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2 years ago

E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.

Mathematics

1 answer:

Katen [24]2 years ago

6 0

Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126

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If the demand function for a commodity is given by the equation

Margarita [4]

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : $p^2 + 16q = 1400$

Supply function : $700 -p^2 + 10q = 0$

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : $p^2 + 16q = 1400$ --A

Supply function : $p^2-10q=700$ ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

$p^2-10q -p^2-16q=700-1400$

$-26q=-700$

$26q=700$

$q=\frac{700}{26}$

$q=26.92$

So, equilibrium quantity = 26.92

Substitute the value of q in A

$p^2 + 16(26.92) = 1400$

$p^2 + 430.72 = 1400$

$p^2 = 1400- 430.72$

$p^2 = 969.28$

$p = \sqrt{969.28}$

$p = 31.13$

So, equilibrium price is $31.13

7 0

3 years ago

NEED HELP ASAP WILL GIVE BRAINLIEST

saveliy_v [14]

Answer: x=-2 and y=-2

Step-by-step-explaination:

To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get

2(2x) +2(y) = 2(-6)

4x + 2y = -12

Next, subtract the second equation from the first to cancel out the y’s

4x + 2y =-12

-(-8x + 2y = -12)

————————

12x = -24

Solve

X = -24/12

X=-2

Plug x into the original equation to find y

2(-2) + y = -6

-4 + y = -6

Y = -6 +4

Y=-2

You can substitute x and y into the original equations to double check

3 0

3 years ago

The lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 6 inches and an un

liubo4ka [24]

Answer: 2.460

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

$ME=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 18

Level of confidence = 0.90

Significance level : $\alpha=1-0.90=0.1$

Using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{17,0.05}= 1.7396$

Standard deviation: $\sigma=\text{ 6 inches }$

Then, we have

$ME=( 1.7396)\dfrac{6}{\sqrt{18}}\approx2.460$

Hence, the margin of error (ME) of the confidence interval with a 90% confidence level = 2.460

5 0

2 years ago

The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone expl

RSB [31]

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

<h3>(1) Calculate how many times the bacteria divide in eleven hours</h3>

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

<h3>(2) Add the orginial size of bacteria into the equation</h3>

(This part is edited)

(orginial size)*2^number of divisions

10* $2^{33\\}$

=85899345920

7 0

2 years ago

you find an apartment on Craigslist that is advertised as having an area of 700 square feet. How big is the apartment in square

skelet666 [1.2K]

Answer:

x = 77.8 square yards

Step-by-step explanation:

Given the following data;

Area = 700 square feet

To find the area in square yards;

Conversion:

1 yard = 3 feet

1 square yard = 9 square feet

x square yard = 700 square feet

Cross-multiplying, we have;

700 = 9x

x = 700/9

x = 77.8 square yards

3 0

2 years ago