Why can you double the volume of a right prism by doubling either the height or the area of the base?

Answer:

150000000000

Step-by-step explanation:

1.5x10¹¹

= 150000000000

You can think about scientific notations by moving the position of the 'dot' 11 times to the right

Answer:

2,000 meters

Step-by-step explanation:

I multiplied 100 by 20.

Hope this helped

each minute, they swim 50 m.

20*50 = 1000

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

"It is a triangle having one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

Answer:

y = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-3y + 14 + y = 12

Step 2: Solve for y

Answer:

= 1

Step-by-step explanation:

-3y+y+14=12

-2y = 12-14

-2y= -2        divide both sides by -2

y= 1

Answer:

-6

Step-by-step explanation:

6x-9x=21-3

-3x=18

x=-6

Answer:

6^7

Step-by-step explanation:

6^8 x 6^-1

6^{8-1}

6^7

Answer:

1/3

i don't know laughing out loud

Answer:

d metamorphosis

Step-by-step explanation:

Answer:

it will be D i seen this before

Step-by-step explanation:

Answer:

a) The insurance should be of 84.6 months, that is, approximately 85 months.

b) 0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

c) The expected loss to the insurance company is of 2.18 million.

d) The company should expect to make a profit of $689,200.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months.

This means that [tex]\mu = 90, \sigma = 3.5[/tex]

A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?

The 100 - 94 = 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 90}{3.5}[/tex]

[tex]X - 90 = -1.555*3.5[/tex]

[tex]X = 84.6[/tex]

The insurance should be of 84.6 months, that is, approximately 85 months.

B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?

This is the pvalue of Z when X = 84. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z= \frac{84 - 90}{3.5}[/tex]

[tex]Z = -1.71[/tex]

[tex]Z = -1.71[/tex] has a pvalue of 0.0436

0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?

0.0436 probability of losing 50 million. So

0.0436*50 = 2.18

The expected loss to the insurance company is of 2.18 million.

D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?

1 - 0.0436 = 0.9564 probability of making 3 million.

0.0436 probability of losing 50 million

So

[tex]E = 0.9564*3 - 0.0436*50 = 0.6892[/tex]

The company should expect to make a profit of 0.6892 million, that is, $689,200.

Answer:

The is A) 91

Step-by-step explanation:

Answer:   1. 29/8

                2. 37.72

                3. 24

Step-by-step explanation:

1. x + 1 3/8 = 2 1/4

              x = 21/4 - 13/8

              x = 42/8 - 13/8           [set the denominator equal]

              x = 29/8

2. 13.27 = t - 24.45

Rewrite the function as t - 24.45 = 13.27

                                                   t  = 13.27 + 24.45

                                                   t  = 37.72              

3.  9 = 3/8 × y

Rewrite as 3/8 x y = 9

                            y = 9/ (3/8)

                            y = 9 x (8/3)

                            y = 24

Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

Answer:

61

Step-by-step explanation:

2w + 43 = ?, w = 9

Answer:

0.85

Step-by-step explanation:

3.4 / 4 = 0.85

Hope that helps!

Answer:

10% or 5%

Step-by-step explanation:

Answer:

540 feet

Step-by-step explanation:

[tex]\frac{36}{100} = \frac{x}{1500}[/tex]  Cross multipy

100x = 54000

54000/100 = 540

x = 540

Answer:

100

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

Answer:

[tex]3a + b = 14[/tex]

[tex]b = 4a[/tex]

Step-by-step explanation:

Key:

a = 3 point throws

b = Free throws

Total points = 14

Required

Determine the system of equations

[tex]Total\ points = 14[/tex] implies that:

[tex]3 * a + b = 14[/tex]

[tex]3a + b = 14[/tex]

4 times as many b as a implies that:

[tex]b = 4 * a[/tex]

[tex]b = 4a[/tex]

So, the system of equations are:

[tex]3a + b = 14[/tex]

[tex]b = 4a[/tex]

just here for the points :l

Answer:

x=2 and y=6

Step-by-step explanation:

Answer:

$82.50

Step-by-step explanation:

Answer:

Enter date and time information at "From:"

Select a month and a day. Enter a year.

The year entered must be a positive number. Not zero (0).

Enter hours and minutes. Select am or pm.

The hours entered must be a positive number between 1 and 12 or zero (0).

The minutes entered must be a positive number between 1 and 59 or zero (0).

Add or Subtract Line

Enter number of days, hours and minutes

Select "add" or "subtract"

If you type "ghblxz", in the year box the computer will print "0"

If you type "1.9e2", the computer will use "190" to calculate the answer.

If you select "February 31", the computer will print "Not a Day"

Click "Click to Calculate" button. The calculated date and time will appear.

NaN = not a number

To clear the entry boxes click "Reset

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:

[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)

[tex]s = 2\pi\cdot r[/tex] (2)

Where [tex]r[/tex] is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]

[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:

[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]

[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)

Where:

[tex]s[/tex] - Measure circumference, in centimeters.

[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.

If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:

[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Answer:

Jessie sold x DVD's for $6 each and then sold a board game for $15. Jessie made at least $69 in her sales.

She sold 9 DVD's.

Step-by-step explanation:

69 - 15 = 54

54/6 = 9