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3 years ago

What is the power of 15 ------------------

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

Answer:

If something is "to the power of 15" then it means it is multiplied by itself 14 times (one less than 15 as the original number is already to the power of 1).

An example:

So 2 to the power of 15, which we write as 215 = 2 * 2 * 2 * 2 etc... (so we have 15 written 2's in total meaning we will make 14 multiplications) is equal to 32,768.

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The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.

garri49 [273]

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

3 0

3 years ago

Find the x-coordinates of the points where the graph crosses the x-axis.<br> y = (x - 3)(x + 8)

sleet_krkn [62]

Answer:

The x-coordinates of the points are x = 3 and x = - 8.

Step-by-step explanation:

We have to find the x-coordinates of the points where the graph of equation y = (x - 3)(x + 8) crosses the x-axis.

Now, the x-intercept of a function implies that y = 0 {Because on x-axis, y-value is zero}

Hence, (x - 3)(x + 8) = 0

⇒ (x - 3) = 0 and (x + 8) = 0

⇒ x = 3 and x = - 8

Therefore, the x-coordinates of the points are x = 3 and x = - 8. (Answer)

6 0

3 years ago

The total cost to produce x handcrafted wagons is C(x) = 110 + 7x - x^2 + 2x^3. Find the marginal cost when x = 8.

nataly862011 [7]

<h2>Answer:</h2>

The marginal cost when x=8 is:

375

<h2>Step-by-step explanation:</h2>

We know that the marginal function for a cost function C(x) at x=a

is given by:

C'(x) at x=a

Here we have the cost function C(x) as:

$C(x)=110+7x-x^2+2x^3$

Now we find the derivative of C(x) with respect to x.

i.e.

$C'(x)=0+7-2x+6x^2$

( Since,

$\dfrac{d}{dx} x^n=nx^{n-1}$ )

$C'(x)=7-2x+6x^2$

Hence, we get:

$C'(8)=7-2\times 8+6\times (8)^2\\\\i.e.\\\\C'(8)=7-16+384\\\\C'(8)=375$

8 0

3 years ago

FIRST PERSON TO ANSWER CORRECTLY GET MARKED BRAINLY

Andru [333]

Answer:

the first one

Step-by-step explanation:

2x+у=3

3x-y=2

6 0

3 years ago

Given:

Fynjy0 [20]

Answer:

Option B is correct.

$\triangle RST \cong \triangle TUR$

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒ $TU \cong RS$ and $TS \cong RU$

In triangle RST and triangle TUR

$RS \cong TU$ [Side]

$TS \cong RU$ [Side]

$RT \cong RT$ [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

$\triangle RST \cong \triangle TUR$

5 0

4 years ago