15, 19, 23, 27.... what is the 52nd term in the arithmetic sequence?​

Answer:

[tex]y = 3(2)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

From the table;

[tex](x,y)=(0,3)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Also:

[tex](x,y) = (1,6)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]6 = a * b^1[/tex]

[tex]6 = a * b[/tex]

Substitute [tex]a = 3[/tex]

[tex]6 = 3 * b[/tex]

Solve for b

[tex]b = 2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 3(2)^x[/tex]

The exponential function represented by the values is f(x) = 3(2)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 3):

3 = ab°  

a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The exponential function represented by the values is f(x) = 3(2)ˣ

Find out more on Exponential function at: brainly.com/question/12940982

9514 1404 393

Answer:

  C

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\displaystyle\frac{7}{-4-\sqrt{x}}=\frac{7(-4+\sqrt{x})}{(-4-\sqrt{x})(-4+\sqrt{x})}=\frac{-28+7\sqrt{x}}{16-x}=\boxed{\frac{7\sqrt{x}-28}{16-x}}[/tex]

Answer:

C

Step-by-step explanation:

it's rational because 6.24 can be 68/33

sorry if I'm wrong!!

Answer:

1488 sandwiches in thirty minutes

Step-by-step explanation:

Answer:

0.6892 = 68.92% of bottles are within specification.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.

This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]

The plant’s quality manager wants to determine how well the process is operating.

To do this, we find the proportion of bottles within specification.

The specification limits for a bottle of soda are 2.1 liters and 1.9 liters

This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So

X = 2.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915.

X = 1.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]

[tex]Z = -2.83[/tex]

[tex]Z = -2.83[/tex] has a pvalue of 0.0023

0.6915 - 0.0023 = 0.6892

0.6892 = 68.92% of bottles are within specification.

Answer:

50 degrees

Step-by-step explanation:

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation:

portion of square empty =  256 - 153.86 = 102.14cm^2

Answer:

(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10

Answer:

hkhqews

Step-by-step explanation:

nc2ecnw

Answer:

-3

Step-by-step explanation:

so you SUBSTITUTE -2 in for z

ok i think they are trying to be tricky here

so

-1 - (-(-2))

inside parentheses, the two negatives are going to cancel eachother out.

now you have

-1 - (2)

which is

-1 - 2

-1 minus 2 is -3

Answer:

x = 35 degrees

Step-by-step explanation:

supplementary angles = 180 degrees

m<A + m<B = 180

(2x - 5) + 3x = 180

5x - 5 = 180

5x = 175

x = 35

Answer:

24cm

Step-by-step explanation:

The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.

288cm² = length × 12cm

length = 288cm² ÷ 12cm

           = 24cm

Answer:

type of music students prefer. How would the manager most likely get a random sample

that represents the school population?

Step-by-step explanation:

I may or may not have given my explanation in my answer 0.0

Answer:

the answer is either mean or median because you can find both of them given the data

The Volume of rectangular Pyramid whose height inches is 40 cubic inches.

The volume of the rectangular pyramid is defined as the capacity of the rectangular pyramid. In geometry, a rectangular pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces that are joined at a vertex.

Here, height of pyramid = 6 inches

base area = 4 X 5 = 20 sq. inches

Volume of rectangular pyramid = 1/3 × Base Area × height

                                                       = 1/3 X 20 X 6

                                                      = 120 / 3

                                                      = 40 cu. inches

Thus, the Volume of rectangular Pyramid whose height inches is 40 cubic inches.

Learn more about rectangular pyramid from:

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#SPJ2

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]

Answer:

Step-by-step explanation:

Take the paying multiply by months then take the years - the total loan

so you'd have 568.97(12)30-150000=54829.20

Answer:

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Step-by-step explanation:

Given the data:

Decade : 1910 __ 1940 ____ 1970

Mean, μ: 0.266 __0.267 ___ 0.261

S/dev, σ : 0.0371 _ 0.0326 __ 0.0317

To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.

Standardized score (Zscore) : (x - μ) / σ

Cobb, x = 0.420

Ted Williams, x = 0.406

George Brett, x = 0.390

COBB:

Zscore = (0.420 - 0.266) / 0.0371 = 4.1509

Ted Williams :

Zscore = (0.406 - 0.267) / 0.0326 = 4.2638

George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Answer:

I'm confused

Step-by-step explanation:

maybe more context?

Answer:

How many pounds of flour do you have and how many pounds of flour it takes to make a cake?

Step-by-step explanation:

Answer:

d.) half-plane..

Reason:

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Answer:

$15.20

Step-by-step explanation:

When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.

56.80 + 19.20 = 76

76 ÷ 5 = 15.20

Thus the mean cost is $15.20

Hope this helped!

Answer:

X = 10

Step-by-step explanation:

3x+4=34

3x = 34 - 4

3x = 30

X = 30/3

X = 10

Step-by-step explanation:

M/6-7=2/3

M/6=2/3+7

M=23/3×6

M=23×2=46

Answer: 3

Step-by-step explanation: The number in front of your variable is called your coefficient so we say that 3 is the coeficient.

Make sure to understand that a variable

is just a letter that represents any number.

Answer:

140 students on 4 buses