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3 years ago

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!

Mathematics

1 answer:

Maurinko [17]3 years ago

3 0

Answer:

same

Step-by-step explanation:

The maximum of f(x) is 8 because it's written in vertex notation. From the graph, g(x)'s maximum is 8 so the answer is that they have the same maximum.

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Perimeter: about how many units

insens350 [35]

Answer:

Step-by-step explanation: when you add all of the ones in the center up even the ones that aren't complete you get 30.

3 0

3 years ago

111. Dani has $1,000 in an investment account that earns 3% per year, compounded monthly.

tangare [24]

Answer:

$A(t) = 1000(1.0025)^{12t}$

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money in the account after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the number of years the money is invested or borrowed for.

For this problem, we have that:

$P = 1000$

The investment is compounded monthly. There are 12 months in a year. So $n = 12$

The interest rate is 3%. So $r = 0.03$ .

The amount of money in her account after t years is:

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(t) = 1000(1 + \frac{0.03}{12})^{12t}$

$A(t) = 1000(1.0025)^{12t}$

5 0

3 years ago

what is the unit rate of area in square feet of enlarged image per square foot of area of the original

lord [1]

Answer:

Step-by-step explanation:

1/2(2/3)

3/6(4/6)

3(4)

12/6=2

3 0

3 years ago

A k out of n system is one in which there is a group of ncomponents, and the system will function if at least kof the components

iVinArrow [24]

Answer:

0.99145 is the probability that the system will work properly.

Step-by-step explanation:

We are given the following information:

The components function independently of one another.

We treat component working properly as a success.

P(component working properly) = 0.9

Then the number of components follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 5 and x = 3

For the system to function if atleast 3 out of 5 will work properly.

We have to evaluate:

$P(x \geq 3) = 1 - P(x = 1) - P(x = 2) \\=1- \binom{5}{1}(0.9)^1(1-0.9)^4 - \binom{5}{2}(0.9)^2(1-0.9)^3\\=1-0.00045-0.0081\\= 0.99145$

0.99145 is the probability that the system will work properly.

6 0

3 years ago

. Complete the missing steps in the paragraph proof of Theorem 3-8.

Crank

To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or m⟂t
line n is perpendicular to line t or n⟂t

Required:

Prove that line m and n are parallel lines

Solution:

We know that line t is the transversal of the lines m and n.

With reference to the figure above,

∠ 2 and ∠ 6 are right angles by definition of perpendicular lines. This states that if two lines are perpendicular with each other, they intersect at right angles.

So ∠ 2 ≅ ∠ 6. Since corresponding angles are congruent.

Therefore, line m and line n are parallel lines.

ANSWERS: perpendicular lines, corresponding

8 0

3 years ago