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A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3

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how many 1/3 fraction unit cubes does it take to fill the prism?

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

x = -16

Step-by-step explanation:

[tex]7(x-5) =9x-3 \\7x -35 = 9x - 3\\3- 35 = 9x - 7x\\-32 = 2x\\x = \frac{-32}{2}\\\huge \red{\boxed{x = -16}}[/tex]

Answer:

x = -16

Step-by-step explanation:

We are presented with the equation 7( x - 5 ) = 9x - 3 and we are asked to find the value of x. The first thing to do with equations with brackets is expand them out to make solving the equation easier. Then you want to collect all the 'x' terms to one side and all the numerical values to the other so we can make solving the equation easier.

→ 7( x - 5 ) = 9x - 3

⇒ Expand out the brackets

→ 7x - 35 = 9x - 3

⇒ Minus 9x from both sides to collect the 'x' terms

→ -2x - 35 = -3

⇒ Add -35 to both sides to isolate -2x

→ -2x = 32

⇒ Divide both sides by -2 to isolate x

→ x = -16

Answer:

[tex] 2 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{1}{3} - ( - 5) = - \frac{(6 + 1)}{3} + 5 \\ \\ = - \frac{7}{3} + 5 \\ \\ = - \frac{7}{3} + \frac{15}{3} \\ \\ = \frac{ - 7 + 15}{3} \\ \\ = \frac{8}{3} \\ \\ = 2 \frac{2}{3} [/tex]

Answer:

1.3x-34=136

3x=136+34

3x=170

divide both side by 3

3x/3=170/3

x=56.7 answer

2.3x-34+34=136+34

3x+0=136+34

3x+0=170

3x=170-0

3x=170

divide both side by 3

3x/3=170/3

x=56.7 answer

3.3x=2612+912

3x=3524

divide both side by 3

3x/3=3524/3

x=1174.7 answer

4.3x=3512

divide both side by 3

3x/3=3512/3

x=1170.7 answer

5.(31)31x=3512(31)

31*31x=3512*31

961x=108872

divide both side by 961

961x/961=108872/961

x=113.2903 answer

6.x=10512

the question is still the answer.

Answer:

D) In step 5, he should have multiplied both sides by 1/3

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the area of a parallelogram is its base x height. in this case it will be 6 * 5 = 30

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The area of the parallelogram shaped tapestry is 30 feet².

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides, in which each parallel pair of sides have the same length.

As per the given data:

A tapestry is having a shape of a parallelogram, and we have to find out the area of the parallelogram using the dimensions given.

The base of the parallelogram tapestry (b) = 6 feet

The height of the parallelogram tapestry (h) = 5 feet

The area of a parallelogram is given by the formula:

Area = base × height

By putting the given values in the question:

Area of the tapestry = 6 × 5 feet²

= 30 feet²

Hence, the area of the parallelogram shaped tapestry is 30 feet².

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Answer:

Step-by-step explanation:

total marbles=11+4=15

plastic yellow marbles=4/2=2

P=(plastic marbles)/(total marbles)=2/15

Answer:

2/15

Step-by-step explanation:

11+4 = 15 marbles

Half of the yellow marbles are made of plastic = 2 plastic yellow marbles

P(yellow plastic marbles) = number of yellow plastic marbles / total

                                          =2/15

Answer:

c

Step-by-step explanation:

[tex]25\pi + (8*10\pi)+[(35*12)-25\pi]+(35*12)+ 2(15*12)+2(35*15)=\\25\pi +80\pi + (420-25\pi) + 420 + 360 + 1050=\\105\pi-25\pi + 840 +1410=\\80\pi+2250=\\2501.32741229[/tex]

Answer:

The answer is:

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

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Since, you already have the center and the radius, use them for the equation of a circle and it will be written as:

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

When putting the equation of a circle, the radius needs to be simplified by the exponent [tex]2[/tex]:

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

So, you have found the equation of circle.

Answer:

1 infinity

2 one

3 no

4 one

5 infinity

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

Based on the given information, we can form the following equations.

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

Where [tex]b[/tex] is the brush and [tex]s[/tex] is the sketchbook.

[tex]s=\frac{3}{4}p[/tex]

Where [tex]p[/tex] is paint set.

Now, the sum of all three items would give $1.50 of leftover.

[tex]p+b+s=35.25-1.50[/tex]

Replacing expressions, we have

[tex]p+\frac{1}{2}s+\frac{3}{4}p=30.75\\ \frac{7}{4}p +\frac{1}{2}(\frac{3}{4} p)=30.75\\\frac{7}{4}p+\frac{3}{8}p=30.75\\ \frac{56p+12p}{32}=30.75\\ 68p=984\\p=\frac{984}{68}=14.50[/tex]

Then, we use this value to find the other variables

[tex]s=\frac{3}{4}(14.50)=10.88[/tex]

[tex]b=\frac{1}{2}(10.88)=5.44[/tex]

Therefore, the brush cost $5.44, the sketchbook cost 10.88 and the paint set cost 14.50, approximately.

Answer: paint set costs $18

sketchbook costs $13.5

Brush costs $2.25

Step-by-step explanation:

Let x represent the cost of the paint set.

The sketchbook cost 3/4 the cost of the paint set. It means that the cost of the sketchbook is

3/4 × x = 3x/4

The brush was 1/6 as much as the sketchbook. It means that the cost of the brush is

1/6 × 3x/4 = 3x/24 = x/8

Audrina brought $35.25 to the art supply store. If Audrina had $1.50 leftover after buying these items, it means that the amount spent on the items is

35.25 - 1.5 = 33.75

Therefore,

x + 3x/4 + x/8 = 33.75

Multiplying through by 8, it becomes

8x + 6x + x = 270

15x = 270

x = 270/15

x = 18

The cost of the sketchbook is

(3 × 18)/4 = 13.5

The cost of the brush is

1/8 × 18 = 2.25

Answer:

Step-by-step explanation:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

But these things will change direction of the inequality: ...

Don't multiply or divide by a variable (unless you know it is always positive or always negative)

Answer:

Error: +3x should be -3x

x should equal 3

Step-by-step explanation:

In this problem, you have to pay attention how values are transferred from one side to the other. This includes paying attention t the signs.

In 3x + 4 = 8x - 11, you want to try an keep all the values positive

      3x   +   4   =   8x  -   11

    - 3x                - 3x

                  4   =   5x  -   11

                 +11               +11      <--This part of the equation was correct.

                  15  =  5x

                  /5       /5   <--This part of the equation should result in dividing by 5

                  3   =  x

Hope this helps!

Answer:

1.654

Step-by-step explanation:

Plugged in the calculator

Answer:

see below

Step-by-step explanation:

Monica earned twice as much as Samuel

m = 2*s

Divide each side by 2

1/2 m = 1/2 ( 2s)

1/2 m = s

If monica earned 56

1/2 (56) = s

28 =s

Answer:

Original: $733 million

Sequel: $860 million

Step-by-step explanation:

Let's say the original movie grossed x dollars. Since the sequel grossed 127 million more than that, we can write the expression x + 127 to represent the sequel.

Their total is 1593 million, so let's add them up:

x + (x + 127) = 1593

2x + 127 = 1593

2x = 1466

x = 1466/2 = 733

To find the sequel gross amount, add 127 to 733:

127 + 733 = 860

So, the original movie grossed $733 million, while the sequel grossed $860 million.

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Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

Answer:

a

Step-by-step explanation:

12sin(⅖pi x) + 10 = 16

sin(⅖pi x) = 6/12

⅖pi x = sin^-1(½)

⅖pi x = pi/6, pi - pi/6

⅖pi x = pi/6, 5pi/6

x = 5/12, 25/12

Answer:

b. x = -2

Step-by-step explanation:

x - 8 = -10

x = -10 + 8

x = -2

Answer:

4.8 hours

Step-by-step explanation:

First, divide the distance by time to get velocity.

S = D/T

S = 360/4

S = 90 mph

Then, subtract 15 from 90 to get the new speed.

90 - 15 = 75

Lastly divide the distance by the new speed to get time.

T = D/S

T = 360/75

T = 4.8

Therefore, it would take the car 4.8 hours to travel 360 miles at 75 miles per hour.

Answer:

240

Step-by-step explanation:

You must multiply 4 by 5, which will give you 20. Then multiply 20 by 12, which will give you the final result of 240.

Answer:

0.27

Step-by-step explanation:

To solve this problem, we will use Set Theory Approach to Probability.

Let U = the Sample Space which consists of all possible tests.

Of course U = {1,2,3 .... ,30}

So, no elements in that.

U = n = 30

Let Q = the event bearing a multiple of 4 No winning ticket, and,

R = the case that has the No. 19 winning ticket

∴

Q  = { 4,  8, 12 , 16 , 20, 24 , 28} ,  and

R  = {19} , so that

Q ∩ R  = ϕ

P(Q ∩R ) = 0

As, n(Q) = 7 , n(R) = 1  , we have,

P (Q) = [tex]\frac{n (A)}{n(U)}[/tex] = [tex]\frac{7}{30}[/tex],  and P (R) = [tex]\frac{1}{30\\}[/tex]

P (Q∪R) = P(Q ) + P(R) − P(A∩B) = [tex]\frac{7}{30}[/tex] +  [tex]\frac{1}{30\\}[/tex] − 0 = [tex]\frac{8\\}{30\\}[/tex]

≅ 0.27 .

Answer:

Step-by-step explanation:

Consider a utlity bill which shows a minimum initial cost plus variable costs dependent upon how many units are sold.

Then:  total cost ≥ (fixed cost) + (unit cost)(number of units sold)  

This involves the "equal to or greater than" concept.

The trip will take 3 days and 3 hours to complete.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Mr. Tram was planning his trip from Dallas, TX to Detroit, MI.

He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour.

That means, the total time,

= 1620/60

= 27 hours.

He is willing to drive up to 8 hours per day.

The trip will take 27/8 = 3 days and 3 hours.

Therefore, the trip will take 27/8 = 3 days and 3 hours.

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Answer:

25, 36, 49, 64, 81

Step-by-step explanation:

If a car travels at 40 km/hr for four hours, it will have covered 160 km. A line or line segment's length between two points along the line or line segment

Speed equals x distance over time, so to find distance, multiply the speed by the time.

For example, 40 km per hour times 4 hours equals 160 km after the 4 hour time period.

Then,

To put it another way,

40 × 4 = 160.

Hence, If a car travels at 40 km/hr for four hours, it will have covered 160 km.

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Answer:

x=7

y=-5

Step-by-step explanation:

that is the answer

Answer:

B.)    2 / 15

Step-by-step explanation:

: )

Answer:

1. Negative values of b would mean that y can fluctuate between a positive and negative answer depending on what is used for x. In simpler terms, if b < 0, y can be both less than and greater than 0. If b > 0, y can only be greater than 0. This means that only functions where b > 0 can be defined. You would not want to use negative values of b because the answer will not always be a natural number.

2. You cannot consider y = 1^x or y = 0^x to be exponential functions because, while they do utilize an exponent, they do not create exponential growth. 1 multiplied by itself, no matter how many times, will always result in 1. Similarly, 0 multiplied by itself will always result in 0. Therefore, no exponential growth is occurring in either of those equations. (I think this answer is more up to interpretation. I'm sure an argument can be made for those two equations to be considered exponential functions because they have exponents in them. The important thing to recognize here is that no growth occurs with either of them. Therefore, they are different from other "exponential functions").

Answer:

1. If you have a negative base and you try to take the square root of it you get an imaginary number.

2. To get the second point, raising 1 to x will always get you 1 and raising 0 to x will always get you 0.

Step-by-step explanation:

For example if you have the square root of -64, you get +8i and -8i since you're taking the square root. This means that there are no real roots. They're imaginary.

y = 1^x. if we chose the values: 1, 2, 3, 4 to be our x we will always end up with 1 as our answer. If you graph this, you will see a straight horizontal line at y = 1.

This is why it's not an exponential function. It doesn't behave the same way other exponential functions do. You can have a much better understanding if you use a graphing calculator to actually how it looks (try desmos online if you don't have a gc).

Now y = 0^x will also always result in an answer of 0. Take x as 1, 2, 3, 4. 0*0 = 0. 0 * 0 * 0 = 0. I think you get the point. Exponential functions show exponential growth while y = 1^x and y = 0^x are straight horizontal lines, not exponential functions.

Answer:

2.4

Step-by-step explanation:

Because it should be 2x your base

Answer:

1.2sqrt2 is ur answer

Step-by-step explanation:

Answer:

Its letter B.

Step-by-step explanation:

on edge 2021

The y-intercept of the quadratic function f(x) = (x-6)(x-2) is (0,12).

Given,

f(x) = (x-6)(x-2)

We need to find the y-intercept of this given function f(x).

The point at the y-axis where the function passes through is called the y-intercept.

We take x = 0 for finding y-intercept.

We have,

f(x) = (x-6)(x-2)

Let f(x) = y.

y = (x-6)(x-2)

Put x = 0 in y.

y = (0-6)(0-2)

y = -6 x -2 = 12.

The y-intercept is at 12 on the y-axis and we represent it as (0, 12).

Thus the y-intercept is (0,12).

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Answer:

D

Step-by-step explanation:

only solution C and D are linear function, and they are essentially straight lines. However, C have a x intercept of 5/2, so we rule out option C.