If the edge length of a cube is 13 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? 313 133 13 × 13 × 13 13

Answers

Answer 1

Answer: volume is legnth times width times height
if legnth=width=height and legnth=13
volume=13 times 13 times 13

exponents tell how many times to multiply by itself
2^3 means 2 times itself 3 times or 2 times 2 times 2

so 13 times 13 times 13=13^3

so the answer is 13^3

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Josie has a 1364 page book to read over summer vacation she wants to read the same number of pages each day for 62 days what is the total number of pages Josie will need to read each day

Answers

1364 pages/62 days = 22 pages per day

Final answer:

Josie must read 22 pages per day in order to finish her 1364 page book over a 62-day summer vacation.

Explanation:

This question is about dividing a total quantity into equal daily amounts. It requires the use of division in mathematics. To find out how much Josie needs to read each day, we need to divide the total number of pages (1364) by the total number of days (62).

The division equation is: 1364 ÷ 62 = 22.

So, Josie needs to read 22 pages each day in order to complete her book in the given time period.

Learn more about Division here:

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Rotate the figure 90 degrees clockwise. Then, mark the statements as true or false.

Answers

Answer:

The first one is False

The second one is True

The second is true, first is false

Please Please Please Help in Questions 24 and 25!!!!! PLEASE!!!!

Answers

a, b and c are the zeros of a polynomial: w(x) = (x - a)(x - b)(x - c).

$24.\nw(x)=(x-6)[x-(-5-2i)][x-(-5+2i)]\n\nw(x)=(x-6)(x+5+2i)(x+5-2i)\n\nw(x)=(x-6)[(x+5)+2i][(x+5)-2i]\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x-6)[(x+5)^2-(2i)^2]\n\n\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ (ab)^n=a^nb^n\n\nw(x)=(x-6)(x^2+2(x)(5)+5^2-2^2i^2)\n\nw(x)=(x-6)(x^2+10x+25-4(-1))\n\nw(x)=(x-6)(x^2+10x+25+4)$

$w(x)=(x-6)(x^2+10x+29)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x)(x^2)+(x)(10x)+(x)(29)+(-6)(x^2)+(-6)(10x)+(-6)(29)\n\nw(x)=x^3+10x^2+29x-6x^2-60x-174\n\n\text{combine like terms}\n\nw(x)=x^3+(10x^2-6x^2)+(29x-60x)-174\n\n\boxed{w(x)=x^3+4x^2-31x-174}$

$25.\nw(x)=(x-i)(x-(-i))(x-6i)(x-(-6i))\n\nw(x)=(x-i)(x+i)(x-6i)(x+6i)\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x^2-i^2)(x^2-(6i)^2)\n\n\text{use}\ (ab)^n=a^nb^n\ \text{and}\ i^2=-1\n\nw(x)=(x^2-(-1))(x^2-6^2i^2)\n\nw(x)=(x^2+1)(x^2-36(-1))\n\nw(x)=(x^2+1)(x^2+36)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x^2)(x^2)+(x^2)(36)+(1)(x^2)+(1)(36)\n\nw(x)=x^4+36x^2+x^2+36\n\n\boxed{w(x)=x^4+37x^2+36}$

What is the GCF for 26 48 and 62 plese help

Answers

It's 2, the only factors 26 has is 1,2,13, and 26. So it has to be 2 since none of the other factors relate to the other numbers.

All three numbers are even there for can all be divided by 2.
If you divide 26 by 2 you get 13
48 by 2 you get 24
and 62 by 2 you get 31
the GCF is 2

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $14 plus $5 per hour. Darlene's Dog Sitting charges $18 plus $3 per hour.54 42

Part 1 out of 2
Complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services. In your equation, use x to represent the number of hours of dog sitting.

The equation is .
The total cost will be the same for the two services at hours.

Answers

Answer:

The Equation is $14+5x=18+3x$ .

The total cost will be the same for the two services at 2 hours.

Step-by-step explanation:

Given:

Fixed charge of Derrick = $14

Hourly charge of Derrick = $5

Fixed charge of Darlene = $18

Hourly charge of Darlene = $3

Let number of hours be 'x'.

Hence We can say that Total Charges of Derrick's Dog Sitting will equal to sum of Fixed charge of Derrick and Hourly charge of Derrick multiplied by Number of hours.

Framing in equation form we get;

Total Charges of Derrick's Dog Sitting = $14+5x$

Now We can say that Total Charges of Darlene's Dog Sitting will equal to sum of Fixed charge of Darlene and Hourly charge of Darlene multiplied by Number of hours.

Framing in equation form we get;

Total Charges of Darlene's Dog Sitting = $18+3x$

we need to find the number of hours used at which both the total cost would be same.

we can say;

Total Charges of Derrick's Dog Sitting = Total Charges of Darlene's Dog Sitting

$14+5x=18+3x$

Hence the Equation is $14+5x=18+3x$

On Solving the equation we will find the numbers of hours for the same we get;

Combining like terms

$5x-3x=18-14$

$2x=4$

Now dividing both sides by 2 using Division property we get;

$(2x)/(2)=(4)/(2)\n\nx=2$

Hence, The total cost will be the same for the two services at 2 hours.

which digit can replace the? to make this number sentence true 736,554 < 7?6,573 < 736,589 only one answer

Answers

You need 3 for ? to make this sentence true, because if you place 3 for ?, 736,554<736,573<736,589 makes sense. If you compare the three numbers, 736,554 is the smallest, then 736,573, and 736,587 is the biggest number.
Hope this answered your question!

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