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Leona [35]
3 years ago
7

Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

-18 < p < 22

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

-18 < p < 22

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

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∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?
iris [78.8K]

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

8 0
3 years ago
Read 2 more answers
What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate ca
Marysya12 [62]

Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.

<h3>What is the firm's quick ratio?</h3><h3 />

First, find the maximum amount of short-term funds that Nelson can raise?

Assuming this amount is x, we can find it with the current ratio formula:

Current ratio = Current assets / Current liabilities

2 = (1,260,000 + x) / ( 450,000 + x)

x = $360,000

The quick ratio would therefore be:

= ( New Current assets - New inventory) / New current liabilities

= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)

= 1.204

Find out more on quick ratio at brainly.com/question/13917900.

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2 years ago
PLEASE I NEED HELP!!!!!!!! BRAINLIEST AND POINTS!!!!!
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Step-by-step explanation:

{a }^{2}  +  {b }^{2}  \:  =  {c }^{2}  \\  {10}^{2}  +  {26}^{2}  =  {c}^{2}  \\ 100 \:  +  \: 676 \:  =  \:  {c}^{2}  \\ 776 \: =   {c}^{2}  \\  c \:  = 27.9

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3 years ago
The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

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