MATHEMATICS COLLEGE

How would I do this?

Answers

Answer 1

Answer:

Answer:

14 to the 10th power

Step-by-step explanation:

If two exponents have the same base, you can subtract them if they're being divided.

In your case:

14 to the 15th power/14 to the 5th power

We can subtract:

15 - 5 = 10

So our final answer would be:

14 to the 10th power

(the fourth answer)

Hope this helps!

Answer 2

Answer:

Answer:

14¹⁰

Step-by-step explanation:

14¹⁵ divided by 14⁵ equals 14¹⁰

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Kimberly is a program director for the channel KID. She tracked the cartoons shown on the channel for a week. The probability that the show had animals in it was 0.7. The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
What is the solution to x+5>-7

63x^18/9x^2 simplified

Answers

Answer:

7x^16. Step-by-step solution in the attachment.

Use a commutative property to complete the statement 2x + 16

Answers

Answer:

2(x+8)

Step-by-step explanation:

5/32 × 64y/100 please help :,)

Answers

Answer: y/10

Step-by-step explanation: step 1 = simplify y/100

step 2 = (5/32 x 64) x y/100

step 3 = simplify 5/32

step 4 = (5/32 x 64) x y/100

step 5 = The answer is y/10

Find the critical points, domain endpoints, and local extreme values for the functiony=x^2/5(x+3)

a. What is/are the critical point(s) and domain endpoint(s) where f' is undefined?
b. What is/are the critical point(s) and domain endpoint(s) where f' is 0?
c. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local maxima?
d. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local minima?

Answers

Answer:

a) $x = -3$ , b) $x = 0$ , $x = -6$ , c) $x = 0$ , d) $x = -6$

Step-by-step explanation:

a) Let derive the function:

$f'(x) = (10\cdot x \cdot (x+3)-5\cdot x^(2))/(25\cdot (x+3)^(2))$

$f'(x)$ is undefined when denominator equates to zero. The critical point is:

$x = -3$

b) $f'(x) = 0$ when numerator equates to zero. That is:

$10\cdot x \cdot (x+3) - 5\cdot x^(2) = 0$

$10\cdot x^(2)+30\cdot x -5\cdot x^(2) = 0$

$5\cdot x^(2) + 30\cdot x = 0$

$5\cdot x \cdot (x+6) = 0$

This equation shows two critical points:

$x = 0$ , $x = -6$

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that $x = 0$ corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that $x = -6$ corresponds to a local minimum. (See Attachment)

Angle 1 is congruent to angle 2 prove p is parallel to q

Answers

You'll need 2 more lines to complete this two column proof.

---------------------

Line 4

For the "statement" portion, you'll say something like $\angle 2 \cong \angle 3$

The reason for this statement is "transitive property"

We're basically combining lines 1 and 3 to form this new line.

The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.

---------------------

Line 5

The statement is what you want to prove since this is the last line.

So the statement is $p || q$

The reason is "converse of corresponding angles theorem"

As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".

Final answer:

To prove that lines P and Q are parallel based on congruent angles, utilize the geometric understanding that if a transversal intersects two parallel lines, the corresponding angles are congruent. Given that angle 1 is congruent to angle 2, we can infer that the lines forming these angles (P and Q) are parallel.

Explanation:

To prove that the lines P and Q are parallel using the fact that angle 1 is congruent to angle 2, you will utilize the concept of congruent angles. When two parallel lines are intersected by a transversal, the corresponding angles are congruent. Therefore, if we know that angle 1 is congruent to angle 2, we can say the lines forming these angles are parallel.

Here are the steps:

Identify the given congruent angles (angle 1 and angle 2).
Identify the lines that form these angles, which are lines P and Q in this case.
Remember, by the corresponding angles postulate, if a transversal intersects two parallel lines, then the corresponding angles are congruent.
We have given that angle 1 is congruent to angle 2. So, the lines forming these angles, P and Q, are parallel.

This process uses reasoning of the geometry and reviews the core concept of parallel lines and transversals in proving that P is parallel to Q.

Learn more about Geometric Proof here:

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a engine supplies 120 hp to an electric generator and the generator delivers 80 hp of electrical power . What is the efficiency of the generator ?

Answers

56 mph + 89 = idont know any thing

Final answer:

The electric generator has an efficiency of approximately 66.67%, which means that 66.67% of the input energy is converted into usable electrical power.

Explanation:

The question wants to know about the efficiency of an electric generator. The efficiency of any engine or generator is defined as the ratio of useful energy output to the energy input. In this case, the energy input to the generator is 120 hp (horsepower) and the useful energy output (i.e electrical power) is 80 hp.

The formula used to calculate the efficiency is: Efficiency = (useful energy output / energy input) * 100% , Using this formula, the efficiency of the generator would be (80 / 120) * 100% = 66.67 % .

This means that 66.67% of the energy supplied to the generator is successfully converted into electrical power, while the rest is likely lost as heat or other forms of non-usable energy.

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