The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answers

Answer 1

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7


Related Questions

PLEASE HURRY 40 POINTS

Answers

Answer:

3√5

Step-by-step explanation:

Hope this helps you ......

Can someone solve this/give me an answer choice??ASAP if possible

Answers

Answer:

Step-by-step explanation:

C is right.

5(a + b + c + d)

when you express it it's gonna be 5a + 5b + 5c + 5d

Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?

Answers

Step-by-step explanation:

the description is very difficult to understand with special characters and potential typing errors.

I suspect the definition is

function(x) = 32 - x²

function(-5)function(-5) is then very easily calculated.

we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.

function(-5) = 32 - (-5)² = 32 - 25 = 7

so,

function(-5)function(-5) = 7 × 7 = 49

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Answers

Answers

1. B) 31
2. B) 4
3. A) 15
4. D) 24
5. A) 3

MARK BRAINLEIST PLS THIS TOOK A LOT OF TIME

At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 3.5 inches tall. At what rate is the height of the candle decreasing?


Answers

Answer: 5 inches per hour or 2.5 inches per half an hour

Step-by-step explanation:

Amount of Time Passed: 2 hours 30 minutes

Difference in Candle Height: 12.5 inches

12.5 / 2.5 = 5 inches

5 inches per hour or 2.5 inches per half an hour

If it is incorrect, please let me know.

PLEASEEEE HELPPPPPP ASAPPPPP

Answers

Answer:

7.07

Step-by-step explanation:

Angle M is 63 degrees because all 3 angles must add to 180.  

Now use the law of sines:  

sin(90)/x = sin(63)/6.3  

Cross multiply: 6.3 sin (90) = x sin (63)  

Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x  

Use a calculator: 7.07

A musician has just purchased a theremin — an instrument that can be played by moving your hands in the air. For every 30 centimeters that she moves her hand away from the theremin’s antenna, the pitch of the theremin’s sound drops 500 hertz. By how many hertz does the pitch drop for every meter that she moves her hand away?

Answers

Answer:

1665 hertz

Step-by-step explanation:

30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)

my Christmas present to you​

Answers

merry Christmas to you!

When you subtract a number, you get the same results as when you add the opposite number. Why?

Answers

Answer:

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

simplify 6x-3 + 2x+5​

Answers

Answer:

8x + 2

Step-by-step explanation:

Like terms:

6x and 2x

-3 and 5

6x + 2x = 8x

5 - 3 = 2

8x + 2

Answer:

x = 1

Step-by-step explanation:

6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1

what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)

Answers

The slope of the line that is perpendicular to line AB is: 1/2.

Recall:

If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given:

A(-1,10)

B(5,-2)

Slope of AB:

[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]

The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.

Therefore, the slope of the line perpendicular to AB is: 1/2.

Learn more about slope of a line perpendicular to a line on:

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Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O​

Answers

Answer:

A

Step-by-step explanation:

60 is 15% of what number?

Answers

Answer:

400 is the number

Step-by-step explanation:

Is means equals and of means multiply

60 = 15% * W

Change to decimal form

60 = .15W

Divide by .15

60/.15 = .15W/.15

400= W

???????? Helppppppppp

Answers

In ∆RAM and ∆REP

m<E=m<A

Let's check ratio

[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]

Hence

option B is correct

Answer:

[tex]second \: one \: is \: correct[/tex]

graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary

Answers

I hope this helps you. Give a like

The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.

The local minimum is 1.

The function is increasing at the interval (-1.5, 0.5) and (1, ∞).

The function is decreasing at the interval (∞, -1) and (0, 1.5).

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = [tex]x^4[/tex] - 3x² + x

The x-intercept is when h(x) = 0.

0 = [tex]x^4[/tex] - 3x² + x

From the graph, we see that,

The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5

Now,

h(x) = [tex]x^4[/tex] - 3x² + x

h'(x) = 4x³ - 6x

h''(x) = 12x² - 6 (positive)

So,

h(x) has a minimum value.  

h'(x) = 0

4x³ - 6x = 0

4x³ = 6x

4x² = 6

x² = 6/4

x² = 3/2

x² = 1.5

x = ±√1.5

x = ±1.22

The minimum values are:

h(1.22) =  [tex]x^4[/tex] - 3x² + x = -1

h(-1.22) =  [tex]x^4[/tex] - 3x² + x = 1

The local minimum is 1.

From the graph, we see that,

The function is increasing at the interval (-1.5, 0.5) and (1, ∞).

The function is decreasing at the interval (∞, -1) and (0, 1.5).

Thus,

The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.

The local minimum is 1.

Increasing intervals are (-1.5, 0.5) and (1, ∞).

Decreasing intervals are (∞, -1) and (0, 1.5).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

First person to answer will get brainliest and it has to be in 4 or less minutes

Answers

fam idek i just need to answer 2 questions but wys

Are the ratios 12:6 and 2:1 equivalent?

Answers

Answer:

no

Step-by-step explanation:

https://brainly.com/question/18232055

Answer:

Yes!

Step-by-step explanation:

Here, ratios can be rewritten by fractions.

12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,

2:1 is also [tex]\frac{2}{1}[/tex] which is 2.

To get 12 from 2, you multiply by 6.

Multiply the same thing to the denominator(1), and you get 6. So:

12:6 = 2:1

Suppose you were given this table. Select all of the true statements.

x y
6 3
12 6
18 9
24 12


The ratio of x to y is the slope.



The ratio of y to x is the slope.




The equation of the graph is y = 2x.




The equation of the graph is y = 12
1\2x

Answers

Answer:

The ratio of y to x is the slope

The equation of the graph is y = 1/2x

Step-by-step explanation:

In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.

I need help please and explain your answer it’s number 4

Answers

Answer:

29

Step-by-step explanation:

Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression

3 * 4^2 - 7 * 4 + 9

3 * 16 - 28 + 9

= 29

Show all work pls ty (:

Answers

There hope it helps ÙnÚ

5. Which of these points is in the second quadrant?
A. (-3,0)
B. (-4,3)
C. (2, 2)
D. (2,-2)

Answers

Answer:

A

Step-by-step explanation:

A is locate in the second quadrant

Answer is A ur gonna get a 109 cause I’m so smart

HELP 15 PNTS.
IF CORRECT, WILL MARK BRILLIANT

Answers

Answer:

2nd question 4y is a coefficient

Step-by-step explanation:

4y^2 - 18y + 2

4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right

Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).

Answers

The correct option is C. (4,7).

Given equations,

[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]

We have to solve the equations.

From equation 1 put the value of y in equation 2 we get,

[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]

Now putting the value of x in equation 1 we get,

[tex]y=4+3\\y=7[/tex]

Hence the required solution of the above equations is (4,7).

For more details on equation in two variables follow the link:

https://brainly.com/question/10824691

han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?

Answers

Answer:

$57.75

Step-by-step explanation:

7×33/4

231/4

57.75

, find the value of
[tex] {x}^{2} + \frac{1}{ {x}^{2} } [/tex]


Answers

[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]

4b + 8 / -2 = 10
what is the answer

Answers

Answer:

7/2

Step-by-step explanation:

4b+8/-2=10

4b-4=10

4b=10+4

4b=14

b=14/4

simplify

b=7/2

through: (3, 5), slope = 5/3
Explain please

Answers

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

Sheldon and Leonard our partners in a business Sheldon makes two dollars in profit for every five dollar that Leonard makes. If together they make a profit of $28 on the first item they sell how much profit does Sheldon make

Answers

Answer:

Sheldon makes $8 profit

Step-by-step explanation:

The fraction of the profit that belongs to Sheldon is ...

  Sheldon / Leonard = 2 / 5

  Sheldon / Total = 2 / (2 + 5) = 2/7

Then Sheldon's portion of the $28 profit is ...

  Sheldon's profit = 2/7 × $28 = $8

Sheldon makes $8 profit on the first item they sell.

Calculate the measure of the arc PQ.

Answers

Answer:

arc PQ = 124°

Step-by-step explanation:

The inscribed angle PRQ is half the measure of its intercepted arc PQ, so

arc PQ = 2 × 62° = 124°

Answer:

  124°

Step-by-step explanation:

Inscribed angle PRQ is half the measure of intercepted arc PQ.

  1/2(PQ) = 62°

  PQ = 124° . . . . . . multiply by 2

i need help with this!!

Answers

Answer:

8x-4<-36+4

8x<-32

----

8

x<-4

Answer:x<-4

Step-by-step explanation:

you would have to show your work and do it step by step and and dont stress about it

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