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Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is

f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2

The Answer is

$287732

I wish you all the best of luck

Answer:

i love free points dont you

Answer:

(100 - 40) ÷ 10 = amount of hours

= 6 Hours

Step-by-step explanation:

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

Given:

Point A is located at [tex]-\dfrac{6}{8}[/tex].

Point B is located at [tex]-\dfrac{1}{8}[/tex].

To find:

The distance between points A and B.

Solution:

We know that,

Distance between points A and B = Location of A - Location of B

Using this given values, we get

Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]

                                                        [tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]

                                                        [tex]=\dfrac{-6+1}{8}[/tex]

                                                        [tex]=-\dfrac{5}{8}[/tex]

Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].

[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]

The distance between A and B is [tex]\dfrac{5}{8}[/tex].

Therefore, the correct option is D.

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Answer:

It is changing at -11 ft

Step-by-step explanation:

The distance d is given by

d = √x²+(90-y)²

We have to differentiate

dy/st = 25ft

dx/dt = -15ft

The question says after 2 seconds

Y = 25x2 = 50ft

X = -15x2 = -30ft

Then we calculate rate of change of distance. From the calculations I did, I arrived at

(1/2√900+1600).[900-2000]

= -1100/2x50

= -1100/100

= -11ft

Please check attachment to help you understand the answer better as it is more detailed.

The distance between these two runners changing 2 s after the ball is hit 11 ft

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A baseball diamond is a square with sides 90 ft long.

A batter is at bat, with runners at first and second base.

At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.

Simultaneously, the runner on second base runs to third base at 15 ft/s.

The distance d is given by

[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]

We have to differentiate

[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]

The question says after 2 seconds

[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]

Then we calculate the rate of change of distance will be

[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]

More about the differentiation link is given below.

https://brainly.com/question/24062595

Answer:

$1.50

Step-by-step explanation:

The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.

The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the  cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00

The difference in purchases =  cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory

The difference in purchases = $16.50 - $15.00 = $1.50

This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.

Given:

The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = [tex]\pi r^2[/tex]

Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]

where, r is radius and l is slant height.

According to the question,

[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]

Multiply both sides by.

[tex]4\pi r^2=\pi rl+\pi r^2[/tex]

[tex]4\pi r^2-\pi r^2=\pi rl[/tex]

[tex]3\pi r^2=\pi rl[/tex]

Cancel out the common factors from both sides.

[tex]3r=l[/tex]

Now, ratio of the radius  to the slant height is

[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]

[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]

Therefore, the ratio of the radius  to the slant height is 1:3.

Answer:

addition

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10-2=8

8/2=4

Hope this helps!

Answer:

C. (-3x+6)(x+2)

Step-by-step explanation:

that should help you

Answer:

c

Step-by-step explanation:

Anwers:

22    is the answer

Answer:

1.732

Step-by-step explanation:

.......................

Answer:

More than

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

Answer 25:

Step-by-step explanation:

Answer:

Lol I'll help you. So for the 1st problem, you need to subtract 7x from 4x but if your looking for and answer then x=2. For the 2nd problem subtract 3x-5x and 7 + 9 which brings you to -2x - 16 which means you would have to find x in this problem which means x has to be a negative. The negative answer is x= -32 since a negative x a negative is a positive. Which brings you to 16-16 and then 0. For the third one, you need to change the problem. Turn it into 5x - x = 4 + 8 which brings you to 4x = 12 making x =3. and for number 4 you need do the same as we just did and do 11x - 6x - 3x and then do 20 - 6 which brings you to 2x = 14 which makes  x=7.

Step-by-step explanation:

Answer:

my calculator says 1159/35

Step-by-step explanation:

Answer:

a) 0.1108

(b) 0.0173

Step-by-step explanation:

We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.

Firstly, the binomial probability is given by;

where, n = number of trails(samples) taken = 25

r = number of successes

p = probability of success and success in our question is % of

retired people i.e. 20%.

Let X = Number of people retired

(a) Probability that exactly seven are retired people = P(X = 7)

P(X = 7) =

= = 0.1108

(b) Probability that 10 or more are retired people = P(X >= 10)

P(X >= 10) = 1 - P(X <= 9)

Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9

So, P(X >= 10) = 1 - 0.98266 = 0.0173.

Answer: $13.50

Step-by-step explanation:

Answer:

$13.5

Step-by-step explanation:

Everything you do is multiply 75 by 0.18 ( 0.18 represents 18%)

which gives you 13.5, so the tip would be $13.50

Answer:

The square root of 16=4, 4x2=8, x2=8.

Step-by-step explanation: