please help
with answer
Answer:
-12 is the answer
Step-by-step explanation:
Substitute 1/4 for a and 6 for b in the equation
-8ab
-8(1/4)(6) Multiply
-8(1.5) Multiply
-12
Anya plays one round of her favorite online game every day. One week, she played 7 rounds and scored between 120 and 300 points each round. She calculated the mean and median of those scores.
Then, Anya found out that the day she scored 300 points was a special "double points" day, so she actually earned 600 points, not 300.
How will this amount increasing affect the mean and median?
Answer:
D: The mean will increase, and the median will stay the same.
Step-by-step explanation:
Strategy
The mean and median are two ways to describe the center of a data set.
When a data set is almost symmetrical, the mean and median are close together.
When a data set is not symmetrical, the mean is usually closer to the outliers or tail than the median.
Let's reason conceptually about the measures of the center since we do not know the exact values.
Reasoning about the median
There are 7 scores. When the scores are in order from least to greatest, the median is the 4th score.
The day when Anya scored 300 points was the largest score both before and after that score was increased. So that is the 7th score when we order them from least to greatest.
Changing the 7th score does not change the 4th score, so the median stays the same.
Reasoning about the mean
Let's remember how to calculate the mean:
mean = total points/number of rounds
The largest score increasing from 300 to 600 points increases the total number of points. However, it does not change the number of rounds. So the mean increases.
Conclusion
D: The mean will increase, and the median will stay the same.
Pentagon A’B’C’D’E’ is the image of pentagon ABCDE under a dilation with a scale factor of 3/4.
What is the length of segment AE?
The length of segment A'E' under a dilation with a scale factor of 3/4 is; 3/2 units.
How to Interpret Scale of Dilation?
From the included graph the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A: (0, 0)
E: (0, 2)
The length of the segment AE = √((2 - 0)² + (0 - 0)²) = √(2²) = 2
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 3/4, we have;
Length of segment A'E' = 3/4 × Length of segment AE
Therefore;
Length of segment A'E' = 3/4 × 2 = 3/2 units.
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Mary Beth collected 8 pounds of aluminum cans to recycle to start. She plans on collecting 3 more pounds each week.
How many total pounds of aluminum cans will she have collected after 3 weeks?
Answer:
She will have a total of 17 pounds.
Step-by-step explanation:
You could simply put the question is slop intercept form to figure it out from there.
y = m(x) + b
y = 3(x) + 8
y = 3(3) + 8
y = 9 + 8
y = 17
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Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below.
Answer:
a
Step-by-step explanation:
simplyfy 5x-2x
How?!
Answer: 3x
Step-by-step explanation:
5x-2x=
5*x-2*x=
x(5-2)=
x*3=3x
Answer:3x
Step-by-step explanation:
combine like terms
5x-2x
2x is a negative
so 5-2=3
so in conclusion 3x
Estimation Solve the equation. First estimate using the perfect square closest to 85. Then use a calculator.
72 = 85
Estimate.
Z~ 9, -9"
(Use a comma to separate answers as needed.)
Use a calculator.
zan
(Round to the nearest tenth as needed. Use a comma to separate answers as needed.)
Answer: z aprox = 9.2
Step-by-step explanation:
1) Square root 85 to get the answer
sqrt(z^2)=sqrt(85)
z = sqrt(85)
z = 9.2195
z aprox = 9.2
In the diagram below of triangle DEF, G is a midpoint of D E and H is a midpointof EF. If MZGHE = x + 52, and mZDFH = 96 – 102, what is the measureof ZDFH?
According to the given figure, angles GHE and DFH are corresponding angles, which are equal because GH and DF are parallels. So, we can express the following
[tex]m\angle GHE=m\angle DFH[/tex]Replacing the given expressions, we have
[tex]x+52=96-10x[/tex]Let's solve for x
[tex]\begin{gathered} x+10x=96-52 \\ 11x=44 \\ x=\frac{44}{11} \\ x=4 \end{gathered}[/tex]Then, we find the measure of the angle DFH
[tex]\begin{gathered} m\angle DFH=96-10x=96-10\cdot4=96-40 \\ m\angle DFH=56 \end{gathered}[/tex]Hence, the angle DFH measures 56°.DONT IGNORE HELP PLEASE
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-3}{2-0}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line
prediction of the mean value of the dependent variable y for values of the independent variables x 1, x 2, . . . , x q that are outside the experimental range is called
Prediction of the mean value of the dependent variable y for values of the independent variables x 1, x 2, . . . , x q that are outside the experimental range is called extrapolation of data.
What is extrapolation of data?In statistics and mathematics, especially in the branch of data-science it is quite common to use a range of values from a parameter to predict the values of the dependent variable.
One of the most common applications of this is regression equations, when pairs of one of the independent variables with the dependent variable are used to predict the dependent variable.
In the case of this problem, we want to predict the dependent variable, but with values that are outside the experimental range, hence we extrapolate the data inside the experimental range for values that are outside the experimental range.
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NEED HELP ASAP - 100 POINTS (Algebra 2)
When solving quadratic equations, there are benefits to utilizing one method over the other. In your own words, explain what the advantages may be of using the method of completing the square to solve quadratic equations.
Answer:
Step-by-step explanation:
Comment
That's an awful lot of points to give away. Ten or 15 should be enough.
Completing the square.
1. First of all you can find the minimum or maximum immediately.
2. Second it cuts out the need to use the givens (a, b, c) in the quadratic formula which can at times be very cumbersome.
3. It gives you the opportunity to estimate the x and y roots without calculating them. Estimating on a test is a very valuable asset.
Jacob has 7 marbles. Darren has 17 marbles.
How many more marbles does Darren have
than Jacob?
PLEASE HELP THIS MAKES NO SENSE AND WOULD BE VERY MUCH HELPFUL IF YOU CAN JUST ANSWER THEM GRADES ARE DUE TOMORROW, please help.
Distance between M(6,-7) and a line that contains the points C(-6,-2) and H(-1,10) is 7.846
First we will find the equation of the line containing the points C(-6,-2) and H(-1,10).
Take (x₁, y₁) = (-6,-2) and (x₂, y₂) = (-1,10).
Then the slope of the line, m = y₂-y₁/x₂-x₁
= 10- -2/-1- -6
= -12/7
So the equation of the line is
y-y₁ = m(x-x₁)
⇒ y- -2 = -12/7(x- -6)
⇒ y+2 = -12/7(x+6)
⇒7(y+2) = -12(x+6)
⇒ 7y +14 = -12x -72
⇒ 12x+7y +14+72 = 0
⇒ 12x+7y+86 = 0
This is in the form ax+ by+ c = 0
Also given the point (x, y) = (6, -7).
Distance between a point (x, y) and a line ax+ by+ c = 0 is,
[tex]\frac{|ax+by+c|}{\sqrt{a^2+b^2} }[/tex].
So Distance between M(6,-7) and the line 12x+7y+86 = 0 is
[tex]\frac{|12.6+7.-7+86|}{\sqrt{12^2+7^2} }[/tex] = |72-49+86|/√(144+49)
= 109/√193
= 7.846
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At a store, shirts are regularly priced $9.95 each. The store is having a sale in which if a customer buys two shirts, he or she will get the third shirt at half-price. Sales tax is 7%. About how much will a customer spend on three shirts? *
.
.
A. $16
B. $25
C. $27
D. $32
Answer:
C. $27
Step-by-step explanation:
9.95÷2=4.975
9.95+9.95+4.975=24.875 or 24.88
24.88×7%+24.88=26.62
Max is designing a hot tub for a local spa.
He wants the hot tub to have a diameter of 90 inches, what is the approximate area required for the installation of the hot tub? (Use 3.14 for.)
Max is designing a hot tub for a local spa, he wants the hot tub to have a diameter of 90 inches, the approximate area required for the installation of the hot tub is [tex]6358.5in^{2}[/tex]
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is separation between any point on the circle and its center. The radius must typically be a positive integer. A degenerate case is a circle with r=0. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior. In common parlance, the word "circle" can apply to either the figure's boundary or its entirety, including its inside; in rigorous technical parlance, the circle only refers to the boundary and the entire shape is referred to as a disc.
A circle can also be described as a particular type of ellipse where the semi-major and semi-minor axes are equal, the eccentricity is 0, and the two foci are coincident, or as the two-dimensional shape with the greatest area per unit perimeter squared when applying calculus of variations.
if, diameter= 90 inches
radius = 90/2= 45inches
area= [tex]\pi r^{2}[/tex]
= 3.14* 45* 45
= 6358.5[tex]in^{2}[/tex]
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Using the SSS congruence criterion, what additional information is needed to show that ARST AUTS?
-(1.67+ 1.67 +26.6) x 10-24
-29.94 x 10-24
-2.994 x 10-23
The mass of a water molecule is about 2.994 x 10-23 g.
Look at the Example. A hydrogen peroxide molecule has two oxygen atoms and
two hydrogen atoms. What is the mass of one molecule of hydrogen peroxide?
Write your answer using scientific notation.
2 a. Use the information from the Example. Complete the steps to find how
many grams as great the mass of one oxygen atom is than the mass of one
hydrogen atom.
(2.66 x 10-23) - (1.67 x 10-24) =(
The mass of an oxygen atom is
=
x 10-24) (1.67 x 10-24)
-) X 10-24
X 10-24
X 10-23
Answer:
is it not 10 minus 23 I think that would be the answer
Answer:
Step-by-step explanation:
1.9×10−221.99×10−231.99×10−231.9×10−221.91.99×10−2210−231.991.9×10−2310−22Divide numbers and 10's separately0.954774...×1010.954774...×101Subtract exponents9.54774...9.54774...Convert to standard notation9.59.5
wander 9.5
is 5,521 a reasonable answer for 218x12
Answer:
No
Step-by-step explanation:
Without even answering 218*12 it is obvious this is the wrong answer
the last digit of each number determines the last digit in the answer
218 has 8 as the last number and 12 has 2
multiply them together
2*8 is 16
the last digit is 6 and not 1
Answer:
No- 218 * 12 = 2616.
Multiply with an algorithm and add the partial products up to check. You don't get 5,521 when you multiply 218 * 12.
A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can
seat at most 200 people The manager wants to collect at least $1000 from ticket sales.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.
Which inequalities are among the constraints lor this situation?
Select each correct answer.
0 z t y ≥ 1000
O 12z + 8y ≥ 1000
O 12 + 8y ≤ 1000
O zty 2 200
O z+ yS 200
D 12z + 8y ≤ 200
The inequalities that are the constraints for the situation are 12x + 8y ≥ 1000 and x + y ≤ 200 options (B) and (D) are correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.
Total collection = 12x + 8y
12x + 8y ≥ 1000
x + y ≤ 200
Thus, the inequalities that are the constraints for the situation are 12x + 8y ≥ 1000, and x + y ≤ 200 options (B) and (D) are correct.
The missing options are:
12x+8y≤100012x+8y≥1000x+y≥1000x+y≤200x+y≥20012x+8y≤200Learn more about inequality here:
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51 points composite functions need help soon
Answer:
(f∘g)(12) = 24
Step-by-step explanation:
Pre-SolvingWe are given the functions f(x)=4x+8 and [tex]g(x)=\sqrt{x+4}[/tex]. We want to find (f∘g)(12).
(f∘g)(12) means that we first find the value of g(12), and then plug that value into f(x).
SolvingFirst, we find g(12). To do this, substitute x as 12.
[tex]g(12) = \sqrt{12 + 4}[/tex]
Add 12 and 4 together under the radical.
[tex]g(12) = \sqrt{16}[/tex]
Take the square root of 16.
g(12) = 4
Now, substitute 4 as x in f(x) = 4x + 8.
f(4) = 4(4) + 8
Multiply.
f(4) = 16 + 8
Add 16 and 8 together.
f(4) = 24
f(4) has the same value as (f∘g)(12), since 4 is the value of (g)(12), and then the value of g(12) was plugged in as x in f(x).
Therefore, (f∘g)(12) is 24.
Rewrite the power as a product of powers (2ax)^3
The power can be re written as a product of (2ax)^3 as (2ax *2ax* 2ax ).
What is product and power?Product can be described as the multiplication operation of two or more terms so that another term can be gotten just like the one that is been given in the question that we were asked to rewrite.
Power serves as the degree that is been found on the terms , the degree that can be on the term is 3, then this can be expressed in three terms which will be done below.
Therefore, the given expression (2ax)^3 can be rewritten as (2ax *2ax* 2ax )
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A bag contains ten tlles labeled B, C, D, E, F, G, H, I, J, and K. One tile will be randomly picked.What is the probability of picking a letter that is not a vowel?Write your answer as a fraction in simplest form.
The number of vowels is:
[tex]2[/tex]The total number of tiles is:
[tex]10[/tex]Therefore, the total number of letters not vowels is given by:
[tex]10-2=8[/tex]Hence, the probability of picking a letter that is not a vowel:
[tex]\frac{8}{10}=\frac{4}{5}[/tex]Therefore the required probability is 4/5
If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)
If we write [tex]k[/tex] where we see [tex]x[/tex] in the equation and set the result equal to [tex]-10[/tex], we get the result.
[tex]f(k)=k(k)^3+k^2-k(k)+2[/tex][tex]=k^4+k^2-k^2+2[/tex][tex]=k^4+2=-10[/tex][tex]k^4=-12[/tex][tex]k_{1}=\sqrt[4]{3}(-1-i)[/tex][tex]k_{2}=\sqrt[4]{3}(-1+i)[/tex][tex]k_{3}=\sqrt[4]{3}(1-i)[/tex][tex]k_{4}=\sqrt[4]{3}(1+i)[/tex]pete's pizza sells 12 inch pizzas. if pizza diameter has a mean of 12 inches and a standard deviation of .25 inches, what percent of pizzas are less than 12.04 inches? (z value of .16 is equal to a cumulative standardized normal distribution of .5636). 56.36% 43.64% 6.36% cannot be determined with the information given
The percent of pizzas that are less than 12.04 inches is 56.36%
Given the following:
Mean, μ=12
Standard deviation, σ=0.25
Percent of pizzas less than 12.04:
Let P(X<12.04) be percent of pizzas less than 12.04
P(X<12.04)=P(Z<(x-μ)/σ)
=P(Z<(12.04-12)/0.25)
=P(Z<0.16)
Z-value of 0.16 from cumulative standardized normal distribution is 0.5636
Given that P(X<12.04)=P(Z<0.16), and P(Z<0.16) from normal distribution table is 0.5636,
P(X<12.04)=P(Z<0.16)=0.5636
P(X<12.04)=0.5636
=56.36%
Hence, the correct choice is 56.36%
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An investor puts $800 in an account that pays 2% interest compounded annually. Find the account balance after 5 years.
The account balance is $883.264 after 5 years.
The Principal amount is $800, the time given is 5 years and the rate of interest is 2%.
We have to find the account balance after 5 years.
Formula to find the amount
Amount = Principal × [tex](1 +\frac{rate}{100}) ^{time}[/tex]
Now putting the value we get,
Amount = 800 × [tex](1 + \frac{2}{100} )^{5}[/tex]
= 800 × [tex]\frac{102}{100 } ^{5}[/tex]
= 800 ×[tex]1.02^{5}[/tex]
= 800× 1.104
= 883.264
Therefore the amount is $883.264 that is the account balance after 5 years.
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Evaluate. Write your answer as a whole number or as a simplified fraction.
36.
When you divide powers with the same base (in this case, 6), you subtract the exponents.
See details:
[tex]\frac{6^{8} }{6^{6} } \\8-6=2\\6^{2}=36[/tex]
The highest temperature recorded in the town of Westgate this summer was 95°F. Last winter, the lowest temperature recorded was −5°F. Find the difference between these extremes.
is it right? but there isn't a square root for 3. And also I need an answer for the other one.. I need a great explanation quickly help!
Answer:
[tex]x=0, \quad x=3[/tex]
Step-by-step explanation:
Given equation:
[tex]9x^2-27x=0[/tex]
Factor out the common term 9x:
[tex]\implies 9x(x-3)=0[/tex]
Zero Product Property: If a⋅b = 0 then either a = 0 or b = 0 (or both).
Using the Zero Product Property, set each factor equal to zero and solve for x:
[tex]\begin{aligned}\underline{\sf Case\; 1} & & \underline{\sf Case \;2}\\9x&=0 & x-3&=0\\\dfrac{9x}{9} & =\dfrac{0}{9} & \quad \quad x-3+3 & =0+3\\x&=0 & x&=3\end{aligned}[/tex]
Therefore, the solutions to the given equation are:
[tex]x=0, \quad x=3[/tex]
PLEASE HELP ME I NEED HELP
The ordered pairs are (0,-7).
How Can an Ordered Pair Be Found?Any equation's ordered pair can be calculated by substituting any integer or the rational number for one of the variables, then solving for the remaining variable.
Consequently, we obtain values for both variables that meet the stated equation.
Solution:
5x - y = 7
Lets take, x = 0
Then,
5(0) - y = 7
y = -7
Then,
The ordered pair is (0,-7).
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urgent pls help!!!!
The number that makes the mixed fraction equation true is -1.
What number makes the equation true?The number that makes the equation true is calculated by applying the following formula as follows;
The given equation;
-7 ¹/₂ + ? = - 8 ¹/₂
The solution of the equation is calculated as follows;
Convert each mixed fraction into improper fraction;
-7 ¹/₂ = -15/2
-8 ¹/₂ = -17/2
-15/2 + ? = -17/2
Collect the similar terms together as follows;
? = -17/2 + 15/2
? = (-17 + 15) / 2
? = -2/2
? = - 1
Thus, the number that makes the equation true is -1.
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