How does the volume of the larger cube compare to the volume of the smaller cube? Use pencil and
paper. Use this and other examples to describe what happens to the volume of a cube if you triple the length
of the edges.

The mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The question is incomplete.

The complete question is in the picture please refer to the picture.

We have given an arithmetic expression:

[tex]=\dfrac{9}{2}+3\left(4-1\right)-7+2^3[/tex]

Step 1:

[tex]=\dfrac{9}{2}+3(3)-7+2^3[/tex]

Step 2:

[tex]=\dfrac{9}{2}+3(3)-7+8[/tex]

Step 3 should be:

[tex]=\dfrac{9}{2}(3)-7+8[/tex]

The mistake made in the step 3

Thus, the mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,

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Answer:

Step-by-step explanation

2 * [3 * (16 + 1)] - 8 =

2 * [3 * 17] - 8 =

2 * 51 - 8

102 - 8 =

94

The inequality that can be used  to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.

Here are inequality signs and what they denote:

Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)

$1500 ≥ $575 + $5d

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Refer to the attachment

Answer:

both

Step-by-step explanation:

that's the answer to the question

The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.

A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].

The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.

Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).

In conclusion, we can deduce that the range of this function is -∞ < y < ∞.

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Answer:

domain:

c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.

and pretty sure the range is:

b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.

because all real numbers

Step-by-step explanation:

hope this helped

Answer:

see explanation

Step-by-step explanation:

∠ CZD = 90° , then

∠ CZF = 90° - ∠ FZD = 90° - 40° = 50°

∠ FZD and ∠ AZG are vertically opposite angles and are congruent , so

∠ AZG = 40°

∠ CZF and ∠ GZE are vertically opposite angles and are congruent , so

∠ GZE = 50°

E

∠ AZB + ∠ BZC = 90° , that is

3x - 2 + 32 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Check the picture below.

Answer:

  The sine of the angle = the length of the opposite side. the length of the hypotenuse.

  The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

  The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Step-by-step explanation:

Answer:

c = a√2

Step-by-step explanation:

Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

since there is no measure, I will write you the formula:

c (hypotenuse) = a√2

The employee that has the larger pay increase is Jane. Her income is larger by £65.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.

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1 year or less is at the first quartile mark in the box plot, therefore, the number of schools that participated for a year and less is: A. 6 schools.

The data point at the beginning of the edge of the rectangular box in a box plot is the first quartile mark of the data, which is 1/4 or 25% of the data.

1 year or less is at the first quartile mark in the box plot. That is 1/4 of the total number of schools.

Therefore, schools that participated for a year and less = 1/4(24) = 6 schools.

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Answer:

Step-by-step explanation:

The triangles are congruent when corresponding sides are congruent.

__

ΔFGH ≅ ΔABC means corresponding sides are ...

  (GH, BC) = (V, 16)

  (HF, CA) = (48, W)

Corresponding sides being congruent means ...

  V = 16

  W = 48

Median is the central tendency of the data and always exists in the middle of the data set.

The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.

The process of finding the median if the number of data points is even is as follows:

( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)

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The probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.

From the information given, we have to find the probability for each fruit. This will be:

Almond = 12/50 = 0.24

Cashew = 10/50 = 0.2

Mixed = 6/50 = 0.12

Peanut = 14/50 = 0.28

Pecan = 8/50 = 0.16

Therefore, the probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.

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Answer:

[tex]y=-\frac{1}{2}x+2[/tex]

Step-by-step explanation:

The equation for slope-intercept form is [tex]y=mx+b[/tex].

First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].

Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].

By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].

Answer:

If you entered the function correctly there is not a range  

Step-by-step explanation:

Answer: {y|-♾<y<0}

Step-by-step explanation: i’m taking this summer school class

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

Answer:

-10 is the opposite of 10

Step-by-step explanation:

-10 is the opposite of 10 ,because The sum of a number and its opposite equals to zero.

Answer:

C: 5%

Step-by-step explanation:

175 out of 3500 = 175/3500

175/3500 = 1/20

1/20 = 0.05

0.05 = 5%

Answer:

C 5%

Step-by-step explanation:

I am smart so trust me

450t+550t=4,000

1000t=4000

t=4000/1000

t=4 hours they will be 4,000 apart.

------------------------------------------

20t+12(4.5-t)=70

20t+54-12t=70

8t=70-54

8t=16

t=16/8

t=2 hours at 20 mph.

proof

20*2+12(4.5-2)=70

40+12(2.5)=70

40+30=70

70=70

Answer:

  B: 610; A: 202,000

  D: 253; C: 2,007,000

Step-by-step explanation:

These are all expressions that can be calculated as is, or that can be simplified a little bit by taking advantage of the distributive property and other properties of addition and multiplication. The idea is to look for numbers that show up more than once, and rearrange the expression so they only show up once.

__

This is a straight addition problem. The two "176" values have opposite signs, so cancel when they are added. Using the associative and commutative properties of addition, we can rearrange this to ...

   597 +13 +(-176 +176)

  = 597 +13

This can further be rearranged to ...

  = (597 +3) +(13 -3)

  = 600 +10

  = 610

__

The factor 2020 can be put outside parentheses using the distributive property:

  = 2020(173 -73)

  = 2020×100

  = 202,000

__

The value 15 is repeated. Terms using it can be combined using the distributive property.

  = 15(17 -1) +13

  = 15(16) +13

  = 240 +13

  = 253

Another way to look at this one is to use the factoring of the difference of squares.

  = (16 +1)(16 -1) +(-15 +13)

  = 16² -1² +(-2)

  = 256 -3

  = 253

__

Again, we can focus on rearranging so 2019 only needs to show up once.

  = 2019(890 +110) -12000

  = 2019×1000 -12×1000

  = (2019 -12)×1000

  = 2,007,000

Answer:

Probability=number of specific outcomes/total of all possible outcomes

There are 5 blue marbles and a total of 15 marbles.

So the probability of drawing a blue marble from the jar is:

5/15

1/3

Step-by-step explanation:

Hope this helps

L = 2W

perimeter = 2( L + W ) = 20 .

2 ( 2W + W ) = 20

6 W = 20

W = 20/6

= 10/3

L = 20/3

Answer:

10/3

Step-by-step explanation:

Given properties of the rectangle:

Given this we want to find the width of the perimeter.

Creating a system of equation:

First off we know that perimeter = 2L + 2W

We also know that the perimeter of this rectangle is 20 cm

So we can say that 20 = 2L + 2W

We also know that the length of this rectangle is twice the width or in other words l = 2w

So we have the two equations, 20 = 2l + 2w and l = 2w

Solving the system:

We are going to use the substitution method to solve this system.

The substitution method works when you have two equations, one can be just a plain equation but the other must have one of the variables defined ( by itself on either side of the equal sign )

If you have one of the variables defined, you can plug it in ( substitute ) into the other equation and solve for the other variable.

Plugging in the defined variable into the other equation

Equation : 20 = 2l + 2w

Defined variable : l = 2w

==> plug in l = 2w

20 = 2(2w) + 2w ( now we solve )

==> multiply 2 and 2w

20 = 4w + 2w

==> combine like terms

20 = 6w

==> divide both sides by 6

20/6 = w

==> simplify fraction

10/3  = w

The width = 10/3

Checking our work:

First we must solve for length as well

Solving for length by plugging in width into either equation

l = 2w

==> plug in w = 10/3

l = 2(10/3)

==> multiply 2 and 10/3

l = 20/3

Now to check our we we plug in the length and width into both equations, if both are true then our answer is correct

Equation 1 : 2l + 2w = 20

==> plug in l = 20/3 and w = 10/3

2(20/3) + 2(10/3) = 20

==> simplify multiplication

40/3 + 20/3 = 20

==> add fractions

20 = 20

Equation 2 : l = 2w

==> plug in l = 20/3 and w = 10/3

20/3 = 2(10/3)

==> multiply 2 and 10/3

20/3 = 20/3

Both are correct so our final answer is correct as well! :)

[tex] \sqrt{25 \: - \: 10 \sqrt{3} \: + \: 3} [/tex]

[tex] \sqrt{(5 \: - \: \sqrt{3} ) ^{2} } [/tex]

[tex] \boxed{ \bold{5 \: - \: \sqrt{3} }}[/tex]

To identify the value that goes in each box, we must perform the corresponding operation and calculate the final result.

In mathematics there are procedures such as addition (+), subtraction (-), division (÷), and multiplication (×) to solve problems. These operations are the four basic operations of mathematics.

According to the above, what we must do is identify what operation we must perform with the given numbers and then identify the result and put it in the corresponding box.

Note: This question is missing because there is some information missing. Howeve i can answer it based on my general knowledge.

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Part (a)

There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.

12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).

The probability of getting 3 face cards in a row, with replacement, is:

(3/13)*(3/13)*(3/13) = 0.012289 approximately

This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.

Lastly, round that to one decimal place to get 1.2%

The percent sign is already taken care of, so you'll just input the number only.

=============================================================

Part (b)

Like mentioned earlier, the probability of a face card is 12/52

I won't reduce that fraction, as you'll see why below.

After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.

11/51 is the probability of getting another face card, where we have no replacement going on.

Then 10/50 is the probability of getting a third face card. Again, with no replacement.

Therefore,

(12/52)*(11/51)*(10/50) = 0.009955

is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.

Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%

Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.

According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.

90 + 7x - 20 + 4x = 180

70 + 11x = 180

11x = 180 - 70

11x = 110

11x/11 = 110/11

x = 10

m∠ACB = 7x - 20

Plug in the value of x

m∠ACB = 7(10) - 20

m∠ACB = 50° (option B).

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Answer:

15) 3.2

17) 13.4

Step-by-step explanation:

To find the missing lengths, you need to use the Pythagorean theorem:

a² + b² = c²

In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.

You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".

15)    a = 4.1     c = 5.2

a² + b² = c²                                    <----- Pythagreom Theorem

(4.1)² + b² = (5.2)²                          <----- Plug values in for "a" and "c"

16.81 + b² = 27.04                         <----- Raise numbers to the power of 2

b² = 10.23                                      <----- Subtract 16.81 from both sides

b = 3.2                                           <----- Take the square root of both sides

You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".

17)   a = 4.4      b = 12.7

a² + b² = c²                                      <----- Pythagreom Theorem

(4.4)² + (12.7)² = c²                           <----- Plug values in for "a" and "b"

19.36 + 161.29 = c²                          <----- Raise numbers to the power of 2

180.65 = c²                                      <----- Add

13.4 = c                                            <----- Take the square root of both sides