Math XL for School Practice X
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8-9; MathXL for School: Practice & Problem Solving
Due 05/11/21
X8.9.PS-14
Question Help
2 cm
A glass bead has the shape of a rectangular prism with a smaller rectangular
prism removed. What is the volume of the glass that forms the bead?
2am
6cm
7 cm
6 cm
(The figure is not to scale)
The volume of the glass that forms the bead is cm3,

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Answers

Answer 1

Answer:

224 cm³

Step-by-step explanation:

Required volume is:

6*6*7 - 2*2*7 = 224 cm³

Related Questions

Every day, Eve runs 12 mile more than the day before. Which equation can be used to discover how many miles Eve runs on x days?

y=x+12y is equal to x plus 1 half

y=12xy is equal to 1 half x

y=5xy is equal to 5 x

y=5+xy is equal to 5 plus x

Answers

Answer:

B) y=1/2x

Step-by-step explanation:

y=1/2x

A parallelogram has two
adjacent angles that are
supplementary. One
angle is 55° less than the
other. What is the
measure of the smaller
angle?

Answers

Answer:

x + (x + 55) = 180

2x =125

The angle is 62.5 degrees

Double-Check

62.5 + (62.5 + 55) = 180

125 + 55 = 180

62.5 is the smaller angle

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

You are given 2 parallel lines on the coordinate plane. You are told to translate x + 3,y-2, rotate 180° clockwise about the origin, then reflect over the y-axis. After the transformations you will have what type of lines?

A Intersecting lines
B. The Same Line
C. Parallel Lines

Answers

Since matching angles are formed and the equal corners are congruent when a line joins two parallel lines, one of the choices isc=d.

Parallel lines are what?

Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.

Here,

Given :  vertical angles, A = d also represents a solution.

B+d=180 as a result of b+c=180 therefore

B+d=180 as a result of b+c=180 therefore Since a=d, c=d, and b+d=180, the answer is B,C,E.

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A real estate developer wishes to study the relationship between the size of home a client will purchase (in square feet) and other variables. Possible independent variables include the family income, family size, whether there is a senior adult parent living with the family (1 for yes, 0 for no), and the total years of education beyond high school for the husband and wife. The sample information is reported below.
Family Square Feet Income (000s) Family Size Senior Parent Education
1 2,240 60.8 2 0 4
2 2,380 68.4 2 1 6
3 3,640 104.5 3 0 7
4 3,360 89.3 4 1 0
5 3,080 72.2 4 0 2
6 2,940 114 3 1 10
7 4,480 125.4 6 0 6
8 2,520 83.6 3 0 8
9 4,200 133 5 0 2
10 2,800 95 3 0 6
Develop an appropriate multiple regression equation. Which independent variables would you include in the final regression equation? Use the stepwise method.

Answers

Answer:=Answer1 has the regression analysis with all 4 independent variables. Using the stepwise method, we toss the one with the largest non-significant p-value which is Senior Present. Then do another regression analysis with only 3 independent variables. Answer2 has this. From this analysis we can toss education (has the largest non-significant p-value) and do another analysis which is in Answer3. In this analysis we see that Income is not quite significant (p=.0586) at the 0.05 level so we can toss it and do an analysis with Family Size as the only independent variable. This result is given in Answer4. The final regression equation has Family Size as the only independent variable and it can stay in the regression equation because it is statistically significant (p=.0003). The prediction equation is given at the bottom of Answer4. This should answer your question. If not let me know.

Step-by-step explanation:

mrk me brainliest plz

Find perimeter
Simplify answer completely

Answers

Answer:

[tex]perimeter = 14 \frac{3}{4} + 4 \frac{1}{2} + 8 \frac{1}{2} + 10 \frac{2}{5} + 10 \frac{2}{5} + 12 \frac{4}{5} \\ = \frac{59}{4} + \frac{9}{2} + \frac{17}{2} + \frac{52}{5} + \frac{52}{5} + \frac{64}{5} \\ = 61 \frac{7}{20} \: units[/tex]

I need help with this, I need to simplify but I don't know how

Answers

Answer: solve the same variables

Step-by-step explanation:

1. 3y + 4.1

2. 4x +

3. 5x + 22½

4. 4y²

5. + 25

6. 0



Write an equation and solve for b using the diagram
below. YOU MUST WRITE THE EQUATION IN
ORDER TO GET CREDIT.
(3b + 18)°
93°

Answers

Step-by-step explanation:

hope this is right hehe.....

y=x-4 and y=4x+2 graph solution of the systems

Answers

Answer:

(-2,-6)

Step-by-step explanation:

we can solve this system of equations with the substitution method because y is already by itself.

since they are both equal to y, we can set both equations equal to each other.

4x+2=x-4

subtract 2 from both sides

4x=x-6

subtract x from both sides

3x=-6

divide both sides by 3

x = -2

now that we know x, we can plug this value into one of the original equations and solve for y.

y=-2-4

y=-6

so on a graph, these two equations will intersect at the point (-2,-6)

Use partial quotients to solve 5,140 ÷ 9 = ___.

Answers

The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.

What are partial quotients division?

Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.

Why do we use partial quotient division?

Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.

Now we solve

first 9 multiply with 500 so we get 4500. 5140-4500=640

then 9 multiply with 70 so we get 630. 640-630=10

then 9 multiply with 1 so we get 9.   10-9=1

Hence       500+70+1=571

And our remainder is 1.

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Write 1 6/7 as an improper fraction.

Answers

Answer:

13/7

Step-by-step explanation:

multiply the 7 x 1 then add 6. 13 would be the numerator.

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42. Let f be a function from the set A to the set B. Let S and T be subsets of A. Show that
a) f(S ∪ T)=f(S) ∪ f(T).
b) f(S ∩ T) ⊆ f(S) ∩ f(T).

Answers

Start with any random elements of sets and compute LHS and RHS individually.

a) The proof of f(S ∪ T) = f(S) ∪ f(T) is explained below.

b) The proof of f(S ∩ T) ⊆ f(S) ∩ f(T) is expliane dbelow.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Let, The set A = {1, 2, 3, 4, 5} and B = {2, 4, 5}.

Therefore, S = {1, 2, 3} and T = {1, 4, 5}.

Now, f(S ∪ T) = {1, 2, 3, 4, 5} and f(S) ∪ f(T) = {1, 2, 3} ∪ {1, 4, 5}.

Hence,  f(S ∪ T)=f(S) ∪ f(T).

Now, f(S ∩ T) = {1} and  f(S) ∩ f(T) =  {1, 2, 3} ∩ {1, 4, 5} = {1}.

Therefore,  f(S ∩ T) ⊆ f(S) ∩ f(T). (⊆ implies improper subset)

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Find the GCF of the list of terms.
3x^2,6x^6 and -12x^3

Answers

Answer:

3x²

Step-by-step explanation:

3x²

They would all reduce to 1, 2x^4, and -4x

Help pls pls help pls pls help

Answers

It's 8, it gave Y so pretty easy from there on

y = 4

y = 1/4 x + 2

______________

4 = 1/4 x + 2

4 - 2 = 1/4 x + 2 - 2

2 = 1/4 x

2 × 4 = 4 × ( 1/4 ) × x

x = 8

Thus the correctly answer is option D.

Simplify the following expression: -16 -8/2 + 25 ÷ 5 + 1

A. -18
B. 6
C. 10
D. -6

Answers

D. -6


Calculate -16-8/2+25/5+1

-24/2+5+1

Determine the sign

-12+5+1=-6

which of the following is the solution to the equation 3^X+9=81^X
a) x=-6
b)x=6
c)x=-3
d)x=3

Answers

9514 1404 393

Answer:

  d)  x = 3

Step-by-step explanation:

The given equation resolves to a quartic equation in (3^x). It has a solution near ...

  x = 0.541770946714

__

Perhaps you want the solution to ...

  3^(x+9) = 81^(x)

Rewriting in powers of 3, this is ...

  3^(x+9) = (3^4)^x = 3^(4x)

Taking logarithms base 3 gives ...

  x +9 = 4x

  9 = 3x . . . . . . subtract x

  3 = x . . . . . . . divide by 3 . . . . matches choice D

_____

Additional comment

The Order of Operations requires that exponential terms be evaluated before addition and subtraction. That means (3^x) must be evaluated before the sum (3^x) + 9. If you want the sum of x and 9 to be evaluated first, it must be in parentheses: 3^(x+9).

In typeset equations, the superscript font serves to group parts of the exponent. In plain text, a grouping symbol (parentheses) must be used.

150, 60, 24,...
Find the 9th term.

Answers

Arithmetic Sequences
Divided by 2.5
150, 60, 24, 9.6, 3.84, 1.536, 0.6144, .24576, 0.098304
The 9th term is 0.098304

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

Answers

Answer:

The slope of the line through these two points is 0.5, which means that for each hour moving a lawn, 0.5 more lands of area are mowed.

Step-by-step explanation:

Slope of a line:

Suppose we have two points in a line. The slope is the change in y divided by the change in x. It states how much y changes when x changes by 1.

In this question:

x: Time in hours to move a lawn.

y: Area of land.

Two of his points are (3, 1.5) and (5, 2.5).

Change in y: 2.5 - 1.5 = 1

Change in x: 5 - 3 = 2

Slope: 1/2 = 0.5

The slope of the line through these two points is 0.5, which means that for each hour moving a lawn, 0.5 more lands of area are mowed.

Based on past experience, the daily revenue, X, for a coffee shop in a city is a normally distributed random variable with a mean daily revenue of $900. The first co-owner of the shop feels that the shop is known throughout the city and as such they could reduce the amount of money spent on advertising without causing a decrease in the population mean daily revenue. The second co-owner is concerned that a reduction in advertising would in fact result in a decrease in the population mean daily revenue. To settle the issue, the first co-owner decides to decrease the advertising dollars for a period of time, during which she will select 64 days at random and compute the sample mean daily revenue. She will then perform a hypothesis test to determine if the sample mean daily revenue provides significant evidence to conclude that the population mean daily revenue is less than $900 when the advertising dollars are reduced. The first co-owner observes a sample mean daily revenue of $892.50 with a sample standard deviation of $24 when the advertising dollars have been reduced. What is the p-value for her test

Answers

Answer:

The p-value for her test is 0.0075.

Step-by-step explanation:

She will then perform a hypothesis test to determine if the sample mean daily revenue provides significant evidence to conclude that the population mean daily revenue is less than $900 when the advertising dollars are reduced.

At the null hypothesis, we test that the mean is less than 900, that is:

[tex]H_0: \mu = 900[/tex]

At the alternate hypothesis, we test that the mean is less than 900, that is:

[tex]H_a: \mu < 900[/tex]

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

900 is tested at the null hypothesis:

This means that [tex]\mu = 900[/tex]

Sample of 64 days. The first co-owner observes a sample mean daily revenue of $892.50 with a sample standard deviation of $24 when the advertising dollars have been reduced.

This means that [tex]n = 64, X= 892.50, s = 24[/tex]

Value of the test:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{892.50 - 900}{\frac{24}{\sqrt{64}}}[/tex]

[tex]t = -2.5[/tex]

What is the p-value for her test?

The pvalue of the test is the probability of a sample mean below 892.5, which is a left-tailed test for t = -2.5 with 64 - 1 = 63 degrees of freedom.

Using a calculator, the p-value for her test is 0.0075.

Answer this! I WILL GIVE BRAINLIEST TO PERSON WHO GIVES CORRECT ANSWER!!!!!!!!!

Answers

Answer:

An 18-month loan with a 4.75% annual simple interest rate

Step-by-step explanation:

have a good day/night

may i please have a branlliest

A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd row . How many seats are there in total? Show and explain all work.

Answers

Answer:

164 seats

Step-by-step explanation:

you make the equation 4+ 8X to deteremine the seats and x equals the rows and you get your answer.

An arithmetic sequence is a sequence where each consecutive term has a common constant difference. The total number of seats that the theatre has is 156 seats.

What is the sum of terms of an arithmetic sequence?

An arithmetic sequence is a sequence where each consecutive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

Let the starting term be 'a' and the common difference be 'd', then we get the arithmetic sequence as:

a, a+d, a+2d, .....

The sum of those 'n' terms is:

[tex]\rm a + (a+d) + (a+2d) + \cdots + (a+(n-1)d) = \dfrac{n}{2}[2a + (n-1)d ][/tex]

The condition is a case of an arithmetic progression. Therefore, the common difference in the progression is of 8 and the first term of the sequence is 4. Therefore, the sum of the series for the first 20 terms will be,

aₙ = 4 + (20-1)8

   = 4 + (19)8

   = 4 + 152

   = 156

Hence, the total number of seats that the theatre has is 156 seats.

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25 Points, will give brainliest


If a basketball has a diameter of 9.4 inches, which is closest to the volume of the ball in cubic inches?


A. 521.62 in

B. 434.89 in

Answers

Answer:

B. 434.89

Step-by-step explanation:

A basketball is a sphere and the volume formula is:

V = 4/3πr³

Given:

d = 9.4

r = 9.4/2

r = 4.7

Work:

V = 4/3πr³

V = 4/3π(4.7)³

V = 4/3π(103.823)

V = 434.89

Each statement describes a transformation of the graph of f(x)=3/x. which statement correctly describes the graph of y= f(x- 7) + 3?
A It is the graph of f translated 3 units up and 7 units to the left.
B. It is the graph of f translated 7 units down and 3 units to the right.
C It is the graph of f translated 7 units up and 3 units to the
right!
D. It is the graph of f translated 3 units up and 7 units to the right.

Answers

Answer is d hope this helped

Answer:

Pretty Sure its D!

Step-by-step explanation:

Answer please for brainliest

Answers

Answer:

the answer is 0.7 by the way!

Step-by-step explanation:

This is talking about the distance from zero sooo...

Get it right I need this bro

Answers

c because that with the that is that

evaluate - [tex]6^{2}- 2(5+1+3[/tex]

Answers

The expression 6² - 2(5 + 1 + 3) after evaluation gives 18.

What is BODMAS rule?

BODMAS rule is rule for operation of numbers in a specific order when more than one type of operations is involved.

BODMAS is the abbreviated form for Brackets, Order including powers and exponents, Division, Multiplication, Addition and Subtraction.

Given expression is, 6² - 2(5 + 1 + 3).

First we should do the operation in brackets.

6² - 2(5 + 1 + 3) = 6² - 2 (9)

Now we should do the power operations.

6² - 2 (9) = 36 - 2 × 9

Now we do multiplication.

36 - 2 × 9 = 36 - 18

Now we do subtraction.

36 - 18 = 18

Hence the answer of the expression given is 18.

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Chen tosses a number cube 19 fewer times than Jayden. Chen tosses a number cube 38 times. How many times does Jayden toss a number cube?

Answers

Jayden tosses it 57 times!

Please help me with this

Answers

9514 1404 393

Answer:

  3025

Step-by-step explanation:

We observe that increasing x by 1 from 0.5 to 1.5 causes the function value to be multiplied by 55 (from 1 to 55).

So, increasing the x-value by 1 again, from 1.5 to 2.5, will again multiply the function value by 55.

  f(2.5) = 55·f(1.5) = 55^2

  f(2.5) = 3025

A paint store makes lime green paint by mixing 3 parts yellow paint to 1 part blue paint. A clerk mixès 5 parts yellow paint to 2 parts blue paint. did the clerk use the correct ratio of yellow paint to blue paint? Explain.

Answers

Answer:

No

Step-by-step explanation:

The ratio used should have been 6 parts yellow paint to 2 parts blue paint

hope this helps

I think its either B or D but im not sure

Answers

Answer:

Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To determine the inverse of function f,
change f(x) to y, switch
and y,
and solve for
The resulting function can be written as
f(x) = (x - 3.

Answers

Answer:

To determine the inverse of function f, change f(x) to y, switch x and y, and solve for y.

[tex]\frac{1}{8} (x-4)^3[/tex]

Step-by-step explanation:

f(x) = [tex]\sqrt[3]{8x} +4[/tex]

Change f(x) to y: y = [tex]\sqrt[3]{8x} +4[/tex]

Switch x and y: x = [tex]\sqrt[3]{8y} +4[/tex]

Solving for y: x - 4 = [tex]\sqrt[3]{8y}[/tex]

(x-4)^3 = 8y

y = [tex]\frac{1}{8}[/tex][tex](x-4)^3[/tex]

Therefore: inverse of function f = [tex]\frac{1}{8} (x-4)^3[/tex]

The inverse function of f(x) will be f⁻¹(x) = 1/8(x - 4)³.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is given below.

f(x) = ∛(8x) + 4

Then the inverse function of f(x) will be

Put x = f⁻¹(x) and f(x) = x. Then we have

            x = ∛{8f⁻¹(x)} + 4

∛{8f⁻¹(x)} = x - 4

Cube on both sides, then we have

8f⁻¹(x) = (x - 4)³

 f⁻¹(x) = 1/8(x - 4)³

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