Another name for angle XYZ in the figure shown above can be stated as: <Y or angle Y.
How to Name an Angle?An angle is formed by two line segments or rays which meet at a vertex point. Two sides in a shape meet to form an angle.
To name an angle, we can use the three letters that make up the angle whereby the middle letter is the letter of the vertex where the two sides or lines meet.
Alternatively, we can simply name the angle using just the letter of the vertex.
Therefore, another name for angle XYZ is: <Y. This is because Y is the vertex.
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Answer:
Choice 2 its Y
Step-by-step explanation:
You purchase a new jet ski today. The value of that jet ski depreciates based on the function f(t) = 8,500(0.72)t, where t is measured in years after purchase. How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?
We conclude that after 7/4 years the value of the jet ski is $4,784
How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?
The value of the jet ski is given by the exponential equation:
f(t) = 8,500*(0.72)^t
Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:
f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55
If now we need to round it to the nearest dollar, then we round upwards to 4,784
In this way, we conclude that after 7/4 years the value of the jet ski is $4,784
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A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 6.2 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 164 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)?Group of answer choices
Answer:
3.8% , unusual
Step-by-step explanation:
We have that the mean is 175 degrees (m) and the standard deviation is 6.2 degrees (sd), so we are asked:
P (x <164)
P ((x - m) / sd <(164 -175) /6.2)
P (z <- 1.77)
If we look in the normal distribution table we have to:
P (x <164) = 0.0384
That is, the probability is 3.8%
Unusual is when the probability is less than 5%, that is to say in this case if it can be said that an unusual data.
If a loading ramp is placed next to a truck, at a height of 8
feet, and the inclined portion of the ramp is 17 feet long, what angle (in degrees) does the ramp make with the ground?
Round your answer to one-tenth of a degree.
The angle that the ramp makes with the ground is approximately 28.07 degrees.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):
Sin(θ) = 8/17
We can use a calculator to find the inverse sin of this ratio to get the angle θ:
θ = sin⁻¹(8/17)
θ ≈ 28.07 degrees
Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.
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Mr. Staten asks his student to name three favorite movies they have seen and wants to use a graphical representation that will allow them to see the overall shape of the data.
Which representation should Mr. Staten consider to best display the data?
Answer:
bar graph
Step-by-step explanation:
math nation
HELP ASAP!!!!!!!!!!!!!!!!!!!!
I think that it might be the third one. I hope this helped
solve the equation x to the power of 2 = 10
Answer:
The answer is √10,−√10 (award brainliest)
Step-by-step explanation:
Take the root of both sides and solve.
Exact Form: x = √10,−√10
Decimal Form: x = 3.16227766...,−3.16227766...
for more detailed explanation comment down below this post and ask
What shape is this cross-section?
A. Rectangle
B. Pyramid
O C. Trapezoid
D. Triangle
If you're referring to the actual 3D shape, that would be a rectangle. If you're referring to the shape in the middle, it would be a Trapezoid.
Answer:
A. Rectangle
Step-by-step explanation:
It is a rectangle, not any of the other shapes listed in the other answer choices.
Hope this helps! :)
The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle
Answer:
2 ( 2y + 5 )
Step-by-step explanation:
→ Take out 2 as a factor
2 ( 2y + 5 )
Answer:
A = 2(2y + 5)2 and 11 (when y = 3)Step-by-step explanation:
The area equation is:
A = lwGiven:
A = 4y + 10This can be factored as:
A = 2(2y + 5)Let y = 3, then the dimensions are:
2 and 2*3 + 5 = 11How many groups of two are in six
Answer:
3 groups
Step-by-step explanation:
6 / 2 = 3 groups
plz mark me brainliest
Answer:3
Step-by-step explanation: 6 divided by 2
Pls help i need to get this done or i will get grounded for a week
Answer: the answer is 3
Step-by-step explanation:
Isolate the x so in other words do the opposite, then you have your answer.
Answer:
D
Step-by-step explanation:
BRUH ALL IT SAYS IS "IT HAS ADDITION" HOW CAN YOU NOT SEE THAT I-
Find the value of X
40°
(12x-8)
please help I have 10 mins left on my test
Answer:
B.4 12x-8 would be 12x_-8=40 this is because 12x-8 is congruent to the 40 degree angle. so what -8 is 40? 48 12x_=48 x=4 12x4=48 48-8 is 40
plz let me know if i am wrong mark brainliest if right
Step-by-step explanation:
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
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Please help! It’s urgent!
Answer:
ΔFGH≅ΔYZX
Step-by-step explanation:
Choose the fraction below that would make the following proportion true. 3/4 = ?/? A 1/2 B 4/5 C 6/8 or D 9/10
Answer:
C
Step-by-step explanation:
3/4 x 2/2= 6/8
6/8 = 6/8
Find the identical expression for the following plz show work
What can you conclude about the population density from table provided
The population density of an area is the number of people living in per unit area. The most populated region is Region A.
What is Population Density?The population density of an area is the number of people living in per unit area. It is given by the formula,
\(\text{Population Density}=\dfrac{\text{Population of the area}}{\text{Total area}}\)
The population density of the different regions is as follows,
Region A = 20,178 person /521 km² = 38.729 person/km²
Region B = 1,200 person /451 km² = 2.66 person/km²
Region C = 13,475person /395 km² = 34.114 person/km²
Region D = 6,980 person /426 km² = 16.385 person/km²
Hence, The most populated region is Region A.
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if e and f are mutually exclusive and p(e)>0 and p(f)>0, which one of the following statements is correct?
Neither statement "E and F are always independent" nor "E and F are always dependent" is correct for mutually exclusive events E and F with positive probabilities p(e)>0 and p(f)>0.
Events that are mutually exclusive cannot occur at the same time. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 2 on a fair die", These events cannot occur simultaneously since a 1 and a 2 cannot be rolled.
In probability theory, two events E and F are considered independent if the occurrence of one event has no effect on the probability of the other event occurring. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 6 on a fair die", these events are independent because the occurrence of one event (rolling a 1) does not affect the probability of the other event (rolling a 6) occurring.
In the case where events E and F are mutually exclusive, their occurrence does affect each other, as the occurrence of one event makes it impossible for the other event to occur. Therefore, the statement "E and F are always independent" is not correct. Similarly, the statement "E and F are always dependent" is also not correct because dependence is a different concept from mutual exclusiveness.
Therefore, "Neither of the above statements is correct" is the appropriate response.
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The complete question is:
Which of the following statements is correct if e and f are mutually exclusive and p(e)>0 and p(f)>0?
a) E and F are always independent
b) E and F are always dependent
c) Neither of the above statement is correct
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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You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.
Answer:
x=\(\frac{1}{2}\) ft
Step-by-step explanation:
Please see the attached image
(5+2x)(3+2x)=24 - solve for x
15+10x+6x+4x^2=24
4x^2+16x+15=24
4x^2+16x-9=0
Use quadratic formula
\(x=\frac{1}{2} , x=-\frac{9}{2}\)
x cannot be negative, so we can rule \(-\frac{9}{2}\) out.
x=\(\frac{1}{2}\) ft.
A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the density of water. Assume r = 6 m and h = 2 m.)
The work required to pump the water out of the spout is 70.9 * 10⁶ joules which is 71 M Joules approx.
Let the spherical tank be divided into a series of horizontal disks.
Let x be the height of each disk, g = gravity and p = density
Volume of each disk = πr2dx
Where r is the radius of each disk and dx is the thickness
By Pythagoras r² = 6² - x²= 36 -x²
Therefore Volume = π*(36-x²)*dx cubic metres
The distance each disk has to be lifted to escape the top of the spout = 2 + 6-x meters = (8-x)
Work needed to lift each disk to outlet = distance * mass where
mass = volume * density * gravity
= pi(36-x²)*p*g = 9800pi(36-x²)dx
dW = (8-x)* 9800pi(36-x²)dx
Since we have already accounted for the height of the spout, the work required is obtained by integrating the above expression from the bottom of the tank to the top. In other words, - 6 to + 6.
W = ⌠(8-x)*9800pi(36-x2)dx = 9800pi⌠[288 - 36x - 8x² +x³]dx
The odd terms evaluate to zero and we can rewrite the above as 2* I from 0 to 6.
W = 9800pi*2 [288x - 8x³/3] at x = 6 = 1152*19600π Joules = 22579200π joules = 70963200j
Total work required = 70.9 * 10⁶ joules
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How is 7/8 expressed as a percent
Answer:
Therefore, 7/8 is equal to 87.5 percentage
Step-by-step explanation: brainliest?
The standard form of rational number of -30/75
The standard form of rational number of -30/75 is -2/5.
The standard form, given is -30/75.
Both numerator and denominator are a multiple of 15,
Hence we divide them by 15,
The result is -2/5 which is its standard form.
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Use the diagrams below to derive the formula for the volume of a hemisphere.
What is the formula for the volume of a hemisphere?
πr3
πr3
πr3
πr3
Answer:
2/3 \(\pi\)r²
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I know x=25° but if someone where to explain it I would be grateful.
Applying corresponding angles, it is found that the measure of x is of x = 12.5º.
What are corresponding angles?When two parallel lines are cut by a transversal, the angles that are in equivalent positions at the intersection of the two lines with the transversal are corresponding angles and have the same measure.
For this problem, the corresponding angles are given as follows:
3x + 15º.5x - 10º, because it is opposite to the same vertex at the intersection of line AB with the transversal, hence the angle at the top right of this intersection is also of 5x - 10º.Since the angles are corresponding, they have the same measure, and the value of x is found as follows:
5x - 10 = 3x + 15
2x = 25
x = 25/2
x = 12.5º.
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A partnership between two companies calls for company A to get a flat fee of $25,000 from Company B each month, plus 15% of all sales for the jointly developed product sold by company B. If Company B sells a total of $1,200,000 of the jointly developed product in the first twelve months, what will be the total amount owed Company A by Company B?
Answer:
no idea what the answer is, good luck!
Step-by-step explanation:
Cameron wants to buy a skateboard. he has $89, Which is $17 more than he needs. Which equation can be used to determine how much the skateboard costs
Answer:
The answer to this question is $72. The equation is x + 17 = 89
Step-by-step explanation:
Equation: x + 17 = 89
Cameron has $89 so 89 would go behind the equal sign.
He has 17 dollars more than he needs. Whenever more is used that usually indicates that it will be a plus sign. So we will do + 17 = 89.
Finally we need to add the x to complete the equation. This will be shown as x + 17 = 89.
If you solve this equation it will equal x = 72.
If this helped you please subscribe to The Game Rater. Thank you.
Answer:
89-17
Step-by-step explanation:
To find how much Cameron’s skateboard costs you need to take away 17 from your starting amount as you have more. Meaning we subtract the 17 to find how much the skateboard costs.
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Which expressions are completely factored?
Select each correct answer.
Responses
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis
30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis
24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
The expressions that are completely factored are:
16a5−20a3=4a3(4a2−5) is correct.12a3+8a=4(3a3+2a) is correct.24a4+18=6(4a4+3) is correct.Why are they considered to be correct?The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.
For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.
Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).
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Answer:
16a^5−20a^3=4a^3(4a^2−5)
and
24a^4+18=6(4a^4+3)
Step-by-step explanation:
8th Grade Math Homework (Please Help)
Looking at these angles, we can see that they are alternate interior angles. Alternate interior angles are congruent. This means that to solve we will simply need to set the given expressions equal to each other and solve for x.
4x - 23 = 3x + 18
x - 23 = 18
x = 41
Answer: x = 41
Hope this helps!