First, we need to calculate the area of the room Jenny is tiling, which appears to be in the shape of a rectangle. The area is calculated by multiplying the length and width of the rectangle. If the measurements provided (2.6m and 11m) are for the length and width, then the area of the room would be:
Area = length x width
Area = 2.6m x 11m
Area = 28.6 m²
Next, we need to calculate how many packs of tiles Jenny needs to buy. Given that each pack covers an area of 3m², we divide the total area by the area each pack covers:
Number of packs needed = total area / area covered by one pack
Number of packs needed = 28.6m² / 3m² ≈ 9.53 packs
Since Jenny can't buy a fraction of a pack, she needs to purchase 10 packs of tiles.
The tiles are marked at £18.60, so before the discount, the total cost of the tiles would be:
Total cost = number of packs x price per pack
Total cost = 10 packs x £18.60 = £186
Jenny has a discount card which gives her a 25% discount off the marked price. The discount amount can be calculated as:
Discount = total cost x discount rate
Discount = £186 x 25% = £46.5
So, the cost of the tiles after the discount is:
Discounted price = total cost - discount
Discounted price = £186 - £46.5 = £139.5
Jenny has £100 to spend on the tiles. The extra amount Jenny needs is the difference between the cost of the tiles after the discount and the amount she has:
Extra amount needed = discounted price - amount Jenny has
Extra amount needed = £139.5 - £100 = £39.5
The question asks for the answer in pence, and there are 100 pence in a pound, so:
Extra amount needed in pence = extra amount needed in pounds x 100
Extra amount needed in pence = £39.5 x 100 = 3950 pence
Therefore, Jenny needs an extra 3950 pence to buy the tiles.
Utility company charges.10 cents per kilowatt-hour of electricity what is the daily cost of keeping lit a 50 watt bulb for 9hrs each day
The daily cost of keeping a 50-watt bulb lit for 9 hours each day would be approximately $0.045 (or 4.5 cents).
To calculate the daily cost of keeping a 50-watt bulb lit for 9 hours each day, we need to consider the electricity cost per kilowatt-hour (kWh) and convert the wattage to kilowatts.
First, we convert the wattage of the bulb to kilowatts by dividing it by 1000:
50 watts = 50/1000 = 0.05 kilowatts.
Next, we calculate the total energy consumed by multiplying the power (in kilowatts) by the time (in hours):
Total energy consumed = 0.05 kW * 9 hours = 0.45 kilowatt-hours (kWh).
Now, we multiply the total energy consumed by the cost per kilowatt-hour to find the daily cost:
Daily cost = 0.45 kWh * $0.10/kWh = $0.045.
For more such questions on cost
https://brainly.com/question/29509552
#SPJ8
Since the mode is the most frequently occurring data value, it
Select one:
a. is always larger than the mean
b. can never be larger than the mean
c. must have a value of at least two
d. is always larger than the median
e. None of these answers is correct.
Any answer without justification will be rejected automatically.
The correct answer is option (e): None of these answers is correct.
The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.
The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.
There are 29 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, and Treasurer?
The times taken for a group of people to
complete a race are shown below.
Estimate the number of people who took
longer than 325 minutes to complete the
race.
Cumulative frequency
250-
200-
150-
100-
50-
0
Time to complete a race
100 200 300 400 500
Time (minutes)
An estimate of 20 people took longer than 325 minutes to complete the race.
To estimate the number of people who took longer than 325 minutes to complete the race, we need to use the cumulative frequency distribution.
The cumulative frequency of a class interval is obtained by adding up the frequencies of all the class intervals up to and including that interval. The sum of the frequencies for each class interval is known as the cumulative frequency.In this case, the cumulative frequency distribution is given as follows:
Class Interval | Frequency | Cumulative Frequency250 - 200 | 5 | 5200 - 150 | 12 | 12150 - 100 | 18 | 30100 - 50 | 11 | 4050 - 0 | 4 | 44Total: 50
Now, to estimate the number of people who took longer than 325 minutes to complete the race, we need to look at the cumulative frequency that corresponds to 325 minutes.
From the table, we can see that the cumulative frequency of the class interval 300-400 minutes is 30. This means that 30 people took between 100 and 400 minutes to complete the race.
Therefore, the number of people who took longer than 325 minutes is the difference between the total number of people who took between 100 and 500 minutes and the number of people who took between 100 and 325 minutes. This can be calculated as follows:50 - 30 = 20.
Hence, an estimate of 20 people took longer than 325 minutes to complete the race.
For more such questions on estimate, click on:
https://brainly.com/question/597381
#SPJ8
The probable question may be:
Estimate the number of people who took longer than 325 minutes to complete the race, given the following cumulative frequency distribution:
Cumulative frequency:
250-
200-
150-
100-
50-
0
Time to complete a race:
100 200 300 400 500
Time (minutes).
Write the numeral in base ten. 7,001eight
The numeral 7,001 eight is equal to 3585 in base ten.
To convert the numeral 7,001 in base eight to base ten, we need to multiply each digit by the corresponding power of eight and sum them up.
Starting from the rightmost digit, we have:
[tex]1 * 8^0 = 1\\0 * 8^1 = 0\\0 * 8^2 = 0\\7 * 8^3 = 3584[/tex]
Adding these values together, we get:
1 + 0 + 0 + 3584 = 3585
Therefore, the numeral 7,001eight is equal to 3585 in base ten.
for such more question on numeral
https://brainly.com/question/14532771
#SPJ8
NO LINKS!! URGENT HELP PLEASE!!
Please help me with #38 & 39
The chords arc theorem and the angles of intersecting chords theorem indicates that we get;
a. CD = 32
b. [tex]m\widehat{BD}[/tex] = 55°
c. [tex]m\widehat{CD}[/tex] = 110°
d. [tex]m\widehat{AB}[/tex] = 125°
What is the angle of intersecting chords theorem?The angle of intersecting chords theorem states that the angle formed by the intersection of two chords in a circle is half the sum of the measure of the intercepted arcs.
The diameter of the circle AB indicates that we get;
PB is the perpendicular of the chord CD
CE = DE = 16
CD = CE + DE = 16 + 16 = 32
The chords CB and BD are congruent, therefore, according to the chords arc theorem, the arcs the chords intercepts are congruent.
Therefore; (4·x + 7)° = (5·x - 5)°
4·x + 7 = 5·x - 5
5·x - 4·x = 7 + 5 = 12
x = 12
[tex]m\widehat{BD}[/tex] = (5·x - 5)° = (5 × 12 - 5)° = 55°
[tex]m\widehat{BC}[/tex] = [tex]m\widehat{BD}[/tex] = 55°
[tex]m\widehat{CD}[/tex] = [tex]m\widehat{BC}[/tex] + [tex]m\widehat{BD}[/tex] = 55° + 55° = 110°
The angle of intersecting chords theorem indicates that we get;
90° = (1/2) × ((5·x - 5)° + m[tex]\widehat{AC}[/tex])
90° = (1/2) × ((4·x + 7)° + m[tex]\widehat{AD}[/tex])
Therefore; 2 × 90° = (4·x + 7)° + m[tex]\widehat{AD}[/tex]
(4·x + 7)° = 55°
Therefore; 2 × 90° = (4·x + 7)° + m[tex]\widehat{AD}[/tex] = 55° + m[tex]\widehat{AD}[/tex]
180° = 55° + m[tex]\widehat{AD}[/tex]
m[tex]\widehat{AD}[/tex] = 180° - 55° = 125°
m[tex]\widehat{AD}[/tex] = 125°
Learn more on the angle of intersecting chords theorem here: https://brainly.com/question/13171469
#SPJ1
the table shows how the distance traveled by a dogsled is changing over time
what value is missing from the table
The missing value in the table is 64 miles.The correct answer is option C.
To determine the missing value in the table, we can observe the pattern in the given data. Looking at the time values, we can see that they are increasing by a constant interval of 2 hours: 2, 4, 6, 8, 10. The corresponding distances traveled are 16, 32, 48, ?, 80.
By examining the distances, we can see that they are increasing by a constant interval of 16 miles. The first distance is 16 miles when the time is 2 hours, and it increases by 16 miles for every 2-hour increment.
To find the missing value, we need to determine the distance traveled at 8 hours. Since the interval is 16 miles for every 2 hours, the distance traveled at 8 hours can be calculated by multiplying the interval by the number of 2-hour increments from the first data point: 16 miles * (8 hours / 2 hours) = 16 miles * 4 = 64 miles.
Therefore, the missing value in the table is 64 miles, which corresponds to option C.
For more such questions value,click on
https://brainly.com/question/843074
#SPJ8
The probable question may be:
The table shows how the distance traveled by a dogsled is changing over time.
Time (in hours) :- 2,4,6,8,10.
Distance Traveled (In miles) :- 16,32,48,?,80.
What value is missing from the table?
A. 50.
B. 68.
C. 64.
D. 60.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3x+=x+5
5
12
Therefore, the value of x that solves the equation is 2/7, after eliminating the fractions and solving the resulting equation.
To eliminate fractions in the equation 6 - 3x + (1/2)x = x + 5, we can multiply each term by a number that will clear the denominators. In this case, the denominator is 2 in the term (1/2)x. The least common multiple (LCM) of 2 is 2 itself, so we can multiply each term by 2 to eliminate the fraction.
By multiplying each term by 2, we get:
2 * (6 - 3x) + 2 * ((1/2)x) = 2 * (x + 5)
Simplifying this expression, we have:
12 - 6x + x = 2x + 10
Now, the equation is free of fractions, and we can proceed to solve it.
Combining like terms, we have:
12 - 5x = 2x + 10
To isolate the variable terms, we can move the 2x term to the left side by subtracting 2x from both sides:
12 - 5x - 2x = 10
Simplifying further:
12 - 7x = 10
Next, we can move the constant term to the right side by subtracting 12 from both sides:
12 - 7x - 12 = 10 - 12
Simplifying again:
-7x = -2
Finally, we solve for x by dividing both sides by -7:
x = (-2) / (-7)
Simplifying the division of -2 by -7 gives us the solution:
x = 2/7
for similar questions on fractions.
https://brainly.com/question/78672
#SPJ8
Please awnser asap I will brainlist
The solution to the system is (a) (4/5, 5, -4, -4)
How to determine the solution to the systemFrom the question, we have the following parameters that can be used in our computation:
The augmented matrix
Where, we have
[tex]\left[\begin{array}{cccc|c}1&0&0&0&4/5\\0&1&0&0&5\\0&0&1&0&-4\\0&0&0&1&-4\end{array}\right][/tex]
From the above, we have the diagonals to be 1
And other elements to be 0
This means that the equation has been solved
So, we have
a = 4/5, b = 5, c = -4 and d =-4
Read more about matrix at
brainly.com/question/11989522
#SPJ1
what is the answer and how do I figure it out
Answer:
[tex]\frac{3}{7}[/tex] < [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]\frac{3}{7}[/tex] ? [tex]\frac{3}{5}[/tex]
We have to get both fractions with the same denominator to compare them.
[tex]\frac{3}{7}[/tex] = [tex]\frac{15}{35}[/tex]
[tex]\frac{3}{5}[/tex] = [tex]\frac{21}{35}[/tex]
[tex]\frac{15}{35} < \frac{21}{35}[/tex]
So, [tex]\frac{3}{7}[/tex] < [tex]\frac{3}{5}[/tex]
6, 12, 24, 48, 96, … Each term is 6 more than the previous term. Each term is 12 more than the previous term. Each term is 1/2 the previous term. Each term is 2 times the previous term.
The given sequence can be generated by multiplying each term by 2, starting from the initial term of 6.
The pattern that fits the given sequence 6, 12, 24, 48, 96, ... is that each term is 2 times the previous term.
In the sequence 6, 12, 24, 48, 96, ... there are multiple possible patterns, each resulting from a different rule applied to generate the next term. Let's examine each of the proposed patterns:
Each term is 6 more than the previous term:
Starting with 6, if we add 6 to each term, we get:
6 + 6 = 12
12 + 6 = 18
18 + 6 = 24
24 + 6 = 30
30 + 6 = 36
...
This pattern does not match the given sequence since it does not produce the subsequent terms.
Each term is 12 more than the previous term:
Starting with 6, if we add 12 to each term, we get:
6 + 12 = 18
18 + 12 = 30
30 + 12 = 42
42 + 12 = 54
54 + 12 = 66
...
This pattern also does not match the given sequence.
Each term is 1/2 the previous term:
Starting with 6, if we multiply each term by 1/2, we get:
6 [tex]\times[/tex] 1/2 = 3
3 [tex]\times[/tex] 1/2 = 1.5
1.5 [tex]\times[/tex] 1/2 = 0.75
0.75 [tex]\times[/tex] 1/2 = 0.375
0.375 [tex]\times[/tex] 1/2 = 0.1875
...
This pattern does not match the given sequence.
Each term is 2 times the previous term:
Starting with 6, if we multiply each term by 2, we get:
6 [tex]\times[/tex] 2 = 12
12 [tex]\times[/tex] 2 = 24
24 [tex]\times[/tex]2 = 48
48 [tex]\times[/tex]2 = 96
96 [tex]\times[/tex]2 = 192
This pattern perfectly matches the given sequence. Each term is indeed 2 times the previous term, resulting in the next term.
For similar question on sequence.
https://brainly.com/question/28354530
#SPJ8
Suppose you have entered a 48-mile biathlon that consists of a run and a bicycle race. During your run, your average
velocity is 5 miles per hour, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race
in 6 hours. What is the distance of the run? What is the distance of the bicycle race?
[tex]\displaystyle \text{To solve this problem, let's assume the distance of the run is denoted by 'x' miles, and the distance of the bicycle race is denoted by '48 - x' miles.}[/tex]
[tex]\displaystyle \text{We can use the formula: time} = \text{distance/velocity to find the time taken for each segment of the race.}[/tex]
[tex]\displaystyle \text{For the run:}[/tex]
[tex]\displaystyle \text{Time taken} = \text{Distance/Velocity}[/tex]
[tex]\displaystyle t_1 = \frac{x}{5}[/tex]
[tex]\displaystyle \text{For the bicycle race:}[/tex]
[tex]\displaystyle \text{Time taken} = \text{Distance/Velocity}[/tex]
[tex]\displaystyle t_2 = \frac{48 - x}{23}[/tex]
[tex]\displaystyle \text{Given that the total time for the race is 6 hours, we can write the equation:}[/tex]
[tex]\displaystyle t_1 + t_2 = 6[/tex]
[tex]\displaystyle \text{Substituting the expressions for } t_1 \text{ and } t_2, \text{ we get:}[/tex]
[tex]\displaystyle \frac{x}{5} + \frac{48 - x}{23} = 6[/tex]
[tex]\displaystyle \text{To solve this equation, we can simplify it by multiplying through by the common denominator, which is 115:}[/tex]
[tex]\displaystyle 23x + 5(48 - x) = 6 \times 115[/tex]
[tex]\displaystyle \text{Simplifying further:}[/tex]
[tex]\displaystyle 23x + 240 - 5x = 690[/tex]
[tex]\displaystyle 18x = 450[/tex]
[tex]\displaystyle x = \frac{450}{18}[/tex]
[tex]\displaystyle x = 25[/tex]
[tex]\displaystyle \text{Therefore, the distance of the run is 25 miles, and the distance of the bicycle race is } 48 - 25 = 23 \text{ miles.}[/tex]
how do you find out how many positive zeros and negative zeros are in a polynomial based on a graph?
In this context, the term "zeros" refers to the roots or x-intercepts.
You're looking for where the graph either,
a) touches the x axis, or,b) crosses the x axisSee the diagram below. That example shows two positive roots, because each root is to the right of the vertical y axis.
determine the surface area and volume
Answer:
surface area=214cm2, volume=183 cm3
Step-by-step explanation:
slanted height=√5^2+7^2 (Pythagoras theorem)
= √74
area of bottom part=π(5)^2
=25π
area of top cone part=π(5)(√74)
surface area of cone=25π+π(5)(√74)
=214 cm2(to 3 s.f.)
volume of cone=1/3π(5)^2×7
=183 cm3(to 3 s.f.)
a) A club uses email to contact its members. The chain starts with 3 members who
each contact three more members. Then those members each contact 3 members, and
so the contacts continue.
The exponential function that represents the number of members contacted after x days is given as follows:
[tex]N(x) = 3(3)^x[/tex]
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
[tex]y = ab^x[/tex]
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 3 -> the chain starts with 3 members.b = 3 -> each new member contacts 3 members.Hence the function is given as follows:
[tex]N(x) = 3(3)^x[/tex]
Missing InformationThe problem asks for the exponential function that represents the number of members contacted after x days.
More can be learned about exponential functions at brainly.com/question/2456547
#SPJ1
ANSWER ASAP question in image
The values in the boxes that correctly complete the division model and quotient are presented as follows;
[tex]{}[/tex] 10 2 4
6 [tex]{}[/tex] 60 16
76 ÷ 6 = 12 R 4
What is a division area model?A division area model comprises of the number being divided, representing the area of a rectangle, and a factor or the divisor, being a side length of the rectangle.
The number 76 divided by 6 using the division model can be evaluated by setting the area of the rectangle as 76 and the length of side of the rectangle as 6, asw follows;
The division model
The model for the division of 76 ÷ 6 can be presented as follows;
[tex]{}[/tex] 10 2 4
6 [tex]{}[/tex] 60 16
Therefore; 76 ÷ 6 = 10 + 2 = 12 Remainder 4
Learn more on representing division using division area models here: https://brainly.com/question/27954894
#SPJ1
How would I find cos?
When [tex]sin(\theta) = -0.42[/tex] and [tex]\pi < \theta < 3\pi/2[/tex], the value of [tex]cos(\theta)[/tex] is approximately 0.9071.
To find the value of cos([tex]\theta[/tex]) given[tex]sin(\theta) = -0.42[/tex] and [tex]\pi < \theta < 3\pi/2[/tex], we can use the trigonometric identity:
[tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]
Since we are given sin(theta) = -0.42, we can substitute this value into the equation:
[tex](-0.42)^2 + cos^2(\theta) = 1[/tex]
Simplifying:
[tex]0.1764 + cos^2(\theta) = 1[/tex]
Subtracting 0.1764 from both sides:
[tex]cos^2(\theta) = 0.8236[/tex]
Taking the square root of both sides (since cos(theta) is positive):
[tex]cos(\theta) = \sqrt{(0.8236)} \\cos(\theta) = 0.9071[/tex]
Therefore, when [tex]sin(\theta) = -0.42[/tex] and [tex]\pi < \theta < 3\pi/2[/tex], the value of [tex]cos(\theta)[/tex]is approximately 0.9071.
for such more question on value
https://brainly.com/question/27746495
#SPJ8
QUESTION 3 Find the value of x in the figure below. (4 marks) a) (5x15) +5+45- 45°
The calculated value of x in the triangle is 40°
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The figure (see attachment)
Using the theorem of linear pair, we have
∠DBA + ∠ABC = 180°
Using the given values, we have
∠100° + ∠ABC = 180°
Collect the like terms
∠ABC = 180° - 100°
Evaluate
∠ABC = 80°
The sum of angles of a triangle is 180° .
So, in triangle ABC
∠A + ∠B + ∠C = 180°
Using the given values, we have
x + 80 + 60 = 180°
Evaluate the sum
x + 140 = 180°
Collect the like terms
x = 180° - 140°
Evaluate
x = 40°
Hence, the value of x is 40°
Read more about angles at
https://brainly.com/question/31898235
#SPJ1
Miguel rolled up his sleeping bag and tied it with string. Estimate about how much string he used.
about ____ inches
OR about ____ feet
Answer:
Assuming Miguel rolled up his sleeping bag tightly and neatly, the length and circumference of the sleeping bag can help us estimate the length of string needed to tie it up.
Let's say the length of the sleeping bag is 6 feet and the circumference (distance around) is 3 feet. To tie it up, Miguel would need to wrap the string around it 2-3 times, depending on how long the string is and how tight he ties the knot.
So, we can estimate that he used about 12-18 feet of string (i.e. 2-3 times the circumference). In inches, that would be about 144-216 inches of string (i.e. 12-18 feet * 12 inches/foot).
Keep in mind that this is just an estimate and the actual amount of string used may vary depending on the factors mentioned above.
Step-by-step explanation:
El perímetro de un módulo de vigilancia en forma de pentagono regular es de 35 metro, si un trabajador se le encargo pintar uno de sus muros para lo cual cobrar por metro lineal ¿cuantos metros pintará?
Answer:El pintor debe pintar un muro de módulo de vigilancia, que es un pentágono regular, por tanto, procedemos a buscar cuántos metros debe pintar: P = 5·L 35 m = 5·L L = 35 m / 5 L = 7 m En consecuencia, al pintar un muro, el trabajador pintará 7 m.
Step-by-step explanation:
El trabajador pintará 7 metros de muro, ya que esa es la longitud de cada lado del pentágono regular cuyo perímetro es de 35 metros.
Explanation:Un pentágono regular es una figura con cinco lados iguales. Si su perímetro total es de 35 metros, entonces cada lado del pentágono mide 35 metros dividido entre 5, que resulta igual a 7 metros. Entonces, si el trabajador debe pintar uno de los muros del pentágono regular, la cantidad de metros lineales a pintar será igual a la longitud de uno de sus lados. Por lo tanto, el trabajador pintará 7 metros de muro.
Learn more about Perímetro de pentágono regular here:https://brainly.com/question/32507074
#SPJ2
Jasmine works as a magician at children's parties. For each party she charges
$28 for the first hour and $20 per hour after that. This is represented by the
equation t-28-20[h-1) where t is the total amount Jasmine charges and his
the number of hours she works. Jasmine has decided to charge $30 for the first
hour.
Which of the following equations represents Jasmine's new fee?
Answer:
Step-by-step explanation:
$28 for 1st hr and $20per hr after that:
t = 28 + 20(h-1)
$30 for 1st hr and $20per hr after that:
t = 30 + 20(h-1)
t - 30 - 20(h-1)
8. Juan, Pedro, María, César, Tomás y Natalia son escogidos para colaborar en un estudio para obtener la vacuna Covid, para ello, hacen 2 grupos de 3 personas cada uno. Un grupo es inyectado con placebo y el otro grupo es inyectado con la vacuna de estudio. ¿De cuántas maneras podemos escoger el grupo al que se le inyectará la vacuna de estudio?, ¿Cuál es la probabilidad de que Juan y María estén en el grupo de la vacuna de estudio? *
The number of ways to choose the groups is given as follows:
20 ways.
The probability that both Juan and Maria are in the vaccine group is given as follows:
1/5.
La probabilidad de que Juan y María estén en el grupo de la vacuna de estudio es:
1/5.
What is the combination formula?The number of different combinations of x objects from a set of n elements, when the order of the elements is not important, is obtained with the formula presented as follows, using factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, we have that six people are divided into two groups of 3 people, hence the number of ways to choose the groups is given as follows:
C(6,3) = 6!/(3! x 3!) = 20 ways.
The number of outcomes in which Juan and Maria are in the vaccine group is given as follows:
1 x 1 x 4(the third member can be any of the remaining four people) = 4.
Hence the probability is given as follows:
4/20 = 1/5.
More can be learned about the combination formula at https://brainly.com/question/11732255
#SPJ1
guys give examples of cylinder volume word problems pls
The volume of a cylinder is given by the equation presented as follows:
V = πr²h.
In which:
r is the radius.h is the height.How to obtain the volume of the cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
Hence the measures must be identified and have it's values replaced into the formula to obtain the volume of a cylinder.
More can be learned about the volume of a cylinder at brainly.com/question/9554871
#SPJ1
What are the coordinates of the midpoint of the line segment whose end points are (2, 6) and (10, 4)?
The midpoint of the line segment with endpoints (2, 6) and (10, 4) is (6, 5).
To find the midpoint of a line segment, we can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the endpoints.
Let's denote the coordinates of the first endpoint as (x1, y1) and the coordinates of the second endpoint as (x2, y2).
In this case, the first endpoint is (2, 6) with coordinates (x1, y1) = (2, 6), and the second endpoint is (10, 4) with coordinates (x2, y2) = (10, 4).
To find the midpoint, we use the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Plugging in the values, we have:
Midpoint = ((2 + 10) / 2, (6 + 4) / 2)
= (12 / 2, 10 / 2)
= (6, 5)
As a result, (6, 5) is the point on the line segment where the endpoints are (2, 6) and (10, 4) respectively.
for such more question on line segment
https://brainly.com/question/10496716
#SPJ8
Question #3
Solve for x
10
6x + 8
K
U
N
L
122°
M
194°
Answer:
be more clear of what u mean edit the question and explain more of u mean
Answer:
(b) 7
Step-by-step explanation:
You want to find the value of x in the figure where chords that cross at an angle of 122° intercept arcs of 195° and (6x+8)°.
Crossing angleThe angle where the chords cross is half the sum of the measures of the intercepted arcs:
(194° +(6x +8)°)/2 = 122°
101 +3x = 122 . . . . . . . . . . divide by °, simplify
3x = 21 . . . . . . . . . . . subtract 101
x = 7 . . . . . . . . . . divide by 3
The value of x is 7.
__
Additional comment
The measure of arc KU is 50°.
<95141404393>
Work out the value of 408 5
Give your answer as a decimal.
The value of 408^5 is approximately 273,539,283,056,896. This is a large number that can be accurately calculated using a calculator or computer program.
To work out the value of 408^5, we need to perform the exponentiation calculation. In this case, 408 is the base, and 5 is the exponent.
Calculating large exponentiations like this can be time-consuming and prone to error if done manually. However, with the help of a calculator or computer, we can easily find the result.
Using a calculator or computer program, we can calculate 408^5 and obtain the value. The result is a very large number:
408^5 ≈ 273,539,283,056,896
Therefore, the value of 408^5 is approximately 273,539,283,056,896.
In decimal notation, the value is written as:
273,539,283,056,896
For more such question on value. visit :
https://brainly.com/question/843074
#SPJ8
NO LINKS!! URGENT HELP PLEASE!!
Please help with 21
Answer:
34.45%
Step-by-step explanation:
A tree diagram shows all possible outcomes of two or more events.
Each branch is a possible outcome and is labelled with the probability of that outcome.
Draw lines (branches) to represent the first event (main meal). Write the outcomes on the ends of the branches: "sandwich" and "slice of pizza". Write the given probabilities on the branches.
Draw the next set of branches to represent the second event (side). Write the outcomes on the ends of the branches: "chips" and "veggies with hummus". Write the given probabilities on the branches.
We assume that the events in this scenario are independent, so the probability of the first event happening has no impact on the probability of the second event or the third event happening. Therefore, to find the probability of each combination of events, multiply along the branches.
Sandwich and chips = 35% × 47% = 16.45%
Sandwich and veggies with hummus = 35% × 53% = 18.55%
Slice of pizza and chips = 65% × 47% = 30.55%
Slice of pizza and veggies with hummus = 65% × 53% = 34.45%
Therefore, the probability that Sophie selects a slice of pizza and veggies is 34.45%.
The probability that Sophie selects a slice of pizza and veggies is 34.45%.
Calculating the probability of pizza and veggiesFrom the question, we have the following parameters that can be used in our computation:
Sandwich = 35%Chips = 47%Veggies with hummus = 53%Pizza = 65%The probability of pizza and veggies is calculated as
P = Pizza * Veggies
Substitute the known values in the above equation, so, we have the following representation
P = 65% * 53%
Evaluate
P = 34.45%
Hence, the probability that Sophie selects a slice of pizza and veggies is 34.45%.
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
A motorboat can maintain a constant speed of 11 miles
per hour relative to the water. The boat makes a trip
upstream to a certain point in 26 minutes; the return trip
takes 18 minutes. What is the speed of the current?
The speed of the current is
mile(s) per hour.
Answer:
2 miles per hour.
Step-by-step explanation:
When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the boat's speed relative to the ground (or still water) during the upstream trip is 11 - c miles per hour.
Similarly, when the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the boat's speed relative to the ground during the downstream trip is 11 + c miles per hour.
Given that the boat takes 26 minutes (or 26/60 hours) to make the upstream trip and 18 minutes (or 18/60 hours) to make the downstream trip, we can set up the following equations:
Distance = Speed × Time
For the upstream trip:
Distance = (11 - c) × (26/60)
For the downstream trip:
Distance = (11 + c) × (18/60)
Since the distances traveled in both directions are the same (as the boat goes to the same point and returns), we can equate the two equations:
(11 - c) × (26/60) = (11 + c) × (18/60)
Let's solve this equation to find the value of "c" (the speed of the current):
(11 - c) × (26/60) = (11 + c) × (18/60)
(11 - c) × 26 = (11 + c) × 18
286 - 26c = 198 + 18c
44c = 88
c = 88/44
c = 2
What is the product of (p^3)(2p^2 - 4p)(3p^2 - 1)?
Answer:
Step-by-step explanation:
To find the product of the given expression, we can use the rules of multiplication and apply them to each term within the parentheses:
(p^3)(2p^2 - 4p)(3p^2 - 1)
Expanding the expression, we multiply each term within the parentheses:
= p^3 * 2p^2 * 3p^2 - p^3 * 2p^2 * 1 - p^3 * 4p * 3p^2 + p^3 * 4p * 1
Simplifying further, we combine like terms and perform the multiplication:
= 6p^7 - 2p^5 - 12p^6 + 4p^4
Therefore, the product of (p^3)(2p^2 - 4p)(3p^2 - 1) is 6p^7 - 2p^5 - 12p^6 + 4p^4.
The product of the expressions (p^3)(2p^2 - 4p)(3p^2 - 1) is computed using the distributive property, resulting in 6p^7 - 12p^6 - 2p^5 + 4p^4.
Explanation:To find the product of the given expressions: (p^3)(2p^2 - 4p)(3p^2 - 1), you will need to apply the distributive property, also known as the multiplication across addition and subtraction.
First, distribute p^3 across all terms inside the brackets of the second expression, then do the same with the result across the terms of the third expression.
Steps are as follows:
p^3 * 2p^2 gives 2p^5. p^3 * -4p gives -4p^4. So (p^3)(2p^2 - 4p) gives 2p^5 - 4p^4. Distribute 2p^5 - 4p^4 across all terms inside the brackets of the third expression. 2p^5 * 3p^2 gives 6p^7 and 2p^5 * -1 gives -2p^5. Similarly, -4p^4 * 3p^2 gives -12p^6 and -4p^4 * -1 gives 4p^4.
All together, it results in: 6p^7 - 12p^6 - 2p^5 + 4p^4. That is the product of the initial expressions.
Learn more about Distributive Property here:https://brainly.com/question/6276874
#SPJ2
……………and ………… are appropriate x-axis and y-axis unit scales given the coordinates (50, 40).
OA. 50; 10
B. 10; 5
C. 10; 50
OD. 50; 1
10 and 5 are appropriate x-axis and y-axis unit scales given the coordinates (50, 40). Option B.
To determine the appropriate x-axis and y-axis unit scales given the coordinates (50, 40), we need to consider the relationship between the units on the axes and the corresponding values in the coordinate system.
The x-axis represents the horizontal dimension, while the y-axis represents the vertical dimension. The x-coordinate (50) represents a position along the x-axis, and the y-coordinate (40) represents a position along the y-axis.
To determine the appropriate scales, we need to consider how many units on the x-axis are needed to span the distance from 0 to 50 and how many units on the y-axis are needed to span the distance from 0 to 40.
In this case, the x-coordinate is 50, which means we need the x-axis to span a distance of 50 units. However, we don't have enough information to determine the scale for the x-axis accurately. Therefore, options A (50; 10) and D (50; 1) cannot be definitively chosen.
Similarly, the y-coordinate is 40, which means we need the y-axis to span a distance of 40 units. Considering the given options, option B (10; 5) would be a suitable scale, as it allows for the y-axis to span the necessary distance of 40 units.
In summary, given the coordinates (50, 40), the appropriate unit scales would be 10 units per increment on the x-axis and 5 units per increment on the y-axis (Option B).
For more question on coordinates visit:
https://brainly.com/question/29660530
#SPJ8