What is the answer for this question

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:

15

Step- by- step explanation:

X is an acute angle ( less then 90) so it would be 15

BTW pick me for brainlyest!!

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:

-4x-3*-8=20

i belive x=20

Step-by-step explanation:

im sorry im not sure

ok The answer is (3,-8) in point form x=3, y=-8 in equation form.

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:

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:

50 im sorry if im wrong

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

15 * 15 = 225

225 / 2 =

im on that to, maybe i can try and help you !!

Answer:

$1.00

hopefuly this helped if not let me know!

Answer:

90

Step-by-step explanation:

X/10-4=5

add 4 to both sides

X/10=9

mulitiple 10 to both sides

X=90

check

(90)/10-4=5

9-4=5

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

It can be shown that all four sides of this figure have the same length.  This, in turn, is the definition of a rhombus.

Answer:

36.5 degrees Celsius

Step-by-step explanation:

38.5-2=36.5 degrees Celsius

Answer:

C

Step-by-step explanation:

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:

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:

Rational

Step-by-step explanation:

that is the answer

Answer:

Its a rational number

Step-by-step explanation:

Answer:

1=True

2=false

3=False

4=True

5=False

6=False

7=True

8=False

9=true

Step-by-step explanation:

As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.

Parallel lines are coplanar straight lines that do not intersect at any point.

We have,

Parallel lines L and M ,

Transversal line N,

[tex]\angle 2 =125^0[/tex], [tex]\angle 5 =55^0[/tex]

Now,

Using the Parallel lines properties,

Hence, we can say that As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.

To know more about Parallel lines click here

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Answer:

36893/12, de gramo de cobre y plata para las artesanías.

También pudiste haber encontrado el resultado escrito en forma de número mixto que en este caso sería 3074 y 5/12

La respuesta es 3 mil 74 gramos y cinco doceavos.

En este ejercicio utilizaremos los conocimientos de estadística para calcular cuantas piezas se necesitarán para hacer el conteo, de esta forma encontramos que:

tres mil setenta y cuatro gramos y cinco doceavos.

Para iniciar el cálculo tendremos que:

[tex]36893/12 = 5/12[/tex]

También pudiste haber encontrado el resultado escrito en forma de número mixto que en este caso sería:

tres mil setenta y cuatro gramos y cinco doceavos.

Ver más sobre estadísticas en brainly.com/question/11509245

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:

<2 <4 <5

Step-by-step explanation:

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

Answer:

9. 16.34

10. 51.84

11. 20.11

12. 76.03

13. 64.09

just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)

Answer:

2.4582​, 3.6, 3.601,  3.61

Answer:

talk to him

Step-by-step explanation:

he def likes you lmazo

[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:

Step-by-step explanation:

1). x² - 8x

  To convert this expression into a perfect square trinomial,

  x² - 2(4x) + 4² = (x - 2)²

  Therefore , 4² = 16 should be added.

  Option (4) is the answer.

2). x² + 2x = 3

   x² + 2(1)(x) = 3

   x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]

   (x + 1)² = 4

    x + 1 = ±2

    x = -3, -1

   Option (1) is the answer.

3). 3x²- 18x = 21

    x² - 6x = 7

    x² - 2(3x) = 7

    x² - 2(3x) + 3² = 7 + 3²

    (x - 3)² = 7 + 9

    (x - 3)² = 16

     x - 3 = ±4

     x = -1, 7

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:

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

[tex] = (x - \sqrt{7} )(x + \sqrt{7} )(x - 2)(x + 2)[/tex]

Answer:

[tex]12s+24[/tex]

Step-by-step explanation:

Distribute this and you get [tex]16s + 18 -4s + 6[/tex].

This simplifies to [tex]12s+24[/tex].

Answer:

A. the slope is negative

Step-by-step explanation:

the slope is going down so it is negative

Answer:

A

Hope this helps if not then let me know!