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xz_007 [3.2K]
3 years ago
14

What is the value of 5x³+4y³ when x=4 and y=3

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:  428

Step-by-step explanation:

This is a substitution problems,

Just substitute for the values of x and y , multiply them out and add.

Here we go;

                5x³  + 4y³

            =  5(4³)  + 4(3³)

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

            =  5 x 64 + 4 x 27

            =  320 + 108 add directly or find the common factor

            =  4(80 + 27)

            =  4(107)

            =  4 x 107

            =  428

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Elena-2011 [213]

Answer(s):

  • 154 in²
  • 3168/7 km²
  • 38.5 m²

Revising the area of a circle formula

We already know that the area of a circle is expressed as \pi r^{2}.

  • The "r" variable is known as the radius.
<h2><u>Solving each problem given:</u></h2><h3>Solving Problem 4:</h3>

We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

\implies \pi (7)^{2}

<u>Take π as 22/7</u>

\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)^{2}<em> </em>

\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)(7)

\implies (22)(7)

\implies 154 \ \text{in}^{2}

<h3>Solving Problem 5:</h3>

In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

\implies \pi (12)^{2}

<u>Take π as 22/7</u>

\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}

\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)(12)

\implies \dfrac{3168}{7} \ \text{km}^{2}

<h3>Solving Problem 6:</h3>

We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

\implies \pi (3.5)^{2}

<u>Take π as 22/7</u>

\implies \huge\text{(}\dfrac{22}{7}\huge\text{)}  (3.5)^{2}

\implies \huge\text{(}\dfrac{22}{7}\huge\text{)}  (3.5)(3.5)

\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)

\implies 38.5 \ \text{m}^{2}

Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>

Learn more about area of circles: brainly.com/question/12414551

3 0
3 years ago
Is 4x^ -3 - 4x + 6 nonlinear or linear
Sedbober [7]

Answer:

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Step-by-step explanation:

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Answer:

hey mate!!

Step-by-step explanation:

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Sorry mate check out the answer !

7 0
3 years ago
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Aleksandr [31]

Answer:

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