Answer:
x= 25
y=40
Step-by-step explanation:
the steps are in the photo
25 POINTS!! WILL MARK BRIANLIEST
Answer:
4y = 10 degrees, the answer is 2.5. Otherwise, I have no idea what 4y - 10 degrees equals. 0
Step-by-step explanation:
Use deductive reasoning to show that P=R
Answer:
∠P ≅ ∠R
Step-by-step explanation:
We can see here two triangles , ∆ PQS and ∆ RQS.
To Prove :-
∠P ≅ ∠RWe can prove the given two triangles congruent then we can easily prove it out.
In ∆ PQS and ∆ RQS
PQ = QR ( given )QS = QS ( common)∠PQS = ∠ RQS .Therefore by SAS congruence condition , both triangles are congruent .
Hence ,
∠P ≅ ∠R ( by corresponding parts of congruent ∆s) Hence Proved !Make u the subject of formula in
M=m(v-u).u
Answer:
u = v - 1
Step-by-step explanation:
I'm guessing the formula you've given me is m = m(v - u), and I'm going to solve it that way. If it's actually different, let me know so I can redo the answer! :)
So, we have the equation m = m(v - u) and we're trying to make u the subject, or isolate it on one side of the equation. Right now, it's being subtracted from v and then multiplied by m. Let's start by dividing both sides of the equation by m so we can stop multiplying (v - u) by m.
m = m(v - u)
m/m = m(v-u)/m
1 = v - u
Now, our equation is pretty simple, but our u is still being subtracted from v, so we should add a u to both sides.
1 = v - u
1 + u = v - u + u
1 + u = v
Now, we're adding 1 to u, so let's go ahead and subtract 1 from both sides.
1 + u = v
1 - 1 + u = v - 1
u = v - 1
And we now we have u as the subject of our formula.
Hopefully that was helpful! :)
After 7 days, people saw the video.
Answer:
137,257
Step-by-step explanation:
Answer:
137,527
Step-by-step explanation:
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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What is the definition of a constant term?
Answer: A fixed value.
Step-by-step explanation: In Algebra, a constant is a number is by itself, or sometimes a letter such as a, b or c to stand for a fixed number.
Example: in "x + 5 = 9", 5 and 9 are constants.
a math professor notices that scores from a recent exam are normally distributed with a mean of 73 and a standard deviation of 5. answer the following questions using integer values. (a) what score do 75% of the students exam scores fall below? integer-valued answer: (b) suppose the professor decides to grade on a curve. if the professor wants 2.5% of the students to get an a, what is the minimum score for an a? integer-valued answer:
The score that 75% of the students' exam scores fall below is 0.the 75th percentile is equal to the mean minus 1 standard deviation, or 73 - 5 = 0.
The 75th percentile of a normally distributed set is the point at which 75% of the data falls below that point and 25% of the data falls above that point. In this case, the 75th percentile is equal to the mean minus 1 standard deviation, or 73 - 5 = 0.
Question (b):
The minimum score for an A is -1
The 2.5th percentile of a normally distributed set is the point at which 2.5% of the data falls below that point and 97.5% of the data falls above that point. In this case, the 2.5th percentile is equal to the mean minus 2 standard deviations, or 73 - 2 * 5 = -1.
Here is a more detailed explanation of how to calculate the percentiles in these two questions:
Question (a):
The 75th percentile can be calculated using the following formula:
percentile = mean + (z * standard deviation)
where:
percentile is the desired percentilemean is the mean of the distributionz is the z-score for the desired percentilestandard deviation is the standard deviation of the distributionThe z-score for the 75th percentile is 0.6745. This can be found using a z-table or by using a calculator.
Plugging in the mean and standard deviation, we get the following:
percentile = 73 + (0.6745 * 5)
percentile = 0
Question (b):
The 2.5th percentile can be calculated using the following formula:
percentile = mean - (z * standard deviation)
where:
percentile is the desired percentilemean is the mean of the distributionz is the z-score for the desired percentilestandard deviation is the standard deviation of the distributionThe z-score for the 2.5th percentile is -1.96. This can be found using a z-table or by using a calculator.
Plugging in the mean and standard deviation, we get the following:
percentile = 73 - (-1.96 * 5)
percentile = -1
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− 50 ≤ 7 + 6 ≤ −8 (i need this quick)
Answer:
−50≤7+6≤−8
=0
Angle 0 is in standard position and (5,6) is a point on the terminal side of 0. What is the exact value of cot 0 in simplest form with a rational denominator?
Answer:
5/6
Step-by-step explanation:
\( \cot( \alpha ) = \frac{x}{y} \)
So here x is 5
And y is 6.
\( \cot( \alpha ) = \frac{5}{6} \)
What is 12.1993 rounded to the nearest thousandth
Answer:
12.199
Step-by-step explanation:
Thats what i think it is anyways
Answer:
3266.528 Rounded to the nearest 0.01 or the hundredths place.
14) Adelina is comparing prices for two brands of health and energy bars at the local grocery store.
She wants to get the best price for each bar. Feel Great energy bars are $18 for 12 bars. Super
Power bars cost $21.75 for 15 bars.
a) Write an equation to find the price for each bar of the Feel Great brand.
b) Write an equation to find the price of each bar for the Super Power brand.
c) Which bar should Adelina buy? Explain your reasoning.
The bar which Adelina should buy is super power brand because it cost less than feel great energy bar at $1.45 per bar
Unit priceFeel great energy bars = Total cost / number of bars
= $18 / 12
= $1.5 per bar
Super power brand = Total cost / number of bars
= $21.75 / 15
= $1.45 per bar
Therefore, the bar which Adelina should buy is super power brand because it cost less than feel great energy bar at $1.45 per bar
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The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 62 kilobits per second and a standard deviation of four kilobits per second.
(a) What is the probability that the file will transfer at a speed of 70 kilobits per second or more? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that the file will transfer at a speed of less than 58 kilobits per second? Round your answer to two decimal places (e.g. 98.76). Enter your answer in accordance to the item b) of the question statement
(c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte) Round your answer to two decimal places (e.g. 98.76).
Mean = 62 kilobits per second
Standard deviation = 4 kilobits per second
We use the Z-score formula to solve the given question, where Z = (x-μ)/σ where x = random variable, μ = Mean, σ = Standard deviation We use the Z-score table which is available in the statistics book to find the probability that corresponds to the Z-score.
(a) Find the probability that the file will transfer at a speed of 70 kilobits per second or more?
The probability that the file will transfer at a speed of 70 kilobits per second or more is 0.023.
The probability that the file will transfer at a speed of 70 kilobits per second or more? Z-score formula Z = (x-μ)/σZ = (70-62)/4Z = 2P (Z > 2) = 1- P(Z < 2) = 1- 0.9772 = 0.0228
So, the probability that the file will transfer at a speed of 70 kilobits per second or more is 0.023. (Round to 3 decimal places)
(b) Find Probability that the file will transfer at a speed of less than 58 kilobits per second?
The probability that the file will transfer at a speed of less than 58 kilobits per second is 0.16.
Probability that the file will transfer at a speed of less than 58 kilobits per second: Z-score formula Z = (x-μ)/σZ = (58-62)/4Z = -1P (Z < -1) = 0.1587So, Probability that the file will transfer at a speed of less than 58 kilobits per second is 0.16. (Round to 2 decimal places)
(c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file?
The time it will take to transfer one megabyte of file is 0.13 seconds.
Time (in seconds) it will take to transfer one megabyte of file at 8 bits per byte. One megabyte = 8 Megabits (1 byte = 8 bits) Mean = 62 kilobits per second. So, 1 Megabit will take (1/62) seconds, similarly 8 Megabits will take 8*(1/62) = 0.129 seconds. So, the time it will take to transfer one megabyte of the file is 0.13 seconds. (Round to 2 decimal places)
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if the sum of two number is 13 and their product is 42,determine the number.
Answer:
numbers are 7 and 6
Step-by-step explanation:
7+6=13
7x6=42
Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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what is the coefficient of y²z
Answer:
1
You're welcome!
A coefficient is a constant which stands in front of a variable
For example, the coefficient of 3x is 3.
Or, the coefficient of 9xy is 9
Same with 2x^2*z. 2
In this case, because there is nothing visible, the coefficient is 1.
which graph represents a line perpendicular to the line with the equation y=-1/5x+6?
Answer:
y = 5x + 6
Step-by-step explanation:
Remember:
Parallel: The slope is the same
Perpendicular: The slope is the opposite reciprocal
If we look at the equation \(y=-\frac{1}{5}x+6\), it is in slope intercept form and its slope is -1/5. Now, we will first need to flip the fraction and get rid of the negative sign.
\(y=5x+6\)
And we are done!
✓ Mark needs to buy enough tile to cover his kitchen floor with the 5/5measurements shown. Write a simplified polynomial expressions withterms in descending order to represent the amount of tile, in squaremeters, Mark should buy to cover his floor. Remember m 2 is the units,don't be confused by it. **Hint**Break up the figure into two rectangles**(4x+22) m(6x - 18) m(11x-4) m(2x + 5) m
Procedure
- Calculate the height of the lowerrectangle
height = 11x - 4 - (6x - 18)
= 11x - 4 - 6x + 18
= 5x + 14
-Calculate the area of the lower rectangle
Area = (5x + 14) (2x + 5)
= 10x(2) + 25x + 28x + 70
= 10x(2) + 53x + 70
-Calculate the area of the upper triangle
Area = (4x + 22)(6x - 18)
= 24x(2) - 72x + 132x - 396
= 24x(2) + 60x - 396
-Calculate the area of the kitchen
Area = 10x(2) + 53x + 70 + 24x(2) + 60x - 396
= 34x(2) + 113x - 396 m(2) Number two is an exponent
but I cannt write exponents
Which is more likely, to roll an even number or a number less than 5 on a 6-sided die?
Answer: A number less than 5
Step-by-step explanation:
The number of even numbers on a 6 sided die is 3 ( 2,4,and 6)
however there are 4 numbers less than 5 (1,2,3,4)
3/6 = 0.5 = 50%
4/6 = approximately 0.67 =0.67%
Since the probability of rolling a number less then 5 is higher then an even number. You are more likely to roll a number smaller then 5
Hope this helps!
Definition: An equation that involves a number raised to a variable power.
Example: y = 5%
es )
Temm: Type term here
An equation that involves a number raised to a variable power is known as exponential equation.
An equation representing the number raised to a variable power is exponential growth or decay equation,
y=abˣ
where 'a' and 'b' are constants.
'x' is the variable exponent,
and 'y' represents the resulting value of the expression.
This equation is involve in exponential growth or decay, such as population growth, compound interest, radioactive decay, and so on.
let us consider a simple example.
Suppose we have a bank account with an initial deposit of $1000 dollars and an annual interest rate of 5%.
Use the exponential equation to find out how much money we will have in our account after 'n' years, where 'n' is a whole number.
y=1000⋅(1+0.05)ⁿ
In this equation, a = 1000 represents the initial deposit,
and b = 1.05 represents the interest rate plus 1.
The variable x is replaced by n, which represents the number of years elapsed since the initial deposit was made.
The resulting value y represents the amount of money in the account after n years.
For example, after 5 years, find out how much money we will have in our account by plugging in n = 5.
y=1000⋅(1+0.05)⁵
≈1276.28
Therefore, the exponential equation can be used to model any scenario that involves number raised to a variable power.
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The given question is incomplete, I answer the question in general according to my knowledge:
Write an equation that involves a number raised to a variable power with example?
Giving brainliest to the answer who gives step by step examples clearly!
Simplifying radicals
I am confused on how to get the answer, i believe it is the cubed that is throwing me off on both of these answers, please solve and use step by step? Thanks!
Hi there!
This should be easy,lol!
Answer:
\(\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }\) (Decimal: -221.702503)
\(\sqrt[3]{162} = \boxed{162 \sqrt{3} }\) (Decimal: 280.592231)
\(\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}\)
Sorry bout the explanation thingy. Their really long -.-!
But the last one is short so i'll put it for you!
Step-by-step explanation:
∴!For the last one!∴
\(\sqrt[3]{-1000x^4}\)
Simplifies to:
\(= - 1732.050808 * x^4\)
\(= - 1732.050808 * ( x * x * x * x)\)
\(= - 1732.050808x^4\)
Have a great day/night!
Answer:
10)
\(=-4\sqrt[3]{2}\)
12)
\(=3\sqrt[3]6\)
14)
\(=-10x\sqrt[3]{x}\)
Step-by-step explanation:
10)
We have:
\(\sqrt[3]{-128}\)
We want to simplify the cube root. So, let's start picking at the factors.
Notice that -128 is divisible by 64. So:
\(=\sqrt[3]{-1\cdot64\cdot2}\)
Now, notice that 64 is the same as 4³. (-1) is also the same as (-1)³. Therefore:
\(=\sqrt{(-1)^3\cdot(4)^3\cdot2\)
We can now expand our root:
\(=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(4)^3}\cdot\sqrt[3]{2}\)
The cubes and the cube roots cancel each other out. This leaves us with:
\(=(-1)\cdot(4)\cdot\sqrt[3]2\)
Simplify:
\(=-4\sqrt[3]{2}\)
12)
We have:
\(\sqrt[3]{162}\)
Again, let's see what we can factor out.
If it's unclear what we can factor out, we can guess and check. Since 162 is even, let's divide it by 2. This yields:
\(=\sqrt[3]{2\cdot81}\)
Notice here that 81 is the same as 3⁴. Therefore:
\(=\sqrt[3]{2\cdot3^4}\)
We can separate the 3 from the exponent using the properties of exponents:
\(=\sqrt[3]{2\cdot3\cdot3^3}\)
Expand:
\(=\sqrt[3]{3^3}\cdot\sqrt[3]{2\cdot3}\)
The cube roots and cube will cancel. This leaves us with:
\(=3\cdot\sqrt{2\cdot3}\)
Simplify:
\(=3\sqrt[3]6\)
14)
We have:
\(\sqrt[3]{-1000x^4}\)
Notice here that 1000 is the same as 10³. Also, we can separate an x from the x⁴. Therefore:
\(=\sqrt[3]{-1\cdot (10)^3\cdot x^3\cdot x}\)
Also, (-1) is the same as (-1)³. Thus:
\(=\sqrt[3]{(-1)^3\cdot (10)^3\cdot x^3\cdot x}\)
Expand:
\(=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(10)^3}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{x}\)
The cube roots and the cube will cancel. This leaves us with:
\(=-1\cdot10\cdot x\cdot\sqrt[3]{x}\)
Simplify:
\(=-10x\sqrt[3]{x}\)
And we're done!
please help
Which is the graph of f(x) = 2 (4)x?
Answer:
Where is the fourth diagram?
michael borrowed $4,500 from the bank. the back charged a simple interest rate of 10.5% for the 3 years he had the back loan. what was the total cost of the loan ? HURRY .
Answer:
$1417.50+$4500= 5917.50
HELP ME seriously i have 40 minutes left
Answer:
10 dollars less
Step-by-step explanation:
just trust me bro
What is the solution to the equation?
StartFraction k Over 6.4 EndFraction = 8.7
2.3
5.568
15.1
55.68
Answer:
d
Step-by-step explanation:
Which value should she use as the common ratio?
0.05
0.5
1.05
5.0
Answer:
0.5
Step-by-step explanation:
0.5
I guess i am 70% sure
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 85m long and 57m wide. What is the length of a training track running around the field? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
The semi-circles form an entire circle with a diameter of 74.
The radius is 37
The area of the rectangle is 95 x 74 = 7030
The area of the circle is 3.142 x 37*37 = 4298.66
The total area is 11328.66
What is the range of 39,41,5,43,26,7,43,24,41
Answer:
38
Step-by-step explanation:
The range of a data set is the smallest number subtracted from the largest number.
\(39,41,5,43,26,7,43,24,41\)
In this data set, the largest number is 43 and the smallest number is 5.
\(43-5=38\)
Therefore, 38 is the range of this data set.
I need help with 3 questions!
To whoever helps, thank you sm!!
The domain of a graph is the set that contains the input values of the graph, hence it is the values of x of the points on the graph, which are:
-5, -4, -3 and -1.
What is the area of the triangle?The figure is a right triangle, which has the sides with the following measures:
10, as 6 - (-4) = 10.12, as 5 - (-7) = 12.The area is given by half the multiplication of the side lengths, hence:
Area = 0.5 x 10 x 12 = 60 square units.
What is the perimeter of the triangle?The perimeter of the triangle is given by the sum of the outer side lengths, which are obtained using the formula for the distance between two points as follows:
AD = BC = sqrt((-4 - (-5))² + (6 - 3)²) = sqrt(10).AB = DC = sqrt((-1 - (-4))² + (6 - 5)²) = sqrt(10).There are four side lengths, hence the perimeter is of:
4sqrt(10).
Meaning that option F is correct.
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write an expression for the perimeter of the triangle shown below 2.3x + 14 2x -0.2x + 15
Answer:
4.1x + 29
Step-by-step explanation:
So the perimeter would be the sum of all of the sides, so:
\(2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29\)
Answer: 4.5x+ 29 which is 3, so 3 is correct.
Step-by-step explanation:
P = a+b+c
First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)
ohnny is a sophomore in college and has a 1.5 cumulative grade point average (gpa). johnny's cumulative gpa will fall even further next semester if he performs worse than (i) his cumulative gpa. (ii) he ever performed before. (iii) he did last semester.
The value of the solution is B i.e., his cumulative gpa (i), he ever performed before (ii)
What do you mean by statistics?The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
What are types of statistics?The two types of statistics are: Descriptive and inferential.
With the alternatives available, Johnny can only do worse if his performance falls short of both his lifetime GPA and his previous best performance. It's possible that the last scenario, in which Johnny performed worse than last semester, won't necessarily have an impact on his GPA. A cumulative GPA represents Johnny's overall GPA since he first began attending school. Considering that his most recent semester may have been one of his best and had a solid outcome, earning a result somewhat below that of his previous semester may not necessarily result in a drop in his cumulative GPA. Therefore, choice B is right.
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