Kendra is starting a science experiment. She will grow salt crystals in a clear plastic box. The inside of Kendra's box is 9 inches long and 5 inches wide. Kendra pours salt water into the box to a height of 4 inches. What is the volume of salt water in the box?

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (2,2)

[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=2(2)+b\\2=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]2-4=4+b-4\\-2=b[/tex]

Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]

[tex]y=2x-2[/tex]

I hope this helps!

9

Step-by-step explanation:

1 = x^2 - 6x

Adding 9 to both sides, we get

1 + 9 = x^2 - 6x + 9

10 = (x - 3)^2

Note that the right hand side is now a perfect square.

Answer:

3=6

4=8

5=10

6=12

graph 1

Step-by-step explanation:

Answer:

[tex](a)\ f(8) = 200(1 + 3.1\%)^8[/tex]

(b) After 8 years, the savings account has $255.32

Step-by-step explanation:

Given

[tex]a = 200[/tex] ---- initial (i.e. when t = 0)

[tex]r =3.1\%[/tex]

[tex]t = 8[/tex]

Solving (a): Model the situation

For growth, an exponential function is represented as:

[tex]f(t) = a(1 + r)^t[/tex]

This gives:

[tex]f(8) = 200(1 + 3.1\%)^8[/tex]

Solving (b): The solution to (a)

We have:

[tex]f(8) = 200(1 + 3.1\%)^8[/tex]

Express percentage as decimal

[tex]f(8) = 200(1 + 0.031)^8[/tex]

[tex]f(8) = 200(1.031)^8[/tex]

[tex]f(8) = 200*1.2766[/tex]

[tex]f(8) = 255.32[/tex]

Answer:

767

Step-by-step explanation:

Answer:9 times 10 equal 90 $

Step-by-step explanation:

Answer:

5 marbles are black.

Step-by-step explanation:

7-2=5

Answer:

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Step-by-step explanation:

Answer:

500.82

Step-by-step explanation:

Answer: 500.82  mhm mhm yup

Answer:

5x

Step-by-step explanation:

Answer:

2x+3 is it simplified

Step-by-step explanation:

Answer:

B.) The interquartile range of the data is 2

Step-by-step explanation:

Answer:

yes it can be written as 'a/b'

Step-by-step explanation:

3.39 is 3 39/100 which, as an improper fraction, is 339/100

as long as a decimal terminates or repeats then it is rational

examples:

.333 repeating is rational

the symbol π does not terminate or repeat so it is considered to be irrational

Step-by-step explanation:

7a = 35

a = 35/7 = 5

do you wants to earn money on pàypal???

Answer:

5 < x

Step-by-step explanation:

24<5x-1

Add 1 to each side

24+1<5x-1+1

25 < 5x

Divide by 5

25/5 < 5x/5

5 < x

Answer:

X>5.

Step-by-step explanation:

First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.

Answer:

No

Step-by-step explanation:

For the calculation for triangle area is wrong

Answer:

If x, y increase at a constant rate, it is linear.

Step-by-step explanation:

Answer:

First blank - A)Total Number of Possible Outcomes

Second blank - B)Number of Winners

Step-by-step explanation:

The exact question is as follows :

We know that,

Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes

So,

P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes

As we have to predict the Number of winners of a game

So,

P(Number of winner) = Number of winners ÷ Total number of Contestants

∴ we get

P(event) = Number of favorable outcomes ÷ Total Number of Possible  Outcomes

             = Number of winners ÷ Total number of Contestants

Answer:

12.57

Step-by-step explanation:

The formula is

2 (pie) r

2(pie)2

which would equal 12.57

Answer:

you showed no graph dude

This is the graph btw.

A. low unemployment

I hope this answer helps you...

Answer:

58 degrees

Step-by-step explanation:

well we know that every angle in a tringle adds up to 180 degrees.

so we know that 64 + angle 1 + angle 2 = 180

180-64=116

and since they are congruent (same value as one another) you just divide 116 by 2 and boom!

116/2=58

both are 58 degrees

Answer:

9.82 inches²

Step-by-step explanation:

both areas are equally sized, so they are both half of the whole circle.

circle area : pi × r²

half of the circle area is therefore pi × r² / 2

the picture gives us the diameter of the circle, the radius is half of the diameter.

=> r = 5/2 = 2.5

=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong

Answer:

10

Step-by-step explanation:

every day he doubles the number of sold cars compared to the previous day.

so the sequence goes along the powers of 2 :

1

2

4

8

16

32

64

128

256

512

1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.

but - maybe we reached the total of 1000 cars already before that.

as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.

e.g. 8 = 4 + 2 + 1 + 1

64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1

therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.

so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.

It takes 11 days for the salesman to sell at least 1000 cars.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.

The inequality is : a(1-rⁿ)/(1-r) ≥ 1000

In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:

1(1-2ⁿ) ≥ 1000

1-2ⁿ ≥ 1000

2ⁿ ≤ 999

Now we can take the log base 2 of both sides

n ≤ log₂(999) +1

n ≤  9.97+1

n ≤ 11

As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.

Learn more about inequalities here:

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Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it means 5 minus 4x where x is the coefficient of x. Good luck.

Answer:

Step-by-step explanation:

multiply the ratio by 24/5 and you have

72/5 : 24

or

14.4:24

The rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.

Let's denote the rate of the passenger train as "P" and the rate of the freight train as "F". We are given that the passenger train's rate exceeds the freight train's rate by 15 miles per hour. Therefore, we can write the following equation:

P = F + 15

We are also given that the two trains start from points that are 300 miles apart and meet after 4 hours. We can use the formula distance = rate × time to set up two equations:

Distance covered by the passenger train: P × 4

Distance covered by the freight train: F × 4

Since they meet each other, the sum of their distances should add up to 300 miles:

P × 4 + F × 4 = 300

Substituting P = F + 15 into the equation, we can solve for F:

(F + 15) × 4 + F × 4 = 300

4F + 60 + 4F = 300

8F = 240

F = 30

Now that we have the rate of the freight train, we can substitute it back into the equation P = F + 15 to find the rate of the passenger train:

P = 30 + 15

P = 45

Therefore, the rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.

For such more questions Train Rates

https://brainly.com/question/28139363

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Answer:

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hope it helps..

have a great day!!