Answer:
Z = 51º
Step-by-step explanation:
sinZ/12.5 = sin76/15.5
multiply both sides by 12.5
sinZ = sin76/15.5 * 12.5
Use calculator
sinZ = 0.782496553448384
Z = arcsin 0.782496553448384
Use calculator again
Z = 51.48972926377471º
Rounded
Z = 51º
What is the range?
5 2 4 6 0 0
Answer:
You find the range by subtracting the smallest value from the highest in the set. So in this case, it would be 5-0=0
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
Simplify the expression using properties of operations.
7 1/3t−(10 2/3t−6)
Answer:
Step-by-step explanation:
Given expression is 7 1/3t-(10 2/3t-6)
Now, convert the proper fraction present in the question to improper fractions.
proper fractions are 7 1/3 and 10 2/3
so, 7 1/3 =(7*3+1)/3 = 22/3
10 2/3 = (10*3+2)/3=32/3
= >22t/3 - (32t/3 -6)
= >22t/3 - 32t/3 +6
= >6 - 10t/3
This is the final solution.
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Find the volume of the square pyramid shown (please help)
Answer:
Given:
b = 8 cm
h = 3 cm
Find : Volume
Formula: V = \(a^{2}\)h/3
Solution: V = (8 cm)2 ( 3 cm)/ 3
V = (64 cm2)(3 cm)/3
V = 192 cm3/3
V = 64 cubic cm
Help pls quick it’s due today!!!!:((ISHOW WORK IF NEEDED
Answer:
The independent variable is b. The dependent variable is p. The equation that represents the relationship between the variable is b = 6p.
Step-by-step explanation:
If you read it carefully, it says that b is equal to 6 times p. Since p is time with 6 it is dependent and b is independent. Hope this helps, thank you :) !!
Moshde runs a hairstyling business from her house. She charges $40 for a haircut and style. Her monthly expenses are $1140. She wants to be about to put at least $1188 per month into her savings account order yo open her own salon. How many "cuts & styles" must she do to save at least $1188 per month.
Answer:
Moshde must do 59 cuts & styles per month
Step-by-step explanation:
she has to earn $1140+$1188=$2328
since she get $40 for a haircut and style
then she need to \(\frac{2328}{40}=58,2\) roundup it 59
Moshde must do 59 cuts & styles per month
jack is thinking of two whole numbers
the sum of the number is 13
the difference between the numbers is 1
what is the product of the numbers
Answer:
Their product is 42
Step-by-step explanation:
Let the numbers be A and B
Such that:
\(A + B = 13\)
\(A - B = 1\)
Required
Determine A * B
Add both equations together:
\(A + A + B - B = 13 + 1\)
\(2A = 14\)
Solve for A
\(A = 7\)
Substitute 7 for A in the second equation
\(7 - B = 1\)
Make B the subject
\(B = 7 - 1\)
\(B = 6\)
Hence,
A = 7 and B = 6
So:
\(A * B = 7 * 6\)
\(A * B = 42\)
The product of the two numbers will be 42.
Let the two numbers be A and B
A + B = 13
A - B = 1
A = 1 + B.
Therefore, since A + B = 13, then (1 + B) + B = 13
1 + 2B = 13
2B = 13 - 1
2B = 12
B = 6
A = 6 + 1 = 7
Since the numbers are 6 and 7, then multiplying them is 42.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
whitch expression is equivalent to /147?
A7/3 C3/7
B49/3 D21/7
Answer:
B 49/3
Explanation:
I did the work, unlike your lazy ahh! :)
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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Hunter read 12 books in 2 months. If he reads at a constant rate, how many books did
he read in one month? Give your answer as a whole number or a FRACTION in
simplest form.
PLS ANSWER QUICK
Answer:Hunter read 6 months in a month
Step-by-step explanation:
12/2=6 books in a month
Answer:
6 Books a Month
Step-by-step explanation:
12 / 2 = 6
I need help on question 27
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)
Givens:We are given the equation that we are working with:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
We are given certain values that the variables, in this case, are equal to:
A = 136
\(b_{1}\) = 7
h = 16
Steps:Substitute the given variables in the given equation for the corresponding numbers:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
We know all the values in the equation except \(b_{2}\). In order to find \(b_{2}\) we must isolate it on one side of the equation
136 = 8 (7 + \(b_{2}\))
\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)
17 = 7 + \(b_{2}\)
17 - 7 = 7 - 7 + \(b_{2}\)
10 = \(b_{2}\)
Check:If \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
136 = \(\frac{1}{2}\) * 16 (7 + 10)
136 = \(\frac{1}{2}\) * 16 (17)
136 = 8 (17)
136 = 136
\(b_{2}\) = 10
Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sarah. If theages of Frank and Sarah differ by 40 years, then find the age ofAndrew.
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
\(2(x+2)-\frac{x}{2}=40\)Solve the term is parenthesis
\(\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}\)x=24 years
Andrew's age is
\(x+2=24+2=26\)Andrew is 26 years old
Solve for p: -9 + p < 15
A. p > 24 B. -p > 6 C. p < 24 D. -p < -6
Answer:
p<24
Step-by-step explanation:
move all terms not containg p to the right side of the inequality.
ineqyality form:p<24
Find the area A of polygon ABCDEFG with the given vertices. A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3) A= square units
Answer:
A=10 square units
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.
The area of the polygon is \(8+ \sqrt 2\) square units
Given
\(A=(0,5)\)
\(B =(2,5)\)
\(C =(2,3)\)
\(D = (3,2)\)
\(E = (1,2)\)
\(F = (0,3)\)
\(G = (-4,3)\)
First, we plot the points (see attachment)
From the attached image, the polygon can be into split to several shapes as follows:
Square ABCFTriangle AFGRhombus CDEFThe area of a shape is the amount of space it can occupy.
The area of the polygon is \(8+ \sqrt 2\) square units
Given
\(A=(0,5)\)
\(B =(2,5)\)
\(C =(2,3)\)
\(D = (3,2)\)
\(E = (1,2)\)
\(F = (0,3)\)
\(G = (-4,3)\)
First, we plot the points (see attachment)
From the attached image, the polygon can be into split to several shapes as follows:
Square ABCFTriangle AFGRhombus CDEFThe area of the square is:
\(Area = Length^2\)
using the following distance formula
\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
So, we have:
\(A\ F = \sqrt{(0- 0)^2 + (5- 3)^2}\)
\(A\ F = \sqrt{4}\)
\(A\ F = 2\)
So, we have:
\(Area =2^2\)
\(Area = 4\)
The area of the triangle is:
\(Area= 0.5 \times Base \times Height\)
Where
\(Height = A\ F =2\)
\(Base =FG\)
Side length FG is calculated as follows:
\(FG = \sqrt{(0 --4)^2 + (3 -3)^2}\)
\(FG = \sqrt{16}\)
\(FG =4\)
So, we have:
\(Area= 0.5 \times Base \times Height\)
\(Area = 0.5 \times 2 \times 4\)
\(Area =4\)
The area of the rhombus is:
\(Area= \frac{1}{2} (FD \times CE)\)
Where:
\(FD = \sqrt{(1 - 3)^2 + (2 - 2)^2}\)
\(FD = \sqrt{4}\)
\(FD = 2\)
\(CE = \sqrt{(2 -1)^2 + (3 -2)^2}\)
\(CE = \sqrt{2}\)
So, we have:
\(Area= \frac{1}{2} (FD \times CE)\)
\(Area = \frac 12(2 \times \sqrt 2)\)
\(Area = \sqrt 2\)
So, the area of the shape is the sum of the three areas;
\(Area = 4 + 4 + \sqrt 2\)
\(Area = 8+ \sqrt 2\)
Hence, the area of the polygon is \(8+ \sqrt 2\) square units
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A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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Help with this math.
Answer:
17cm
Step-by-step explanation:
Perimeter is the sum of all the sides.
4.5+4.5=9
4+4=8
9+8=17
. A system consists of three subsystems in parallel. Subsystem A has a reliability of 0.98, subsystem B has a reliability of 0.85, and subsystem C has a reliability of 0.88. Calculate the overall system reliability.
Answer:
\(P(System) = 0.73304\)
Step-by-step explanation:
Given
Reliability of:
A = 0.98
B = 0.85
C = 0.88
Required
Determine the overall reliability
The overall system reliability is calculated by multiplying the individual reliability of each subsystems;
i.e.
\(P(System) = P(A) * P(B) * P(C)\)
\(P(System) = 0.98 * 0.85 * 0.88\)
\(P(System) = 0.73304\)
Hence, the overall reliability is 0.73304
A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many different ways could the committee be made?
Answer:
12870 ways
Step-by-step explanation:
10c2*13c3
10!/(10-2)!2! *13!/(13-3)!3!
[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]
45*286
12870 ways
What rigid motion maps the solid-line figure onto the dotted-line figure?
A reflection
B. rotation
C. translation
Answer:
A. Reflection
Step-by-step explanation:
I believe the answer would be reflection
Jim’s gas credit card bill was $80.97 for June, $41.35 for July and $65.08 for August. What were his total charges for summer?
Answer: Jim’s gas credit card bill was $187.4 for summer?
Step-by-step explanation:
80.97+ 41.35+65.08=187.4
the answer is $187.4
I need help with questions 1,2, and 3. This class is microeconomics
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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URGENT! I NEED ANSWERS TO THESE QUESTIONS PLS
Answer:
The first one is congruent. Vertical angles are congruent (same measurement)
The second and third pictures are the same Supplemental. The two angels added together is 180
The last picture is commentary. That is when two angles added together are 90.
Step-by-step explanation:
Consider a pool of six I/O buffers. Assume that any buffer is just as likely to be available or occupied as any other. Compute the probabilities associated with the following events:
A = At least two but no more than five buffers occupied.
B = At least three but no more than five buffers occupied.
C = All buffers available or an even number of buffers occupied.
D = At least one of the events A, B, and C occurs.
The associated probabilities are A = At least two but no more than five buffers occupied.
There are a total of 2^6 = 64 possible outcomes when rolling 6 dice.
To find the probability of event A, we need to find the number of outcomes where at least two but no more than five buffers are occupied.
This can be done by summing the probabilities of each individual outcome where two, three, four, or five buffers are occupied and subtracting the probabilities where six or zero buffers are occupied.
The probability of two buffers being occupied is (6 choose 2)(1/64) = 15/64
The probability of three buffers being occupied is (6 choose 3)(1/64) = 20/64
The probability of four buffers being occupied is (6 choose 4)(1/64) = 15/64
The probability of five buffers being occupied is (6 choose 5)(1/64) = 6/64
So the probability of event A is (15/64) + (20/64) + (15/64) + (6/64) = 56/64.
B = At least three but no more than five buffers occupied.
To find the probability of event B, we need to find the number of outcomes where at least three but no more than five buffers are occupied.
This can be done by summing the probabilities of each individual outcome where three, four, or five buffers are occupied and subtracting the probability where six buffers are occupied.
The probability of three buffers being occupied is (6 choose 3)(1/64) = 20/64
The probability of four buffers being occupied is (6 choose 4)(1/64) = 15/64
The probability of five buffers being occupied is (6 choose 5)*(1/64) = 6/64
So the probability of event B is (20/64) + (15/64
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9. The measure of each exterior angle of a regular pentagon is
the measure of each exterior
angle of a regular nonagon.
Answer:
55,55
Step-by-step explanation:
hereakaigdidjuwjapwwjshd
;)))))))))))))))))))))))))))))))))))))))))))))))
Answer:
;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Step-by-step explanation:
yes yes do the ;))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
without using a calculator
cos² 43° - sin² 74° + cos² 47 - Sin16°
Answer:
100
Step-by-step explanation:
because if you add it all up you will find the sum
16.437 rounded to the nearest hundredth is 16.43 True or False? (I was just checking if this was false I think its true)
What is the solution to the equation x2 = 16? Explain.
Answer:
x = ±4
Step-by-step explanation:
x^2 = 16
Take the square root of each side
sqrt(x^2) = ±sqrt(16)
x = ±4
A real estate agent believes that the values of houses in the neighborhood she works in have increased from last year. To test this claim, she selects random houses in this neighborhood and compares their estimated market values in the current year to their estimated market values in the previous year. Suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. Assume that the values are normally distributed. What type of test is this hypothesis test?
Answer:
alternative hypothesis test
Explanation:
Remember, the alternative hypothesis test usually suggests that there is a chance of variation (difference) in the data observed.
Hence, since we are told the "real estate agent believes that the values of houses in the neighborhood she works in have increased (the chance of variation) from last year," and that "each difference is calculated by subtracting the market value of the previous year from the market value of the current year," we can reach the conclusion that this is an example of an alternative hypothesis test.
Write the ratio for sin A.
sin A =
(Type an integer or a simplified fraction.)
The calculated ratio for the sine the angle A has its value to be 8/17
Writing the ratio for sin A.The ratio for sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
This ratio is commonly denoted as sin(θ), where θ is the angle of interest.
Mathematically, we can express this as:
sin(θ) = opposite / hypotenuse
Using the above, we have
opposite = 8
hypotenuse = 17
So, we have
sin(A) = 8/17
Hence, the ratio is 8/17
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