1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
3 years ago
15

If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] ^2.

Mathematics
2 answers:
otez555 [7]3 years ago
8 0
Evaluate each
f(2)=2^2+1=4+1=5
g(1)=3(1)+1=3+1=4

[f(2)-g(1)]^2=(5-4)^2=1^2=1

answer is first one
otez555 [7]3 years ago
7 0
The answer is the first one
You might be interested in
N-8+n=1-4n solve for n​
MrRissso [65]

Answer:

n=-N/5+9/5

Step-by-step explanation:

3 0
3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees i
sukhopar [10]

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired <em>t</em>-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The incentive program does not cuts down on the number of days missed by employees, i.e. <em>d</em> ≥ 0.

<em>Hₐ</em>: The incentive program cuts down on the number of days missed by employees, i.e. <em>d</em> < 0.

From the information provided the data computed is as follows:

 n=10\\\bar d=-1.1\\SD_{d}=2.99

Compute the test statistic value as follows:

 t=\frac{\bar d}{SD_{d}/\sqrt{n}}

   =\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

p-value=P(t_{n-1}

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

4 0
3 years ago
Complete the equation: x^2+8x + _=(_)^2
pentagon [3]

Answer:

x^2+8x+<u>1</u><u>6</u><u>=</u><u>(</u><u>x-4</u><u>)</u><u>^</u><u>2</u>

<em><u>EXPLANATION</u></em><em><u>:</u></em>

<u>(</u><u>a</u><u>+</u><u>b</u><u>)</u><u>^</u><u>2</u><u>=</u><u>a2</u><u>+</u><u>2</u><u>.</u><u>a</u><u>.</u><u>b</u><u>+</u><u>b2</u>

<u>we</u><u> </u><u>have</u><u> </u><u>to</u><u> </u><u>break</u><u> </u><u>the</u><u> </u><u>middle</u><u> </u><u>term</u><u> </u><u>i</u><u>n</u><u> </u><u>2</u><u>a</u><u>b</u><u> </u><u>here</u><u> </u><u>a</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>then</u><u> </u><u>2</u><u>x</u><u>b</u><u>=</u><u>8</u><u>x</u><u>,</u><u> </u><u>=</u><u>></u><u> </u><u>b</u><u>=</u><u>4</u><u>,</u><u> </u><u>but</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>and</u><u> </u><u>b</u><u> </u><u>to</u><u> </u><u>get</u><u> </u><u>the</u><u> </u><u>req</u><u>uired</u><u> </u><u>equation</u><u>!</u>

8 0
3 years ago
Please help will give brainlesit
Alona [7]

Step-by-step explanation:

24:X::36:12

( product of means = product of extremes )

24×12=36×x

288=36x

288/36=X

8=X. Answer

hope it helps

6 0
3 years ago
Other questions:
  • Mr. Watkins earns $35 an hour at his new job. During a typical month, he works a total of 160 hours. Mrs. Watkins is a homemaker
    12·1 answer
  • (23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health
    5·1 answer
  • 12 7/12 subtracted by 5 14/5
    12·1 answer
  • Shannon is making three different sizes of blankets from the same material. The first measures 2.5 feet by 2 feet. She wants to
    14·1 answer
  • Choose all sets contAining the number -1.576
    15·2 answers
  • Aiden attended school for 408 minutes, played basketball for 138 minutes, and worked on homework for 111 minutes. Estimate how m
    7·1 answer
  • For each problem, find the missing value using the Pythagorean Theorem
    12·1 answer
  • You flip three coins and want to explore the probabilities of certain events
    11·1 answer
  • Plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeee pwez
    15·2 answers
  • A) 4+10+8=<br> B) 5-9+1=<br> C) -8-2+3=<br> D) -15+8-7=<br> E) 24+6-12=<br> F) 18-3-21=
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!