Function p gives the perimeter of an equilateral triangle of side length s. It is represented by the equation p(s)=3x

a. What does P(s)=60 mean in this situation?

b. Find a value of s to make the equation P(s) = 60 true.

Answers

Answer 1

Answer:

A) p(s) means that the perimeter of the triangle is 60 units.

B) A value to make the equation true is s = 20

Step-by-step explanation:

In the equation p(s) = 60, 60 represents the perimeter of the equilateral triangle.

To find a value of s that makes the equation p(s) = 60 true, plug in 60 as p(s) and solve for s.

p(s) = 3s

60 = 3s

20 = s

So, s = 20 will make the equation true


Related Questions

help!!!
Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal. Then explain its meaning.

Answers

Answer:

[tex]\frac{3}{8}[/tex] Or 0.375

Step-by-step explanation:

From the picture attached,

A circle is divided into 8 sections.

Out of which 3 sections have been shaded.

So the ratio of the shaded sections to the total number of sections will be,

3 : 8

Therefore, fraction representing the ratio will be = [tex]\frac{3}{8}[/tex]

And the decimal form of the fraction will be = 0.375

If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?

Answers

Answer:

Rounded to the nearest integer, there are 32 boxes of labels left.

Step-by-step explanation:

Since there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain, we can determine how many boxes of labels remain through the following mathematical operations:

3/4 = 0.75

100 = 125

25.75 = X

25.75 x 125/100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, there are 32 boxes of labels left.

Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. We take a simple random sample of 36 seniors and calculate the sample mean homework hours per week. If you discover that Northside High has only 200 seniors, which of your three answers would no longer be correct

Answers

umm 20-3x40=23 IM SO SORRY 23x-45+354

Suppose u and v are functions of x that are differentiable at x=0 and that u(0)= 7,u'(0)=-5,v(0)= -1, v'(0)= -4.
Find the values of the following derivatives at x=0.

Answers

This question is incomplete, the complete question is;

Suppose u and v are functions of x that are differentiable at x=0

and that { u(0) = 7, u'(0) = -5 }  { v(0)= -1, v'(0) = -4 }

Find the values of the following derivatives at x = 0.

a) [tex]\frac{d}{dx}[/tex]( uv )

b)  [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )

c)  [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )

Answer:

a) [tex]\frac{d}{dx}[/tex]( uv ) = -23  

b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )  = 33

c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531

Step-by-step explanation:

Given that;

{ u(0) = 7, u'(0) = -5 }  { v(0)= -1, v'(0) = -4 }

a)

[tex]\frac{d}{dx}[/tex]( uv )

we differentiate

[tex]\frac{d}{dx}[/tex]( uv )  = uv' + vu'

at x = (0), we substitute our values

[tex]\frac{d}{dx}[/tex]( uv ) = ( 7 × -4 ) + ( -1 × -5)

[tex]\frac{d}{dx}[/tex]( uv )  = -28 + 5

[tex]\frac{d}{dx}[/tex]( uv ) = -23  

b)

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )

we differentiate

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( vu' - uv' ) / v²

at x=0, we substitute our values

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = (( 5 - ( -28 )) / 1

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )  = 33 / 1

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )  = 33

c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )

we differentiate

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = ( uv' - vu' ) / u²

at x=0, we substitute our values

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = ( (7 × -4) - (-1 × -4) ) / (7)²

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - ( 4 ) ) / 49

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = ( -28 - 4 ) /49

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = -32 / 49

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531

A company claims that their new bottle holds 25% more laundry soap. If their original container held 42 fluid ounces of soap, how much does the new container hold?
The new container holds ___ fluid ounces.
HELP PLEASE. <3.

Answers

Answer:

52,5

It holds 10.5 more laundry soap

Two ways to look at this. Either way, we convert 25% to a decimal by dividing by 100, = 0.25

One way is to multiply 42 x 0.25 = 10.5. That tells us how many ounces are added. Then add 42 + 10.5 = 52.5 ounces

The other way is to multiply 42 x 1.25 = 52.5
In this equation, the 1 represents the original 42 oz, and the .25 represents the extra ounces.

Let me know if you have questions.

What is 5 divided by 5000

Answers

Answer:

.001 or 1000

Step-by-step explanation:

5 ÷ 5000 = .001 or 5000 ÷ 5 = 1000

.001 or 1000 is the answer

mark invested a certain amount at 5 % simple interest per year after 10 year he received an interest of 50000 how much did he invest​

Answers

Step-by-step explanation:

hope it helps u...........

Use substitution to solve the systems
y=5x
x+y=-6

x+2y=8
3x-4y=4

Answers

Your answers are:
1.(-1,-5)
2.(4,2)

The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110
cm
2
, what is the length of the diagonal?

Answers

Answer:

Use the formula of areal*b*h

ILL MARK AS BRAINLEST
Two more than eleven times a number is equal to 24. What is the number?

Answers

Answer:

Step-by-step explanation:

Im not all the way sure, but I think it would be 1.8.

11+2 = 13

24/ 13 = 1.84...

rounded, 1.8

Answer:

The answer is 2.

Step-by-step explanation:

11 × 2 = 22

22 + 2 = 24

Therefore, 2 is the answer.

Estimate the product by first rounding each number to the highest place value. 26.7 × 4.8​

Answers

Answer:

150

Step-by-step explanation:

26.7 round to 30

4.8 rounds to 5

30x5 = 150

Answer:

130

Step-by-step explanation:

you times 16.7*4.8 to get 128.16

you round to get 128.2

round again to get 128

round again to get 130

that is all you can round up

en la librería habían 680 libros para el comienzo de clase pidieron a la editorial 125 más Cuántos libros hay ahora en total para vender​

Answers

Answer:

Que? No se.

Step-by-step explanation:

Answer:

805

Step-by-step explanation:

We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied

was education level, which was recorded as 'illiterate," "primary," and "secondary." What type of

variable is education level in this example?

Answers

Answer:

Categorical data.

Step-by-step explanation:

Variables can be classified as:

Quantitative: If the variable assumes numeric values.

Categorical: If the variable assumes labels.

In this question:

'illiterate," "primary," and "secondary" are labels, which means that in this example, education level is an example of categorical data.

Education level is a type of categorical variable.

Statistics

A categorical variable is a quantity that has been measured on a nominal scale or on an ordinal scale, but whose values do not represent measurable quantities, so cannot be summed up into totals. The values that a categorical variable can take therefore only consist of names, whether or not the names of the categories to which the values belong.

Learn more about statistics in https://brainly.com/question/14781387

. Which of the following is equal to
ten thousand metres?
a 10km
b 100km
c 1000km
d 10000km
e none of the above​

Answers

Answer:

a 10 Km

Step-by-step explanation:

10 Km= 10×10³= 10000

3b +2f = 21.50 What is the Answer for B and F

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

b=7.1¯6−2f/3

Isolate the variable by dividing each side by factors that don't contain the variable.

f=10.75−3b/2

Step-by-step explanation:

There are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?

Answers

Answer:

12

Step-by-step explanation:

let x be the number of men

4:7 = x:21

4/7 = x/21

7x = 84

x = 12

x=?..................​

Answers

228-180=x=48

Step-by-step explanation:

since x is alternating with the 228- the angle and angles on a straight line is equal to 180 therefore x is 228 - 180 which is equal to 48

10
४|
x+3
4
7a) Enter ONLY the numerical value of your answer below. If there are more than
one value for x, enter another value under 7b below."
Your answer
7b) If there are more value for x, enter another value for x below. Click next to
skip this part if there's no other value for x.

Answers

martemat 20 e7 72gsys y3823 485 u

Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

How many terms are in this expression?
-1 - 8a²b?

Answers

Answer:

2 terms

Step-by-step explanation:

2

Hope this helps :)))))

Find the area of the area of the following figure please answer I’ll make Brainly

Answers

Answer: 91

Step-by-step explanation:

91
You take the width and length of the triangle, multiply them together, then divide by two. There’s you’re area for the triangle. Then you add that to the area of the rectangle, and you have your answer

A bottle holds 24 ounces of water. It has x ounces in it.

Answers

Answer:

a..x is what’s already in the bottle so 24-x= the number of ounces needed to fill the bottle

b.. 24-x= 12.....how many ounces is x

(don’t know if this question works)

Answer:

If a bottle holds 24 ounces of water, it has 24 ounces of water in it.

x=24

Step-by-step explanation:

Too complicated to explain.

Information on a packet of seeds claims that 93% of them will germinate. Of the 180 seeds that I planted, only 167 germinated. Compute a 95% two-sided Agresti-Coull CI on the proportion of seeds that germinate. Use as a point estimator p^ the proportion of seeds that germinated during the experiment. Round your answers to two decimal places (e.g. 98.76).

Answers

Answer:

The 95% CI on the proportion of seeds that germinate is (0.89, 0.9256).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 180 seeds that I planted, only 167 germinated.

This means that [tex]n = 180, \pi = \frac{167}{180} = 0.9278[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9278 - 1.96\sqrt{\frac{0.9278*0.0722}{180}} = 0.89[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9278 + 1.96\sqrt{\frac{0.9278*0.0722}{180}} = 0.9256[/tex]

The 95% CI on the proportion of seeds that germinate is (0.89, 0.9256).

-4-2-2) - 2x + 5 = 31

Answers

Answer:

2x+5=31 is the most common correct answer

Daniel invests £2200 into his bank account.
He receives 5% per year simple interest.
How much will Daniel have after 2 years?

Answers

Answer:

I = $ 220.00

Step-by-step explanation:

I = $ 220.00

Equation:

I = Prt

Solve:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 2200 × 0.05 × 2 = 220

I = $ 220.00

The simple interest accumulated

on a principal of $ 2,200.00

at a rate of 5% per year

for 2 years is $ 220.00.

Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $67.50 in interest how long did she leave the money in the account

Answers

Answer:

5.66 years

Step-by-step explanation:

450 x 1.025^(n) = 450 + 67.50

450 x 1.025^(n) = 517.50

1.025^(n) =(517.50 / 450)

1.025^(n) = 1.15

n = ln(1.15) / ln(1.025)

n = 5.66

Answer:meep

Step-by-step explanation:

meep

Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2

miles. Show that at least twice he had to be running at a rate of 11 miles per hour.

Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.

Calculus AB AP

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Time taken = 2 hours 18 minutes

18 / 60 = 0.3 hours

Hence, time taken = 2.3 hours

Speed = distance / time

Speed = 26.2 / 11.3 = 11.39 mi/hr

Hence, according to the mean value theorem ;

The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39

Since initial and final velocity is 0 ;

The runner attains a speed of 11 mi/hr between :

(0, 2.3) and (t, 2.3)

Mr. O. ran the Disney Marathon the AB AP is  (0, 2.3) and (t, 2.3).

Given Data: Time taken = 2 hours 18 minutes

        Time taken =18 / 60

        Time taken = 0.3 hours

Hence,

time taken = 2.3 hours

 Speed = distance / time

          Speed = 26.2 / 11.3

          Speed = 11.39 mi/hr

According to the mean value theorem ;

The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39 Since initial and final velocity is 0 ;

The runner attains a speed of 11 mi/hr between : (0, 2.3) and (t, 2.3)

Thus, the AB and AP is (0, 2.3) and (t, 2.3)

Learn more :

https://brainly.com/question/10410395?referrer=searchResults

What happened after old king Cole ordered that chopped cabbage must be mixed with mayonnaise?

Answers

Answer: THIS BECAME KNOWN AS COLES LAW

Step-by-step explanation:

please help me please i really need help please

Answers

I’m pretty sure it’s a.

Answer:

I think it would be all of the above

Step-by-step explanation:

:)))

Sovle: 10 -2x = -30
Please use subsitution
Show your steps to solve the equation

Answers

10 - 2x = -30
-2x = -40
2x = 40
x = 20

answer: x=20

10-2x=-40

-10. -10

-2x=-40

-2x/-2=-40/-2

x=20

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