Answer:
2,160
Step-by-step explanation: since M is proportional to L^3 so when L=2 then L^3=8 so M=160 which means if L = 3
When L = 3, the value of M is 540. The relationship between M and L³ holds true.
When two variables, M and L, are directly proportional, it means that their ratio remains constant.
In this case, M is directly proportional to L³, which can be written as M = k × L³, where k is the constant of proportionality.
To find the value of k, we can use the given information when L = 2, and M = 160:
160 = k × 2³
160 = k × 8
k = 160 / 8
k = 20
Now that we have the value of k, we can find the value of M when L = 3:
M = 20 × 3³
M = 20 × 27
M = 540
So, when L = 3, the value of M is 540. The relationship between M and L³ holds true for any value of L when multiplied by the constant of proportionality k, which we found to be 20 in this case.
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At the us open tennis championship a statistician keeps track of every serve that a player hits during teh torunment. The statistcian reported that the mean serve speed of a particluar player was 101 miles per hour and teh standard deviation of the serve speeds was 11 mph. If nothing is known about the shape of distribution give an interval that will contain the speeds of at least eight ninths of the players serves
Answer:
68mph to 134 mph
Step-by-step explanation:
We apply
Chebyshev's Theorem States:
At least 3/4 or 75% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
At least 8/9 or 88.89% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Mean = 101 miles per hour
Standard deviation = 11 miles per hour
We are to give an interval that will contain the speeds of at least eight ninths of the players serves
Hence, we apply the rule
At least 8/9 or 88.89% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
μ - 3σ
= 101 - 3(11)
= 101 - 33
= 68 miles per hour
μ + 3σ.
= 101 + 3(11)
= 101 + 33
= 134 miles per hour
Therefore, the interval is 68mph to 134 mph
What is the total coast of a meal. The bill is $22.45, the sales taxes is 8.25% and you want to leave a tip of 20%.
Answer:
50.7
Step-by-step explanation:
HELPPP FOR BRAINELST RIGHT NOW PLEASE
Answer:
its 12
Step-by-step explanation:
F1= 12N F2 = 24 F3 = 12N and thats how u get 12 i think lol
how do you Calculate the area of a missing square.
Answer: Option D
Step-by-step explanation:
Hey there!
Here; Looking at it we can state that it is a Right angled triangle.
And must use the Pythagoras relation if the triangle is a Right angled triangle.
So, let's work on it.
Let ABC be a triangle.
Taking reference angle as C, we get;
perpendicular= 3m
Hypotenuse= 7m
Base = xm
Now;
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]or \: b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]
Put all values.
[tex]b = \sqrt{ {7}^{2} - {3}^{2} } [/tex]
Simplify to get answer.
[tex]b = \sqrt{49 - 9} [/tex]
[tex]b = \sqrt{40} [/tex]
Therefore, X= 6.3m.
Hope it helps...
Which expression contains three terms
and the product of a constant and a
variable?
A 3.7 x 6
C 3.7 + b = 5
B 3.7 - a
D 3.7 x 5b + a
Answer:
D) 3.7 × 5b + a
Step-by-step explanation:
It will be d because it contains three terms and the product of a constant and a variable
a furniture company currently produces 5800 chairs per month. If production decreases 5%, find the amount of the decrease and the new number of chairs produced each month.
Answer:amount of decrease 290 ;numbers of chairs 5510
Step-by-step explanation:
Stablish the proportion 5800/100%=x/5% then solve for x. ; x=(5%/100%)*5800 = 290 which is the decrease. Then make the difference 5800-290 and you get 5510
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The number of chairs decreased is 290.
The number of new chairs produced each month is 5510.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of chairs produce in a month = 5800
5% decrease in production:
= 5% of 5800
= 5/100 x 5800
= 5 x 58
= 290
The number of new chairs produced each month:
= 5800 - 290
= 5510
Thus,
The number of chairs decreased is 290.
The number of new chairs produced each month is 5510.
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joe was comparing sale prices of two stores at the mall to decide where to buy his new jeans. The two stores' sale banners are shown below.
If Joe plans to buy 1 pairs of jeans, which store offers a better deal after the discount
Answer:
I have answered this question before it is A on the paper
Can somebody help me out?
Answer:
13
Step-by-step explanation:
a²+b²=c²
(12)²+(5)²=c²
√12²+5²=√c²
13=c
Answer:
5^2+12^2=c^2
25+144=c^2
169=c^2
c=√169
c=13
Find the radius of sphere with a volume of 500π3 cubic feet.
Answer:
5cm
Step-by-step explanation:
76
34
х
Find the missing angle measures:
m ZX =
m ZY
m ZZ =
I need help finding why these triangles are congruent
Answer:
I would advise you ask a tutor because he or she may know better then me. I am so sorry
Six friends sat at a table for the ferry ride to Liberty Island. Javier sat between Lindsey
and Sue. Franco sat in seat 1. He is next to Pavi. Ellie is not beside Sue or Pavi. Solve
the problem to tell where the friends are sitting. Give two possible solutions.
I need one more solution ,
Answer:...
Step-by-step explanation:
-2p + 7= 11 i need a answer know pleas help me
Answer:
p= -3/2 or p= -1 1/2
Step-by-step explanation:
Answer:
p=-2
Step-by-step explanation:
first subtract 7 so: -2p+7-7=11-7 and ya get -2p=4
then, ya divide -2 from both sides, so: -2p/-2=4/-2
p=-2
Can you please help me with this!!
Btw you don’t need to help me with the first two questions I did those already
(Btw We’re supposed to complete the table l)
Answer:
The other one is 1 and the top number 6
Step-by-step explanation:
Heres why: the rest are indiosncrys and ploasery
Answer:
1.75² ------> Expanded form: 1.75 x 1.75 ------> Standard Form: 1.75²
= 3.0625
1/4³ ------> Expanded form: 1/4 x 1/4 x 1/4 or .25 x .25 x .25 ------> Standard Form: 1/4³ =0.015625
Step-by-step explanation:
Please tell me if I am wrong.
Hope this helps.
:]
Evaluate 4a2 when a =
1
6
Answer:
1/9
Step-by-step explanation:
You had to multiply 1/6 with its self so it would be 1/6x1/6 and that would equal 1/36 then you had to divide 4 by 1/36 and that would give you 1/9.100 BRAINLY POINTS!!!
There is a positive linear correlation between the annual income and the age of a person before retirement. Which scatter plot BEST represents this situation?
PLEASE HELP HURRY CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
A
Step-by-step explanation:
a set of points plotted on a horizontal and vertical axes
Please I need help ASAP
Answer:
i believe 9x
Step-by-step explanation:
Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant.
Plot a point at the location of the third vertex.
Answer: (1, 2)
Step-by-step explanation:
There are many possibilities for the third point in the first quadrant
The simplest case is drawing a line parallel to x axis from point A and drawing a line parallel to y axis from point B and see where they intersect
The two lines would be:
y=2, x=1
So the point of intersection is (1,2) and they intersect at right angle hence qualify as a third point
Therefore, one possible location for third point is (1,2)
Answer:
Point (1 , 2)
Step-by-step explanation:
AB will form the hypotenuse and this will be the vertex.
Which statement BEST describes why this set of ordered pairs is NOT a function?
{(1, 5),(2, 6),(3, 6),(4, 1),(4, 20),(5, 21),(6, 24)}
We have x = 4 repeating itself
If we graph the two points (4,1) and (4,20), then we see the relation fails the vertical line test.
The input x = 4 leads to more than one output y = 1 and y = 20 simultaneously.
This is why we don't have a function.
The given set does not represent the function as one value of [x] has two values of [y] in the coordinates -
(4, 1), (4, 20).
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation 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.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given are the coordinates as -
{(1, 5), (2, 6), (3, 6), (4, 1), (4, 20), (5, 21), (6, 24)}
The given set does not represent the function as one value of [x] has two values of [y] in the coordinates -
(4, 1), (4, 20).
Therefore, the given set does not represent the function as one value of [x] has two values of [y] in the coordinates -
(4, 1), (4, 20).
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Change a speed of 50 metres per second to a speed in kilometres per hour.
Answer:
180m/s
STEP BY STEP EXPLANATION:
1m/s = 3600/1000 km/h
50m/s = 3600/1000 * 50
= 36 * 5
= 180m/s
Which expression has the same meaning?
Answer:
m^4
Step-by-step explanation:
4*4=16
Please help quick!!!
Answer:
Step-by-step explanation:
It remains 1/6
because you replace it, it stays as 1/6
questions no b, e and f.
Step-by-step explanation:
b. 25 × 5^x-1 =5^3x-5
5² × 5^x-1 =5^3x-5
2+x-1=3x-5
1+5=2x
6=2x
x=3
e. t = (⅔)^-3 × (27/4)^-2
t= - (3×3×3/2×2×2) × (4×4/27×27)
t= -(27/4×2) ×(4×4/27×27)
t= -2/27
f. [(3/10)^-5 ÷ (3/10)^-3]^-1 × (10/3)^-2× 3⁰ = (3/10)^4x-20
(3/10)⁵ ÷ (3/10)³ × (3/10)²×1 = (3/10)^4x-20
(3/10)⁴=(3/10)^4x-20
4=4x-20
4x=24
x=6
Find the area of the figure.
square with sides of 5.7 ft
The area of the square is
ft2
Answer:
32.5 ft^2
Step-by-step explanation:
All sides of a square have the same length. Area would therefore be:
(5.7 ft)(5.7 ft) = 32.5 ft^2
What is the sum of the 2nd square number and the 4th cube number?
For which value of x does f(x) = 2
Answer:
x = -4Step-by-step explanation:
Look a the picture.
Draw the horizontal line y = 2.
Common point: (-4, 2).
Conclusion: f(x) = 2 → x = -4
From the graph at x = -4, then value of f(x) will be 2.
What is Graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
In the given graph, first we have to draw a line f(x)=2 i.e y=2
Draw the horizontal line y = 2.
We have to check where the horizontal line is meeting the line in graph.
Then we get a Common point at (-4, 2).
So x value is =-4 for f(x)=2 in the given graph.
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The cost, in dollars, of making x cups of lemonade is x+25. The predicted revenue is 12+2x dollars. Write a polynomial that represents the profit of selling x cups of lemonade. If you sold 20 cups of lemonade, will you make a profit? (yes or no)
Answer:
P = x - 13
Yes, you will make a profit
Step-by-step explanation:
Given;
cost of making x cups, C = x + 25
predicted revenue, R = 12 + 2x
Profit of selling x cups is given by;
P = R - C
P = (12 + 2x) - (x + 25)
P = 12 + 2x - x - 25
P = x - 13
When 20 cups of lemonade are sold, the profit made can be estimated using the profit function above;
P = x - 13
P = 20 - 13
P = 7
Thus, you will make a profit
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y=7
3.x – 3y = 15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by 1/3.
O C. Multiply the top equation by 3 and the bottom equation by 4.
D. Multiply the top equation by-3 and the bottom equation by 2.
4x – 2y=7
3x – 3y = 15
we want to keep y by eliminating the x
so we will Multiply the top equation by 3 and the bottom equation by 4.
we will get
12x - 6y = 21
12x - 12y = 60
we subtract the equations
12x - 6y - 12x - (-12y) = 21 - 60
6y = -39 and so on
Help its all in the picture
1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work.
Answer:
29.92 m² (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{Area of a sector}=\dfrac{\theta}{360\textdegree}\pi r^2[/tex]
[tex]\implies \textsf{area}=\dfrac{30}{360\textdegree}\pi \cdot 5.5^2=\dfrac{121}{48}\pi \textsf{ m}^2[/tex]
Area of rectangle = width × length
⇒ area = 4 × 5.5 = 22 m²
Total area = area of sector + area of rectangle
⇒ total area = [tex]\dfrac{121}{48}\pi +22[/tex] = 29.91943148... = 29.92 m² (nearest hundredth)
Answer:
29.92 m²
Step-by-step explanation:
i took the test