The Hendrix family was draining their pool at the end of summer. They found that the water level goes down by 0.4 feet every hour. If the water level in the pool has changed by -1.4 feet, how long have they been draining the pool?

The graph which will represent the equation V=3t+9 is the red one in the following image:

Using ratio, the total number of peanut butter on the shelf is 144.

So, the ratio of creamy to crunchy peanut butter:

If there are 18 jars of crunchy peanut butter, the total number of peanut butter will be:

Total ⇒ 90 + 54 = 144

Therefore, using ratio, the total number of peanut butter on the shelf is 144.

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To calculate the value of x in the diagram below:

The perimeter of a a square =

Hence the value of x = 5ft

Answer:

$22.50

Step-by-step explanation:

The total cost = $90

The total lesson = 4

total cost ÷ total lesson

=$90÷4

=$22.50

Answer:

b what error Winston have made in height

Step-by-step explanation:

I guess we earn 4.5% of total sales.

100% = 238,000

1% = 100%/100 = 238000/100 = $2,380

4.5% = 1% × 4.5 = 2380×4.5 = $10,710

total earnings : base salary + commission =

= 76000 + 10710 = $86,710

Answer:

[tex]\frac{11}{2} ,-\frac{13}{2}[/tex]

Step-by-step explanation:

we know That l [tex]x[/tex] l = x when x > 0 and l x l = - x when x <0

for the given equation - 5|3 + 4k| = - 115

when 3 + 4k > 0 the equation becomes

-5(3+4k) = - 115

→ -5 · 3 - 5 · 4k = - 115

→- 20k = - 115 + 15 = - 110

→ k = -[tex]\frac{110}{-20}[/tex]  = [tex]\frac{11}{2}[/tex]

Again when 3 + 4k <0 the equation becomes

-5(-(3+ 4k )) = - 115

→15 + 20k = - 115

→ 20k = - 115 - 15

→ 20k = - 130

⇒ k = -[tex]\frac{130}{20}[/tex] = -[tex]\frac{13}{2}[/tex]

Answer:

32768

Step-by-step explanation:

8x8x8x8x8

Answer:8

Step-by-step explanation:

[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]. The root equation we got [tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex].

Given that,

[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]

We have to solve the roots equation.

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3×3. We refer to this as a square because there is a 2 exponent. When the exponent is now 1/2, the square root of the integer is being discussed.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolized by the character "[tex]\sqrt{.}[/tex]" The number underneath the square root symbol is referred to as the radicand, whereas the square root symbol itself is known as a radical.

[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]

[tex]\sqrt{64\times 5x}-\sqrt{25\times 5x}+\sqrt{100\times 2x}+3\sqrt{16\times 2x}+2\sqrt{25\times 2x}[/tex]

[tex]8\sqrt{5x}-5\sqrt{ 5x}+10\sqrt{2x}+3\times 4 \sqrt{2x}+2\times 5\sqrt{ 2x}[/tex]

[tex](8-5)\sqrt{ 5x}+10\sqrt{2x}+12 \sqrt{2x}+10\sqrt{ 2x}[/tex]

[tex]3\sqrt{ 5x}+(10+12+10)\sqrt{2x}[/tex]

[tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex]

Therefore, The root equation we got [tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex].

Complete question:  Find the root equation in [tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex].

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Answer:

n = 24 m

Step-by-step explanation:

n²   +   10² = 26²

n²    + 100 = 676

n²   =  576

n = 24 m

Answer:

The measure of angle BOC is 45°

Step-by-step explanation:

If you need to show your work tell me please!

Answer:

f(-1) = 3

Step-by-step explanation:

This line has function f(x) = 2x - 1, so

f(-1) = 3.

Answer:

f(-1) = 3

Step-by-step explanation:

See attached.  For some reason Brainly thinks my explanation has links or swear words.  It does not.  

The volume of the sphere that snugly fits into the cylinder of volume 432π cube units is 288 cube units.

It is given that

Therefore, from the image attached we can infer that

Let the radius of the cylinder and the sphere be r units

Let the height of the cylinder be h units.

Hence h = 2r units

We know that the volume of the Sphere is 4/3πr³

The volume of a cylinder is πr²h

= πr² X 2r

= 2πr³ units cube

According to the problem,

2πr³ = 432π

Multiplying L.H.S with 2/3 gives us

4/3πr³ = 2/3 X 432π

or, 4/3πr³ = 288π

or, the volume of the sphere is 288π cube units

288π cube units

Correct Question

A spherical ball fits snugly inside a cylindrical jar so that the ball touches the top and bottom of the jar and the sides of the jar. the volume of the cylinder is 432π what is the volume of the sphere?

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Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

In this case, our slope is undefined. We know this because the slope never changes in the x direction:

[tex]m=\frac{x}{0}[/tex]

Thus, we can only conclude that the equation is simply [tex]x=-2[/tex] since a y component is not possible.

The weighted mean for three exams is 78.1%.

The weighted mean is a form of mean that is computed by averaging all the products after multiplying the weight (or probability) connected to a specific event or result by its connected quantitative outcome. The difference between the weighted arithmetic mean and a regular arithmetic mean is that certain data points contribute more to the final average than others, as opposed to all data points contributing equally. In mathematics, the average value of the data is determined using the weighted mean. When calculating the weighted mean, the average value can be determined by giving various weights to some of the individual variables.

Given,

Weighted mean for student:

Weights = 155

∈x₁ w₁/∈w₁

121/155 × 100%

78.045%

78.1%

The weighted mean for three exams is 78.1%.

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Answer:

5

Step-by-step explanation:

The best package of beans to buy is 26 ounce costs $8.84

The first step is to find the unit rate for each packages

package a

6= 1.96

1= x

cross multiply both sides

6x= 1.96

x= 1.96/6

x= 0.326

package b

15= 4.80

1= x

cross multiply both sides

15x= 4.80

x= 4.80/15

x= 0.32

package c

26= 8.84

1= x

cross multiply both sides

26x= 8.84

x= 8.84/26

x= 0.34

Hence the best package that should be purchased is the 26 ounce package that costs $8.84

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The function rule for this scenario can be written in slope-intercept form as: y = 6x + 30.

A function rule can be written in slope-intercept form using the unit rate or slope (m), and the starting value/initial value or y-intercept (b). The values of m and b, when determined, are simply plugged into the equation, y = mx + b.

We are given that the design fee that is charged by the cloth designer is a fixed fee of $30. This means that the starting value or y-intercept (m) is 30.

From the problem, we are also given that the additional charge per shirt printed is $6, this also implies that the slope or unit rate (m) of the function is 6.

To write a function rule in slope-intercept form, substitute m = 6 and b = 30 into y = mx + b:

y = 6x + 30.

The function rule for the cost of t-shirt produced based on the number of shirts is expressed as: y = 6x + 30.

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Answer:

4.5 times 10^11

Step-by-step explanation:

From 450000000000 as the solution to 4.5 times 10^11

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

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Step-by-step explanation:

since the fee is $5.10 for each and every application, the result is simply taking the fee of one application 64 times.

that means multiplication.

so, the result is

64×5.10 = $326.40

If a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s, the magnitude of the velocity of the body V is 10

The given parameters are;

The velocity of the body relative to the horizontal axis, vₓ = 6 m/s

The velocity of the body relative to the vertical axis,  = 8 m/s

Required;

The measure of the magnitude of the velocity of the moving body, v

The velocity of the body can be represented vectorially as follows;

v = 6·i + 8·j

|V| = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]

|V| = [tex]\sqrt{6^{2} + 8^{2} }[/tex]

= [tex]\sqrt{64 + 36}[/tex]

= √100

|V| = 10

Therefore if a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s, the magnitude of the velocity of the body V is 10

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Answer:

always :)

Step-by-step explanation:

got it right

For the first values of x, the values of 1/x are given below:

For the second value of x, the values of 1/x are given below:

For the third value of 1/x, the values of x is given below:

In order to find 1/x, we would have to put the value of x as the denominator and 1 as the numerator.

For x= 2

The value of 1/x would be 1/2 = 0.50

For x= 1.2

The value of 1/x would be 1/1.2= 0.83

Follow the same sequence to get the other answers.

For 1/x= 0.2

The value of x would be 1/0.2= 5.0

This is because

For 1/x= 0.2,

You would cross multiply and then find the value of x

Apply the same method to the other values.

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Answer:

Step-by-step explanation:

As a decimal it is 0,98333........   (the 3 is recurring)

You can find the decimal forms of 3/12 and 2/9 by dividing the numerators of each of the fraction by its denominator.

The decimal form of 3/12 is 0.25.

The decimal form of 2/9 is 0.222.

The decimal form of 3/12 is a terminating decimal.

The decimal form of 2/9 is a repeating decimal.

The greater fraction is 3/12. This is because the hundredth value of 3/12 in decimal form is greater than that of 2/9.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A decimal is a number that is made up of integers and non-integers that are separated by a decimal point. The integers are before the decimal point. The non-integers are after the decimal point. In order to convert a fraction to a decimal, divide the numerator by the denominator.

3 / 12 = 0.25

2 / 9 = 0.22

A terminating decimal is a decimal that ends. A repeating decimal is a number that does not end. An example of a terminating decimal is 0.25, 0.1. An example of a repeating decimal is 0.33, 0.222.

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Answer:

Step-by-step explanation:

20% of £150= first 150/10=15=10%x2=20% or 30

15% of 80kg=first 80/10=8=10% 5%=half of 10% or 4 so answer is 12

85% of 2 500 m=first 85/10=8.5=10% then/2=4.25add to get 12.75