What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.

Answers

Answer 1

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

n = 37a₁ = -39d = 8

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]


Related Questions

3 feet in 4 mintes
A.______________
B.______________ per 16 minutes

Answers

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4x4=16, so multiply 3×4 to get 12.

4.5 x 30 =
tenths x 30 =

Answers

Answer:

4.5 x 30 = 135

0.1 x 30 = 3

Hint: something multiplied by 0.1 is the same as that same thing divided by 10.

An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

Geometry- Solve the portion. Question#3​

Answers

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

Find more information: https://brainly.com/question/11037225

The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2

Answers

3:2 2=30 30/2=15 15x3=45
A=45

2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80

Answers

Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10

Answers

Answer:

y = 7x + 3

Step-by-step explanation:

A slope of 1/7 will give you a line that is not very steep.  Therefore C and D is not the answer.

Now look at  A and B.  Check point (1, 10) into equations A and B  because this point is on the given graph.

y = 7x + 3                                    y = 7x + 10

y = 7(1) + 3                                   y = 7(1) + 10

y = 7 + 3                                      y = 7 + 10

y = 10      (1, 10)                             y = 17            (1, 17)

Which quadratic function shows a y-intercept of 4 and a maximum value of 5

Answers

Answer:

The 4th graph

Step-by-step explanation:

To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.

Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed


Answers

Volume of one cube: 5*5*5 • 125

Multiply it by the number of cubes present

125 • 5 = 625

Assuming that none of the metal is taken off, the volume of the sphere should me 625 cm^3

4n + 8 = 40


what does n =

Answers

4n + 8 = 40

4n = 40 - 8

4n = 32 / : 4

n = 8

N = 8

Hope this helps!!! if so please give brainliest

Maki~

make v the subject of the formula t=4v+3

Answers

Step-by-step explanation:

t=4v+3

t-3=4v

(t-3)/4=v

hope this helps you.

What is p^m multiplied by p^n equal to?

Answers

Step-by-step explanation:

p^m × p^n .....since the base is the same, add the powers

p^(m + n)

p^m + n

solve for x 10 points
3 1/5−1/4x=−4/5

Answers

3⅕ - ¼x = -⅘

-¼x = -⅘ - 3⅕

-¼x = -4 / · (-4)

x = 16

100 IF U GET THIS RIGHT!

Answers

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

what is the answer to 11/12-7/9=

Answers

0.13888888888 is tour answer

Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?

Answers

you’re answer is 5x-10=y i think.

pls help me with this question ...​

Answers

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52

Answers

Answer:

C ( 2.8 x 13 = 0.7 x 52)

Step-by-step explanation:

2.8 x 13 = 36.4

0.7 x 52 = 36.4

36.4 = 36.4

Answer:

Answer : 36.4

Step-by-step explanation:

thanks pi sa points uwu

pls help i was to turn this by tomorrow

Answers

Answer:

a d

Step-by-step explanation:

What is the height, x, of the equilateral triangle?

Answers

Answer:

D: [tex]4\sqrt3[/tex]

Step-by-step explanation:

Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]

What’s the range of = 1 2 ⋅ 2 + 6 + 6

Answers

Answer:  the range of 12 * 2 + 6 + 6 is 36

Step-by-step explanation:

36 Oder of opintel I think

1/243 as an expression using a negative exponent other than -1​

Answers

Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form

Replace the denominator by 2^10

Now we apply exponential property

negative exponent other than -1 is

PLS HELP FOR BRAINLIST :D

Answers

Answer:

The third answer is the correct one.

y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.

Answers

Answer:

y = 32/2.5

Step-by-step explanation:

formula:

y=kx

k = y/x

k= 4/2.5

so this is k

y = 4/2.5 x

y = 4 / 2.5 × 8

y = 32/2.5

answer.) y = 32/2.5

hope it was helpful

thank you

Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old

Answers

Answer:13 years,1 month, and 29 days

Step-by-step explanation:

Given trapezoid​ WXYZ, what is​ XY?

Answers

Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.​

Answers

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:

Answers

Answer:

y > x - 2

y >= 5x + 1

Step-by-step explanation:

Linear inequalities represented by the graph are y>5x+1 and  y>x-2

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The first line passes through the points

(0, 1) and (-1, -4)

The slope of line is m=-4-1/-1=5

Let us find the y intercept

1=5(0)+b

b=1

So the equation of line is y=5x+1

As the shading is outside so y>5x+1

Now let us find for 2nd line

(2, 0) and (-2, -4)

m=-4/-4=1

Now y intercept is 0=2+b

b=-2

So equation is y=x-2

As shading is outside so  y>x-2

Hence,  linear inequalities represented by the graph are y>5x+1 and  y>x-2

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ2

Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.

Answers

pa brainliest answer po

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