Find the explicit formula for an arithmetic sequence with a common
difference of 4 and whose first term is 1.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]a_{n}=1+(n-1)(4)[/tex]


Related Questions

Help please anyone ??

Answers

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

Answer:

∠x = 83°

Step-by-step explanation:

Since ∠x and ∠y are supplementary ∠s so they add up to 180°

So,

∠x + ∠y = 180

Where ∠y = 97°

∠x + 97° = 180

∠x = 180-97

∠x = 83°

Given the figure below, find the values of x and z

Answers

Answer:

x=6 the angle =88

z=92

Step-by-step explanation:

find x

92+11x+22=180

114+11x=180

11x=180-114

x=66/11

x=6 the angle is 11(6)+22=66+22=88

find z=

z+88=180

z=180-88=92

can any one help. I'll mark brainliest​

Answers

Answer:

3.5

Step-by-step explanation:

0+1+2+3+4+5+6+7=28

28/8=3.5

Solids X and Y are similar.
X has volume of 64 cm3
Y has volume of 729 cm3
The surface area of X is 208 cm2
Work out the surface area of Y.​

Answers

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE

Answers

Answer:

The additive inverse of the polynomial  being subtracted is -0.612-8+181

Step-by-step explanation:

Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)

Now the polynomial being subtracted : (0.612 + 8 - 181)

Additive inverse : The number in the set of real numbers that when added to a given number will give zero.

So, Additive inverse of 0.612 = -0.612

Additive inverse of 8 = -8

Additive inverse of -181 = 181

So, The additive inverse of polynomial being subtracted : -0.612-8+181

So, Option B is true

Hence the additive inverse of the polynomial  being subtracted is -0.612-8+181

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?

Answers

Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…

Step-by-step explanation:

There are 50 children on the school basketball team, 60% of
the children are senior students. 80% of the seniors and 40%
of the juniors stay at the after-school program. How many more seniors than juniors stay at the after-school program?

Answers

Answer: 16 more seniors than juniors stay at the after-school program

Step-by-step explanation:

50 * 60% = 50 * .6 = 30

30 * 80% = 30 * .8 = 24

50 - 30 = 20

20 juniors and 30 seniors in total

———————————————

20 * 40% = 20 * .4 = 8

24 - 8 = 16

Answer:

16 more seniors stay after school or

Step-by-step explanation:

50/kids

50 x 60% =! 30/Seniors and 20/Junior30 x80% = 24/ seniors stay after school20 x 40% = 8/ juniors stay after school24 - 8 = 16 more senior

A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3). Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4

Answers

Answer:

x = 4

Step-by-step explanation:

It is stated that f(x) passes through

(-3, 3), (0, 3), (4, 3)

and g(x) passes through

(-4, -3), (0, 0), (4, 3)

Therefore, both functions pass through (4, 3). That is, the input value x = 4 produces the same output value y = 3 for the two functions.

Answer:

d x =4

Step-by-step explanation:

y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5

Answers

Answer:

it's y=5

Step-by-step explanation:

Answer:

The correct answer is -5 not 5.

Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 60 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 50 mph, how many more minutes does the journey take than expected?

Answers

Answer:

6 minutes more

Step-by-step explanation:

Time = Distance ÷ Speed

Time = 30miles ÷ 60mph

Time = 30mins

Time = 30miles ÷ 50mph

Time = 36mins

36mins - 30mins = 6mins difference

Answer: 6 minutes

Step-by-step explanation:

Time = Distance / speed

When speed is 60 mph

Time = 30/60 = 1/2 hour = 30 minutes

When speed is 50 mph

Time = 30/50 = 3/5 hour = 36 minutes

A sequence of squares is made of identical square tiles. The edge of each square is one tile length longer than the edge of the previous square. The first three squares are shown. How many more tiles does the seventh square require than the sixth

Answers

Answer :
I don’t understand

Which of the following is equal to 57%?
O A. 35
O B. 53
5.3
D. 15

Answers

The answer is letter B

In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point

Answers

Answer:

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years.  Then:

A = ($240,000)(1 + 0.04)^12      (that's 12 years past 2008)

   = ($240,000)(1.04)^12 = $384,247.73

Growth rate:  4%, or 0.04

Independent variable:  time (t)

Dependent variable:  appreciated value of the house, A

Domain:  [0, 30) (assuming that the house is sold within 30 years)

Range:  [$240,000, infinity)   (the house will never sell for an infinite price)

PLEASE HELP LOOK AT THE PHOTO I GAVE YOU

Answers

Answer:

A, B

Step-by-step explanation:

Point C is greater than 4 because it is at 6.

6 is greater than 4.

Point A is less than Point B, -8 is less than 4.

A and B will be your answers love

which expression is equivalent to 2/9 x 3/4

Answers

Answer:

0.16666666666667

Step-by-step explanation:

Let me know if this is correct.

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]

RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0

Answers

Answer:

D) 0

Step-by-step explanation:

In a ║gm, opposite sides are parallel and equal.

So,

RS = UT

=> x+5 = 2x+5

=> 2x-x = 5-5

=> 2x = 0

=> x = 0

Answer:

Step-by-step explanation:

i think 0

The sum of all digits in the numbers 44, 45, and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.

Answers

Answer:

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127

Step-by-step explanation:

The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4  + 2 + 5 = 127

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.

What is 4 square root of 81 to the fifth power in exponential form

Answers

Answer:

B is the answer.

Step-by-step explanation:

[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]  

[tex]\sqrt[4]{81^{5} }[/tex] =  [tex]81^{\frac{5}{4} }[/tex]

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

B

Step-by-step explanation:

The next time Bus A leaves (75 minutes from 6:00), Bus B will also leave because 75 / 15 is a whole number. 75 minutes from 6:00 is 7:15 a.m.

I Need Help Please I'm Out Of Time. :(

Answers

Answer:

Class A is using 60% salt solution while Class B is using a 50% salt solution. So Class A's solution is saltier. 3/5=0.60 which equals 60%. 2/4=0.50 which equals 50%. That's how I know it is saltier

Answer:

3/5 and 2/4

You can cross multiply

3 x 4 = 11

2 x 5 = 10

3/5 is bigger

You can also convert into decimal

3/5=0.6

2/4=0.5

Hope this helps

Step-by-step explanation:

which term best describes the function represented by the graph?

A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing

Answers

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)

Hi, Please i need help with this question. Workings would be deeply appreciated .

A straight line which passes through the point (3,-4) makes intercept 3k and -5k on the x and y axes respectively. Find the value of k​

Answers

Answer:

k = ⅕  

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4)     = a point on the line

(3k,0)   = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k =

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

 

Pls help don’t know how to do this one

Answers

Answer:

150 m

Step-by-step explanation:

Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,

1. Find the diameter of the circle, which is also 150m

2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)

If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,

75 + 75 = 150m

help! I’m not sure if it’s c or d thanks!!

Answers

Answer:

i think its c

Step-by-step explanation:

d looks even if that makes sense

Answer:

C cannot be represented by a linear function

Step-by-step explanation:

We can draw a line to represent the points, then it would be a linear functions

A,B and D can be represented by a linear function

C is a curve

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a
sample of size 131 with 81% successes. Enter your answer as a tri-linear inequality using decimals (not
percents) accurate to three decimal places.
apa
> Next Question

Answers

Answer:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Step-by-step explanation:

Information given:

[tex] n=131[/tex] represent the sample size

[tex] \hat p=0.81[/tex] represent the estimated proportion

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=2.326[/tex]

And replacing into the confidence interval formula we got:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Which formula is used to calculate the standard deviation of sample data?
2.
X, - x
+ X2-X
+ ... + X-X
(1928)
s=1
n-1
(x1 - x)2 + (x2-x) +...+(XN-)?
2
11
N
w
(x1 - x)+ (x2-x)2 +...+(x+4) ?
N
2
Xq- x
-3)
+ X2-X
+
+ X
S=
n-1

Answers

Answer:

The first option from the picture

Step-by-step explanation:

In the picture attached, the question is shown.

In the first option:

s is the standard deviation[tex] x_1, x_2, \dots, x_n [/tex] are the members of the sample[tex] \bar{x} [/tex] is the sample meann is the number of members in the sample

The formula for calculating the standard deviation of sample data is expressed as    [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

What is a standard deviation?

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean

The formula for calculating the standard deviation of sample data is expressed as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]

Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

Learn more on standard deviation here: https://brainly.com/question/475676

What is the measure of angle A'?

45º
63º
72º
98º

Answers

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

Step-by-step explanation:

Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)

Answer
45

Explanation

Which values of a, b, and c represent the answer in simplest form?


9 / 11 divided 5 / 11 = A B/C

a = 1, b = 99, c = 55

a = 1, b = 55, c = 99

a = 1, b = 4, c = 5

a = 1, b = 5, c = 4

Answers

Answer:

A = 1, B = 4, C = 5


Step By Step Explanation:

9/11 divided by 5/11 =

9/5 (Exact Form)

1.8 (Decimal Form)

1 4/5 (Mixed Number Form)
A = 1
B = 4
C = 5
Hope this helpes!!!

Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths

Answers

Answer:

Tangent B = eight-sixths

Step-by-step explanation:

Data

AB: 6 unitsAC: 8 units

From tangent definition:

tan(β) = opposite/adjacent

where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.

In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:

tan(B) = AC/AB

tan(B) = 8/6

Answer:

B is the correct option here

Step-by-step explanation:

hope that this helps. Peace and love

About 3% of the population has a particular genetic mutation. 600 people are randomly selected.

Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places

Answers

Answer:

Standard deviation  for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

Mean of the  binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

                                σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]

Conclusion:-

Standard deviation  for the number of people with the genetic mutation = 4.178

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