Option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
We have to find the product of (3a²b⁷)(5a³b⁸)
a and b are the variables in the expression.
We have to find the product.
Let us first multiply the constant terms which are 3 and 5 we get 15
15 (a²b⁷)(a³b⁸)
We know that in a product if the bases are same then the powers will be added
15a⁵b¹⁵
Hence, option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
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Devon sells used laptop computers. He recorded the ages of some laptops and the prices for which they sold in this scatterplot
Answer:
B. (6, 325) and (21, 200).
Step-by-step explanation:
A line of best fit that that would best represents and show the trend between two variables on a scatter plot is a line drawn to connect points that will produce a line whereby most of the data points would be clustered around the line or not much far apart from each other along the line of best fit.
Therefore, from the given suggested points that Devon can draw a line, the most appropriate two points that would give a good line of best fit are points (6, 325) and (21, 200).
Try connecting these two points by drawing a line, you will discover that most of the data points represented fall along the line or and they are not much far apart from each other along the line.
You have nine subjects to split into three groups. You need to select the first three subjects from the list of names provided below.
1. Berliner
2. Blumenthal
3. MacEachern
4. Wolfe
5. Stasny
6. Santner
7. Verducci
8. Lin
9. Critchlow
To do this, use the numerical labels attached to the previous names and the following list of random digits. Read the list of random digits from left to right, starting at the beginning of the list.
44982 20751 27498 12009 45287 71753 98236 66419 84533 11793 20495 0590711384 The simple random sample is:_________.
a. Wolfe, Lin, and Critchlow.
b. 449
c. 498.
d. Wolfe twice and Critchlow.
Answer:
a. Wolfe, Lin, and Critchlow
Explanation:
We choose random sample of subjects based on the first random number from left to right and since 4(number appears two times so we wait for next different number) and 9 come first we choose Wolfe and critchlow. The third Subject as we have to choose 3 subjects per sample is Lin since her number 8 appears next. Also the order doesn't matter so we could have Wolfe, Lin, and Critchlow or Critchlow, Lin, Wolfe or in any other order
A cube has a side length of 20 in . find the value
Insert < or > to form a true statement -17/18,3/5
Answer:
-17/18< 3/5
Step-by-step explanation:
positive is always greater than negative
Round to the nearest ten to estimate the difference of 789-371
Answer:
420
Step-by-step explanation:
Subtract the numbers
789 - 371
Sum:
418
Remember, we did not necessarily round up or down, but to the ten that is nearest to 418.
First, 418 rounded to the nearest ten is
420
When rounding to the nearest ten, like we did with 418 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height of 72.0 inches and a standard deviation of 1.2. The Aviston Aces have a mean height of 70.8 inches and a standard deviation of 0.7. The Ballwin Bears have a mean height of 73 inches and a standard deviation of 1.0. On average, which team is a taller? Which team has players whose heights are more consistent? Select the correct answer below: The Derby Dragons are taller on average, and have players whose heights are more consistent. The Ballwin Bears are taller on average, and the Derby Dragons have players whose heights are more consistent. The Derby Dragons are taller on average, and the Ballwin Bears have players whose heights are more consistent. The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.
Answer:
The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.
Step-by-step explanation:
for derby dragon;
mean height = 72 inches
standard deviation = 1.2 inches
for aviston aces:
mean height = 70.8
standard deviation = 0.7 inches
for balwin bears;
mean height = 73 inches
standard deviation = 1.0 inches
the mean height of aviston aces < mean height of derby < mean height of balwin bears
So on average the balwin bears are taller.
The standard deviation of derby dragon is > that of balwin bears > aviston aces.
So the more consistent height is that of aviston aces players.
Meadow is growing her hair out. The graph below shows how much her hair has
grown over the last 8 months.
Meadow's Hair
5
4
3
Inches of Growth
2
1
1
0
1 2 3 4 5 6 7 8
Months of Growth
Which of the following shows the rate at which Meadow's hair is growing?
I need the same one and 8,7 too
MULTIPLE CHOICE!!! pls tell me if it’s a, b, or c and provide a brief explanation
How many gallons of pure alcohol should be added to 40 gallons of a 20% solution so
that a mixture is 25% alcohol?
Answer:
8/3
Step-by-step explanation:
i put equations as this:
x+40 = y
where x is galllons of pure mixture and y is the gallons of the new mixture
the other equation i id was:
x+0.2(40) = 0.25y
x+8 = 0.25y
y = 4x+32
solve using substitution
(x+40) = 4x+32
x = 4x-8
-3x = -8
x = 8/3
An object has velocity of 8 m/s and kinetic energy of 480j what is the mass of the object
==============================================
Work Shown:
KE = 480
v = 8
KE = (1/2)*m*v^2
480 = 0.5*m*8^2
480 = 0.5*m*64
480 = 0.5*64m
480 = 32m
32m = 480
m = 480/32
m = 15
The SI unit for mass is in kilograms
Also a joule is defined with kilograms since 1 J = 1 kg*m/s^2
1 joule is the amount of energy needed to move an object of mass 1 kg with an acceleration of 1 m/s^2
So this is why the mass m is in kilograms.
please help me with 11th grade math // Geometry
Answer:
I sent I the answers on ur account
Do,_1/2 of Z is.
HELP!!! Do not understand!!
What is the input value other than 0 for which f (x) = -2?
Answer:-3
Step-by-step explanation:
10. A motor cyclist travel 48km at 16km
Find the time taken
Answer:
can u make. the question more clear how can I find the answer when both are in km?
Max read that there are
about 321 million cubic miles
of water in the Earth's
oceans. Write this
amount using scientific
notation
A3.21 x 107 miles
B3.21 x 108 miles
C 3.21 x 100 miles
Answer:
well its not a bc it goes over so would b so obviously it is c
Dont believe me?
What is the y-intercept
Answer:
7
Step-by-step explanation:
The y-intercept is the value of y when x = 0. In other words, the point the line intersects at the y-axis. By looking at the graph, you can tell the line intersects the y-axis at point (0, 7).
Determine the quotient of 1 2/3÷4/5.
A.1 1/3
B.1 8/15
C.2 1/12
D.2 5/6
Answer:
A
Step-by-step explanation:
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
20 bottles
40 bottles
25 bottles
50 bottles
Answer:
50 bottles
Step-by-step explanation:
8.6×50=430 seconds so that the answer is 50 bottles
Answer:
i belive the answer is 50. correct me if im wrong.
Step-by-step explanation:
Plz answer this I need help it’s 15 points
Each year, the campers at Alvin's summer camp try to set that summer's record for finishing
the obstacle course as quickly as possible,
Record obstacle course completion times
Year Record time (minutes)
2007 - 29
2008 - 26
2009 - 26
2010 - 23
2011 - 26
According to the table, what was the rate of change between 2008 and 2011?
minutes per year
Answer:
about 3
Step-by-step explanation:
because it stays the same then it goes down and up
Answer:
about 3 because you have .both 26 then 23 then 26
if wrong plz tell me so i can fix my answer
Step-by-step explanation:
can i have brainliest?❤️
3(4x-7)=27
how do i solve this ?
Answer:
x=4
Step-by-step explanation:
3(4x-7)=27
Divide each side by 3
3/3 (4x-7)=27/3
4x-7 = 9
Add 7 to each side
4x-7+7 = 9+7
4x = 16
Divide each side by 4
4x/4 = 16/4
x = 4
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
3
Step-by-step explanation:
What do the following two equations represent?
6x-15y=15 and y=2/5x-1
Answer:
Same Line
Step-by-step explanation:
The solutions are all the same when both of them are asked to be solved. When you graph it, you get the same line, not intersecting, not perpendicular, its the same line.
Therefore the Answer is Same Line
The given two equations 6x - 15y = 15 and y = (2/5)x - 1 represent that both are identical to each other.
What is the equation?The equation is defined as a mathematical assertion with at least two terms that contain variables or integers that are equal.
We have been given two equations as
6x - 15y = 15 and y = 2/5x - 1
⇒ 6x - 15y = 15
Divided by 3 both sides of the equation
⇒ 2x - 5y = 5
⇒ y = 2/5x - 1
Multiply by 5 both sides of the equation
⇒ 2x - 5y = 5
When both of them are required to be solved, the answers are identical. When you graph it, you get the same line—not one that is perpendicular or intersecting—but just one that is.
As a result, the answer is identical.
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Please hurry it’s urgent thank you
Answer:
[tex]b^{9}[/tex]
Step-by-step explanation:
3 + (-5) + 11 = 9
Sualuate the following crbustions
2x-3y+1 when x = 1, y = -1
Answer:
6
Step-by-step explanation:
First you want to rewrite the equation
2*1-3*(-1)+1
Then you want to do order of operations until you get your answer!
I hope this helps!
A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures 90 degrees: If Larry eats the slices in order from the largest to the smallest, then the number of degrees spanned by a slice decreases at a constant rate. (So the second slice is smaller than the first by a certain number of degrees, then the third slice is smaller than the second slice by that same number of degrees, and so on.)
What is the degree measure of the fifth slice Larry eats?
Can someone explain how they got the answer and what numbers to use?
9514 1404 393
Answer:
42°
Step-by-step explanation:
The problem tells you the degree measures form an arithmetic progression. The sum of the 6 terms of the progression is 360, and the first term is 90.
The sum of n terms of an arithmetic progression is given by ...
Sn = (a1 +d/2(n -1))n
For Sn = 360, a1 = 90, n = 6, we have ...
360 = (90 +d/2(5))(6)
Dividing by 6 and subtracting 90 gives ...
-30 = 5/2d
Multiplying by 2/5, we find the number of degrees difference to be ...
d = -12
Then the 5th term of the sequence is ...
an = a1 +d(n -1)
a5 = 90 -12(5 -1) = 90 -48 = 42
The 5th slice Larry eats has a measure of 42 degrees.
_____
The slices measure 90, 78, 66, 54, 42, 30 degrees.
Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.
Answer:
u
Step-by-step explanation:
find the two angle measures from diagram 8x+10 12x-18
Answer:
66 and 66Step-by-step explanation:
Given angles are vertical angles
Vertical angles are equal as per vertical angles theorem
8x + 10 = 12x - 1812x - 8x = 10 + 184x = 28x = 7The angles measure
8*7 + 10 = 56 + 10 = 66What equation is perpendicular to y = 3/2x-3 and passes through (-1, 2)?
Answer:
y=2/3x-16/3
Step-by-step explanation:
Find perpendular by using negative reciprocal. Then plug in your x and y points into that equation, y=-2/3x-3 --> Then make y=2 and x=-1 --> 2=2/3(-1)+b
solve for b and ur done.
A cake is made from the ingredients listed below.
500 g flour, 450 g butter, 470 g sugar,
1.8 kg mixed fruit, 4 eggs (70 g each)
The cake loses 12% of its mass during cooking.
What is its final mass?
To make a cake :-
Quantity of flour needed = 500 g
Quantity of butter needed = 450 g
Quantity of sugar needed = 470 g
Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g
Quantity of eggs needed = 70 × 4 = 280 g
It's weight after adding all the ingredients =
=500 + 450 + 470 + 1000 + 800 + 280
= 3500 g
Mass that got lost while baking the cake :
= 12 % of 3500[tex] = \frac{12}{100} \: of \: 3500[/tex]
[tex] = \frac{12}{100} \times 3500[/tex]
[tex] =\frac{(12 \times 3500)}{100} [/tex]
[tex] =\frac{42000}{100} \: g[/tex]
[tex] = 420 \: g[/tex]
Final mass = Initial mass - mass that got lost
[tex] = 3500 - 420 \: g[/tex]
[tex] = 3080 \: g[/tex]
∴ The final mass of the cake is 3080 g .
Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. long and 8 ft. high. Two walls each have one door,
and both doors measure 3 ft. by 7 ft. One wall has a window that is 3 ft. by 5 ft. The doors and window do not have to be painted
What is the area of the wall space that has to be painted?
Answer:
Step-by-step explanation:
519 I believe