Answer:
Step-by-step explanation:
Expanding the right-hand side,
[tex](a-b)(a^{2}+ab+b^{2})=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}=a^{3}-b^{3}[/tex]
Thus, the identity is true.
A student is trying to solve the system of two equations given below:
Equation P: x+y=8
Equation Q: 2x + 5y = 24
Which of the following steps can be used to eliminate the x term?
02(x+y=8)
O-2(x+y=8)
O-1(2x + 5y = 24)
O-2(2x + 5y = 24)
Step-by-step explanation:
as the following pic answer should be × -2
Answer:
O -2(x+y=8)
Step-by-step explanation:
If you put the problems beside each other, they look like this;
2x + 5y = 24
x + y = 8
So you are trying to find a way to simplify the x's
Step 1;
See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.
In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0
Step 2:
if you multiply, you have to do it to the entire problem;
-2(x + y = 8) (-2 times x, -2 times y, -2 times 8)
-2x + -2y = -16
Step 3:
Go back to your original problem and work it out;
2x + 5y = 24
-2x + -2y = -16
2x and -2x cancel each other out so now you only have;
5y = 24
-2y = -16
Step 4:
Combine like terms;
5y = 24
-2y = -16
3y = 8
Divide by 3
y = 2.6
On Monday, a packaging company put together 450x packages of 45 cashews. On Tuesday, the company put together 175 less packages with 15x more cashews in each bag. Which of the following equations could be used to determine how many cashews were packaged on Tuesday?
Answer:
275x packages of 720 cashews
Step-by-step explanation:
450-175=275
(a+1)b
a=15 and b=45
(15 + 1) x 45 = 720
Please help, performance task: trigonometric identities
The answers are given below:
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
1. (cos x. cos y)(tan x + tan y) = sin (x+ y)
(cos x. cos y)(tan x + tan y)
= cos x. cos y (sinx/ cos x + sin y/ cos y)
= sin x cos y + sin y cos x
= sin (x+ y) [ sin ( x +y)]= sin x cos y + sin y cos x
= RHS
3. [tex]-\sin ^2\left(x\right)-\cos \left(2x\right)=0[/tex]
Using identity
[tex]-\cos ^2\left(x\right)=0[/tex]
cos ² x=0
Applying [tex]x^{n} =0[/tex] then x=0
So, cos x =0
General solution will be [tex]x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
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analyze the following budget,with an income of $600,to determine how much can be spent on food for the month
Answer:
C: 80
Step-by-step explanation:
Take 600, and subtract it by the values of 200, 95, 65, and 160.
You get $80 left.
Hope this helps!
Find the measure of Angles A and B and the length of BC?
Answer:
dummy its 23 bc angel A
Step-by-step explanation:
WRITE iT dOwN nOW dUmMy
Complete the proof that ∠PST≅∠QRT.
S
P
Q
R
T
Answer: Transitive property of congruence
Answer:
5. Substitution
6. Substitution
Step-by-step explanation:
The properties of congruence generally match those of equality;
A ≅ A . . . . reflexive property
A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property
A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution
__
In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.
Before opening night, the cast of Wicked put on a matinee and evening dress rehearsal at the Gershwin Theatre. At the Saturday matinee, 350 people attended the show. For the Saturday evening performance, 40% more people attended the performance. If the average cost of tickets was $182, how much money did the Gershwin Theatre collect from ticket sales of the Saturday performance?
The Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
At the Saturday matinee, 350 people attended the show.
The total number of people who watched the show on Saturday = 350
For the Saturday evening performance, 40% more people attended the performance.
350 x 40%
= 350 x 0.4
= 140
Total people will be = 350 + 140 = 490
If the average cost of tickets was $182
For 490 people = 490 x 182 = $89180
Hence, the Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
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What is the aquare root of 0.00053361
Step-by-step explanation:
no calculator ? or what is the problem ?
I had to use the calculator too.
so, the square root of 0.00053361 is 0.0231.
Hey I need to point of rotation for this question. Need the answer asap :)
Answer:
see explanation
Step-by-step explanation:
the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Answer:
Below
Step-by-step explanation:
the vertices of S under the translation are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Explain some acceptable reasons for proofs?
Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.
What’s not located on a coordinate plane?
Answer:
umm a plane that's all.
dangit and I don't know
f(x) = x^2 + 5x - 1 is shifted 3 units left the result is g(x). What is g(x)?
Answer:
A. g(x)=x^2+5x+2
Step-by-step explanation:
f(x) = x^2 + 5x - 1 Shift 3 units to the left. k=3
g(x)=x^2+5x-1+3=x^2+5x+2
g(x)=x^2+5x+2
Hope this helps!
If not, I am sorry.
Could someone help me with this question real quick?
Answer:
Width is 46 meter
Length is 86 meter
Given:
width = wlength = (w + 40)Formula:
Area of rectangle = Length × WidthTrial and improvement:
1st try with w = 50
w(w + 40) = 4000
50(50 + 40) = 4000
4500 ≠ 4000
Value too high.
2nd try with w = 45
w(w + 40) = 4000
45(45 + 40) = 4000
3825 ≠ 4000
Value too small
3rd try with w = 46
w(w + 40) = 4000
46(46 + 40) = 4000
3956 ≠ 4000
This value is somewhat near to the area value.
It is found that width = 46 m then length = (w + 40) = (46 + 40) = 86 m
How do I even figure this out??
The value of a is 1/64.
The rules of the exponent are
(a) [tex]a^m*a^n=a^{m+n[/tex]
(b)[tex]a^m/a^n=a^{m-n[/tex]
(c)[tex](a^b)^c=a^{bc}[/tex]
(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]
(e) a⁻ⁿ=1/aⁿ
From the table it is clear that
By the rule of the exponent a⁻ⁿ=1/aⁿ
where a=2
2⁻¹ = 1/2¹ = 1/2
2⁻² =1/2² =1/4
2⁻³ =1/2³ =1/8
2⁻⁴ =1/2⁴ =1/16
2⁻⁵ =1/2⁵ =1/32
So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.
From the above, it is clear that 2⁻ⁿ =1/2ⁿ
using the above formula
2⁻⁶= 1/2⁶ =1/64= a
Therefore the value of a is 1/64.
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The density of copper is 8.94 g/cm^3. What is the mass of a rectangular sheet of copper: 10 cm wide, 45 cm long, and 0.2 cm thick?
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
Yes, the distance from (-2, 0) to (1, √7) is 4 units.
How to Interpret the Equation of a Circle?
We know that the general form of equation of the circle is given by;
(x - h)² + (y - k)² = r²
where;
(h, k) is the coordinate of the center
r is the radius
From the attached image, the radius is equal to the distance between the center and the point (-2,4). Thus, r = 4 and so we have;
(x + 2)² + (y - 0)² = 4²
(x + 2)² + y² = 16
If the distance between the center and the point is equal to the radius of the circle , then the point lies on the circle and the formula to calculate the distance between two points is;
d = √[(y₂ - y₁)² + (x₂ - x₁)²]
At A(-2, 0) and B(1, √7), we have;
d = √[(√7 - 0)² + (1 - (-2))²]
d = 4 units
Therefore we can conclude that the distance from (-2, 0) to (1, √7) is 4 units.
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I'm having trouble with inequalities, any help will be appreciated, thanks.
Answer:
-3/2 ≤ x < 5
Decimal form:
-1.5 ≤ x < 5
(hope this helps)
Margret divides a packet of 20 biscuits among her 8 friends. Find the number of biscuits each friend gets. Express the answer as a rational number
The number of biscuits each friend can get would be 2.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Margret divides a packet of 20 biscuits among her 8 friends.
In order to find the number of biscuits each friend gets.
20 / 8
= 2.5
Hence, the number of biscuits each friend can get would be 2.5.
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Solve the following:
(20 - 5²) (16+2²)
-2³ + (3 x 2²)
Give your answer in simplest form.
Answer:
-96
Step-by-step explanation:
(20-25)(16+4)-8+(3x4)
=(-5)(20)-8+12
=-100-8+12
=-96
−3x−6+(−1) What is it evaluated
Answer:
-3x-7
Step-by-step explanation:
Remember this in mind while solving.
negative + negative = negative.
= −3x−6+(−1)
= -3x-7
Therefore when −3x−6+(−1) is evaluated it is
-3x-7
Hey can I have help on this question with an explanation please :)
Step-by-step explanation:
i hope this is helpful!........
The entire graph of the function h is shown in the figure below.
Write the domain and range of h using interval notation.
Answer:
Step-by-step explanation:
Determine the period.
The period of the graphed function is T = 8.
How to get the period?For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
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Answer:
^ their right :)
Step-by-step explanation:
Its right on Acellus
have a great day!
50 POINTS .....................
The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the picture.
Let's suppose the regression line is:
y = mx + c
Where m is the slope of the regression line and c is the y-intercept of the line.
We can calculate the value of m and c by using the formula.
After calculating, we get:
m = 0.4925
c = -22.26
Mus. Apt. = 0.49253(IQ score) - 22.26
or
Mus. Apt. = -22.26 + 0.4925(IQ score)
Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
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Answer:
The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.
IV. Solve the problem. A lineman divided a 1500 m of wire into 5 parts in the ratio 4: 5:6:7:8. How long is each piece of wire? IV . Solve the problem . A lineman divided a 1500 m of wire into 5 parts in the ratio 4 : 5 : 6 : 7 : 8 . How long is each piece of wire ?
A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,
4x + 5x + 6x + 7x + 8x = 1500m
30x = 1500 m
x = 50 m
Now, the length of the wire will be,
4x = 4(50) = 200m
5x = 5(50) = 250m
6x = 6(50) = 300m
7x = 7(50) = 350 m
8x = 8(50) = 400 m
Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.
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Is there an end to prime numbers?
[tex]\huge\purple{Hi!}[/tex]
Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.
5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.
She can only work at most 15 hours a week. She wants to go on a trip with her friend and needs to
make $95 dollars this week to cover the cost of the trip. Graph a system of linear inequalities that
represents this situation. Using this graph, identify at least one combination of hours that will NOT be a
solution to this system of inequalities.
I
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
How to graph the inequality?Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
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Which figure has two circular faces?
Figure A
O figure A
Ofigure B
figure C
figure D
Figure B
Figure C
Figure D
A cylinder is a 3D shape having two circular faces.
The answer is Figure A
PLEASE HELPPPP
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answer:
3 MonthsStep-by-step explanation:
Please give me Brainliest!
Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?
The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:
[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].What is a system of inequalities?A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.
The variables are given as follows:
Variable x: Number of color copies.Variable y: Number of gray scale copies.She needs to print no fewer than 8 copies, hence:
[tex]x + y \geq 8[/tex].
It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:
[tex]4x + 2y \leq 25[/tex].
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