Answers
The area of the obtuse triangle is 34 square feet with a base of 10 ft and height of 6.8 ft.
To find the area of the obtuse triangle, we can use the formula A = (1/2) * base * height. Let's denote the unknown part of the base as x.
In the given triangle, we have the width of the obtuse angle triangle as 10 ft, the height (perpendicular) as 6.8 ft, and the unknown part of the base as x.
Using the formula, we can calculate the area as:
A = (1/2) * (10 + x) * 6.8
Simplifying this expression, we get:
A = 3.4(10 + x)
Now, we need to determine the value of x. From the given information, we know that the width of the obtuse angle triangle is 10 ft. This means the sum of the two parts of the base is 10 ft. Therefore, we can write the equation:
x + 10 = 10
Solving for x, we find:
x = 0
Since x = 0, it means that one part of the base has a length of 0 ft. Therefore, the entire base is formed by the width of the obtuse angle triangle, which is 10 ft.
Now, substituting this value of x back into the area formula, we have:
A = 3.4(10 + 0)
A = 3.4 * 10
A = 34 square feet
Hence, the area of the obtuse triangle is 34 square feet.
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Related Questions
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.
Answers
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 (-,-) quadrant
Answers
In the context of a Cartesian coordinate system, the term "(-,-) quadrant" refers to the third quadrant, also known as Quadrant III.
The Cartesian coordinate system consists of four quadrants, numbered from I to IV in a counterclockwise direction. Each quadrant is defined by the signs of the x and y coordinates.
In Quadrant III, the x-coordinates are negative (represented by the "-") and the y-coordinates are also negative. This means that any point located in this quadrant will have both x and y values that are less than zero.
Visually, Quadrant III is situated below the x-axis and to the left of the y-axis. It is characterized by its lower left position in the coordinate plane.
Points in Quadrant III can be thought of as having a negative horizontal position (to the left of the origin) and a negative vertical position (below the origin).
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……………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
Answers
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).
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the table shows how the distance traveled by a dogsled is changing over time
what value is missing from the table
Answers
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.
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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.
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? *
Answers
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.
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determine the surface area and volume
Answers
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.)
QUESTION 3 Find the value of x in the figure below. (4 marks) a) (5x15) +5+45- 45°
Answers
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°
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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?
Answers
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.
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PLEASE I NEED HELP I DONT UNDERSTAND THIS
Answers
Answer:
- 15pr
Step-by-step explanation:
- 5p(3r) ← means multiply 3r by - 5p
= - 5p × 3r
= - 5 × 3 × p × r
= - 15 × pr
= - 15pr
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
Answers
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.
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please help me !!!!!!!
Answers
Answer:
F(5)= -1
if 5 is the value on the x axis it corresponds to -1 on the y axis
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.
Answers
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.
how do you find out how many positive zeros and negative zeros are in a polynomial based on a graph?
Answers
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.
guys give examples of cylinder volume word problems pls
Answers
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.
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What are the coordinates of the midpoint of the line segment whose end points are (2, 6) and (10, 4)?
Answers
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.
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Please awnser asap I will brainlist
Answers
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
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Anna volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 382 people went to The Youth Wing, 461 people went to Social Issues, and 355 went to Fiction and Literature. On Sunday, the library had 800 total visitors. Based on what Anna had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Answers
Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.
Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:
[tex]\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}[/tex]
Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:
[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}[/tex]
Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:
[tex]\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}[/tex]
[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800[/tex]
Calculating the proportion:
[tex]\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}[/tex]
Calculating the estimated number of visitors to The Youth Wing on Sunday:
[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800[/tex]
Simplifying the equation:
[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}[/tex]
Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:
[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254[/tex]
Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Question #3
Solve for x
10
6x + 8
K
U
N
L
122°
M
194°
Answers
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°.
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Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
Question #1
Solve for x
E
16x9
D
C
45°
Answers
Answer:
[tex]x = \frac{3\pi}{64} +\frac{9}{16}[/tex]
Step-by-step explanation:
We have
∠D = 45° = 45* π/180 radians = π/4 radians - eq(1)
big arc + small arc = 2π
small arc = 16x - 9
⇒ big arc = 2π - small arc
big arc = 2π - 16x + 9
[tex]\angle D = \frac{big \;arc - small \;arc}{2}[/tex]
[tex]\angle D = \frac{2\pi - 16x + 9 - 16x +9}{2}\\\\= \angle D = \frac{2\pi - 32x + 19 }{2}\\\\\angle D = \pi - 16x + 9[/tex]
Equating with eq(1)
π - 16x + 9 = π/4
⇒ 16 x = π - (π/4) +9
⇒ 16 x = (3π/4) +9
⇒ [tex]x = \frac{1}{16} (\frac{3\pi}{4} +9)[/tex]
[tex]x = \frac{3\pi}{64} +\frac{9}{16}[/tex]
There are 29 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, and Treasurer?
Answers
Since the positions of President, Vice President, and Treasurer are distinct, we can consider them as three separate positions to be filled.
The number of ways to choose a President from 29 students is 29.
After choosing the President, there are 28 students remaining.
The number of ways to choose a Vice President from the remaining 28 students is 28.
After choosing the Vice President, there are 27 students remaining.
The number of ways to choose a Treasurer from the remaining 27 students is 27.
To find the total number of different ways, we multiply the number of choices for each position:
29 * 28 * 27 = 21,924
Therefore, there are 21,924 different ways to choose the President, Vice President, and Treasurer from a homeroom of 29 students.
To bake some cakes, a baker used 40g of strawberries for every220g of flour. If the total amount of strawberries and flour that the baker used was 1040g, what was the amount of flour the baker used?
Answers
Answer:
880g of flour
Step-by-step explanation:
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
The ratio the baker uses (strawberries: flour) is:
40g: 220gAdding the two of these together gives us:
40g + 220 = 260gThis means that for 1 batch of cakes, 260g of flour and strawberries is needed in total.
Now that we know that, we can take 1040g and divide that by 260g.
1040g ÷ 260g = 4
This means that the baker made 4 batches of cakes using 1040g total.
Taking the amount of flour and multiplying that by 4 to get the amount of flour used:
220g × 4 = 880g
Therefore the baker uses 880g of flour for every 1040g total.
What is the product of (p^3)(2p^2 - 4p)(3p^2 - 1)?
Answers
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.
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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.
Answers
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.
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I’m trying to solve p=2l+2w solving for w
Answers
The solution for p=2l+2w, the value of w= 3 units.
To solve the equation p = 2l + 2w for w, we will follow the steps below:
Step 1: Start with the given equation: p = 2l + 2w.
Step 2: To isolate the variable w, we need to get rid of the terms involving l. We can do this by subtracting 2l from both sides of the equation:
p - 2l = 2w.
Step 3: Next, we want to solve for w. To do this, we divide both sides of the equation by 2:
(p - 2l) / 2 = w.
Step 4: Simplify the expression on the right side:
w = (p - 2l) / 2.
Now, let's apply this formula to a specific example. Suppose we have a rectangle with a perimeter of 16 units (p = 16) and a length of 5 units (l = 5). We can find the width (w) using the formula:
w = (16 - 2(5)) / 2
w = (16 - 10) / 2
w = 6 / 2
w = 3.
By following the steps outlined above and substituting the given values of the perimeter (p) and length (l) into the formula w = (p - 2l) / 2, you can determine the value of the width (w) for any given rectangle.
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A spinner has five sectors of equal size the sectors are labeled 1, 2, 3, 4 and five the spinner is spun twice X is the number of times three is fun drag each bar on the horizontal axis to the correct location to create a probability distribution for X
Answers
The probability distribution for X is given as follows:
P(X = 0) = 0.64.P(X = 1) = 0.32.P(X = 2) = 0.04.How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The distribution gives the probability of each possible outcome, hence it is given as follows:
P(X = 0) = 0.64.P(X = 1) = 0.32.P(X = 2) = 0.04.Learn more about the concept of probability at https://brainly.com/question/24756209
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If f(x)= 2 x -2x , find f(-1) , f( 2 x ) , f(t) , and f(p-1) .
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The values of f(-1), f(2x), f(t), and f(p-1) all simplify to 0. Therefore, f(-1) = f(2x) = f(t) = f(p-1) = 0.
To find the values of f(-1), f(2x), f(t), and f(p-1), we substitute the given values into the function f(x) = 2x - 2x and simplify.
f(-1):
Substituting x = -1 into f(x):
f(-1) = 2(-1) - 2(-1) = -2 + 2 = 0
f(2x):
Substituting x = 2x into f(x):
f(2x) = 2(2x) - 2(2x) = 4x - 4x = 0
f(t):
Substituting x = t into f(x):
f(t) = 2(t) - 2(t) = 2t - 2t = 0
f(p-1):
Substituting x = p-1 into f(x):
f(p-1) = 2(p-1) - 2(p-1) = 2p - 2 - 2p + 2 = 0
The values of f(-1), f(2x), f(t), and f(p-1) all simplify to 0. Therefore, f(-1) = f(2x) = f(t) = f(p-1) = 0.
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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.
Answers
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.
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NO LINKS!! URGENT HELP PLEASE!!
Please help me with #38 & 39
Answers
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°
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Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
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The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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