Water runs from a hose into a bucket at a steady rate. The amount of water in the bucket for the time it is being filled is shown in the graph.

The point (12, 5) is on the graph. What do the coordinates tell you about the water in the bucket?

Your answer:

Answer:

18.96 / 12 = 1.58

1.58 = the cost of 1 rose

1.58 X 5 = $7.9

Answer:

12 roses/18.86

12/18.96=5

this proportion is incorrect since the other side just says 5 and it needs to be in fraction form and have a variable as the numerator/denominator.

12/18.96=5/x

cross multiply

12x=18.96*5

12x=94.8

/12 both sides

x=7.9

$7.90

The range of the function g(x) = x^2 - 2, when the domain is {-2, -1, 1, 3}, is C. {-7, -2, -1, 1}.

To find the range of the function g(x) = x^2 - 2, we need to substitute each value from the given domain into the function and observe the corresponding outputs.

For x = -2, g(-2) = (-2)^2 - 2 = 4 - 2 = 2.

For x = -1, g(-1) = (-1)^2 - 2 = 1 - 2 = -1.

For x = 1, g(1) = (1)^2 - 2 = 1 - 2 = -1.

For x = 3, g(3) = (3)^2 - 2 = 9 - 2 = 7.

Thus, when the domain is {-2, -1, 1, 3}, the corresponding range values are {-7, -2, -1, 1}. Therefore, the correct option is C. {-7, -2, -1, 1}.

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Step-by-step explanation:

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

3x    = 3/4 + 1/4 x

2  3/4 x = 3/ 4

x = 3/4 / ( 2 /3/4)  = .273      ( or  3/11)

Answer:

radius=11

Step-by-step explanation:

PQ=PS=PR for an inscribed circle. This is the radius.

PQ=-2y+15

PS=3y+5

since PS=PQ then 3y+5=-2y+15

reducing:

3y+2y+5=-2y+2y+15

5y+5=15

5y+5-5=15-5

5y=10

5y/5=10/5

y=2

substituting for y

PS=3y+5

PS=3(2)+5

PS=11

An example of a convergent series (exn) and a divergent series (eyn) such that the product series e(xn * yn) is convergent.

EXPLANATION:

Let's consider the following two series:

1. Convergent series (exn): xn = 1/n^2
2. Divergent series (eyn): yn = n

Now, let's analyze the product series e(xn * yn):

e(xn * yn) = (1/n^2) * n = 1/n

The product series e(xn * yn) is a harmonic series, which is a convergent series.

In this example, the convergent series (exn) is the series of 1/n^2, the divergent series (eyn) is the series of n, and their product series e(xn * yn) is the harmonic series (1/n), which is convergent.

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Therefore , the solution of the given problem of function comes out to be A(x) = 23.

The subject of mathematics includes quantities including their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a group of inputs, of which each has an associated output. A  variable association between inputs and outcomes in which each input leads to a single, distinct result is known as a function. Each function is given a region and a require a small space, or scope.

Here,

As a result, h(x) = x2-10x+21 A(x) =y/x =-1 x 10 A(x)=?

A(x) = y/x =h(x-g)-h(x)/g

=> g = Xmax - Xmin

=> g = 10-(-1)

=> g = 10+1

=> g = 11.

A(x) =(x-11)

² - 10*(x − 11) + 21 − (x² - 10x+21) /11

=> A(x)= x²- 22x+121-10x + 110 + 21 - x² + 10x -21/11

=>A(x) =231 - 22x /11

=>A(x)= 11 * (21-2x)/11

A(x) = 21-2x.

x = Xmin => A(x) = 21-2 (−1)

=>A(x) = 21+ 2

=>A(x) = 23

Therefore , the solution of the given problem of function comes out to be A(x) = 23.

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Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

Answer:

24 in

Step-by-step explanation:

I hope this helps!

Answer:

24

Step-by-step explanation:

lXw= area

Here are three different equations that relate C and B:

1. B = (2/7) * C

2. B/C = 2/5

3. 5C = 2B

1. B = (2/7) * C

Since the ratio of cocoa to cocoa butter is 5:2, we can write 5 + 2 = 7, which represents the total number of parts. Dividing 2 by 7, we get 2/7, which represents the fraction of cocoa butter in the mixture. To find the number of grams of cocoa butter needed for C grams of cocoa, we multiply C by 2/7.

2. B/C = 2/5

Dividing the number of grams of cocoa butter (B) by the number of grams of cocoa (C), we get the ratio of cocoa butter to cocoa, which is 2/5.

3. 5C = 2B

Since the ratio of cocoa to cocoa butter is 5:2, we can write the equation 5 * C = 2 * B, which represents the number of parts of cocoa to the number of parts of cocoa butter. Solving for B in terms of C, we get B = (2/5) * C.

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Answer:

Step-by-step explanation:

The values of the slope and y-intercept are  

m =- 8/3

and  b = − 11

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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The expression which describes the given phrase that the product of a number and the difference of the squares of the opposite of seven and four is 33x.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Let's consider that number is x.

Now, the opposite of 7 is -7 and the opposite of 4 is -4.

The difference between square of -7 and -4 is,

(-7)² - (-4)² = 49 - 16 = 33

The product of 33 and x is 33x.

Hence "The expression which describes the given phrase that the product of a number and the difference of the squares of the opposite of seven and four is 33x".

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400 liters of NO would be produced on a 100-mile trip.

What is an ideal gas equation?

PV = nRT is the equation for an ideal gas. In this equation, P stands for the ideal gas's pressure, V for the ideal gas' volume, n for the total amount of the ideal gas expressed in moles, R for the universal gas constant, and T for temperature.

Here, we have

molar mass of NO = (14+16) = 30 g/mole

then , 5 g NO = (5/30) =  0.167 moles

total production of NO in 100 miles trip = 100*0.167 = 16.67 moles

The ideal gas equation is

PV = nRT at NTP

pressure (P)  = 1 atm, temperature ( T)  = 293 K  (200c)

number of moles (n) = 16.67

then, we get

V = nRT/P

= 16.67*0.082*293/1

= 400 L

Hence, 400 liters of NO would be produced.

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a, 2a + 6

b,16y-8

c,24x-12

d,16y-8

e,15x+20

f,21x-35

g,28y+8

h,5a-5b

i,4a+4b

j,21x+7y

k,3x+6y

l, 18x+12

i hope you can give me brainliest, thanks!

Answer:

a) 2a+6  b) 16y-8  c) 24x-12  d) 16y-8  e) 15x+20  f) 21x-35  

g)28y+8 h)5a-5b  i) 4a+2b  j) 21x+7y  k) 3x+6y  l) 18x+12

Step-by-step explanation:

To multiply out brackets, you multiply the values within the bracket by the one outside one at a time.

For example, for the first one, you would do 2*a, which is 2a, then 2*3, which is 6. Since the 3 was positive, the answer would be 2a+6.

11 is the distance between given two numbers.

To find the distance between 7 and -4,

we need to find the absolute value of the difference between them:

|7 - (-4)| = |7 + 4| = |11| = 11

Therefore, the distance between 7 and -4 is 11.

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Answer:

B: -1/4

Step-by-step explanation:

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

C. reflection across the x-axis

Answer:

C

Step-by-step explanation:

This is a reflection across the x-axis because it is the same thing but reflected.

Hope this helps.

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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In this case, as the number of hours spent on television increases, the GPA decreases. This relationship is called a negative correlation.

The plot of data that demonstrates the relationship between the number of hours a person watches television and their GPA is an essential tool to understand the correlation between these two factors.

From the plot, we can see that as the number of hours of television increases, the GPA goes down. This relationship suggests that the more time a person spends watching television, the lower their academic performance tends to be.

It is crucial to note that this relationship is not a direct causation. The plot of data does not prove that watching television causes a decrease in GPA.

It merely shows that there is a correlation between these two factors. There may be other underlying factors that contribute to the lower GPA of people who watch more television, such as lack of study time or poor time management skills.

Therefore, it is essential to use caution when interpreting the plot of data and not make any hasty conclusions about the relationship between the number of hours a person watches television and their academic performance.

Still, the data provides valuable insights that can help individuals make informed decisions about how they manage their time and prioritize their activities .A plot of data illustrates the relationship between the number of hours a person watches television and their GPA.

In this case, as the number of hours spent on television increases, the GPA decreases. This relationship is called a negative correlation.

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The dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.

Since the cardboard envelope for a compact disc is a square with an area of 171.61 square centimeters, the area, A of the cardboard envelope = 171.61 cm².

Since the cardboard envelope is a square, its area is A = L² where L = length of side the cardboard envelope = dimension of cardboard envelope.

To find the dimensions of the cardboard envelope, we take the square-root of the area of the cardboard envelope.

Since A = L²

L = √A

substituting the value of A = 171.61 cm² into the equation, we have

L = √A

L = √(171.61 cm²)

L = 13.09 cm

L ≅ 13.1 cm

Since the length of side of the cardboard envelope is 13.1 cm and its is a square, both dimensions are equal. That is, its length and width are equal.

So, the length of the cardboard envelope is 13.1 cm and the width of the cardboard envelope is 13.1 cm

So, the dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.

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The volume of the cone with height of 9 inches and a diameter of 12 inches is approximately 339.3 cubic inches.

To find the volume of a cone, we need to use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.

Since the diameter of the cone is given as 12 inches, we can find the radius as half of the diameter, which is 6 inches. The height of the cone is given as 9 inches.

Now, we can substitute the values of r and h in the formula to get the volume as follows

V = (1/3)πr^2h

= (1/3)×3.14×6^2×9

= 339.12 cubic inches (rounded to the nearest tenth)

Therefore, the volume of the given cone is approximately 339.1 cubic inches.

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Answer:

Y(0, - 14 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \(\frac{1}{2}\) (x₁ + x₂ ), \(\frac{1}{2}\) (y₁ + y₂ ) ]

Use the midpoint formula and equate corresponding parts to the coordinates of the given midpoint

let Y = (x, y ), then

\(\frac{1}{2}\) (4 + x) = 2 ( multiply both sides by 2 )

4 + x = 4 ( subtract 4 from both sides )

x = 0

and

\(\frac{1}{2}\) (4 + y ) = - 5 ( multiply both sides by 2 )

4 + y = - 10 ( subtract 4 from both sides )

y = - 14

Thus

coordinates of Y = (0, - 14 )

Caroline's bill before tax and tip was $16.15. A sales tax of 6.5% was added, and Caroline tipped 18% on the amount after the sales tax.

To calculate the total cost of the meal, we need to add the sales tax and the tip to the bill amount. The sales tax is calculated by multiplying the bill amount by the tax rate of 6.5% (or 0.065). Therefore, the sales tax amount is $16.15 * 0.065 = $1.05.

After adding the sales tax, the subtotal of the bill becomes $16.15 + $1.05 = $17.20. Caroline then calculates the tip on the subtotal. The tip amount is found by multiplying the subtotal by the tip rate of 18% (or 0.18). The tip amount is $17.20 * 0.18 = $3.10.

The total cost of the meal, including the bill, tax, and tip, is $16.15 + $1.05 + $3.10 = $20.30.

To determine the percent by which the total cost exceeds the bill, we calculate the difference between the total cost and the bill, which is $20.30 - $16.15 = $4.15. Then we divide this difference by the bill amount and multiply by 100 to get the percentage: ($4.15 / $16.15) * 100 ≈ 25.68%.

Rounding to the nearest whole number, the total cost of the meal exceeds the bill by approximately 27%.

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a)

Values of the given angles  ∠A = 123°  , ∠B = 123° ,∠C = 57.

Given ,

One angle of the figure as 123°.

Now,

∠C and 123° form linear pair.

So,

∠C + 123° = 180°

∠C = 57°

Now,

∠C and ∠B are pairs of interior angles on same side of transversal, thus they are supplementary.

∠C + ∠B = 180°

Substitute the value of ∠C

53° + ∠B = 180°

∠B = 127°

Now,

∠B and ∠A are vertically opposite angles.

Thus,

∠B = ∠A

So,

∠A = 127° .

Hence,

∠A= 127°

∠B = 127°

∠C = 57°

b)

Values of ∠D = 98°, ∠E = 98°, ∠F = 98° .

Given one angle as 82°

Now,

∠F and 82° form linear pair.

So,

∠F + 82° = 180°

∠F = 98°

Now,

∠D and ∠F are corresponding angles. Thus,

∠D = ∠F

∠D = 98° .

Now,

∠D and ∠E are vertically opposite angles.

Thus,

∠D = ∠E

∠E = 98°.

Hence,

∠D = 98°

∠E = 98°

∠F = 98°

c)

Values of ∠G = 75° and ∠H = 75°

Given one angle as 75° .

∠H and 75° are corresponding angles. Thus,

∠H = 75°

Now,

∠H and ∠G are vertically opposite angles.

So,

∠G = 75° .

Hence,

∠G = 75°

∠H = 75°

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Answer:

1/3

Step-by-step explanation:

13/39 = 1/3

Answer:

It is 1/3

Step-by-step explanation:

because 13/39=1/3

Answer:

473

Step-by-step explanation:

typed into calculator.

Answer:

473

Step-by-step explanation:

first u divide 860 by 100

which equals to 8.6

next u multiply 8.6 by 55 to get 473

hope this helps!!

Start this problem off writing down the slope formula.

m = y2 - y1/x2 - x1

We take our second y minus our first y which in this case is 2 - -3

over our second x minus our first x which in this case is 6 - -2.

So 2 - -3 over 6 - -2 simplifies to 5/8.

So the slope of this line is 5/8.