The net change in the volume of the water in the tank in liters would be 100 liters.
How to find the change in volume?We can calculate the released in released with the released between the water released from the water released .
Quantity of water pumped in per minute = 45 liters
Quantity of water released per minute = 25 liters
Number of minutes = 5 minutes
Total water pumped in = 45 liters × 5 minutes
= 225 liters
Total water released = 25 liters × 5 minutes
= 125 liters
Net change in the volume of the water in the tank in liters
= Total water pumped in - Total water released
= 225 liters - 125 liters
= 100 liters
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An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?
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)
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the value of the test statistic to test this claim
The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex]Sample size = n Population mean (hypothesized)= [tex]\mu[/tex]Sample standard deviation = sThen, 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:
n = sample size = 81sample mean = [tex]\overline{x}[/tex] = 3.25sample standard deviation = s = 0.3hypothesized population mean with which comparison is done = [tex]\mu= 3.5[/tex]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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pls help me wirh this
Calla bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many pens did she buy?
what is the number of pie in math
Answer:
A pie in maths have a degree of 360 degrees
what is the standard form of this graph
the standard form of that graph is ax squared +bx+c
Complete the table below to show that the relationship holds for all the triangles above.
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE
The garden club earned $15dollar sign, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
Answer:
Step-by-step explanation:
the answer should be 15t times 2.
Answer:
anser is 60$
Step-by-step explanation:
15*2 = 30 (total without donor)
donor is multiplying what the earned my 2 so 30*2+60
-0.056 + 0.27 = ?
Please show ALL of your work and how you got your answer! (-:
✨50 POINTS!!✨
[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]
A satellite flies 136640 miles in 17. 08 hours. How many miles has it flown In 9. 87 hours
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
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction
a =
b =
c =
d =
e =
f =
g
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.
What is rational expressions?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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find the sum or difference [-3 0 5 -7 + -4 2 -1 8] 30 points please help me.
Answer:
-372
Step-by-step explanation:
-305 -7 + (-42) -18
-312 + (-42) -18
-312 - 42 - 18
-354 - 18
-372
The width of a box is one third of its length. The
height of the box is one third of its width. If the
length of the box is 27 cm, what is the volume of
the box?
a. 81 cm3
b. 162 cm3
c. 243 cm3
d. 729 cm3
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
The length of a rectangle is 10 cm and the width is 15 cm. What is the
area of the rectangle in square meters?
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!
carnival a charges an entres fee of 7.50 and 0,75per tiket for the rides carnival b charges an entrence fee of 12.00
Answer:
So what? Please tell the full question
Consider the graph of the function f(x)=log2 x. What are the features of the function g if g(x)=f(x+4)+8?
PLEASE HELP!! I’m really bad with word problems.
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
THE SUM OF THREE CONSECUTIVE EVEN INTEGERS IS 72 FIND THE THIRD INTEGERS.
Answer: The three consecutive even numbers are 22, 24, 26
22+24+26 = 72
========================================================
Explanation:
x = first even numberx+2 = second even number directly right after x(x+2)+2 = x+4 = third even number directly after x+2For 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,
x = 22 = first even numberx+2 = 22+2 = 24 = second even numberx+4 = 22+4 = 26 = third even numberAs a check: 22+24+26 = 72 which verifies the answers.
Use the graphing calculator to graph the parent function. f(x) = log(x) add the translated function. f(x) = log(x - h) k plug in different values of h and k to answer the following questions. what happens when h is positive? what happens when h is negative? what happens when k is positive? what happens when k is negative?
The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions
How to interpret the graph?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:
When h is positive, the graph moves closer to the positive x-axisWhen h is negative, the graph moves closer to the negative x-axisWhen k is positive, the graph moves closer to the positive y-axisWhen k is negative, the graph moves closer to the negative y-axisRead more about logarithmic functions at:
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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:
1. Find the sum of the series
15
∑ (2n-1)
n-1.
Show your work.
[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
n²15²225Factor the following expression. x^3 + 2x^2 - 16x - 32
IMMAGE ATTACHED
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
A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is
16:9
What is the length of the diagonal of the screen, to the nearest whole inch?
Enter your answer in the box.
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
Solve 7k+17=30
give your answer as a fraction in its simplest form
The equation of k is 13/7.
What is Equation?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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Clover O Donnell
Problem iu: PRAEUS
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image.
13 in
10 in
1 in
5 in
What is the volume of this piece?
Do not include units (in?) in your answer.
copied for free from openupresources.org
below as a number example: 5.3.1.4 1/2, or 3/2)
Which polynomial identities are correct?
Select ALL that apply.
1. a2−b2=(a−b)(a+b)
2. (a+b)3=a3+3ab+b3
3. (a−b)3=a3−b3
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
solve the equation :
[tex] |6x^{2} + x - 2| + |2 + 3x - 9x^{2} | = |4x - 3x ^{2} | [/tex]
Answer:
x = ∞Step-by-step explanation:
Solving
| 6x² + x - 2 | + | 2 + 3x - 9x² | = | 4x - 3x² |6x² + x - 2 + 2 + 3x - 9x² = 4x - 3x²-3x² + 4x = 4x - 3x²x = ∞Any value is possible as long as it is positive and a real number16 ounces is equivalent to 1 pound. A lion cub born at the zoo weighs 2 1/2 pounds. How many ounces does the lion cub weigh? Show your work.
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.
PLEASE HELP ME 60 QUESTIONS ARE DUE TODAY!!!!!!!!!!!!!!!!!!!! PLS HELP WILL GIVE BRAINlIEST!!!!!
Answer:
x=3/2
Decimal Form:
x=1.5
Mixed Number Form:
x=1-1/2
Step-by-step explanation:
A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
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! :)
This is the hardest one yet! Please help!!
Answer:
Write your question.
Step-by-step explanation:
We're waiting...
Answer:
whats the question?
Step-by-step explanation: