Answers
[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]
[tex] {a}^{c} \times {b}^{c} = {ab}^{c} [/tex]
Related Questions
The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gallon of gas is approximately 231 cubic inches. The density of the gasoline is .0262 pounds per cubic inch. The driver has stopped at a local farm to fill a tank that has linear dimensions that are 2/3 the size of his tank. If the driver's tank was full and the farmer's tank was empty, what is the mass of the gasoline in each of the tanks after the smaller tank is full?
Answers
9514 1404 393
Answer:
driver's tank: 30,427 lbfarmer's tank: 12,811 lbStep-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr^2·h . . . radius r, height h
The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...
V = π(4 ft)^2·(19 ft) = 304π ft^3
Each cubic foot of gasoline has a mass of ...
(1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3
Then the total mass in the driver's full tank is ...
(304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb
__
The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.
The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.
The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.
Convert 0.45 to a percent. Remember to add the percent sign.
0.45%
4.5%
45%
50%
Answers
Answer:
45%
Step-by-step explanation:
There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?
Answers
Answer:
3:2
Step-by-step explanation:
can also be written as 3/2 as a fraction!
Answer:
Blue paint to red paint - 3:2
Red paint to blue paint 2:3
Step-by-step explanation:
For every 3 cups of blue paint there is 2 cups of red paint
For every 2 cups of red paint there is 3 cups of blue paint
Fraction Mode: 3/2 or 2/3
A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
Tank Temperature
Which linear function does the graph represent?
Answers
PLS HELP ASAP
Simplify 8 − (14). (1 point)
Question 5 options:
1)
−22
2)
−6
3)
6
4)
22
Answers
8 is positive and 14 negative. You can either draw a number line and help yourself with that or since the negative one is bigger you can do the subtraction 14 - 8 and then change the sign of the answer.
Subtract. Write the answer in lowest terms.
6 1/6 - 2 5/6
Answers
Answer:
61/6_25/6=61_25/6=36/6 we divide =6The answer is 6Step-by-step explanation:
Please mark my answer as a brainliest. Please follow me. ❤❤❤Answer:
3 1/6
Step-by-step explanation:
look on the attachment i sent
Please help me this is 7th grade math all you have to do is find the slope for the graph if it is right i will give you brianliest
Answers
Answer:
-10/2 or -5 for the slope
Step-by-step explanation:
rise over run: it's going down 10 and over 2 or
for every 5 down it goes 1 over
4x-(12 divided 3) +2x=20
Answers
Answer:
4
Step-by-step explanation:
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
O 3(x+4)
0 24x+6) + x
O 4(x - 3) - x
O 3(x+1)+9x
Answers
Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
Type here to search
O
BI
2020 McGraw Education. All Rights Reserved. Terms of Use | Pracy i Accent
11:10 PM
12/11/2020
DEL
Answers
Answer: Manuel is flying two kites. He has
102
feet of string out to one kite and
111
feet out to the other kite. The angle between the strings is
36°
as shown in the figure below. Find the distance between the kites
In the phrase rise over run
what does rise indicate
Answers
Answer:
how far a line goes up
Step-by-step explanation:
rise/run gives the slope of the line
4. Mrs. Dion decided to go out to dinner. She
spent $15.40 on her meal. She tipped the waiter
$4.25. How much did she pay all together?
Answers
Answer:
$19.65
Step-by-step explanation:
Adding decimals is the same as simple addition just line up the point in the numbers and add.
Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS
Answers
Answer:
3
Step-by-step explanation:
You have to equate them so...
5v+2=8v-7
I hope this helps you!
Help please I’ll give brainliest!
Answers
1 and 1/4 - 1/3=
please give the right answer
Answers
Answer:
11/12
Step-by-step explanation:
15/12-4/12= 11/12
Answer:
11/12
Step-by-step explanation:
5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4
15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well
11/12 subtract
Plz help me with this???
Answers
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
An election for favorite lunch snack is between Apples, Beets, and Carrots. Students voted for their top three from best to least. The results are: ABC : 41 BAC : 26 CAB : 42 How many votes will A have in total after B is eliminated due to the Hare method
Answers
Answer: after eliminating B due to Hare Method, A will have a total of 67 VOTES
Step-by-step explanation:
Given that;
The results are
ABC : 41
BAC : 26
CAB : 42
NOW
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
C>A>B = 42 ⇒ C has 42 votes
According to Hare method, least votes gainers will be eliminated and once eliminated, his/her/its votes will be transferred to the next choice of person/thing.
based on the question; B will be eliminated
so we have;
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
we eliminate B, the votes are transferred to the next (A)
A>C = 26 ⇒ A has 26 votes
C>A>B = 42 ⇒ C has 42 votes
SO in total
A votes = 41 + 26 = 67 VOTES
Therefore after eliminating B due to Hare Method, A will have a total of 67 VOTES
After eliminating B due to Hare Method, A will have a total of 67 votes
We have given that,the results are
ABC : 41
BAC : 26
CAB : 42
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
C>A>B = 42 ⇒ C has 42 votes
What is the Hare method?
The Hare method is least votes gainers will be eliminated and once eliminated,The votes will be transferred to the next choice of person/thing.
From the given question we have B will be eliminated
Therefore we have
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
We eliminate B, the votes are transferred to the next (A)
A>C = 26 ⇒ A has 26 votes
C>A>B = 42 ⇒ C has 42 votes
Therefore the total votes are
A votes = 41 + 26 = 67 votes
Therefore after eliminating B due to Hare Method, A will have a total of 67 votes.
To learn more about the votes visit:
https://brainly.com/question/3710029
Solve the system, enter as an ordered triple. Need HELP!!
Answers
This means x = 2, y = 3 and z = 1
========================================================
Work Shown:
Double everything in the second equation to get 4x-2y+4z=6
Add this result to the first equation
[tex]x+2y-4z = 4\\4x-2y+4z = 6\\5x+0y+0z = 10[/tex]
The first two lines of that expression above shows us adding x+2y-4z=4 to the equation 4x-2y+4z = 6
The x terms add to x+4x = 5x
The y terms add to 2y+(-2y) = 0y
The z terms add to -4z+4z = 0z
The terms on the right hand side add to 4+6 = 10
That's how we end up with the new equation 5x+0y+0z = 10
That becomes 5x = 10 which solves to x = 2 when we divide both sides by 5.
------------------------
Use this x value in the third original equation to find z
3x-8z = -2
3(2)-8z = -2
6-8z = -2
-8z = -2-6
-8z = -8
z = -8/(-8)
z = 1
------------------------
Use the x and z values we found to find y
x+2y-4z = 4
2+2y-4(1) = 4
2+2y-4 = 4
2y-2 = 4
2y = 4+2
2y = 6
y = 6/2
y = 3
----------------------
Overall we get the solutions to be x = 2, y = 3 and z = 1
We can say the solution as an ordered triple is (x,y,z) = (2,3,1)
Dawn bought 3 video games and 9 DVDs for $75. Jerry bought
5 video games and 10 DVDs for $25 more than Dawn. How
much did each DVD cost?
Answers
Answer:
$5
Step-by-step explanation:
We can solve this using a system of linear equations. The equations are written like this:
3v + 9d = 75
5v + 10d = 100 (25 more than Dawn's total is 100)
V represents video games and d represents DVDs.
Let's isolate a variable, I'm going to isolate v in the first equation:
3v = -9d + 75
v = -3d + 25
Now that we isolated v we can plug it in to the second equation:
5(-3d + 25) + 10d = 100
-15d + 125 + 10d = 100
-5d + 125 = 100
-5d = -25
d = 5
Therefore, each DVD cost $5.
Check:
3v + 9(5) = 75
3v + 45 = 75
3v = 30
v = 10
5(10) + 10(5) = 100
50 + 50 = 100
100 = 100
I hope this helps!!
- Kay :)
find the length of side x in simplest radical denominator
Answers
Answer:
324352
Step-by-step explanation:
Please help I dont understand..
Answers
Answer:
2. A
3. H
4. D
5. C
6. G
7. E
8. F
1. The radius equals
units
2. The diameter equals
units
Answers
Answer:
radius = 4units
diameter = 8units
Step-by-step explanation:
The radius is the distance from the midpoint of a circle to any point on the side of the circle. In this case, the radius is, 4units. The diameter is twice the radius and is 8 units.
How is 0,2 an answer?
Answers
Answer:
it is an answer if you are using a coordinate plane
Step-by-step explanation:
The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .
The coordinates of the vertices of △J′K′L′ are J′(0, −4) , K′(−5, −4) , and L′(0, −1) .
What is the sequence of transformations that maps △JKL to △J′K′L′ ?
reflection across the x-axis
rotation of 180° about the origin
rotation of 90° counterclockwise about the origin
translation 1 unit left
A sequence of transformations that maps △JKL to △J′K′L′ is a _________ followed by a ___________?
Answers
Answer:
The sequence of transformations are;
A translation by 1 unit left, followed by a reflection across the x-axis
Step-by-step explanation:
Here, we want to know the transformation sequence
Let us select one point
J(1,4)
to J’(0,-4)
To translate 1 unit right means that we are subtracting the value of 1 from the x-coordinate
That leaves us with (0,4)
To get the change in the y-coordinate value to negative, it means that we have reflected over the x-axis
x-axis reflection turns (x,y) to (x,-y)
So, the sequence of transformations that maps the two is;
A translation by 1 unit left followed by a reflection across the x-axis
Answer:
translation 1 unit left, then 180 degrees
Step-by-step explanation:
J (1,4)
K (6,4)
L (1,1)
Moving it 1 unit left, x unit - 1
J (0,4)
K (5,4)
L (0,1)
Now, rotate it 180 degrees, (x,y) = (-x,-y)
J' (0,-4)
K' (-5,-4)
L' (0,-1).
Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translates 1 unit to the left and then rotate 180 degrees about the origin.
Which shape is similar to shape x?
Answers
Answer:
the c oneStep-by-step explanation:
hope it will helpAnswer:
Step-by-step explanation:
Probably C but I sure wouldn't bet the farm on it. It looks like C is about 1.5 times the size of X
Help please due soon
Answers
2. y=-1
3.t=2
4. d=2.1
5.k=0
6. -13 1/3
Answer:
1. H=6
2. Y= -1
3. T= 2
4. D= 2.1
5. K= 0
6. -13 1/3
Step-by-step explanation:
Identify the underlined place in 131.572. Then round the number to that place
The 5 is underlined
Can someone please help??
Answers
Answer:
The 5 is in the tenths place.
Step-by-step explanation:
:)
Answer:
131.6
Step-by-step explanation:
Since the 5 in 131.572 is underlined, we need to round the number to the nearest tenth. When rounding numbers, we need to look at the digit next to the rounded digit. The digit after 5 is 7.
If the digit after that is 1-4, we round down the 5. If the digit after that is 5-9, we round up the 5. Since 7 is between 5 and 9, we round the digit 5 to 6.
Thus, the rounded number would be: 131.6
Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, names of all of the student's teachers}
Answers
Answer:
what
Step-by-step explanation:
HELP QUICKLY PLEASE Which of these is used to find the estimated age range of a fossil?
Absolute dating
Half-life
Index fossils
Radioactive dating
Answers
Answer:
Step-by-step explanation:
Radioactive dating becouse they look how long the fossils were there
Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes
Answers
4/32 = x/48
48/32 = 1.5
x/4 = 1.5, 4 * 1.5 = 6
Solution: 6 miles