The value of x, considering the similar triangles, is given as follows:
x = 24.2.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The similar triangles for this problem are given as follows:
QDC and BDR.
Hence the proportional relationship for the side lengths is given as follows:
39/68 = x/(x + 18)
Applying cross multiplication, the value of x is obtained as follows:
68x = 39(x + 18)
68x = 39x + 702
29x = 702
x = 702/29
x = 24.2.
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Simplify to a single power of 6:
Answer: 6^4
Step-by-step explanation:
You have 6^5 / 6 which is basically 6^5 / 6^1
When you are dividing exponents with the same base, you can subtract the exponent from each other.
When you do this, you get 6^4
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a
$7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to
keep the delivery fee plus the cost of the pizzas under $60.
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Let P represent the number of pizzas that Jacque buys.
1) Which inequality describes this scenario?
Choose 1 answer:
7.50 +14P < 60
B
7.50+ 14P > 60
14 + 7.50P < 60
D
14+ 7.50P > 60
Answer: A. 7.50 +14P < 60
Step-by-step explanation:
Let P represent the number of pizzas that Jacque buys.
Given, delivery fee =$7.50
Per pizza cost = $14
She wants to buy as many pizzas as she can, and she also needs to
keep the delivery fee plus the cost of the pizzas under $60.
i.e. (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60
i.e. 7.50 +14P<60
Required inequality : 7.50 +14P<60
Answer:
A. 7.50 +14P < 60 Answer: Jacque can only afford 24 slices of pizza
Step-by-step explanation:
read the picture plsssssssssss
An employee's salary for Atar services is $37500.Next tear she will get an 8% increase in salary. How much is her new salary. Plz help me its due in an hour and I will mark your answer as the brainliest.
Which expression is equivalent to c - 0.57c -0.08c
Answer:
0.35c
Step-by-step explanation:
Step 1: Write out expression
c - 0.57c - 0.08c
Step 2: Subtract
0.43c - 0.08c
Step 3: Subtract
0.35c
What is the perpendicular and parallel line of 8x + 5y=4
Answer:
Perpendicular: \(y = \frac{5}{8}x+4\)
Parallel: \(y=-\frac{8}{5} x+RandomNumberNot4\)
Step-by-step explanation:
I'm going to rewrite the equation:
\(y=-\frac{8}{5} x+\frac{4}{5}\)
Perpendicular means that the slope is the opposite reciprocal.
Slope = \(\frac{5}{8}\)
\(y = \frac{5}{8}x+4\)
Parallel means that the slope is the same but the y - intercept is different:
\(y=-\frac{8}{5} x+RandomNumberNot4\)
If a 2-year capital project has an internal rate of return factor equal to 1.69 and net annual cash flows of $42000, the initial capital investment was
a. $24852.
b. $49704.
c. $70980.
d. $35490.
The correct answer is option (a) $24,852.The initial capital investment for the 2-year capital project with an internal rate of return factor of 1.69 and net annual cash flows of $42,000 is $24,852.
The internal rate of return (IRR) is a measure used to evaluate the profitability of an investment. In this case, we know that the IRR factor is 1.69. The IRR factor is calculated by dividing the net present value (NPV) of the project by the initial capital investment. Since the IRR factor is given as 1.69, we can set up the equation: NPV / Initial capital investment = 1.69.
We also know that the net annual cash flows for the project are $42,000. The NPV can be calculated by multiplying the net annual cash flows by the IRR factor: NPV = Net annual cash flows × IRR factor. Plugging in the values, we get NPV = $42,000 × 1.69 = $70,980.
Now, we can rearrange the equation to solve for the initial capital investment: $70,980 / Initial capital investment = 1.69. Cross-multiplying and solving for the initial capital investment, we get: Initial capital investment = $70,980 / 1.69 = $24,852.
Therefore, the correct answer is option (a) $24,852.
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60% of the individuals in a population are vaccinated against a certain disease. During an epidemic it is known that 20% have contracted it and that 2 out of every 100 individuals are vaccinated and sick. Calculate the percentage of vaccinated among those who are sick.
The percentage of vaccinated individuals among those who are sick can be calculated as 9.09%.
Let's assume that the total population size is 1000 individuals. Given that 60% of the population is vaccinated, we have 600 vaccinated individuals. The percentage of individuals who have contracted the disease is 20%, which means there are 200 sick individuals in the population. Out of these sick individuals, 2 out of every 100 are vaccinated, which corresponds to 2% of the sick population being vaccinated.
To calculate the percentage of vaccinated among those who are sick, we divide the number of vaccinated sick individuals (2) by the total number of sick individuals (200) and multiply by 100. This gives us (2/200) * 100 = 1%. Therefore, the percentage of vaccinated individuals among those who are sick is 1%.
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whats 1+1 first answer i will vote brainlyest
Answer:
2
Step-by-step explanation:
Yessir
I don’t really understand this…
Steps:
Calculate MU/P
Compare MUx with MUy
Choose highest MU
Continue until you spend all of your money
Answer:
In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi-marginal utility tells us the way how a consumer maximizes his total utilit
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
Answer:
ok
Step-by-step explanation:
x:
X is adjacent to the 75 angle so x + 75 need to be 180.
180 - 75 = 105
x = 105
z:
Z is on opposite across outside corners from X so it will be the same thing.
z = 105
y:
Y is adjacent to Z so Y + Z must equal 180.
Z = 105
y + 105 = 180
y = 75
Hello, I need help with this problem not sure how to solve it. I've multiple times and seem to run into a dead end.
The proof of expression include:
cos (Θ-(3π)/2) = cos Θ cos(3π/2) + sin Θ sin(3π/2) [using the formula: cos(a-b) = cos(a)cos(b) + sin(a)sin(b)]cos(3π/2) = 0 and sin(3π/2) = -1, so the expression simplifies to: cos Θ (0) + sin Θ (-1) = -sin Θcos Θ (0) + sin Θ (-1)The simplified expression is -sin ΘWhat is the law of sine?The cosine law, also known as the law of cosines, is a trigonometric formula that relates the sides and angles of a triangle. It states that for any triangle with sides a, b, and c, and angles opposite those sides A, B, and C, the following equation holds true:
c² = a² + b² - 2ab cos(C) or a² = b² + c² - 2bc cos(A) or b² = a² + c² - 2ac cos(B)
These equations can be used to find the length of a side or the measure of an angle in a triangle if the lengths of the other sides and angles are known.
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Image transcribed:
Note: Type x in place of theta for any answers where you need the angle/variable, and type pi instead of using the symbol
cos (Θ-(3π)/2)=-sin Θ
Proof:
1. cos (Θ-(3π)/2)
2. Use the sum to product identity: cos Θ ________ + sin Θ ___________
3. Replace the values that you know in the function. (i.e. replace any specific angle values)
cos Θ ________ + sin Θ ___________
4. Simplify: __________
A building casts a 48 foot shadow on the ground. If you stand at the end of the shadow and look towards the building and the sun, the angle of elevation to the sun is 35.3º. Which expression can you use to find the height of the building?
Answer:
5643/494-6494_x error45H5Y09B9,Gn94365
Step-by-step explanation:
ERRORRRRR
Please help me with this problem
The variable for the number of wraps and the number of gift bags are x and y.
What are linear and non-linear functions?A linear function can be used to depict a straight line on the coordinate plane. The equation y = 3x - 2 serves as an illustration of a linear function since it represents a straight line in the coordinate plane.
Nonlinear functions are those whose graphs do not follow a straight line. A graph of it can be any curve other than a straight line.
A quadratic function is an illustration of a non-linear function.
Let, The number of wraps be 'x' and the number of gift bags be 'y'.
Therefore, From the given information x + y = 25 and 6x + 2y = 110.
Solving this linear system graphically we have an intersection (x, y)
at (15, 10).
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Calculate the average times it took the car to travel 0.25 and 0.50 meters. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
What is the average time it took the car to travel 0.25 meters?
2.23 secondsWhat is the average time it took the car to travel 0.50 meters?
3.13 secondsI hope is work you!!
(1) The first velocity of the car with two washers at the 0.25 meter mark is 0.125 m/s.
(2) The second velocity of the car with two washers at the 0.5 meter mark is 0.25 m/s.
What is velocity?Velocity is the rate of change of displacement with time. The velocity of the cars depends on displacement and time of motion.
First velocity of the car at the 0.25 meter markThe first velocity is calculated as follows;
v1 = 0.25 m / t1
let t₁ = 2 s
v₁ = 0.25/2
v₁ = 0.125 m/s
Second velocity of the car at the 0.5 meter markv2 = 0.25 m / (t2 – t1)
let t₂ = 3 s
v₂ = 0.25(3 - 2)
v₂ = 0.25 m/s
The complete question is below:
Calculate the first and second velocities of the car with two washers attached to the pulley, using the formulas
v1 = 0.25 m / t1, and
v2 = 0.25 m / (t2 – t1)
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The measure of ZB is (3x – 4) and the measure of
ZD is (2x - 6)". What are the measures of angles B
and D?
mZB=
mZD =
The measure of <B and <D are 110 degrees and 70 degrees
What is Circle geometry?The sum of the opposite angle of the quadrilateral within the circle is 360 degrees.
Given the following parameters
<B = 3x - 4
<D = 2x - 6
Equate both equations
<B + <D = 180
3x - 4 + 2x - 6 = 180
5x - 10 = 180
5x = 190
x = 190/5
x = 38
Determine the measure of <B and <D
<B = 3x - 4 = 3(38) - 4
<B = 110 degrees
<D = 2x - 6
<D = 2(38) - 6
<D = 76 - 6
<D = 70 degrees
Hence the measure of <B and <D are 110 degrees and 70 degrees
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Construct a data set that has the given statistics. N = 6 H = 8 0 = 3 What does the value N mean? OA. The mean of the population data. OB. The range of the population data.. OC. The number of values i
The one possible data set that meets the given criteria is 3, 3, 4, 7, 9, 10.
The value N in statistics represents the number of values in a data set. Thus, in the context of the given problem, N = 6 refers to the number of values in the data set that needs to be constructed.
The other given statistics in the problem are H = 8 and 0 = 3. However, it is not clear what exactly these values represent. We can assume that H is the highest value in the data set and 0 is the lowest value, in which case the range of the data set would be R = H - 0 = 8 - 3 = 5. But without more information, we cannot be sure about this.
Therefore, we construct a data set with N = 6 and values that satisfy the given statistics. Here's one possible data set that meets the given criteria: 3, 3, 4, 7, 9, 10.
Note that the values range from 3 to 10, so the range of this data set is R = 10 - 3 = 7, not 5. This shows that we cannot assume the given values to represent the range of the data set.
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Construct a data set that has the given statistics. N = 6 H = 8 0 = 3 What does the value N mean? OA. The mean of the population data. OB. The range of the population data.. OC. The number of values in the population data set. OD. The difference between all the values in the population data set. www
Find the slope of the line
Answer:
Slope is 1
Step-by-step explanation:
If you follow rise over run you can see you go up one and over to the left one making it 1/1 which is 1
Hope this helps
The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.
Answer:
false
Step-by-step explanation:
there is no graph...
Which of the following would have a logarithmic Big O run-time complexity? Given a set of keys and a set of locks find which keys open which locks Insert a value at the head of a LinkedList Find the name of a person with a given phone number in a phone book Find an item in a binary search tree none of these
The operation with logarithmic Big O run-time complexity is finding an item in a binary search tree.
A logarithmic time complexity, denoted as O(log n), means that the runtime of an algorithm increases logarithmically with the size of the input. In the given options, the operation that exhibits logarithmic complexity is finding an item in a binary search tree.
A binary search tree (BST) is a data structure where each node has at most two children, and the values in the left subtree of a node are less than its value, while the values in the right subtree are greater. When searching for an item in a binary search tree, the algorithm starts at the root and compares the target value with the current node's value. Based on the comparison, it continues the search either in the left or right subtree, effectively reducing the search space by half at each step. This binary search process continues until the target item is found or the search reaches a leaf node.
Since the binary search tree divides the search space in half at each step, the time complexity of finding an item in a binary search tree is logarithmic, making it the correct choice with logarithmic Big O run-time complexity.
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is negative 1/5 least than negative 0.18
I need help with this it's urgent!
Oh shucks man, I'm sorry bout that
??????????????????????????
Answer:
Yes
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
A room is 14ft by 20ft. It needs to be painted. The ceiling is 8ft above the floor. There are two windows in the room, each one is 3ft by 4ft. The door is 2.5ft by 6.5ft.
From the given data of room ,ceiling , windows and door , the area of the four walls and ceiling to be painted is equal to 783.75 ft².
As given in the question,
Room is 14ft by 20 ft
Height of the room = 8ft
Two windows are of 3ft by 4ft
Door is 2.5ft by 6.5ft
Area of the four walls = 2 (14 × 8) + 2(20×8)
= 224 +320
= 544ft²
Area of the ceiling = 14 × 20
= 280ft²
Area of two windows = 2(3×4)
=24ft²
Area of the door= 2.5 ×6.5
=16.25ft²
Total area to be painted = ( 544 + 280 -24-16.25 )
= 783.75 ft²
Therefore, the total area of the four walls and ceiling to be painted is equal to 783.75 ft².
The complete question is :
A room is 14ft by 20ft. It needs to be painted. The ceiling is 8ft above the floor. There are two windows in the room, each one is 3ft by 4ft. The door is 2.5ft by 6.5ft.
a. find the total area of the four walls and ceiling to be painted?
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A blueprint is 1" 12'. The width of a building is 48'. What is the width of the building on the blueprint?
The width on the blueprint is 4 inches.
What is the width of the building on the blueprint?The blueprint is a scale drawing of the building.
A scale drawing is a reduced form in terms of dimensions of an original image / building / object.
The scale of a drawing is usually written in this format; length in the drawing, a colon, then the matching length on the original image.
For example of a scale is 1 inch 12 feet means that 1 inch of the blueprint represents 12 feet of the building.
Therefore, Width of the building on the blueprint = 48 / 12 = 4 inches
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"Same-sex marriage was legalized across Canada by the Civil Marriage Act enacted in 2005. Is this supported by a majority, or a minority, of the Canadian population? In an Ipsos Global poll conducted for t{Reuter News} in May 2013 of 1000 Canadians that asked whether legalization should stand or be repealed 63% supported legalization. Let pi denote the population proportion of Canadian adults who support legalization. For testing H0: pi = 0.50 against Ha: pi not = 0.50
a) Find the standard error and interpret.
b) Find the test statistic and interpret.
c) find the P-value, and interpret in context."
In 2013, an Ipsos Global poll conducted for Reuters News found that 63% of 1,000 Canadians supported the legalization of same-sex marriage, who support legalization is 50%, and the alternative hypothesis (Ha: pi not = 0.50) that suggests the population proportion is different from 50%.
a) The standard error measures the variability or uncertainty of the sample proportion compared to the true population proportion. It can be calculated as the square root of (pi * (1 - pi)) divided by the sample size. In this case, the standard error would be computed to estimate the proportion of Canadians who support same-sex marriage.
b) To test the hypothesis, we need to calculate the test statistic. The test statistic for this scenario is the z-score, which is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing it by the standard error. This provides a measure of how many standard errors the observed proportion differs from the hypothesized proportion.
c) By determining the test statistic, we can find the associated p-value. The p-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis. In this context, the p-value would indicate the strength of evidence against the claim that the population proportion is 50%.
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Which point is located at (5,-2)?
76
A
point A
point B
point C
B
5
4
3
1
7 999 999
3
4
5-6-7 X
D
PLEASE HELP!
In the coordinate axis the point D is located at the position of (5,-2) .
In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located
The coordinates of each point are :
A (-5,-2)
B (-2,5)
C (2,-5)
D (5,-2)
Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.
A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.
The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.
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James fenced his backyard the perimeter of his fences 20 feet and the width of his yard is 2 feet wide use the perimeter formula to find the length of his rectangular yard and inches P equals 2L plus 2W
Answer:
The length is 8 feet
Step-by-step explanation:
brainliest for correct answer
Answer:
m=14
n=32
p=64
Step-by-step explanation:
B=M, so 154=11m
m=154/11
m=14
E=P, so 118=n+86
n=118-86
n=32
A=L, so 116=180-p
p=180-116
p=64
There were 50 guests in a marriage ceremony. 30 were from the groom's family and 20 were from the brides's family. There's a tradition of giving hugs among the groom's family although there's no such traditions in the bride's family. They only shake hands. what's the number of total handshakes?
Note that the members from the bride's family will shake hands with the groom's family too.
Answer:
1020 handshakes including the bride and the groom. 980 excluding the groom and the bride.
Step-by-step explanation:
(20*19) twenty people on the brides side shake hands with the other 19 people (19 because you can't really shake your own hand).
+(20*30) twenty people on the brides side shake hand with 30 people on the grooms side.
+(20*2) twenty people on the brides side shake hands with the bride and the groom.
this equalssss......
1020!!!!
Since the grooms family does hugs instead of handshakes, you'd only calculate how many the brides side does.