Help i need answers for these problems pls

r-ruslan [8.4K]

$\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9$

3 0

3 years ago

Read 2 more answers

Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

3 years ago

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilatio

Juliette [100K]

The answer choice which is the characteristic of dilations comparing both segments is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image

<h3>Which answer choice compares segment E'F' to segment EF?</h3>

By consider the coordinates of the quadrilaterals EFGH and E'F'G'H' as given in the task content image, it follows that the coordinates are as follows;

E(0, 1), F(1, 1), G(2, 0), and H(0, 0)

E'(-1, 2), F'(1, 2), G'(3, 0), and H'(-1, 0)

Upon computation of the length of the segments, it follows that the two segments are in proportions. Hence, the answer choice which is correct is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Remark:

A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
A segment in the image has the same length as its corresponding segment in the pre-image.
A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Read more on length of segments;

brainly.com/question/24778489

#SPJ1

3 0

1 year ago

A truck fuel can hold 44 gallons of gasoline. If 6.78 gallons of gasoline are in the tank how many more gallons are needed to fi

SSSSS [86.1K]

Answer: 38.22

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

G Blue Ribbon taxis offers shuttle service to the nearest airport. You look up the online reviews for Blue Ribbon taxis and find

Dominik [7]

Answer:

This is a biased sampling method for obtaining customer opinions because those who take the time to write an online review are likely to do so because they are upset with the service they received.
The direction of the bias is likely to overestimate the proportion of customers who have a negative opinion on the service.

Step-by-step explanation:

1) There are groups which are not represented in the survey like those who don't use web. And also those who take the time to write an online review are likely to do so because they are upset with the service they received.

2) Those who had negative experience are more likely to write a review than those who had not.

4 0

2 years ago