The depth of a lake in Centerville changes over time due to rainfall and evaporation. A few months ago, the depth was 75 feet. Currently, the lake is 24% less deep. What is this year's depth?

It's A, 1/5^9.

Ya take the two exponents, and subtract them. Now ya have 5^-9/5.

Since we can't have a negative exponent, we put it on the bottom.

So we get the answer 1/5^9. Hope this helps!

Answer:

1/5^9

Step-by-step explanation:

5^-6 goes down and become 5^6

then 5^3 is times 5^6, when multiplying two same bases their power has to be added not multiplied. so 6 plus 3 is 9. the nine is the power.

the final answer is 1/5^9 or the first choice

Answer:

1075 ft^2

Step-by-step explanation:

The figure shows two rectangles. In order to get the two areas, we should be able to find the area of each and add them together.

The formula of the area of the rectangle = L * W

First rectangle [tex]= 25 * 8[/tex] = 200

Second rectangle =  25 * 35 = 875

Adding them together would yield 1075 sq ft.

Hope this helps

Answer:

y-intercept(s): 0,4

Step-by-step explanation:

find the x-intercept, substitute in

0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

Answer:

Step-by-step explanation:

2x^2-10x+7         A=1, B=-10. C=7

-(-10)±√-10^2-4(1)(7)

------------------------------

2(1)

10±√100-28

----------------

2

10±√72

-----------

2

10±8.485281374

            2

10+8.485281374 =9.24

10-8.485281374 =0.76

               2

Weight of wood block is 15.543 ounces.

Given that;

Height of block = 4 inches

Diameter of block = 3 inches

1 cubic inch of wood = 0.55 ounces

Find:

Weight of wood block

Computation:

Radius of block = 3 / 2

Radius of block = 1.5 inches

Volume of toy = πr²h

Volume of toy = (3.14)(1.5)²(4)

Volume of toy = (3.14)(2.25)(4)

Volume of toy = 28.26 cubic inch

Weight of wood block = Volume of toy × 0.55 ounces

Weight of wood block = 28.26 × 0.55 ounces

Weight of wood block = 15.543 ounces

Find out more information about 'Weight of wood'.

https://brainly.com/question/4980247?referrer=searchResults

Answer:

True

Step-by-step explanation:

As long as the relationships are the same they are proportional.

Answer:you still on it ?

Step-by-step explanation:

Answer:

D No. as there are only 12 bolts longer than 1inch.

Mr. Slivka needs 16 bolts of greater than 1 measure, and there are only 12.

Step-by-step explanation:

We cannot include 1 inch data as this is not over 1 inch like the 1inch 2/8 and 1inch 4/8 etc. the greater measures of over 1 inch count to 12.

We know they are greater as they do not have a negative sign next to the added fraction of 1 2/8 or 1 4/8.

Answer:

D

Step-by-step explanation:

I HAVE NONE

Answer:

True

Step-by-step explanation:

It's true by the transitive property of equality which is

If A=B and B=C then A=C

Answer:

  y = 1/2x^2 +6

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet is useful for this purpose. It shows you the equation is ...

  y = 1/2x^2 +6

_____

Alternate solution

Another way to approach this is to look at first and second differences of the y-values.

Sequence of y-values:

  6, 6.5, 8, 10.5, 14

Sequence of first differences:

  0.5, 1.5, 2.5, 3.5

Sequence of second differences:

  1, 1, 1, 1

The leading coefficient of the quadratic is half the value of the second differences: a = 1/2. The constant in the quadratic is the y-intercept, the value when x=0. The first point gives that as 6.

__

Now, you can check some other point to see what the linear term coefficient might be:

  y = 1/2x^2 +bx +6

For x=2, this is ...

  8 = 1/2(2^2) +b(2) +6 = 8 +2b . . . . . substitute (x, y) = (2, 8), simplify

  0 = 2b   ⇒   b = 0

Then the quadratic is ...

  y = 1/2x^2 +6

_____

Additional comment

You may not know the relation between second differences and the leading coefficient. The most general way to solve this is to write three equations in the unknown coefficients. Since y has integer values for x=0, 2, 4, you may want to use these. For (x, y) = (0, 6), (2, 8), and (4, 14), you have ...

  y = ax² +bx +c

After finding c=6 in the first equation, you have two equations in 2 unknowns:

The solution to these is a=1/2, b=0, as above.

Answer:

Grids b and c have 25% shaded

Step-by-step explanation:

a) shaded = 5/16 = 31.25%

b) shaded = 4/16 = 25%

c) shaded = 5/20 = 25%

d) shaded = 3/10 = 30%

Answer:

grid b and c

Step-by-step explanation:

Answer:

i say 2

Step-by-step explanation:

i may be wrong

sorry:(

Answer:

Its 2  I think

Answer:

72.5 meters

29 seconds

Step-by-step explanation:

Answer:

e = a

f = c

Angles a, b and c add up to 180°

Angles a, f and b also add up to 180°

Hello there!

Mean is the average of a set of numbers.

To find the mean, we have to add all the numbers and divide by how many there are.

Add: 68 + 55 + 72  

Equals: 195

However, we have to find the mean of the 3 rounds in the 4th fight.

Add: 55 + 42 + 40

Equals: 137

Then, we divide it by 3.

Equals: 45.7

Next, add it to 195 since it was of 3 separate fights.

195 + 45.7 = 242.5

Lastly, divide it by 6 since there were 6 numbers in the data set.

Divide: 242.5/6

Equals: 40.42

Therefore, our mean for the 4 fights is 40.42 or 40.

There's another answer that we can get by simply adding up all the numbers and dividing it by 6.

Add: 68 + 55 + 72 + 55 + 42 + 40

Equals: 332

Then, we divide by 6.

Divide: 332/6

Equals: 55.33

So, yeah 55.33 would be the better mean then 40 since 40 makes it seem very low.

Answer:

Mean x¯¯¯ 55.333333333333

Median x˜ 55

Mode 55

Range 32

Minimum 40

Maximum 72

Count n 6

Sum 332

Step-by-step explanation:

All you have to do is add all the number together and divide.

Also i put more info encase you need it

hope this helps!:)

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - 4

2

The line y = [tex]\frac{2}{3}[/tex] x - 4

has slope m = [tex]\frac{2}{3}[/tex] → B

Answer:

11.slope intercept form:

y=2/3x-4

2. slope;

2/3

Step-by-step explanation:

1. make y the subject

2. =mx+c

m is the slope therefore 2/3 is the slope

Answer:

35

Step-by-step explanation:

Answer:

the answer is the fourth row

Answer:

hi! the answer is row four.

Step-by-step explanation:

it contains 14, 7, 2, -7, and -14

14 and -14 are opposite integers

&

7 and -7 are opposite integers

so, the row that has opposite integers would be row four.

Answer:

-6 is the answer.

Step-by-step explanation:

SO to do this:

given y=x-6

plug in 0 for x and solve for y

y = 0-6

y= -6

Answer:

the answer is 6 if I had time to explain how I got this but I have to walk my dog after put my phone down then watch tv sorry for the extra stuff.

Step-by-step explanation:

Answer:

b) x=13

Step-by-step explanation:

first divide 10 by 2 to get the base of one side of the triangle

the answer will be 5

Then using the Pythagorean theorem

a2+b2=c2

12^2+5^2=169

the square root of 169 will be 13

Answer:

Step-by-step explanation: idk

Answer:

yes 54.5 is passing a grade

Step-by-step explanation:

Answer:

Step-by-step explanation:

no 54.5% is not passing...  and the lowest you can have and still pass is 59%... well if you consider a D passing

Answer:

c

Step-by-step explanation:

227° is in the third quadrant. To find the reference angle subtract 180° from it.

reference angle = 227° - 180° = 47° → c

Answer:

see explanation

Step-by-step explanation:

Differentiate [tex]\frac{4-x}{x}[/tex] using the quotient rule, given

y = [tex]\frac{f(x)}{g(x)}[/tex] , then

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{g(x)f'(x)-f(x)g'(x)}{g(x)^2}[/tex]

Here f(x) = 4 - x ⇒ f'(x) = - 1

g(x) = x ⇒ g'(x) = 1 , thus

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-x-(4-x)}{x^2}[/tex] = [tex]\frac{-x-4+x}{x^2}[/tex] = - [tex]\frac{4}{x^2}[/tex]

-----------------------------------------

Given

y = 3x² + [tex]\frac{4-x}{x}[/tex], then

[tex]\frac{dy}{dx}[/tex] = 6x - [tex]\frac{4}{x^2}[/tex] ← evaluate for x = 2

[tex]\frac{dy}{dx}[/tex] = 6(2) - [tex]\frac{4}{4}[/tex] = 12 - 1 = 11 ← as required

Let me know if you require assistance on (b) and (c)

Answer:

y=4x

Step-by-step explanation:

In a proportional relationship, two values always have the same ratio to each other. This means that when we look at the equation of a line, y=mx+b, where m=slope and b=how much more plus the slope y is, there cannot be a "b" value.

An example of this is:

If the slope is 3,

y=3x

If x=2, y=6

If x=5, y=15

We can see that for every pair of coordinates, the ratio (5) between x and y remain the same.

y cannot have anything added to i (ex: y=3x+1), otherwise the ratio would change.

Ex:

If the equation is y=3x+1,

If x=1, y=4

If x=2, y=7

We can see that the ratios between the two numbers (1/4, 2/7) are not the same.

In this problem, the only equation without "b" is y=4x. Therefore, the answer is y=4x.

Answer: Answer is B

Step-by-step explanation: I hope it help

;)

Answer:

It is y= -3x + 2

Step-by-step explanation:

If you plug the x value into the equation, it make sense.

y= -3 (2) + 2 is equal to -6 + 2 which is -4

and so on..

Answer:

As we know:

A nickle is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

Here is what Robert had:

Number of nickles (a)

Number of dimes (b)

Number of quarters (c)

Here is assumption:

5a + 10b + 25c = 850

a = 3b

c = b + 10

=> 5(3b) + 10b + 25(b + 10) = 850

=> 50b + 250 = 850

=> 50b = 600

=> b = 600/50 = 12

=> a = 3b = 3 x 12 = 36

=> c = b + 10 = 12 + 10 = 22

=> Number of nickles: 36

=> Number of dimes: 12

=> Number of quarters: 22

Hope this helps!

:)

Answer:

.

Step-by-step explanation: