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almond37 [142]
3 years ago
15

You have a rectangular prism as shown below. Its height is 7 cm, its width is 4 cm, the length is 3 cm. How would we calculate t

his volume?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

9514 1404 393

Answer:

  84 cm³

Step-by-step explanation:

There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.

The formula for the volume of a rectangular prism is ...

  V = LWH . . . . . product of Length, Width, and Height

Put the numbers in place of the corresponding variables and do the arithmetic.

  V = (3 cm)(4 cm)(7 cm) = 84 cm³

The volume of this rectangular prism is 84 cubic centimeters.

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1/2(8x-20)=1/4(12x+32)
Mila [183]

Answer:

x=18

Step-by-step explanation:

4x-10=3x+8

4x-3x

x-10=8

8+10

6 0
3 years ago
The output of an economic system​ Q, subject to two​ inputs, such as labor L and capital​ K, is often modeled by the​ Cobb-Dougl
Anna35 [415]

Answer:

Step-by-step explanation:

Given

Economic system Q is given by

Q=cL^aK^b

also a+b=1

if Q=12,200

a=\frac{1}{6}

b=\frac{5}{6}

c=42

substitute these values

12,200=42\times (L)^{\frac{1}{6}}K^{\frac{5}{6}}

(L)^{\frac{1}{6}}K^{\frac{5}{6}}=\frac{12,200}{42}

K^{\frac{5}{6}}=\frac{12,200}{42(L)^{\frac{1}{6}}}

K=(\frac{12,200}{42})^{\frac{6}{5}}\times \frac{1}{L^{5}}

differentiate w.r.t to L to get \frac{dK}{dL}

\frac{dK}{dL}=(\frac{12,200}{42})^{\frac{6}{5}}\times (-5)\times L^{-6}

\frac{dK}{dL}=-5(\frac{12,200}{42})^{\frac{6}{5}}\times \frac{1}{L^6}

\frac{dK}{dL}=-\frac{4515.466}{L^6}

6 0
3 years ago
What is (-4x² + 3x + 3)(x² - 2x + 2) as a polynomial
gizmo_the_mogwai [7]

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

<h3>What is a polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

We have to simplify the expression by multiplying the expression as,

=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)

=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6

= -4x⁴+11x³-5x²+6

Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ1

5 0
1 year ago
An electronics company has a contract to deliver 21,475 radios within the next four weeks. The clientis willing to pay $20 for e
navik [9.2K]

Step-by-step explanation:

<em>See attached a detailed annotation of the LP formulation</em>

let is describe the problem bellow.

An electronics company has a contract to deliver  21,475 radios within

the next four weeks. The client is willing to pay

$20 for each radio delivered by the end of week 1

$18 for each radio delivered by the end of week 2

$16 for each radio delivered by the end of week 3

$14 for each radio delivered by the end of week 4

Each worker can assemble 50 radios/wk.

Size of present workforce = 40.

Any experienced worker can be taken off the assembly line to instruct a class

of three trainees; after one week of instruction, each of the trainees can

either proceed to the assembly line or instruct additional new classes.

Weekly wages for experienced workers: $200

Weekly wages for trainees: $100

Production costs, excluding wages: $5/radio.

3 0
3 years ago
If f(x) = 2x2 − 30, find f(4).
Naddik [55]

Just replace x = 4

2x^2 - 30

=2 *(4)^2 -30

= 2 * 16 - 30

= 32 - 30 

= 2

Answer is 2

8 0
3 years ago
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