Answer: A
Step-by-step explanation:
Dilations with a scale factor other than 1 change size, meaning that they preserve similarity, but not congruence.
Tony works as a tutor for $11 an hour and as a waiter for $13 an hour. this month he spent 106 hours at his 2 jobs. let “t” be the number of hours tony worked as a tutor this month. write an expression for the combined total dollar amount he earned this month.
Let's break down the expression for Tony's combined total earnings step by step.
First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.
Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).
To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:
Earnings = $11t + $13(106 - t)
This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).
What is the probability of rolling a dice and rolling a 5, then rolling it again and rolling an 6?
Answer:
1/6
Step-by-step explanation: Im going to guess the dice has 6 sides, rolling any number on that 1 dice would be a 1/6 chance. I hope this helps!
An elevator started on the first floor, went up 18 floors, then came down 11 floors and went back up 16.
1 + 18 - 11 + 16
1 - 18 - 11 + 16
1 + 18 + 11 - 16
1 - 18 + 11 - 16
Answer:
1+18-11+16
Step-by-step explanation:
if the elevator went up it will be plus but if the elevator came down it will be minus and then you will get 1+18 because it went up and then it go down 11 floor and it will be 1+18-11 and then it went up again 16 floor so the last answer will be 1+18-11+16
Solve the inequality
4x + 1 > 17
X > ?
Step-by-step explanation:
4x > 17
4x > 17 -1
4x > 16
x > 4
Megan went walking for 2 hours and walked at a steady pace of 3 mph.
The total distance covered by Megan after 2 hours is 6 miles
Recall :
Distance = speed × time
Time = 2 hours
Speed = 3 mph
To obtain the total distance covered by Megan, we take the product of Megan's speed and time
Hence,
Distance covered = 2 × 3 = 6 miles
Therefore, distance covered by Megan is 6 miles.
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What is an equation of the line that passes through the points (-8, 2) and
(-4,-3)?
Answer
Submit Answer
attempt 1 out of 2
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There are two features in the question to help you decide the approach; they are "line" and "parallel". Because it is a line, it will have a "slope"; and, because the lines are parallel, they will have the same slope. Therefore, 1. Find the slope of the known line (-3,-4) and (2,8), next 2. Assign that slope to the second line and then 3. use the slope and the point (-2,5) on the second (parallel) line to determine the second point on the unknown parallel line. Put simply: get the slope of the first line, which is the slope of the second line, then find the missing point for the second line.
Get the slope: slope = (y2-y1)/(x2-x1) = (8-(-4))/(2-(-3)) = 12/5
Set the slope equal to the unknown line having point (-2,5): (y2-y1)/(x2-x1)=(y2-5)/(x2-(-2) = 12/5
Solve both equations: y2 - 5 = 12, y2 = 18 and x2 + 2 = 5, x2 = 3 therefore the point is (3,18)
So the parallel line is (-2,5) (3,18). If you graph it, you will see it is parallel to (-3,-4) (2,8). I hope the helps.
I need you to the rescue
Answer:
E. 360
Step-by-step explanation:
We have two boxes of 6in by 6in,
and 4 with 12in by 6in, so we just multiply to find the area and add them up
6 x 6 = 36 x 2 = 72
12 x 6 = 72 x 4 = 288,
add them up and we get 360.
(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥
Answer:
E
Step-by-step explanation:
6*6= 36
There are two of these squares so 72
12*6= 72
there are four of these rectangles so 288
soooo......288+72= 360
so E
Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.
Answer:
Step-by-step explanation:
This is from PLATO
PACKAGING A juice manufacturer is creating new cylindrical packaging. The height of the cylinder is to be 3 inches longer than the radius of the can. The cylinder is to have a volume of 628 cubic inches. Use 3.14 for π.
The radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.
What is the volume of the cylinder?
If 'r' is the radius of the cylinder and 'h' is the height of the cylinder then the volume of the cylinder can be computed as
Volume = V = πr²h
Let's start by assigning variables to the information given in the problem:
Let r be the radius of the cylinder.
The height of the cylinder is 3 inches longer than the radius, so the height can be represented as h = r + 3.
The volume of the cylinder is given as 628 cubic inches, so we can use the formula for the volume of a cylinder to create an equation:
V = πr²h = 628
Now we can substitute h = r + 3 and π = 3.14 into the equation:
V = πr²h = 3.14r²(r + 3) = 628
Simplifying this expression, we can distribute the \(r^2\) term:
\(3.14r^2(r + 3) = 3.14r^3 + 9.42r^2\)
Now we can set this equal to 628 and solve for r:
\(3.14r^3 + 9.42r^2 - 628 = 0\)
solving this, we get
r = 7.4 inches
and height = 10.4 inches,
Therefore, the radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.
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A segment is connected to two sides of a triangle so that itnis parallel to the third side. Solve for x. A. 5 B. 4 C. 6 D. 9
The value of x in the angle is 56 degrees
How to detrmine the value of xFrom the question, we have the following parameters that can be used in our computation:
The figure
On the figure, we have teh following equation
64 + x + 60 = 130
The above is by the sum of angle theorem
So, we have
124 + x = 130
Evaluate the like terms
x = 6
Hence, the value of x is 6
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What is the common difference in the following sequence.
2, 5, 9, 14, ...
A.
There is no common difference in this sequence
B.
The common difference is 3.
C.
The common difference is 4.
D.
The common difference is 5.
Answer:
There is no common difference between each sequence.
Step-by-step explanation:
The difference between each number increases by 1 each time.
2+3=5
4+4=9
9+5=14
Therefore the next number is 20.
14+6=20
Hii student!
_________________________________________________
\(\multimap\parallel\boldsymbol{Answer.}\parallel\gets\)
there's no common difference in the sequence!
\(\multimap\parallel\boldsymbol{Explanation.}\parallel\gets\)
The common difference is the amount we add or subtract to obtain the next term. It should always be the same amount.
Since in this given sequence we add 3, then 4, then 5, there's no common difference in this sequence.
\(\maltese\boldsymbol{\therefore,\,option\;a\;is\,correct.}\)
Hope that this helped! Best wishes.
\(\textsl{Reach far. Aim high. Dream big.}\)
\(\boldsymbol{-Greetings!-}\)
_______________________________________
the region bounded by and is rotated about the line . using cylindrical shells, set up an integral for the volume of the resulting solid. the limits of integration are:
The volume generated by revolving this region around line x = 3 is 135/2 cubic unit.
Now,
y = 9−x² is an inverted parabola with vertex at (0,9)
It cuts positive x- axis at x = 3
In the region enclosed is rotated about x = 3
Considering the cut with a plane perpendicular to the y axis, we obtain a circular ring with interior radius 3−x and exterior radius 3.
Its area is \(\pi (3^2(3-x)^2)\)
Consider a disk of this area and this height dy. The sum of the volume of all these slices from y = 0 to y = 9 gives the desired volume. The summation is performed by integration.
\(V=\int\limits^9_0 {\pi (3^2(3-x)^2)} \, dx\)
and, y = 9-x²
⇒ dy = -2xdx, where the limits are from 0 to 9.
Now,
\(V=\int\limits^9_0 {\pi (3^2(3-x)^2)} \, (-2xdx)\)
⇒ \(\pi (4x^3-\frac{x^4}{2}\) ) limits are from 0 to 3
⇒ \(\pi (4.3^3-\frac{3^4}{2})\)
= 135/2 cubic unit.
Complete Question:
Consider the region enclosed by the curves y = 9 − x 2 , x = 0, y = 0 in first quadrant. What is the volume generated by revolving this region around line x = 3?
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I offer 10 points ok? :D
What is the appropriate description for a chain-style franchise? a.A franchisee makes or sells a franchisor's product under their own business name or organization. b. A franchisee sells a franchisor's product in a specific geographic area. c. A franchisee produces and sells a franchisor's product using the franchisor's name.
C. A chain-style franchise is a type of franchise where the franchisee produces and sells a franchisor's product using the franchisor's name.
The franchisee operates under the franchisor's established system and business model, including marketing strategies, training programs, and support services. This type of franchise is also known as a product distribution franchise because the franchisee distributes the franchisor's product to customers within a specified territory.
In a chain-style franchise, the franchisor maintains control over the quality and consistency of the product, while the franchisee is responsible for the day-to-day operations of the business. Examples of chain-style franchises include fast-food restaurants, gas stations, and retail stores.
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In the complex plane, the horizontal axis is called the real axis and the vertical axis is called the imaginary axis. The complex number a+b graphed in the complex plane is comparable to the point (a,b) graphed in the standard x,y coordinate plane. The modulus of the complex number a+b is given by Root a^2+b^2 . Which of the complex numbers z1, z2, z3, z4, z5 below has the greatest modulus ?
Step-by-step explanation:
You are correct. For every point, draw a line from the origin. The z1 point and origin has the biggest line, this has the greatest modulus.
What is the slope of the line that contains the points in the table
Answer:
The answer is A-4
Step-by-step explanation:
subtract 17 from 9
9-17=-8
Subtract 0 from -2
0--2=2
divide -8 by 2
-8÷2=-4
What is an equation of the line through (0,3) with slope 2/5? 1. -5x+2y=15. 2. -5x-2y=-15 3. 2x-5y=15 4. -2x+5y=15
Answer:
The answer is 3. 2x - 5y = 15
Step-by-step explanation:
HELP ME PLZ !!!!!!!!!!!!!!!!!!
3. Mrs. Mayuko paid $40.68 for 3 kg of shrimp. What's the cost of 1 kilogram of shrimp?
One number is six more than another number. The sum of their squares is 90.
brad was hang gliding at a constant velocity. he moved 395 meters Southeast in 31.6 seconds. what was his velocity
Answer: To calculate Brad's velocity, we can use the formula:
velocity = distance / time
where:
distance = 395 meters (the distance traveled)
time = 31.6 seconds (the time it took to travel that distance)
Plugging in the values into the formula, we get:
velocity = 395 meters / 31.6 seconds
velocity = 12.5 meters per second
So Brad's velocity was 12.5 meters per second in a southeast direction.
Step-by-step explanation:
A health organization collects data on hospitals in a large metropolitan area. The scatterplot shows the relationship between two variables the organization collected: the number of beds each hospital has available and the average number of days a patient stays in the hospital (mean length of stay).
A graph titled hospitals has number of beds on the x-axis, and mean length of stay (days) on the y-axis. Points increases in a line with positive slope.
Which statement best explains the relationship between the variables shown?
Hospitals with more beds cause longer lengths of stay.
The size of the hospital does not appear the have an influence on length of stay.
More complex medical cases are often taken by larger hospitals, which increases the lengths of stay for larger hospitals.
More complex medical cases are often taken by larger hospitals, which decreases the lengths of stay for larger hospitals.
ANSWER
More complex medical cases are often taken by larger hospitals, which increases the lengths of stay for larger hospitals.
The scatterplot shows a positive relationship between the number of beds a hospital has available and the average length of stay for patients at that hospital. This means that as the number of beds increases, the average length of stay also increases. This relationship is likely due to the fact that larger hospitals are more likely to take on more complex medical cases that require longer stays, whereas smaller hospitals may not have the resources or expertise to handle these cases. In other words, the size of the hospital (as represented by the number of beds) appears to be a factor that influences the length of stay for patients.
The statement that best explains the relationship between the variables shown is C. More complex medical cases are often taken by larger hospitals, which increases the lengths of stay for larger hospitals.
What is this scatterplot about?The scatterplot demonstrates a correlation between the average length of stay for patients at a hospital and the number of beds that hospital has available. This implies that the average length of stay increases along with the number of beds.
Larger hospitals are more likely to accept more complicated medical cases that call for longer stays, whereas smaller hospitals might not have the resources or expertise to handle these cases. This relationship is probably explained by the fact that larger hospitals are more likely to accept these cases. In other words, it appears that the size of the hospital (measured by the number of beds) affects how long patients stay.
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Complete question
A health organization collects data on hospitals in a large metropolitan area. The scatterplot shows the relationship between two variables the organization collected: the number of beds each hospital has available and the average number of days a patient stays in the hospital (mean length of stay).
A graph titled hospitals has number of beds on the x-axis, and mean length of stay (days) on the y-axis. Points increases in a line with positive slope.
Which statement best explains the relationship between the variables shown?
A. Hospitals with more beds cause longer lengths of stay.
B. The size of the hospital does not appear the have an influence on length of stay.
C. More complex medical cases are often taken by larger hospitals, which increases the lengths of stay for larger hospitals.
D. More complex medical cases are often taken by larger hospitals, which decreases the lengths of stay for larger hospitals.
two step equations -16 - 5x = -16
Answer:
-16 - 5x = -16
-5X=-16+16
-5X=0
X=5
Step-by-step explanation:
A state agency recorded the number of each type of flood that occurred in the state from 2016–2020. The results are as follows. If similar proportions of flood types are predicted for the following year, what is the estimated probability that a flood in 2021 in that state will be a river flood? Round your answer to the nearest percent. A. 7%B. 60%C. 20%
The table shows different flood types and their frequencies.
Total frequency of all flood types = 18 + 6 + 4 + 2 = 30
frequency of river flood = 6
Recall, probability is expressed as
number of favorable outcomes/number of total outcomes
Thus, the estimated probability that a flood in 2021 in that state will be a river flood is
6/30 = 0.2
By changing 0.2 to percentage, we have
0.2 x 100 = 20%
The correct option is C. 20%
Presented below are incomplete financial statements for Marta Communications, Inc. 2 3 Required: 4 Solve for the missing amounts. NOTE: When an amount on one financial statement is again shown on 5 another statement, you MUST reference the cell from the earlier statement rather than calculate the amount, thus 6 indicating the relationship between the two statements. MARTA COMMUNICATIONS, INC. 9 Income Statement 10 For the Month Ended March 31, 20X1 11 Sales Revenues $34,500 12 Expenses: 13 Rent Expense 2,600 14 Wages Expense 15 Utilities Expense 4,800 16 Income Tax Expense 800 17 Net income $4,100 MARTA COMMUNICATIONS. INC $0 Statement of Retained Earnings For the Month Ended March 31, 20X1 23 Retained Earnings, March 1, 20X1 24 Add: Net income Subtract: Dividends 26 Retained Earnings, March 31, 20X1 (500) MARTA COMMUNICATIONS, INC. Balance Sheet At March 31, 20X1 Liabilities $3,400 | Accounts payable Stockholders' Equity 2,300 Common stock 12,000 Retained earnings Total Liabilities and Stockholders' Equity 32 Assets 33 Cash 34 Accounts receivable 35 Office supplies 36 Land 37 Total Assets $6,800 14,000
The financial statements provided for Marta Communications, Inc. are incomplete, with missing amounts that need to be solved. The missing amounts include wages expense, dividends, and retained earnings.
By determining these values, the income statement, statement of retained earnings, and balance sheet can be accurately completed to reflect the financial position and performance of the company.
Wages Expense: The wages expense amount is missing from the income statement. To complete this, the specific value for wages expense needs to be provided. Once known, it can be inserted into the appropriate cell in the income statement.
Dividends: The dividends amount is missing from the statement of retained earnings. Dividends represent the portion of earnings distributed to shareholders. The exact value of dividends needs to be determined, and it should be subtracted from the retained earnings, March 1, 20X1, to calculate the retained earnings, March 31, 20X1.
Retained Earnings: The retained earnings value is shown as (500) in the statement of retained earnings, but the missing amount is needed to complete the calculation. Once the dividends amount is determined, it should be subtracted from the net income and added to the retained earnings, March 1, 20X1, to obtain the retained earnings, March 31, 20X1.
Balance Sheet: The balance sheet is missing the specific amounts for liabilities and stockholders' equity. The liabilities section is given as $3,400, but the breakdown between accounts payable and other liabilities is not provided. The stockholders' equity section is missing the common stock amount. These missing values need to be determined and filled in to complete the balance sheet.
By solving for the missing amounts, the financial statements for Marta Communications, Inc. can be accurately presented, providing a comprehensive view of the company's financial position and performance.
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Factor the expression. 10y+15+25y
Answer:
25y+15
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5(7y+3)
Step-by-step explanation:
malayalam note class 8 chapter 1
Answer:
pt2 hope it helps
Step-by-step explanation:
Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False
Answer: True
Step-by-step explanation:
We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer
Therefore if you add the 38 the 52 and the 90 you’ll get 180
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.
The angle of triangles ABC and XYZ is;
∠A= 180° -(90+52) = 38°
∠B= 90°
∠C=38°
∠X=38°
∠Y=90°
∠Z=180° -(90+38°) = 52°
∠B =∠Y=90°
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.
Hence, option A is correct.
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9, 18, 12, 9, 13, 22, 8, 23, 16, 17 What is the mode?
Answer:
9
Step-by-step explanation:
9, 18, 12, 9, 13, 22, 8, 23, 16, 17
Mode is the number that appears most often
Listing numbers in order from smallest to largest helps to see how many of each number
8,9,9, 12, 13,16,17 ,18, 22, 23,
We see the number 9 appears most often
Fill in the first box to identify each measurement as a DIAMETER, RADIUS, or CIRCUMFERENCE of a circular object.
Then, find the other two measurements for the circle.
Use 3.14 for π. Round to the nearest whole number.
The fence around a circular pool is 75 ft long.
RADIUS =
ft
DIAMETER =
ft
CIRCUMFERENCE =
ft
PLEASE HELP ME!!!!!