A cylindrical tank is having water pumped in at a
rate of 45 liters/minute and is releasing water at
the bottom at a rate of 25 liters/minute. After five
minutes, what is the net change in the volume of
the water in the tank in liters?

The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions

The functions are given as:

f(x) = log(x)

f(x) = log(x - h) + k

From the graph of both functions, we have the following highlights:

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Answer:

horizontal shift to the right,

horizontal shift to the left,

vertical shift up,

vertical shift down.

Step-by-step explanation:

Answer:

40 ounces.

Step-by-step explanation:

Simply multiple 2 1/2 pounds with 16 in order to find how many ounces the lion cub weighs.

2.5 * 16 = 40

Therefor, the lion cub weighs 40 ounces.

Answer:

-372

Step-by-step explanation:

-305 -7 + (-42) -18

-312 + (-42) -18

-312 - 42 - 18

-354 - 18

-372

Answer:

22.95 in  =   ~~ 23 inches

Step-by-step explanation:

16 + 9 = 25

9/16 =  x/20      shows x = 11.25   in      is height

diagonal  ( via pyhtag theorem)

=   sqrt ( 20^2 + 11.25^2 ) = 22.95 inches  

Answer:

x=3/2

Decimal Form:

x=1.5

Mixed Number Form:

x=1-1/2

Step-by-step explanation:

Answer:

a2−b2=(a−b)(a+b) is correct.

Step-by-step explanation:

(a+b)3=a3+3a²b+3ab²+b3

(a−b)3=a3-3a²b+3ab²−b3

Answer: The three consecutive even numbers are 22, 24, 26

22+24+26 = 72

========================================================

Explanation:

For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.

However 12+14+18 = 44 is not 72 like we want.

You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.

(first) + (second) + (third) = 72

(x) + (x+2) + (x+4) = 72

3x+6 = 72

3x = 72-6

3x = 66

x = 66/3

x = 22

So we have,

As a check: 22+24+26 = 72 which verifies the answers.

Answer:

Step-by-step explanation:

Solving

Answer:

Write your question.

Step-by-step explanation:

We're waiting...

Answer:

whats the question?

Step-by-step explanation:

Answer:

d) 729cm^3

Step-by-step explanation:

Length =27cm

Width = 1/3 of length

= 1/3 of 27cm = 1/3 × 27cm = 9cm

Height = 1/3 of width

= 1/3 of 9cm = 1/3 × 9cm = 3cm

So, length = 27cm; width = 9cm; height = 3cm

So, volume = length × width × height

= 27cm × 9cm × 3cm = 729cm^3

Answer:

78 960 miles

Step-by-step explanation:

136640 m / 17.08 hr = 8000 m/hr

8000 m/hr  * 9.87 hr  = 78 960 miles

The equation of k is 13/7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

7k+17=30

Now, solving for k

Subtract both side 17

7k + 17 - 17 = 30 - 17

7k = 13

k= 13/7

Hence, the equation of k is 13/7.

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the standard form of that graph is ax squared +bx+c

Answer:

0.015 m²

Step-by-step explanation:

Since we need the area in square meters, we need to first convert our centimeter values into meters.

[tex]\frac{1m}{100cm} =10cm[/tex]

1 · 10 = 10
10/100 = 0.1 m

[tex]\frac{1m}{100cm} =15cm[/tex]

1 · 15 = 15
15/100 = 0.15 m

The area of a rectangle is a = l · w. Plugging in the given values, we get:

a = 0.1 × 0.15

a = 0.015 m²

hope this helps!

Answer:

A pie in maths have a degree of 360 degrees

Answer:

So what? Please tell the full question

Answer:

Step-by-step explanation:

the answer should be 15t times 2.

Answer:

anser is 60$

Step-by-step explanation:

15*2 = 30 (total without donor)

donor is multiplying what the earned my 2 so 30*2+60

[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]

[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]

Sum of first 15 odd nos

Answer:

19). V = 381.51 cubic inches

20) The cylindrical box has a greater volume so Lin would prefer getting it.

Step-by-step explanation:

Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:

V = 4/3πr^3

This is the equation for finding the volume of sphere.

Hint: diameter = radius/2

V = 4/3π(4.5)^3

V = 4/3π(91.125)

V = 4.19(91.125)

V = 381.51 cubic inches

______________________________________________________

Equation of a rectangular prism: V = L * W * H

Equation of cylinder: V = πr^2h

Rectangle box:

V = 12 * 9 * 10

V = 120 * 9

V = 1080

Cylinder box:

V = π5^2(14)

V = π(25)(14)

V = 350 * 3.14

V = 1099

1080 < 1099

Answer:

[tex]\frac{3}{13}[/tex]

Step-by-step explanation:

First you need to find how many marbles there are in total, so 3+8+2= 13

The probability of the marble being red is [tex]\frac{3}{13}[/tex] then

Hope this helps! :)

The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not given, then we can estimate it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.

We're provided that:

Thus, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]

Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

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Answer: I got you

The values are:

a = 6

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1

Step-by-step explanation: Hope this helps

The values for the highlighted variables that show how to subtract the rational expressions are; a = 6, x^2 + 6x is equal to x(x+6), and b=2.

From the information, the denominator and numerator of the first term are multiplied by x.

The difference of squares is factored as (a² -b²) = (a +b)(a -b), so the denominator of the first term can be factored.

The common factor x can be factored out of the denominator of the second term which gives ...

[tex]\dfrac{2}{x^2-36}-\dfrac{1}{x^2+6x}= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+6)}\quad a=6[/tex]

Now Multiplying the first term by x/x and the second term by (x-6)/(x-6) gives ...

[tex]\dfrac{2x}{(x+6)(x-6)x}-\dfrac{x-6}{(x+6)(x-6)x}\quad b=2,\ c=6[/tex]

Writing the sum over the common denominator, we have;

[tex]\dfrac{2x-x+6}{(x+6)(x-6)x}\quad d=2,\ e=6[/tex]

Collecting terms in the numerator gives ...

[tex]\dfrac{x+6}{(x+6)(x-6)x}\quad f=6[/tex]

Finally, canceling the common factor we get;

1/(x-6)x

The values of the letters are;  a=6, b=2, c=6, d=2, e=6, f=6, g=1

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textbf{GUIDE to remember: }[/tex]

[tex]\bullet\large\textsf{\ 2 negatives = \bf positive}\\\bullet\large\textsf{2 positives = \bf positive}\\\bullet\large\textsf{1 negative \& 1 positive = \bf negative}\\\bullet\large\textsf{1 positive \& 1 negative = \bf negative}\\\\\large\boxed{Since, your\ equation\ contains\ 1 \ negative\ \& \ 1\ positive, your \ result}\\\large\boxed{will \ most \ likely \ be \ a \ \huge\boxed{{negative}}}\large\checkmark[/tex]

[tex]\large\boxed{\rm{EQUATION: -0.056 + 0.27}}[/tex]
[tex]\large\text{SOLVING FOR THE EQUATION PROVIDED ABOVE}\uparrow \\\\\large\text{Start at \boxed{\rm{-0.056}} and \underline{go \bold{up}} \boxed{\rm{0.27}} \underline{\underline{spaces to the right}} side of}\\\large\text{the number line.}[/tex]

[tex]\large\text{You should have landed/stopped on \boxed{\rm{0.214}}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be \boxed{\mathsf{0.214}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr  *  2.5 hr = 1550 miles

(Note that   2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)

Answer:

The answer is A.

Step-by-step explanation:

I used an online Calculator to calculate it for you.

(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32