Answer:
D. Sqroot6
Step-by-step explanation:
6 is not a perfect square. So it is a non-repeating decimal that never ends
sqroot6 ~=
2.4494897428...
this is an irrational number.
The rest on the numbers can be written as a ratio:
0.45=45/100=9/20
0.63636363
= 63/99 = 7/11
sqrt25 = 5 = 5/1
that means they are rational.
Solve (X+8)=9 absolute value equation PLEASE HELP
Answer:
x = | 1 |
Step-by-step explanation:
how are u in college doing this???
Answer:
1
Step-by-step explanation:
(x+8)=9
x+8=9
x=9-8
x=1
The diagonal of a TV is 30 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the TV? A. 60 inches by 60,3 inches B. 602 inches by 60 2 inches O C. 15/2 inches by 15/2 inches OD. 15 inches by 15√3 inches
The dimensions of the TV are 15 inches by (√3)*15 inches, so the correct option is D.
How to get the length and the width of the TV?
We can think of this as a right triangle, where the hypotenuse measures 30 inches, and the angles of the triangle are 30°, 60° and 90°.
If we step on the 30° angle, the length will be the opposite cathetus, then we can use the trigonometric relation:
sin(θ) = (opposite cathetus)/(hypotenuse).
Replacing what we know:
sin(30°) = length/30 in
length = sin(30°)*30in = (1/2)*30 in = 15in
And the adjacent cathetus will be the width, then we can use:
cos(θ) = (adjacent cathetus)/(hypotenuse).
Replacing what we know:
cos(30°) = width/(30 in)
width = cos(30°)*30in = (√3/2)*30in = (√3)*15in
Then the dimensions of the TV are 15 inches by (√3)*15 inches, so the correct option is D.
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You are given that cos(A)=−5/13, with A in Quadrant II, and sin(B)=7/25, with B in Quadrant II. Find cos(A+B). Give your answer as a fraction.
The value of cos(A+B) is 36/325.
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
Given:
cos(A)=−5/13
sin(B)=7/25
Now Using identity,
sin²A + cos² A= 1
sin A= √1 - cos² A
sin A = √1- 25/169
sin A= √144/169
sin A= 12/13
Again,
sin²B + cos² B= 1
cos B= √1 - sin² B
cos B = √1- 49/625
cos B= √576/625
cos B= -24/25
Now,
cos (A +B) = cos A cos B - sin A sin B.
= -5/13* (-24/25) - 12/13* 7/25
= 120/325 - 84/325
= 36/325
Hence, the value of cos (A + B) is 36/325.
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THE
^
Solve: x=4+(4x-4)
O
O
O
x = 2
x = 10
x = 2 or x = 10
Ono real solution
DONE
Answer: x=0
Step-by-step explanation:
[tex]x=4+(4x-4)\\\\x=4+4x-4\\\\x=4x\\\\3x=0\\\\\boxed{x=0}[/tex]
The solution to the equation x = 4 + (x + 4) is 0.
The correct option is "one real solution".
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Expanding the expression on the right-hand side, we have:
x = 4 + (4x - 4)
x = 4x
Subtracting 4x from both sides, we get:
x - 4x = 0
-3x = 0
Dividing both sides by -3, we get:
x = 0
Therefore, there is one solution to the equation x = 4 + (4x - 4) as the equation simplifies to 0.
So the correct answer is 0, "one real solution".
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Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k > 0.
Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1.
Answer:
Perimeter of rectangle2 = k × perimeter of rectangle 1
area of rectangle 2 = k² × area of rectangle 1
Step-by-step explanation:
• rectangle 1 :
Length x
Width y
perimeter1 = 2×(x + y)
area1 = x × y
……………………
•• rectangle 2 :
Length kx
Width ky
Perimeter2 = 2×(Kx + ky)
area2 = kx × ky
……………………………………………
therefore,
Perimeter of rectangle 2
= 2×(Kx + ky)
= 2×k×(x + y)
= k×2×(x + y)
= k × perimeter of rectangle 1
On the other hand,
area of rectangle 2
= Kx × ky
= k×k×(x × y)
= k²×(x × y)
= k² × area of rectangle 1
7. A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class? Round to nearest whole M&M
Show calculation and answer
The expected number of M&M's in the bag is 308
How to determine the number of blue pieces?The parameters that complete the question are:
Number of blue pieces = 4
Total = 15
From the question, the number of blue pieces is:
Blue = 82
Let the total number of M&M be M.
So, we have:
Blue = Number of blue/Total * M
This gives
82 = 4/15 * M
Multiply both sides by 15/4
15/4 * 82 = M
Evaluate
M = 307.5
Approximate
M = 308
Hence, the expected number of M&M's in the bag is 308
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5
сл
Type the correct answer in each box.
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is
units. The point (-15,
) lies on this circle.
Part 1: Finding radius
The radius of a circle is defined as the distance from the center to a point on the circle's circumference.
Using the distance formula,
[tex]r=\sqrt{(-7-8)^{2}+(-1-7)^{2}}=\boxed{17}[/tex]
Part 2: Finding the point with x-coordinate -15
Let the y coordinate of the point be y. Then, we have the point (-15, y). Substituting into the distance formula,
[tex]\sqrt{(-15-(-7))^{2}+(-1-y)^{2}}=17\\\\64+(-1-y)^{2}=289\\\\(-1-y)^{2}=225\\\\-1-y =\om 15\\\\y=\boxed{-16, 14}[/tex]
f(x)=x^2. which of these is g(x)?
Answer:
According to the graph, g(x) is stretched by what seems to be 5, so g(x) is (x^2) / 25. (Square the stretching/compressing factor so 5^2 became 25). We also divide x^2 by this because it is being stretched. You multiply if it's being compressed.
You can check this by plugging 5 for x and trying to get 1.
g(x) = x^2 / 25
g(5) = 5^2 / 25 --> 25/25
g(5) = 1
g(x) = (x^2)/25
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°. What is the approximate length of the radius of the circle?
The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
Length of the arc of a circle:
s = 7.34 units
The measure of central angle:
θ = 81 degrees = 1.413 radians
s = rθ
r is the radius of the circle
7.34 = r(1.413)
r = 5.19 ≈ 5.2 units
Thus, the radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
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Answer:
The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°
Step-by-step explanation:
Given any two events, E, and E₂, what does the probability P(E, U E₂) represent?
Answer:
P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)
Step-by-step explanation:
As we know that, if A and B are two events then
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)
50% of 42 students are girls. How many of the students are girl's
Answer:
21 girls.
Step-by-step explanation:
50% of 42 students are girls.
So 42/2 = 21.
Therefore 21 of the students are girls.
Hope I helped
What are the zeros of the quadratic function f(x)=6x^2+12x-7?
The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.
What is a quadratic function ?The quadratic function is given as ax² + bx + c = f(x).
For finding the zeroes of the polynomial we have to find the roots of the polynomial , The value of f(x) = 0
The given function is f(x) = 6x² + 12x – 7
Then the zeroes of the quadratic function will be
[tex]roots = \dfrac {-b \pm \sqrt{b^2 -4ac}}{2a}\\\\[/tex]
Here a =6 , b = 12 ,c = -7
Therefore the zeroes are
[tex]\rm roots = \dfrac {-12 \pm \sqrt{12^2 -4 * 6 * (-7)}}{2 *6}\\\\[/tex]
[tex]\rm root_1 = -1 + \sqrt{\dfrac {13}{6}}\\\\\rm root_2 = -1 - \sqrt{\dfrac {13}{6}}[/tex]
Therefore the correct option is A.
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A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything, he needs to know the height of the tree. He measures his distance from the tree at 13 meters and the angle of elevation to the tree at 53°. What is the height of the tree to the nearest tenth of a meter
The height of the tree to the nearest tenth of a meter is 73.7m
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
Given:
base = 13 m
angle of elevation = 53
Using trigonometry
tan 53 = P/B
5.671 = P/ 13
P= 5.671 * 13
P= 73.723
Hence, the height of the tree is 73.7 m.
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ary
S
Homework: Homework Chapter
7 Section C
h
In a large casino, the house wins on its blackjack tables with a probability of 50.4%. All bets at blackjack are 1 to 1, which means that if you win, you gain the amount
you bet, and if you lose, you lose the amount you bet
a. If you bet $1 on each hand, what is the expected value to you of a single game? What is the house edge?
a. The expected value to you of a single game is $ -0.008
(Type an integer or a decimal)
The house edge is $ 0.008
(Type an integer or a decimal)
b. If you played 150 games of blackjack in an evening, betting $1 on each hand, how much should you expect to win or lose?
c. If you played 150 games of blackjack in an evening, betting $5 on each hand, how much should you expect to win or lose?
d. If patrons bet $4,000,000 on blackjack in one evening, how much should the casino expect to earn?
b. You should expect to lose $1.2
(Type an integer or a decimal)
c. You should expect to lose $6.00
(Type an integer or a decimal.)
d. The casino should expect to earn $ 32,000
ere to search
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Question 3, 7.C.31
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HW Score: 52.98%, 2.12 of 4
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6/28/2022
Answer:
the answer is D
Step-by-step explanation:
can i charge my hp laptop more than 1000 times
3+7=6-|-x|
Solve for x.
Thanks :)
Answer:
no solution
Step-by-step explanation:
| | is a notation for absolute value, which is the distance that a number is from 0.
you can think of this as the "positive version" of a number
so, |-x| will become: x
We can plug this into the equation, and solve like we would for any variable
3 + 7 = 6 - |-x| {simplify}
3 + 7 = 6 - x {simplify}
10 = 6 - x
Now, we can isolate x (isolate = get it alone)
10 = 6 - x
-6 - 6 {subtract 6 from both sides}
4 = -x {multiply both sides by -1 to get positive x}
·-1 ·-1
- 4 = x
{check solution:}
3 + 7 = 6 - | -4 |
10 = 6 - 4
10 = 2
FALSE
because this solution has been found to be false, there is no possible value for x
we write this as: no solution
[tex]3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset[/tex]
6. Five years ago, Ross was N times as old as
Amanda was. If Amanda is now 19 years old,
how old is Ross now in terms of N?
Answer:
14N+5
Step-by-step explanation:
Five years ago; Rose Nx
Amanda x
Now; Rose Nx+5
Amanda x+5=19
x=19-5=14years
Rose(NOW) =14N+5
Urgent please help!!!!!!!!!!
—————————-
What is the solution to system of equations question?
Answer:
The correct answer is B, the second option
Step-by-step explanation:
(-2, 5/3)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
urgent help needed algebra 2
The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is;
(x + 5) - ( 2x - 3) = 6
To solve;
(x + 5) - ( 2x - 3) = 6
Distribute the negative;
(x + 5) - 2x + 3 = 6
we need to get the like terms together;
x - 2x + 5+ 3 = 6
-x + 8 = 6
Subtract 8 from both sides, we get;
-x = -2
x = 2
Hence, the solution of the given equation is 2.
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5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.
The sign of the leading coefficient can be found using the graph of a polynomial function.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have given the graph of polynomial functions:
In the first graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Degree of a function = 3
In the second graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → -∞
Degree of a function = 4
In the third graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → ∞
Degree of a function = 4
In the fourth graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → ∞
Degree of a function = 3
Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.
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is JH is the perpendicular bisector of GI what is GH?
Answer:
GH=12
Step-by-step explanation:
Definition of a perpendicular Bisector: a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.
Therefore it divides the line GI into two equal parts. That means that GH=HI and it was given that HI=12.
Catalina and Morgan are finding the length of the third side of the right triangle. Who is correct? Explain your reasoning.
Answer:
Morgan
Step-by-step explanation:
because the pythagoras theorem is
H
[tex] {h1}^{2} = {b}^{2} + {h2}^{2} [/tex]
where h1=hypotenuse
h2=height
b=base
Find f(g(x)) for the functions f(x)=5sqrt(x+1)-2 and g(x)=x^2-1
The value of the composite function f(g(x)) is 5x + 2
Composite functionsComposite functions are functions inside another function. Given the following functions:
f(x) = 5√x+1 - 2
g(x) = x² - 1
Determine the composite function f(g(x))
f(g(x)) = f(x² - 1)
f(x² - 1) = 5√x² - 1+1 - 2
f(x² - 1) = 5√x² + 2
f(x² - 1) = 5x + 2
Hence the value of the composite function f(g(x)) is 5x + 2
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled. help me
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
the slope is always the ratio of
y coordinate change / x coordinate change
in our case, x is the time (minutes), and y is the water height (inches).
we see, the longer the pool get filled, the higher the water gets. logical, right ?
by checking the data points we see :
with every 2 minutes passing the water height increases by 4 inches.
so, the slope is +4/+2 = 2/1 = 2
and that ratio tells us now the increase of the water height with every fraction or multiple of the measured 2-minute interval.
every 2 minutes 4 inches more.
so, e.g. every 3×2 = 6 minutes we get 3×4 = 12 inches more.
and - every 1/2 × 2 = 1 minute more we get 1/2 × 4 = 2 inches more.
Shawn is collecting money from students at his school for a charity. The table gives the ratios of the number of students who have donated and the amount of money he has collected from them. Complete the table to form equivalent ratios.
In order of blank boxes going from left to right then down will be 1, 9, 5, 75, 35.
The missing table is given below.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Shawn is collecting money from students at his school for a charity.
The table gives the ratios of the number of students who have donated and the amount of money he has collected from them.
Since 30 is 1/3 of 90, we know the ratio is 1:3.
In order of blank boxes going from left to right then down
1, 9, 5, 75, 35
The complete table is attached below.
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Evaluate and simplify the expression when a=4 and b=-1 5 - 2(a + 3b)/2
Answer:
4
Step-by-step explanation:
We know that [tex]a = 4[/tex] and [tex]b = -1[/tex], as they are given in the problem. All we have to do is plug them into the equation and solve it.
[tex]5 - 2(a + 3b)/2\\ = 5 - 2(4 -3)/2\\= 5 - 1\\= 4[/tex]
[15 PTS] PLS HELP!!!
What is the end behavior of the function?
The correct answer is the fourth option.
Find the domain and range of the following graph
Write your answer as an interval.
Answer:
Domain: [1, infinity)
Range: All real numbers or (- infinity, + infinity)
Step-by-step explanation:
Hope this helps
Evaluating a piece-wise function. 10 pts
Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation? On a coordinate plane, rectangle L M N P has points (negative 2, 5), (1, 5), (1, 4), (negative 2, 4). Rectangle L prime M prime N prime P prime has points (2, negative 5), (negative 1, negative 5), (negative 1, negative 4), (2, negative 4).
Answer: 180 degrees
Step-by-step explanation:
A rotation of 180 degrees about the origin maps [tex](x,y) \longrightarrow (-x, -y)[/tex].
Answer:
180
Step-by-step explanation:
took the test