Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?

Answer:

[tex]Rate = 9(t+1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 9x^2 - 2[/tex]

[tex]Interval = [1,t][/tex]

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [1,t][/tex]

So, we have:

[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]

Solve for f(t) and f(1)

[tex]f(t) = 9t^2 - 2[/tex]

[tex]f(1) = 9*1^2 - 2[/tex]

[tex]f(1) = 9 - 2[/tex]

[tex]f(1) = 7[/tex]

So, we have:

[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]

[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]

Factorize:

[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]

Apply difference of two squares

[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]

[tex]Rate = 9(t+1)[/tex]

Answer:

they all are super cute.

yes! thanks for free points.

Answer:

x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i

Step-by-step explanation:

Answer:

Option C. y = -2x + 3

Step-by-step explanation:

When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3).  From this we know that the function we are looking for will be looking like...

y = mx + 3

And as I said earlier since the slope is negative, the only right option is this case will be Option C

Answer:

The correct anwer is (C) : y = - 2x + 3

Answer:

1.52%

Step-by-step explanation:

Answer:

8606.4 Miles

Step-by-step explanation:

Since we know that each lap was the same length, we can do 137,702.4/16 and get 8606.4

Answer:

8606.4

Step-by-step explanation:

Answer:

[tex]26 \div 1690 \\ = 0.0154[/tex]

Answer:

it's definitely F .. Your welcome

Answer:

n = 129

Step-by-step explanation:

Reference angle = 60°

Hypotenuse = n

Adjacent side = 64.5

Apply CAH, which is:

Cos 60 = adj/hyp

Cos 60 = 64.5/n

Multiply both sides by n

n×Cos 60 = 64.5

Divide both sides by cos 60

n = 64.5/Cos 60

n = 64.5/0.5

n = 129

Answer:

15.12

Step-by-step explanation:

3.6 x 4.2

first aline the decmials like you would regularly do to multiply.

Then multiply 2 x 6=12 and then 2 x 3=6 and put them down were you would already do noramly multiplying.

and then muliply 4x6=24 and 4x3=12 and do the same thing as you would do normaly and then add 72 and 144 to get 1512 and then count your decmail placing. which is 2 placeing in total which makes 1512 into 15.12

and now you done!

Example of how it should look...

       3   . 6

×       4   . 2

+       7   . 2

+   1 4 4  

=  1 5 1 2

Answer:

(8,2)

Step-by-step explanation:

the third option

Answer:

i guess (8,2)

Step-by-step explanation:

it's where both lines intercept

Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]

Where s is the standard deviation.

n is the sample size.

[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

Learn more about the confidence interval here:

brainly.com/question/6654139

#SPJ5

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

Answer:

c

Step-by-step explanation:

vshsbjzjskkzizjz shjskzoa

Answer: c

Step-by-step explanation:

Answer:

Option A is your answer

Answer:

Kindly check explanation

Step-by-step explanation:

Number of clubs = 13

Number of face cards = 12

Number of hearts = 13

Number of King's = 4

Number of reds = 26

Number of spade = 13

Number of 6's = 4

Total possible outcomes = total number of cards = 52

Probability = required outcome / Total possible outcomes

1.) P(A club) = 13 / 52

2.) P(face card or heart) =

p(face card) + p(heart)

12 / 52 + 13/52

= (12 + 13) / 52 = 25 /52

3.)

(A 6 and a spade)

4/52 * 13/52

= 52 / 2704

= 1/52

4.) A king

P(king) = 4 /52 = 1/13

5) A red

P(red) = 26 / 52 = 1/2

Answer:

no

Step-by-step explain why

because they have to be the same numbers

Answer:

Step-by-step explanation:

Let us consider P(A) to be the probability for the fact that I will go for sailing today

Likewise, P(B) will be the probability of a die to come up on an even number in the next roll.

Now, according to the question,

P(A and B) = 0.3

It is known to us that the probability of a die to land with an even number on its side up =  

Moreover, we are given with the fact that both P(A) and P(B) are independent.

∴ P(A and B) = P(A) × P(B)

⇒ 0.3 = P(A) × 0.5

⇒ P(A) =  = 0.6

Answer:

x=12, y=9, z=7, w=3

Step-by-step explanation:

Answer:

$7000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.6%/100 = 0.016 per year,

then, solving our equation

P = 224 / ( 0.016 × 2 ) = 7000

P = $ 7,000.00

The principal required to

accumulate interest of $ 224.00

on a rate of 1.6% per year for 2 years is $ 7,000.00.

Answer:

1246 sq cm

Step-by-step explanation:

First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.

34 x 39 = 1326

10 x 8 = 80

1326 - 80 = 1246

Answer:

She could choose 30 different combinations of cake and drink

Step-by-step explanation:

A coffee shop sells 5 different types of cake and 6 different kind of drinks.

This means that:

For each type of cake, there are 6 different kind of drink.

At all, there are 5 different types of cake.

So

6*5 = 30

She could choose 30 different combinations of cake and drink

Answer:

The answer is 2.77 km.

Step-by-step explanation:

Answer:

dont know this one my apologies

Answer: 11 = x

Step-by-step explanation: