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3 years ago

D/dt integral from 0,2x of (e^t+2t)dt is?

1 answer:

8 0

<span>they appear to be using the (2x) as the variable;
so,
</span><span>e^(t) + t^2 ;
now fill in the interval [0,2x]
e^(2x) + (2x)^2 -e^(0)
D{t} [e(2x) +4x^2 - 1]
2e^(2x) + 8x</span>

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A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte

nata0808 [166]

Answer:

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

Step-by-step explanation:

Let be a point $(a,b)\in\mathbb{R}^{2}$ , reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

$d = d'$

$b - 0 = 0 - b'$

$b' = -b$

y-Axis reflection:

$d = d'$

$a - 0 = 0 - a'$

$a' = -a$

If we know that $X (x,y) = (3,2)$ , $Y(x,y) = (5,-1)$ and $Z (x,y) = (-2, 3)$ , the coordinates after both reflections are, respectively:

$X'(x,y) = (-3,-2)$

$Y' (x,y) = (-5,1)$

$Z'(x,y) = (2,-3)$

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

8 0

3 years ago

The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

$Z = \frac{X - \mu}{\sigma}$

$-1.475 = \frac{15.5 - \mu}{\sigma}$

$15.5 - \mu = -1.475\sigma$

$\mu = 15.5 + 1.475\sigma$

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{16.3 - \mu}{\sigma}$

$16.3 - \mu = 1.28\sigma$

$\mu = 16.3 – 1.28\sigma$

From above

$\mu = 15.5 + 1.475\sigma$

$15.5 + 1.475\sigma = 16.3 – 1.28\sigma$

$2.755\sigma = 0.8$

$\sigma = \frac{0.8}{2.755}$

$\sigma = 0.29$

The mean is

$\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93$

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0

2 years ago

1 2 3 4 5 6 7 8 10 Which set of steps will translate f(x) = 67 to g(x) = 67-5-7? Shift f(x) = 6X five units to the left and seve

True [87]

Answer:

Shift f(x) = 6' seven units to the left and five units down.

Step-by-step explanation:

6 0

2 years ago

How do you plot a fraction on a graph that only allows whole numbers?

klio [65]

Answer:

Depends, rise over run could be considered a fraction, or if it's a number that has a whole number like one and 3/4 then you just plot the point to the best of your ability. In other words guess.

8 0

2 years ago

Read 2 more answers

Ms.fox asked her class is the sum of 4.2 and the square root of 2 rational or irrational

goldfiish [28.3K]

It is irrational. Otherwise sqrt(2) would be rational too which is not true.

3 0

3 years ago