[tex]( {y}^{8} )( - 2 {y}^{2} ) = - 2 {y}^{10} [/tex]
To multiply the monomials (Y⁸)(-2y²), add the exponents and multiply the coefficients resulting in -2y¹⁰.
To multiply the given monomials (Y⁸)(-2y²), we use the laws of exponents which state that when multiplying like bases, we add the exponents. The coefficient -2 multiplies by 1 (the implied coefficient of Y⁸) to remain -2. The new exponent for 'y' is the sum of 8 and 2, which is 10. So, the product in standard form is -2y¹⁰.
Step by step solution:
Identify like bases, which in this case is 'y'.Add the exponents of 'y' (8 from Y^8 and 2 from y²) to get a new exponent of 10.Multiply the coefficients (1 and -2) to get -2.Write the final answer combining the new coefficient and the new exponent of 'y': -2y¹⁰.100 POINTS!!
Which graphs show functions with direct variation? Select three options.
A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).
A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).
A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
Answer:
its B,C,and E
Step-by-step explanation:
PLEASE SIMPLIFY! 30 Points!!!
[tex] \frac{3 \sqrt{5} }{ \sqrt{15} } = 3 \times \sqrt{ \frac{5}{15} } = \frac{3}{ \sqrt{3} } \\ [/tex]
A cone with radius
2
22 units is shown below. Its volume is
29
2929 cubic units.
Find the height of the cone.
Answer:
6.9
Step-by-step explanation:
kala is in charge of planning a reception for 3400 people. she is trying to decide which snacks to buy. she has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results Brownies for 54 people, pretzels for 56 people potato chips for 52 people other for 63 people. based on the above sample predict the number of the people at the reception whose favorite snack will be brownies. round your answer to the nearest whole number. do not round any intermediate calculations
Answer:
816
Step-by-step explanation:
Find total number of people asked by adding all the people.
54 + 56 + 52 + 63 = 225
So, 54 out of 225 people have their favorite snack as brownies.
We need to find out how many it is for 3,400. We can do that by cross multiplying.
54 = x (did it like this so it's better visually)
225 3400
Multiply both sides by 3,400 and divide to get:
x = 816
What is the discriminant D of the equation?
n2+2n−2=0
Enter your answer in the box.
D =
Answer:
12
Step-by-step explanation:
Hint: This should be n^2+2n−2=0. The coefficients are a = 1, b = 2 and c = -2.
The discriminant is b^2 - 4ac = 4 - 4(1)(-2) = 12
Can anyone plzzzz helpn
Thank you
Answer:
200 square feet
Step-by-step explanation:
The formula for the lateral surface area of a square pyramid is [tex]a\sqrt{a^2+4h^2}[/tex], where a is the side length and h is the height of the pyramid. The first step is therefore to find the height of the pyramid. Using the pythagorean theorem, you can find that it is [tex]\sqrt{10^2-5^2}=5\sqrt{3}[/tex]. Plugging in our known values into the equation, you get [tex]10\sqrt{10^2+4(5\sqrt{3})^2}=10\sqrt{100+300}=10\cdot 20=200[/tex]. Hope this helps!
Liam says - (5/12) is equivalent to 5/-12. Explain if Liam is correct by completing the statements below.
A positive number divided by a positive number results in a negative quotient, and it's opposite is always positive. The fraction 5/-12 can be described as a positive number divided by a negative number, which always results in a negative quotient. The fractions have different value, so Liam is not correct.
Answer:
Answers in Order On I-Ready: Positive/Negative/Positive/Different/Not Correct
(pls hurry)This cylinder is cut by the plane shown. The plane is parallel to the base of the cylinder. What is the shape of the cross-section?
Answer:
circle
Step-by-step explanation:
i believe i've done this question and it was circle
which estimator will consistently have a skewed sampling distribution?
A.) coefficient of variation
B.) median
C.) standard deviation
D.) variance
Answer:
other duds wrong its d variance
Step-by-step explanation:
im 100% sure
The correct answer is option (C) Standard Deviation.The estimator that consistently has a skewed sampling distribution is the standard deviation, especially when the original data is non-symmetric or skewed.
Among the given options, the estimator that will consistently have a skewed sampling distribution is the standard deviation. When estimating the standard deviation from a sample, the resulting distribution does not always follow a normal pattern, especially if the original data is skewed. The standard deviation is calculated using each data point's deviation from the mean, which can lead to skewed results in non-symmetric distributions.
For instance, in a skewed distribution with extreme values, the mean and subsequently the standard deviation can be disproportionately influenced by those extremities, hence failing to accurately reflect the spread of the majority of the data. Therefore, sometimes measures like the median, which is not as sensitive to outliers, are considered better representations of the central tendency in a skewed data set.
Additionally, the standard deviation is meaningful for symmetrical distributions, while skewed distributions require a consideration of other measures such as the modes, medians, or quartiles. When presented with data, always visualize it using a histogram or a box plot to better understand the distribution.
I need help on both of these math problems
Answer:
How do I do this. Also What Grade are you in so I can better help you.
Step-by-step explanation:
I'm Very Sorry.
Someone answer ASAP please
Answer:
the answer is a
Step-by-step explanation:
distribute the minus sign on the second set of parenthesis and combine like terms
A line is drawn on a scatter plot as shown below.
which statement best describes the line?
A. it cannot be the line of best fit because does not show a positive linear relationship
B. it cannot be the line of best fit because it does not pass through all the data points
C. it can be the line of best fit because it passes through all the data points
D. it can be the line of best fit because it closely fits the data points
Answer:
D. It closely fits the data points.
Step-by-step explanation:
This is a negative linear relationship.
It's not possible to draw a straight line through all the points but D is pretty close to the points on the plot.
If the number of bacteria in a colony doubles every 105 minutes and there is currently a population of 45 bacteria,what will be the population by 315 minutes from now?
Answer:
180
Hope this helps :)
360
Step-by-step explanation:
1st minute => 45 bacteria
105th minute => 45 x 2 = 90 bacteria
210th minute => 90 x 2 = 180 bacteria
315th minute => 180 x 2 = 360 bacteria
$6000 is invested in an account that earns 4.5% annual interest, compounded continuously. What is the value of the account after 8 years.
Answer:
Convert 4.5% to a decimal. 6000,0.045, 8 years
Step-by-step explanation:
I used math--way
The value of the account after 8 years with continuous compounding is approximately $8593.76.
To find the value of the account after 8 years with continuous compounding, we can use the formula for continuous compounding:
A=P⋅e rt
Where:
A is the amount of money accumulated after
t years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (in decimal).
t is the time the money is invested for, in years.
e is the base of the natural logarithm, approximately equal to 2.71828.
Given:
P=$6000
r=4.5%=0.045 (in decimal)
t=8 years
Substituting the values into the formula:
A=6000⋅e 0.045⋅8
Now, let's calculate this:
A=6000⋅e 0.36
A≈6000⋅2.71828 0.36
A≈6000⋅1.432292989
A≈8593.757934
Rounding to two decimal places, the value of the account after 8 years with continuous compounding is approximately $8593.76, which is slightly different from the provided answer of $8532.60. This discrepancy might be due to rounding differences or calculation variations.
The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply. ∠A corresponds to ∠A'. ∠A'AC' corresponds to ∠B. CB corresponds to C'A. Segment A'A is parallel to segment C'C. △ABC ~ △A'AC'.
Answer:
it is ∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B.
CB corresponds to C'A.
and △ABC ~ △A'AC'.
Step-by-step explanation:
i just did it and got it right
All the options are correct.
∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B. CB corresponds to C'A.
Segment A'A is parallel to segment C'C.
△ABC ~ △A'AC'.
What is congruent geometry?
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
Since
The dilation DO,3 (x, y) → (3x, 3y)
its pre image of △ABC
if its pre image than the two triangle remains identical to all condition hence every condition in the option is true.
pre image doe not depends on dilation factor.
Thus, all the options are correct
Learn more about congruent geometry here. https://brainly.com/question/12413243
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Can you guys help me with this question?
an item is regularly priced at $37. Bill bought it at a discount of 85% off the regular price. Find out how much Bill paid
Answer:
5.55
Step-by-step explanation:
Answer:
5.55
Step-by-step explanation:
If you find how much 85% is of 37 you will get 31.45, so you have to subtract 31.45 from 37 to find out how much he paid for I think :) Hope this helps
PLEASE HELP
Arrange the functions in order from least to greatest rate of change.
Y=3/4 x -10
Y= 3/2 x 11/2
Y=1/2 x -2
Y=5/2 x +10
Answer:
Step-by-step explanation:
1. 1/2 *-2= -1
2. 3/4 *-10= -7.5
3. 3/2 *11/2= -8.25
4. 5/2 *+10= 25
hope this helps please give brainiest if right
the functions in order from least to greatest rate of change.
[tex]y=\frac{1}{2}x-2\\y=\frac{3}{4}x-10 \\y=\frac{3}{2}x+\frac{11}{2}\\y=\frac{5}{2}x+10\\[/tex]
Rate of change:
Slope of a line is the rate of change. Slope of a line tells us the steepness of the line. Equation of a line of the form y=mx+b
where m is the slope that is the rate of change.
Find the rate of change from each equation
[tex]y=\frac{3}{4}x-10\\slope =\frac{3}{4}\\\\y=\frac{3}{2}x+\frac{11}{2}\\slope =\frac{3}{2}\\\\y=\frac{1}{2}x-2\\slope =\frac{1}{2}\\\\y=\frac{5}{2}x+10\\slope =\frac{5}{2}\\[/tex]
Now we compare all the slopes
Slopes are the rate of change
[tex]slope =\frac{3}{4}\\ slope =\frac{3}{2}\\slope =\frac{1}{2}\\ slope =\frac{5}{2}\\\\\frac{1}{2} < \frac{3}{4} < \frac{3}{2} < \frac{5}{2}\\[/tex]
The function from least to greatest rate of change is
[tex]y=\frac{1}{2}x-2\\y=\frac{3}{4}x-10 \\y=\frac{3}{2}x+\frac{11}{2}\\y=\frac{5}{2}x+10\\[/tex]
Learn more information about rate of change here :
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what is the area of this triangle?
Answer:
i think it's 16
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The bottom triangle is a 3,4,5 meaning that 8 being the whole base minus 3 is 6. The height of the triangle is 4, 6*4 is 24. 3*4 is 12. When you combin ethem together you get 36.
I will need help how to work on it and answer
Answer: [tex]\frac{48}{100}[/tex]
Step-by-step explanation:
It says the total number of participants is 100, and the total number of male participants are 48.
Therefore, your fraction is 48/100, the number of males divided by the total participants
Which statement is true about Angle C P B?
Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.
Sorry, I don't know how to add pictures yet...
Answer:
It is congruent to Angle A P C
Step-by-step explanation:
Vertical angles are the angles opposite each other when two lines cross. They are always congruent.
In this problem we have that
-----> by vertical angles
see the attached figure to better understand the problem
therefore
It is congruent to Angle A P C
The True statement about <CPB is It is supplementary to angle APC.
The correct option is (B).
What is Supplementary Angle?In mathematics, the definition of supplementary relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another
It has an acute angle on one side and an obtuse angle on the other.The two angles are both right angles.The two angles do not have to be adjacent to form a straight line.As, when two angles that when added together equal 180 degrees is Supplementary Angle.
From the figure if we add <CPB and <APC forms the straight line gives the angle 180 degree.
i.e., <CPB + <APC = 180
or, <CPC= 180- <APC
So, <CPB is supplementary to angle APC.
Learn more about Supplementary Angle here:
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Find the slope of the line between these two points.
(−4, 7), (−6, −4)
Answer:
5.5
Step-by-step explanation:
gradient = (7-(-4))/(-4-(-6)) = 11/2 = 5.5
1 point
11. What is the lateral surface area of the rectangular pyramid below?
19 ft
18 ft
8 ft.
20 ft
Answer:
684 ft^2
Step-by-step explanation:
You can find the area of the middle rectangle by using:
[tex]A=LW[/tex]
[tex]A=18*20[/tex]
[tex]A=360[/tex]
You can find the area of a triangle by using:
[tex]A=\frac{BH}{2}[/tex]
Triangle 1: A=90
Triangle 2: A=72
2(72+90)+360
324+360
684
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 35? Round your
answer to the nearest tenth of a percent.
O A. 27.6%
O B. 29.6%
O c. 23.6%
OD. 25.6%
Answer: 29.6%
Step-by-step explanation:
The expression - 2 (8t^2- 24t) represents the height, in feet, of a football t seconds after it is kicked. Which value represents the initial velocity
of the football?
A.8
B.16
C.24
D. 48
Answer:
d
Step-by-step explanation:
(01.02 LC)Simplify 9 − (−4).
Answer:
13
Step-by-step explanation:
When we subtract a negative, it is like adding
9 - -4
9 +4
13
Answer:
13
Step-by-step explanation:
*ANSWER CORRECTLY FOR BRAINLISEST*
Answer:
Step-by-step explanation:
Mean = sum of all the data / Number of items
[tex]=\frac{26+30+45+43+26+14+28+33+56+29}{10}\\\\=\frac{330}{10}[/tex]
= 33
Answer:
oof my school blocked the picture
Step-by-step explanation:
NEED. HELP. PLEASE. !!!!!!!!!!!!!!!!!!!!!
Answer:
is d
Step-by-step explanation:
In a particular game, a spinner with four equally-sized sectors labeled 1, 4, 6, and 8 is spun twice. One turn is considered 2 spins of the spinner.
If the sum of the spins is even, you move forward 6 spaces. Otherwise, you move back 2 spaces.
What is the mathematical expectation for the number of spaces moved in one turn?
3 spaces forward
1 space backward
3 spaces backward
1 space forward
Answer:
P(sum is even) = 1/16 + 9/16 = 10/16
= 5/8
P(sum is odd) = 3/8
E(x) = (5/8)(6) + (3/8)(-2) = 3
The mathematical expectation for the number of spaces moved in one turn is 3 spaces forward.
In the expression below, what term will be distributed?
-3x?( 7x2 - x +4)
Answer:
-3x
Step-by-step explanation:
-3x( 7x2 - x +4)
When we distribute, the term on the outside of the parentheses is distributed ( multiplied) to the terms on the inside of the parentheses
-3x* 7x^2 -3x*-x -3x+4
-21x^3 +3x^2 -12x