Find the 96th term of the arithmetic sequence
-3, -14, -25, ...

Answers

Answer 1

Answer:

The 96th term of the given AP is (-1048)

Step-by-step explanation:

We have, the given AP is :

-3, -14, -25....

First term is -3

Common difference is -14 - (-3)= -11

Let [tex]a_{96}[/tex] is the 96th term of the AP.

The nth term of the AP is given by :

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

Put all the values, such that,

[tex]a_{96}=(-3)+(96-1)\times (-11)\\\\a_{96}=-1048[/tex]

So, the 96th term of the given AP is (-1048).


Related Questions

February 2, the temperature at 11 AM was 5°F. At
10 PM, it had dropped to 3°F. To find the number of
degrees the temperature dropped, which equation
could you use? Let x be the number of degrees the
temperature changed.

Answers

Answer: x = 2 degrees Fahrenheit

Step-by-step explanation:

5-3= 2 it’s a pretty simple equation

Michelle bought 2 soccer balls priced at $24.95 each. She paid for her purchase with three $20 bills. How much change did she receive?

Answers

Answer:

$35.05

Step-by-step explanation:

3 $20 bills turns into $60 and 60-24.95=35.05

Write an equation in slope-intercept form for the line with slope 4 and y-intercept - 2

Answers

Answer:

The slope intercept form is typically in the form of

y=mx+c

c=-2

m=4

The slope intercept form of the equation is

y=4x-2

Write 34.996 to:
i. 2 decimal places​

Answers

Answer:

34.996 to 2 dcp is 35.00

Step-by-step explanation:

6 rounds up 9 goes to 10 add the 1 left over to make the units number equal 5 but as it is decimal place remember to add the 0's

Answer:

35.00

Step-by-step explanation:

just don't leave the zeros.

Brainliest question please help please help me now plz

Answers

Answer:

13/b I think

Step-by-step explanation:

3 ft
4 ft
What is the length of the hypotenuse

Answers

The length of the hypotenuse is 5ft
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
c^2=25
sqrt c^2= sqrt 25
c=5
Therefore, the length of the hypotenuse is 5th
:)

50+50+5050 + 50 + 50 + 50 + 50 + 50 + 50 + 50 + 30 ​

Answers

Answer:

5530

Step-by-step explanation:

Answer:

5530

Step-by-step explanation:

50 times 9 equals 450

then add the 5050 and 30 to get 5080

then add up 5080 and450 and get your answer of 5530

HELP ME ASAP PLS ! Marianne’s box for camp measures 24 inches by 24 inches by 14 inches. Will her field hockey stick , which is 1 yard long , fit in the box ? Explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

24²+24²=x², x = 33.94

33.94²+14²=x², x = 36.71 inches

1 yard is about 36 inches, so it should just fit.

5 + x = -2
I need work and answer!!!!

Answers

We need to get x by itself.

We do that by subtracting 5 from both sides.

This leaves us with x = -7.

So x = -7 is the solution.

Answer:

The final answer is [tex]x = -7[/tex] .

Step-by-step explanation:

Solve the equation:

[tex]5 + x = -2[/tex]

Subtract both sides by 5:

[tex]5 - 5 + x = -2 -5[/tex]

[tex]x = -7[/tex]

So, therefore, [tex]x = -7[/tex] is the final answer.

Answer each question about the following
arithmetic sequence:
-20,-16, -12,-8,-4, ...
What is the 30th term of the sequence?
a30
=

Answers

Answer:

1) a30=96

2) 30(-20+96)/2

3) 1140

Step-by-step explanation:

I just did on Edg 2020

The solution is, the 30th term of the sequence a_30 = 96.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

the given sequence is,

-20,-16, -12,-8,-4, ...

so, here, we have,

a = -20

d = 4

so, the 30th term of the sequence is,

a_30 = a + (30-1) d

         = -20 + 29*4

         = 96

Hence, The solution is, the 30th term of the sequence a_30 = 96.

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what is 7=2m-1 plz helps

Answers

Answer:

m=4

Step-by-step explanation:

7=2m-1

+1 +1

8=2m

÷2 ÷2

m=4

solve for a side in right triangles

Answers

Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77

Super Strength Inc. has found that the relationship between their sales and their net profit can be described by a polynomial function G(x) in which x is their sales (in thousands of dollars) and G(x) is their net profit (in thousands of dollars). What would be an appropriate domain for this function?

Answers

Answer:

x ≥ 0

Step-by-step explanation:

The domain of the profit function G(x) is the set of all possible values that "x" could assume. In this function, "x"represents the sales in thousand of dollars, therefore the minimum possible value is zero (scenario in which there are no sales). Assuming an hypothetical scenario in which the company has an infinite supply capacity, there is no upper limit for what their sales might be. Thus, the domain for the function is x ≥ 0.

Answer:

x > or equal to 0

Step-by-step explanation:

Can someone please help me

Answers

Answer:

I think its G, I'm not 100% sure...

I also am pretty sure it’s G

Which answer represents a geometric sequence?
A. {1,3,9,27,…}
B. {17,10,3,−4,…}
C. {0,2,4,8,…}
D. {5,10,15,20,…}

Answers

Answer:

A.

Step-by-step explanation:

in A. your q is 3 so: a1=1 a2= a1*q=3 a3=a2*q=9 and so on.

i C. its almost the right answer too,but notice that a1 is 0. so 0*2 is still 0 so though it looks almost perfect the first number ruins it

Find the quartiles for these data values:

5,7,7,8,10,11,12,15,17

Answers

Answer:

The median {Q2} is 10

Q1 is 7+7/2 which is 7

Q3 is 15+12/2 which is 13.5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its coreect

Mark is comparing prices of different brands before he goes shopping. Who has the best deal on ice cream​? ​ ​Brand Size & Price​ ​Turkey Hill ​ $4.50 for 30 ounces ​Breyers ​ $15.36 for 128 ounces ​Ben & Jerrys ​ $2.88 for 16 ounces

Answers

Answer:

Breyers is the correct answer

Step-by-step explanation:

$4.50/30 oz = .15

$15.36/128 oz = .12

$2.88/16 oz = .18

Bartolo is running a race. He determines that if he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds. If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds. Which equation represents this inverse variation?

Answers

Answer:

The Equation that represents these inverse variation is:

Speed is inversely proportional to Time

Speed (S) ∝ 1/ Time(T)

And the constant of proportionality = Distance(D)

Therefore, Speed = Distance/ Time

Step-by-step explanation:

For an inverse variation, one element increases while the other element decreases. In this question, the element or variable that increases is the speed while the element or variable that decreases is the time.

We can see from the question that

a) If he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds.

b) If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds

Speed is inversely proportional to Time because the higher the speed, the lesser the time it takes to go or move in a particular direction or to go in a particular distance.

Hence, the Equation that represents these inverse variation is:

Speed is inversely proportional to Time

Speed (S) ∝ 1/ Time(T)

For inverse variation or proportionality, a constant is always needed

And the constant of variation or proportionality = Distance(D)

Therefore, Speed = Distance/ Time

A restaurant advertises that its burritos weigh 250 g 250 g250, start text, space, g, end text. A consumer advocacy group doubts this claim, and they obtain a random sample of these burritos to test if the mean weight is significantly lower than 250 g 250 g250, start text, space, g, end text.

Answers

Answer: C) H0 : μ = 250 , Ha: μ < 250

Step-by-step explanation:

The questions is incomplete. The correct question is

A restaurant advertises that its burritos weigh 250 g. A consumer advocacy group doubts this claim, and they obtain a random sample of these burritos to test if the mean weight is significantly lower than 250 g. Let u be the mean weight of the burritos at this restaurant and ĉ be the mean weight of the burritos in the sample. Which of the following is an appropriate set of hypotheses for their significance test? Choose 1 answer:

A) H0 : x = 250 , Ha : x < 250

B) H0 : x = 250 , Ha : x > 250

C) H0 : μ = 250 , Ha: μ < 250

C) H0 : μ = 250 , Ha: μ > 250

Solution:

The null hypothesis is the hypothesis that is assumed to be true. The restaurant advertises that its burritos weigh 250. This is the null hypothesis. 250 is the population mean,μ . Thus, the null hypothesis is

H0 : μ = 250

The alternative hypothesis is what the researcher expects or predicts. The consumer advocacy group tests if the mean weight is significantly lower than 250g. This is the alternative hypothesis. It is expressed as

H0 : μ < 250

Answer:

Yes, because 0.002 < 0.01

Step-by-step explanation:

Brainliest for the correct answers!

Answers

Answer:

didn't i answer this on your last post?

GIVING BRAINLIST TO THE CORRECT ANSWER PLS ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a = -1/2 & k = 3/7

Step-by-step explanation:

Solve for a over the real numbers:

24 a^3 + 8 a^2 + 6 a + 4 = 0

The left hand side factors into a product with three terms:

2 (2 a + 1) (6 a^2 - a + 2) = 0

Divide both sides by 2:

(2 a + 1) (6 a^2 - a + 2) = 0

Split into two equations:

2 a + 1 = 0 or 6 a^2 - a + 2 = 0

Subtract 1 from both sides:

2 a = -1 or 6 a^2 - a + 2 = 0

Divide both sides by 2:

a = -1/2 or 6 a^2 - a + 2 = 0

Divide both sides by 6:

a = -1/2 or a^2 - a/6 + 1/3 = 0

Subtract 1/3 from both sides:

a = -1/2 or a^2 - a/6 = -1/3

Add 1/144 to both sides:

a = -1/2 or a^2 - a/6 + 1/144 = -47/144

Write the left hand side as a square:

a = -1/2 or (a - 1/12)^2 = -47/144

(a - 1/12)^2 = -47/144 has no solution since for all a on the real line, (a - 1/12)^2 >=0 and -47/144<0:

Answer: a = -1/2

______________________________________

Solve for k over the real numbers:

(7 k - 3) (k^2 - 2 k + 7) = 0

Split into two equations:

7 k - 3 = 0 or k^2 - 2 k + 7 = 0

Add 3 to both sides:

7 k = 3 or k^2 - 2 k + 7 = 0

Divide both sides by 7:

k = 3/7 or k^2 - 2 k + 7 = 0

Subtract 7 from both sides:

k = 3/7 or k^2 - 2 k = -7

Add 1 to both sides:

k = 3/7 or k^2 - 2 k + 1 = -6

Write the left hand side as a square:

k = 3/7 or (k - 1)^2 = -6

(k - 1)^2 = -6 has no solution since for all k on the real line, (k - 1)^2 >=0 and -6<0:

Answer: k = 3/7

If 80% of an item is $144.00, what is the original price?

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

the original price * 80% = 144

Change to decimal form

the original price * .80 = 144

Divide each side by .80

the original price * .80/.80 = 144/.80

the original price =180

A calculator screen displays 3.294E6. Write this number in standard form.

Answers

Answer:

3.294

Step-by-step explanation:

The standard form of the given number is [tex]3294000[/tex].

Important information:

The calculator screen displays 3.294E6.Standard form:

in a calculator, the numbers on the right side of E are the exponent of 10. So, the scientific notation of the given number is:

[tex]3.294E6=3.294\times 10^6[/tex]

It can be written as:

[tex]3.294E6=3.294\times 1000000[/tex]

[tex]3.294E6=3294000[/tex]

Therefore, the standard form of the given number is [tex]3294000[/tex].

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Estimate the sum of 381 and 22 by rounding both values to the nearest ten. What is the best estimate of the sum?
400
410
420
430

Answers

The best estimate for my answer is 410 to the nearest ten

Answer:

410

Step-by-step explanation:

solve for a side in right triangles

Answers

Answer:

2.88?

Step-by-step explanation:

The graph shown can be used to convert between kilometres and miles....

Answers

Answer:

where's the picture I can't see it

According to the graph, I can see

42 Miles = 68 Kilometers

32 Miles = 22 Kilometers

The distance between London and Cardiff is 240 Kilometers

Is mile in the metric system?

Mile is under the Imperial System and

Kilometers is under the metric system.

What is metric system?

The metric units used for measuring length, mass, area and capacity. For example, millimeters, centimeters, meters, and kilometers are the metric units of the measurement of length. Grams and kilograms are the units for measuring weight.

Learn more about Measuring System here

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Brainliest for the Correct answers !

Answers

Step-by-step explanation

On the first graph, I made the graph too short but when x = 8, y= 10,

also this is only for the two graphs on the bottom because the first ones were examples

Two step equations. Please help

Answers

Y=7

Step-by-step explanation:

Move all terms not containing y to the right side of the equation.

4y=22+6

Then add 22 and 6.

4y=28

Divide each term in 4y=28 by 4

4y÷4=28÷4

Cancel the common factor of 4 in the first part of the equation so it looks like this...

y=28÷4

Divide 28 by 4.

Therefore y=7

Hope this helps! If you have any more questions or you need further clarification on anything then please comment down below! Good luck!

Write the quadratic equation in general form. (x-5)2

Answers

Answer:

x^2 - 10x + 25

Step-by-step explanation:

I'm hoping that the 2 means squared.

x^2 - 10x + 25

Answer:

x^2 -10x+25

Step-by-step explanation:

(x-5)^2

(x-5)(x-5)

FOIL

first = x*x = x^2

outer:-5x

inner: -5x

last: -5*-5 = 25

Add them together

x^2 -5x-5x+25

Combine like terms

x^2 -10x+25

Standard form is ax^2 +bx +c so this is standard form

There are 7 red 3 green 2 blue and 8 purple marbles in a bag if a marble is randomly chosen 250 times predict how many times it should be red or green

Answers

Answer:

It should be red or green 125 times

Step-by-step explanation:

The first thing to do here is to calculate the probability of selecting a red or a green marble

Total number of marbles = 7 + 3 + 2 + 8 = 20

Probability of selecting a red marble is 7/20

Probability of selecting a green marble is 3/20

The probability of selecting a red or a green marble = Probability of selecting a red marble + Probability of selecting a green marble = 7/20 + 3/20 = 10/20 = 1/2

Now our selection spans 250 times, the number of times it should have been a green or a red marble = The probability of selecting a green or a red marble * number of selection times = 1/2 * 250 = 125 times

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