Answer:
98
Step-by-step explanation:
(2a + [tex]\frac{1}{2a}[/tex] )² = 4a² + 2 + [tex]\frac{1}{4a^2}[/tex] , thus
10² = 4a² + 2 + [tex]\frac{1}{4a^2}[/tex] ( subtract 2 from both sides )
100 - 2 = 4a² + [tex]\frac{1}{4a^2}[/tex] , that is
4a² + [tex]\frac{1}{4a^2}[/tex] = 98
pls help I dont know how to work it out
Answer:
10 red, 35 blue
Step-by-step explanation:
2/9 of the 45 marbles must be red.
2/9 * 45 = 10
Answer:
10
Step-by-step explanation:
let's make the number of red marbles x
so probability of getting red marbles is x/45
so;.
[tex] \frac{x}{45} = \frac{2}{9} [/tex]
[tex] 45 \times \frac{x}{45} = \frac{2}{9} \times 45[/tex]
[tex]x = \frac{2}{9} \times 45[/tex]
[tex]x = 10[/tex]
so the number of red marbles is 10
Rectangle LMNO has vertices L (–4, 6), M (–1, 6), N (–1, 2), and O (–4, 2). Suppose you reflect this rectangle across the x-axis, and then translate it up two units. What are the corresponding vertices of L′′M′′ N′′O′′? Question 11 options: A) L′′ (–4, –4), M′′ (–1, –4), N′′ (–1, 0), O′′ (–4, 0) B) L′′ (4, –4), M′′ (1, –4), N′′ (1, 0), O′′ (4, 0) C) L′′ (–4, 8), M′′ (–1, 8), N′′ (–1, 4), O′′ (–4, 4) D) L′′ (–4, –8), M′′ (–1, –8), N′′ (–1, –4), O′′ (–4, –4)
Answer:
The correct option is:
A) L'' (-4 , -4) , M'' (-1 , -4) , N'' ( -1 , 0) , O'' (-4 , 0)
Step-by-step explanation:
The following are the vertices of a rectangle LMNO
L (-4 , 6)
M (-1 , 6)
N (-1 , 2)
O (-4 , 2)
First we have to reflect it across x-axis
When we reflect a shape across x-axis, the x components of the points remain the same while y components change their signs. After reflection:
L' (-4 , -6)
M' (-1 , -6)
N' ( -1 , -2)
O' (-4 , -2)
After we translate it up by two units, we add +2 to y components of each reflected point.
L'' (-4 , -4)
M'' (-1 , -4)
N'' ( -1 , 0)
O'' (-4 , 0)
Hence, the correct option is A
Anna spent $2.10 for 15 pencils, and Hendrik spent $2.00 for 21 pencils, and Jamie spent $1.60 for 11 pencils. List the students from least to greatest according to unit price paid.
Answer:
The unit rate for the pencils ANNA bought is $7.14
The unit rate for the pencils HENDRICK bought is $10.5
The unit rate for the pencils JAMIE bought is $6.87
Jamie, Anna, Hendrick
Step-by-step explanation:
Does this graph show a function? Explain how you know.
O A. No; there are y-values that have more than one x-value.
OB. Yes, there are no y-values that have more than one x-value.
O C. No; the graph fails the vertical line test.
O D. Yes; the graph passes the vertical line test.
Answer:
The answer is C.
Step-by-step explanation:
No because the graph fails the vertical line test.
Answer: No; the graph fails the vertical line test
Step-by-step explanation:
Find the exact length of the third side.
40
9
Answer:
89
Step-by-step explanation:
For your birthday you get an i‐Tunes gift card. The total cost for you to buy 3 albums at $9.99 each and then 5 individual songs each worth $1.29 is given by the expression 3(9.99) + 5(1.29).
PLz answer
ans show your work thank you
Answer:
$36.42
Step-by-step explanation:
3*$9.99=$29.97
5*$1.29=$6.45
3 albums would cost $29.97, and 5 individual songs would cost $6.45.
3 albums would cost $29.97, and 5 individual songs would cost $6.45.
For your birthday you get an i‐Tunes gift card. The total cost for you to buy 3 albums at $9.99 each and then 5 individual songs each worth $1.29 is given by the expression 3(9.99) + 5(1.29).
What is Equation?
Two expressions with an equal sign is called as equation.
Through given data we construct equations,
3 albums at $9.99 is given by
3*$9.99=$29.97
5 individual songs each worth $1.29
5*$1.29=$6.45
Total cost for you to buy 3 albums at $9.99 each and then 5 individual songs each worth $1.29 is given by the expression.
3(9.99) + 5(1.29).
=29.97+6.45
=36.42
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For this function, the average rate of change __ as x increases.
Answer:
increases
Step-by-step explanation:
edg 2020
Answer:
increases
Step-by-step explanation:
what is the measure of
Answer:
(A) 20 degrees
Step-by-step explanation:
Inside the (G) angle is writen (2x + 10)
2 X 10 = 20
Customers can pick their own apples at the Happy Apple Farm. They pay $5
to enter the farm and S2.50 per pound for the apples they pick. Write an
equation to model the total cost, y, for x pounds of apples.
O A. y = 5x + 25
B. y = x(2.5 + 5)
c. y = 2.5x + 5
O D. y = 2.5(x + 5)
Answer: C
Step-by-step explanation:
For this problem, we know that customers already have to pay $5 just to enter the farm. The $5 is basically a flat fee. Our equation would be:
y=5+____
Now, we know that the apples cost $2.50 per pound. Our final equaiton would be:
y=5+2.5x
Which excerpt from the passage best states the authors'
claim?
11
"Slave owners fought back, arguing that owners should
be able to list their slaves as property...
"All men are equal,' he insisted in 1716—exactly sixty
years before the Declaration of Independence."
"Why did people keep speaking of equality while
profiting from slaves?"
"Following the strand of sugar and slavery leads directly
into the tumult of the Age of Revolutions."
Answer:
D - "Following the strand of sugar and slavery leads directly
into the tumult of the Age of Revolutions."
Step-by-step explanation:
Answer:
D - "Following the strand of sugar and slavery leads directly
into the tumult of the Age of Revolutions."
Step-by-step explanation:
You are starving after class and go to the kitchen to make a sandwich. You look in the refrigerator and you see you have white bread, rye bread and whole wheat bread, as well as turkey and ham lunch meat, and Swiss cheese, American cheese and Cheddar cheese. How many different possible sandwich combinations can you make
A)16
B)12
C)36
D)18
Step-by-step explanation:
Assuming we use only one kind of bread, meat and cheese, we have 3, 2, and 3 options for them respectively. Therefore, the total amount of sandwiches we can make is 3 * 2 * 3 = 18.
20 POINTS PLEASE HELP ASAP I ONLY HAVE TELL 12 AM (oregon time too tired to remember what time zone bc i pulled a all nighter last night lolz)
Answer:
x=114
Step-by-step explanation:
opposite angles are equal
Answer:
114°
Step-by-step explanation:
114° is opposite to x
opposite angles are equal
x=114°
the other one is 66°,because straight lines add upto 180°, hence 180-114=66°
Allen Tennis Inc. pays its employees on a piece-rate basis of $0.25 for each tennis ball they produced. Boris Becker produced 2,664 Tennis balls. What was his gross pay?
Answer:
$666
Step-by-step explanation:
I think you just need to do 2664×0.25 ( which you can do it on a calculator ) , is
$666
Answer:
666
Step-by-step explanation:
Because u multiply 2664 by .25
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
A. It is the graph of y= x translated 13 units up.
OB.
It is the graph of y = x translated 13 units to the right.
C.
It is the graph of y= x translated 13 units to the left.
• D. It is the graph of y = x where the slope is decreased by 13.
Answer:
D
Step-by-step explanation:
Refer to picture.
When graph of y = x is transformed to y = x - 13,
U can visualise it by drawing the before and after transformed graphs to compare in order to deduce the answer.
From the picture, you will realise that when x is unchanged, I'm this case I'm using points x=0 and x=13, the value of the y coordinate in the transformed graph (y = x-13) actually decreased by 13 units as compared to the original graph of y=x.
Hence the graph actually got translated 13 units in the direction of negative y axis which is option D
As per the translation of a graph, the given graph y= x is translated 13 units to the right.
What is the translation of a graph?"The translation of a graph is its rigid movement, vertically or horizontally."
The given equation of the graph is: y = x.
The equation of the translated graph is: y = x - 13.
We know, the translation of a graph from y = f(x) to y = f(x - a) is translating the graph to the right by 'a' units.
Therefore, the given graph y= x is translated 13 units to the right.
Learn more about the translation of a graph here: https://brainly.com/question/21280965
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15 POINTS!!!ASAP!!!HELP!!!!!! I WILl MARK THE BRANLIEST!!!The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect print. Write an equation that describes the relationship.
Answer:
y = 2/3x
Step-by-step explanation:
The first step is to find the slope
Pick two points on the line (0,0) and (3,2)
m = (y2-y1)/(x2-x1)
= (2-0)/(3-0)
= 2/3
The y intercept is 0
Using the slope intercept form
y =mx+b where m is the slope and b is the y intercept
y = 2/3 x +0
y = 2/3x
Answer:
1/3x
Step-by-step explanation:
trust me
Question 4 (1 point)
What is the asymptote of the exponential function y=4"?
x=0
x=4
y=0
y=4
Answer:
(C)y=0
Step-by-step explanation:
An exponential function of the form [tex]f(x) = a (b^x) + c[/tex] always has a horizontal asymptote at y = c.
Given our function [tex]y=4^x[/tex]
Comparing with the form, [tex]f(x) = a (b^x) + c[/tex], we observe that c=0.
Therefore, the exponential function has an asymptote at y=0.
The correct option is C.
Which of these tables represents a function?
Answer:
The answer would be B
Step-by-step explanation:
x-1=y
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $4.50 and each adult ticket sells for $8. The auditorium
can hold no more than 84 people. The drama club must make at least $560 from
ticket sales to cover the show's costs. If 29 student tickets were sold, determine all
possible values for the number of adult tickets that the drama club must sell in order
to meet the show's expenses. Your answer should be a comma separated list of values.
If there are no possible solutions, submit an empty answer.
Answer:
The minimum number of adult tickets required to be sold = 54
Step-by-step explanation:
Hello,
In this question, we have several variables which might confuse us here, so I'll have to break it down bit by bit.
The drama club must make a sale of $560 so as to cover cost for the event.
The seat capacity of the hall = 84
Cost of tickets for adult = $8
Cost of tickets for students = $4.50
Total number of students sold = 29
Let the number of adult ticket required = x.
(4.50 × 29) + (8 × x) = 560
130.5 + 8x = 560
8x = 560 - 130.5
8x = 429.5
Divide both sides by 8
X = 429.5 / 8
X = 53.6 approximately 54.
Minimum required number of adult tickets to be sold is 54.
(29 × 4.50) + (54 × 8) = $130.5 + $432 = $562.5
Answer:
{54,55}
Step-by-step explanation:
just had that problem and showed me the answer
I don’t get this and I need to pass it please help!!!
Answer:
Choice A x= 16, y= 9√2
Step-by-step explanation:
x= 9+7 =16
y= √9²*2= 9√2
Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9
Answer:
x = -3 and y = -4
x + y = -3-4 = -7
Step-by-step explanation:
-4x + 9y = -11 ------------------------------------------------------------------------(1)
-3x + 7y = -9--------------------------------------------------------------------------(2)
multiply through equation (1) by 3 and multiply through equation(2) by 4
-12x + 27y = -33 -----------------------------------------------------------------------(3)
-12x + 28y = -36 ----------------------------------------------------------------------(4)
subtract equation (1) from equation (2)
y = -3
substitute y = -3 into equation (2)
-3x + 7(-3) = -9
-3x -21 = -9
add 21 to both-side of the equation
-3x -21 + 21 = -9 + 21
-3x = 12
divide both-side of the equation by -3
-3x/-3 = 12/-3
x = -4
x = -3 and y = -4
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Which equation correctly demonstrates the distributive property?
A. 6(4 - 3w) = 24 - 3w B. 6(4 - 3w) = 24 + 3w
C. 6(4 - 3w) = 24 + 18w D. 6(4 - 3w) = 24 - 18w
We need to use this formula:
a(b+c)=ab+ac
[tex]6(4-3w)=6\times4-6\times3w=24-18w[/tex]
Answer: D
Answer:
D will be your answer!
Step-by-step explanation:
I hope this helps!
Plz help I will mark u brainiest
Answer:
28
Step-by-step explanation:
It is 28 because if you have a graphing table make sure to mark (2,0) and (6,0) first and then mark the seven, after you mark the seven mark (2,7) and (6,7)
15 POINTS BRAINLIEST Calculate the coefficient of x2y6 in the expansion of (x + y)8.
15
56
28
12
Answer:
28
Step-by-step explanation:
Consider the expansion:
[tex]$(x+y)^2=\sum_{k=0}^{n} \binom{n}{k}y^{n-k}x^k$$[/tex]
[tex]$ \binom{n}{k}=\frac{n!}{(n-k)!k!}[/tex]
We have
[tex]$\left(x + y\right)^{8}=\sum_{k=0}^{8} \binom{8}{k} \left(y\right)^{8-k} \left(x\right)^k[/tex]
I'm sorry but I will not write and solve everything, typing LaTeX takes time. But that's the idea:
For [tex]k=0[/tex]
[tex]$\binom{8}{0} \left(y\right)^{8-0} \left(x\right)^{0}=\frac{8!}{(8-0)! 0!}\left(y\right)^{8} \left(x\right)^{0}=y^{8}[/tex]
For [tex]k=2[/tex]
[tex]$\binom{8}{2} \left(y\right)^{8-2} \left(x\right)^{2}=\frac{8!}{(8-2)! 2!}\left(y\right)^{6} \left(x\right)^{2}=28 x^{2} y^{6}[/tex]
[tex](x+y)^8={x}^{8} + 8{x}^{7}y + 28{x}^{6}{y}^{2} + 56{x}^{5}{y}^{3} + 70{x}^{4}{y}^{4} + 56{x}^{3}{y}^{5} + 28{x}^{2}{y}^{6} + 8x{y}^{7} + {y}^{8}[/tex]
A swimming pool is 14 yards long and 6 yards wide.
Part A
Which equation can you use to find the area of the bottom of the pool?
A. (2 x 14) + (2 x 6) = a
B. 2 x (14 + 6) = a
O C.
C. 14 x 6 = a
D. (2 + 14) x (2 + 6) = a
Answer:
C)
Step-by-step explanation:
Area of bottom of pool = length * width
a = 14 * 6
if 2x/5 = 4 what is x
Answer:
x = 10
Step-by-step explanation:
Given
[tex]\frac{2x}{5}[/tex] = 4 ( multiply both sides by 5 )
2x = 20 ( divide both sides by 2 )
x = 10
Find positive integer x, if 1+2+3 +...+x=120.
Answer:
x = 15
Step-by-step explanation:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 +13 + 14 + 15 = 120
The number x is a positive integer.
Value of positive integer [tex]x[/tex] is equals to [tex]15[/tex].
What is integers?" Integers is defined as collection of whole numbers and negative numbers."
Formula used
Sum of first [tex]'n'[/tex] natural numbers
[tex]S_{n} = \frac{n(n + 1)}{2}[/tex]
According to the question,
Given positive integers,
[tex]1 + 2 + 3 + ......... + x =120[/tex]
Substitute the value in the formula to get sum of positive integers,
[tex]\frac{x(x+ 1)}{2}=120\\\\\implies x^{2} +x =240\\\\\implies x^{2} + x-240 =0\\\\\implies x^{2} +16x-15x -240=0\\\\\implies x (x+16) -15 (x+16) =0\\\\\implies (x+ 16) (x-15) =0\\\\\implies x = -16 or x =15[/tex]
[tex]'x'[/tex] is a positive integer. [tex]x=-16[/tex] is not possible.
Hence, Value of positive integer [tex]x[/tex] is equals to [tex]15[/tex].
Learn more about integers here
https://brainly.com/question/15276410
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I need to solve this problem
Answer:
Step-by-step explanation:
First add 45 and 78 to find the total weight in grams.
45 + 78 = 123
Then find the weights that will work 1 100, 2 10, 3 1,
Jason and his brother each have the equal probability of being randomly selected to wash dishes after dinner. Jason wants to simulate the probability that more than 4 evenings will go by without him having to wash the dishes after dinner. He decides to conduct a simulation by flipping a quarter, with heads representing an evening where he washes dishes after dinner and tails representing an evening of not doing dishes after dinner. He keeps flipping until he flips heads and records the number of flips that were needed. For example, if two flips are needed to get heads, this indicates that he washes dishes on the second evening. He repeats this 50 times and records the data on the table below Number of flips until getting heads: 1,2,3,4,5,6,7,8 frequency: 21,18,4,4,2,0,0,1 Based on the results of the simulation, what is the probability that more than 4 evenings will go by without Jason having to wash dishes after dinner? [blank] %
Answer:
The probability that more than 4 evenings will go by without Jason having to wash dishes after dinner is 0.06.
Step-by-step explanation:
We are given that Jason wants to simulate the probability that more than 4 evenings will go by without him having to wash the dishes after dinner.
He repeats this 50 times and records the data on the table below;
Number of flips until getting heads Frequency
1 21
2 18
3 4
4 4
5 2
6 0
7 0
8 1
Total 50
Now, we have to find the probability that more than 4 evenings will go by without Jason having to wash dishes after dinner.
This will happen only when the Number of flips until getting heads is 5, 6, 7 or 8 as only then Jason will have more than 4 evenings go by without washing dishes after dinner.
So, required probability = [tex]\frac{2}{50}+\frac{0}{50}+\frac{0}{50}+\frac{1}{50}[/tex]
= [tex]\frac{3}{50}[/tex] = 0.06
What’s the difference between sine and cosine
Answer:
Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .
Step-by-step explanation:
Answer:
A.k.a., sin(total), cos(total) are functions that indicate the direction a triangle is right. Speaking from an angle point, sin(f) is an opposite of a hypotenous ratio, while cos(f) is the equivalent to the hypotenuse ratios
Step-by-step explanation:
Answer is above
Hope this helps.
what is the length of BC?
help asp
Answer:
The answer would be 22.