The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled

Answer:

Step-by-step explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to  log2 1 - log2 4 = 0 - 2 = -2

Answer:

-2

Step-by-step explanation:

[tex]log_2(3)-log_2(12)[/tex]

~Simplify using log properties

[tex]log_2(\frac{3}{12})[/tex]

[tex]log_2(\frac{1}{4})[/tex]

~Apply log rules

[tex]-log_2(4)[/tex]

~Rewrite

[tex]-log_2(2^2)[/tex]

~Apply log rules

[tex]-2log_2(2)[/tex]

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

Answer:

Step-by-step explanation:

Step one:

given data

expected amount =$200

cash already at hand=$80

savings per week=$40

let the number of weeks be x

Step two:

the linear function for the situation is the same as the equation of a straight line

y=mx+c------1

200=4x+80

solve for x

200-80=40x

120=40x

divide both sides  by 4

x=120/40

x= 3 weeks

Chandler will save for 3 weeks

Answer:

can we have more info please?

Step-by-step explanation:

Answer:

x=5 I think

Step-by-step explanation:

just search it up online

Answer:

The equation to find the number did cupcakes bought in all =

= 3c + 7c

= c(3 + 7)

The total number Betty bought in all = 240 cupcakes.

Step-by-step explanation:

Let the amount of cupcakes in a package be represented by c

Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes.

The equation to find the number did cupcakes bought in all =

3 × c + 7 × c

= 3c + 7c

= c(3 + 7)

Each package contains 24 cupcakes

The total number = 3(24) + 7(24)

= 240 cupcakes.

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

Answer:

4.) 5.3333333....

Step-by-step explanation:

Rational numbers are either repeating decimals:

[tex]\frac{1}{3}= 0.333333333....[/tex]

Include terminating decimals:

[tex]\frac{1}{8}= 0.125[/tex]

Are all numbers that can be written as a quotient of integers:

[tex]\frac{a}{b},b\neq 0[/tex]

Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.

Option (4) has repeating decimals, so this is rational.

:Done

Answer:

6.25 colonies of bacteria per +pH change from 7 to 9

Step-by-step explanation:

It seems to go from 57.5 to 70 or maybe 57 or 58

Either way I will go with my guess of 57.5

Rate of Change= (70-57.5)/(9-7)=(12.5)/(2)=6.25 rate of change for colonies of bacteria per positive pH change from 7 to 9

Answer:

12

Step-by-step explanation:

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b

.

Slope: 12

y-intercept: (0,−2)

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

Answer:

80

Step-by-step explanation:

180-60=120

120-40=80

Answer:

117 i think

Step-by-step explanation:

because you need to find the distance from a to b which is 13 units

then you need to find the distance from b to c which is 9 units

and then 9 x 13 is 117

Answer:

the triangle means "change in". so triangle x means the change in the x values and triangle y means change in y values so yeah mental calculate the difference

Answer:

m                        

Step-by-step explanation:

                                              m

Answer:

There were 140 robberies in Springfield in 2012.

Step-by-step explanation:

Let's marked (named) robberies in 2012 with x, which is worth 100%

196 robberies in 2013 worth 100% + 40% = 140%

Now we will make proportion

x : 196 = 100 : 140

When we multiply external and internal members we get

140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140

x = 140 robberies in 2012

Here's your answer..........

Answer:

a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²

Step-by-step explanation:

a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have

P = 2(L + W)

100 = 2(L + x)

dividing both sides by 2, we have

100/2 = L + x

50 = L + x

making L subject of the formula, we have

L = 50 - x

Now, the are of a rectangle A = LW. Substituting the values of L and W, we have

A = LW

A = (50 - x)x

A = 50x - x²

b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.

So, dA/dx = d(50x - x²)/dx

dA/dx = d50x/dx - dx²/dx

dA/dx = 50 - 2x

dA/dx = 0 ⇒ 50 - 2x = 0

50 = 2x

dividing both sides by 2, we have

x = 50/2

x = 25

To find it this gives maximum value for A, we differentiate A twice.

d²A/dx² = d(50 - 2x)/dx

d²A/dx² = d50/dx - d2x/dx

d²A/dx² = -2

Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.

Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in

So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²

The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²

Answer:

x = 24

Step-by-step explanation:

3x-2(x-5)=14

remove the parentheses using distributive property

3x-2x-10=14

collect like terms

x-10=14

move constant to the right side and change the sign

x=14+10

calculate ( add the numbers together)

x = 24

Answer:

x = 60°

Step-by-step explanation:

Two parallel lines will have the same angle if another line intersects them. That means 2x+15° = 135°.

2x = 120°

x = 60°

Answer:

opposite number of -18

Answer:

the answer is 29

Step-by-step explanation:

Answer:

No real roots.

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

-3x² + 2x = 1

Step 2: Rewrite in Standard Form

Step 3: Define

a = -3

b = 2

c = -1

Step 4: Find roots

Here we see that we cannot take the square root of a negative number. We will get no real roots and only imaginary ones.

Answer:

[tex]2x^5+3x^2+3[/tex] is a trinomial having with:

Step-by-step explanation:

Considering the trinomial

[tex]2x^5+3x^2+3[/tex]

It is clear that '5' is the highest power of the 'x' variable. so, the polynomial has a degree of 5.

'3' is the constant term. The reason is that any term with no variable is called a 'constant' term. So, '3' is the constant term.

Therefore, [tex]2x^5+3x^2+3[/tex] is a trinomial having with:

These are complementary angles because from what this shows, they add up to 90 degrees. BTW Plz give brainliest, I need 5 to get to the next level.

Answer:

an = 7 + 5n

Step-by-step explanation:

First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.

We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.

Hence the answer an = 7 + 5n

Answer:

Step-by-step explanation:

Answer:

1. 24%

2. 30%

3. 30%

Step-by-step explanation:

1. 100%/25= 4%   4%*6=24%

2. 100%/50= 2% 2%*15=30%

3.  100%/40=2.5% 2.5%*12= 30%

Answer:

C

Step-by-step explanation:

I just took the quiz :D

May I have Brainiest???

Answer:

9 gallons

Step-by-step explanation:

2/46 = 0.04347826086 gallon per mile

0.04347826086 x 207 miles =

9 gallons