Find the 77th term for each sequence(use the equation: an=a1+(n-1)d)
A)5,10,15,20,25...
B)17,14,11,8,5

Answers

Answer 1

Step-by-step explanation:

[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 5 \\ a2 = 10 \\ d = 5 \\ an = 5 + (n - 1)5 \\ an = 5n \\ a77 = 5 \times 77 = 385[/tex]

For B

[tex]a1 = 17 \\ a2 = 14 \\ d = 14 - 17 = - 3 \\ an = 17 + (n - 1) \times - 3 \\ an = 17 - 3n + 3 \\ an = 20 - 3n \\ a77 = 20 - 3 \times 77 \\ a77 = - 211[/tex]


Related Questions

solve for X
5(x+8)= 8(x+1)

Answers

Answer:

x = [tex]\frac{32}{3}[/tex] (see below)

Step-by-step explanation:

First, use distributive property:

5 (x + 8) = 8 (x + 1)

5x + 40 = 8x + 8

Then, simplify the equation by combining like terms. You want to isolate the variable to one side of the equation so you can solve for it. Here what I'm talking about:

5x + 40 = 8x + 8

-5x            -5x

-------------------------

40 = 3x + 8

-8           -8

-----------------

32 = 3x

Now, divide both sides by 3 to get the value of x:

3x = 32

x = [tex]\frac{32}{3}[/tex]

or

x ≈ 10.7

Answer:

x= 32/3

Step-by-step explanation:

5(x+8)= 8(x+1)

5x+40=8(x+1)

5x=40=8x+8

5x+40=8x+8

5x+40-40=8x+8-40

5x=8x-32

5x=8x-32

5x-8x=8x-32-8x

-3x=-32

-3x = -32

(Divide both by -3)

x=32/3

Alexis had a cell phone that cost $65. She
recently bought a new cell phone that cost
$79. What is the approximate percent of
increase in the price of phones?

Answers

(79-65)/65) x 100 = 21.54%

Help asap will give brainliest

Answers

DAN is right for this question. Hope this helps

Answer:

Graph A is increasing more rapidly, so Dan is correct

Plssssssssssss help quick

Answers

Answer:

C

Step-by-step explanation:

yards and feet would take to long, miles would be the most efficient

15-2.5x=40 which is the correct first step to solve the liner equation

Answers

Answer:

subtract 15 from both sides if you're solving for x

The first step should be subtracting 15 from both side.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. Every mathematical equation has the formula L.H.S = R.H.S.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given equation:

15-2.5x=40

Now, to solve for x the first step should be subtracting 15 from both side

15 - 2.5x - 15 = 40- 15

-2.5x = 25

Now, divide by (-2.5) from both side

-2.5x / (-2.5)= 25/(-2.5)

x= -10

Hence, the first step should be subtracting 15 from both side.

Learn more about equation here:

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Please Hurry!!!

the angles of a triangle have measures of 78 degrees, 73 degrees, and 29 degrees. Which of the following be the measure of an exterior angle of a triangle?

A = 151 degrees.
B=141 degrees.
C=117 degrees.
D=112 degrees

Answers

Answer:

It's A.

Step-by-step explanation:

Extorior angles are 2 angles which match together which means 1 angle from outside the triangle matches with another angle in the triangle and form 180 degrees.

Use 180 and minus 78, 73 and 29 degrees separately. Do it until one of your answers match one of the options.

Answer two questions Equations A and B 3(x+2)=18 x+2=18

Answers

Answer:

The first one is x=4 and the second is x=16

Step-by-step explanation:

This is 100% true I put through photomath

Answer:

A is 4

B is 16

Step-by-step explanation:

If water freezes at 0ᴼC, which temperature is above freezing

Answers

Answer:

32 F

Step-by-step explanation:

The answer would be Anything above 0*c

3х - 2y = 11
Need the answer

Answers

Answer:

Step-by-step explanation:

Im assuming you the equation in terms of y, that's the conventional thing in high school math.

Add 2y to both sides:

3x = 2y + 11

Subtract 11 from both sides:

2y = 3x - 11

Divide both sides by 2:

y = (3x - 11)/2

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
8 to 20

Answers

Answer:

2/5

Step-by-step explanation:

8 to 20 is 8/20=4/10=2/5

State the inverse of the ordered pair:(−8,3).

Answers

Answer:

i d k

Step-by-step explanation:

Given a sphere with a diameter of 6 cm, find its volume to the nearest wholenumber.

A. 905 cm^3
B. 85 cm^3
C. 113 cm^3
D. 37 cm^3

Answers

Answer: It’s 113 cm3

Step-by-step explanation:

I GUESSED ‍♀️

A math teacher said that 18 out of 25 students passed the test. What percent of the students did NOT pass the test?

Answers

Answer:

28% of the class didn't pass the test.

Step-by-step explanation:

25 - 18 = 7

7/25 = 0.28  or 28%

Thus, 28% of the class didn't pass the test.

I NEED HELP PLZ HELP

Answers

Answer:

16,200

Step-by-step explanation:

180 x 90 = 16,200

2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)

Answers

Answer:

[tex]f(x)=x^2-x-12[/tex]

Step-by-step explanation:

Quadratic Function

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

[tex]\boxed{f(x)=x^2-x-12}[/tex]

-6(2x+3)=-12x-18
plz help i will give you braneset

Answers

Answer:

-6(2 x + 3) =-12 x-18 = 0 (after you simplify) :)

Step-by-step explanation:

If MP = 5.9, what is RN?

Answers

Answer:

A

Step-by-step explanation:

   It would be A, because the two bisector lines that cut through this trapezoid  are the same length, so 5.9-4.1=1.8. So the length of RN would be 1.8. Hope this helps!

Answer:

1.8

Step-by-step explanation:

Please hurry!!!!! Also urgent!!!!

Answers

Answer:

x=4

Step-by-step explanation:

20x+5+24x-1=180

44x=176

x=4

What is the vertex of this quadratic function.
(x-4)2 + 3 = 0

Answers

Answer:

(4, 3)

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  (x-4)^2 + 3 = f(x) (which is not 0)

Comparing:

f(x) = (x - 4)^2 + 3 to the general vertex equation

f(x) = (x - h)^2 + k

tells us that the vertex is (h, k):  (4, 3)

Devin has a furniture store. He sold a shoe rack recently for 3450. It cost him just 2300 to make the rack
What is Devin's profit percent?

Answers

Answer:

50%

Step-by-step explanation:

3450 - 2300 = 1150

1150/ 2300 × 100 = 50

Solve the simultaneous equations
x + 5y = 20
x + 3y = 14

X= ?
Y= ?

Answers

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

What is the range of the relation shown below?
{(-1, -3), (5, 5), (2, 2), (3, 0)}

Answers

(-1,-3) is the smallest and (5,5) is the largest. you have to subtract them.

The range of the function is given by R = { -3 , 5 , 2 , 0 }

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function relation be represented as set A

Now , the value of set A is given by

Set A = { (-1, -3), (5, 5), (2, 2), (3, 0) }

Now , the range is the set of outputs of a relation

So , it is the set of all possible y values in the relation

Substituting the values in the equation , we get

So , the range of the relation is set R = { -3 , 5 , 2 , 0 }

Therefore , the value of R is { -3 , 5 , 2 , 0 }

Hence , the range of the function is { -3 , 5 , 2 , 0 }

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Write the equation of a line going through the points (4,2) and (7,-3).

Answers

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Addison measured a house and its lot and made a scale drawing, The scale she used was
1 inch : 3 feet. The backyard is 10 inches in the drawing, How long is the actual yard?

Answers

Answer:

I think it's

10 X 3 = 30 feet

Solve the linear equation.
x/7 = -8

Answers

Answer:

x = - 56

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] = - 8 ( multiply both sides by 7 to clear the fraction )

x = - 56

Answer:

x = -56

Step-by-step explanation:

i just simplified both sides of the equation you could say.

Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is

Answers

Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

Step-by-step explanation:

George bought a bag of dog food that was 1/3 pounds. He fed his dog 5 times with this bag of food. How many pounds of food did he dog eat at each feeding?

Answers

Answer:

[tex]\dfrac{5}{3}\ \text{pounds}[/tex]

Step-by-step explanation:

George bought a bag of dog food that was 1/3 pounds.

George fed his dog 5 times with this bag of food.

We need to find how many pounds of food did the dog eat at each feeding. Let it be x.

[tex]x=\dfrac{1}{3}\times 5\\\\x=\dfrac{5}{3}\ \text{pounds}[/tex]

So, the dog eat [tex]\dfrac{5}{3}\ \text{pounds}[/tex] of food at each feeding.

The first term of the sequence is -9 and the common ratio is -2

Answers

Answer:

[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]

Solve |-x+ 5| = |3x – 3| by graphing.

Answers

Answer:

your points should be -1 and 2

Step-by-step explanation:

hope this helps :)

Answer:

x=-1 and 2.

Step-by-step explanation: If you have a calculator, (ti 84), go to math, and Numeric solver. insert the equations. Or you can solve this algebraically

Can someone help me with this please i know it’s probs really simple but I’m bad at maths 4/5 of 40 =

Answers

Answer:

32..is ur answer..thnk u

Step-by-step explanation:

4/5× 40

4×8

32

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