Step-by-step explanation:
the answer is in the above image
what is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10
Answer:
(10, 15)
Step-by-step explanation:
To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.
x-intercept occurs at y = 0
If y = 0
2(0)+3x =10
3x =10
x = 10/3
x = 1.33
y-intercept occurs at x = 0
If x = 0
2y+3(0) =10
2y =10
y = 10/2
y = 5
Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)
Hence the required coordinate is (10, 15)
One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.
On a coordinate plane, the point (3, 0.75) is plotted.
How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).
put it in the comments im out of answers
the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
How can he use the graph to find an equivalent ratio?He knows the relation:
3 cups of granola ⇒ 0.75 cups of raisins.
Assuming this is a proportional relation of the form:
y = k*x
Where k is a constant.
Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.
Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
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Any help to solve this one?
Answer:
Step-by-step explanation:
[tex]81^{1/2}[/tex]
[tex]3^4*{1/2}[/tex]
[tex]3^{4/2}[/tex]
[tex]3^{2}[/tex]
9
[tex]-16^{3/4}[/tex]
[tex](-2)^{4 *3/4}[/tex]
[tex](-2)^{12/4}[/tex]
[tex](-2)^{3}[/tex]
-8
There are 6 chef assistants and 2 servers. How many staff are working there?
Answer: 8
Step-by-step explanation:
are you in elementary school
Answer:
8 staff
Step-by-step explanation:
6 +2 = 8 There are 8 staff working there.
If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))
I need the answer to this question
Answer:
Option(A)
Step-by-step explanation:
y=4x+2
When you replace the value of x in the equation you get the value of y
Answer:
the answer is A since if we lay it out we will get y
-6=-2*4+2
2=0*4+2
6=1*4+2
find the solution to 8x^2 + 56x=0
Answer:
[tex]x = 0, - 7[/tex]
Step-by-step explanation:
[tex]8x^2 + 56x=0[/tex]
[tex]8x(x)+56x=0[/tex]
[tex]8x(x)+8x(7)=0[/tex]
[tex]8x(x+7)=0[/tex]
[tex]x=0 [/tex]
[tex]x+7=0[/tex]
[tex]x=−7[/tex]
Hope it is helpful...A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?
Someone please help
Answer:
Step-by-step explanation:
V = pi r^2 h
V = 187
pi = 3.14
r = 3
h = ?
187 = 3.14 * 3^2 * h
187 = 3.14 * 9 * h
187 = 28.26 * h
187 / 28.26 = h
h = 6.62
Answer:
The height of cylinder is 6.61 inches.
Step-by-step explanation:
Given that :- Volume of cylinder = 187 inches ³.Radius of cylinder, r = 3 inchesWe need to Find :-Height of cylinder , h Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinder. h is the height of cylinder.Solution :-Using Formula
Volume of cylinder = π × r ² × h
Substitute the values
187 inches ³ = π × ( 3 inches ) ² × h
Using π = 3.14
187 inches ³ = 3.14 × 9 inches ² × h
multiply
187 inches ³ = 28.26 inches ² × h
Divide , we get
187 inches ³ / 28.26 = h
6.61 inches = h
Therefore, The height of cylinder is 6.61 inches.
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
may u plz help me.....
Answer:
the 3 is in the hundredths place
Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths
Calculator
Problem
Find the area of the shape shown below.
Answer:
what shape?
you gotta give more lol
The position of an atom moving inside a cathode ray tube is given by the function f(t) = t^3− 4t^2 + 3t where t is in seconds and f(t) is in meters. Find the instantaneous velocity of the atom at t = 2.5 seconds. A. 1.75 m/sec. B. 2.48 m/sec. C. 3.27 m/sec. D. 4.12 m/sec.
Answer:
A
Step-by-step explanation:
The position of an atom moving inside a cathode ray tube is given by the function:
[tex]f(t)=t^3-4t^2+3t[/tex]
Where f(t) is in meters and t is in seconds.
And we want to determine its instantaneous velocity at t = 2.5 seconds.
The velocity function is the derivative of the position function. Thus, find the derivative of the function:
[tex]f'(t)=3t^2-8t+3[/tex]
Then the instantaneous velocity at t = 2.5 will be:
[tex]f'(2.5)=3(2.5)^2-8(2.5)+3=1.75\text{ m/sec}[/tex]
Our answer is A.
Answer:
Instantaneous Velocity:
[tex]\longrightarrow\:\rm v = \dfrac{dt}{dy}[/tex]
[tex]\longrightarrow\:\rm v = \dfrac{d}{dy}( {t}^{3} - 4 {t}^{2} + 3t) \\ [/tex]
[tex]\longrightarrow\:\rm v = 3 {t}^{3 - 1} - 2.4 {t}^{2 - 1} + 3[/tex]
[tex]\longrightarrow\:\rm v = 3 {t}^{2} - 8 t + 3[/tex]
[tex]\longrightarrow\:\rm v = 3 {(2.5)}^{2} - 8 (2.5)+ 3[/tex]
[tex]\longrightarrow\:\rm v = 3 \times 6.25 - 20+ 3[/tex]
[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]
[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]
[tex]\longrightarrow\:\bf v = 1.75 \: {ms}^{ - 1} [/tex]
write 0.824 as a fraction in the simplest form
If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
Richard and Braden are playing a game with a pair of dice. Richard needs a sum greater than 9 to win. What is his probability of winning on his next turn?
Answer:
5/12
Step-by-step explanation:
Notice that the in the throw of a pair of dice.
Sum No. of times Favorable outcome
8 5
9 4
10 3
11 2
12 1
And total otcome = 6×6 =36
There P ( richard win) = P(X≥8)
= (5+4+3+2+1)/36
=5/12
what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
What is the slope of the line shown below?
10
O A. 2
5
(3,6)
OB. 4
O c. -4
-5
10
15
5
(1,-2)
-5
O D. 2
-10
Answer:
B
Step-by-step explanation:
Slope Formula
6 - (-2) / 3 - 1
8 / 2 = 4
The slope of the graph is 4.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The coordinates from the graph are:
(1, -2), and (3, 6)
Now,
Slope.
= (6 -(-2)) / (3 - 1)
= (6 + 2) / 2
= 8/2
= 4
Thus,
The slope of the graph is 4.
Learn more about equation of a line here:
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Can someone please help me? You get points and it makes me happy.
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour?
A. $3.00
B. $6.00
C. $9.00
D. $12.00
No links or fake answers pls. Thanks for understanding.
Answer:
$6
Step-by-step explanation:
(x-3)+x=15
2x-3=15
2x=18
x=9
9-3=6
Melanie makes 6 and Carlita makes 9.
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
what is the algebraic expression of 3 divided by q please answer grade 6 way
Answer: 3/q
Step-by-step explanation:
4) A piece of hematite contains 70%
iron. If the hematite weighed 60g,
how much iron would there be?
6) A survey of 250 trees in a small
Answer:
42g
Step-by-step explanation:
70% of 60 = 42
Can someone please answer this
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6
Answer:
A
Step-by-step explanation:
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
Name this triangle by its sides and angles. This is a(n) ____________________ triangle.
a triangle with one right angle and three non-congruent sides
right triangle
Hope this helps! :)
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X and Y in the rectangle.
Thank you!m
Y = 20
X = 70
We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.
The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.
Answer:
Part 1
SE= 31.94
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes. out of 100 , 95 of the intervals will contain the true value of population mean u .
Step-by-step explanation:
Part 1
The standard error is calculated using the formula
SE = S/√n
where s is the standard deviation of the sample = $ 105.93
and n is the sample size= 11
Putting the values we get
SE= $ 105.93/ √11= 31.939
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
The z∝/2 value for 0.05 is ± 1.96
The 95 % confidence interval will be given by
x` ±z ∝/2 * s/√n
Putting the values
638.91 ± 1.96 * 31.94
638.91 ± 62.6006
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .
Or out of 100 , 95 of the intervals will contain the true value of population mean u.
Find the area of rectangle whose length is -3/7 and breadth is 16/3
Answer:
I'm gonna guess your length is positive and you made a typing mistake. If that's so....
Step-by-step explanation:
Area= length x breadth
=[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]
=[tex]\frac{16}{7}[/tex]
=2.29 [tex]unit^{2}[/tex]
Plz help me solve this
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0