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

A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?

Answers

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

Explain what someone has to do to get a good credit rating.

Answers

Answer:

The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.

Step-by-step explanation:

Hope it helps if this is what you mean;)


Here is a sequence of numbers:
1
3
6
10
15

What is the name given to these numbers?

Answers

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

it's b

Step-by-step explanation:

because it is sum and difference of 3x and 5

Lia has 72 green grapes that are shared equally between 8 of her friends. Darrel adds 41 green grapes to his share. How many grapes does Darrel have in all

Answers

The answer would be 49 because 72 divided by 8 would be 9 and you add 41 you get 49

Darrel has 50 grapes in all.

Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:

Number of grapes each friend receives = 72 / 8 = 9

Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:

Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel

Total grapes for Darrel = 9 + 41 = 50

To know more about grapes:

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What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x

Answers

hope this help

pls mark as brainliest

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline​

Answers

Answer:

wedge

Step-by-step explanation:

4y=12 and 4y=2x
So:2x=

Answers

Answer:12

Step-by-step explanation:

if 4y=12

then y=3

4y=2x

then as 4y=12 then 2x=12

Answer: 2x=12

Step-by-step explanation:

so if 4y=2x we know that 2x is also equal to 12

2x=12

. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?


AND EXPLAIN THE STEPS

Answers

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}

Answers

Answer:

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

y=\frac{1}{2}x - 6y=21x−6

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6

when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5

when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5

when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6

when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5

when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

Step-by-step explanation:

solve the equation ? 1 equation with 2 variables ? that is not possible.

what you mean is probably find the range.

x - 2y = 12

-2y = -x + 12

2y = x - 12

y = (x - 12)/2 = (1/2)x - 6

x = -3

y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5

x = -1

y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5

x = 0

y = 1/2 × 0 - 6 = -6

x = 2

y = 1/2 × 2 - 6 = 1 - 6 = -5

x = 5

y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5

so, the corresponding range of the function is

{-7.5, -6.5, -6, -5, -3.5}

Which circle has a radius that measures 10 units?
10
D
20
F
10
OG
20

Answers

Circle F 20
Hope this helps :))

Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

The distance across a circle through the centre is called the diameter.

Diameter = 2 × radius

In the given figures, option B has a diameter of 20

so radius = diameter /2

=20/2

=10 units

Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.

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Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys

Answers

Answer:

The answer is C

Step-by-step explanation:

The range of the function plotted on the graph is [-6, 9].

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the graph of a function shown in the image.

Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].

Therefore, the range of the function plotted on the graph is [-6, 9].

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Identify the slope and y-intercept for 3x + 4y = 9.

Answers

The answer is:

Slope: -3/4

Y-intercept: (0, 9/4)

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.

a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote

Answers

Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999

what is the term to term rule of the sequence in 5, 10, 20, 40, 80

Answers

Each variable is doubled so the rule would be x2

Answer:In each step the number is double that of the previous step.

Step-by-step explanation:

In each step the number is double that of the previous step.

0    5

1    10

2   20

3   40

4    80

This can be written as 5*(2)^n, where n is the step number.  e;g;, 5*2^0 = 5 for step 0.  For step 4:  5*2^4 = 80.

pls help very confusing

Answers

Step-by-step explanation:

option D is correct.

hope this answer helps you dear! take care

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The additional information to prove the Triangles congruent is ~

[tex] \bar{AC} \cong\bar{ DF}[/tex]

The Triangles are congruent by SAS congruency criteria ~

gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.

Answers

Step-by-step explanation:

According to the given we have following inequalities:

x + y ≤ 220y ≥ 4x

See the graph attached below.

Solution region is within the triangle with marked vertices.

Find the perimeter. Simplify the answer.

Answers

Answer:

16c+24

Step-by-step explanation:

4c+4c+7+7+8c+10=16c+24

Write the transformed equation for g(x)+4 calling it h(x)

Answers

Answer:

h(x) = (1/3)x + 6

Step-by-step explanation:

yeah-ya ....... right?

helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

£120

Step-by-step explanation:

original_price = discounted_price / (1 - discount / 100)

78/(1-35/100)=120

Find the side length of the triangle.

Answers

Answer:

a=12

Step-by-step explanation:

brainlest if this helped so much !

Answer:

Its A. 12

Step-by-step explanation:

Hope this helps!

Identify an equation in point-slope form for the line parallel to y-x-4 that
passes through (-1, 7).
O A y-7 - (x+1)
O B. y+1-(x-7)
O C. -?.5(x+1
O cy 7
y-
O D. yt? (x-1)
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here (a, b ) = (- 1, 7 ) , then

y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is

y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A

Solve for x with 10x+10 and 17x+8

Answers

Answer:

here is the answer

Step-by-step explanation:

Which inequality is represented by the graph?

Answers

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

A shark can swim at an average speed of 25 miles per hour. At this rate, how far can a shark swim in 2.4 hours. Use r= d/t. (D over T)

Answers

Answer:

60 miles

Step-by-step explanation:

1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.

Tell me if I'm wrong :)

at breakfast yusef drinks 16 ounces of water

Answers

Answer:

Step-by-step explanation:

K, but what's the question?

Help me please I’m stuck

Answers

The x axis of the point is being translated three units to the left (going from 6 to 3)
The y axis of the point is being translated 2 units down (going from 4 to 2)

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

2x+1+4x+7+5x-1+4x-18+7x-39

Answers

Answer: x=2

Step-by-step explanation:

The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.

Answers

Answer:

-9?????????????????????????

Step-by-step explanation:

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