Find the 75th term of the arithmetic sequence -21, -10,1, ...

Answers

Answer 1

Answer:

a(75) = 793

Step-by-step explanation:

Arithmetic Explicit Formula: an = a1 + (n-1)d

Step 1: Find equation

d = (1-(-10)) = 11

a1 = -21

an = -21 + 11(n-1)

Step 2: Plug in 75 as n

a(75) = -21 + 11(75-1)

a(75) = 793

And we have our final answer!


Related Questions

Can you help me with this question

Answers

Answer:

-1.67

Step-by-step explanation:

what is the graph of y > x2-9.​

Answers

Answer:

The 1st graph

Step-by-step explanation:

When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.

Find the value of the unknown in the equation 4p + 2 = 8
a) p = 0
b) p = 2.3
c) p = 1.5
d) p = 4

Answers

Answer:

Option C

Step-by-step explanation:

=> 4p + 2 = 8

Subtracting 2 to both sides

=> 4p = 8-2

=> 4p = 6

Dividing both sides by 4

=> p = 1.5

Answer:

The answer is C.

Step-by-step explanation:

First, you have to subtract 2 to both sides :

[tex]4p + 2 = 8[/tex]

[tex]4p + 2 - 2 = 8 - 2[/tex]

[tex]4p = 6[/tex]

Next, you have to divide it by 4 :

[tex]4p = 6[/tex]

[tex]p = 6 \div 4[/tex]

[tex]p = 3 \div 2[/tex]

[tex]p = 1.5[/tex]

Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)

Answers

Answer:

D. 10(6y - 9 - 2x)

Step-by-step explanation:

We want to factor 60y - 90 - 20x.

We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.

10 is common among all three:

10(6y - 9 - 2x)

We have factored it.

Answer:

c

d

Step-by-step explanation:

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?




Choose 3 answers:




Choose 3 answers:





(Choice A)




A




y=9xy=9xy, equals, 9, x





(Choice B)




B




2y=18x2y=18x2, y, equals, 18, x





(Choice C)




C





pls answer as fast as u can

Answers

Answer:

3,12,15

Step-by-step explanation:

caculator

The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).




According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?

Answers

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  [tex]\frac{45-52}{7}[/tex]  = -1

   For 59 minutes, z-score is =  [tex]\frac{59-52}{7}[/tex]  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

I need help, please Will mark the Brainliest

Answers

Answer:

A= BEP and BCG

Because they aree the only triangle

C= about 600 to 750

Step-by-step explanation:

writing an equation in Point-Slope Form
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.​

Answers

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]

what is the solution to the equation 13 3/4 + x equals 7 1 / 4​

Answers

Answer:

x=-6.5

Step-by-step explanation:

[tex]7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5[/tex]

f(x) = -3(x-1) find f(o).

Answers

Answer:

f(0) = 3

Step-by-step explanation:

Step 1: Distribute

f(x) = -3x + 3

Step 2: Plug in

f(0) = -3(0) + 3

f(0) = 3

Answer:

f(0) = 3

Step-by-step explanation:

f(x) = -3(x-1)

Put x as 0 and solve.

f(0) = -3(0-1)

Solve the brackets.

f(0) = -3(-1)

Multiply both terms.

f(0) = 3

Someone help please

Answers

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

Find the 87th term of the arithmetic sequence –19, -13, -7,...

Answers

Answer:

87th term is 497

Step-by-step explanation:

first, you have to find the nth term:

figure out the difference between your set of numbers (in our case +6)

that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.

nth term= 6n-25

now replace n with 87.

final step:

87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497

497 is your 87th term.

Answer:

-535

Step-by-step explanation:

[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]

which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points

Answers

Answer:

A

Step-by-step explanation:

Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.

Which graph shows the solution to this system of inequalities?

Answers

Answer:

Your graph is supposed to be like this so your answer is C

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY

Use completing the square to solve for X in the equation (c+7)(x-9)=25

Answers

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89

Work out the surface area of this cylinder
8.2 cm
17.5 cm

Answers

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

Answer:

SA = 1324.1 cm²

Step-by-step explanation:

Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]

Where r = 8.2 cm, h = 17.5 cm

=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]

=> SA = [tex]901.6+2(3.14)(67.24)[/tex]

=> SA = 901.6 + 422.5

=> SA = 1324.1 cm²

Alex, Isaac and Mitch shared a cake. Alex ate 2\5 of the cake, Isaac ate 1/3 of the cake and Mitch ate the rest. What fraction of the cake dis Mitch ate?

Answers

Answer:

4/15

Step-by-step explanation:

Heeeeelllpppp meeeeee!!!!
Look at the picture to answer this question!

Answers

Answer:

A. 72

Step-by-step explanation:

Determinant of a 2x2 matrix: ad - bc

In that case,

24(18) - 30(12)

432 - 360

72

And we have our answer.

(8x - 4)(7y + 2) multiplying binomials

Answers

Step-by-step explanation:

8x(7y+2)-4(7y+2)

=56xy+16x-28y-8

Answer:

56xy+16x-28y-8

Step-by-step explanation:

you have to use the FOIL method to solve this is problem which is

F-First

O-Outer

I-Inner

F-Last

Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.

Answers

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

Average speed = 100 km/h

PLS HELP I AM STUCK!!! 10^2+4-18+2-7*5-1

Answers

Answer:52

Step-by-step explanation:

Use pemdas :D

10^2+4-18+2-7*5-1

100+4-18+2-(7)(5)-1

104-18+2-(7)(5)-1

86+2-(7)(5)-1

88-(7)(5)-1

88-35-1

53-1

52

THE ANSWER TO YOUR PROBLEM!

52

THE ANSWER TO THE ANSWER TO YOUR PROBLEM!

10^2=100

10^2+14=114

10^2+4-18=86

10^2+4-18+2=88

10^2+4-18+2-7=81

10^2+4-18+2-7*5=83

10^2+4-18+2-7*5-1=52!

Hope i helped!-Animefan28

Write 14/√2 + √50 in the form b√2 where b is an integer.

Answers

Answer:

[tex]12 \sqrt{2} [/tex]

Step-by-step explanation:

Taking the terms one at a time,

[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]

[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]

Adding the terms, you have;

[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]

Hope it helps!

I'm out!

Answer:

12

Step-by-step explanation:

14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2

12√2= b√2

b=12

A
1
3
-2
-1
0
B
-1
The midpoint of AB = ([?], [ ])

Answers

Answer: The midpoint is (1,0)

Step-by-step explanation:

Point B  has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of  the x and y coordinates.

x coordinates.  [tex]\frac{-1+3}{2}[/tex] =  [tex]\frac{2}{2}[/tex] = 1  

y coordinates .   [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  

Midpoint: (1,0)

if y= -6 when x= -2 find y when x= 5

Answers

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

work out the volume of a sphere please help i’ll give u brainlest

Answers

Answer:

V = 3591.4 cm³

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 9.5 cm

V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]

V = [tex]\frac{10774}{3}[/tex]

V = 3591.4 cm³

Answer:

[tex]3591.4{cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]

8 1/6 × 12 solve the equation ​

Answers

Answer:

Step-by-step explanation:

8 1/6=49/6

49/6*12=49*2=98

if this is the question 81÷6(81/6) ×12

Answer:

243

EXPLANATION:

To play in the children's area at McDonald's, a child must be shorter than 47 inches tall. A mother with eight children knows that all eight of her children can play at McDonald's after checking to see that her tallest child is shorter than 47 inches .

Answers

I don’t think this question is complete...I can answer if u comment the complete question :)

What is 40% of 260..

Answers

Answer:

104

Step-by-step explanation:

40 x 260 /100  = 104

Answer:

104

Step-by-step explanation:

40% of 260=

40/100 x 260=

10400/100=

104

find the value of x and z
please give correct answers
it's urgent​

Answers

Step-by-step explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

Consider this cylinder with the given base area and height measures. A cylinder with height of 9 inches and Base B = 12 pi inches squared. Use the formula to calculate the volume. What is the volume of the cylinder? Cylinder V = Bh V = four-thirds pi inches cubed V = 21 pi inches cubed V = 54 pi inches cubed V = 108 pi inches cubed

Answers

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

Answer:

108

Step-by-step explanation:

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