Which expression represents the intersection of A and B?

Mathematics

1 answer:

Mashcka [7]1 year ago

7 0

Step-by-step explanation:

como dijo Vladimir una paja y a dormir :)

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Which equation could be used to find the length of the hypotenuse ?

k0ka [10]

The pythagorean theorem is $leg^2+leg^2=hypotenuse^2$ . And since 2 and 5 are legs while c variable is the hypotenuse, the equation would be $2^2+5^2=c^2$ , or the first option.

3 0

1 year ago

Read 2 more answers

Use the alternative curvature formula K=|a x v|/|v|^3 to find the curvature of the following parameterized curves.

neonofarm [45]

Answer:

$K=\frac{2}{(4t^{2}+1)^{\frac{3}{2}}}$

Step-by-step explanation:

First of all, we calculate v and a as:

$v(t)=\frac{dr(t)}{dt}=(2t,1,0)$

$a(t)=\frac{dv(t)}{dt}=(2,0,0)$

after that, we compute the cross product and we replace in the formula for k

a(t) X v(t) = (0,0,2)

| a(t) X v(t) | = 2

$| v |^{3} = (4t^{2}+1)^{\frac{3}{2}}$

Hence we have

$K=\frac{2}{(4t^{2}+1)^{\frac{3}{2}}}$

I hope this is useful for you

regards

8 0

2 years ago

Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe

Law Incorporation [45]

The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
y = 4x - 3/2

2. Exchange x and y
x = 4y - 3/2

3. Solve for y
4y = x + 3/2
y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0

1 year ago

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi

Grace [21]

I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.

The hypotenuse is 9 cm. the angle is found by:

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.

cos 60 = x/9

9 cos 60 =x
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x = 4.5 cm

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3 0

2 years ago

Describe the transformation f(x) = √x + 1 − 5 in words. The parent function f(x) = √x has been shifted 1 unit and 5 units.

KATRIN_1 [288]

Answer:

The translation is $1$ unit to the left and $5$ units down