MATHEMATICS COLLEGE

Which expression is equivalent to b^m x b^n? A. b^m+n B. b^m-n C. b^mx n D. b^m/n

Answers

Answer 1

Answer:

Answer:

The expression which is equivalent to

$\rightarrow b^m * b^n\n\n=b^(m+n)\n\n\rightarrow x^a*x^b=x^(a+b)$

Option A

Answer 2

Answer: The formula for multiplying exponents are such below.

(b^m)^n = b^mn
b^m/b^n=b^(m-n)
b^m x b^n=b^(m+n)

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I really don't know how to calculate this question.

(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)

Answers

Answer:

$9\,\sin(60^\circ)$ , which is equal to $\displaystyle (9√(3))/(2)$ .

Step-by-step explanation:

An angle of $45^\circ$ corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

$\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1$ .

Let $A$ denote the measure of an angle. Double-angle identity for sine:

$2\, \sin(A) \cdot \cos(A) = \sin(2\, A)$ .

By this identity:

$\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \n &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \n &= 3\, \sin(2 * 30^\circ) \n &= 3\, \sin(60^\circ)\end{aligned}$ .

( $A = 30^\circ$ in this instance.)

Hence:

$\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \n &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \n &= 9\, \sin(60^\circ)\end{aligned}$ .

$\displaystyle \sin(60^\circ) = (√(3))/(2)$ . Therefore, $\displaystyle 9\, \sin(60^\circ) = (9 √(3))/(2)$ .

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.

Answers

Answer:

H₀:μ = 550 vs. Hₐ:μ < 550.

Step-by-step explanation:

A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.

The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.

A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.

The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:

H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.

Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.

The mean of three numbers is 9. the mode of the same three numbers is 7.what is the largest number.

Answers

Answer:

Step-by-step explanation:

9>7

Hopefully, this helps! :D

Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.

Answers

Answer:

No I do not agree. -2 is closer to 0 than -5

Step-by-step explanation:

-5 -----------> -2---------> 0

Alice solved the following equation:-18 - 3x = 12
-3x = 6
x =-2

Which of the following statements is true?

Answers

Answer:

the first line

Step-by-step explanation:

because the second line should be -3x=30

at the same time a 15 foot pole casts a 7.5 foot shadow a nearby tree casts an 11 foot shadow how tall is the tree

Answers

answer: 22

15/7.5 = x/11

cross multiply

7.5x = 165

divide by 7.5 on both sides to get the x alone

7.5x/7.5 = 165/7.5

x = 22

the tree is 22 feet

sorry if it’s wrong

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