Can someone help me with these questions?

What is the slope of the line that passes through points (-4, 5) and (3, -2)?

kherson [118]

Answer:

-1

Step-by-step explanation:

Complete y2 - y1 over x2 - x1 with your given points:

-2 - 5 = -7

_____ ____

3 - (-4) = 7

= ⁻⁷⁄₇ = -1 Simplify to lowest term

7 0

3 years ago

1+cos(8x)= A.4cos(2x) B.2cos^2(4x) C.4sin(2x) D.2sin^2(4x)

REY [17]

Answer:

bro please send in a picture format so that it could be more easier

4 0

4 years ago

Frank bought a suit on sale for $493. this price was 15% less than the original price.what was the original price?

Lelechka [254]

(100/15)x493=$3286.67 (rounded to 2 decimal places)

The one above is wrong.
This is the correct way:
(100/85)×493=580
Correct answer is $580

7 0

3 years ago

Pllzzzz help asap 50 point

Eddi Din [679]

Answer: See explanation

Step-by-step explanation:

You have to remeber that x to the power of r/q is the same thing as the qth root of x to the power of r.

For the second one, you would have the cubic root of 2 to the power of 2, or 4. So, your answer would be $\sqrt[3]{4}$ .

For the third one, you would have the square root of 3 to the power of 3, or 27. So, your answer would be $\sqrt[2]{27}$ .

For the fourth one, you would have the cubic root of 3 to the power of 1, or 3. So, your answer would be $\sqrt[3]{3}$ .

Hope this helps! :)

3 0

2 years ago

Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation from bottle to bottle because

marshall27 [118]

Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

Step-by-step explanation:

From data and excel (or any statistics calculator) we get:

X = 249,6 ml and s 1,26 ml

Sample mean and sample standard deviation respectively.

Population mean μ₀ = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis H₀ X = μ₀

Alternative Hypothesis Hₐ X ≠ μ₀

We also know that sample size is 8 therefore df = 8 - 1 df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n) ⇒ 249,6 ± 2,365 * ( 1,26/√8 )

249,6 ± 2,365 * (1,26/2,83) ⇒ 249,6 ± 2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being fill withing the spec. We accept H₀

7 0

3 years ago