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2 years ago

MATH: GRAPHS AND FUNCTIONS 3. HELP! 12 PTS (HARD)

Mathematics

1 answer:

JulijaS [17]2 years ago

4 0

Answer:

Step-by-step explanation:

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Find the coordinates of the point 7/10 of the way from A to B

OverLord2011 [107]

Answer:

(6.8, 1.3)

Step-by-step explanation:

Given:

A(-3, -5), B(11, 4)

Find:

P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

(P -A)/(B -A) = 7/10

10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

10P = 7B +3A . . . . . . . . add 10A to both sides

10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

7 0

3 years ago

Find the values of x and y in triangle ABCD

SVEN [57.7K]

Answer:

x and y = 66.5

Step-by-step explanation:

180-47=133

133/2=66.5

6 0

3 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

3 years ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

stira [4]

Answer:

a) Option A)

$H_{0}: \mu \geq 1503\\H_A: \mu < 1503$

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, $\bar{x}$ = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}$

b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

$\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78$

Thus,

Point estimate of difference = -78

5 0

3 years ago

19. ERROR ANALYSIS Describe and correct the error

Alex17521 [72]

Answer:

34%

Step-by-step explanation:

7 0

4 years ago