Find the 37th term of the arithmetic sequence: -38,-8,22,52

Answers

Answer 1

Answer:

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30     (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30      (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042


Related Questions

the equation is solved. describe the property used in each solution.​

Answers

Answer:

Step-by-step explanation:

1. multiplication property of equality.

2.division property of equality.

The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
Always
Sometimes
Never

Answers

Answer:

Never

Step-by-step explanation:

If two equations have the same slopes and the same y-intercepts they are equivalent to each other

Here's why:

The formula for a linear equation is y= mx +b

b= y- intercept

m= slope

m and b are only variable that have to be replaced by a number for the equation to be complete

Therefore, when m and b (or the slope and the y-intercept)  of both equations are the same, the two equations are the same

The answer would be allrealnumbers, not nosolutions

Hope this helps!!!

What is the area of the circle above?

Answers

Answer:

201.6

i think

Answer: I am pretty sure its A

Step-by-step explanation:

Maya's new puppy weighs 4 pounds . He will gain an average of 2 pounds each month until reaches his adult weight Which equation can be used to predict his total weight t after m months?

Answers

Answer:

4 + 2t = m

Step-by-step explanation:

Answer:

i think it t=2m

so sorry if im wrong i tried

Step-by-step explanation:

Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate. How many liters of water does Ryan drink in one hour

Answers

Answer:

2 litres of water

Step-by-step explanation:

If Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate, this can also be expressed as;

1 1/2 litres = 3/4 hour

To get the amount of litres Ryan drank for 1 hour

x = 1 hour

Divide both equations

(3/2)/x = (3/4)/1

3/2x = 3/4

2x * 3 = 3 * 4

6x = 12

x = 12/6

x = 2

Hence Ryan drinks 2 litres of water in an hour

Write the exponent for the expression.
1/9 x 1/9 x 1/9=?
HELP FAST plz

Answers

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

What combination of transformations is shown below?

Answers

Answer:

Rotated then reflected.

Step-by-step explanation:

Each day a carwash used 4.70 liters of soap. After 2 days,
how much soap would they have used?

Answers

Answer:

9.40L

Step-by-step explanation:

They would've used 9.4 liters of soap after two days.
If you multiply the amount of soap used a day and how many days it's been, you'll get the amount of soap used.
4.7*2 = 9.4

The ratio of girls to boys in the 6th grade is 6 to7. How many girls are there if there are 364 total students?

Answers

Answer:

168

Step-by-step explanation:

This is a proportion problem, but with a small trick.

Boys/Girls = 7/6

Here is the trick: add 1 to each side of the equation

(boys/girls) + 1 = (7/6) + 1

(boys + girls)/girls = 13/6

364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168

Answer:

[tex]168[/tex] girls

Step-by-step explanation:

Since the ratio of girls to boys is [tex]6:7[/tex], we can let the number of girls be [tex]6x[/tex] and the number of boys be [tex]7x[/tex]. We are given that there are a total of [tex]364[/tex] students, so we can write the following equation to solve for [tex]x[/tex]:

[tex]6x+7x=364[/tex]

Solving for [tex]x[/tex], we get:

[tex]6x+7x=364[/tex]

[tex]13x=364[/tex] (Simplify LHS)

[tex]\frac{13x}{13} =\frac{364}{13}[/tex] (Divide both sides of the equation by [tex]13[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=28[/tex] (Simplify)

Therefore, there are [tex]6x=6*28=168[/tex] girls in the 6th Grade. Hope this helps!

help now plsssss!!!!!!!

Answers

The answer is 5, all you have to do is multiply one of the denominations and if you multiply 6 by 10 it = 60 and if you multiply 10 by 6 you get 60 there for you simplify that which equals to 5

pita has 12 coins in her bag there are three £1 coins and nine 50p coins she takes 3 coins from the bag at random work out theprobability that she takes exactly £2.50

Answers

Answer:

3 x 3/12 x 2/11 x 9/10

Step-by-step explanation:

determine the standard form of the equation of the line that passes through (6,0) and (2,-7). (-7x-4y=-42) (7x-4y=42) (-7x+4y=42) (4x+7y=-42)​

Answers

Answer:

[tex]7x - 4y = 42[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (6,0)[/tex]

[tex](x_2,y_2) = (2,-7)[/tex]

Required

Determine the equation in standard form

First, calculate the slope (m) using:

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

This gives:

[tex]m = \frac{-7 -0}{2 - 6}[/tex]

[tex]m = \frac{-7}{-4}[/tex]

[tex]m = \frac{7}{4}[/tex]

The equation in standard form is calculated using:

[tex]y - y_1 = m(x - x_1 )[/tex]

This gives:

[tex]y - 0 = \frac{7}{4}(x - 6)[/tex]

[tex]y = \frac{7}{4}(x - 6)[/tex]

Cross Multiply

[tex]4y = 7(x - 6)[/tex]

Open bracket

[tex]4y = 7x - 42[/tex]

Subtract 7x from both sides

[tex]-7x + 4y = 7x - 7x - 42[/tex]

[tex]-7x + 4y = - 42[/tex]

Multiply through by -1

[tex]-1(-7x + 4y) = - 42*-1[/tex]

[tex]7x - 4y = 42[/tex]

A biologist estimated that the current population of ladybugs in the region was 8.3 x 106. He predicts that a swarm of
950,000 ladybugs will be arriving into the region.
According to the biologist's estimates, how many ladybugs will be in the region after the swarm arrives? math

Answers

According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

How many ladybugs will be in the region after the swarm arrives?

To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:

Total ladybugs = 8.3 x 10⁶ + 950,000

Total ladybugs = 8,300,000 + 950,000

Total ladybugs = 9,250,000

Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

Learn more about total population here: https://brainly.com/question/13902749

#SPJ1

Caleb invested $390 in an account paying an interest rate of 7% compounded
quarterly. Autumn invested $390 in an account paying an interest rate of 7%
compounded continuously. After 15 years, how much more money would Caleb have
in his account than Autumn, to the nearest dollar?

Answers

Answer:

$9

Step-by-step explanation:

DELTAMATH

A student has a container with a volume of 0.5 liter. She estimates the volume to be 0.6 liter. By what
percent is the student's estimate off?
(Round to the nearest percent as needed.)

Answers

Answer:

20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ben purchases 16 tickets at the fair . Each ride requires 2 tickets, and each food item requires 1 ticket. If ben uses 4 tickets for food iteems, what is the mazimum number of rides he can go on if he uses all of his tickets

Answers

he could go on 6 rides if he were to spend 4 tickets.

x is the amount of rides rode
y is the amount of food bought

2x+y+16
substitute
2x+4=16
subtract
2x=12
divide
x=6

Evaluate 6x-4y when x=5and y=2

Answers

Answer:

22

Step-by-step explanation:

6×5 and 4×2 then subtract

Answer:

30-8=22

Step-by-step explanation:

6*5-4*2

30-8

22

Find the perimeter and area of the following rectangle

Answers

Step-by-step explanation:

A = 12x^3y^2

P = 2(4x^2y+3xy)

Use trigonometry to solve for x. Round to the nearest tenth.

Answers

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

y=-x^2+10x-23 in vortex form

Answers

Answer is
Y=(x-+5)^2 -2

Write down two expressions for the
perimeter of this shape, one with
brackets and one without
[ + 7
P (with brackets)
P (without brackets) =​

Answers

Answer:

Perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]

perimeter without brackets is:

[tex]\mathbf{Perimeter = 4t+28}[/tex]

Step-by-step explanation:

We need to write two expressions for the perimeter of given shape, one with brackets and one without.

Length of side of shape = t+7

The formula used to find perimeter is: [tex]Perimeter = Sum\: of\: all\: sides[/tex]

Since the shape has 4 sides, we get:

[tex]Perimeter = Sum\: of\: all\: sides\\Perimeter = (t+7)+(t+7)+(t+7)+(t+7)[/tex]

So, perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]

Now, finding perimeter without brackets:

[tex]Perimeter = (t+7)+(t+7)+(t+7)+(t+7)\\Perimeter = t+7+t+7+t+7+t+7\\Combining\:like\:terms:\\Perimeter=t+t+t+t+7+7+7+7\\Perimeter=4t+28[/tex]

So, perimeter without brackets is:

[tex]\mathbf{Perimeter = 4t+28}[/tex]

Four integers have a mean of 12, a median of 14, a mode of 14 and a range of 12.
Find the four integers.

Answers

Answer:

4, 14, 14, 16

Step-by-step explanation:

Key skills needed: Casework, Mean, Median, and Mode

1) We start with 4 numbers _ _ _ _

2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.

3) The numbers would have to be:

_ 14 14 _ _ 14 14 14

The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.

4) So, our numbers are _ 14 14 _

5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.

6) We can make a system: saying x is the bigger number and y is the smaller number.

x + y = 20

x - y = 12

Add both and you will get 2x = 32 (since the y values cancel out).

7) divide by on both sides, and x = 16.

8) To find y, we can plug x back in to one equation:

16 + y = 20

y = 4

Our smaller number is 4 and our bigger number is 16.

9) Therefore the numbers are: 4, 14, 14, 16

Hope you understood and have a nice day!! :D

Answer these quick and easy questions I cant get my head around

Answers

1. There are 26 letters in the alphabet. Only one of those letters is A. Thus, the probability of picking A is 1/26.

2. Out of the 26 letters, two are either A or B. Thus, the probability would be 2/26, or 1/13.

3. 1/26 letters in the alphabet are Z thus there is a 1/26 probability in picking this letter.

4. There are 5 vowels in the alphabet. Thus, the probability would be 5/26.

5. There are 21 consonants in the alphabet, thus the probability of selecting a consonant fron the alphabet would be 21/26.

6. 4/26, as there are 4 unique letters from the alphabet in the name Bryn.

7. 8/26, as there are 8 letters before I in the alphabet.

8. 5/26 because there are 5 letters in the alphabet following the letter U

9. 11/26 because there are 11 letters between I and U.

10. 0/26 because there are no numbers in the alphabet.

Use Pythagorean theorem to solve for x

Answers

Answer:

339.7705

Step-by-step explanation:

Answer please i need answer by 11:00 est

Answers

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6

Answers

Answer:

The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

y = 6x - 22

Step-by-step explanation:

Given

The point = (3, -4)Slope = m = 6

We know that the slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

substituting m = 6 and the point (3, -4) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-4 = 6(3) + b

-4 = 18 + b

switch sides

b = -4 - 18

b = -22

now substituting m = 6 and the b = -22 in the slope-intercept form of the line equation

y = mx+b

y = 6x + (-22)

y = 6x - 22

Therefore, the equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:

y = 6x - 22

c) Which of these numbers is a square number
A
4 x 10^5
B
9 x 10^4
C
4 x 10^3
D
9 x 10^3​

Answers

9514 1404 393

Answer:

  B.  9 x 10^4

Step-by-step explanation:

The square number will be a square multiplied by 10 to an even power. Only one choice has an even power of 10.

  9 x 10^4

Samples of two different models of cars were selected, and the actual speed for each car was determined when the speedometer registered 50 mph. The resulting 95% confidence intervals for true mean actual speed were (51.7, 53.1) and (49.1, 50.3). Assuming that the two sample standard deviations are equal, which confidence interval is based on the larger sample size

Answers

Answer:

n₁  > n₂     Sample size of the first sample is bigger

Step-by-step explanation:

CI = 95 %    α = 5 %     α = 0,05

We know the bell shape curve of the normal distribution is symmetrical with respect to the mean, therefore we only need to evaluate one tail of the samples

Then from z-table we find   z(c)  =  1,64

CI   =  (  μ₀ - z(c)*σ /√n   <  X  <   μ₀ + z(c)*σ /√n )

So we must compare the tails of the two CI

Let´s call  n₁    and   n₂   the samples size of two different samples

The CI of the samples begins at

sample 1       μ₀ - z(c)*σ /√n₁        and for sample 2    μ₀ - z(c)*σ /√n₂      

that means   51,7  =  μ₀ - z(c)*σ /√n₁     (1)

and                49,1  =   μ₀ - z(c)*σ /√n₂     (2)

Where   μ₀ ;  z(c) = 1,64 ;  σ  are equal in both equations

Now by simple inspection, we note that the second term on the right side of the second equation should be bigger than the second term on the right side of  the first equation

then    

z(c)*σ /√n₂   >  z(c)*σ /√n₁

Then   n₂    need to be smaller than  n₁

n₁  > n₂

It takes 60 cubic feet of sand to fill a sandbox. The length and
width of the sandbox are 5 feet and 6 feet. What is the height
of the sandbox

Answers

Answer: 2 feet tall

Step-by-step explanation: 5*6=30/60=2

Which equation represents a proportional relationship?

Answers

And which is the equation?
Other Questions
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