Which of the following expressions is equivalent to (- 4) ^ 5

I need help answering this ASAP

Nata [24]

Answer:

"D"

if you multiply by Conjugate

the denominator would end up A^2 - b^2

the answer has 25 - 10x

that is D

Step-by-step explanation:

7 0

3 years ago

The length of a certain rectangle is 15cm more than three times its width. If the perimeter of the rectangle is 94cm, what is th

leva [86]

Answer:

Step-by-step explanation:

Let w be the width

Length = 3w +15

Perimeter = 94 cm

2*(length + width) = 94

2*(3w+15 + w) = 94

2*( 4w + 15) = 94

4w + 15 = 94/2

4w +15 = 47

4w = 47 -15

4w = 32

w = 32/4

w = 8 cm

Length = 3w +15 = 3*8 + 15 = 24 +15 = 39

Length = 39cm

Area = length * width = 39*8 = 312

Area = 312 cm²

8 0

4 years ago

Find the area of the polygon.

professor190 [17]

The formula for the area of the triangles is base x hight divided by 2 (bh/2)
The formula for the square is length times width (l x w)

therefore...

bh/2 = (12)(6) / 2 = 36 (this is the area of one triangle)

then you need to times 36 by 4 because you have 4 triangles.
36 x 4 = 144

l x w = 12 x 12 = 144 (this is the area of the square)

last you need to add the area of the triangles (144) and the area of the square (144) because that will give you the total surface area of the shape.

144+144= 288

so your answer is 288cm squared (288cm2)

6 0

3 years ago

Read 2 more answers

Answer the questions below about Line 1 and Line 2 shown below.

givi [52]

The expression was rewritten using the commutative law of addition.
Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots.
Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

<h3>What is the commutative law of addition?</h3>

The commutative law of addition is also referred to as the law of cumulative addition and it states that if two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.

This ultimately implies that, the sum of addends would always be the same (equal) regardless of their arrangement in accordance with the commutative law of addition. Mathematically, the commutative law of addition can be represented using the following formula:

A + B = B + A.

In this context, we can reasonably infer and logically deduce that the given expression was rewritten using the commutative law of addition.

In conclusion, Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

Read more on commutative law of addition here: brainly.com/question/778086

#SPJ1

6 0

2 years ago

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.

pentagon [3]

Answer:

trapezoidal rule: 14.559027
midpoint rule: 14.587831
Simpson's rule: 14.577542

Step-by-step explanation:

We assume you want the integral ...

$\displaystyle\int_4^{14}{\sqrt{\ln{x}}}\,dx$

The width of each interval is 1/6 of the difference between the limits, so is ...

interval width = (14 -4)/6 = 10/6 = 5/3

Then the point p[n] at the left end of each interval is ...

p[n] = 4 +(5/3)n

__

<u>Trapezoidal Rule</u>

The area of a trapezoid is the product of its average base length multiplied by the width of the trapezoid. Here, the "bases" are the function values at each end of the interval. The integral according to the trapezoidal rule can be figured as ...

$\dfrac{5}{3}\sum\limits_{n=0}^{5}\left(\dfrac{f(p[n])+f(p[n+1])}{2}\right)$

integral ≈ 14.559027

If you're doing this on a spreadsheet, you can avoid evaluating the function twice at the same point by using a weighted sum. Weights are 1, 2, 2, ..., 2, 1.

__

<u>Midpoint Rule</u>

This rule uses the area of the rectangle whose height is the function value at the midpoint of the interval.

$\dfrac{5}{3}\sum\limits_{n=0}^{5}{f(p[n+\frac{1}{2}])}$

integral ≈ 14.587831

__

<u>Simpson's Rule</u>

This rule gives the result of approximating the function over each double-interval by a parabola. It is like the trapezoidal rule in that the sum is a weighted sum of function values. However, the weights are different. Again, multiple evaluations of the function can be avoided by using a weighted sum in a spreadsheet. Weights for 6 intervals are 1, 4, 2, 4, 2, 4, 1. The sum of areas is ...

$\dfrac{10}{3}\sum\limits_{n=0}^{2}{\left(\dfrac{f(p[2n])+4f(p[2n+1])+f(p[2n+2])}{6}\right)}$

integral ≈ 14.577542

7 0

3 years ago