Find an
explicit formula for the arithmetic sequence 37, 74, 111, 148, ....
Note: the first term should be a(1).

Answers

Answer 1

Answer:

Step-by-step explanation:

a₁ = 37

a₂ = 74

Common difference d = a₂ - a₁ = 37

nth term = a₁ + (n-1)d

= 37 + (n-1)37

= 37n

Answer 2

Answer:

Below in bold.

Step-by-step explanation:

The common difference is 74-37 = 37.

nth term a(n) = a1 + (n - 1)d

= 37 + 37(n - 1)

= 37n.


Related Questions

help me please! I’ll give y’all points

Answers

Answer:

11

Step-by-step explanation:

Answer:

Y = 11

Step-by-step explanation:

I think we are using the order of PEMDAS. We replace the x with 3. If we simplify this expression this is just 3 to the power of 2 multiplied by 2 then subtracted by 7. So 3^2 = 9 then 9 x 2 = 18. Then 18 minus 7 = 11.

help please!!!!!!!!!!!!

Answers

Answer:22.5

Step-by-step explanation:

Type the correct answer in the box.
log +log -10823= log

Answers

the correct answer to the equation in the picture is log 7

Answer:

log 7

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )

Given

log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )

= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )

= log[tex]\frac{154}{22}[/tex]

= log 7

Write and Solve an equation to find the value of x and a missing angle in the triangle below.

Answers

x =17 and FGH = 35 degree

In a school, 30% of the students arrived by private car, 15 travel by taxi and the remainder walk to school. If the school has a population of 230, how many more students walk to school than arrives by car?

Answers

Answer:

57.5 students

Step-by-step explanation:

Given that

The 30% students would be arrived by private car

So 15% would be travelled by taxi

And, the remaining i.e. 55% would be walk to school

Since the population of the school is 230

So by car, the students would be

= 230 × 0.30

= 69

By walk, the students would be

= 230 × 0.55  

= 126.50

Now the more students would be

= 126.50 - 69

= 57.5 students

What is the y-intercept of line x = -8?

Answers

Answer:

There is no y-intercept.

Step-by-step explanation:

x = -8 has an undefined slope which means that it will never have a y-intercept unless it is x = 0.

Find the mean absolute deviation for this data set.
2, 3, 1, 5, 4

Answers

The mean absolute deviation of the given data set is 1.2.

How to calculate the mean absolute deviation of a  data set?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:

MAD =∑|x-m| / n

∑ is known as Sigma and means to sum up

| | are vertical bars that mean absolute value

x is each value

m is the mean

n is the total number of data points in your data set

Given: 2, 3, 1, 5, 4

n = 5

m = 2 + 3 + 1 + 5 + 4 = 15/5 = 3

∑|x-m| = |2-3| + |3-3| + |1-3| + |5-3| + |4-3|  = 6

MAD =∑|x-m|/n = 6/5 = 1.2

Therefore, the mean absolute deviation of the set data is 1.2

Learn more about mean absolute deviation on:

brainly.com/question/16586775

#SPJ1

Please help I’ll give brainliest if it’s correct !! :)))

Answers

Answer:

A textbook weighs about 1 pound and is about 1 foot long

A car weighs about 1 ton and is about 5 yards long

A mosquito weighs about 2 mg and is about 1 inch long

Step-by-step explanation:

#commonsense lol

Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16

Answers

Answer:

C is correct

Step-by-step explanation: c is correct great job

Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft

Answers

Answer:

15 ft

Step-by-step explanation:

A right triangle is formed by h, the radius and the slant height

Given diameter = 16, then radius = 16 ÷ 2 = 8

Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Answer:

Step-by-step explanation:

Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.

Answers

9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?

Answers

Answer:

3.33

Step-by-step explanation:

20 divided by 6 equals 3.33333333333

Round that you get 3.33

Please help ASAP!!! Thanks

Answers

Answer:B.√13

Step-by-step explanation:

Hope this helps!

a=p2+q2

2=62+42

2≈3.60555

With instructions too please

Answers

Answer on pic above

Hope this helps

HELP WILL GIVE BRAINLIEST
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly?

Answers

Answer:

Tank A is filling faster

Step-by-step explanation:

On the graph, You can see that the line of tank A is rising far faster than tank B.

Answer:

Tank A is filling faster because it's a longer line.

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

IF YOU SEND ONE MORE LINK AGAIN I WILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

h(x) =-(x+5)^3

Step-by-step explanation:

A 10 ft tall tent standing next to a woman
casts a 16 ft shadow. If the woman is 5 ft
tall, then how long is her shadow?

Answers

Answer:

8 ft

Step-by-step explanation:

Set up a proportion: 10/16=5/x

Solve for x: 80=10x

x=8

I need help ASAP with this please help

Answers

Answer:11/18, or  11 to 18.


Identify pair of adjacent angles and vertically opposite angles from the
following figures.

Answers

Answer:

adjacent angle pair is ∠AOD and ∠DOB    (could be any two that are next to each other)

vertically opposite angles are ∠AOD and ∠COB (also could be ∠AOC and ∠DOB

Step-by-step explanation:

$4.00 + $2.00=
answer

Answers

Uhh $6.00 is your answer have a good day!

WILL GIVE BRAINLIEST NEED ASAP


The following system of equations has exactly one (x, y) pair for its solution.
4x + 6y= 24
2x+y=8
If we add the two equations in the original system, we have 6x + 7y= 32.
Explain why the same (x, y) pair is also a solution to this equation. Use math and be
specific in your explanation!

Answers

Solve for
y
y in
2
x
+
y
=
8
2x+y=8.
y
=
8

2
x
y=8−2x

2 Substitute
y
=
8

2
x
y=8−2x into
4
x
+
6
y
=
24
4x+6y=24.

8
x
+
48
=
24
−8x+48=24

3 Solve for
x
x in

8
x
+
48
=
24
−8x+48=24.
x
=
3
x=3

4 Substitute
x
=
3
x=3 into
y
=
8

2
x
y=8−2x.
y
=
2
y=2

5 Therefore,
x
=
3
y
=
2



x=3
y=2
​ look in comments to read it better but x=3 y=2 hope this helps :)

Mr. Lucas baked 24 cookies. 3 fourths of the cookies were oatmeal. How many oatmeal cookies did Mr. Lucas bake?

Answers

Answer: 18 oatmeal cookies.

Step-by-step explanation:

Simplify divide 24 by 3/4 to find how many oatmeal cookies Lucas made.

24 x 3 = 72/4 = 18

PLEASE HELP!! will be marked brainliest!!

————————
Volume Real World Scenarios:

1. the area of the base of a cylinder is 150 square inches. if the volume of the cylinder is 1,050 in.3, what is the height of the cylinder?

2. the volume of a cylinder is 942 cubic feet. if the height of the cylinder is 12 feet, what is the radius of the cylinder?

3. drew and beau both have cylindrical water bottles. drew’s water bottle has a diameter of 6 inches and a height of 7 inches. beau’s water bottle has a diameter of 4 inches and a height of 9 inches. who’s water bottle holds more water, and how much more water does it hold?

4. isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters. jason constructed a cone that has the same height and the same radius as isabella’s cylinder. what is the volume of jason’s cone?

5. a cone has a volume of 942 cubic inches and a height of 9 inches. what is the radius of the cone?

6. tess gets a snow cone shaped container. the container has a diameter of 3 inches and a height of 5 inches. if the snow cone costs $0.20 per cubic inch, how much would her snow cone cost if the container is filled to the top?

7. a sphere has a volume of 288 π π in3. find the radius of the sphere.

8. jasmine is decorating her christmas tree with ornaments shaped like spheres. each ornament has a radius of 3 inches. if the ornaments are filled with glitter, how many total cubic inches of glitter are contained in the ornament?

Answers

Using the area formula, the height of the cylinder is found to be approximately 7.87 inches.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

Use the formula for the volume of a cylinder to relate the radius, height, and volume of the cylinder -

V = πr²h

Where V is the volume, r is the radius, and h is the height of the cylinder.

It is given that the area of the base of the cylinder is 150 square inches.

Since the base of a cylinder is a circle, the area of the base is given by -

A = πr²

Where A is the area of the base and r is the radius.

Solving for r -

r² = A/π = 150/π

Use the given volume and radius to solve for the height -

V = πr²h

1050 = π(150/π)²h

h ≈ 7.87 inches

Therefore, the height is 7.87 inches.

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ1

Henry is making a recipe for biscuits.A recipe calls for 5/10 kilogram flour and 9/10 kilogram sugar.If henry measures correctly and combines the two amounts,how much flour and sugar will he have. Show your work

Answers

Answer: [tex]\dfrac{14}{10}\ kg[/tex]

Step-by-step explanation:

Given

Henry has [tex]\frac{5}{10}\ kg[/tex] of flour and [tex]\frac{9}{10}\ kg[/tex] of sugar

If henry added the two amounts, the net weight of the two is

[tex]\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg[/tex]

ANSWER ASAP!! i’ll give brainliest!!
Oy=x-3
Oy=-x+3
Oy=-x-3
Ov=x+3

Answers

Answer:

3rd one thank you let me know if u got it rigbt

Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.


How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?


A. 29.33 feet per second

B. 35.99 feet per second

C. 215.12 feet per second

D. 733.35 feet per second

E. 860.48 feet per second

Answers

Answer:

C. 215.12 feet per second

Step-by-step explanation:

Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.

How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?

From the above question

1 mile = 5280 feet

1 hour = 60 minutes

1 minutes = 60 seconds

1 hour = 60 × 60 seconds = 3600 seconds

We are to convert 146.67 miles per hour = feet per second

Hence:

146.67 miles /1 ft × 5280 feet/1 miles × 1 hr/3600 seconds

= 146.67 × 5280 feet/3600 seconds

= 774417.6 feet / 3600 seconds

= 215.116 feet per second.

Approximately = 215.12 feet per second

Option C is correct

What is
2 x 9 x 9 x 9 x 2 x 9
In index notation

Answers

Answer:729 with a power of 36

Step-by-step explanation:index notation is basically a power a power is a number such as 2x9x9x9x2x9=26244 And 729 with a power of 36 is adding 729 ,36 times.or you can just multiply 729 times 36 the easy way. Hope this helped and can I get brainliest plss.

i need help quickly guys

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Pythagorean Formula:

a² + b² = c²

Given:

a = 3

b = 4

Work:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

c² = 25

[tex]\sqrt{c^2} =\sqrt{25}[/tex]

c = 5

When does the equation of a line in slope-intercept form look just like its
equation in point-slope form?

Answers

Answer:

-y ,y = m (-x, x)

Step-by-step explanation:

Determine if two triangles are congruent. If they are, state how you know.

A: SSS
B: SAS
C: HL
D: AAS

help me ASAP please!:(

Answers

the answer should be A. SSS

because the two triangles show that all three sides are congruent.
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