Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3=5 and f(8)=2+3+5+7=17. What is the value of f(86)−f(82)?
(A) 3 (B) 4 (C) 47 (D) 59 (E) 83

The answer is not B pls remember this

Answers

Answer 1

Answer:

E

Step-by-step explanation:

RSM proves correct

Answer 2

The value of a given function is required.

So, the answer is (E)83.

The given function [tex]f(x)[/tex] is the sum of all prime numbers less than [tex]x[/tex].

The required function is [tex]f(86)-f(82)[/tex]

[tex]f(86)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83[/tex]

[tex]f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79[/tex]

[tex]f(86)-f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83-(2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79)=83[/tex]

All numbers become get subtracted except for 83.

So, the answer is (E)83.

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Related Questions

HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.

Answers

The cost of the entrance would be 7.5$, because 2.50$ x 6 equals 15.

Let’s multiply 6 x 2 to get twelve, and if six rides are 15$, that would be 30$ for twelve rides. But we still have three more.

2.50 x 3 would be 7.5$, and if we add that to 30$, we would get 37.5$.

With entry fee though, we would add 37.5$ to
7.5$, and so it would be 45$ on the dot.

Your answer would be 37.5$ without entry fee, and 45$ with entry fee.

If this helped.. please do me a favor and mark this as the Brainliest! :))

Given: -4 - (-7), use this expression and the idea of a balloon model to describe what happens to the hot air balloon.



a. Where does the balloon start?



b. Do you add or subtract something from the balloon?



c. What do you add or subtract from the balloon?



d. Where does the balloon end up?

Answers

Answer:

Step-by-step explanation:

-4 - (-7) = -4+7=3

For a. the balloon starts at -4

for B. your adding something to the balloon

For c. your adding 7 to -4

for D. the balloon ends up and 3

Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $

Answers

6.86 hope this helps !! :))

What Quadrant is 4,-8 located in

Answers

Answer:

4

Step-by-step explanation:

The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type A) brought for inspection are normally distributed with PSI of µ = 30 and σ = 4, and such spares tires with PSI below 25 are considered under-inflated.
The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type B) brought for inspection are normally distributed with PSI of µ = 27.7 and σ = 5.4, and such spare tires with PSI below 25 are considered under-inflated.
The PSI found in the spare tire of vehicle Type A and vehicle Type B does not depend upon the other type of vehicle, and every vehicle has 1 spare tire in it.
a. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that BOTH vehicles have an under-inflated spare tire?
b. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that there is a total of EXACTLY one under-inflated spare tire among these two vehicles?

Answers

Answer:

f

Step-by-step explanation:

a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days

Answers

34560 ounces

Step by Step Explanation:

12 x 64 = 768
768 x 45 = 34560 ounces

Sam needs 7/8 cup mashed bananas and 5/6 cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries. How can he write 7/8 and 5/6 as a pair of fractions with the smallest common denominator?

Answers

Answer:

I don't no the answer i hope you

Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest? ​

Answers

Answer:

The rate of interest is 9%.

Step-by-step explanation:

Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :

[tex]i = \frac{prt}{100} [/tex]

[tex]let \: i = 360,p = 4000,t = 1[/tex]

[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]

[tex]36000 = 4000r[/tex]

[tex] \frac{36000}{4000} = r[/tex]

[tex]r = 9[/tex]

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25

Julie opens a bank account with $500. She deposits $60 each month. Write a function that represents th
amount
that is in Julie's account after x months.

Answers

Answer:

Let Y represent the $60 deposited each month and F represent the total amount after X months. 500+Y•X= F

Step-by-step explanation:

The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?

Answers

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

In the diagram, DC bisects

Answers

We are given that ∠BDA is bisected

this means that ∠BDC = ∠ADC

Finding x :

Since ∠BDC = ∠ADC:

7x - 19 = 9x - 37

2x = 18

x = 9

Finding ∠ADC:

We are given that ∠ADC = 9x - 37

now that we know that x = 9, replacing x:

∠ADC = 9(9)-  37

∠ADC = 44°

Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2

Answers

Answer:27^n+3–6*3^3n+3–n*9^n+2

Step-by-step explanation:

Find the sum of all integers between −102 and 104.

Answers

The integers from -102 to 102 would all cancel, leaving you with

(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104

= 103 + 104

= 207

factor 5x^2 + 10x + 5

Answers

answer: 5(x-1)^2 because you factor out the 5 to look like 5(x^2+2x+1) then just factor the expression to the answer.

Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.

Answers

Answer: D. A polygon is concave if no diagonal contains points outside the polygon.

Explanation:

Choice A is true since "equiangular" means "equal angles"

Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon

Choice C is true. The term "lateral" means "side".

Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.

What is -7 as a fraction

Answers

Answer:-7/1

Step-by-step explanation:

Answer:

-7/1

Step-by-step explanation:

Find the ​slope-intercept form of the equation of the line that passes through the point P and makes angle with the positive ​x-axis

Answers

Answer:

The answer is "[tex]y= -x+7[/tex]"

Step-by-step explanation:

If [tex]\bold{\theta = 135^{\circ}}[/tex]

point: [tex]p=(2,5)[/tex]

Formula:

[tex]\to m= \tan \theta \\\\\to (y-y_1)= m(x-x_1)[/tex]

[tex]\to m= \tan \ 135^{\circ} = -1\\\\\to x_1= 2\\\\\to y_1=5[/tex]

Put the value in the above formula:

[tex]\to y- 5 = -1(x-2)\\\\\to y- 5 = -x+2\\\\\to x+y = 5+2\\\\\to x+y=7[/tex]

[tex]\to y= -x+7[/tex]

What is the percent of change from 60 to 63?

Answers

It is 5%

63-60=3

60 divided by 3 = 5

5%

Shaniqua brings home $250 per week working 25 hours. She is able to save $30 of her earnings each week.
Shaniqua wants to have $750 saved at the end of 15 weeks. She is allowed to work up to 30 hours per week if she
wants. She can save all the money earned working extra hours. How many hours (as a whole number) each week
must Shaniqua work to save $750 at the end of 15 weeks? Show your work.

Answers

Answer: She'd have to work 27 hours a Week because by her working 2 more hours shed be able to save up 50 a week.

Explanation: 750 divided by 15 (the weeks) is 50. Shed need to save 50 a week instead of 30 to reach her goal and  the amount 50 divided by the number of hours she works (25) is 2. Add the 2 to 25 and you get 27 weeks.

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. . How many blue marbles are in the bag

Answers

If goal to get white marble then 16 if goal to get blue marbles then its 84

BRAINLIEST APPERICATED :D
There are 84 blue marbles in the bag

Which number is additive inverse of -4 1/4

Answers

Answer:

4 1/4

Step-by-step explanation:

the additive inverse is a number that when you add it with the number you already had, makes 0

-2 is the additive inverse of 2

so 4 1/4 is the inverse of -4 1/4

How many solution does the following equation have -5 + 7x = 7x + 5

Answers

Answer:

No solution

Step-by-step explanation:

Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:

7x does not equal 7x + 10

Rewrite each equation 5x – 4y = 6

Answers

Step-by-step explanation:

5x-4y=6.....eqn.1

or,5x=6+4y

or,x=6+4y/5....eqn.2

from eqn.1..5(6+4y/5)-4y=6

or,6+4y=6

:y=0 ans..

frm eqn.2

:x=6+0\5

:x=6/5 ans..

A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The
graph of the total cost, C. in dollars as a function of the weight, z. In pounds of the crushed stone is shown. What is the meaning the y-intercept?
Item 2
Hem
C(2)
Item 4
items
480
440
400
360
320
280-
Cost (dollars)
240
200
100
EF
o
Type here to search
LOT
*

Answers

Answer:

The cost of the delivery is $120

Step-by-step explanation:

Can someone help me answer

Answers

Answer: she should by 9 bottles of juice

Step-by-step explanation:

because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9

She needs to buy 9 juice bottle

The midpoint of AB is at (3, 2) . If A = (4, 8) , find b

B is:( , )

Answers

Answer:

B (2,-4)

Step-by-step explanation:

help me please i dont know what this is i cant think

Answers

Answer:

ahhhhh swear that's scary honestly


Identify the following data set:
The rates at which all of the cashiers scan products for a store on a study about the
cashiers for the day

Answers

Answer: Population

Step-by-step explanation:

Answer:

Population

Step-by-step explanation:

I just took the quiz

Identify the angles that each have a measure of 88°. ​

Answers

Answer:

vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv

Step-by-step explanation:

1, 3, and 8

8 is it’s corresponding angle. 1 is vertical to it and 3 corresponds with 1
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