The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)

Using the given data, solve for the variation constant k.

Answer:

50

Step-by-step explanation:

Volume of rectangular pyramid=(l*w*h)/3, so 150/3=50

Answer:

V=1/3 * L *W *H

V= 1/3 *5* 3 *10

V=1/3 *150

V= 50 m2

Step-by-step explanation:

your answer

Answer:

4

Step-by-step explanation:

Answer:

[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]

[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]

answer will be 6x+5

⏩Option (D.)

When raising one power to another power multiply the two powers together:

(3y^3)^2 = 3y^(3 * 2) = 3y^6

Answer: 3y^6

The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]

Given data:

The expression [tex](3y^3)^2[/tex]  can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.

First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in  [tex]y^(3 * 2) = y^6[/tex].

Hence, [tex](3y^3)^2[/tex]  simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.

To learn more about exponential form, refer:

https://brainly.com/question/29337692

#SPJ3

1) Quotient of 43.5÷3 :-

→ 14.5

2) Quotient of 24.6÷5 :-

→ 4.92

IMAGE ATTACHED. PLEASE CHECK.

--------------★---------------

Answered by Benjemin ✍️

Answer:

x=36

Step-by-step explanation:

These angles added together equal 180 degrees

2x + 3x =180

5x = 180

x = 36

Answer:

x  = 36    

Step-by-step explanation:

2x and 3x are supplementary angles they both add up to 180 degree Therefore 2x + 3x = 180   5x = 180   180/5 = x      x  = 36    

Answer:

the answer is 9 b 3 1 5 ghhj

Answer:

Step-by-step explanation:

Volume of a cube =side³

                        [tex]=(\dfrac{1}{5}b^{3})^{3}\\\\\\=(\dfrac{1}{5})^{3}*b^{3*3}\\\\ = \dfrac{1}{125}b^{9}[/tex]

Answer: i think its y=2x+22

Step-by-step explanation:

It moved forward 4 yards, then back 10 yards:

4-10 = -6

It is now -6 yards from where it started.

It then moved 2 yards forward from there:

4-6 + 2 = -4

The ball finished -4 yards from the original location.

Answer:

ur a lightbulb head

Step-by-step explanation:

wnjrn jrnvef vjefvj efjvf vf vn fvfv fnv nf vnf vn fnv fn vnf vnf vnf nf nf vnf nf vn fnv nf vnf vnf vnf vnf vnf nv fnv nf vnf vnf vn fnv fnv nf vnv nf vnf vnf vnf vn

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

_________

[tex] \: [/tex]

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

Answer:

I think the second blank is 5 and the third blank is 2.

Input 1: Output 5

Input 5: Output 2

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

Answer:Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

Answer:

2

Step-by-step explanation:

We know 10 1/2 is basically 10.5 or 21/2

To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.

[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]

Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.

The max amount of scarves she can make is 2.

Answer:

41,120

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

Answer:

y = x-7

Step-by-step explanation:

because its y = x + c

not y = kx

kx means k times x

so x PLUS c is not k TIMES x

Answer:

d

Step-by-step explanation:

Answer:

362x4

This equals 1448

Step-by-step explanation:

Answer:

362

  x4

---------

Step-by-step explanation:

because we're using place value we need to line up the numbers, 4 below the 2 and so on.

Step-by-step explanation:

[tex]{\qquad{\rule{150pt}{1pt}}}[/tex]

Explaination

Using the t-distribution, it is found that since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.

The null hypothesis is:

[tex]H_0: \mu = 825000[/tex]

The alternative hypothesis is:

[tex]H_1: \mu < 825000[/tex]

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.

[tex]\mu[/tex] is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 780000, \mu = 825000, s = 49000, n = 12[/tex].

The value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{780000 - 825000}{\frac{49000}{\sqrt{12}}}[/tex]

[tex]t = -3.18[/tex]

The p-value of the test is found using a left-tailed test, as we are testing if the mean is less than a value, with t = -3.18 and 12 - 1 = 11 df.

Using a t-distribution calculator, it is of 0.0044.

Since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.

A similar problem is given at https://brainly.com/question/25369247

Answer: 8

Step-by-step explanation:

A really simple way to solve these problems is to think of g(whatever number) as the y coordinate on your graph. Therefore the question is basically asking you if x is 10, what is y. If we find 10 on the x axis, we can count up the y axis until we reach the line. So, the answer is 8

Yes you found it correct as per slope intercect form y=mx+b

Here

Slope=m=1/2

Y intercect=5

Now.

for g(10)

The coordinate is (10,8)

So

g(10)=8

Question: A Football Team Charges $30 Per Ticket And Averages 20,000 People Per Game. Each Person Spends An Average Of $8 On Concessions. For Every Drop Of $1 In Price, The Attendance Rises By 800 People. What Ticket Price Should The Team Charge To Maximize Total Revenue? Calculate The TR Max.

This problem has been solved!

See the answer

A football team charges $30 per ticket and averages 20,000 people per game. Each person spends an average of $8 on concessions. For every drop of $1 in price, the attendance rises by 800 people. What ticket price should the team charge to maximize total revenue? Calculate the TR max.

$50

Answer:

-3g + 4

Step-by-step explanation:

Answer:

Step-by-step explanation

(-2g-6)-\left(g-10\right)

(−2g−6)−(g−10)

Answer:

18/5

Step-by-step explanation: