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3 years ago

I need to know the surface area of this prism please help !!!! I will give brainlist !

Mathematics

2 answers:

aivan3 [116]3 years ago

4 0

Answer:

614

Step-by-step explanation:

15 x 13 = 195 two times 195 x 2 = 390

4 x 15 = 60 two times 60 x 2 = 120

4 x 13 = 52 two times 52 x 2 = 104

104 + 120 + 390 = 614

nevsk [136]3 years ago

4 0

Answer:

SA = 2(l·w)+2(w·h)+2(l·h)

SA = 614 sq in

Step-by-step explanation:

SA = 2(4x13)+2(13x15)+2(4x15)

= 2(52)+2(195)+2(60)

= 104 + 390 + 120

= 614

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The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x)=1.03x. Find the cos

emmainna [20.7K]

year 1

cost = 1.03 (1500) = 1545

put 1545 in for x in year 2

year 2

1.03 * 1545 = 1591.35

put in 1591.35 in for x in year 3

year 3

1.03 *1591.35=1639.0905

round to the nearest cent

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Choice C

6 0

3 years ago

Match the numerical expressions to their simplest forms.

Aloiza [94]

Answer:

$(a^6b^1^2)^\frac{1}{3}$ = $a^2b^4$

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$ = $a^3b^2$

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$ = $a^2b$

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$ = $ab^3$

Step-by-step explanation:

Simplify each of the expressions:

$(a^6b^1^2)^\frac{1}{3}$

Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.

$(a^6b^1^2)^\frac{1}{3}$

$a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}$

Simplify,

$a^2b^4$

Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$

Rewrite as square roots:

$\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}$

A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:

$\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}$

Simplify,

$\sqrt{a^5b^3}*\sqrt{ab}$

Since both numbers are under a radical, one can rewrite them such that they are under the same radical,

$\sqrt{a^5b^3*ab}$

Simplify,

$\sqrt{a^6b^4}$

Since this operation is taking the square root, divide the exponents in half to do this operation:

$a^3b^2$

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$

Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:

$(\frac{a^8}{b^-^4})^\frac{1}{4}$

Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,

$(a^8b^4)^\frac{1}{4}$

This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,

$\sqrt[4]{a^8b^4}$

SImplify, divide the exponents by (4) to simulate taking the quartic root,

$a^2b$

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$

Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).

$(a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}$

$(a^2b^6)^\frac{1}{2}$

Rewrite to the half-power as a square root,

$\sqrt{a^2b^6}$

Simplify, divide all of the exponents by (2),

$ab^3$

7 0

3 years ago

Need help on this question anyone please!

LenaWriter [7]

Answer:

f(3)=2

Step-by-step explanation:

To find f(3), we simply need to find the ordered pair at x=3.

From the graph, we can see that the ordered pair at x=3 is (3,2).

Thus, f(3)=2.

And we're done!

5 0

3 years ago

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celia donates 10.2 inches of her hair to a company that makes wings.danielle donates 2.4 fewer inches of her hair than celia.how

Mashcka [7]

mathematically the answer to that is 18 because 10.2 minus 2.4 is equal to the difference of 7.8 and 7.8 plus 10.2 is equal to the sum of exactly and positively 18

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3 years ago

What is the difference between the median and the range in the data set shown below?

Snezhnost [94]

Median is 7, two numbers in the middle is 8 and 6, 8+ 6 = 14 divided by 2 is 7.

Range is largest number minus the smallest number. Largest number is 13 and smallest number is 1. 13-1 equals 12. Range is 12.

12 - 7 = 5 answer is 5

8 0

2 years ago

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