We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
In short :ZX = 12
XY = 8.48528
m∠WTZ = 90°
m∠WYX = 45°
Xy^-3
How do you solve this problem
Answer:
Unknown, Solve for x or y?
Step-by-step explanation:
You need to elaborate on your answer... sorry.
In the meantime, here is Microsoft Math Solver, With your equations:
https://mathsolver.microsoft.com/en/solve-problem/x-y%20%3D%20%203
You can use this tool next time :)
Have a great day,
Nate
Which inequality is represented by this graph?
The linear equality for the given graph is x > 0.
Option (B) is correct.
What is linear equality?
In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.
The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.
So we can prepare the linear equality as
x > 0
Hence, the linear equality for the given graph is x > 0.
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Which item is NOT printed on the bottom of a check?
a
check number
b
routing number
c
account number
d
date
Answer: d. Date
Step-by-step explanation:
Some of the information printed on the bottom of a check include the check number which is typically a security measure that is used in the identification of payment so as to prevent fraud.
The routing number also informs the bank where the funds for the check can be found.
The account number informs the person that collects the check about the account that the money is coming from.
We should note that the date is at the top of the check and one has to fill it himself or herself before giving the check to the recipient.
A large bird that can fly 400 kilometers in 8 hours at a constant speed. An equation d=50t, What is another equation?
Answer:
The formula for calculating speed is expressed as;
Speed v = distance d/time t
v = d/t
Given
Distance = 400km
time = 8hours
Substituting into the formula
v = 400/8
Cross multiply
8v = 400
v = 50m/s
Substitute v= 50 back into the formula
v = d/t
50 = d/t
Cross multiply
50t = d
Rearrange
d = 50t
Step-by-step explanation:
I hope this helps!
Which of these sentences uses the correct plural form of bacterium?
a. the disease is caused by bacterium that grow on lettuce leaves.
b. the disease is caused by bacteria that grow on lettuce leaves.
c. the disease is caused by bacterias that grow on lettuce leave.
d. the disease is caused by bacterion that grow on lettuce leaves.
The correct plural form of "bacterium" is "bacteria." Therefore, sentence b. "The disease is caused by bacteria that grow on lettuce leaves" uses the correct plural form.
The word "bacterium" is a singular noun referring to a single bacterium. To indicate more than one bacterium, the plural form is "bacteria." In sentence b. "The disease is caused by bacteria that grow on lettuce leaves," the noun "bacteria" is correctly used to refer to multiple instances of bacterium. Sentence a. is incorrect because it uses "bacterium" in the singular form, while sentence c. is incorrect as it uses the non-existent plural form "bacterias." Sentence d. is also incorrect as it uses "bacterion," which is not a valid plural form of bacterium.
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f (x)=-x^2+10x find f (-8)
Answer: f(-8)=-144
Step-by-step explanation:
f (x)=-x^2+10x
f (-8)=
-(-8)^2+10(-8)=
-64+(-80)=
-64-80=
-(64+80)=-144
Answer:
Remove each x and put - 8
Step-by-step explanation:
(-8)^2+(10x_8)=-16
pls help again ASAP thanks
suppose the die is tossed and we are told that the result is a number greater than 4 4 . based on this information, what is the probability that the result was a 6 6 ?
The probability that the result was a 6 is P(A)=1/3 the die is tossed and we are told that a result is a number greater than 4.
A standard 6-sided die numbered 1 to 6 has 2 sides that meet the criterion of greater than 4, which are 5 and 6. So out of 6, there are 2 ways.
A die has 6 faces with the numbers 1,2,3,4,5 and 6 on each of the six faces. Now consider an unbiased die and the probability of any of the faces appearing in a single roll is 1/6.
So,
P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6
The numbers that are greater than 4 are 5 and 6
So it can be P(5) or P(6)=
P(5)+P(6)=2/6=1/3.
If you had stated at least a 4, then there are three chances which are to be 4,5,6 that meet the criterion, and the chance would be 3/6=1/2.
Hence, by the classical definition of probability, the probability of getting a number more than 4 in a single throw of a die is 1/3.
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whole tenderloin = 2.5kg Tenderloin fat, sinew, trimming=1.65
pounds(take out) Calculate total edible tenderloin in pounds
The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds. Therefore, the total edible tenderloin in pounds is 3.86155 pounds.
The total weight of the whole tenderloin is given to be 2.5 kg.The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.
To calculate the total edible tenderloin in pounds, we need to convert the weight of whole tenderloin from kg to pounds.
1 kilogram (kg) = 2.20462 pounds (lbs)
Therefore,2.5 kg = 2.5 x 2.20462 = 5.51155 lbs We are given that 1.65 pounds of fat, sinew, and trimming need to be taken out from the whole tenderloin.
So, the total edible tenderloin in pounds = 5.51155 - 1.65= 3.86155 pounds
Therefore, the total edible tenderloin in pounds is 3.86155 pounds.
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Solve the equation below for x. cx - 4 = 7
Answer:
x = \(\frac{11}{c}\)
Step-by-step explanation:
Given
cx - 4 = 7 ( add 4 to both sides )
cx = 11 ( isolate x by dividing both sides by c )
x = \(\frac{11}{c}\)
Calculate averages for A-F, thanks
EX#2- Solve the following: a- 0.85-0.65 b-1.25 -0.55 c- 0.73 +0.42 d- 0.15 X 0.05 e-0.75/0.15 f- 5 X 0.30
The average of "0.85 - 0.65", "1.25 - 0.55", "0.73 + 0.42", "0.15 × 0.05", "0.75/0.15", "5 × 0.30" is 1.43.
In order to calculate the average of the given expressions, we add up all the values and then divide by the total-number of expressions. Let's calculate the average step by step:
0.85 - 0.65 = 0.20
1.25 - 0.55 = 0.70
0.73 + 0.42 = 1.15
0.15 × 0.05 = 0.0075
0.75 / 0.15 = 5
5 × 0.30 = 1.50
Now, let us find the average:
(0.20 + 0.70 + 1.15 + 0.0075 + 5 + 1.50)/6
= 8.57 6
= 1.42833 ≈ 1.43
Therefore, the average of given expressions is 1.43.
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The given question is incomplete, the complete question is
Calculate the average of "0.85 - 0.65", "1.25 - 0.55", "0.73 + 0.42", "0.15 × 0.05", "0.75/0.15", "5 × 0.30".
Which expression has the greatest value?
A.
5·10^4 + 8·10^20
B.
5·10^4 – 8·10^20
C.
5·10^4 · 8·10^20
D.
5·10^4 ÷ 8·10^20
Part 2
Which expression has the least value?
A.
5·10^4 + 8·10^20
B.
5·10^4 – 8·10^20
C.
5·10^4 · 8·10^20
D.
5·10^4 ÷ 8·10^20
if we select 3 young women at random, what is the probability that their average height is shorter than / at most 63 inches (that is, they are at most 63 inches tall, on average)?
The probability that the average height of 3 young women is at most 63 inches is approximately 12.38%. Here option A is the correct answer.
To calculate the probability that the average height of 3 young women is at most 63 inches, we need to use the central limit theorem, which states that the distribution of the sample means of a sufficiently large sample from any population with a finite mean and variance will be approximately normally distributed.
Assuming the heights of young women follow a normal distribution, with a mean of μ and a standard deviation of σ, we can calculate the probability using the standard normal distribution table or a statistical software package.
First, we need to calculate the mean and standard deviation of the sample mean. The mean of the sample mean is equal to the population mean, μ, which we assume to be 65 inches. The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size, which is 3 in this case. Assuming a standard deviation of 3 inches, the standard deviation of the sample mean is 3 / sqrt(3) = 1.73 inches.
Next, we need to calculate the z-score for a sample mean of 63 inches:
z = (63 - 65) / 1.73 = -1.16
Using the standard normal distribution table, we can find the probability that a z-score is less than or equal to -1.16. The probability is 0.1238, or approximately 12.38%.
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Complete question:
If we select 3 young women at random, what is the probability that their average height is shorter than / at most 63 inches (that is, they are at most 63 inches tall, on average)?
A - 12.38
B - 13.38
C - 15.48
D - 17.40
Need URGENT help with #10-#14!!
Answer:
Step-by-step explanation:
Formula for circumference = 2πr
where r = radius
π = 3.14
10. Radius = 4in
Circumference = 2πr = 2 × 3.14 × 4
= 25.12in
11. Radius = 7 yard
Circumference = 2πr = 2 × 3.14 × 7
= 43.96 yard
12. Radius = 3.6 km
Circumference = 2πr = 2 × 3.14 × 3.6
= 22.608 km
13. Radius = 1.1mm
Circumference = 2πr = 2 × 3.14 × 1.1
= 6.908mm
14. Radius = 1/4mi
Circumference = 2πr = 2 × 3.14 × 0.25
= 1.57mi
For the following functions, please list them again but in the order of their asymptotic growth rates, from the least to the greatest. For those functions with the same asymptotic growth rate, please underline them together to indicate that. n!,log 2
(n!),3 n
,(log 2
n) n
,log 2
n n
,(log 10
n) 2
,log 10
n 10
,n 1/2
,5 n/2
The functions can be ordered as follows: 1/2, log₂(n), log₂(n) * n, log₁₀(n), 2, n, 3ⁿ, 5n/2, 10, n!, where the underlined functions have the same asymptotic growth rate.
To order the functions based on their asymptotic growth rates:
1. 1/2: This is a constant value, which does not change as the input size increases.
2. log₂(n): The logarithm grows at a slower rate than any polynomial function.
3. log₂(n) * n: The product of logarithmic and linear terms exhibits a higher growth rate than log₂(n) alone, but still slower than polynomial functions.
4. log₁₀(n) and 2: Both log₁₀(n) and 2 have the same asymptotic growth rate, as logarithmic functions with different bases have equivalent growth rates.
5. n: Linear growth indicates that the function increases linearly with the input size.
6. 3ⁿ: Exponential growth indicates that the function grows at a much faster rate compared to polynomial or logarithmic functions.
7. 5n/2: This is a linear function with a constant factor, which grows at a slightly slower rate than n.
8. 10: This is a constant value, similar to 1/2, indicating no growth with the input size.
9. n!: Factorial growth represents the fastest-growing function among the listed functions.
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a line is perpendicular to
y= -1/4x -9
what is the slope of this perpendicular line?
Reason: Any two perpendicular lines will have their slopes multiply to -1, where neither line is vertical.
The given line has slope -1/4 and the perpendicular slope is 4
(-1/4)*4 = -1
Put another way: the answer is 4 because it's the negative reciprocal of -1/4.
Angelo, age 40, is comparing the premium for a $125,000 whole life insurance policy he may take now and the premium for the same policy taken out at age 45. The Annual Life Insurance Premium (per $1000 of face value) for a 40-year-old male is 22. 60 and for a 45-year-old male is 27. 75. What would be the difference in total premium costs over 20 years for this policy at the two age levels? a. $69,375 b. $11,725 c. $12,875 d. $644.
Answer:
C. 12,875
Step-by-step explanation:
EDGE 2022
Answer:
Answer is C
Step-by-step explanation:
I took the test
Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order.
y dA, D is bounded by y = x − 6; x = y2
D
The value of the double integral using the easier order, ydA bounded by y = x − 6; x = y² is 125/12.
The double integral, indicated by ', is mostly used to calculate the surface area of a two-dimensional figure. By using double integration, we may quickly determine the area of a rectangular region. If we understand simple integration, we can easily tackle double integration difficulties. Hence, first and foremost, we will go over some fundamental integration guidelines.
Given, the double integral ∫∫yA and the region y = x-6 and x = y²
y = x-6
x = y²
y² = y +6
y² - y - 6 = 0
y² - 3y +2y - 6 = 0
(y-3) (y+2) = 0
y = 3 and y = -2
\(\int\int\limits_\triangle {y} \, dA\\ \\\)
= \(\int\limits^3_2 {y(y+6-y^2)} \, dx \\\\\int\limits^3_2 {(y^2+6y-y^3)} \, dx \\\\(\frac{y^3}{3} + 3y^2-\frac{y^4}{4} )_-_2^3\\\\\frac{63}{4} -\frac{16}{3} \\\\\frac{125}{12}\)
The value for the double integral is 125/12.
Integration is an important aspect of calculus, and there are many different forms of integrations, such as basic integration, double integration, and triple integration. We often utilise integral calculus to determine the area and volume on a very big scale that simple formulae or calculations cannot.
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40 points!!!!!!!!!!!!!!!!!!!
Answer:
the length of qp should be 3
Step-by-step explanation:
rotating the polygon shows that they are the same, the previous polygon has a he of 3 as well.
Answer:
4
Step-by-step explanation:
EFGH is congruent with QRSP. QRSP has to go in this order because the letters were scattered around the corners. EF is the same length as QR. If EF is 4 and and E4 is the same length as QR, then QR = 4.
How do I right 62% as a decimal
Answer:
0.62
Step-by-step explanation:
=> 62% = 62/100
=> 62/100 = 0.62
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
SOMEONE HELP ON QUESTION #13 pleasseeee
Answer:
You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.
Step-by-step explanation:
Hope this helps!
Brainliest please!
Review the proof of the identity cos(π − A) = −cosA.
cos(π − A)
Step 1: = cosπcosA − sinAsinπ
Step 2: = (−1)(cosA) + (sinA)(0)
Step 3: = −1cosA + (sinA)(0)
Step 4: = −cosA + 0
Step 5: = −cosA
At which step was an error made?
step 1
step 2
step 3
step 4
Answer:
error in step 1
Step-by-step explanation:
well where is does the step not make sense?
remember cos(pi) = -1 and sin(pi)=0
that means step 1 is strange... it didn't distribute properly
it should have been:
cos(pi) - cos(A)
hope that helps! ^-^
The error is made at step 1). The correct trigonometric identity is cos(π - A) = cosπcosA + sinπsinA.
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
cos(π - A) = cosπcosA + sinπsinA
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Question attached as screenshot below: please help me Pre Calculus
From the given question
The volume of a cone is:
\(V=\frac{1}{3}\times\pi\times r^3\)Now,
We are given with radius and the height of the cone
So,
We can solve for the radius as a function of water level using ratio and proportion
Then,
\(\begin{gathered} \frac{3}{9}=\frac{r}{h} \\ r=\frac{h}{3} \end{gathered}\)Substitute the value of r into the above formula
So,
\(\begin{gathered} V=\frac{1}{3}\times\pi\times r^3 \\ V=\frac{1}{3}\times\pi\times(\frac{h}{3})^3 \\ V=\frac{h^3}{81}\times\pi \end{gathered}\)Then,
Taking derivatives
\(\begin{gathered} V=\frac{h^3}{81}\times\pi \\ \frac{dV}{dt}=\frac{h^3}{81}\times\pi \end{gathered}\)The,
Solving for the dh/dt
So,
\(\begin{gathered} \frac{dV}{dt}=10\text{ and h=3, then } \\ \frac{dh}{dt}=9.55m\text{ /s} \end{gathered}\)Hence, the answer is 9.55.
Use a calculator to find the approximate value of the expression. round the answer to two decimal places. the sine of the complementary angle to 75°.a. 0.65 b. 0.34 c. 0.57 d. 0.26
Answer: Option d. 0.26
Step-by-step explanation:
Since the addition of complementary angles = 90°
75° + x = 90°
x = 90° - 75 °
x = 15° ( the complementary angle )
sine 15° = 0.25882
= 0.26 correct to two decimal places
The sum of 3 and m
A.x-3
B.1/2y
C.3+m
D.14+3x
E.x+5
F.14+4x
Answer:
C
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
first of all thank you for reading this
it's addition which 3 + m
PLEASE HELP ASAP!!!!!!!!
Solve the non-linear Differential Equation y"=-e" : y = f(x) by explicitly following these steps: (Note: u= f(y), w=f(u) so use the chain rule as necessary) vi. (15 pts) Find .x+D wrt z = √C²-2u by way of integration wrt u, where D is the constant of integration wrt.x
Given that y" = -e and we are required to solve this non-linear differential equation. We are also provided with u = f(y) and w = f(u). We need to find dx + D with respect to z = sqrt(C² - 2u) by integrating with respect to u. The constant of integration with respect to x is given as D.
Now, let's solve the given problem step by step:Step 1: Differentiate u with respect to x to get
du/dx = dy/dx = 1/y'
and differentiate w with respect to x to get
\(dw/dx = dw/du * du/dx\)
= w' * 1/y'
= w' / y'.
Here, we have used the chain rule to differentiate w with respect to x.Step 2: Differentiate w with respect to u to get
w' = dw/du
\(= (d/dy(f(u))) * (du/dx)\)
= (d/dy(f(u))) / y'.
Here, we have used the chain rule to differentiate w with respect to u.Step 3: Differentiate u with respect to y to get
u' = du/dy
= 1/y'.
Step 4: From the given equation, we have
y" = -e
\(=> w" * (du/dy)² + w' * (d²u/dy²)\)
= -e.
Substituting the values of w' and du/dy from steps 2 and 3 respectively, we get:
w" / y' + (d²u/dy²) = -e.
Multiplying both sides by y', we get
y' * w" + (y"') * w = -e * y'.
Substituting the values of y" and y"' from the given equation, we get:
y' * w" + e * w = e².
Step 5: Differentiate the given expression for z with respect to x to get dz/dx = (-1 / (C² - 2u)) * (d/dx(2u)).
Substituting the value of u from step 1, we get:
\(dz/dx = (-1 / (C² - 2f(y))) * (d/dx(2f(y)))\)
= (-1 / (C² - 2f(y))) * 2f'(y) * y'.
Step 6: Integrating both sides of the above equation with respect to u, we get:
dx/dz = (C² - 2u) / (2f'(y)).
Integrating both sides with respect to z, we get:
x + D = 1/2 * ln|C² - 2u| + F(f(y))
where F is an arbitrary function of u. Substituting the value of u from step 1, we get:
x + D = 1/2 * ln|C² - 2f(y)| + F(u)
Putting the value of F(u) as 0, we get:
x + D = 1/2 * ln|C² - 2f(y)|
The above is the required expression for x + D with respect to z. Therefore, the answer is:
dx + D = 1/2 * ln|C² - 2f(y)|.
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In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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8th grade math!!!! ILL BRAINLIST!! URGENT :))
The number of boys in the eighth grade is equal to 100 minus the number of girls. There are 10 more boys than girls in the eighth grade
How many girls are in the eighth grade
Answer:
110 you are welcome
friend
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
i tried to do my math but if i am wrong im sorry