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NISA [10]
3 years ago
15

Plz help ASAP..........................

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
4 0

Answer:

2(13a-5)

Step-by-step explanation:

Allisa [31]3 years ago
3 0

Answer:

The answer to this question is 2(13a - 5).

Step-by-step explanation:

First, divide 26 by 2 and you get 13 (place it in the parenthesis along with the variable a). Next, divide -10 by 2 and you get -5. There you have it. Please rank Brainliest if this helps. Thank you!

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Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gall
dalvyx [7]

Answer: a) \frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1

b) The distance of two foci is 85.4 feet

c) Area = 3502.67 square feet

Step-by-step explanation: a) An ellipse has the equation in the form of:

\frac{x^{2} }{a^{2} }+\frac{y^{2} }{b^{2} } = 1, where a is the horizontal axis and b is the vertical axis.

For the Statuary Hall, a = \frac{97}{2} = 48.5 and b = \frac{46}{2} = 23, so the equation will be

\frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1.

b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:

a^{2} = b^{2} + c^{2}

c^{2} = a^{2} - b^{2}

c = \sqrt{48.5^{2} - 23^{2} }

c = 42.7

The distance is 2c, so 2·42.7 = 85.4 feet.

The two foci are 85.4 feet apart.

c)The area of an ellipse is given by:

A = a.b.π

A = 48.5 · 23 · 3.14

A = 3502.67 ft²

The area of the floor room is 3502.67ft².

3 0
3 years ago
Does anyone know how to do this
Scilla [17]

Answer:

7 {x}^{2}  + 28x - 35 = 0

7 {x}^{2}  + 35x - 7x - 35 = 0

7x(x + 5)  - 7(x + 5) = 0

(x + 5)(7x - 7) = 0

(x + 5)(x - 1)  = 0

3 0
3 years ago
Read 2 more answers
Add or subtract them in simplest form please help me as fast as possible
NARA [144]

Answer:

Okay so im seeing you need help okay I will tell you how to do number 21 as an example

Step-by-step explanation:

Look for a commen donominater of the 3/8 and 1/3 the denominater would be 24 so 8 times 3 and 3 times 3 so those would be 9/24 and 3/24 , do the 8 plus the ten and you get 18 so 18+ 9/24+3/24= 18 12/24, or 18 1/2

8 0
3 years ago
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet
brilliants [131]

Answer:

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the liquid diet yields a higher mean weight loss than the powder diet.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0

The significance level is 0.05.

The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.

The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.

The difference between sample means is Md=-3.

M_d=M_1-M_2=42-45=-3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04

The degrees of freedom for this test are:

df=n_1+n_2-1=49+36-2=83

This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.

6 0
2 years ago
Read 2 more answers
Based on the polynomial reminder theorem, what is the value of the function when x= -5
densk [106]

Answer:

-15

Step-by-step explanation:

Given is a polynomial in x

F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70

We have to find the remainder when the above polynomial is divided by x+5

Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R

Applying the above theorem we can say that value of the function when x =-5

= Remainder when f is divided by x+5

= F(-5)

Substitute the value of -5 in place of x

= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70

= 625-1500+750+60+70

= 5

Hence answer is 5

5 0
3 years ago
Read 2 more answers
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