The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.

Answers

Answer 1

Answer:

sequence is 19, 15, 11 ....

so nth term is : -4n+(19+4)

therefore : -4n + 23

Answer 2

Answer:

-4n + 23

Step-by-step explanation:


Related Questions

The surface area of a sphere with a diameter of 12 units is:

Answers

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to orange marbles is 3 : 4 what is the ratio of green marbles two orange marbles

Answers

Answer:

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

Step-by-step explanation:

Let G, Y and O represent green, yellow and orange marbles respectively.

Given;

the ratio of green marble to yellow marble is 2 : 5

G:Y = 2:5

G/Y = 2/5

the ratio of yellow arbles to orange marbles is 3 : 4

Y:O = 3:4

Y/O = 3/4

the ratio of green marbles to orange marbles G:O;

G/O = G/Y × Y/O

Substituting the values;

G/O = 2/5 × 3/4

G/O = 3/10

G:O = 3:10

the ratio of green marbles to orange marbles is 3:10

5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?​

Answers

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30

Answers

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

Answer:

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580

Answers

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

Answer:

D

Step-by-step explanation:

At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?

Answers

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16

Answers

Answer:

D

Step-by-step explanation:

When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.

Answer:

D.) 16

Step-by-step explanation:

Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

The graphs show the distances traveled by two cars moving at constant rates which unit rate matches these 2 graphs pls helpppp

Answers

Answer:

i think is (0.5,25)

Step-by-step explanation:

becuse at the time they have the same speed

Answer:

z

Step-by-step explanation:

z

12:13:14 = 48:x:56
What is x?

Answers

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?​

Answers

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

what is a graph that has a limited number of data point

Answers

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5

Answers

Step-by-step explanation:

8-4(-x + 5)

8 + 4x - 20

4x - 12

2)If triangle RPQ is a right angled triangle at Q. If PQ = 5cm and RQ = 10 cm,find (i) sin ^2 P (ii) cos ^2 R and tan R (iii) sin P X cos P (iV) sin ^2 P –cos ^2p

Answers

Answer:  (i) 1       (ii) 3/4 , √3/3       (iii) 0       (iv) 1

Step-by-step explanation:

ΔRPQ is 1 30°-60°-90° triangle because RQ = 2PQ , where

∠R = 30°∠P = 90°∠Q = 60°

(i) sin² (90°) = 1² = 1

[tex]\text{(ii)}\ \cos ^2(30^o)= \bigg(\dfrac{\sqrt3}{2}\bigg)^2=\dfrac{3}{4}[/tex]

[tex].\quad \tan (30^o)=\dfrac{1}{\sqrt3}\bigg=\dfrac{\sqrt3}{3}[/tex]

(iii) sin (90°) × cos (90°) = 1 × 0 = 0

(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1

Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?

Answers

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

What is the distance on a Cartesian coordinate plane from (1, -1) to (7, 7)?

Answers

Answer:

10

Step-by-step explanation:

Use the distacne forumla to find the differnece between the two points.

-5(x - 1) = 2x - 7x + 5

Answers

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

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

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

What is the decimal multiplier to decrease by 1.7%?

Answers

Answer:

0.983

Step-by-step explanation:

100(0.983)=98.3

Answer:

[tex]0.983[/tex]

Step-by-step explanation:

[tex]\frac{100-17/10}{100}[/tex]

[tex]\frac{100-1.7}{100}[/tex]

[tex]=0.983[/tex]

Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?​

Answers

Answer:

1_11/20 pounds, or 1.55 pounds.

Step-by-step explanation:

Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.

Points C, D, and G lie on plane X. Points E and Flie on
plane Y
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
X
B
There is exactly one plane that contains points E, F,
and B.
A
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and
E

Answers

Answer:2nd, 3rd and 4th

Step-by-step explanation:

I NEED HELP PLEASE, THANKS! :)

Answers

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

Can somebody help me with this ?? :)

Answers

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

The correct answer is b

The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle​

Answers

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz

Answers

Answer:

D.

Step-by-step explanation:

So angle 2 = 180 - angle 1

Angle 1 = angle 3 + angle 4.

Angle 2 = 180 - angle 3 - angle 4

So, you can come to the conclusion that (angle 1 + angle 2) = 180°

and (angle 3 + angle 4 + angle 2) = 180°

Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14

Answers

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

What is Trinomial?

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

= x( x- 14) + 2 (x+ 14)

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

Learn more about Trinomial here:

https://brainly.com/question/16347049

#SPJ2

Angela is following this recipe to make biscuits.
Angela uses 1.8 l of syrup.
How much margarine is needed in kg?

Recipe: Makes 10 biscuits
150 g margarine
180 g sugar
225 ml syrup
225 g oats
40 g sultanas
Asapppp

Answers

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

Please answer within 5 minutes for brainliest!!!!

Answers

Answer:

y=4x-9

Step-by-step explanation:

Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?

Answers

Step-by-step explanation:

5f

5 + n times of a number

ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5

Answers

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is equivalent equations?

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

Learn more about equation here:

https://brainly.com/question/13170101

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find the surface area of sphere please help me i’ll give u brainlest

Answers

Answer:

[tex]Surface Area = 84.9 cm^2[/tex]

Step-by-step explanation:

Surface Area = [tex]4\pi r^2[/tex]

Putting r = 2.6 cm

SA = 4(3.14)(2.6)²

SA = 4(3.14)(5.76)

SA = 84.9 cm²

Answer:

[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]

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