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3 years ago

Which expressions are equivalent to (d^1/8) ^5

Mathematics

1 answer:

Tanya [424]3 years ago

8 0

Answer:

Formula used : (a^m)^n = a^(m×n)

$→{( {d}^{ \frac{1}{8} }) }^{5} = {d}^{( \frac{1}{8}\times 5) } = \boxed{{d}^{ \frac{5}{8} } }✓ \\$

d^⅝ is the right answer.

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A campground has cabins that can each hold 28 campers there are 148 campers visiting the campground.how many cabins are full if

Rainbow [258]

For this case, the first thing we must do is define variables.

We have then:

x: number of cabins

y: number of campers

We now write the equation that models the problem:

$y = 28x$

We know that there are 148 campers.

Therefore, substituting y = 148 in the given equation we have:

$148 = 28x$

From here, we clear the value of x:

$x = \frac{148}{28}\\x = 5.29$

Therefore, the number of full cabins is:

$x = 5$

Answer:

The number of full cabins is:

$x = 5$

6 0

3 years ago

Read 2 more answers

What is the unit rate for 16 ounces (pint) at $3.93?

Juli2301 [7.4K]

Answer:

25 cents/ounce

Step-by-step explanation:

The unit rate means how much is one of the thing you are working with. In this case, the unit rate of a pint (16 ounces) is how much just one ounce will cost. So divide $3.93 by 16

$3.93/16 = $0.245625

Since we're working with money, round to the nearest hundredth

Unit rate is $0.25 per ounce, or 25 cents per ounce

8 0

3 years ago

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Pleaseeeee helppppp

IRINA_888 [86]

Answer:

(a) (6, 2)

Step-by-step explanation:

The system of equations has one of them in y= form, so it lends itself to solution by substitution.

Using the equation for y to substitute into the first equation, we have ...

2x -y = 10

2x -(-1/2x +5) = 10 . . . . . substitute for y

2x +1/2x -5 = 10 . . . . . eliminate parentheses

5/2x = 15 . . . . . . . . . add 5, collect terms

x = 6 . . . . . . . . . . . multiply by 2/5

Using the equation for y, we have ...

y = -1/2(6) +5 = -3 +5

y = 2

The solution is (x, y) = (6, 2).

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2 years ago

Find the perimeter

Inga [223]

Answer:

Step-by-step explanation:

Perimeter= 4S

Perimeter= 4(5)

Perimeter= 20

Perimeter 2= 2(L+W)

Perimeter 2= 2(11+7)

Perimeter 2= 22+14

Perimeter 2= 36

Total Perimeter= P1+P2

Total Perimeter= 20+36

Total Perimeter= 56

6 0

3 years ago

Attached as photo. Please help

Effectus [21]

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a) (1)

The steps of Euler's method are summarized below:

Define the function seen in the statement by the label f(x₀, y₀).
Determine the different variables by the following formulas:

xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3)
Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the numerical approximation of the definite integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

#SPJ1

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2 years ago