Mathematics College

The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?
Question 2 options:

16

40

46

52

Answers

Answer 1

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.

Related Questions

Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2

Answers

Answer:

x=65

Angle 1=65

Angle 2=115

Step-by-step explanation:

We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.

The area of the triangle below is 23.4 square inches. What is the length of the base?

Answers

Answer:

zxcfghg

Step-by-step explanation:

xsdfghj

5.6(x - 3) = -0.4x + 19.2

Answers

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.

Answers

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

DONT SCAM ME WITH A LINK

Answers

Answer: 2

600/3 = 200 meaning that each gallon of paint covers 200 sq ft

A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

Answers

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST

Answers

Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.

Answers

Answer:

The shorter base is 3

Step-by-step explanation:

[tex]a = \frac{(b1 + b2)}{2} \times h[/tex]

[tex]52 = \frac{(10 + b2)}{2} \times 8[/tex]

[tex]b2 = 3[/tex]

Simplify the expression: 15i ⋅ 4i

Answers

Answer:

I think the answer is 11i

there is the correct answer.

write 3^n/9^(n-1) as a power of 3​

Answers

The correct answer is 3^(2 - n)

please help, due today!

Find the length of the radius of the circle.
a. r = 3 d. r = 5
b. r = 4 e. r = 6
c. r = 4.5

Answers

Answer:

D) r=5

Step-by-step explanation:

Any triangle formed with one side of the triangle being the diameter of the circle it’s inscribed in will be a right triangle.

6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

So the diameter is 10.  That makes the radius 5.

63/4 divided by 41/2

Answers

Answer:

63/328

Step-by-step explanation:

simplify the expression: 1-sin^2x/secx

Answers

Answer:

cos (x)

Step-by-step explanation:

write an equation for the nth term of the arithmetic sequence. Then find a40.

1/4,1/2,3/4,1,...​

Answers

Answer:

The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

1/4,1/2

This means that:

[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]

1/4

This means that [tex]a_1 = \frac{1}{4}[/tex]

The nth term is:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]

Then find a40.

[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]

So

a40 = 10

What is the angle of rotation of the figure?
A. 30°
B. 60°
C. 72
D. 120

Answers

Answer:

b

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

cause it looks like its only slitly rotated


You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

  (a)  ∠HIK and ∠GFD

Step-by-step explanation:

In this geometry, there are only two pairs of alternate exterior angles:

  ∠HIK and ∠GFD

  ∠JIK and ∠EFD

Of these, only the first pair is among the answer choices.

__

Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.

helpppppppppppp meee
​

Answers

Answer:

-8

Step-by-step explanation:

Plz give brainliest

i dont have any

-8 is the correct answer!-1 - 7is the same as-1 + -7

If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.

Answers

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

4≤n−4. a little help?

Answers

Answer:

Just isolate the variable by performing inverse operations. Its like solving an equation but the sign is different.

Step-by-step explanation:

Well add 4 to both sides

8≤n

Thats basically it

Answer:

n ≥ 8

Step-by-step explanation:

We want to isolate n to solve the inequality. To do that, you add 4 to both sides, so 4 + 4 = 8 on the left and n - 4 + 4 = n on the right. That leaves you with 8 ≤ n, or n ≥ 8.

What figure can be made using the net shown?

a triangular prism
a rectangular prism
a triangular pyramid
a rectangular pyramid

Answer:
A rectangular pyramid

Answers

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

What is Difference between Pyramid and Prism?

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

Learn more about Prism and Pyramid here:

https://brainly.com/question/1558408

#SPJ5

Jake ran a full marathons of 26 miles. His average speed was 6 miles per hour. About how long did it take him to cross the finish line?

Answers

Answer:

Step-by-step explanation:

273m

Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.

Answers

They can buy 6 workbooks with $90. To find the unit rate we simply divide the cost ($60) by the number of books (4). That gives us $15, the cost of 1 workbook. So now to find out how many workbooks can be purchased with $90, we divide 90 by 15. That’s how I got 6 workbooks. Hope this helps.

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?

Answers

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.

f(x) = -2x2 + 32x - 126

Answers

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?

Answers

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

What is the measure of each angle of a regular 26-gon?

Answers

Answer:

Angle of Regular polygon = 166.15° (Approx.)

Step-by-step explanation:

Given:

Regular polygon with 26 sides

Find:

Measure of each angle of Regular polygon

Computation:

Angle of Regular polygon = [(n-2)180] / n

where n = number of sides

Angle of Regular polygon = [(26-2)180] / 26

Angle of Regular polygon = [(24)180] / 26

Angle of Regular polygon = [4,320] / 26

Angle of Regular polygon = 166.15° (Approx.)

I just need the q1 med and q3

Answers

Answer:

Q1 = 6

Med = 12

Q2 = 15

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample​ values, x_ = 33.2​hg, and s = 2.9 ​hg?

Answers

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)

Answers

I think the answer is A, but im sorry if its wrong

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

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