Answer:
t=0
Step-by-step explanation:
First, we expand everything. The left-hand side is -3(2t) - 1(-3), and we expand it to be -6t+3. The right-hand side is t+t+t+3, and we can reduce it to 3t+3. Now that we have both sides of the equation, we set them to each other.
-6t+3=3t+3 (subtract 3 on both sides)
-6t=3t (add 6t to both sides)
9t =0 (divide by 9)
t=0
Dan has a list of the scores of all his
math tests and quizzes during the
year. What are the mode and median
of the data set?
88, 79, 71, 75, 53, 88
a. mode = 88, median = 88
b. mode = 88, median = 77
C. mode = 77, median = 77
d. mode = 77, median = 88
Answer:
b. mode = 88, median = 77
Step-by-step explanation:
First, arrange all the numbers least to greatest.
53, 71, 75, 79, 88, 88
The mode is the number that occurs the most.
mode = 88
The median is the middle number. Since there is an even number of numbers, look at the two middle numbers 75 and 79. Add them together and divide by two (finding the average or mean of the numbers).
75 + 79 = 154
154/2 = 77
median = 77
Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?
Answer:
B.
Step-by-step explanation:
First convert the equation to slope-intercept form:
2x - 5y = 7
-5y = -2x + 7
y = 2/5 x - 7/5
So the slope of the given line is 2/5.
So the slope of a perpendicular line will be -1/ 2/5 = -5/2.
Take B:
5x + 2y = 3
2y = -5x + 3
y = -5/2.
So its B.
(Computer science)
The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?
Answer:1380
Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380
Find Measure of angle B (m
18. a = 7 m, b = 5 m, m∠A = 45°
The value of the variable a is 19.66 and the value of the valriable b is 20.21.
What is the law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by the law of sines,
[tex]\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
The sine angle is the length of the side opposite to that angle.
Then the third angle of the triangle will be
x + 75 + 35 = 180
x = 70
[tex]\rm \dfrac{\sin 75^o}{b} = \dfrac{\sin 35^o}{12} = \dfrac{\sin 70^o}{a}[/tex]
From the first two-term, we have
sin 75 / b = sin 35 / 12
b = 20.21
From the last two-term, we have
sin 70 / a = sin 35 / 12
a = 19.66
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In a diving contest five judges score each dive. the highest and lowest scores are discarded and then the arithmetic average of the remaining scores is taken as the diver's score. if the five judges score a dive as 6.0, 6.3, 6.2, 6.8, and 6.1, then the diver's score is?
Using the given information, the diver's score is 6.2
Calculating average scoreFrom the question, we are to calculate the diver's score
From the given information,
The five judges score a dive as 6.0, 6.3, 6.2, 6.8, and 6.1.
Since the highest and lowest scores are discarded
Then, we will discard 6.8 and 6.0
The remaining scores are 6.1, 6.2, and 6.3
Now, the diver's score will be the average of the remaining scores
∴ The diver's score = (6.1 + 6.2 + 6.3) /3
The diver's score = 18.6 / 3
The diver's score = 6.2
Hence, the diver's score is 6.2
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3^x+3^x =54 what's the value of x ?
Answer:
x = 3
Step-by-step explanation:
if you need an explanation let me know
Answer:
x = 3
Step-by-step explanation:
Given:
[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]
To Find:
Value of xSolution:
We could re-write 3^x+3^x as:
[We factored here][tex] \implies \: 2(3 {}^{x} ) = 54[/tex]
Divide both sides by 2
[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]
[tex] \implies \: 3 {}^{x} = 27[/tex]
Take logarithm on both sides
[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]
[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]
[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]
[tex] \implies \boxed{x = 3}[/tex]
Hence, x = 3 .
Mrs. Rykus does a survey of her 85 students.
20 say math is awesome
35 say math is the best
30 say math is fun
Based on these results, if Mrs. Rykus asks the whole student population 900 students what they think of math, what is the best approximation for how many students will say math is awesome?
A 400
B 212
C 200
D 315
Answer:
212
Step-by-step explanation:
85 here is 100%
And 900 is also 100%
That's for the different comparisons. So now, what we do is, we should divide 85 by 900, and then, whatever is our answer, multiply that by 20.
That is surely going to equal how many students are going to say that Math is Awesome for 900 student survey.
Step 1
85/900=10.5882352941
Let's round that to make it
10.5
Step 2
10.5x20=210
That means, if we go exactly, like multiplying all of those numbers, then our answer should be 212 or 200.
Just to be sure that our answer is correct, we will do it with 10.58 now.
Step 3
10.58x20=211.6
So now it looks like it's most probably going to be 212
But still, let's do 10.588 now.
Step 4
10.588x20=211.76
Okay, let's do it again, with 10.5882
Step 5
10.5882x20=211.764
Okay, so I just multiplied the whole number this time, and I still got a decimal, so that means that your answer is 212 basically.
Based on the data in this two-way table, which statement is true?
Type of Flower/Color Red Pink Yellow Total
Rose 40 20 45 105
Hibiscus 80 40 90 210
Total 120 60 135 315
A.
A flower being pink and a flower being a rose are independent of each other.
B.
A flower being pink is dependent on a flower being a rose.
C.
A flower being a rose is dependent on a flower being pink.
D.
A flower being pink and a flower being a rose are the same.
Northlake High School has two lunch periods. Students can eat their lunch in
the cafeteria or on an outside patio. About 35% of students who have first
lunch eat outside. Compare this with the percentage of second-lunch
students who eat outside.
Answer:
Based on the data given on Northlake High School, we can infer that B. A greater percentage of second-lunch students (39%) eat outside.
What does the data on the First and Second lunches show?
The percentage of second-lunch students who eat outside is:
= Second lunch students who eat outside / Second lunch students
Solving gives:
= 0.18 / 0.46 x 100%
= 0.3913 x 100%
= 39%
This shows that the percentage of students eating their second lunch outside is 39%.
so the answer is B
Step-by-step explanation:
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
The surface area of the cone is 40π
What is a cone?A cone is a solid shape with a circular base and a tapered side.
Analysis:
surface area of a cone = πrl + π[tex]r^{2}[/tex] = π( 6x4) + π(4 x 4) = 40π
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The center circle on a playing field has a radius of 7.5m find its circumference
The circumference of the circular playing field.
Solution:[tex]\huge\boxed{Formula:C= 2\pi{r}}[/tex]
We'll have to multiply 2, π and radius.
Substitute the values according to the formula.
[tex]C= 2× \pi ×7.5[/tex]
[tex]C= 47.12389 [/tex]
[tex]\large\boxed{C= 47.12 \: m}[/tex]
Therefore, the circumference of the circular playing field is 47.12 feets.
solve for K
7K-6
2K+14
Answer:
[tex]k=4[/tex]
Step-by-step explanation:
Using the diagram, we can conclude that the given angles are vertical angles. Vertical angles are opposite angles that are formed when two lines intersect. Vertical angles are always congruent.
Using this information we can set up an equation.
[tex]7k-6=2k+14[/tex]
Subtract 2k from both sides.
[tex]7k-2k-6=2k-2k+14\\5k-6=14[/tex]
Add 6 to both sides
[tex]5k-6+6=14+6\\5k=20[/tex]
Divide both sides by 5
[tex]\frac{5k}{5}=\frac{20}{5}\\k=4[/tex]
CHECK:
7(4) - 6 = 28 - 6 = 22
2(4) + 14 = 8 + 14 = 22
22 = 22
What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answer:
times and divide
they are both diffrent equations
HELP ME PLEASE I WILL MARK BRAINLIEST
Answer:
A) -4, -2
Step-by-step explanation:
The translation vector is the distance
point A: (3, 1)
point A': (-7, -3)
3 + (-7) = -4
1 + (-3) = -2
help pls im being timed i cant do mathhh
A material has a density of 4.5 g/ml and a mass of 2.6 grams, what is the volume?
Answer:
The volume is 11.7
Step-by-step explanation:
[tex]\frac{m}{v}[/tex] = d
[tex]\frac{2.6}{v}[/tex] = 4.5
4.5 × 2.6 = 11.7
v = 11.7
Helppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is 100+24/4*12?????????????? due is 5 minutes plsssssssssssssss
Answer:
172
Step-by-step explanation:
100 + 24 ÷ 4 × 12
Remember PEMDAS
100 + 6 × 12
100 + 72
172
Hope this helps!
A father is 30 years older than his son.Three years ago he was 3 times as old as his son.How old are both of them
Answer:


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Question

A father is 30years older than his son. In 12years, the man will be three times as old as his son. Find their present ages.
Medium
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Solution

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Let the present age of the son be x years
Then father's age will be (x+30) years
Given after 12 years father will be three times as old as his son
Therefore,
(x+12)3=x+30+12
3x+36=x+42
3x−x=42−36
2x=6
x=3
x+30=3+30=33
So, the present age of son is 3 years and present age of the father is 33 years
Determine the period, amplitude, and phase shift of[tex]f(x)=3cos2\left \{ x-\frac{\pi }{4}]+1[/tex]
b) List the five critical points for the first cycle. (3 marks)
Use this information to sketch the graph off(x) for two
complete cycles. Determine [tex]\frac{1}{4}[/tex] wave and starting point.
Clearly label the scale on both axes. (3 marks)
->period = [tex]\frac{2\pi }{2} =\pi[/tex]
->a=3, shift [tex]\frac{\pi }{4}[/tex]
->right 1 unit up
Rest are shown in graph
If investments double every 9 years and you start with a $600 investment, how much money would you have after 27 years? First, complete the equation: Future Amount = 600 (1 + [?]) ↑ ↑ initial amount growth rate Hint: Doubling means a 100% growth rate. time periods Enter
Answer:
600(1+1)^3 with future amount being 4800
Step-by-step explanation:
The amount of the money after 27 years will be $4800.
What is the amount?The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-
Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?
We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3
Future amount = 600(1+1)³
Future amount = 600 ( 2 )³
Future amount = 600 ( 8 ) = $4800
Therefore the amount of the money after 27 years will be $4800.
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Odette made this jewelry box by combining two rectangular boxes.
What is the total surface area of this jewelry box?
PLS HURRY WILL GIVE BRAINLIEST
Lindsay sketches a right triangle with lengths f, g, and h as shown. She uses the Pythagorean Theorem to write the equation f2 + g2 = h2 to represent the triangle. How can Lindsay correct her error? Explain your reasoning.
Answer:
hope you can understand
If a rectangle’s perimeter is 86 units and the width is 15 units, what is the length in units?
Answer:
I think the answer would be 28
Find and label the measures of each of the three missing angles, A, B and C, below.
Lines I and M are parallel.
Hello, the detailed solution is given below.
Lines L and M are parallel. That's why [tex]B[/tex] angle and [tex]50^{o}[/tex] are equal.
What's the Co-Interior Rule? (Known as U Rule)Co-interior angles lie between two lines and on the same side of a transversal. If the two lines are parallel, then co-interior angles add to give [tex]180^{o}[/tex] and so are supplementary.
After that, [tex]C[/tex] angle found as [tex]85^o[/tex].
As [tex]A[/tex] angle and [tex]C[/tex] angle must be equal due to the parallel, the missing angles as;
[tex]A=85\\B=50\\C=85[/tex]
Good luck! If you have any questions, then feel free to ask in comments!
This line plot shows the estimated amount of glue needed for summer projects at a camp. eric chose to complete a project with the greatest estimated amount of glue needed. the actual amount of glue he used was 3/4 of the estimated amount. how much glue did eric use for his project? enter your answer in the box as a mixed number in simplest form.
The amount of glue that eric used for his project is [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]
How to interpret the line plot?The interpretation of the line plot involves a careful approach to how a series of data points are connected on coordinate planes.
From the Glue for summer project line plot:
The greatest estimated amount of glue needed can be seen at = 2 (1/4)The actual amount of glue needed = 3/4 of 2 (1/4)The amount of glue Eric used for the project is;
[tex]\mathbf{=\dfrac{3}{4}\times 2\dfrac{1}{4}}[/tex]
[tex]\mathbf{=\dfrac{3}{4}\times \dfrac{9}{4}}[/tex]
[tex]\mathbf{=\dfrac{27}{16}}[/tex]
[tex]\mathbf{= 1\dfrac{11}{16}}[/tex]
Therefore, we can conclude that the amount of glue used by Eric for this project is: [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]
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given m
m FS =
pls help me this is due tomorrow
Answer:
arc FS = 84°
Step-by-step explanation:
the inscribed angle QRF is half the measure of its intercepted arc QF , then
arc QF = 2 × 48° = 96°
the sum of the arcs on a semicircle = 180° , that is
QF + FS = 180°
96° + FS = 180° ( subtract 96° from both sides )
FS = 84°
What is the measure of angleq to the nearest whole degree? 43° 49° 53° 58°
Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°. The correct answer is option C.
The complete question is attached with the answer below.
How to calculate the measure of angle Q?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.
Side MN = 17 units.
Side QN = 20 units.
In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
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Think about the function f(x) = 3 - 2x.
What does the notation f(0) mean?
Answer:
the answer is 3
A basket contains six apples, three oranges, ten corn, four pears and six peaches, You randomly select a fruit. What is the conditional probability of selecting a fruit that it is a orange?
Select one:
a.
15.8%
b.
15%
c.
17.5%
d.
10.3%
Answer:
b. 15%
Step-by-step explanation:
because it is 3 oranges and 3 is equal to 15%
y=x^2+5x-8 to factored form
Answer:
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation: