Durant and Westbrook are playing a three-point challenge game to improve long
distance shooting. Each time each of them makes a basket, 3 points are added to
their respective scores. Durant has 18 points and Westbrook has 12 points.
Which of the following options has the pair of explicit formulas that represents the
number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n

Answer:

How to Calculate a Rate. "Rate" simply means the number of things per some other number, usually 100 or 1,000 or some other multiple of 10. A percentage is a rate per 100. Infant mortality rates are calculated per 1,000.

Step-by-step explanation:

Answer:

5 ≤ y

Step-by-step explanation:

Answer:

Taylor will pay $10.75

Step-by-step explanation:

If 1.25 PER/for each/for one pound that means you would multiply. So the equation is 8.6 x 1.25 = 10.75

Hope that helps and have a great day!

Answer:

10.75

Step-by-step explanation: 1.25 times 8.6 is 10.75 so that is the answer.

Answer:

7/2

Step-by-step explanation:

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

3.5

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Answer:

The ball's speed will be 10 m/s at t=1.22 seconds

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

[tex]v_f=v_o-g.t[/tex]

Where g is the acceleration of gravity [tex]g=9.8 m/s^2.[/tex]

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

[tex]\displaystyle t=\frac{v_o-v_f}{g}[/tex]

Substituting:

[tex]\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}[/tex]

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

Answer:

1.23

Step-by-step explanation:

103.32/(7*12)

103.32/84

1.23

the answer in point-slope form is y = 1/4x-2 so your y-intercept is -2 and from there, move up one and right four. your points would be (0, -2) and (4, -1)

hope this helped! :)

Answer:

///////////////////

Step-by-step explanation:

Answer:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

Step-by-step explanation:

We can determine the characteristic equation all we have to do is:

let y' = m, hence y" = m², y'" = m³

Therefore, the higher-order differential equation becomes:

m³ + 3m² + 3m + 1 = 0

(m + 1)(m² + 2m + 1) = 0

(m + 1)(m + 1)(m + 1) = 0

(m + 1)³ = 0

m = -1, -1, -1

Therefore the general solution is given as:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

[tex]c_1,c_2,c_3\ are\ constants.[/tex]

Answer:

the second one :)

Step-by-step explanation:

Answer:

16/24

Step-by-step explanation:

Question 9/12 is equivalent to 3/4

15/20 is equivalent to 3/4

24/32 is equivalent to 3/4

6/8 is equivalent to 3/4

But 16/24 is equivalent to 2/3, not 3/4.

Answer:

1.08

Step-by-step explanation:

.60% *180=108

108/100=1.08%

Answer:

108

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Answer:

30$*3=90$ - its the answer

Step-by-step explanation:

To get the answer we can first divide 60 by 2 to see how much cost 5 burgers. Then we have to multiply that result times 3 to get the answer.

60:2=30$ ----- 5 burgers.

30$*3=90$ - its the answer

Answer:

j

Step-by-step explanation:

Answer:

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

Step-by-step explanation:

Solution:

In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.

The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.

The F test for overall significance has two hypotheses:

1- Null hypothesis:

                              The fit of the intercept only model and your model are equal.

2- Alternative hypothesis:

                               The fit of the intercept-only model is significantly reduced compared to your model.

Compare p-value for the F test,

If the p-value is less than the significance level, the sample data provide sufficient evidence  that the regression model fits the data better with no independent variable.

Answer:

Step-by-step explanation:   2x+y=1

                                               4x+y=9        

we substract equals. 2x=8 so x=4 , y=-7

Answer:

[tex]\%seniors = 16\%[/tex]

Step-by-step explanation:

Given

[tex]Students = 250[/tex]

[tex]Seniors = 40[/tex]

Required

Determine the percentage of seniors

This is calculated as thus;

[tex]\%seniors = \frac{Seniors}{Students} * 100\%[/tex]

[tex]\%seniors = \frac{40}{250} * 100\%[/tex]

[tex]\%seniors = \frac{4000\%}{250}[/tex]

[tex]\%seniors = 16\%[/tex]

Answer:

B. 63.4 yards.

Step-by-step explanation:

Answer:

i think $23.40

Step-by-step explanation:

if she used it for 20 mins then that would be 0.08*20=1.60

25-1.60=23.40

hope this helps :3

sorry if im wrong

Answer:

The algebraic expression is​ 0.90p

Step-by-step explanation:

The presentation of the algebraic expression is​ shown below:

Let us assume that the original price is p.

So,

The Orginal price is P

and the item would be less a 10% discount

So it could be written as 0.10p

Now the required expression could be written as

p - 0.10 p = 0.90p

Hence the algebraic expression is​ 0.90p

The same is to be considered

34555555555555555555555555555555555555

Answer:

Step-by-step explanation:

Answer:

fdsfskdfdsjg,dgkdfjkgjkdfgjkfjkdghdkj

Step-by-step explanation:

Answer:

B=5

Step-by-step explanation:

7+4-2-B=13-9

9-B=4

-B=-5

B=5

Answer:

b ÷ -14 < -25

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

times 6

Answer:

7/17 and 1/9 0r 9/1

Step-by-step explanation:

Answer: m= -8

Step-by-step explanation:

m = 1-17

      9-7

m = -16/2 = -8

m=-8

Answer: No

Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

Answer:

The probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066

Step-by-step explanation:

We are given that The director of the library believes that 13% of the library's collection is checked out.

[tex]\mu = p = 0.13[/tex]

Total no. of books = 774

Standard deviation =[tex]\sqrt{\frac{p(1-p)}{n}}[/tex]

Standard deviation = [tex]\sqrt{\frac{0.13(1-0.13)}{774}}=0.012[/tex]

We are supposed to find  the probability that the proportion of books checked out in a sample of 774 books would be less than 10%

[tex]P(\hat{p}<0.1)\\Z=\frac{x-\mu}{\sigma}\\Z=\frac{0.1-0.13}{0.012}\\Z=-2.48\\P(Z<-2.48)=0.0066[/tex]

So,[tex]P(\hat{p}<0.1)=0.0066[/tex]

Hence  the probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066