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2 years ago

Select all ratios equivalent to 5:3. 13:9 9:15 20:12

Mathematics

2 answers:

pogonyaev2 years ago

8 0

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

torisob [31]2 years ago

7 0

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

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Liza opens a new savings account. Assuming she deposits $15 every week, which equation represents the balance, y, of the savings

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3 years ago

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The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t

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Answer:

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.

The area for an equilateral triangle is given by:

$\displaystyle A=\frac{\sqrt{3}}{4}s^2$

Where s is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.

Therefore, our volume is:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx$

Substitute:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx$

Evaluate the integral. Simplify:

$\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx$

Integrate using u-substitution:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)$

Evaluate:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)$

Therefore, the volume of the solid is:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)$

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3 years ago

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Answer:

-5

Step-by-step explanation:

Plug in 3 as x:

g(x) = -x - 2

g(3) = -3 - 2

g(3) = -5

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3 years ago

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Write a numerical expression that has a value equal to each number from 1 through 30. In each expression, use each of four conse

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Answer:

See Explanation

Step-by-step explanation:

Required

Use any 4 consecutive digit from 0 to 9 to form an expression that equals 1 through 30

There is no formula to answer this question. All we need to do is, apply trial by error method to for each expression.

Possible expression and their results are:

$- 1 + 2 * 3 - 4 = 1$

$1 + 2 + 3 - 4 = 2$

$0 * 3 + 1 + 2 = 3$

$0 * 2 + 1 + 3 = 4$

$1 * 3 + 4 - 2 =5$

$0 + 1 + 2 + 3 = 6$

$0 + 1 + 2 * 3 = 7$

$3 + 4 - 5 + 6 = 8$

$1 * 2 + 3 + 4 =9$

$1 + 2 + 3 + 4 =10$

$2^3 + 4 - 1 = 11$

$5 + 6 - 7 + 8 =12$

$4^2 - 3 * 1 = 13$

$2 + 3 + 4 +5=14$

$2 * 3 +4 + 5 = 15$

$4 * (3 - 1)^2 = 16$

$3 * 5 + 4/2 = 17$

$3 + 4 + 5 + 6 = 18$

$2 + 3 * 4 + 5 = 19$

$3 + 2^4 + 1 = 20$

$4 * 5 - 6 + 7 = 21$

$4 + 5 + 6 + 7 =22$

$3 * 4 + 5 + 6 = 23$

$5^2 -4 + 3 = 24$

$2^5 - 4 - 3 = 25$

$5 + 6 + 7 +8 = 26$

$\frac{3^4}{5-2} =27$

$5 * 4 + 2^3 = 28$

$3 + 4 * 5 + 6 = 29$

$6 + 7 + 8 +9 = 30$

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2 years ago