Answers
Answer:
Scale factor of dilation is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\\\frac{QR}{Q'R'} = \frac{6}{2} \frac{QR}{Q'R'} = 3[/tex]
Cross multiplication gets:
QR = 3 * Q'R'
Q'R' = 1/3 * QR
So it's 1/3
Related Questions
In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 799 grams of copper. How many grams of zinc does it contain?
Answers
Answer:
let's see what to do buddy...
Step-by-step explanation:
[tex] \frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17} [/tex]
Multiply the sides of the equation by 799
[tex]zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141 [/tex]
So A jar of the chemical contains 141 grams of zinc.
And we're done.
Thanks for watching buddy good luck.
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The table lists several points that form a line on a coordinate plane.
x y
4 6
12 8
16 9
28 12
Based on the information in the table, what are the y-intercept and slope of the line described by these points?
Answers
The y-intercept and slope of the line described by these points will be y = (1/4)x + 5.
What is the equation of a line passing through two points?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
Taking only two points from the table will be (4, 6) and (12, 8). Then the equation of the line is given as,
(y - 6) = [(8 - 6) / (12 - 4)](x - 4)
y - 6 = 1/4(x - 4)
y - 6 = (1/4) x - 1
y = (1/4)x + 5
The y-intercept and slope of the line described by these points will be y = (1/4)x + 5.
More about the line passing through two points link is given below.
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Which of the following is an informal proof of the given conjecture? Conjecture: All squares are similar
Answers
Answer:
the last one, i just got 100%
Step-by-step explanation:
Option 4 : Square A has side lengths a₁ =3, a₂= 3 and Square B has side lengths b₁=6,b₂=6 Then show that the ratio of corresponding side length is equal: a₁ /a₂=b₁/b₂, 3/3=6/ 6 is the informal proof of the given conjecture.
What is informal proof?Informal proofs are used to proof a theorem in different methods of proving theorems and steps of the proof are not formally framed.
Mostly by taking a particular example a theorem is proved.
All square are similar.
This statement is true
∴ Option 1 is false
Option 2 is formal proof as sides of squares A and B are taken as variables x and y therefore this proof can be used for any pair of two squares
Option 3. is wrong proof as the two sides of square A and B are taken unequal but square has all four sides equal.
Option 4 is correct proof but it is not a formal one as a particular example is taken to proof with statement
Therefore option 4 is the correct option that show the informal proof of the given statement.
Also, learn more about Informal proofs from the link below:
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rewrite 8 1/2 as an improper fraction
Answers
Answer:
17/2
Step-by-step explanation:
8 × 2 = 16 adding 1 = 17
29 + 43 using mental math
Answers
Answer:
72
Best of luck
Step-by-step explanation:
when solving a uniform motion problem, how does drawing a diagram of the situation help you
Answers
Answer:
Uniform motion always travel in equal distances in equal intervals of time. So the graph will always be constant.
Once you draw the diagram of a uniform motion, when it comes to plotting points you can easily identify if the points go in a constant rate(uniform) or in uneven distances(non-uniform).
Solve 2x + 5y = −13
3x − 4y = −8
Answers
Answer: 100
Step-by-step explanation: 5+5+10+30-50+100
7. Jenny wants to buy some shoes. She found the shoes at the store for a 10 points
price of $35. The store is having a 15% off everything sale. How much
does Jenny pay for the shoes not including tax?*
$36.75
$40.25
$29.75
$5.25
had were nurnle. If there were 10 points
Answers
Answer:
Step-by-step explanation:
How do I make my question?
Answers
Answer:
x = 2 and x = 4
Step-by-step explanation:
The solution of the given equation is shown on the graph
There are two intercepts with coordinates of
(2, 2) and (4, -22)The x-coordinates are
x= 2 and x= 4Correct option is 3 or C.
Answer:
C
Step-by-step explanation:
On the graph, you can see that we are given two points; (2, 2) and (4, -22)
Since we are looking for the value of "x", we need the x value of the given points.
The x values in both points are 2 and 4. Thus are the solutions.
Best of Luck!
Someone help me please
Answers
Answer:
x=6.4
Step-by-step explanation:
4^2+5^2=x^2
x=6.40
An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 16 toaster ovens and calculate the average consumption to be 260 W. Answer the following questions:
a. Would you reject the Null at 1% level of significance?
b. Would you say the toaster oven consumes more than 250 W of power if you are willing to commit a Type 1 Error of 2.5%?
c. What is the cut-off Watts at 2.5% level of significance?
d. In reality, suppose the average power consumption is 265 W. What is the Type II error when Type I error is set at 2.5%?
e. What is the cut-off Watts at 1% level of significance?
f. In reality, suppose the average power consumption is 265 W. What is the Type II error when Type I error is set at 1%?
g. Based on these calculations, what happens to Type II error if Type I error is lowered?
h. Based on these calculations, what happens to Type I error if Type II error is increased?
Answers
Answer:
a. No the null hypothesis cannot be rejected at 1% level of significance as the calculated value of z= 2.222 which lies with in 2.333
b. Yes for the Type 1 Error of 2.5% we say the toaster oven consumes more than 250 W of power because the calculated value 2.22 lies outside the region for 1.96
c. The cut-off at 2.5% level of significance is 258.82 W.
d. 0.85 is the area for Type 2 error.
e. The cut-off at 1% level of significance is 260.485W.
f. 0.154 is the area for Type 2 Error
g. The Type 2 Error is increased when Type 1 Error is decreased.
h. The Type 1 Error is decreased when Type 2 Error is increased .
Step-by-step explanation:
The answer is attached.
Solve -5(-5m + 5) = -2m – 4
Answers
Answer:
m=7/9
Step-by-step explanation:
-5(-5m+5)=-2m-4
25m-25=-2m-4
25m+2m=-4+25
27m=21
÷ 27 ÷ 27 (divide both sides)
m=7/9 or .777 (infinite)
find the coordinate of the midpoint of the segment with the given endpoints -7 and 8
Answers
Answer:
The coordinate of the midpoint is 1/2
Step-by-step explanation:
Midpoint
The midpoint of a segment defined in a one-dimension system is
[tex]\displaystyle \bar x=\frac{x_1+x_2}{2}[/tex]
Where x1 and x2 are the coordinates of the points.
The given segment has endpoints x1=-7 and x2=8, thus:
[tex]\displaystyle \bar x=\frac{-7+8}{2}[/tex]
[tex]\displaystyle \bar x=\frac{1}{2}[/tex]
The coordinate of the midpoint is 1/2
1p
A man travelled by a car for 3 days. He covered 1080 km each day. He
drove the first day 10 hours at 108 km per hour, the second day 12 hours at
90 km per hour and third day 18 hours at 60 km per hour. What has his
average speed.
O 81 km per hour
O 80km per hour
O 83 km per hour
82 km per hour
Answers
Answer:
O 81 km per hour
Explanation
Given parameters:
Number of days traveled = 3 days
Distance covered on the first day = 1080km
Time of travel = 10hrs
Rate of travel = 108km/hr
Time of travel on second day = 12hrs
Rate of travel = 90km/hr
Time of travel on third day = 18hrs
Rate of travel = 60km/hr
Unknown
Average speed = ?
To find the average speed, we sum the distances and divide by the sum of the time.
Average speed = [tex]\frac{Total distance}{total time}[/tex]
we do not know the second and third distances;
Distance = speed x time
D2 = 90 x 12 = 1080km
D3 = 60 x 18 = 1080km
Now;
Average speed = [tex]\frac{1080 + 1080 + 1080 }{10 + 12 + 18 }[/tex]
Average speed = [tex]\frac{3240}{40}[/tex] = 81km/hr
The average speed is 81km/hr
Jon has 60,500 cars. He is a car dealer. 60% of the cars are green. How many cars are green?
Answers
Answer:
36300
Step-by-step explanation:
Answer:
The answer is 36,300.
Step-by-step explanation:
Okay, here's what we know, Jon has 60,500 cars and 60% of those cars are green. And what we are trying to figure out is how many cars are green.
So we need to convert the problem to an equation using the percentage formula: P% * C = G.
P stands for the percentage, C stands for the total number of cars, and G stands for the total number of green cars.
1. The percentage of green cars is 60% of all the cars. The variable C is 60,500, so the equation is 60% * 60,500 = G.
2. Convert 60% to a decimal by removing the percent sign and dividing by 100: 60/100 = 0.6.
3. Substitute 0.6 for 0.6% in the equation: 60% * 60,500 = G.
4. G becomes 0.6.
5. Do the math: 0.6 * 60,500 = 36,300.
6. G = 36,300.
So 60% of 60,500 is 36,300 and 36,300 cars are green
Let's double check our answer with the original question: What is 60% of 60,500?
Multiply 0.6 * 60,500 = 36,300
So yes, our answer is correct and Jon has 36,300 green cars.
Albuterol is used to calm bronchospasm. It has a biological half-life of 7 hours and is normally inhaled as a 1.25 mg dose. (Note: Use the concepts of half-life or doubling time. The biological half-life of a substance is the amount of time it takes for the physiologic or radiologic activity of that substance to reduce by half.)
Required:
a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.
b. How much albuterol is left in the body after 24 hours?
Answers
Answer:
a. N(t) = 1.25 (1/2)^t/7
b. 0.1160933038mg.
Step-by-step explanation:
The formula for half life =
N(t) = No(1/2)^t/t½
Where N(t) = Amount of Substance left
No = Initial amount not Substance
t = time after t years
t½ = Half life of the substance
From the question:
No = 1.25mg
t½ = 7 years
a. Find a model for the amount of albuterol left in the body t hours after an initial dose of 1.25 mg.
N(t) = No(1/2)^t/t½
No = 1.25mg
t½ = 7 years
N(t) = 1.25 (1/2)^t/7
b. How much albuterol is left in the body after 24 hours?
Using the model in the above question
N(t) = 1.25 (1/2)^t/7
N(t) = 1.25(1/2)^24/7
N(t) = 1.25(0.5)^3.4285714286
N(t) = 0.1160933038mg
Therefore, the quantity of albuterol left in the body after 24 hours is 0.1160933038mg.
Can u give me 6 and 7
Answers
Answer: if you need the relationship angle 6 and 7 are vertical angles
Step-by-step explanation:
John is splanting a garden. The width of the garden is 3 and 3/4 yard. The length of the garden is 4 1/2 yards. What is the area in square yards of the garden.
Answers
Answer:
tsuguduvidtdihuz4syh9h54f9i84g0u5d8hiztg9g6g
What’s the slope of 4,4 and 5,-4
Answers
Answer: -8
Step-by-step explanation: You do y2 which is -4 subtracted by y1 which is 4 over x2 which is 5 subtracted by x1 which is 4 and since the denominator is 1 it becomes just negative 8
Why is it important to know how to change dissimilar fractions to similar fractions especially in adding and subtracting fractions ?
Answers
Answer:
Fast, since we can't explicitly add or subtract them. This will lead us to an incorrect response.
Step-by-step explanation:
In this question we assume a value and solve its value which can be defined as follows:
Let the value:
[tex]\to \frac{3}{2}+\frac{4}{5}\\\\[/tex]
solve the above value by taking LCM that is equal to 10
[tex]\to \frac{15+ 8}{10}\\\\\to \frac{23}{10}[/tex]
answer this for a brainly thingy
Answers
Answer: c
Step-by-step explanation:
Answer:
what is the question being asked?
Step-by-step explanation:
What is the value of y in the equation 2(3y + 7 + 5) = 196 − 16?
Answers
Answer:
y = 26 I think lol
Step-by-step explanation:
2(3y + 7 + 5) = 196 - 16
196 - 16= 180
2(3y + 7 + 5) = 180
6y + 14 + 10 = 180
6y + 24 = 180
6y = 180 - 24 = 156
6y = 156
y = 156 divided by 5
y= 26
What is the value of the expression 2^2 + 8^2 ÷ 2^2?
8
10
17
20
Answers
68/4
17
therefore answer is C, 17.
Answer:
answer is 20
Step-by-step explanation:
2^(2) =4
8^(2) =64
2^2 =4
4+64-:4
64-:4=16
16+4=20
Examine the three graphs shown below. Which graphs have the same domain
Answers
Which problem would be best solved by dividing decimals?
Answers
Answer:C
Step-by-step explanation:
9. Higher Order Thinking Andy's team
scored a total of 10 goals in two games.
They scored 1 or 2 goals in the first
game. How many goals could they have
scored in the second game? Explain
how you know.
Answers
They scored either 8 or 9 goals in second game.
What is Addition?Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
As, Total goals = 10 in two games
Let x be the number of goals that a soccer team scored in the first half
and, y be the number of goals that a soccer team scored in the second half
So, x+ y = 10
x= 2 and y = 8
Thus, 2+ 8 = 10
Hence, They scored either 8 or 9 goals in second game.
Learn more about addition here:
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A triangle has sides measuring 5m2+3m−2, 5m2+3m−2, and8m2−4m+3. What is its perimeter? Question 5 options: 18m2−2m+3 18m2+2m−1 18m2+4m−1 18m2+10m+3
Answers
Answer:
Just add the sides
Step-by-step explanation:
I NEED HELP PLEASE!!!!!!!!!!
Perry wants to project a movie from his phone to a screen on the wall. The side
length of the screen is 56 in. The scale from the screen to the phone is 7 in. to 1 in.
What is the side length of Perry's phone? Show your work.
Answers
The side length of perry's phone will be 8 inches.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Perry who wants to project a movie from his phone to a screen on the wall. The side length of the screen is 56 in. The scale from the screen to the phone is 7 in. to 1 in.
Assume the side length of perry's phone be [x] inches. Then, we can write the proportion as -
56/x = 7/1
x = 56/7
x = 8
Therefore, the side length of perry's phone will be 8 inches.
To solve more questions on equation modelling, visit the link below-
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-3 1/5+(-6 1/2) please help quickly
Answers
Answer:
Exact Form:
-97/10
Decimal Form:
−9.7
Mixed Number Form:
-9 7/10
Answer:
i think that it is -9 7/10
Step-by-step explanation:
-3 1/5+(-6 1/2. 3+6=9 1/5+1/2=7/10. and that would make the final answer -9 7/10
. As the treasurer of her daughter’s Girl Scout troop, Laney collected money for some girls and adults to go to a 3-day camp. Each girl paid $75 and each adult paid $30. The total amount of money collected for camp was $765. If the number of girls is three times the number of adults, how many girls and how many adults paid for camp?
Answers
Answer: I believe it’s 3 adults and 9 girls.
Step-by-step explanation: