Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32

Answers

Answer 1

Answer:

Step-by-step explanation:

hello :

the sum is : Sn = n/2(U1 + Un )     and U n = U1+(n-1)r    

given :    U1 = 1      r=4-1=7-4=...= 3      n= 32

so :  U 32 = 1+(32-1)3= 94

S32 = 32/2 (1+94) = 1520


Related Questions

-b+10b+2b+17=6 please help me

Answers

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1

Solve by completing the square

Answers

Answer:

X¹=-11; X²=3

x ^ 2 + 8x - 33 = o

x ^ 2 + 11x - 3x - 33 = 0

x(x + 11) - 3(x + 11) = 0

(x + 11)(x - 3) = 0

Click on the numbers that fit the description.
(Choose 4)

Answers

Answer:

6231

Step-by-step explanation:

Answer:

6,2,30,8 is the common factor of 18 and 30

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.

(x + 3)(x – 1)(x + 5)

(x – 5)(x + 3)(x – 1)

(x – 5)(x + 1)(x + 3)

(x + 5)(x + 3)(x + 1)

Answers

Step-by-step explanation:

please mark me as brainlest

Find LP in parallelogram LMNQ.

Answers

Answer: im pretty sure its 29 degrees .

Step-by-step explanation: your welcome <3

What is the inverse of 2x-3?

Answers

Step-by-step explanation:

the inverse of 2x-3 is

[tex] \frac{1}{2x - 3} [/tex]

if this helped pls give brainliest

Roderick has a dog that has a mass of 9 kilograms what is the mass of the dog in grams

Answers

Answer:

9000 grams

Step-by-step explanation:

multiply the mass value by 1000

Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.

a) Find the 95% confidence interval for the proportion of smokers that have been divorced.

b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.

c) What do the results above indicate about smoking and divorce?

Answers

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.

What is the 95% confidence interval for smokers and non-smokers?

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

https://brainly.com/question/17097944

Determine the value of y, if x is -1

equation: y= | x |-4

Answers

Answer:

y = -3

Step-by-step explanation:

y = | x | - 4

y = | -1 | - 4

y = 1 - 4

y = -3

Comment any questions!

(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?


A. 1,050$


B. 150$


C. 900$

Answers

1,000000 is not the only one that has the same name on

The equation w = 20n models the total weight of honey, w, in
pounds that a beekeeper expects to collect from n hives.
a. Graph the relationship modeled by the equation. Include a
title on each axis.
b. How does the graph show the expected rate of pounds of
honey per hive? How is this rate related to the equation?

Answers

The graph of the weight function w = 20n is an illustration of linear equations

The expected weight of honey per hive is 20 pounds

The graph of the model

The equation of the model is given as:

w = 20n

To plot the graph, we use the following representations

n is plotted on the horizontal axisw is plotted on the vertical axis

See attachment for the graph of w = 20n

Interpret the graph

The graph shows that:

As the number of hives increases, the weight of honey increasesThe expected weight of honey per hive is 20 pounds

Read more about linear equations at:

https://brainly.com/question/14323743

Help picture below problem 12

Answers

76 because you have to add them multply then divide

Which is the graph of 25x2 + 4y2 = 100?

Answers

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

A cone has a radius of 7 cm and a height of 12 cm what is the volume in cubic meters of the cone

Answers

Answer: 615.44 m^3.

Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height.  The equation is given below:

π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.

Now, we need to substitute the values with the information that is given.  π ≈ 3.14:

3.14 x 7^2 x 12 ≈ 1846.32.

We are not finished yet!  A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:

1/3 x 1846.32 ≈ 615.44 m^3.

Hope this helps! :)

Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation

Answers

Answer:

[tex](-\infty,\frac{25}{24}][/tex]

Step-by-step explanation:

Assuming [tex]i[/tex] is a variable:

[tex]4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}][/tex]

a triangle has one side that is 4cm long and one that is 9cm long the third side is a whole number of cm. what is the shortest possible third side?​

Answers

Answer:

Step-by-step explanation:

Since it must be an integer, 5 would make it up to the full length of the longest line. What you get is not quite a triangle. The way to get a triangle is to add one more to the 5 to make 6

Answer: 6 cm

Which of the following is the solution to the equation 4 over 5 times n = 20
N = 4
N= 12
N = 16
N = 25

Answers

Answer:

  (d)  N = 25

Step-by-step explanation:

The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.

  (4/5)N = 20

  (5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient

  N = 25 . . . . . simplify

Problem
* Henry has many different screwdrivers. Each screwdriver is 6 inches long. He wants to make a line of
screwdrivers that is 1 yard long. How many screwdrivers will Henry need?

Answers

Answer:

Henry will need 6 screwdrivers.

Answer:

Henry will need 6 screwdrivers.

Step-by-step explanation:

[tex]1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers[/tex]

Please help I'll mark brainliest ​

Answers

Answer:

Athletes swim 3/20 kilometer for every kilometer they run.

Step-by-step explanation:

3/20 = .15

multiply 10 by 3/20

10 * .15 = 1.5

Answer:

3/20 kilometers for every kilometer ran

Step-by-step explanation:

divide

Taylor buys necklaces at wholesale for her store for $6, then she adds a mark up of
120% to the wholesale cost she paid for the necklaces. What is the sale price of
necklaces at Taylor's store?

Answers

Cost is 6 USD

Selling price is 6 + markup

Markup = 6 * 120 /100 put this expression and check again selling price

Selling price =  6 + (6 * 120) / 100

= 13,2 usd

According to the labor statistics document, which educational level has the highest median
income?

Answers

The doctoral degree educational level has the highest median income

What are educational level?

Education level refers to the years of formal instruction received and successfully completed.

From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)

Find out more on educational level at: https://brainly.com/question/2987151

Answer: Bachelor's Degree, and Male

Step-by-step explanation:

due in 1 hour
screenshot below

Answers

Answer:

True I'm pretty sure. Just check to be sure.

Step-by-step explanation:

A banshees s dD dsbshshshs shshshshshah

Answers

Please don't spam the questions.

Step-by-step explanation:

Sarita deposits $1000 in an account paying 3.4% annual interest compounded continuously.
A. What is the balance in Sarita's account after 5 years?

Answers

Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.

What is the equation for continuous compounding?

It is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

P is the principal.k is the interest rate.t is the time, in years.

In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:

[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]

The balance of her account after 5 years is of $1,185.3.

More can be learned about continuous compounding at https://brainly.com/question/15965736

a) Solve for x.
b) Then determine the angle measurement.

Answers

Answer:

a)x=12

b)64 degress

Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).

the question is below please help by monday

Answers

Where are the options

In 1995 there were 501 computer viruses reported. Since then, the viruses have been replicating at a
rate of 57% per year. How many viruses are projected for the year 2021?

Answers

Therefore, there are projected to be approximately 1541 computer viruses in the year 2021.

What is exponential growth?

Exponential growth is a pattern of growth where a quantity grows at a constant percentage rate per unit of time. In other words, the rate of growth is proportional to the current value of the quantity. This type of growth is often seen in natural phenomena such as population growth, the spread of diseases, and the growth of financial investments. Exponential growth can be described mathematically by an exponential function of the form y = abˣ, where a is the initial value, b is the growth factor, and x is the time variable.

Here,

To solve this problem, we can use exponential growth formula:

A = P(1 + r)ˣ

where:

A = final amount

P = initial amount

r = growth rate

t = time (in years)

Let's first calculate the number of years from 1995 to 2021:

2021 - 1995 = 26 years

Using the given information, we can plug in the values into the formula:

A = 501(1 + 0.57)²⁶

A = 501(3.08)

A = 1540.68

Rounding to the nearest whole number, we get:

A ≈ 1541

To know more about exponential growth,

https://brainly.com/question/12490064

#SPJ1

5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
A 20.4 units
B 8.9 units
C 14.4 units
D 11.7 units​

Answers

Answer: C

Step-by-step explanation:

the equation for X is

[tex]\frac{2+x}{2} =\frac{8}{1}[/tex]  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

How to write the slope intercept equation for points of (6,0) and (0,-5)?

Answers

Answer:

[tex]y=\frac{5}{6} x -5[/tex]

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the points to avoid confusion

[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]

Now substitute these values into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-5-0}{0-6}[/tex]

Subtract

m=[tex]\frac{-5}{-6}[/tex]

Simplify

m=[tex]\frac{5}{6}[/tex]

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

[tex]y=\frac{5}{6} x -5[/tex]

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): https://brainly.com/question/20891204

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