What is the volume of a box that holds 24 1/2 inch cubes

the answer is 39.9 %

Answer: 4

Step-by-step explanation:

Find all of the factor pairs of 120, then look for the ones that are even-odd

         120

           ∧

      120   1     even-odd

        60   2    even-even

        40   3    even-odd

         30   4    even-even

         24   5    even-odd

         20   6    even-even

          8    15    even-odd

           10  12    even-even

There are 4 even-odd factors pairs for 120.

So the Rational Zeros Theorem states that the potential zeros are ± P/Q, with P = factors of the constant and Q = factors of the leading coefficient.

In this case, the constant is -3 and the leading coefficient is 2.

With P and Q established, divide them all as such:

[tex]\pm \frac{1}{1}, \pm \frac{3}{1}, \pm \frac{1}{2}, \pm \frac{3}{2}\\\\\pm 1,\pm 3, \pm \frac{1}{2}, \pm \frac{3}{2}[/tex]

In short, your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.

we are given

system of equations

First equation is

[tex]3x-2y=31[/tex]

Second equation is

[tex]3x+2y=-1[/tex]

now, we can find augmented matrix

[tex]A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}[/tex]

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

[tex]A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}[/tex]

step-2:add -3 times the 1st row to the 2nd row

[tex]A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}[/tex]

step-3:multiply the 2nd row by 1/4

[tex]A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}[/tex]

step-4: add 2/3 times the 2nd row to the 1st row

[tex]A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}[/tex]

so, we get

[tex]x=5,y=-8[/tex]

Answer is (5,-8)

Solution is (5,-8)

3x – 2y = 31

3x + 2y = -1

first we write it in matrix form

3  -2   | 31   -------------> Row 1

3   2   | -1  -------------> Row 2

We use row operations and get matrix in 1   0    and 0  1  form

Subtract Row 2 by row 1.  R2 -> R2 - R1. So R1 remains the same

3  -2   | 31   -------------> Row 1

0   4   | -32  -------------> Row 2

Divide row 1 by 3, R1-> R1/3. So R2 remains the same

1   [tex]\frac{-2}{3}[/tex]   | [tex]\frac{31}{3}[/tex]    -------------> Row 1

0   4   | -32  -------------> Row 2

Divide row 2 by 4. R2 -> R2/4

1   [tex]\frac{-2}{3}[/tex]   | [tex]\frac{31}{3}[/tex]    -------------> Row 1

0   1   | -8  -------------> Row 2

Now we need to get 0 in the place of -2/3

Multiply Row 2 by 2/3  and add it with Row 1. R1 --> 2/3 times R2 + R1

1   [tex]1*\frac{2}{3}+\frac{-2}{3}[/tex]   | [tex]-8*\frac{-2}{3}\frac{31}{3}[/tex]    -------------> Row 1

0   1   | -8  -------------> Row 2

Now simplify the fraction

1   0   | 5    -------------> Row 1

0   1   | -8  -------------> Row 2

So from this we can see that x=5  and y = -8

Solution is (5,-8)

This question is based on multiplication.

Given situation is -

by recycling 1 ton of paper , the amount of water saved is = 6953 gallons

So, by recycling 4 tons of paper , the amount of water saved will be=

[tex]6953*4[/tex]

= [tex]27812[/tex] gallons

Hence, 27812 gallons of water are saved by recycling 4 tons of paper.

Let's find out how much tax was paid. Subtract the amounts: 1800 - 1683 = 117

So $117 was paid in tax. Divide this over the initial amount 1800 and we get 117/1800 = 0.065

To convert from decimal form to percent form, you multiply by 100. This is basically moving the decimal point 2 spots to the right. So we go from 0.065 to 6.5%

Therefore the answer is 6.5%

Whenever you add a rational and an irrational number, the result is an irrational number.

So, since 3/4 is rational, if you add any irrational number you will get an irrational number as a result.

Its not correct because the answer would be 1,440 (rounded) this is no where near as close as 222.3.

117 * 19

= 120 * 20  to the nearest 10

=  2400   which indicates that 2223 is a reasonable answer.

Answer:

the answer is 1470.

Step-by-step explanation:

If you multiple 35 by 42, you get 1470. To check the answer, you can divide 1470 by 35 and get 42. You can also divide 1470 by 42 to get 35.

Answer:

Y = 10

Step-by-step explanation:

Your answer will be (x-4y)(x+3y)

To factor the polynomial x^2-xy-12y^2, we rewrite the polynomial, recognize the common numbers that add to -1 and multiply to -12, factor by grouping, and finally factor out the common binomial term to get the final answer: (x-4y)(x+3y).

To factor the polynomial x^2-xy-12y^2, first you need to recognize that this is a quadratic equation in the form of ax^2+bx+c. Here, a=1, b=-1, and c=-12y^2. The next step involves factoring this quadratic equation. The standard method for factoring such an equation would be to find two numbers that add to b (the coefficient of x) and multiply to c (the coefficient of y^2).

In this case, we are looking for two numbers which add to -1 and multiply to -12. Those numbers are -4 and 3. Therefore, we can rewrite the middle term of the equation (xy) as (-4xy + 3xy). So the equation becomes x^2-4xy+3xy-12y^2.

Now, we can factor by grouping, which means factoring out common factors from each of the two groups: x(x-4y)+3y(x-4y). Finally, we can factor out the common binomial term to get the factored form of the polynomial: (x-4y)(x+3y).

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−24−(−19) =

- 24 + 19 =

-5

Final answer:

To calculate 3 to the 7th power times 3 to the power of negative 4, you add the exponents since the base is the same. This results in 3 cubed (33), which equals 27.

Explanation:

The question asks to calculate 3 to the 7th power times 3 to the power of negative 4. This can be simplified using the rules of exponents. When multiplying powers with the same base, you add the exponents. So for this problem, you would do the following:

3⁷ *3⁻⁴ = 3⁷⁺⁽⁻⁴⁾

3³ because 7 + (-4) equals 3

Therefore, the answer is 33 which is 3*3*3, equaling 27.

Moreover, a negative exponent like 3 to the power of negative 4 indicates that the number 3 is on the denominator, yielding 1 over 3 raised to the 4th power or 1/34.

Given : f(x)=2x+1 and g(x)=x^2-1.

We need to find  (f/g)(x).

Note: In the given options, we have 2x + 1 and  x^2 - 7 parts.

So, let us take f(x)=2x+1 and g(x)=x^2-7.

[tex](f/g)(x) =\frac{f(x)}{g(x)}[/tex]

Plugging f and g functions in the formula.

[tex](\frac{f}{g})(x)=\frac{(2x+1)}{(x^2-7)}[/tex]

Also, it would be undefined for x = ± square root 7 becaue it would give 0 in the denomiantor.

Therefore, correct option is C. 2x + 1 / x^2 - 7, x ≠ ± square root 7.

Answer:

The measure of angle ABC = The measure of angle A prime B prime C prime

Step-by-step explanation:

we know that

The transformation of the figure is a reflection, so after the transformation  the shape still has the same size, area, angles and line lengths.

the triangles ABC and A'B'C' are congruent

therefore

the corresponding sides and corresponding angles are equal

so

The relationship between the measures of the angles of the two triangles is

[tex]m<ABC=m<A'B'C'[/tex]

[tex]m<BCA=m<B'C'A'[/tex]

[tex]m<BAC=m<B'A'C'[/tex]

The statements about the experimental probability are as follows;

For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.;

If the number of trials is changed, the experimental probability also changes. ;

If the number of trials is changed, the predicted number of outcomes also changes.

If the number of trials is changed, the number of experimental outcomes also changes.

Given

Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.

He spun 4 five times.

The experimental outcomes refer to the number of repetitions with no limits.

The statements about the experimental probability are as follows;

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Increasing the number of trials in Frederick's experiment will make the experimental outcomes closer to the predicted outcome. The law of large numbers explains how the experimental probability tends to approach the theoretical probability as the number of trials increases.

The statement that is true is 'For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.' When Frederick spins the spinner 20 times, the experimental probability of spinning a 4 is based on a relatively small number of trials. To get a more accurate result that aligns with the predicted probability, he should increase the number of trials.

According to the law of large numbers, as the number of trials in a probability experiment increases, the experimental probability of an event tends to get closer and closer to the theoretical probability. Therefore, by increasing the number of trials, Frederick can obtain a more reliable experimental probability result.

None of the other statements are true. If the number of trials is changed, the number of experimental outcomes does not change because the number of trials is fixed at 20 in this case. The predicted number of outcomes also does not change because Frederick is not changing the nature of the spinner or the possibilities it can land on. Similarly, the theoretical probability remains the same regardless of the number of trials. Finally, changing the number of trials does not affect the theoretical probability. The theoretical probability is based on the properties of the spinner and would remain constant.

(2.99×c)+(50×s) this is the equation for the word problem

[tex]a_1=5\\\\a_n=a_{n-1}-3\\\\a_2=a_1-3\to a_2=5-3=2\\\\a_3=a_2-3\to a_3=2-3=-1\\\\a_4=a_3-3\to a_4=-1-3=-4\\\\Answer:\ \{5,\ 2,\ -1,\ -4\}[/tex]

To arrange numbers from least to greatest:

First write them down in decimal form. Now it will be easy to determine which value is greater than the other.

Arrange the decimal numbers from least to greatest.

Finally revert the decimal values to their fraction form having arranged them from one with least value to one with greatest value.

The speed of sound in scientific notation is 3.00 x 10⁸ m/s

speed of light, the speed at which light waves propagate through different materials. In particular, the value for the speed of light in a vacuum is now defined as exactly 299,792,458 meters per second.

Given here is the speed of sound is about thirty-four thousand centimeters per second. Therefore the speed of light in scientific notation is  3.00 x 10⁸ m/s

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Answer:

3.4 x 10^4 centimeters per second.

you said times and sum, sum is addition and times is multiplication so im confused. can you copy the exact question so i can help?

Answer:

-1075

Step-by-step explanation:

The other person was right they forgot to make it a negative

There are two sequence in mathematics, one is arithmetic and other is geometric sequence. Therefore, the 64th term of the arithmetic sequence is -1075.

In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same. Another sequence is the geometric sequence.

The nth term of an arithmetic sequence is given by:

[tex]a_{n}[/tex]=a₁+(n-1)d

In which  is the first term from−4,−21,−38 is a₁  -4

Common difference between two consecutive terms is d=-38-(-21)=-17

substituting in the above equation an=a1+(n-1)d

[tex]a_{n}[/tex]=-4+(n-1)(-17)

Since we have to find the 64th term of the arithmetic sequence we have to put n=64

[tex]a_{n}[/tex]=-4+(64-1)(-17)

 [tex]a_{n}[/tex]   =-4+(63)(-17)

[tex]a_{n}[/tex] =-1075

Therefore, the  64th term in the arithmetic sequence -4, -21, -38 is -1075.

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