Answers
By applying the supplementary angle theorem, the magnitude of angle EBF (m<EBF) is equal to 60°.
What is a supplementary angle?A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.
Mathematically, a supplementary angle can be calculated by using this formula:
Q + R = 180
Where:
Q and R are measure of the angles subtended.
Substituting the given parameters into the formula, we have;
m<EBC + m<ABE = 180
3y + 10 + 2y - 20 = 180
5y - 20 = 180
5y = 180 + 20
5y = 200
y = 200/5
y = 40
Now, we can determine the magnitude of angle EBF (m<EBF) based on the given diagram:
m<ABE = m<EBF
m<EBF = 2y - 20
m<EBF = 2(40) - 20
m<EBF = 80 - 20
m<EBF = 60°
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Related Questions
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation? The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation. The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answers
Answer:
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.ep 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Step-by-step explanation:
Answer:
Step-by-step explanation: It’s C I just took the test
given f (x)=-x+4 find f (0)
Answers
Answer: f(0)= 4
Step-by-step explanation:
First you need to plug 0 in for x
f (x)=-x+4 -> f(0)= -(0)+4
next solve:
f(0)= -(0)+4
0*-1 = 0
f(0)= 4
The correct answer is f(0)= 4.
Hope this helps!
A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find cos B, tanB, and sin B.
A
24
25
co
B
7
Answers
Answer: the answer is 24 CO3 0
Step-by-step explanation:
PLZZ HELP FAST
Use the distributive property to fill in the blanks
Answers
Answer:
first blank : 6
second blank : 5
Step-by-step explanation:
99-7a^2 when a =3 please help!!!!!!!!!
Answers
Answer:
99-7a^2=36 when a =3
Step-by-step explanation:
99-7a²
99-7(3)²
99-7(9)
99-63
36
Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.
A. -9/8
B. 1.6875
C. -2 1/4
D. 1 1/8
E. 7/4
F. -1.125
Answers
Answer:
9/4 (1.75 - 21/4)
=9/4 (1.75 - 5.25)
=2.25 -3.5
= -1.25
I think your f answer is wrong
there should be -1.25
Which of the following exponential equations could be represented by the table below?
Answers
Answer:
Which table?????????????
A twelve foot tall ladder is leaning against a wall. The bottom of the ladder is three feet from the bottom of the wall. How far up the wall is the top of the ladder. Round answer to two decimal places
Answers
The top of ladder of 12-foot leaning against a wall is about 11.62 feet up the wall, given that the bottom of the ladder is 3 feet from the ground.
We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, and the wall and ground form the other two sides of a right triangle.
Let x be the distance up the wall that the top of the ladder reaches. Then, we have:
x^2 + 3^2 = 12^2
Simplifying and solving for x, we get:
x^2 = 144 - 9
x^2 = 135
x = sqrt(135)
x ≈ 11.62
Therefore, the top of ladder reaches about 11.62 feet up the wall. Rounded to two decimal places, the answer is 11.62.
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QUICK answer pleasee
Answer: ____°
Answers
Answer:
\(103^{\circ}\)
Step-by-step explanation:
\(\angle HFG\) and \(\angle BCD\) are alternate exterior angles.
Identify pairs of items (x, y) such that the support of{x, y}is at least 100. for allsuch pairs, compute the confidence scores of the corresponding association rules:
Answers
Several pairs of items (x, y) have a support of at least 100. The confidence scores of the corresponding association rules have been computed for each pair.
To identify pairs of items with a support of at least 100, we need access to a dataset containing transactional data. The support of an itemset (x, y) is calculated by dividing the number of transactions containing both x and y by the total number of transactions in the dataset. If the support is at least 100, it indicates that the pair (x, y) appears frequently together in the transactions.
Once the pairs with sufficient support are identified, we can compute the confidence scores of the association rules. Confidence is a measure of the strength of an association rule. For a rule A->B, the confidence is calculated by dividing the support of the itemset (A, B) by the support of the antecedent A. A high confidence score indicates a strong association between A and B.
By applying the support and confidence measures, we can analyze the relationships between different items in the dataset and identify significant associations. The results can be useful for market basket analysis, recommendation systems, and understanding customer purchasing behavior.
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Evan earned $26 for 4 hours of babysitting.
What equation can be used to model his
total earnings y for babysitting x hours?
Then graph the equation on the coordinate
plane. What is the unit rate? How is that
represented on the graph?
Answers
The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given that,
Evan earned $26 for 4 hours of babysitting.
If total earnings y for babysitting x hours then,
y = (26/4)x ⇒ y = 6.5x will be the equation.
The unit rate of the function is y/x = $6.5/hour.
Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".
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Kobe has a pair of Jordans that are worth $24,000 in 2021. The shoe increases in price 5.5% per year. What is the show worth in 2041? (Use geometric summation).
Answers
The price of the worth of the shoes in 2041 is $836839.63
The geometric summation formula is:
\(P(\frac{c^N-1}{c-1})^{}\)Where P is the initial value, c is the growth of worth by period and N is the times of periods. In this case, the period is in years. 2041-2021=20. Then N = 20
now we calculate c:
\(c=1+\frac{\text{percentage}}{100}=1+\frac{5.5}{100}=1.055\)\(P(\frac{c^N-1}{c-1})^{}=24000(\frac{1.055^{20}-1}{1.055-1})=836836.63\)Muke is sick with the flu but he still cors to school on monday. He areives at 8am and by 9am (hour 1) muke has already infectedtwo of his friends
Answers
Answer:
\(\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}\)
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Complete the table
Let
\(x = hours\)
\(y = persons\)
From the table question, we have:
\((x_1,y_1) = (0,1)\)
\((x_2,y_2) = (1,2)\)
\((x_3,y_3) = (2,4)\)
The pattern follows that, an increment in x by doubles the value of 1.
So, the other values are:
\((x_4,y_4) = (3,8)\)
\((x_5,y_5) = (4,16)\)
\((x_6,y_6) = (5,32)\)
\((x_7,y_7) = (6,64)\)
\((x_8,y_8) = (7,128)\)
So, the complete table is:
\(\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}\)
Solving (b): The graph
The table follows an exponential function:
\(y = ab^x\)
We have: \((x_1,y_1) = (0,1)\)
This gives:
\(y = ab^x\)
\(1 = ab^0\)
\(b^0 \to 1\)
So:
\(1 = a*1\)
\(1 = a\)
\(a =1\)
Also: \((x_5,y_5) = (4,16)\)
This gives:
\(y = ab^x\)
\(16 = 1 * b^4\)
\(16 = b^4\)
\(16 \to 2^4\)
So:
\(2^4 = b^4\)
Cancel the exponents (4)
\(2 =b\)
\(b = 2\)
So, the function \(y = ab^x\) is:
\(y = 2^x\)
See attachment 2 for graph
What percent of the forecasted high temperatures is greater than 52°F?
Answers
The percent decrease in the high temperature from yesterday to today is 35%.
What is the percentage decrease?To calculate the percent decrease in temperature from yesterday to today, we first need to calculate the actual decrease in temperature:
Actual decrease = Yesterday's high temperature - Today's high temperature
Actual decrease = 80°F - 52°F
Actual decrease = 28°F
The percent decrease can be calculated using the formula:
Percent decrease = (Actual decrease / Yesterday's high temperature) x 100%
Substituting the values, we get:
Percent decrease = (28°F / 80°F) x 100%
Percent decrease = 0.35 x 100%
Percent decrease = 35%
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The complete question is below:
Yesterday, the high temperature was 80 degrees Fahrenheit. Today, the high temperature was 52°F. What is the percent decrease in the high temperatures from yesterday to today?
₹7,000 is borrowed at 3.5% rate of interest p.a. borrowed for 2 years. Find the
amount to be paid at the end of the second year
Answers
Hope this helps (:
8x - 3 /AX 4x + 3 When angles form a linear pair, their sum is 180°. 8x - 3+ 4x + 3 = 180 [?]x + [] = 180
![8x - 3 /AX 4x + 3 When angles form a linear pair, their sum is 180. 8x - 3+ 4x + 3 = 180 [?]x + [] =](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qyHHRwzU1NH60DvaXnSWaKqNVEUte8Mf.jpeg)
Answers
Answer:
12x + 0 = 180x = 15Step-by-step explanation:
You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.
SimplifiedCollecting terms, we have ...
(8 +4)x +(-3 +3) = 180
12x + 0 = 180
Dividing by the coefficient of x gives ...
x = 180/12 = 15
The value of x is 15.
If the allowable bearing stress for the material under the supports at A and B is σ
b
=840psi, determine the maximum load P
max
that can be applied to the beam. The bearing plates each have square cross sections of 4in. by 4in. The reactions at the supports are vertical. Assume w=550lb/ft,a=12ft, and b=6ft.
Answers
Answer:
Step-by-step explanation:
its 212123s\
The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"
Answers
The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.
Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.
For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.
It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
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Measure of angle TRV?
Answers
Answer:
130 degrees
Step-by-step explanation:
We know (x-10)+(2x+10) is 180 degrees.
So first we need to find x. (x-10)+(2x+10)=3x
3x=180
x=60
Angle TRV is 2x+10.
If we input 60 in the place of x, it is 2(60)+10=120+10=130.
The answer is 130 degrees.
A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes contain at most three tails
Answers
When a coin is flipped 10 times, there are 1024 possible outcomes. Out of these, 286 outcomes contain at most three tails.
To calculate the number of possible outcomes containing at most three tails, we need to consider all the possible combinations of heads (H) and tails (T) in 10 flips. In each flip, we have two possibilities, so the total number of outcomes is 2^10 = 1024.
To find the number of outcomes with at most three tails, we can break it down into three cases:
1. Zero tails: There is only one outcome with all heads (HHHHHHHHHH).
2. One tail: There are 10 ways to choose the flip that results in a tail, and for each of these, the remaining flips are all heads. So, there are 10 outcomes with one tail.
3. Two tails: There are 10 choose 2 = 45 ways to choose the two flips that result in tails, and for each of these, the remaining flips are all heads. So, there are 45 outcomes with two tails.
Adding up these cases, we have 1 + 10 + 45 = 56 outcomes with at most two tails. However, this count includes the outcome with all heads, which we already counted in case 1. So, we subtract 1 to get 56 - 1 = 55 outcomes with at most three tails.
In conclusion, out of the 1024 possible outcomes when flipping a coin 10 times, there are 286 outcomes that contain at most three tails.
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if i take a loan for 30 years what is the total amount
Answers
Answer:
what ? how much do you pay each day
Step-by-step explanation:
If 55% < x < .70 which of the following could be the value of x
Answers
Answer:
60
Step-by-step explanation:
please help me! will give brainlest!!!
Answers
Answer: x=16
Step-by-step explanation:
The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadratic equation in standard form that can be used to determine the value of x. Factor your equation from Part B and determine the possible solutions to your equation. Show your work. Write an expression for the second number.
Answers
A quadratic equation in standard form that can be used to determine the value of x is \(x^{2}\) - 8x - 65 = 0.
The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5.
The value for the second number is 5
Word Problem Leading To Quadratic Equation.The general formula for quadratic equation in a in standard form is
a\(x^{2}\) + bx + c = 0
Given that the difference between two integers is 8
Let the two integers = x and y,
and their product is 65. If the larger of the two numbers is x. Then,
x - y = 8 and xy = 65
Since we are looking for the value of x, make y the subject of formula in the first equation.
y = x - 8
Substitute y in the second equation.
x(x - 8) = 65
\(x^{2}\) - 8x - 65 = 0
\(x^{2}\) - 13x + 5x - 65 = 0
(x - 13)(x + 5) = 0
x = 13 or -5
We will ignore -5 since x is the larger number.
To get y Substitute x in the second equation.
xy = 65
13y = 65
y = 65/13
y = 5
Therefore, a quadratic equation in standard form that can be used to determine the value of x is \(x^{2}\) - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5) and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5
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ameson has the following sources of income: Sole proprietorship income $40,000 General partnership operating income $5,000 Interest income from general partnership $1,200 What is the amount of self-employment tax Jameson owes
Answers
Jameson's self-employment tax amount depends on the income from his sole proprietorship and general partnership. Self-employment tax is calculated based on the net earnings from self-employment, which include both sole proprietorship income and a portion of general partnership income.
To determine the self-employment tax owed by Jameson, he first needs to calculate his net earnings from self-employment. This is done by combining the income from his sole proprietorship ($40,000) and a portion of the general partnership operating income ($5,000).
Since Jameson is a general partner, he is subject to self-employment tax on his distributive share of the partnership income.
Assuming his distributive share is 50% (for illustrative purposes), his net earnings from self-employment would be $40,000
(sole proprietorship income) + $2,500 (50% of general partnership operating income) = $42,500.
Jameson would then apply the self-employment tax rate, which is currently 15.3% for the year 2021, to his net earnings from self-employment ($42,500) to calculate the amount of self-employment tax he owes.
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PLEASE HELP!!! I NEED TO TURN THI IN SOON !!!
Question and instructions in the image below!!!
Will mark brainliest if correct!!!
Answers
Answer:
Im pretty sure its the 3rd one
Step-by-step explanation:
I did this a while ago
Net Present Value (6 points total) The city of Corvallis is deciding whether or not to undertake a project to improve the quality of the city's drinking water. The project would require an immediate payment of $20,000 to install a new filtration system. This filtration system will require yearly maintenance costs of $1,000 after the initial period. The filtration system will be operational for 5 years. The benefits in first year are $500. At the end of year 2, the benefit received is $4000. For years 3, 4, and 5, the benefit received is $7,000. Assume that the discount rate is 6%. a. Write out the general mathematical formula you would use to determine the net present value (NPV) of this project. (2 points) b. Plug-in the appropriate numbers into the formula from above. You DO NOT need to calculate the answer, simply plug in the values in the appropriate places. (2 points) c. What criteria should the city use to decide if they should install the filtration system or not?
Answers
a. The formula for NPV is NPV = (Benefits - Costs) / (1 + Discount Rate)^n.
b. Plugging in the appropriate values, Benefits: $500 (Year 1), $4,000 (Year 2), and $7,000 (Years 3-5); Costs: $20,000 (initial payment), $1,000 (yearly maintenance from Year 2); Discount Rate: 6%.
c. The city should use a positive NPV as a criterion to decide whether to install the filtration system or not.
a. The general mathematical formula to determine the net present value (NPV) of this project is as follows:
NPV = (Benefits - Costs) / (1 + Discount Rate)^n
Where:
Benefits represent the cash inflows or benefits received from the project in each period.
Costs refer to the initial investment or cash outflows required to undertake the project.
Discount Rate is the rate used to discount future cash flows to their present value.
n represents the time period (year) when the cash flow occurs.
b. Plugging in the appropriate numbers into the formula:
Benefits: $500 in Year 1, $4,000 at the end of Year 2, and $7,000 for Years 3, 4, and 5.
Costs: Initial payment of $20,000 and yearly maintenance costs of $1,000 from Year 2 onwards.
Discount Rate: 6%.
n: 1 for Year 1, 2 for Year 2, and 3, 4, and 5 for Years 3, 4, and 5, respectively.
c. The city should use the criteria of positive net present value (NPV) to decide whether to install the filtration system or not. If the NPV is greater than zero, it indicates that the present value of the benefits exceeds the costs, suggesting that the project is financially favorable and would generate a positive return.
Conversely, if the NPV is negative, it implies that the costs outweigh the present value of the benefits, indicating a potential financial loss. Therefore, a positive NPV would indicate that the city should proceed with installing the filtration system, while a negative NPV would suggest not undertaking the project.
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Note this question belongs to the subject Business.
Consider an angle, and a circle centered at the angle's vertex. The circle's radius is 6 cm long and the angle subtends an arc that is 15.6 cm long. a. What is the angle's measure in radians? radians Preview b. A second circle is centered at the angle's vertex, and the circle's radius is 12 cm long. The subtended arc is how long in cm? (Draw a diagram to help you!) cm
Answers
The subtended arc for the second circle is 31.2 cm long.
Given a circle with a radius of 6 cm and a subtended arc of 15.6 cm, we can find the angle's measure in radians using the formula: angle (in radians) = arc length/radius. Plugging in the values, we get angle = 15.6 cm / 6 cm = 2.6 radians.
For the second circle with a radius of 12 cm, we can find the subtended arc length by rearranging the formula: arc length = angle (in radians) * radius. Using the angle of 2.6 radians, we get arc length = 2.6 radians * 12 cm = 31.2 cm. Therefore, the subtended arc for the second circle is 31.2 cm long.
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Last year, a company made a profit of x million dollars. This year, the company made an extra 10%
of profit compare to last year. Write the expression for the profit they made this year.
Answers
Answer:
1.1x
Step-by-step explanation:
Here's the answer, goodluck
Find this function after differentiating it 68 times:f(x) = sin (3x)
Answers
Given the function:
\(f(x)=\sin (3x)\)Let's find the function after differentiating it 68 times.
To differentiate, let's take the derivative.
First derivative:
\(\begin{gathered} f\text{'(x)= cos(}3x)\frac{d}{dx}(3x)_{} \\ \\ f^{\prime}(x)=3\cos (3x) \end{gathered}\)Second derivative:
Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:
\(\begin{gathered} f^{\doubleprime}(x)=3\frac{d}{dx}(\cos (3x)) \\ \\ f^{\doubleprime}(x)=3(-\sin (3x)\frac{d}{dx}(3x)) \\ \\ f^{\doubleprime}(x)=-3\sin (3x)(3\frac{d}{dx}(x)) \\ \\ f^{\doubleprime}(x)=-9\sin (3x)\frac{d}{dx}(x) \\ \\ f^{\doubleprime}(x)=-3^2\sin (3x) \end{gathered}\)After the second differentiation, we have -sin, , the same will be applicable to the 68th time.
Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.
\(f(x)=-3^{68}\sin (3x)\)Therefore, after differentiating the function 68 times, we have:
\(f(x)=-3^{68}\sin (3x)\)ANSWER:
\(f(x)=-3^{68}\sin (3x)\)