Alex has 64 cubes with dimensions in ft like
1/2 x 1/2 x 1/2
He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps.
What is the volume in cubic ft of the larger rectangular prism?

Answer:

-26042

Step-by-step explanation:

sum of a finite geometric series =

[tex]\frac{a_1(1-r^n)}{1-r}[/tex]

here, a1 is the first term, r is the common ratio, and n is the number of terms

a1 = -2

r = -5

n = 7

[tex]\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042[/tex]

Answer:

y = 2x

Step-by-step explanation:

Parallel line share the same slope, therefore we can put any parallel line of y = 2 (x + 1) in equation as: y = 2x + k

As the parallel has to intercept with point (2/3, 1/3), simply put the coordinate into the equation to get value of k

2/3 = 2(1/3) + k

k = 0

Therefore the equation of this parallel line is y = 2x

Answer:

wE NEED MORE CLARIFICATION

Step-by-step explanation:

What is the equasion
What is the link

Answer:

im passing this concept trust me answer is 34.8

Step-by-step explanation:

Answer:

17/18pi or 2.97

Step-by-step explanation:

170 degrees to radian

170 * pi / 180 degrees

so, 170pi/180

17/18pi or 2.97

Answer:

90%

Step-by-step explanation:

Do 72/80 to find the decimal

72/80=0.9

Then to convert decimal to percent move the decimal point two times to the right.

0.9=90%

Reason:

Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)

In other words, triple each coordinate of point D.

This trick only works if the center of dilatioin is the origin.

Answer:

≈2825

Step-by-step explanation:

28250*10%≈2825

Pay attention to the ≈ sign

Step-by-step explanation:

Howdy there :)

To describe the transformation of the parent logarithmic function, you just need to follow these rules

1. A +  on the outside of the parentheses will mean a vertical shift upwards. As such, the transformation is moved 5 units up. If it was -, it would move 5 units down.

2. The inside of the parentheses will result in a horizontal shift right 4 units. The rule to remember is that these kinds of functions follow x(a - b) rules, meaning that when the 4 is subtracted, we are really talking about a positive four, unlike in standard arithmetic. Vice versa, a + 4 will mean a -4 four, since a - -4 is the same as a + 4. As such, we will move in the positive direction (right) on the y axis.

3. Since x is now -2x, we are reflecting about the y axis, meaning the function will switch from left to right or right to left.

4. The 2 in front of it represents a vertical dilation by a factor of 2. This is because our constant, 2, is greater than 1. If the number were in between 0 and 1, it would represent a vertical compression by the constant number.

(3/5) × 30 = 3 × 6 = 18 days it won't rain

30 - 18 = 12 days it will rain

hope it helps...!!!

Using it's concept, it is found that:

In this problem, the mean of the data-set is given by:

M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.

Hence, the mean absolute deviation is given by:

MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45

Then:

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Answer:

0.45 cm

Explanation:

In order to find the height of any shape given the volume and base area.

Simply divide the volume by the base area.

Here given:

Height:

Answer:

36+2.67

Step-by-step explanation:

I hope this is correct

Answer:

[tex]y = 3x - 27[/tex]

Step-by-step explanation:

[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]

Answer:I guess

represent

expression

degree of 4

Answer:

The scale factor is 5 because the increase in each side of the shape is *5

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

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Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:

39x + 42y = 7869

Then:

[tex]y = \frac{7869 - 39x}{42}[/tex]

This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:

14x + 41y = 6117.

Since [tex]y = \frac{7869 - 39x}{42}[/tex]:

[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]

14x - 38.07x = -1564.64.

x = 1564.64/24.07

x = 65.

[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]

Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

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To determine the lower price, the formula should use a z-value that is less than -1.

We are given;

Mean; x' = $6.32

Standard deviation; s = $0.47

A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.

Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.

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Answer:

See below ~

Step-by-step explanation:

This is a combination because the order in which the players are selected is not important.

Number of ways

Apply combination

[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So

[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]

[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]

[tex]\\ \rm\Rrightarrow 4004[/tex]

Step-by-step explanation:

The answer is 0.8 as a fraction is 4/5

Answer:

The range of an exponential function, or any function is all the possible y values the function can spit out.

In MOST exponential functions they will be x>0

I am talking about the standard form: y = a * b^x

I cannot tell you the range for YOUR exponential function without seeing it first.

Find the slope:

(-19 - 11) / (-8 - 2) = (-30/-10) = 3

Find the y intercept:

y = mx + b

11 = 3(2) + b

b= 5

So equation is:

y = 3x + 5

It diverges

Step-by-step explanation:

it is an alternating sequence hence it will diverge

Answer: The median is 96

Step-by-step explanation:

Answer:

the no. are -10 and -24

when we add -10 with -24 we get -34