She is serving hot coffee and cold coffee in two rectangular-shaped tanks, each with dimensions width 8.75 inches, length 8.75 inches, height 23 inches.
The hot coffee has a density of 5.8 oz/in3 and the cold coffee has a density of 3.5 oz/ in3

(A) What is the volume of the coffee in each tank?
Show all math work needed to complete this problem.

(B) What is the mass of the coffee in each the tank?
Show all math work needed to complete this problem.


(C) How many tanks can be placed on a table which can support a maximum weight of 800 lb?
Explain why or why not.
Show all math work needed to complete this problem.

Answer:

Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.

Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters of the interval are given as follows:

[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]

The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

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Answer:

$1.50

Step-by-step explanation:

you only need to do $3.00/2 = $1.50

Answer:

$1.50

Step-by-step explanation:

3 divided by 2 = 1.5

Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

The total volume of this building based on the volume of its two sections is 3808 cubic feet.

In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.

Note: This question is incomplete because the image is missing; here is the missing section.

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Answer:

=5a+7b

Step-by-step explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b

Answer:

Step-by-step explanation:

[tex]\boxed{\underline{\text{Distributive property}}}[/tex]

Given:

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

Note:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

Solutions:

Multiply by expand first.

[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]

[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]

Rewrite the equation problem down.

5a+10b-3b

Solve.

Subtract.

10b-3b=7b

[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

7.4 seconds

Step-by-step explanation:

878 = 16 t^2    divide both sides of the equation by 16

54.875 = t^2    take positive sq rt

7.4 seconds

The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

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Is the relationship between the step number and number of squares a quadratic function.

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

Answer:

A= 77/2 or 38.5 cm^2 and p= 29.5 cm

Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.

C. The cost of 6 show tickets is $30.

bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:

Factor x2+4x−45 using the AC method. (x+9) (x−5)

Step-by-step explanation: so B

The Answer is: A. 52/3

For closet

It's a rectangle

Volume

For rolls:-

Cylindrical body

Volume:-

Total rolls:-

Answer:

1372

Step-by-step explanation:

Rectangular closet dimensions:

Modelling the roll of toilet paper as a cylinder with dimensions:

If we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.

⇒ 36 in ÷ 5 in = 7.2 in

Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.

Now calculate how many toilet rolls we can stack on top of each other.

To do this, divide the height of the closet by the height of the toilet roll:

⇒ 108 in ÷ 3.75 in = 28.8

Therefore, we can stack 28 layers of 49 toilet rolls in the closet.

So the total number of toilet rolls = 28 × 49 = 1372

There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.

Answer:

[tex] \frac{b}{4} + 2 = - 1[/tex]

[tex] \frac{b}{4} = - 1 - 2[/tex]

[tex] \frac{b}{4 } = - 3[/tex]

[tex]b = - 3 \times 4[/tex]

[tex]b = - 12[/tex]

hope this helps you!!

The answer is -12

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  The equation b/4 +2 = -1

                                                   b=-12

Hence, The answer is -12

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Answer:

y = (-2/3)x + 4 or

3y = -2x + 12

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3

Equation of a line with slope m and y intercept c is given by

y = mx + c

substituting for m we get the equation y = (-2/3)x + c

Substituting the first point (6,0) we get

0 = (-2/3)(6) + c or -4 + c = 0 or c =4

Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get

3y = -2x + 12

Answer:

360 feet

ft = 120 • 3 = 360 feet

Answer:

Your choice of 360 is correct.

Step-by-step explanation:

3 feet = 1 yard

120 times 3 =

360

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The number in standard form is 632.058

The number is given as:

Six hundred thirty-one and fifty-eight thousandths

This means:

Six hundred thirty-one + fifty-eight thousandths

Express Six hundred thirty-one as 631

632  + fifty-eight thousandths

Express fifty-eight thousandths as 58/1000

632  + 58/1000

Express as decimal

632  + 0.058

Evaluate the sum

632.058

Hence, the number in standard form is 632.058

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According to a survey report in 2018, the percentage of Bolivians that are Catholics is about: A. 77%

The Bolivians are people from the country, Bolivia. The country Bolivia is described a predominantly Catholic country as a result of its relations between the Church and the state.

Based on a survey report in 2018, about 77% of Bolivians were said to be Catholics.

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Answer:

1. b- El trópico

2. A- 77%

Step-by-step explanation:

got a 100 and i jus took the test

The equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

The general equation for a circle of radius R and center (a, b) is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:

[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]

So the equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

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The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

The given parameters are:

Mean, μ = 89.46

Standard deviation, σ = 2.31

The z-score at x = 90 is calculated using

[tex]z = \frac{x - \mu}{\sigma}[/tex]

This gives

[tex]z = \frac{90 - 89.46}{2.31}\\[/tex]

Evaluate

z = 0.234

The probability is then calculated as:

P(x >90) = P(z > 0.234)

From z table of probabilities, we have:

P(x >90) = 0.41

Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

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Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

x + yi = (1 + i)⁴

then -4 + 4 = x

The value of two plums and a peanut, divided by a grape and a peanut is 11

The given parameters are:

Substitute Grape = 2  in Acorn + 3 grapes = 14

Acorn + 3 *2  = 14

Acorn + 6  = 14

Subtract 6 from both sides

Acorn  = 8

Substitute Acorn  = 8 in Acorn = 1/2 Plum

8 = 1/2 Plum

Multiply both sides by 2

Plum = 16

So, we have:

Peanut = 1

Grape = 2

Acorn  = 8

Plum = 16

The value of two plums and a peanut, divided by a grape and a peanut is:

(2 plums + peanut)/(grape + peanut)

This gives

(2 * 16 + 1)/(2+ 1)

Evaluate

11

Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11

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Answer:     x = 5, -5

Step-by-step explanation:

mark brainist

Answer:

(5, 18) and (-5, 38)

Step-by-step explanation:

Equating the values of the function f(x) :

Taking x = +5 :

Taking x = -5 :

The solutions are : (5, 18) and (-5, 38)

Answer:

290,905

Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.

Answer:

8

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8

Answer:

full question Grace is an hourly employee, and the line that models her total pay in dollars

as it relates to the number of hours she has worked has a slope of 45 and a y

intercept of 35. Which statement is true?

A. Grace's wage is $35 an hour, and it appears that she received a

signing bonus of $45.

B. Grace's wage is $35 an hour, but it appears that she received no

signing bonus.

C. Grace's wage is $45 an hour, and it appears that she received a

signing bonus of $35.

D. Grace's wage is $45 an hour, but it appears that she received no

signing bonus.

Step-by-step explanation:

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

Answer:

wow........mmm.................

Answer:

6x+4 C

Step-by-step explanation:

Because the y-axis is +4