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3 years ago

A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),

Mathematics

2 answers:

anygoal [31]3 years ago

8 0

Answer:

D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3)

Step-by-step explanation:

Adding (-1, 2) to each of the coordinates gives ...

D +(-1, 2) = (-1-1, 3+2) = D'(-2, 5)

E +(-1, 2) = (4-1, 3+2) = E'(3, 5)

F +(-1, 2) = (4-1, 1+2) = F'(3, 3)

G +(-1, 2) = (-1-1, 1+2) = G'(-2, 3)

serg [7]3 years ago

3 0

Answer:

The answer is B.

Step-by-step explanation:

I got it correct on Edge 2020

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Hello, Brainly community!

ioda

Answer:

(B) $\displaystyle \frac{W(3.1) - W(2.9)}{0.2}$

General Formulas and Concepts:

Calculus

Limits

Derivatives

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Instantaneous Rates

Tangent Line: $\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Since we are trying to find a rate at which W(t) changes, we must find the derivative at t = 3.

We are given 2 close answer choices that would have the same numerical answer but different meanings:

(A) $\displaystyle \lim_{t \to 3} W(t)$
(B) $\displaystyle \frac{W(3.1) - W(2.9)}{0.2}$

If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the rate at which the volume would be changing and it is not a derivative.

If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a derivative at t = 3, and a derivative tells us what rate something is changing.

∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when t = 3.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

8 0

2 years ago

What critical value of t should be used for a 95% confidence interval for the population mean based on a random

Liula [17]

Answer:

did you get this answer yet?

3 0

2 years ago

What is the answer to 1.1x + 1.2x - 5.4 = -10

lord [1]

1.1x+1.2x-5.4=-10

11/10x+12/10x-54/10=10

11x/2.5+2^2-1*3/5x-3^3/5=-10

(11x)+2(2*3x)+2(-3^3)/2*5=-10

11x+2(6x)+2(-27)/2*5=-10

11x+2*6x-2*27/2*5=-10

11x+12x-54/2*5=-10

23x-54/2*5=-10

23x-54=-100

23x=-46

23x/23=-46/23

x=-2*23/23

x=-2

8 0

3 years ago

Read 2 more answers

The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

dimulka [17.4K]

Answer:

99% CI:

$-4.637\leq\mu_v-\mu_o\leq 3.737$

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}$

The MSE can be calculated as

$MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65$

The weighted sample size nh can be calculated as

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16$

The standard deviation then becomes

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623$

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

$\Delta M=M_v-M_o=5.10-5.55=-0.45$

Then the confidence interval can be constructed as

$\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737$

8 0

3 years ago

(Due in 20 minutes!)

klasskru [66]

Answer:

1.5

18 and 33

Step-by-step explanation:2.

5 0

2 years ago