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2 years ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Mathematics

1 answer:

Tresset [83]2 years ago

7 0

5-x^2 would be your expression

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When Famke charges her phone, it gains 222 percentage points each minute. When Famke uses her phone, it loses 555 percentage poi

Charra [1.4K]

To answer this you can use a guess and check strategy.

Start with 5 minutes using it (25% lost) and 10 minutes charging (20% gained).

Try 7 minutes using it (35% lost) and 14 minutes charging (28%).

Next, 9 minutes (45%) and 18 minutes(36%).

10 minutes (50%) and 20 minutes (40%). This is the difference.

She used it for 10 minutes and charged it for 20 minutes.

6 0

2 years ago

Read 2 more answers

If the measure of angle ACB is 65 degrees, find the measure of angle BCD

jolli1 [7]

Answer:

the answer is 25

Step-by-step explanation:

you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

6 0

3 years ago

CAN SOMEONE PLEASEEEE HELP MEEE <br> (please graph it for me) <33

KengaRu [80]

We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).

We need to rotated 90° counterclockwise about the origin.

In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.

In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

A(2,2) --> A'(-2,2)

B(7,1) --> B'(-1,7)

C(8,-4) --> C'(4,8)

5 0

3 years ago

Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17

Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

$\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}$

It can be rewritten as

$\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}$ .... (1)

We know that,

$\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}$ ... (2)

Using (1) and (2) we get

$\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}$

Substitute total debt ratio=0.46 in the above equation.

$0.46=1-\dfrac{1}{\text{Equity multiplier}}$

$0.46-1=-\dfrac{1}{\text{Equity multiplier}}$

$-0.54=-\dfrac{1}{\text{Equity multiplier}}$

$\text{Equity multiplier}=-\dfrac{1}{-0.54}$

$\text{Equity multiplier}=1.85185185$

$\text{Equity multiplier}\approx 1.85$

Therefore, the correct option is D.

7 0

3 years ago

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago