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3 years ago

You move up 5 units and down 5 units. You end at (4, -3). Where did you start?

Mathematics

2 answers:

aliina [53]3 years ago

7 0

Answer:

(4, -3) duh

Step-by-step explanation:

Margaret [11]3 years ago

4 0

Answer: 1-,2

Step-by-step explanation: Work backwards.

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Evaluate the integral:

Bogdan [553]

Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then

∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt

… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt

… = 7 ∫ √(1 - sin²(t)) cos(t) dt

… = 7 ∫ √(cos²(t)) cos(t) dt

We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so

√(cos²(t)) = |cos(t)| = cos(t)

and the integral reduces to

… = 7 ∫ cos²(t) dt

Recall the half-angle identity for cosine:

cos²(t) = (1 + cos(2t))/2

Then the integral is

… = 7/2 ∫ (1 + cos(2t)) dt

… = 7/2 (t + 1/2 sin(2t)) + C

… = 7t/2 + 7/4 sin(2t) + C

Get the antiderivative back in terms of x. Recall the double angle identity for sine:

sin(2t) = 2 sin(t) cos(t)

We have t = arcsin(x/√7), which gives

sin(t) = sin(arcsin(x/√7)) = x/√7

cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7

Then

∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C

… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C

5 0

2 years ago

Please solve this step by step! Thanks :>

Semenov [28]

Answer:

47.80

Step-by-step explanation:

jejjdbdiehejee

4 0

3 years ago

21) BRAINLIEST AND 10+ POINTS!! <br><br> PLS HELP ASAP :)

Varvara68 [4.7K]

9.4 years would be the answer

5 0

4 years ago

Find the slope y-intercept and equation for the data in the table and in the graph can someone please help me

irakobra [83]

Answer:

The y-intercept is 0

The equation is y=3x

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

Observing the table

For x=0, y=0

therefore

b=0

Find the slope between the points (0,0) and (1,3)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{3-0}{1-0}$

$m=3$

the equation is equal to

$y=3x+0$

$y=3x$

6 0

3 years ago

A ski lift is designed to hold 20,000 pounds, and claims a capacity of 100 persons. suppose the weights of all people using the

alex41 [277]

<span>A ski lift is designed to hold 20,000 pounds, and claims a capacity of 100 persons. suppose the weights of all people using the lift have a mean of 190 pounds and with a standard deviation of 45 pounds. what is the probability that a random group of 100 people will total more than the weight limit of 20,000 pounds?

Given data:
Capacity, x=20,000 lbs
n=100
μ=190
σ=45
&se;=σ/sqrt(n)=45/sqrt(100)=4.5
s=population mean
population μ and σ are both known, use SE normally distributed.
P(s≤x/n)=P(s≤200)=Z((200-190)/4.5)=Z(2.222)=0.98687
=>
P(s≥x/n)=1-P(s≤x/n)=1-0.98687=0.01313

Answer: probability of 100 people exceeding 20,000 lbs is 1.313%</span>

4 0

4 years ago