A prism is filled with 3 layers of cubes. Each layer has 25 cubes. The volume of each cube is 1 cubic inch. What is the volume of the prism?

Answer: x= 23/30

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] = [tex]\frac{10}{2}x -3[/tex]    reduce 10/2 to 5 because 10/2  is 5.

5/6 = 5x -3

+ 3         +3

23/6 = 5x   divide both sides by 5.

x= 23/30

Answer:

1085 nuts per day x 17 days = 18,445 nuts in 17 days

Step-by-step explanation:

Answer:

D. It would be less steep

Step-by-step explanation:

The first graph moves at a rate of 5/1 which is a greater fraction than 3/4

Answer:

0

Step-by-step explanation:

No one is there which satisfies the condition

Answer:

0 or 0/9 of the club members

Step-by-step explanation:

The only part of the data of members that have logged more than 1 1/5 but less than 1 3/5 hours is the members that logged 1 2/5 hours. There are no members that have logged 1 2/5 hours so our answer is 0 or 0/9.

Answer: 3 people, 2 people, 4 people, 6 people, 2 people, 3 people, 3 people

Step-by-step explanation:

3 given numbers within 30-39

32, 35, 38

2 given numbers within 40-49

45, 48

4 given numbers within 50-59

51, 52, 54, 59

6 given numbers within 60-69

60, 61, 65, 65, 66, 69

2 given numbers within 70-79

77, 78

3 given numbers within 80-89

83, 83, 84

3 given numbers within 90-99

95, 96, 98

Answer: see Frequency below

Step-by-step explanation:

This is a frequency table.  How many times does a number appear in the data set that falls within the given interval?

Interval             Data                          Frequency

30-39:         35, 38, 32                              3

40-49:         48, 45                                     2

50-59:         59, 51, 52, 54                         4

60-69:         61, 60, 66, 65, 65, 69            6

70-79:          77, 78                                      2

80-89:          83, 84, 83                               3

90-99:          98, 96, 95                               3

Check the total to make sure you included each number from the data set.

Total numbers in the data set = 23, Total Frequency = 23  [tex]\checkmark[/tex]

Answer:

subtract  -3

Step-by-step explanation:

–3 + 4x = 9

Add 3 to each side

This is the same as subtracting -3

-3 + 4x - (-3) = 9 - (-3)

4x = 9 +3

4x = 12

Answer:

1.dotted, because it is not less than or equal to, but just less than.

2.below, because Y is less than the equation.

3. 0, -6

Step-by-step explanation:

// have a great day //

Answer:  [tex]\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}[/tex]

Step-by-step explanation:

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

[tex]P(B|A)=\dfrac{P(B\cap A)}{P(A)}[/tex]

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

          (2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

          (3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

                    (4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

                              (5, 4), (5, 3), (5, 2), (5, 1)

                                        (6, 3), (6, 2), (6, 1)

       = 30

P(B) = (1, 2), (2, 1)                                   sum = 3

          (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)    sum = 6

          (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)  sum = 9

          (6, 6)                                           sum = 12

      = 12

P(A ∩ B) =  (1, 2), (2, 1)

                  (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

                  (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

             = 11

Answer:

16

Step-by-step explanation:

There are three possible equations: the first is used for inputs (x-values) in between negative infinity and -7, the second for inputs in between -7 and 2, and the third for inputs in between 2 and infinity. 7 is in between 2 and infinity so the third equation is applicable.

[tex]g(x)=(x+1)(x-5)[/tex]

[tex]g(7)=(7+1)(7-5)[/tex] Plug in the values

[tex]g(7)=(8)(2)[/tex] Simplify

[tex]g(7)=16[/tex]

Answer:

the answer is 1/2,a0

Step-by-step explanation:

Answer: Length: 4, width: 6

Step-by-step explanation:

Let the length be x and width be y

Then x=2y-8 and xy=24

Substitute to get 2y-8 * y = 24, so 2y^2-8y=24 or y^2-4y=12, then solve to get y=6 or y=-2. Since width is positive y=6.

Substitute y=6 into xy=24 to get x=4.

Length: 4, width: 6

Hope that helped,

-sirswagger21

Answer:

2 and -8

Step-by-step explanation:

[tex]x^2+6x-6=10 \\\\x^2+6x-16=0 \\\\(x+8)(x-2)=0 \\\\x=2, -8[/tex]

Hope this helps!

Step-by-step explanation:

p = x / n

p = 550 / 1083

p = 0.5078

Answer:

Velocity = 59 feet/second

Step-by-step explanation:

h(t) = 15 + 60t – 16t2

Time t = 1 second

Let's substitute time into the equation to get the distance

h(t) = 15+60(1)-16(1)²

h(t) = 15 + 60 - 16

h(t) = 59 feet

Speed or velocity = distance/time

Distance = 59 feet

Time = 1 second

Velocity = 59/1

Velocity = 59 feet/s

Answer:

Option d

Step-by-step explanation:

The p-value is 0.0516 which is not statistically significant to reject the null hypothesis. Thus we will fail to reject the null hypothesis.

Answer: B

Step-by-step explanation:

Answer:

g(x)= 2/5

Step-by-step explanation:

g(xl=f(4x-2)+1

5×-2

5x/5

x=2/5

Answer:

X^4

------

 4

Step-by-step explanation:

The simplified expression is 1/4x²  

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x²-5x+11

Given here, the expression is (20x⁻³ / 10x⁻¹)⁻² =2⁻²× x⁻²

                                                                             = 1/4x²

Hence, the simplified expression is  1/4x²

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Answer:

342 square meters

Step-by-step explanation:

Consider the length of j;

[tex]j * 9 * 9 = 405,\\j = 405 / 81,\\j = 5 meters[/tex]

Applying the volume of a rectangular prism formula length * width * height = volume, we noted that 9, 9, and j corresponded to the length, width, and height of the rectangular prism and made it equivalent to the volume. Doing so, we solved for j. Now let us solve for the surface area;

[tex]Area of 1st Face = 5 * 9 = 45,\\Area of 2nd Face = 9 * 9 = 81,\\Area of 3rd Face = 5 * 9 = 45,\\\\Surface Area = 2 * ( 45 ) + 2 * ( 81 ) + 2 * ( 45 ) = 342 square meters[/tex]

Opposite faces are equal in terms of their area, so by finding the area of 3 faces, we multiply their area each by 2 to result in the total surface area!

Answer:

(3/2,-3/2)

Step-by-step explanation:

The midpoint of (2,-1)(1,-2) is (3/2,-3/2)

Answer:

(1.5,-1.5)

You have to remember the formula to find mid-point and that is:

[tex]midpoint = ( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

A.

Step-by-step explanation:

So first you need to find the slope:

[tex]\frac{-2-6}{3+2} =-\frac{8}{5}[/tex]

Since it's point slope, you have to use a point:

It's either:

[tex](y - 6)=-\frac{8}{5}(x+2)[/tex]

or

[tex](y+2)=-\frac{8}{5}(x-3)[/tex]

Check which answer has those:

A.

The solution is Option A.

The equation of line is y - 6 = ( -8/5 ) ( x + 2 ) where the slope is -8/5

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -2 , 6 )

Let the second point be Q ( 3 , -2 )

The slope of the line between the point is given by m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 6 - ( - 2 ) ) / ( -2 - 3 )

On simplifying the equation , we get

Slope m = ( 8 / -5 ) = -8/5

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 6 = ( -8/5 ) ( x - ( -2 ) )

On simplifying the equation , we get

y - 6 = ( -8/5 ) ( x + 2 )

Hence , the equation of line is y - 6 = ( -8/5 ) ( x + 2 )

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Answer:

I assume Josh and Peyton are his friends and both gave him advice on what to do with half of the money from the big lottery win.

Let's say Josh said "save it or invest it for your retirement" and Peyton said "use it to keep playing the lottery.

We will now look at the sense in each piece of advice!

Step-by-step explanation:

JOSH

By investing the $250,000 (half of the money won), Patrick will be sure that the money is available for him anytime and would even have gotten interest, by the time he's ready to use it.

PEYTON

By playing the lottery continuously, Patrick could get lucky once in a while and win big again. How big though?

Analyzing with the figures given,

$20 gets Patrick a lottery ticket.

$250,000 will get him 12,500 lottery tickets!

Whether he's buying the tickets at once or he'll play the lottery once in a while, I'll say he has good chances of winning big again.

So if the probability of winning big after purchasing up to 12,500 tickets is close to 1, Patrick should play the lottery with the $250,000

If the probability of winning big after purchasing 12,500 lottery tickets is close to 0 (closer to 0 than it is to 1) then Patrick should invest the $250,000 in retirement.

Answer:

0.83

0.63

Step-by-step explanation:

P(V or W) = P(V) + P(W) − P(V and W)

P(V or W) = 0.47 + 0.37 − 0.01

P(V or W) = 0.83

P(not W) = 1 − P(W)

P(not W) = 1 − 0.37

P(not W) = 0.63

a. the probability that the computer contains either a virus or a worm or both is 0.83

b. The probability that the computer does not contain a worm is 0.63.

(a)

The probability is

P(V or W) = P(V) + P(W) − P(V and W)

P(V or W) = 0.47 + 0.37 − 0.01

P(V or W) = 0.83

(b) The probability is

P(not W) = 1 − P(W)

P(not W) = 1 − 0.37

P(not W) = 0.63

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Answer:

  84°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠A = 180° -96°

  ∠A = 84°

Answer:

(4+4)/2 = 4

Hope this helps

Answer:

4

Step-by-step explanation:

1,2,2,4,4,6,6,7

The median is the number in the middle however there are an even amount of numbers so you get the number between 4 and 4 which is just 4

Answer:

D. 1, 1/2, 1/4, 1/8, ...

Step-by-step explanation:

Only one of the listed is a geometric sequence:

Answer:

[tex]\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659[/tex] and [tex]\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661[/tex]

Step-by-step explanation:

The equation of the isotope decay is:

[tex]\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }[/tex]

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

[tex]\tau = \frac{5568\,years}{\ln 2}[/tex]

[tex]\tau \approx 8032.926\,years[/tex]

The decay time is:

[tex]t = 1315\,years + 2007\,years \pm 13\,years[/tex] (There is no a year 0 in chronology).

[tex]t = 3335 \pm 13\,years[/tex]

Lastly, the relative amount is estimated by direct substitution:

[tex]\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661[/tex]

where is m?

if it was asking for angle A the answer would be D.

Answer:

D. 70

Step-by-step explanation:

because the D side is the same line as A and the D side is also 70

Answer:

19 marbles in each bag 28 left over

Step-by-step explanation:

the first step to this problem is to find out the number of marbles in each bag.

if there were 731 marbles and 37 bags, we need to divide 731 by 37.

731/37 = 19[tex]\frac{28}{37}[/tex]

therefore there are 19 marbles in each bag.

the second part of the question is to determine how many are left out or in other words how many numbers are "left over"

since the fraction is 28/37 there are 28 marbles that are left out of the bag.

feel free to ask questions, hope this helped you!

Answer:

-8y +8v +24

Step-by-step explanation:

-8(y-v-3)

Multiply each term inside the parentheses by -8

-8y -v*-8 -3*-8

-8y +8v +24

___________________________________

Hey!!!

solution,

-8(y-v-3)

= -8y+8v+24

_________________________________

Here,

You have to remember these things:

Hope it helps.

Good luck on your assignment