Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.

What was the total change in the water level?

Enter your answer as a decimal in the box.

Answer:

9.8 cm

Step-by-step explanation:

Volume of a cylinder can be gotten with this formula

V=πr2h

h = height of the oil.

We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now

h° =( h) - (0.1)

Then the new volume can be calculated as

V°= V - (3×10^-3)

But

volume= (π r2h°)

Then substitute we have

πr2h - 0.003 = π r2 (h-0.1)

If we open the bracket we have

0.003 = (πr2 ×0.1)

πr2=0.003/0.1

Then r=√ (0.03/0.1π)

=9.8 cm

Note that 1L = 10-3 m3

Answer:

D

Step-by-step explanation:

simple : when we have a point defined as (1, 4), it means x = 1, y = 4.

and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.

but there will be usually many other pairs that do that too.

Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

Answer:

b is the correct answer

Step-by-step explanation:

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

Answer:

Therefore, the price increased by 20%

Step-by-step explanation:

Initial price = 1.25

Final price = 1.50

so price increased = 1.50 - 1.25

= 0.25

so,

price increased% = (0.25/1.25) × 100%

= 0.2 × 100%

= 20%

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )

5x+4-2x là biểu thức đại số

Answer:

Kindly check explanation

Step-by-step explanation:

Given the T test output :

T-Test

μ<4.00

t=-3.033077

p=0.002025

x=3.48

Sx=1.150075

n=45

Given that population mean, μ = 6

Confidence level, α = 0.05

The hypothesis :

H0 : μ = 6.00

H1 : μ < 6.00

From the t test output given :

The test statistic :

T = -3.033077

T = - 3.03 (2 decimal places)

The Pvalue :

P = 0.002025

Pvalue = 0.002 (3 decimal places)

The conclusion :

Decision region ; Reject H0 : if Pvalue < α

Since ; Pvalue < α

Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.

Answer:

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Answer:

Tanya is reflect y axis and then 90 degrees.  

Kurt is reflect over y=x

Have an amazing day! Hope This Helps :)

Let the original price = x

From X to get the new price you multiply by 1 + the percent of the increase which is 25%

1,25X = 2.00

Divide both sides by 1.25:

X = 1.60

The original price was B. 1.60

Answer:

x=1.60

Step-by-step explanation:

Let x be the original price

We increase by 25%

x+ .25x = new price

1.25x = 200

Divide each side by 1.25

x = 2.00/1.25

x=1.60

Answer:

-5x³ + 3x³ + 2x + 6

Step-by-step explanation:

if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :

what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?

the answer is

6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =

= -5x³ + 3x³ + 2x + 6

Answer:

The inequality is -3<x<3

Step-by-step explanation:

(-3,3)

Answer:

60

Step-by-step explanation:

A significant figure means the most important (biggest) number.

As it just wants 1 significant figure, you count 1 to the right and round the 6 up.

Hope this helps :)

Answer:

i think this is right i’m sorry if not :)

Answer:

4

Step-by-step explanation:

:)

the center is (-7,5) and the radius is 2

Answer:

D

Step-by-step explanation:

For example,

5×7-10>20

5(-3)-10<15

Answer:

a= [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

a^2+9^2=10^2

a^2+81=100

a^2=19

a=[tex]\sqrt{19}[/tex]

Answer:

b = 4.4 meters

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

Answer:

12

Step-by-step explanation:

F(x)=x^2−2x+4

Let x = |-4| = 4

F(|-4|)=4^2−2(4)+4

     = 16 -8+4

    = 8+4

     = 12

Answer:

(g∘f)(x) = -20x + 22

Step-by-step explanation:

(g∘f)(x) simply means g(f(x))

We are given;

f(x) = -5x + 4

g(x) = 4x + 6

Thus;

(g∘f)(x) = 4(-5x + 4) + 6

(g∘f)(x) = -20x + 16 + 6

(g∘f)(x) = -20x + 22

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

when I had to share a bar of chocolate with 3 of my cousins....... the bar had a size of 18 cm and there were 3 of us so we divided it by 3 (18÷3) and ended up with 6, so 6cm/cousin..... ..

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x + 14 = 14 x + 7

-7x = -7

x = 1 (one solution)

~~~~~~~~~~~~~~~~~

5 x + 8 = 8 + 5 x

0 =0 (infinite solutions)

~~~~~~~~~~~~~~~~

9x = 9 x + 5 17

0 = 517 (no solution)

Answer:

AOB

Step-by-step explanation:

An obtuse angle is larger than 90 and less than 180

COB = 90

AOB is larger than COB and less than 180

Answer:

4 1/3 of her hair

Step-by-step explanation:

Just add 2 1/6 + 2 1/6 and there you go

There is the total amount of her hair she cut