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2 years ago

The ratio of muscisians to actors was 2 to 5. If there were 28 musicians, how many actors were there?

Mathematics

1 answer:

julsineya [31]2 years ago

5 0

2•14=28 which is the musicians

5•14=70 which would be the actors

The ratio would be 28:70

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V(d)V, left parenthesis, d, right parenthesis models Aria's vertical distance from the top of the valley (in kilometers) after w

scoray [572]

Aria's vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.

Since Here d represents distance along the trail.

And, V(d) represents the vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail.

If the distance along the trial is 3 km.

That is, d = 3

Then the vertical distance she walked from the top of the valley = V(3)

But According to the question,

V(3) < 3

Her vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.

Hence, For going 3 km along the trail her vertical distance from the top of the valley is less than 3.

Learn more about Vertical Distance at:

brainly.com/question/4493830

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1 year ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Tasya [4]

Answer:

$\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]$

Step-by-step explanation:

Given function:

y = $\ln(\frac{(6 - x)^{\frac{3}{2}}}{x^{\frac{2}{3}}})$

we know

$\ln(\frac{A}{B})$ = ln(A) - ln(B)

thus,

y = $\ln((6 - x)^{\frac{3}{2}}) - \ln(x^{\frac{2}{3}})$

also,

ln(Aⁿ) = n × ln(A)

thus,

y = $(\frac{3}{2})\times\ln(6 - x) - (\frac{2}{3})\times\ln(x)$

therefore,

$\frac{dy}{dx}=[(\frac{3}{2})\times\frac{1}{(6-x)}\times(0 - 1)] - [ (\frac{2}{3})\times\frac{1}{x}\times1]$

$\frac{dy}{dx}=-(\frac{3}{2(6-x)}) - (\frac{2}{3x})$

$\frac{dy}{dx}=-[(\frac{3(3x)+2\times2(6-x)}{2(6-x)\times(3x)})]$

$\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]$

5 0

3 years ago

ILL GIVE U BRAINLEST

andreev551 [17]

Answer:

it is A

Step-by-step explanation:

8 0

3 years ago

Camilo estimates the weight of the dog . The veterinarian says that the dog weighs 84 pounds . The percent error in Camillo's es

blsea [12.9K]

Answer:

The estimated weight is in the range:

75.6 pounds $\leq$ Weight $\leq$ 92.4 pounds

Step-by-step explanation:

Since, the maximum error is 10%.

Therefore, the maximum and minimum vales will be 10% more and 10% less than 84 pounds, respectively.

For Maximum Limit:

$Weight_{max}$ = (1.1)(84 pounds)

$Weight_{max}$ = 92.4 pounds

For Minimum Limit:

$Weight_{min}$ = (0.9)(84 pounds)

$Weight_{min}$ = 75.6 pounds

Hence, the estimated weight is in the range:

75.6 pounds $\leq$ Weight $\leq$ 92.4 pounds

5 0

3 years ago

What is the vertex form of y=-2x2+4x + 3?

sukhopar [10]

Answer:

$y=-2(x-1)^2+5$

Step-by-step explanation:

we have

$y=-2x^2+4x+3$

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

$y=-2(x^2-2x)+3$

step 2

Complete the square

$y=-2(x^2-2x+1)+3+2$

$y=-2(x^2-2x+1)+5$

step 3

Rewrite as perfect squares

$y=-2(x-1)^2+5$ ----> equation in vertex form

The vertex is the point (1,5)

3 0

3 years ago