Find the roots of the equation (t+1)2 +(t-8)2=45 a.-5,-2 b.3,4 c. 5,2 d. 2,-3

A shower has a flow rate of 2.3 gallons per minute. If a person takes an average of 6 showers per week and the average length of

shusha [124]

Answer:

161,460 gallons are used in a year.

Step-by-step explanation:

1 shower- 2.3×15=34.5

Number of minutes spent in the shower in a week- 15×6=90

Gallons used per week- 34.5×90=3,105

There is 52 weeks in a year.

52×3,105=161,460

8 0

2 years ago

Read 2 more answers

A businessman bought a car dealership that is incurring a loss of $500,000 a year. He decided to strategize in order to turn the

UkoKoshka [18]

The correct answer would be choice A: 1.

When 3 coins are flipped, there are 8 possible outcomes.

0 Tails = 1 ways
1 Tails = 3 ways
2 Tails = 3 ways
3 Tails = 1 ways

If you add up all the different tails, you could get 12 tails. Divide 12 by 8 and you have 1.5 which is the average number of tails you could expect to get by flipping 3 coins.

4 0

2 years ago

Adam, imran and shakeel we're playing a card game. Adam scored × points Imran scored 3 points fewer than Adam Shakeel scored twi

Alex_Xolod [135]

Answer:

Step-by-step explanation:

During the card game, the number of points that Adam scored is x. Imran scored 3 points fewer than Adam. It means that the number of points that Imran scored is

(x - 3) points

I)Shakeel scored twice as many points as imran. It means that the expression for the number of points that Shakeel scored is

2(x - 3) points

Ii) Together they scored 39 points. Therefore, the equation which may be used to find the value of × would be

x + x - 3 + 2(x - 3) = 39

x + x - 3 + 2x - 6 = 39

x + x + 2x - 3 - 6 = 39

4x - 9 = 39

3 0

2 years ago

When dividing with polynomials, the goal is to determine how many times the dividend divides evenly into the?

kkurt [141]

Whether dividing constant terms or polynomials, we always have definitive terms when it comes to division. Suppose we say, 10x divided by 2. The dividend is the 10x and the divisor is the 2. In other words, the dividend is the number to be divided by the divisor, to obtain the answer called the quotient.

When dividing polynomials, your main goal is to be able to divide the dividend evenly into the divisor. For example, we divide x²+2x+1 by x+1. The first thing you're going to focus is, what term will completely divide the first term of the polynomial? That would be x. Why? Because when you multiply x with x+1, the product is x²+x. When you subtract this from the polynomial, the x² will cancel out. All you have to do is subtract x from 2x, yielding x. Then, you carry down the last term of the equation: +1. You do the steps again. The term that will completely divide x+1 by x+1 is 1. When you subtract the two, you will come up with zero. That means there is no remainder. The polynomial is divisible by the divisor.
x + 1
------------------------------------
x+1| x²+2x+1
- x²+x
----------------------
x +1
- x +
------------
0

5 0

2 years ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1 0.1702

28.5 1.0252

28.8 0.5077

29.4 0.0127

29.8 0.0827

30.1 0.3452

30.6 1.1827

----------------------------------------

236.1 3.4088

Mean = 236.1 / 8 = 29.51

$S_{x}=\sqrt{3.4088/(8-1)}=0.6978$

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

$t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861$

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

$t$

Finding in the t distribution table α=0.05 with df=7, we have

$t_{0.05,7}=2.365$

$t>-t_{0.05,7}$ = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0

2 years ago

Find the roots of the equation (t+1)2 +(t-8)2=45a.-5,-2 b.3,4 c. 5,2 d. 2,-3​

Find the roots of the equation (t+1)2 +(t-8)2=45a.-5,-2 b.3,4 c. 5,2 d. 2,-3