Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
A. 5/48 of the assets
B. 1/8 of the assets
C. 7/48 of the assets
D. 3/8 of the assets

Answer: D

Step-by-step explanation:

I solved it:)

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

Answer: answer is E

Step-by-step explanation: because it slope is -6(x) and intercept is (+)9

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Explanation:

Check out figure 1 in the attached images below. In this figure, I've plotted the function y = 6/(2x-3) on a 2D grid system. The function curve is in blue. Then I've plotted (2,0) and (3,0) on the x axis. Point A is somewhere between those endpoints. Point A is also on the x axis. Directly above A is point B such that B is on the blue function curve.

The distance from A to B is found by subtracting the y values of each point.

The y coordinate of A is y = 0. The y coordinate of B is y = 6/(2x-3)

Therefore, the distance from A to B is 6/(2x-3) units. This will form the radius of each cylindrical slice as figure 2 shows. Note the color coding to help see how the 2D view corresponds to the 3D view. The xy plane has been laid flat on the floor. So we're viewing the function curve at a downward angle now. Each of those gray cylinders combine to form an approximate 3D volume. The more cylinders we have, and the finer the cuts, the more accurate the total volume.

So it comes down to finding the volume of each cylindrical slice and adding up the volumes. This is effectively what integral calculus is all about.

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Since the radius of each cylinder is y = 6/(2x-3), this means r = 6/(2x-3) is plugged into the formula

V = pi*r^2*h

which is the volume of a cylinder formula

The height of each cylinder is delta x, which we'll use dx for short. So this is where the dx comes from in integrals.

This is what the integral will look like

[tex]\displaystyle V = \int_{2}^{3} \pi*\left(\frac{6}{2x-3}\right)^2dx[/tex]

which turns into

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx[/tex]

after a bit of algebra. We're able to factor the 36pi out because it's a constant

From here we use u-substitution. Let u = 2x-3

This leads to du/dx = 2 which can be solved to dx = du/2

Since u = 2x-3, the lower endpoint x = 2 leads to

u = 2x-3 = 2*2-3 = 1

and x = 3 leads to

u = 2x-3 = 2*3-3 = 3

So the interval 2 < x < 3 turns into 1 < u < 3

After using u-sub, making the proper replacements, and integrating, we get

[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx\\\\\\\displaystyle V = 36\pi\int_{1}^{3}\frac{1}{u^2}\frac{du}{2}\\\\\\\displaystyle V = 36\pi*\frac{1}{2}\int_{1}^{3}\frac{1}{u^2}du\\\\\\\displaystyle V = 18\pi\int_{1}^{3}u^{-2}du\\\\\\\displaystyle V = 18\pi\left[-u^{-1}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\[/tex]

Let's evaluate that to get the following

[tex]\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[\left(-\frac{1}{3}+C\right)-\left(-\frac{1}{1}+C\right)\right]\\\\\\\displaystyle V = 18\pi\left(-\frac{1}{3}+1\right)\\\\\\\displaystyle V = 18\pi\left(\frac{2}{3}\right)\\\\\\\displaystyle V = 12\pi\\\\\\[/tex]

So the 3D volume formed by rotating that region (under the curve from x = 2 to x = 3) is exactly 12pi cubic units

Answer: 6 1/2

Step-by-step explanation:

six and 1 half of a hour

Answer:-15/28

Step-by-step explanation:

2/1*x5/7x-3/8=-30/56 ÷2=-15/28

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

Answer:

C

Step-by-step explanation:

If you  find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.

Answer:

Step-by-step explanation:

D = { - 4 , 0 , 2 , 7 }

R = { - 8 , - 1 , 3 }

Yes the relation is a function.

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

Answer:

2 ( x^2 + 3 )

Step-by-step explanation:

Answer: no solution

Answer:

9+0.6+0.08

Step-by-step explanation:

The given decimal number in expanded form is 9+0.6+0.08.

The given decimal number is 9.68.

Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).

Now, the expanded form of 9.68 is

9×1 + 6×1/10 + 8×1/100

= 9+0.6+0.08

= 9.68

Therefore, the given decimal number in expanded form is 9+0.6+0.08.

To learn more about the expanded form of a decimal numbers visit:

https://brainly.com/question/145272.

#SPJ2

speed =  [tex]\frac{distance}{time}[/tex]

speed = [tex]\frac{100}{2.5}[/tex]

speed = 40 feet per second

Answer:

20 mobile sets.

Step-by-step explanation:

Every mobile set costs:

40000 / 8

= 5000 Rs.

Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:

100,000 / 5000

= 20 mobile sets.

Hope this helped!

Answer:

[tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

(the '2' and '1' are subscripts, not exponents)

Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.

If we plug this into the equation:

[tex]m=\frac{5-2}{-2-0}[/tex]

Now we just simplify and get

[tex]m=\frac{3}{-2}[/tex]

Our slope is [tex]-\frac{3}{2}[/tex].

I hope this helps!

Answer:

Quads 1 and 2

Step-by-step explanation:

Option A or quadrants 1 and 2 is the correct answer:)

Answer:

x=-4

Step-by-step explanation:

Both points are on same line x=-4

Oksuru   k diyaf         ramincok ani kasilm asiyla olusan bir refle kstir.

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

Answer:

stock index

Step-by-step explanation:

Answer:

stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​    (Please mark me brainliest)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Given table:

     x      -1    1   3   5

     y      -2   0   2  4

Unknown:

Slope of the line  = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

 let us take;

x₁ = -1        x₂ = 3

y₁ = -2        y₂ = 2

Insert the parameters and solve;

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

The slope of the line is 1

m<7=120'

Step-by-step explanation:

m<2 = m<6 because m and l are parallel and m<6 =m<7 because they are vertically opposite angles (v.o.a)

Answer:

m<7=120

Step-by-step explanation:

2 and 7 are alternate exterior angles and because l and m are parallel lines then m<2=m<7

Answer:

Step-by-step explanation:

Volume of the cuboid = Length * Width * Height

Given

Length = 4cm

Width = (x+1)cm

Height = (x-11)cm

Volume of the cuboid = 4(x+1)(x+11)

Volume of the cuboid = 4(x^2+11x+x+11)

Volume of the cuboid = 4(x^2+12x+11)

Volume of the cuboid = 4x*2+48x+44

925 = 4x*2+48x+44

4x*2+48x+44-925 = 0

4x*2+48x-881 = 0

Divide through by 4

x^2 + 12x - 220.25 = 0

Factorize using the general formula;

x = -12±√12²-4(-220.25)/2

x = -12±√144+881/2

x = -12±√1025/2

x = -12±32/2

x = 12+32/2

x = 20/2

x = 10

Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm

Dimension is 4cm by 11cm by 21cm

Answer:

B. 9

Step-by-step explanation:

3^4/3^2

lets expand it

3 * 3 * 3 * 3/ 3 * 3

just get rid the 3's needed to get rid of the denominator which is 2, so get rid of 2 threes from the top

3 * 3 = 9

And it's okay, I dislike math too. Hope you feel better.

Answer:

b

Step-by-step explanation: