Find and explain how to find E please!

Please need help on this

Aleonysh [2.5K]

The answer is 1/3 is the answer.

4 0

2 years ago

The following functions give the populations of four towns with time tt in years.

expeople1 [14]

Solution :

Transforming given equations :

$1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t$

From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .

Hence, this is the required solution.

6 0

3 years ago

Read 2 more answers

Write the function a a product of linear factor by grouping or using the x method or a combination of both

Sladkaya [172]

<h3><u>Answer:</u></h3>

$\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}$

<h3><u>Step-by-step explanation:</u></h3>

Given function to us is :-

$\bf \implies g(x) = x^2 - 9$

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

$\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup$

I have also attached the graph of x²-9.

<h3><u>Hence </u><u>option</u><u> </u><u>A</u><u> </u><u>is</u><u> </u><u>corr</u><u>ect</u><u> </u><u>.</u></h3>

4 0

3 years ago

Express the equation in rectangular form<br> a) r = 2sin(2Θ)<br> b) r = 4cos(3Θ)

Dafna11 [192]

Answer:

a. sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b. (x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

Step-by-step explanation:

a) r = 2sin(2Θ)

r* = 2 sin 2 theta

We know sin 2theta = 2 sin theta cos theta

r = 2 * 2 sin theta cos theta

sin theta = y/r and cos theta = x/r

r = 4 y/r * x/r

r = 4xy / r^2

Multiply each side by r^2

r^3 = 4xy

r * r^2 = 4xy

We know r = sqrt(x^2+y^2) and r^2 = (x^2+y^2)

sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b) r = 4cos(3Θ)

we know that cos 3 theta = cos^3(theta) - 3 sin^2(theta) cos(theta)

r = 4 *cos^3(theta) - 3 sin^2(theta) cos(theta)

Factor out a cos theta

r = 4 *cos(theta){ cos^2 (theta) - 3 sin^2(theta) }

We know that sin theta = y/r and cos theta = x/r

r = 4 (x/r) { (x/r)^2 - 3 (y/r)^2}

r = 4 *(x/r) { (x^2/r^2 - 3 y^2/r^2}

Multiply by r

r^2 = 4x { (x^2/r^2 - 3 y^2/r^2}

Multiply by r^2

r^2 *r^2 = 4x { (x^2 - 3 y^2}

r^4 = 4x{ (x^2 - 3 y^2}

We know r^2 = (x^2+y^2)

(x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

5 0

2 years ago

If m∠9 ≅ 95°, find m∠14. answers: Question 5 options: 85° 95° 90° 88°

Andru [333]

Answer:

Option (1). 85°

Step-by-step explanation:

From the figure attached,

'l' and 'm' are the parallel lines and line 'n' is a transverse.

Since, m∠9 ≅ m∠13 [These angles are the corresponding angles]

Therefore, m∠13 = 95°

Since, m∠13 + m∠14 = 180° [Supplementary angles]

Therefore, 95° + m∠14 = 180°

m∠14 = 180° - 95°

m∠14 = 85°

Therefore, 85° will be the measure of angle 14.

Option (1) will be the answer.

7 0

3 years ago