Mathematics High School

For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

Related Questions

A solution containing 94.4 mL of carbon tetrachloride, CCl4, dissolved in 250.0 mL of nitrobenzene, C6H5NO2, was placed in the freezer, which dropped the temperature to 0°C. Did the solution freeze at that temperature? If so, at what temperature? The density of CCl4 is 1.59g/cm3. The density of C6H5NO2 is 1.2 g/cm3.

Answers

Answer:

No, it would freeze at -16.61°C.

Step-by-step explanation:

This is a practice delta math but i need help.

Answers

Answer:

it is the one that goes [tex]a_{n} =10(-2)^{n}[/tex]

Step-by-step explanation:

10 is the starting term a(sub 1). 2 is r or the common ratio and n is the term number you want to find. I hope this helps!

What is the definition of the term CONSTANT? *

Answers

Answer:

It's an adjective. means regularly occurring, persustent; or, unchanging, in value, nature, or respect.

PLz help it will help me so much :]

Answers

Answer:

No, not enough information

Step-by-step explanation:

The information given can't help you determine the measurement of the angle, it just tells you the position of the angle.

helppp me on this
Twentycharacters

Answers

Answer:

yes

Step-by-step explanation:

What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism? LOTS OF POINTS

Answers

Answer: 96in²

Step-by-step explanation:

A cube is the most efficient rectangular prism in terms of surface area.

A rectangular prism where l = 4in w = 4in h = 4in has a volume of 64in³

This rectangular prism has a surface area of 96in²

Answer:

96

Step-by-step explanation:

please answer, no need for explanation:) ​

Answers

Answer:


For question a)

HELLp NOWWEEE I really need it plsss

Answers

Answer: diameter is 5.2 radius is 2.6

Step-by-step explanation:


A rental car company charges $35 a day plus $0.15/mi for a mid-size car. A customer owes
$117.15 for a three-day rental. How many miles did the customer drive?

Answers

Answer:

81 Miles

Step-by-step explanation:

117.15-(35*3)=12.15

12.15/.15=81

Mount Whitney Trail starts at an elevation of 8,350 ft above sea level and ends at an elevation of 14,500 ft above sea level. The temperature changes by -5.4 F for every thousand feet gained in elevation. What is the change in temperature from the starting elevation to the ending elevation of Mount Whitney Trail?​

Answers

Answer:

I would think -32.4. - Tell me if I am wrong

Step-by-step explanation:

I hope this helps :)

The area of a trapezoid is 15 cm2. The height is 3 cm, and the bases have lengths of 2x and 3x cm. Find x, and give the lengths of the two bases.

Answers

Answer:

x = 2, bases are 4 cm and 6 cm

Step-by-step explanation:

Area formula:

A = 1/2(b1 + b2)h

Substitute the given values:

15 = 1/2(2x + 3x)(3)1/2(15x) = 15x = 2

The bases are:

b1 = 2*2 = 4 cmb2 = 3*2 = 6 cm

6*10^8 is how many times as large as 2*10^3?

Answers

300,000 I hope this helps!

Answer:

300000

Step-by-step explanation:

Write an equivalent expression for 5(3h + 2) - 6.

Answers

Answer:

15h + 4

Step-by-step explanation:

5(3h + 2) - 6

Distribute

5 x 3h = 15h

5 x 2 = 10

rewrite equation

15h + 10 - 6

Subract

10 - 6 = 4

Hope This Helps!! :)

15h + 4 that’s the answer to this question.

The sum of the measurements of two angles is 107.3 . One angle has a measure of 51. What is the measure of the second angle.Write an inequality please ..

Answers

Answer:

bcthjhrthtgtgtvrb

Step-by-step explanation:

Answer:

juhgyftchhgjhku

Step-by-step explanation:

What is the 7th term of the sequence below? 2, 10, 50, 250, …

Answers

12,500
I think but I’m not sure lol

Solve using the order of operations. (9+9+72)-4+9

PLZ ANSWER PLZ HURRY​

Answers

Answer:

95

Step-by-step explanation:

The order of operations is PEMDAS

Equations in PARENTHESES come first

Numbers with EXPONENTS come second

MULTIPLICATION/DIVISION problems come next (depending on which comes first in the equation

ADDITION/SUBTRACTION comes last (again, depending on which comes first in the equation)

So we do (9+9+72) first

So that equals 90

And then we subtract 4 from 90

90 - 4 = 86

Then we add 9 to 86

86 + 9 = 95

Answer: 72 is the answer

Find the measure of the missing angle. *
156°
?
20°
35°

Answers

149

How to:
A four sided shape equals to 360 degrees

What are the x- and y-intercepts?

0,3
1,20
3,36
5,28
7,0

Answers

The required x-intercept is (7, 0) and the y-intercept is (0, 3).

What is the intercept in the equation?

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
To find the x-intercept, we need to find the point at which the graph intersects the x-axis. This occurs when the y-coordinate is zero.

The x-intercept is therefore (7, 0).

To find the y-intercept, we need to find the point at which the graph intersects the y-axis. This occurs when the x-coordinate is zero.

The x-intercept is therefore (0, 3).

Thus, the x-intercept is (7, 0) and the y-intercept is (0, 3).

Learn more about intercept here:
https://brainly.com/question/3605446

#SPJ1

khanya builders are paid R480 for 8 hours of work,whiles rex builders are paid R660 for 12 hours of work.which company is paid the higher rate​

Answers

Answer:

khanya pays higher

Step-by-step explanation:

You have to find the $/hr ratios:

khanya's is 480/8->$60/hr

rex's is 660/12->%55/hr

Khanya pays the higher rate

what degrees did Rosa Parks earn?
Plzzz help

Answers

Answer:

she Earned freedom and justice

Mrs. Parks received more than forty-three honorary doctorate degrees, including one from SOKA UNIVERSITY, Tokyo Japan, hundreds of plaques, certificates, citations, awards and keys to many cities. Among them are the NAACP's Spingarn Medal, the UAW's Social Justice Award, the Martin Luther King, Jr.

plz help, the picture is my question​

Answers

Answer:

c and d

Step-by-step explanation:

alternate interior angles are angles on different sides, but they at interior (inside)

Answers are 6 and 7, 2 and 3

The scale on a map is 2 cm: 25 miles. The distance between the two cities on the map is 7 cm. What is the actual distance between the cities?

Answers

Answer:

87.5 miles

Step-by-step explanation:

2cm = 25 miles

7/2 = 3.5

3.5 x 25 = 87.5

2/3(x+6)=-8 whats the value of x?

Answers

Answer:

x=-18

Step-by-step explanation:

Answer:

The answer is -18

Step-by-step explanation:

STEP 1:

[tex]3 \times \frac{2}{3} (x + 6) = 3( - 8)[/tex]

2(x+6) = -24

______________________________________

STEP 2:

Divide both sides by 2:

[tex] \frac{2(x + 6)}{2} = \frac{ - 24}{2} [/tex]

________________________________

STEP 3:

Simplify:

[tex]x + 6 = - 12[/tex]

Subtract 6 from both sides:

[tex]x + 6 - 6 = - 12 - 6[/tex]

________________________________

STEP 4:

[tex]x = - 18[/tex]

Therefore, your answer is -18.

Ask more questions if you don’t understand! :)

Find the square root of 25x^2-40xy+16y^2​

Answers

The square root of [tex]25x^2-40xy+16y^2[/tex] is 5x - 4y.

Given that,

The quadratic equation is [tex]25x^2-40xy+16y^2[/tex].We need to find out the square root.

Based on the above information, the calculation is as follows:

[tex]= 25x^2-40xy+16y^2\\\\= (5x)^2 - (2\times 5x \times 4y) + (4y)^2\\\\= (5x - 4y)^2\\\\= \sqrt{ (5x - 4y)^2}[/tex]

= 5x - 4y

Therefore we can conclude that the square root of [tex]25x^2-40xy+16y^2[/tex] is 5x - 4y.

Learn more: brainly.com/question/9664917

3)
Solve the inequality for x.
- 4x + 16 > -64
A)
X> 12
B)
X > 20
x < 12
D
x < 20

Answers

Answer:

D: x < 20

Step-by-step explanation:

-4x + 16 > -64

subtract 16 from both sides because you must isolate x.

-4x + 16 - 16 > -64 - 16

-4x > -80

Then divide -4 on both sides... I believe that when you divide a number by a negative number you must flip the sign...

-4x/ -4 < -80/ -4

        x < 20

(negative divided by a negative will result in a POSITIVE.)

Hope this helped... I truly apologize if this is wrong..

Write a recursive formula for the sequence: −3, 34, −316, 364, −3256

Answers

Answer:

-7

Step-by-step explanation:

Rewrite each equation, then graph
the line
6x + 3y = 12

Answers

Here is the answer. I’m not so sure if my answer is correct about which side should it be shaded and whether it’s a dotted or solid line, but I hope you will get some sort of idea .

x + 2y = 6
y = [?] x/? + ?

What’s the [?] a + or a - ?

Answers

Answer:

I think this is the answer I'm not 100% sure y = -1/2x + 3.

x + 2y = 6
2y = -x + 6
y = - 1/2x + 3

Which of these needs to be completed first in order to construct a circle that circumscribes a triangle?

A. the perpendicular bisectors of any two sides of the triangle

B. the lines perpendicular to any two sides of the triangle

C. the altitudes of any two sides of the triangle

D. the medians of any two sides of the triangle

Answers

Step-by-step explanation:

step 1. draw a perpendicular bisector for 2 sides of a triangle.

step 2. where they cross is the center of the circle.

step 3. construct a circle starting at one triangle point and the circle will connect all triangle points.

What is the greatest common factor of the number pair 6x and 9x

Answers

Answer:

gcf is 3x. pls mark brainliest

Step-by-step explanation:

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