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3 years ago

Can someone help meeee?

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

Answer: a: 2^2

Step-by-step explanation:

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How do you find the equation that is perpendicular to 2x-5y=20, passing through the point (7,-8)?

IrinaK [193]

To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y.

2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4

Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept.

y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b

Now use our new slope and new y intercept to write the new equation.

y = -5/2x + 19/2

8 0

3 years ago

A clothing store owner wants to know the proportion of customers who used coupons within the last 2 years. He randomly selects 4

WITCHER [35]

Answer:

The proportion of customers who used coupons within the last 2 years is 0.1089.

Step-by-step explanation:

A proportion is the number of desired outcomes divided by the number of total outcomes.

Proportion of customers who used coupons within the last 2 years.

Desired outcomes:

Number of receipts which are discounted by coupons, which is 49

Total outcomes:

Total number of receipts, which is 450

Proportion:

$P = \frac{49}{450} = 0.1089$

The proportion of customers who used coupons within the last 2 years is 0.1089.

5 0

3 years ago

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give

Andre45 [30]

Answer:

Growth
22%

Step-by-step explanation:

Given function:

$P(t) = 400(1.22)^{t}$

Initial population size is when t = 0

P(0) = 400(1.22)⁰ = 400(1) = 400

The multiple of 1.22 is applied every year, so the ratio of change is:

1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

5 0

3 years ago

Last year, Mrs. Sclair's annual salary was $88,441. This year she

MAVERICK [17]

Answer:

A. she made $1,694.92 weekly last year

B.she makes $1,847.49 weekly this year

C. she makes $152.57 more weekly this year than ast year.

Step-by-step explanation:

3 0

3 years ago

A number a is a root of P(x) if and only if the remainder, when diving the polynomial by x -a, equals zero True or false

Ilia_Sergeevich [38]

True. This is a great way to determine whether a given number is a root of a polynomial.

8 0

3 years ago