Answer:
2x + -5+xy+23
Step-by-step explanation:
8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368
The maximum value of the original data set is 109.
To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.
Looking at the stemplot:
O 10 | 0 0 8 9 8 9 0 0 0
0 20 | 5 4 7 9 6
0 30 | 1 4 6 7 7 9 7
0 40 | 0 0 2 5 5 7 7 9 9 8
0 50 | 1 2 2 2 3 4 5 5 7 8 9 9
0 60 | 0 0 0 3 3 3 3 6 8
The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".
Therefore, the maximum value of the original data set is 109.
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The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after 6 seconds can be described by the function#(6) f(theta)= 2cos(theta) + sqrt(3).Part A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. (5 points)Part B: If the angle was doubled, that is theta became 2theta what are the solutions in the interval [0, 211)? How do these compare to the original function? (5 points)Part C: A toddler is jumping on another pogo stick whose length of their spring can be represented by the function g(8) = 1-
A) Let's begin by writing out the equation for the given condition:
\(\begin{gathered} f(\theta)=2\cos(\theta)+\sqrt{3} \\ 2\cos(\theta)+\sqrt{3}=\sqrt{3} \\ 2\cos(\theta)=0 \\ θ=\frac{\pi }{2}+2\pi n,\:θ=\frac{3\pi }{2}+2\pi n \end{gathered}\)Notice that in part A, we're determining all values in which the pogo stick is equal to its non-compressed length.
B) This part consists in solving the following equation:
\(\begin{gathered} 2\cos \left(2θ\right)+\sqrt{3}=0,\:0\le \:θ<2\pi \\ 2\cos \left(2θ\right)+\sqrt{3}-\sqrt{3}=0-\sqrt{3} \\ 2\cos \left(2θ\right)=-\sqrt{3} \\ \frac{2\cos \left(2θ\right)}{2}=\frac{-\sqrt{3}}{2} \\ \cos \left(2θ\right)=-\frac{\sqrt{3}}{2} \\ 2θ=\frac{5\pi }{6}+2\pi n \\ \frac{2θ}{2}=\frac{\frac{5\pi }{6}}{2}+\frac{2\pi n}{2} \\ θ=\frac{5\pi }{12}+\pi n \\ \\ 2θ=\frac{7\pi }{6}+2\pi n \\ \frac{2θ}{2}=\frac{\frac{7\pi }{6}}{2}+\frac{2\pi n}{2} \\ θ=\frac{7\pi }{12}+\pi n \\ \theta=\frac{5\pi}{12},\:θ=\frac{7\pi}{12},\:θ=\frac{17\pi}{12},\:θ=\frac{19\pi}{12} \end{gathered}\)Note that since the pogo has a periodical movement and an interval was defined then the solutions above are defined for the interval.
What’s value of x in 12x-11=2x+5
Answer:
x = 1.6 or \(\frac{8}{5}\)
Step-by-step explanation:
12x - 11 = 2x + 5
Add 11 to both sides,
12x - 11 + 11 = 2x + 5 + 11
12x = 2x + 16
Subtract 2x from both sides,
12x -2x = 2x - 2x + 16
10x = 16
Divide both sides by the same factor (in this cas the factor is 10),
\(\frac{10x}{10} =\frac{16}{10}\)
\(x=\frac{8}{5}\)
x = 1.6 or \(\frac{8}{5}\)
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
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onsider the line =+7x5y−4. Find the equation of the line that is parallel to this line and passes through the point −−4, 5. Find the equation of the line that is perpendicular to this line and passes through the point −−4, 5.
The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is y = -7/5(x) -53/5
How to find the equation of the lines parallel and perpendicular to 7x+5y = 4?Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)
The slope-intercept form of a straight line is:
y = mx + c
where m is the slope and c is the y-intercept
For perpendicular case:
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ x m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
7x+5y = 4 => y = (-7/5)x + 4/5
Thus, m₁ = -7/5
m₁ x m₂ = -1
-7/5 x m₂ = -1
m₂= 5/7
Line 2(unknown) with the point (−4,-5):
y = mx + c
-5 = 5/7 (-4) + c
-5 = -20/7 + c
c = -15/7
Thus, the equation of the line is y = 5/7(x) -15/7
For parallel case:
When the two lines are parallel, they have equal slope i.e. m₁ = m₂
Line1(given):
7x+5y = 4 => y = (-7/5)x + 4/5
Thus, m₁ = -7/5
m₂= -7/5
Line 2(unknown) with the point (−4,-5):
y = mx + c
-5 = -7/5(-4) + c
-5 = 28/5 + c
c = -53/5
Thus, equation of the line is y = -7/5(x) -53/5
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at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of levi jeans with an original price of x?
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
\(Price=x-40\%\text{ of }x\)
\(Price=x-\dfrac{40}{100}x\)
\(Price=x-0.4x\)
\(Price=0.6x\)
The price after 7% of sales tax.
\(Price=0.6x+7\%\text{ of }0.6x\)
\(Price=0.6x+\dfrac{7}{100}\times 0.6x\)
\(Price=0.6x+0.042x\)
\(Price=0.642x\)
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
can you guys answer this ?
Answer:
-7
...................
1. Solve the system and find the solution.*
3x + 4y= 4
y = 3x - 14
What is 11 divided by 1/4
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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PLS HELP ME ASAP 30 POINTS!!!!!
Answer:
do u still need help?
Step-by-step explanation:
Find the area of sector RST Enter your answer in terms of a fraction of it and rounded to the nearest
hundredth.
Fort nite battle pass is 8 dollars
PLEASE HELP ILL MAKE BRAINLIEST ASAP
The amount of money in a bank account increased by 18.5% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase? Select all that apply.
A
n + 0.185n
B
n + 18.5n
C
1.185n
D
0.185n
E
18.5n
F
19.5n
Answer:
A
Step-by-step explanation:
What are the new vertices of quadrilateral ABCD if the quadrilateral is reflected across the x-axis? A. A = (-4,-5), B' = (2,-5), C = (5,-1), D' = (-2,-1) B. A = (-5,-4), B' = (-5,2), C' = (–1,5), D' = (-1,-2) C. A = (4,-5), B' = (-2,-5), C' = (-5,–1), D' = (2,-1) D. A' = (4,5), B' = (-2,5), C = (-5,1), D' = (2,1)
A)
A'=(-4,-5)
B'=(2,-5)
C'=(5,-1)
D=(-2,-1)
Explanation
Step 1
when you have a reflection across the x -axis use the proper rule:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same
\((x,y)\Rightarrow reflection\text{ across x-a}\xi s\Rightarrow(x,-y)\)Let
A=(-4,5)
B=(2,5)
C=(5,1)
D=(-2,1)
Now, apply( change the sign in y coordinate)
A'=(-4,-5)
B'=(2,-5)
C'=(5,-1)
D'=(-2,-1)
graph:
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MARS On Mars, the gravity acting on an object is less than that on Earth. On Earth, a golf ball hit with an initial upward velocity of 26 meters per second will hit the ground in about 5.4 seconds. The height h of an object on Mars that leaves the ground with an initial velocity of 26 meters per second is given by the equation h=−1.9t2+26t
. How much longer will it take for the golf ball hit on Mars to reach the ground? What is the maximum height of the golf ball on Mars? Round your answer to the nearest tenth.
It takes about
seconds longer for the golf ball hit on Mars to reach the ground.
The maximum height of the golf ball on Mars is about
meters.
The maximum height of the golf ball on Mars is about 48.8 meters.
To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:
0 = -1.9t² + 26t
Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.
To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.
In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:
= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters
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Look on my last post giving 70 points for one math problem if u answer I will rate u brainiest on this question and on that one
Answer:
did it
Step-by-step explanation:
Glados
spent the day at the mall, First, she bought
three bikes for $10 each. Later, she found 22
dollar bills. Write the total change
an integer.
to Glado's
funds as an integer ?
Answer:
3(10)+30
(-30) (the amount she lost) +22 (the amount she gained)= -8
Glados lost 8 dollars while at the mall.
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Which sum or difference is modeled by the algebra tiles?
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
what is expression ?It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2
Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6
Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2
Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4
= 2x2 + 2x + 2
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
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The complete question is:-
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2
B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2
C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2
D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2
An 8-sided number cube is rolled 4000 times. The number 2 appeared 200 times. Determine the theoretical and experimental probability of rolling a 2 in order to determine the fairness of the number cube. Drag values or words to the boxes to correctly complete the statements.
Theoretical Probability of rolling a 2= 1/20
Experimental Probability of rolling a 2 = 1/20
Theoretical probability of rolling a 2:
The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:
Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20
Experimental probability of rolling a 2:
The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the event is rolling a 2, which occurred 200 times out of 4000 rolls.
Therefore, the experimental probability of rolling a 2 is:
Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20
Comparing theoretical and experimental probability:
If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.
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i need help!!!! does anyone know this..!!???
The period of oscillation is 3 seconds
What is period of oscillation?A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.
The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds
Oscillation can also be vibration or revolution or cycle.
Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.
This means that the period of the particle is 3 seconds.
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Michael owns dogs, hamsters and fish in the ratio 2:3:6
If he has 6 hamsters, how many pets does he have?
Answer:
11
Step-by-step explanation:
I think you just add the ratios together.
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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60 - 3d + 20 - 6 = 4d
what is the length of each side ? help please
Lengths are 11cm , 13cm , 16cm , 12cm
Step-by-step explanation:
Perimeter = Sum of measure of all the sides of quadrilateral.
In the question , perimeter = 52 cm
So,
\(x + (x + 2) + 2(x - 3) + (x + 1) = 52\)
\( = > x + x + 2 + 2x - 6 + x + 1 = 52\)
\( = > 5x - 3 = 52\)
\( = > 5x = 52 + 3 = 55\)
\( = > x = \frac{55}{5} = 11\)
6) When a proportional relationship is graphed on a coordinate plane, it
passes through the point (5, 1). What is the corresponding unit rate?
Answer:
5
Step-by-step explanation:
Use the function f(x) = 2x²-3x - 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
The equation be 2x² - 3x - 5 then the value of x = -1.
Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.
How to simplify the value of x?Part A: Let f(x) = 0 and solve for x to get the x-intercepts.
Given the function 2x²-3x - 5 = 0
Factor to get (2x - 5) (x + 1) = 0
then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1
These are the x-intercepts.
Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)
where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.
In this case a = 2, b = -3 and c = -5.
So -b/2a = 3 / 4
f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.
The coordinates of the vertex exist (3/4, -6.125)
Part C: I will give them a minimum from completing the square
y = \($$2(x - 0.75)^2\) - 6.125
as x approaches + ∞, y approaches + ∞.
as x approaches - ∞, y approaches + ∞.
It's a quadratic.
The y values go to + ∞ when x goes from - ∞ to + ∞.
Part D: The graph is as follows:
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