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SpyIntel [72]
2 years ago
5

What’s the difference between numbers that are to the power of with parentheses and no parentheses. For example (-2/5)^3 and -2/

5^3. Please explain this rule and thank you.
Mathematics
1 answer:
Verdich [7]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

The first one 'cubes' the denominator AND the numerator:

(-2/5)^3  = -2/5  * -2/5  * -2/5 =  -8/125

The second one 'cubes' only the denominator:

-2/5^3  = -2 / (5 * 5 * 5) =  - 2 / 125

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If g(x)=x^2+4x-5, find g(-4) PLEASE HELP
lana [24]

Answer:

-5

Step-by-step explanation:

g(x)=x^2+4x-5

g(-4)=(-4)^2+4(-4)-5

g(-4)=(-4)(-4)+(-16)-5

g(-4)=16-16-5

g(-4)=0-5

g(-4)=-5

7 0
2 years ago
Raymond is building a fence for a dog run. the dog run will be a rectangle with a length of 24 feet and a width that is 2/5 the
Cerrena [4.2K]

Answer:

The perimeter of the dog run will use 67.2 feet of fencing.

Step-by-step explanation:

First find how long the width is.

24 * 2/5 = 9.6

The width of the fence is 9.6 feet.

To find the total perimeter, add double the length and width.

24 * 2 = 48

9.6 * 2 = 19.2

48 + 19.2 = 67.2

3 0
3 years ago
What is the value of n?
andrey2020 [161]

Answer:

N = 17

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, hence

4n - 2 = 2n + 32 ( subtract 2n from both sides )

2n - 2 = 32 ( add 2 to both sides )

2n = 34 ( divide both sides by 2 )

n = 17

4 0
2 years ago
express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]
Lemur [1.5K]

The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$.

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

To learn more about definite integral refer to:

brainly.com/question/24353968

#SPJ4

8 0
1 year ago
If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2
Finger [1]
The period of a sinusoid \cos 2(x-c) is \dfrac{2\pi}2=\pi, so any range such that \mathrm{Xmax}-\mathrm{Xmin}=2\pi will give two complete periods.
5 0
3 years ago
Read 2 more answers
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