for each sequences, find the first 4 term and the 10th term the sequences are
(a) n^2+3
(b)2n^2

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule

to find the 10th term substitute n = 10 into the rule

(a)

a₁ = 1² + 3 = 1 + 3 = 4

a₂ = 2² + 3 = 4 + 3 = 7

a₃ = 3² + 3 = 9 + 3 = 12

a₄ = 4² + 3 = 16 + 3 = 19

a₁₀ = 10² + 3 = 100 + 3 = 103

(b)

a₁ = 2(1)² = 2(1) = 2

a₂ = 2(2)² = 2(4) = 8

a₃ = 2(3)² = 2(9) = 18

a₄ = 2(4)² = 2(16) = 32

a₁₀ = 2(10)² = 2(100) = 200


Related Questions

Which expression is equivalent to (4mn/m^-2n^6)^-2

Answers

The expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]

How to determine the equivalent expression?

The expression is given as:

(4mn/m^-2n^6)^-2

Apply the law of indices

[tex](4m^{1 + 2}n^{1-6})^{-2[/tex]

Evaluate the sum and the differences

[tex](4m^{3}n^{-5})^{-2[/tex]

Apply the negative exponent

[tex]\frac{1}{16m^{2*3}}}n^{5*2}[/tex]

Evaluate

[tex]\frac{1}{16m^{6}}n^{10}[/tex]

Rewrite as:

[tex]\frac{n^{10}}{16m^{6}}[/tex]

Hence, the expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ1

Solve the inequality.
|6p+3|>15

A. p>-2 or p<3
B. p<2 or p>-3
C. p<-2 or p>3
D. P>2 or p<-3

Answers

Answer:

D. P>2 or p<-3

Step-by-step explanation:

1. Apply absolute rule :

6p + 3 < -15 or 6p + 3 > 15

2.6p + 3 < -15 or 6p + 3 > 15

P < - 3 or P > 2

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
x3 – x2
–x3 + x2
–x3 + x2 – 1
x3 – x2 + 1

Answers

Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.

Given the following data:

u(x) = x⁵ – x⁴ + x²v(x) = -x²

What is an expression?

An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.

In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:

u(x) = x⁵ – x⁴ + x²

u(x) = x²(x³ – x² + 1)

Rewriting the expressions as a fraction, we have:

[tex]\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1[/tex]

Therefore, u(x)/v(x) = -x³ + x² - 1.

Read more on expressions here: https://brainly.com/question/12189823

#SPJ1

Answer:

c

Step-by-step explanation:trust

Choose the function whose graph is given by

Answers

Answer:

cos(x)+1 or cos x + 1

Step-by-step explanation:

The wave starts at y=2 this means it is a cosine function, then the first positive x-intercept is at about (pi, 0) which is about 3, this leads to cos x + 1 as the answer.

PLEASE HELP!!! find the area of the shaded triangle

Answers

Area of whole triangle= 8ft
Area of unshaded region= 4ft
8-4= 4 square feet

Answer:

4 ft squared

Step-by-step explanation:

2 add 2 is 4

4 multiplied by 4 is 16

16 divided by 2 is 8

8 divided by 2 is 4

Let R be the region in the first quadrant enclosed by the graph y=(square root(6x+4)), the line y=2x, and the y-axis. . . .Set up but do not integrate an integral,expression in terms of a single variable for the volume of the solid generated when R is revolved about the y axis

Answers

The two boundary curves y = √(6x + 4) and y = 2x meet at

√(6x + 4) = 2x

6x + 4 = 4x²

2x² - 3x - 2 = 0

(x - 2) (2x + 1) = 0

⇒   x = -1/2 and x = 2

R is bounded to the left by the y-axis (x = 0), so R is the set

R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}

Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of

2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x

and as we let ∆x approach zero, the total volume of the solid is given by the definite integral

[tex]\displaystyle \boxed{2\pi \int_0^2 x \left(\sqrt{6x + 4} - 2x\right) \, dx}[/tex]

1. How many solutions does the equation have?
8x −6(2x − 2) = -12 + 2x + 15
-
No Solutions
One Solution
OTwo Solutions
An infinite number of solutions

Answers

an infinite number of solutions

Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0

Answers

Answer:

-2x²-3x+5=0

-2x²+2x-5x + 5 = 0

-2x(x+1)-5(x + 1) = 0

(x+1) (-2x-5) = 0

(6+9i)(6-9i) How to solve?

Answers

[tex]~~(6+9i)(6-9i)\\\\=6^2-(9i)^2~~~~~~~~~~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)]\\\\=36-81i^2\\\\=36-81(-1)~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=36+81\\\\=117[/tex]

After years of successful existence, a company producing Smart TV formulated an equation for the cost P of manufacturing n number of television sets. The equation is P(n)=1200n+700. Find the cost of 50 television set.
a. Php 59,300
b. Php 60,000
c. Php 60,700
d. Php 61,200

Answers

Put n=50

P(50)

1200(50)+70060000+70060700

Option C

Answer:

C

Step-by-step explanation:

To find the cost for 50 televisions:

We put the value of n=50

P(50)

1200(50)+700

60000+700

60, 700

Option C

can someone do this for me please?! Just the answer pls

Answers

Answer:

see the attachment photo!

Multiple Choice Worth 5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x?
40⁰
D
B
70°
O 100 degrees
O 110 degrees
120 degrees
O 140 degrees

Answers

Answer:

110 is the correct answer...

the answer is 110 so it would be B


PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE

According to it, each package of Milk Chocolate M&M's should contain 24% blue,
14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's. Based on
this information determine the amount each color of M&M's would be in a bag of
M&M's

Answers

Answer:

See below

Step-by-step explanation:

Given there are 56 M&M's:

Expected Value of Blue = 56(0.24) = 13.44Expected Value of Brown = 56(0.14) = 7.84Expected Value of Green = 56(0.16) = 8.96Expected Value of Orange = 56(0.20) = 11.20Expected Value of Red = 56(0.13) = 7.28Expected Value of Yellow = 56(0.14) = 7.84

Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.

Anya graphed the line (y−2)=3(x−1) on the coordinate grid.

A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).

What is the slope of Anya’s line?

Answers

The slope of Anya’s line on the graph is 3

How to determine the slope of the line?

The equation is given as:

(y−2)=3(x−1)

Remove brackets

y − 2 = 3x − 3

Add 2 to both sides

y = 3x − 1

A linear equation is represented as:

y = mx + c

Where m represents the slope;

By comparison, m = 3

Hence, the slope of Anya’s line is 3

Read more about slope at:

https://brainly.com/question/1884491

#SPJ1

Answer:

3

Step-by-step explanation:

its right

What is GC?
A. 9
B. 12
C. 13
D. 14

Answers

Answer:

C 13

Step-by-step explanation:

i think answer its c

Answer:

nah man it's 12without a doubt look over at d a that's 13 if you compare the to gc is smaller in length so it is 12

Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.

Parallel to y=−3/4x, through (4, -1)

Answers

Answer:

y = -3/4x + 2

Step-by-step explanation:

The line is parallel to y = -3/4x and passes through the point (4, -1)

=============================================================

Solving :

⇒ As they are parallel, the slope remains the same (-3/4)

Now apply into the point slope formula :

⇒ y + 1 = -3/4 (x - 4)

⇒ y + 1 = -3/4x + 3

y = -3/4x + 2 [in slope-intercept form]

Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
y
1
16
2
8
3
0
4
-8
5
-16
A. The data represent an exponential function because there is a
common ratio of 2.
B. The data represent a linear function because there is a common
difference of 8.
OC. The data represent a linear function because there is a common
difference of -8.
D. The data represent an exponential function because there is a
common ratio of 1

Answers

Answer:

A data represent an exponential function because there is a common ratio of 1

37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280

Answers

The equation that models the scenario is 16p+32q = 1,280.

Which equation models the scenario?

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

1. Basketball practice begins at 6:30 P.M. and
lasts until 8:15 P.M. How much time does
practice last?

Answers

1 hour and 45 minutes

what is measured by the speed of doing work

Answers

Power is often measured in joules of work per second

True or False? A circle could be circumscribed about the quadrilateral below.
O A. True
B. False

Answers

The Answer is A, which is true.

A circle could be circumscribed about the quadrilateral is true.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points

If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.

Here, the opposite sides are 115 and 65

115+65=180

The other opposite sides have 90 and 90

90+90=180, which means that it is true that a circle can be circumscribed about the quadrilateral above.

Hence, A circle could be circumscribed about the quadrilateral is true.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ7

1. A basketball has a volume of 167 in³. What is the circumference of the basketball, in terms of ? Show your work.​

Answers

Answer:

21.47034391

by using the formula of volume i found radius and after that i use the formula of circumference and found it

hope you will understand

volume=4/3πr^3 and circumference= 2πr

Answer this for 28 points

Answers

Answer: I think B

Step-by-step explanation:

Which equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17)?

Answers

Answer: y - 17 = -2(x-7)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = 9+17/-6-7

   = 26/-13

   = -2

y1 = -17

x1 = 7

y - 17 = -2(x-7)

The equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

What is the general equation of a straight line?

The general equation of a straight line is-

y = mx + c

where, m is the gradient and is given by y₂ - y₁/x₂ - x₁

and, c is the value where the line cuts y-axis.

Now it is given that the line passes through points (−6,9) and (7,−17)

Therefore we have,

x₁ = -6, y₁ = 9, x₂ = 7, y₂ = -17

So, the slope m of the line is given as,

m = (y₂ - y₁)/(x₂ - x₁)

Put the values,

m = (-17 - 9)/(7 - (-6))

m = -26/7+6

m = -26/13

m = -2

Thus, the equation parallel to the line will be given as:

y - y₁ =  m(x - x₁)

y - 9 =  -2{x - (-6)}

y - 9 =  -2(x + 6)

y =  -2x - 12 + 9

y =  -2x - 3

Thus, the equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

More about equation of line :

brainly.com/question/14200719

#SPJ2

somebody pls help me with this question pls

Answers

292in^3
3x6x10=180 because I’ve split the shape in half
7x4x4=112
180+112=292

A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45

Answers

Answer:

162 metres

Step-by-step explanation:

Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.

Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get

10^2/8 = 45^2/h2

h2 = 45^2/(10^2/8) = 162 metres

I hope this helps!

53, 13, 34, 41, 26,61, 34, 13,69 mean median mode and range

Answers

Answer:

mean 38.22

median 34

mode 13 & 34

range 56

Step-by-step explanation:

mean- add all values together and divide by number of values

median- order from least to greatest find the middle value

mode- the value that appears most often, can be more than one value

range- smallest value subtracted from the largest

In a a computer game positive numbers represent earning points and negatiive numbers represents.wich number represents losing more than 500 points

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,

x< -500

Hence, the expression that represents losing more than 500 points is x<-500.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Triangle ABC is an isosceles right triangle. What is the measure of one base angle?

Answers

Answer:

45°

Step-by-step explanation:

ΔABC is an isosceles right triangle. So, one angle is 90°

In an isosceles triangle, base angles are congruent.

Let the base angles be x ,x

x + x +90 = 180 {Angle sum property}

   2x + 90 = 180

          2x  = 180 - 90

          2x = 90

            x = 90/2

           x = 45

Base angle = 45°

How would you solve this problem step by step ?

4√15(2√2 + √5)

Answers

[tex]~~4\sqrt{15} \left( 2\sqrt 2 + \sqrt 5 \right)\\\\=8\sqrt{15} \sqrt 2 + 4\sqrt{15} \sqrt 5\\\\=8\sqrt{15\times 2}+4 \sqrt{15 \times 5}\\\\=8\sqrt{30}+4\sqrt{3 \times 5 \times 5}\\\\=8\sqrt{30} + 4 \sqrt{3\times 5^2}\\\\=8\sqrt{30} + 4\cdot 5 \sqrt 3\\\\=8\sqrt{30} +20\sqrt{3}[/tex]

Other Questions
Read the lines from Paradise Lost.Th' Arch-Angel stood, and from the other HillTo their fixt Station, all in bright arrayThe Cherubim descended; on the groundGliding meteorous, as Ev'ning MistRis'n from a River o'er the marish glides,And gathers ground fast at the Laborer's heelHomeward returning.Which of these epic conventions is not illustrated in these lines?A)elevated styleB)invocation of a MuseC)supernatural forcesD)epic simile What is Musical syncretism Why was Alexander Hamilton considered a Federalist? He wanted a stronger central government. He wanted a stronger state government. He wanted to be president. He wanted the U.S. to be independent. Solve this problem, and identify the percent, amount, and base. What percent 60 of 15 is ? For positive acute angles A and B, it is known that sin A = 24/25 and cos B = 11/61Find the value of cos(A + B) in simplest form Albinism is a recessive trait. A man and woman are both of normal pigmentation, but both have one parent who is albino (without melanin pigmentation). What is the probability that their first child will be an albino What is the direction of a current that experiences the magnetic force shown aboveeastsouthnorthwest A survey was conducted by a pet store to find the number of cats and dogs owned by people in a neighborhood block. The results of the survey are represented in this Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The vertical scale is too high. B. The vertical scale should not start at zero. C. The bars are not the same width. D. The bars are not the same height. 3. Why did the colonies depend on Europe for trade? If you use pyrotechnic visual distress signals, how many unexpired vdss must you carry on board your vessel?. Help! I need to finish but I'm stuck! Will give brainliest!The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.Which of the following expressions represents the area of the shaded figure?2(18 + )2(12 + )4(9 + 2 )8(3 + ) 4 < x < 7Please give me a proper explanation. Qu necesita mi pap?Lessons Assessments Gradebook Email ( ToolsNecesita comprar el espejo en el bao.Necesita el papel higinico en la sala.Necesita tener el indoro en la cocina.My Ca How much volume (in cm^3)is gained by a person who gains 11.8 lb of our fat? Human fat has a density of 0.918 g/cm^3 Choose the correct answer below: A- A rate is just a different name for a ratio. The terms are interchangeable B-a rate refers to the reduced form of a ratio C-rates are a special type of ratio that always have a 1 in the denominator D- rates are a special type of ratio used to compare different kinds of quantities Which of the following best states what a listener can learn from the tone of aspeech?OA. The attitude of the speakerOB. The evidence the speaker uses to support a claimOC. The place where the speaker gives the speechOD. The structure of the speechSUBMIT Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3), and the coordinates of point D are (8,5).The equation of line CD is y = Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.So, the probability of getting two yellows is 1/3Do you agree or disagree? Explain your thinking. If m2 = 137 and mP = 22, what is mO? All the following ions have the same charge except Group of answer choices oxide. monohydrogen phosphate. peroxide. permanganate. oxalate.