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yaroslaw [1]
3 years ago
13

Given that a­­^b = x, evaluate the following: a^2b

Mathematics
2 answers:
Phantasy [73]3 years ago
8 0

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²

Fittoniya [83]3 years ago
7 0

Answer:

x^2

Step-by-step explanation:

a^{2b} = a^{b \times 2} = (a^b)^2 = x^2

Answer: x^2

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Question 4
Irina-Kira [14]

Answer:

40

Step-by-step explanation:

3x^2 + 8x = 2

3x^2 + 8x - 2 = 0

D = b^2+4ac

D = 8^2+4(3)(-2)

D = 64+(-24)

D = 64-24

D = 40

8 0
3 years ago
This graph shows how the length of time a canoe is rented is related to the rental cost . What is the rate of change shown in th
kherson [118]

Answer:

C. $6 per hour.

Step-by-step explanation:

Pick a convenient point on the graph. The rate of change  is the

y coordinate /  x coordinate.

So we pick the point near the top right corner where y = 30 and x = 5 which gives us the answer 30/5 = 6.

6 0
4 years ago
Read 2 more answers
In a poll of 1000 American adults conducted on August 5-9, 2010, 44% (p¯=0.44) of respondents approve the job that President Bar
LuckyWell [14K]

Answer: A) 0.016

Step-by-step explanation:

The standard error is also known as the standard deviation of sampling distribution.

Formula : S.E.=\sqrt{\dfrac{\overline{p}(1-\overline{p})}{n}}

Given : The proportion of respondents approve the job that President Barack Obama was doing handling the economy : \overline{p}=0.44

Sample size : n= 1000

Then, the standard error (SE) of \overline{p} is

S.E.=\sqrt{\dfrac{0.44(1-0.44)}{1000}}\\\\=\sqrt{0.0002464}\\\\=0.0156971\approx0.016

Hence, the standard error (SE) of \overline{p} is 0.016 .

7 0
3 years ago
In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur
miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0
2 years ago
A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate:
Semenov [28]

Answer:

it goes 1.25 km per minute

Step-by-step explanation:

7.5 divided by 6=1.25

3 0
3 years ago
Read 2 more answers
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