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2 years ago

Can y’all help me on a question 15?!

Mathematics

2 answers:

amid [387]2 years ago

6 0

I think it would be D

timofeeve [1]2 years ago

4 0

Answer:

=> To Find:

=>Two to the fifth power plus seven squared

=> 2⁵

=> 2⁵ + 

=> -----------------------------------------------------------------

=> 2⁵ + 7²

Hence, 2⁵ + 7² is the answer

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The sum of two consecutive even integers is 66. Find the numbers.

evablogger [386]

Let the consecutive even numbers be n and n+2.
From given condition,
n + n+2 = 66
2n = 64
∴ n = 32.
Therefore, the two consecutive even numbers are.
n = 32 and n+2 = 34.

4 0

3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times a

LenaWriter [7]

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

3 0

2 years ago

What is the dependent and independent variable(s) of f(x) = 4x + 3?

elixir [45]

The answer is X=-3/4

6 0

2 years ago

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What is the prime factorization of the number 60?

kobusy [5.1K]

The prime Factorization of 60 is 2,2,3,5!!

5 0

3 years ago

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