Find the 52nd term.
-4, -1, 2, 5, ...
a52=46
a52=47
a52=149
a52=44

Find The 52nd Term.-4, -1, 2, 5, ...a52=46a52=47a52=149a52=44

Answers

Answer 1

Answer:

149

Step-by-step explanation:

- 4, - 1, 2, 5, ...

[tex]a_{1}[/tex] = - 4

d = [tex]a_{2}[/tex] - [tex]a_{1}[/tex] = - 1 - (- 4) = 3

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

[tex]a_{52}[/tex] = - 4 + (52 - 1)(3) = 149


Related Questions

A VCR and TV were bought for 78.000 each. The shopkeeper made
loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss
percent on the whole transaction.​

Answers

Answer:

Profit % is 1.94% .

Step-by-step explanation:

The CP of both VCR and TV were same that is Rs 78,000 . So ,

[tex] => CP \ of \ the \ buyer \ = \ Rs78,000 \times 2 = Rs 156,000 [/tex]

As per Question , on one he made a loss of 4% and profit of 8% on the other .

And , the net SP would be ,

[tex] => Total \ SP \ = \ \dfrac{96}{100}\times Rs 78,000 + \dfrac{108}{100}\times Rs 78,000 \\\\=> Total\ SP = Rs 74,800 + Rs 84240 \\\\\boxed{\red{\bf => Total \ SP= Rs 159,040 }}[/tex]

So , here clearly SP > CP . So , there's a profit .Hence profit % would be :-

[tex] => Profit \% = \dfrac{ SP - CP }{CP}\times 100 \\\\=> Profit \% = \dfrac{Rs 159,040-Rs156,000}{Rs156,000}\times 100 \\\\=> Profit\% = \dfrac{3040}{156000}\times 100 \\\\\underline{\blue{\bf => Profit\% = 1.94 \% }}[/tex]

Using the graph below solve the quadratic equation: x²+x-6- 0

Answers

Answer:

B. x =  -3 or x = 2

Step-by-step explanation:

There are 42 boys in the sixth grade. The number of girls in the sixth grade is 35. Lonnie says that
means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is
16:5.
Is Lonnie correct? Show why or why not.

Answers

Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

Can somebody please help me with this question please?

Answers

Answer:

AB=AD

4x=x+15

3x=15

x=15/3

x=5

Answer:

x = 5

Step-by-step explanation:

In a kite, two disjoint pairs of sides are congruent, then

AB = AD , that is

4x = x + 15 ( subtract x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

n x 3 = 24
HELP Please answer in full steps.

Answers

Answer:

n=8

Step-by-step explanation:

What times 3 is 24?

In other words, 24 divided by 3, which is 8

Answer:
I’m not sure if you want me to write what is the missing variable but I’m going to do that

Explanation:

N would be 8
Since 8x3=24 or you can also do 24/3 which would give you 8

frank decides to run 5 days a week. the first week he runs 5/6 mile each day. the next week, he runs 20% farther than the first week. the third week he runs 20% farther than the previous week. how many total miles did frank run in the 3 weeks?

Answers

Answer:

it is approximately 3.23333333

hope that helped and plz mark brainliest :D

A model for a company’s revenue from selling a software package is R(p)=-2.5p^2+600p

Answers

Complete question is;

A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

Answer:

Price to maximize revenue = $100

Maximum revenue = $25000

Step-by-step explanation:

We are told that:

R = -2.5p² + 500p, where p is the price in dollars of the software.

The maximum revenue will occur at the vertex of the parabola.

Thus, the price at this vertex is;

p = -b/2a

Where a = - 2.5 and b = 500

Thus:

p = -500/(2 × -2.5)

p = -500/-5

p = 100 in dollars

Maximum revenue at this price is;

R(100) = -2.5(100)² + 500(100)

R(100) = -25000 + 50000

R(100) = $25000

Easy math question. Giving branliest.

Answers

Answer:
D. Real, Rational and Unequal

Explanation:
The other guy said so

Answer:

D

Step-by-step explanation:

Write the following using index notation:
a) 2 x 2 x 2
b)
3 x 3 x 3 x 3 x 3
c) 4 x 4 x 4 * 5 * 5
d)
9 x 7 x 9 x 9 x 7 x 9

Answers

Answer:

Here you go

Step-by-step explanation:

sorry for the bad handwriting

The required equivalent expressions using index notation, are follows: a) 2 x 2 x 2 = 2³, b) 3 x 3 x 3 x 3 x 3 = 3⁵, c) 4 x 4 x 4 x 5 x 5 = 4³ x 5² and d) 9 x 7 x 9 x 9 x 7 x 9 = 7² x 9⁴.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expressions are given in the question, as follows:

a) 2 x 2 x 2

b) 3 x 3 x 3 x 3 x 3

c) 4 x 4 x 4 x 5 x 5

d) 9 x 7 x 9 x 9 x 7 x 9

We have to determine the equivalent expression using index notation.

As per the question, the required solution would be as:

a) 2 x 2 x 2 = 2³

b) 3 x 3 x 3 x 3 x 3 = 3⁵

c) 4 x 4 x 4 x 5 x 5 = 4³ x 5²

d) 9 x 7 x 9 x 9 x 7 x 9 = 7² x 9⁴

Learn more about the expression here :

brainly.com/question/21751419

#SPJ2

Find the cube root of 512

Answers

Answer:

8

Step-by-step explanation:

[tex] \sqrt[3]{512} = (512) {}^{ \frac{1}{3} } = 8[/tex]

Steve started with $250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Use x for time and y for savings. How much money would be in their savings when it was the same amount?

Answers

Answer:

the question is when are the two accounts equal... so our strategy is to find two equations and set them equal to each other

Step-by-step explanation:

weeks = w

steve's acct. = 250-25w

Chelsea's acct. = 30 +30w

so when do they equal

250-25w = 30+30w

now  solve for w

250-30 = 30w +25w

220 = 55w

4 = w

In four weeks.. they will have the same

so 250- 25(4) = 150  

and to check  30+30(4) = 150

so the each have $150.00 in their accts at 4 weeks

Find the 89th term of the arithmetic sequence -16, -3, 10, ...

Answers

Answer:

uhm, i'm pretty sure it would be 1,128 because between each term is 13 units, and the first three terms are given. and 89-3 is 86. and 86*13=1,118. since the last term was 10, you need to add 10 to that, making your answer 1,128

100 middle school students take a survey that asked him about their food preferences 37 out of 100 students said they prefer pineapples to peaches how would you write this amount as a percent

Answers

Answer:

It would be 37%

1 student equals 1%.

Hope this helps! Have an awesome day <3

Divisibility Am I Missing Something ? Or Am I Right Need Help ASAP

Answers

Answer:

the ones I will write doles not go with 180

so remove them ok

they are 3 and 9

if wrong correct me plsssssss

Mark me brainliest plsss

I will always help you understanding your assingments

have a great day

#Captainpower:)

180/2 is 90, so 2 is divisible

180/3 is 60, so 3 is divisible

180/4 is 45, so 4 is divisible

180/5 is 36, so 5 is divisible

180/9 is 20, so 9 is divisible

180/10 is 18, so 10 is divisible

All numbers are divisible by 180, so you are correct

PLEASE HELP! (or i die tomorrow)

Answers

Answer:

16. (0 , -6) 17. (0 , 4) 18. (3, -9)

Step-by-step explanation:

Answer:

A = (0,-6)

B = (0,4)

C = (3,-9)

Step-by-step explanation:

Take the middle number of the x-coordinates.

A- The number in between 0 and 0 is 0

B- The number in between 2 and -2 is 0

C- The number in between -3 and 9 is 3

Take the middle number of the y-coordinates.

A- The number in between 0 and -12 is -6

B- The number in between 9 and -1 is 4

C- The number in between -3 and -15 is -9

You can also use the midpoint formula; M=(x(1) + x(2))/2 , (y(1) + y(2))/2

1. Find the common factors of the given terms.

Answers

Step-by-step explanation:

[tex](ii)\\24y=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot\boxed{y}\\16xy=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{y}\\\\GCF(24x;\ 16xy)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=8y[/tex]

[tex](iii)\\14p^2=2\cdot\boxed{7}\cdot\boxed{p}\cdot p\\\\7pq=\boxed{7}\cdot\boxed{p}\cdot q\\\\28p=\boxed{7}\cdot2\cdot2\cdot\boxed{p}\\\\GCF(14p^2;\ 7pq;\ 28p)=\boxed{7}\cdot\boxed{p}=7p[/tex]

[tex](v)\\6a^3b^2c=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot a\cdot a\cdot\boxed{b}\cdot b\cdot\boxed{c}\\\\24ab^3c^4=\boxed{2}\cdot2\cdot2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot b\cdot b\cdot\boxed{c}\cdot c\cdot c\cdot c\\\\12abc=\boxed{2}\cdot 2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}\\\\GCF(6a^3b^2c;24ab^3c^4;\ 12abc)=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}=6abc[/tex]

[tex](vi)\\16x^3=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\\\\-40x^2=-\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{x}\cdot\boxed{x}\\\\32x^4=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\\\\GCF(16x^3;\ -40x^2;\ 32x^4)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{x}\cdot\boxed{x}=8x^2[/tex]

Need some help from the bois

Answers

Answer:

a

Step-by-step explanation:

big brain

find the value of variable y using appropriate identity (y-5)2-(y-3)2=12

Answers

Answer:

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow (y-5)2-(y-3)2=12 [/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-10-2y-6=12[/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-2y-10-6=12 [/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow -16=12 [/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow y's\:value\:is\:undefined [/tex]

Answer:

[tex] {(y - 5)}^{2} - {(y - 3)}^{2} = 12 \\ = ( {y}^{2} - 10y + 25) - ( {y}^{2} - 6y + 9) = 12 \\ = {y}^{2} - 10y+ 25 - {y}^{2} + 6y - 9 = 12 \\ = - 4y + 16 = 12 \\ = - 4y = 12 - 16 \\ = - 4y = - 4 \\ = y = \frac{ - 4}{ - 4} \\ = \boxed{y = 1}[/tex]

y=1 is the right answer.

HELP please :)
a laptop costs $899 how much will it be with a sale of 24% off

Answers

Answer:

683.24

Step-by-step explanation:

Im pretty sure PLEASE give BRAINLIEST I NEED IT

All you have to do is 899 times .24 and then get that answer and subtract

Answer:

its $683.24

as we first took out 24%of $899 i.e215.76 then we subtracted it from $899

thank you that answer is correct.

Answers

You're welcome? :3

I'm sorry if I don't understand what you are asking.

Have an amazing day, my friend!

What is cos theta when sin theta = sqrt 2/3

Answers

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]

And , we know the identity of sine and cosine as ,

[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]

Using , this identity we have ;

[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]

Salvador reads 13 books from the library each month for y months in a row. Write an expression to
show how many books Salvador read in all. Then, find the number of books Salvador read if he read
for 5 months.

Answers

Answer:

a lot

Step-by-step explanation:

13*5=x
x would equal 65
So 13*5=65
Salvador read 65 books in five months.

Which of the following situations are equal to 6? Select all that apply.

A) 30% of 10
B) 60% of 15
C) 50% of 12
D) 20% of 30
E) 75% of 8

Answers

B, C, and E are your correct answers because 12*0.50=6, 30*0.20=6, 8*0.75=6

Answer:

C)  

D)

E)

Step-by-step explanation:

30% of 10 = [tex]\frac{30}{100}*10 = 3 \neq 6\\\\[/tex]

B) 60% of 15 = [tex]\frac{60}{100}*15 = \frac{6}{10}*15=\frac{3}{5}*15=3*3 = 9 \neq 6\\[/tex]

c) 50% of 12 = [tex]\frac{50}{100}*12=\frac{1}{2}*12=6\\\\[/tex]

D) 20% of 30 = [tex]\frac{20}{100}*30=\frac{1}{5}*30= 6[/tex]

E)75% of 8 = [tex]\frac{75}{100}*8 = \frac{3}{4}*8=3*2 = 6[/tex]

The equation of line v is y = -x + 9. Line w, which is perpendicular to line v, includes the
point (2, 3). What is the equation of line w?

Answers

Answer:

y=x+1

Step-by-step explanation:

In order to find the slope that is perpendicular to a given line, you have to take the fraction form (-1/1), flip it (1/-1), and give it an opposite sign (1/1).  Now since we now know our slope we can draw y=x to find what do we have to add.  Since y=x crosses (2,2), we know we have to add 1 to the equation in order to bring it to (2, 3).

45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?

Answers

Answer:

9 girls

Step-by-step explanation:

total girls tried out = 45

did not make the team

= 20% of the girls

= 20/100 × 45

= 9 girls

Your answer would be 9 girls.

.20 x 45 = 9

brainliest?

what is log7 12+log7m-log7n?

Answers

Hello!

[tex]\large\boxed{\log_{7}{(\frac{12m}{n}})}[/tex]

Use the log properties to simplify:

log (a) + log (b) = log (a · b)

log (a) - log (b) = log (a ÷ b)

Therefore:

[tex]log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})[/tex]

(x-4)/(2x+1)-3 can you help me with this question

Answers

Answer:

[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex]

Required

Solve

Express 3 as a fraction

[tex]\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}[/tex]

Take LCM

[tex]\frac{x - 4 - 3(2x + 1)}{3x + 1}[/tex]

[tex]\frac{x - 4 - 6x - 3}{3x + 1}[/tex]

Collect Like Terms

[tex]\frac{x - 6x- 4 - 3}{3x + 1}[/tex]

Simplify like terms

[tex]\frac{-7x- 7}{3x + 1}[/tex]

Hence:

[tex]\frac{(x - 4)}{(2x + 1)} - 3[/tex] [tex]=[/tex] [tex]\frac{-7x- 7}{3x + 1}[/tex]

Last month, Grayson and Justine sold candy to raise money for their debate team. Justine sold 1 1/5 times as much candy as Grayson did. If Grayson sold 2/3 of a box of candy, how many boxes of candy did Justine sell?

Answers

Answer: 4/5 of a box of candy

Step-by-step explanation:

Justine sold 1¹/₅ times the ²/₃ of a box of candy that Grayson sold.

Justin sold;

= 1¹/₅ * ²/₃

= 6/5 * 2/3

= 12/15

= 4/5 of a box of candy



On Saturday, a local hamburger shop sold a combined total of 596 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on saturday?

Answers

Answer:

198 hamburgers

Step-by-step explanation:

Because the additive inverse of multiplication is division and since the cheeseburger are three times the number of hamburgers you should divide by three to get how many hamburgers were sold. Hope this helps

Someone please help me, what is 13x + 5 - 8x - 3?

Answers

Answer:

5x  

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

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