Mark dug a 20 foot hole in 4 hours. Which rational number shows the average depth Mark dug each hour? Check all that apply.


(A) –5


(B) [tex]\frac{-20}{4}[/tex]


(C) −[tex]\frac{4}{20}[/tex]


(D) −[tex]\frac{20}{4}[/tex]


(E) [tex]\frac{-4}{20}[/tex]


(F) [tex]\frac{-20}{-4}[/tex]

Answer:

-6x+14

Step-by-step explanation:

Simplemente debes

multiplicar

Part (a)

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

Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

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

Part (b)

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

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Answer:

Step-by-step explanation:

edge2021

9514 1404 393

Answer:

  h(0) = 10

  h(4) = 16

Step-by-step explanation:

The second part of the function definition applies when x=0.

  h(x) = 2x^2 -3x +10

  h(0) = 0 + 0 + 10 = 10

__

The third part of the function definition applies when x=4.

  h(4) = 2^4 = 16

Answer:

It will take Meryl 15.09 months to pay off the balance.

Step-by-step explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new baseball equipment = $2000

P = Monthly payment = $150

r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333

n = number of months it will take Meryl to pay off the balance = ?

Substitute the values into equation (1) and solve for n, we have:

2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)

2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333

13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333

13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n

0.21111111111111 = 1 - 0.984413453650536^n

0.984413453650536^n = 1 - 0.21111111111111

0.984413453650536^n = 0.78888888888889

loglinearize both sides, we have:

nlog0.984413453650536 = log0.78888888888889

n = log0.78888888888889 / log0.984413453650536

n = -0.102984160720249 / -0.00682245957075587

n = 15.0948729929724

Rounding to 2 decimal places, we have:

n = 15.09

Therefore, it will take Meryl 15.09 months to pay off the balance.

Answer:

Step-by-step explanation:

A^2+B^C^2 ////////A^2=10, and B^2=X^2, and C^2=15

10^2 + X^2 =15^2

100 + X^2 = 225(15^2 = 225)

-100 -100

= square root x= square root (125)

your answer will be 125

The value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of the square of other two legs of right angle triangle.

In the given image,

Using the Pythagoras theorem, the value of x can be found out as,

[tex]x^2+10^2=15^2\\x^2=15^2-10^2\\x^2=225-100\\x^2=125\\x=\sqrt{125}\\x=11.18[/tex]

Thus, the value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

Learn more about the Pythagoras theorem here;

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Answer:

use a calculator

Step-by-step explanation:

its not that hard

Answer:

<2 <4 <5

Step-by-step explanation:

When two lines are parallel and crossed by a transversal, the opposite interior angles are congruent.

Step-by-step explanation:

First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.

Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.

Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.

Answer:

Step-by-step explanation:

Answer:

4,398.839

Step-by-step explanation:

4,390.440 + 8.399=x

.000+.009=.009

.04+.09=.13

.4+.3=.7

.009+.13+.7=0.839

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

4390+8=4398

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

4398+0.839=4398.839

Answer:

1. A and C

2. C

3. B and E

4. B and C

Step-by-step explanation:

I just took the test 100%

Answer:

The sale price was $244.9.

Step-by-step explanation:

With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:

$310*21%=$65.1

$310-$65.1=$244.9

According to this, the answer is that the sale price was $244.9.

Answer:

-1

Step-by-step explanation:

First input = 4

Then we subtract 7 = 4 - 7 = -3

After that we divide 3 = - 3 ÷ 3 = -1

Hence, the output is -1 (Ans)

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Parallel lines and Transvell.

We here are going to use the concept of Corresponding angles, co- interior angles and linear pair also Adjacent angles.

hence, we get as,

1.) x = 60° , y = 60°.....(vertically opposite angles)

2.) x = 120° , y = 120°

3.) x = 105° , y = 75°

4.) x = 140° and y = 40°

All are above done.

Answer:

36.5 degrees Celsius

Step-by-step explanation:

38.5-2=36.5 degrees Celsius

Answer:

C

Step-by-step explanation:

Answer:

404

Step-by-step explanation:

2% of 10000 = 200 in the first year, setting your account to 10200

2% of 10200 = 204 in the second year, setting your account to 10404

In the total of 2 years, you received 404 extra

Answer:

Deposite amount (P) = 10000

Interest ( R)    = 2%

Years (T) = 2

Formula

S.I =PRT÷100

S.I =10000×2×2÷100

S.I =40000÷100

S.I =400

You have received interest after 2 years =400

Step-by-step explanation:

Answer:

3472

3274

3742

3724

7342

7324

7234

7432

4372

4732

2374

2734

i found this much

These are the 12 possible 4-digit even numbers that can be created by rearranging the number tiles (3, 4, 7, 2).

To create 4-digit even numbers by rearranging the given number tiles (3, 4, 7, 2), we need to consider the following conditions:

Considering these conditions, the possible 4-digit even numbers that can be formed are:

   2347

   2374

   3247

   3274

   3427

   3472

   4237

   4273

   4327

   4372

   4723

   4732

These are the 12 possible 4-digit even numbers that can be created by rearranging the number tiles (3, 4, 7, 2).

Learn more about the even numbers here:

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Answer:

choice 2:    reflection. flipped over y axis

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

A^2+12^2=15^2

A^2+144=225

A^2=81

A=9

9x2=18

31-18=13 cm

Find the perimeter of a rectangle whose width is 3 cm and whose diagonal is 3 √5 cm long.

A^2+3^2=3√5^2

A^2+9=45

A^2=36

A=6

3+3+6+6=18 cm

Answer:

talk to him

Step-by-step explanation:

he def likes you lmazo

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

Answer:

Not enough informations

Answer:

no its -4

Step-by-step explanation:

Answer:

1) x = 14.25     2) 9

Step-by-step explanation:

1) 1 Package = 4 boxes

1 Box = 7 pounds of beans

Your equation should be 4x + 7 = 64...

because 64 is the total pounds that each package weigh!  4 becomes a a variable; 4x because it has the word "each" in it. Mostly likely, when you see "each" that number becomes a variable. 7 is a just an number you have to add to the equation.

Solve!

    4x + 7 = 64

          - 7    - 7          Subtract 7 from both sides

     4x = 57

     4x / 4 = 57 / 4     Divide 4 from both sides

x = 14.25

2)  9

Answer:

240 cm², A = 300 cm², and 540 cm²

Step-by-step explanation:

1) The area of a parallelogram is A = bh, so:

A = (20)(12)

A = 240 cm²

2) Similarly, the area of a rectangle is A = bh, so:

A = (15)(20)

A = 300 cm²

3) The composite area is the sum of both the rectangle's area and the parallelogram's area, so:

240 cm² + A = 300 cm² = 540 cm²

Answer:

P=

20x12=240

R=

20x15=300

240+300

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 tablespoon = 3 teaspoons

You need to fill the tablespoon a third full. Not accurate, but that's what you have to do.

:::::

1¼ + ½ = 1¾

you need to fill the 2 cup measuring cup ⅞ full to get 1¾ cups.

Answer:

50

Step-by-step explanation:

the step

100% * 10 =10 as 100% = 1

then mulitply 10 *5 = 50

Answer:

where is your question friend...