What does 25000(1-0.8)^8 equal

Answer:

24 students

Step-by-step explanation:

Set up an equation:

[tex]1/3s=8[/tex]

with s being students

Solve for s

[tex]s=8(3)\\s=24[/tex]

You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.

The linear velocity at the end of the blade is 13571.7 inches per minute

You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.

The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.

Since the blade is 36 inches long, it can be taken as radius of that circle.

The circumference is thus calculated as [tex]2 \times \pi \times 36 = 226.19 \: \rm inches[/tex]

Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute

Thus,

The linear velocity at the end of the blade is 13571.7 inches per minute

Learn more about linear velocity here:

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Answer:

i think its D or 4,320pi

Step-by-step explanation:

just divided the previous persons answer by pi and its d on edge 2022.

Answer:

0

Quick Tip

X - value on the y - axis is always 0.

f(x) is used interchangeably with y

፡ f(x) = y

y = 5.

Answer:

4378

Step-by-step explanation:

Answer:

28.75

Step-by-step explanation:

Answer:

If in fraction form... → [tex]3 \frac{1}{8}[/tex]

If in decimal form... → [tex]3.125[/tex]

Step-by-step explanation:

[tex]\frac{37}{16} + \frac{13}{16} = \frac{37+13}{16}[/tex]

[tex]= \frac{50}{16}[/tex]

= 50 ÷ 2 over 16 ÷ 2

[tex]= \frac{25}{8} = 3\frac{1}{8}[/tex]

Therefore, [tex]3\frac{1}{8}[/tex] is your final answer.

Hope this helped! :^)

Answer:

[tex]\frac{1}{8}[/tex] or [tex]3.125[/tex]

Step-by-step explanation:

[tex]\qquad \qquad \textit{inverse proportional variation}\\\\\textit{\underline{y} varies inversely with \underline{x}}~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill }\\\\\textit{\underline{x} varies inversely with }\underline{z^5}~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill }\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{\underline{y} varies inversely with \underline{x}}}{y=\cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} x=6\\ y=10 \end{cases}\implies 10=\cfrac{k}{6} \\\\\\ 60=k\qquad therefore\qquad \boxed{y=\cfrac{60}{x}} \\\\\\ \textit{when x = 8, what is "y"?}\qquad y=\cfrac{60}{8}\implies y=\cfrac{15}{2}[/tex]

Answer: Amount of sugar 2 cups, amount of flour 3 cups, this means that for every cup of flour you will need 2/3 of cup of sugar

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

270 = 75% of x

270 = 0.75 × x

0.75x = 270

x = 270/0.75

x = 360

Answer: 360

Answer:

360

Step-by-step explanation:

We have, 75% × x = 270

or, 75/100 × x = 270

Multiplying both sides by 100 and dividing both sides by 75,

we have x = 270 × 100/75x = 360

If you are using a calculator, simply enter 270×100÷75, which will give you the answer.

Answer:

29%

Step-by-step explanation:

I guarantee this is the right answer.

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

When you raise a number with an exponent, there comes a result.

Lets say you get

[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1[/tex]

The given expression is

[tex]log_b(b^{x+y})[/tex]

Using the property [tex]log_a(b^c) = c \times log_a(b)\\\\[/tex], we get

[tex]log_b(b^{x+y}) = (x+y)\times log_b(b)[/tex]

Using the property [tex]log_b(b) = 1[/tex], we get

[tex]log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y[/tex]

Thus,

The simplification of the given expression requires the given below properties of logarithm

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Answer: C

Step-by-step explanation

ed

Answer: vertical angles

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

if the average of 6 number is 6, then the sum of those 6 numbers = 6 x 6 = 36

Therefore, the 6th number is:  36 - 25 = 11

Reduced by 20% due to the fact that $40 dollars was removed which is 20% of 200.
How to find: 40/200x100
Hopefully this helps you

Answer:

Step-by-step explanation:

Solution,

The perimeter of a triangle=Sum of all sides

[tex]16.2in+10.04in+12.2in\\=38.44inches[/tex]

Hope it will help you a lot.

Answer: 4xy+6x+2x^2

Step-by-step explanation:

4xy-2x+2x^2+8x

we can combine the terms that only have an x (Ax for any number A)

in this case that's -2x and 8x

-2x+8x=6x

the other things can't be combined

thus you end up with

4xy+6x+2x^2

Answer:

it is angles x and p because of you rotate triangle wzx around you can see that angle x corresponds with angle p

Answer:

fred had 58 marbles

Step-by-step explanation:

peter= x marbles

Fred= x²-6

together= 66 marbles

(x²-6) +x=66

x=8

Fred had 58 marbles

Teniendo en cuenta la definición de sistema de ecuaciones lineales, las edades de los hermanos son 15 y 23 años.

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:

Por un lado, las edades de dos hermanos suman 38 años. Esto se expresa mediante: x+y= 38

Por otro lado, la edad de uno es superior en 8 años a la edad del otro, expresado mediante x=y +8

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{x+y=38} \atop {x=y+8}} \right.[/tex]

Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución, que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.

En este caso, en la segunda ecuación la variable "x" ya se encuentra aislada. Entonces, reemplazando dicha expresión en la primer ecuación se llega a:

y +8 +y= 38

Resolviendo:

2y + 8=38

2y= 38 -8

2y=30

y=30 ÷2

y=15

Finalmente, para obtener el valor de y se reemplaza en la  segunda ecuación, y resolviendo se obtiene:

x= y + 8

x= 15 + 8

x=23

Finalmente, las edades de los hermanos son 15 y 23 años.

Aprende más sobre sistemas de ecuaciones lineales:

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Answer:12c + 30b ≤ 360

Step-by-step explanation:

Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.

First, let's make a math equation to represent the amount of time.

The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c

Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b

This is going to look like a format of:

(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)

This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".

6 hours * 60 minutes in an hour = 360 minutes

So our first equation becomes:

12c + 30b ≤ 360

Answer:

infinite number of solutions

Step-by-step explanation:

we can use the substitution method because the second equation is already solved for 'y'

we can substitute 'x-4' for the 'y' in the first equation to get:

x - (x-4) = 4

x-x+4 = 4

x-x = 0

what 'x-x=0' indicates is that there are an infinite number of values that would be solutions

Check:

if we solve the first equation for 'y' we get:

-y = -x + 4

divide all terms by -1 to get:

y = x - 4 which matches the other equation which means this two equations are equal and will create only one line

Answer:

$1.28

Note for you:

I hope this helps!

Answer and Step-by-step explanation:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

Answer:

(x-y)(x-y)(x-y)(x-y)

Step-by-step explanation:

(x-y)^4 means multiply (x-y) four times

Your intuition is sound, but it has to be based on some prior expectation about the balls in the bag.

For example, if you thought before you drew the blue ball that the bag was equally likely to contain any number of blue balls from zero to 10, after pulling it out you think that the probability of k blue balls remaining in the bag is (k + 1) / 55 for k = 0 to 9. That means the expected number of blue balls is now 6. Before you drew the ball the expected number was 5, so even though there is one fewer blue ball in the bag, you expect there to be one more.

But suppose instead that before you drew the first ball you thought there was a 50/50 chance of zero blue balls and one blue ball. After the draw you know there are no blue balls left, so your expectation went down from 1/2 to zero

The probabilities of selecting each color are approximately:

Red: 30%

Blue: 60%

Yellow: 10%

Given that there are 10 balls in a bag They are red or blue or yellow there are twice as many blue balls as red balls.

We need to determine the probability of taking each color Red Blue Yellow.

Let's first determine the number of each color of balls in the bag based on the given information:

Let's assume the number of red balls is "R," the number of blue balls is "B," and the number of yellow balls is "Y."

"There are twice as many blue balls as red balls": B = 2R

"There are more red balls than yellow balls": R > Y

"There are 10 balls in a bag": R + B + Y = 10

Now, we can try to find the values of R, B, and Y using the above information:

Since B = 2R, we can substitute this into the third equation:

R + 2R + Y = 10

3R + Y = 10

Y = 10 - 3R

Now, we also know that R > Y, so we can set up an inequality:

R > 10 - 3R

Solving the inequality:

4R > 10

R > 10/4

R > 2.5

Since the number of balls should be a whole number, the minimum value for R is 3.

Now, using the value of R, we can find Y:

Y = 10 - 3R

Y = 10 - 3(3)

Y = 10 - 9

Y = 1

Finally, we can find B using B = 2R:

B = 2 × 3

B = 6

So, the number of each color of balls is R = 3 (red), B = 6 (blue), and Y = 1 (yellow).

Now, we can calculate the probabilities of selecting each color:

The probability of selecting red (P(Red)) = Number of red balls / Total number of balls

= 3/10

= 0.3 or 30%

The probability of selecting blue (P(Blue)) = Number of blue balls / Total number of balls

= 6/10

= 0.6 or 60%

The probability of selecting yellow (P(Yellow)) = Number of yellow balls / Total number of balls

= 1/10

= 0.1 or 10%

So, the probabilities of selecting each color are approximately:

Red: 30%

Blue: 60%

Yellow: 10%

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Answer:

base times height

Step-by-step explanation:

Lets say its a cube with a length of 6, a width of 6, and a height of 6. I would find the base first by multiplying the width times length, which you probably know how to do.  The base would be 36, then I would multiply it by the height which is six which would be 216.

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Approach 1 (trickier)

[tex]\frac{2}{3}*\frac{7}{12}*\frac{9}{14}\\ \\ \frac{2*7*9}{3*12*14}\\ \\ \frac{126}{504}\\ \\\frac{1}{4}[/tex]

Approach 2 (easier)

[tex]\frac{2}{3}*\frac{7}{12}*\frac{9}{14}\\\\\frac{2}{14}*\frac{7}{12}*\frac{9}{3}\\ \\ \frac{1}{7}*\frac{7}{12}*3\\ \\ \frac{1}{12}*3\\ \\ \frac{3}{12}\\ \\\frac{1}{4}[/tex]

Step-by-step explanation:

y = 16x²

you put the x values one after the other in place of x and do the calculations.

x = -4

y = 16×(-4)² = 16×16 = 256

x = -3

y = 16×(-3)² = 16×9 = 144

x = -2.5

y = 16×(-2.5)² = 16×6.25 = 100

x = -2

y = 16×(-2)² = 16×4 = 64

x = -1.5

y = 16×(-1.5)² = 16×2.25 = 36

x = -1

y = 16×(-1)² = 16×1 = 16

x = -0.5

y = 16×(-0.5)² = 16×0.25 = 4

x = 0

y = 16×0² = 16×0 = 0

x = 0.5

y = 16×0.5² = 16×0.25 = 4

x = 1

y = 16×1² = 16×1 = 16

and so on.

36, 64, 100, 144, 256

as you can see, the y values are the same for the positive and the negative values.

because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.

and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).

When factoring find 2 numbers that when added together equal the middle value and when multiplied equal the last value.

min this problem the middle value is 7 and the last value is 10

5 + 2 = 7 and 5 x 2 = 10

The answer is: (x+2)(x+5)

Answer:

Step-by-step explanation:

Solution: