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scZoUnD [109]
2 years ago
7

I don’t know what to do

Mathematics
1 answer:
n200080 [17]2 years ago
4 0

Answer:

x = 7

y = 12

Step-by-step explanation:

To do this question you have to know your exponent rules, but also you need to know how to add fractions.

To multiply

6^(1/3) × 6^(1/4)

you can keep the 6 and just add the exponents.

That's why the answer is set up on the form 6^(x/y)

To add fractions, you need a common denominator, it is 12.

1/3 is 4/12.

1/4 is 3/12.

So 1/3 + 1/4

is the same as:

4/12 + 3/12

= 7/12

7/12 is the exponent you are looking for.

x = 7 and y = 12.

6^(1/3) × 6^(1/4)

=6^(7/12)

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Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges
BartSMP [9]

Answer:

  25

Step-by-step explanation:

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

  y = 75 +7x . . . . . cost for x students to visit the science center

  y = 50 +8x . . . . cost for x students to visit the natural history museum

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Subtracting the first equation from the second, we get ...

  0 = -25 +x

  25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

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<em>Additional comment</em>

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...

  $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

4 0
2 years ago
Write a two column proof
Annette [7]

4y=2x-10 and y=6

use the second expression to calculate the left-hand side of the first equation:

4\cdot 6 = 2x -10\\24 = 2x -10

Add 10 to both sides if this equation to get

34 = 2x

and divide both sides by 2

17 = x

this proves that x = 17, give the two initial equations

8 0
2 years ago
Eden just bought a trough in the shape of a rectangular prism for her horses. She needs to know what volume of water to add to t
notsponge [240]

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
1 year ago
The middle person in a row is the 18th, how many persons are in the row?
Alex17521 [72]

Answer:

35

Step-by-step explanation:

You have 17 either side to make 18 the middle e.g if 2 was the middle then you have 1 either side.

3 0
2 years ago
Read 2 more answers
A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.
Wewaii [24]

Answer:

  • The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.
  • The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).
  • The volume (V) of a sphere can be calculated as \frac{4\pi r^3}{3}, where r is the radio. In this case, the volume of the sphere will be \frac{4\pi\times16^3}{3}=\frac{4\pi\times4096}{3}, which is also equal to \frac{16384\times\pi}{3}.

6 0
3 years ago
Read 2 more answers
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