Ask question

Ask question

All categories

3 years ago

6

In the summer a large pool evaporates water at 15% per day. If the pool starts out with 25,700 gallons of water, which function

models the pool’s loss of water?

1 answer:

JulijaS [17]3 years ago

8 0

Answer:

$y=25,700(0.85)^{x}$

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

y ----> represent the pool’s loss of water

x ----> the number of days

a is the initial value

a=25,700 gal

b ----> is the base

r=15%=15/100=0.15

b=(1-r)=1-0.15=0.85

The function is equal to

$y=25,700(0.85)^{x}$

You might be interested in

Products produced by a machine has a 3% defective rate. What is the probability that the first defective occurs in the fifth ite

labwork [276]

Answer: The required probability is 0.1328.

Step-by-step explanation:

Since we have given that

n = 5

Probability of success = p = defective rate = 3% = 0.03

Probability of failure = q = 1-p = 1 - 0.03 = 0.97

So, we will use "Binomial distribution":

probability that the first defective occurs in the fifth item inspected would be

$P(X=1)=^5C_1(0.03)^1(0.097)^4\\\\P(X=1)=0.1328$

Hence, the required probability is 0.1328.

6 0

3 years ago

elise bought 5 boxes of cereal and 2 gallons of milk for a total cost of $31.24 each box of cereal cost $ 4.80 enter the cost in

vitfil [10]

Answer:

7.24

Step-by-step explanation:

Multiply 5 boxes of cereal by the cost of cereal

31.24 minus that number gives the answer

6 0

3 years ago

I need help with this if anyone can help

Fiesta28 [93]

Answer: $\Large\boxed{Fourth~Choice.~f(x)=2-i}$

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

<u>Given function expression</u>

$f(x)=x^3-2x^2$

<u>Given the requirement of the question</u>

To find the expression for f(i)

<u>Substitute values into the expression</u>

$f(x)=(i)^3-2(i)^2$

<u>Simplify the exponents</u>

$f(x)=(-i)-2(-1)$

<u>Expand the parenthesis</u>

$f(x)=-i-(-2)$

$\Large\boxed{f(x)=2-i}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Read 2 more answers

A campus has 55% male students. Suppose 30% of the male students pick basketball as their favorite sports compared to 20% for fe

krok68 [10]

This is question of probability finding using bayes theorem
It is used to calculate probability of two competing statements
now p(m) = .55
p(~m)= .45
now for basketball for male
p(b|m)=.30
and for female
p(b|~m)=.20
so by bayes theorem
p(m|b)=p(b|m)*p(m)/(p(b|m)*p(m)+p(b|~m)*p(~m))
so answer is E
(.55)(.30) / (.55)(.30) + (.45)(.20)

7 0

3 years ago

Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago