Answer:
9
Step-by-step explanation:
18/ 2= 9
In basketball,
some baskets are worth three points. In
one game, the ratio of three-point baskets
made to three-point attempts for one team
was 3:4. If the team scored 27 points from
three-point baskets, how many three-point
attempts did the team have?
Answer: 20
Step-by-step explanation:
The ratio is 3/4, or 0.75. The team scores 3-pt. baskets on 75% of shots taken. 27 x .75 = 20.25 (round to 20)
A company has determined that its profit for a product can be described by a linear function.
The profit from the production and sale of 150 units is $455, and the profit from
250 units is $895.
(i) What is the average rate of change of the profit for this product when
between 150 and 250 units are sold?
(ii) Write the equation of the profit function for this product.
(iii) How many units give break-even for this product?
(b) You are the CEO for a lightweight compasses manufacturer. The demand
function for the lightweight compasses is given by p = 40 − 4q
2where q
is the number of lightweight compasses produced in millions.It costs the company $15
to make a lightweight compass.
(i) Write an equation giving profit as a function of the number of lightweight compasses
produced.
(ii) At the moment the company produces 2 million lightweight compasses and makes a profit
of $18,000,000, but you would like to reduce production. What smaller number of
lightweight compasses could the company produce to yield the same profit?
Step-by-step explanation:
(a)(i) The average rate of change is:
(895 − 455) / (250 − 150)
4.4
(a)(ii) Since the profit is linear, the slope of the line is equal to the average rate of change. Using point-slope form:
y − 455 = 4.4 (x − 150)
Simplifying to slope-intercept form:
y − 455 = 4.4x − 660
y = 4.4x − 205
(a)(iii) The break-even point is when the profit is 0.
0 = 4.4x − 205
4.4x = 205
x = 46.6
(b)(i) The "demand function" is the selling pice of the compasses:
p = 40 − 4q²
where p is the price in dollars and q is the quantity in millions of units.
Profit is revenue minus cost.
P = R − C
P = pq − 15q
P = (p − 15) q
P = (25 − 4q²) q
P = 25q − 4q³
where P is the profit in millions of dollars and q is the quantity in millions of units.
(b)(ii) Find values of q when P = 18.
18 = 25q − 4q³
4q³ − 25q + 18 = 0
We know that q=2 is a root of this equation. Using grouping:
4q³ − 8q² + 8q² − 25q + 18 = 0
4q² (q − 2) + (q − 2) (8q − 9) = 0
(q − 2) (4q² + 8q − 9) = 0
4q² + 8q − 9 = 0
Solve with quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
q = [ -8 ± √(8² − 4(4)(-9)) ] / 2(4)
q = (-8 ± √208) / 8
q = (-8 ± 4√13) / 8
q = (-2 ± √13) / 2
Since q is positive, q = (-2 + √13) / 2, or approximately 0.803.
Express this number in scientific notation. 53,010,00053,010,000
Answer:
[tex]5.30100005301 * 10^{15}[/tex]
Find the distance and midpoint for the points (3,4) and (19, 16).
The distance is
The midpoint is a (, )
Given parameters:
Coordinates of the points = (3,4) and (19, 16)
Unknown:
The distance between the points = ?
The midpoint = ?
Solution:
The distance between two points can be mathematically solved using;
D = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
where x₁ = 3, x₂ = 19 and y₁ = 4, y₂ = 16
Input the parameters and solve;
D = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex] = 20
Midpoint;
The expression is given as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
input the parameters and solve;
= [tex]\frac{3 + 19}{2}[/tex] , [tex]\frac{4 + 16}{2}[/tex]
= 11 , 10
The midpoint is (11, 10)
What is the sum of 13 + (-8)?
-5
5
-21
21
Answer:
Step-by-step explanation:
5
how to write five hundred eight thousand in standard and expanded form?
Answer: Standard form would be 508,000 and Expanded form would be 500,000 + 8,000
Step-by-step explanation:
7th grade math help me plzzzz
Answer:
The bottom left option
Step-by-step explanation:
The answer is equal to 44.
Answer:
bottom left
Step-by-step explanation:
If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.
Below, match each of the four players with their respective z-scores for height.
a. Dustin
b. Byfugtien
c. Wilson
d. Crosby
1. A= 0.97
2. B= 0.48
3. C= -1.00
4. D= +1.46
This question is incomplete, the complete answer is;
If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.
Below, match each of the four players with their respective z-scores for height.
a. Dustin
b. Ferguson
c. Wilson
d. Crosby
1. A= 0.97
2. B= 0.48
3. C= -1.00
4. D= +1.46
Answer:
a. Dustin MATCHES 1. A= 0.97
b. Ferguson MATCHES 2. B= 0.48
c. Wilson MATCHES 4. D= +1.46
d. Crosby MATCHES 3. C= -1.00
Step-by-step explanation:
Given that;
their mean height u = 73.03
standard deviation α = 2.03
now the z-score height for each player;
a- Dustin Byfuglien (Winnipeg Jets) Height = 75
z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97
b- Dylan Ferguson (Vegas Golden Knights) Height = 74
z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48
- Tom Wilson (Washington Capitals) Height = 76
z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46
Sidney Crosby (Pittsburgh Penguins) Height = 71
z = (x - u) / α = (71 - 73.03) / 2.03 = -2.03 / 2.03 = - 1.00
Therefore
a. Dustin MATCHES 1. A= 0.97
b. Ferguson MATCHES 2. B= 0.48
c. Wilson MATCHES 4. D= +1.46
d. Crosby MATCHES 3. C= -1.00
volume of 29 mL and has a mass of 53 g what’s is the density
Answer: 1.82
Step-by-step explanation:
Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.
= 1.82
Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.
The requried volume of the pyramid is 64.9 cubic meters.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:
15.4 / 4 = 3.85
Therefore, the area of the base is:
A = (3.85)² = 14.8225 square meters
The volume of a pyramid is given by the formula:
V = (1/3) * A * h
where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:
V = (1/3) * 14.8225 * 13.1
V = 64.91925 cubic meters
Rounding to the nearest tenth of a cubic meter, we get:
V ≈ 64.9 cubic meters
Therefore, the volume of the pyramid is approximately 64.9 cubic meters.
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PLEASE HELP URGENT !! (What is the slope of the line on the graph?)
What is the slope of the line on the graph?
Answer:
2/6
1/3 simplified
Rise over run
choose any two points on the graph and do rise over run
Tim's holds a fishing line at the surface of a lake, and it sinks 10 feet below the surface of the water. Tim then pulls the lure up 4 feet.which of the following statements about this situation are true?select all that apply
Answer:
Where are the answers to choose from?
mZB = xo, what is the measure of a
supplement of LB?
9514 1404 393
Answer:
supplement of ∠B = 180° -x°
Step-by-step explanation:
The supplement of an angle is the difference between 180° and that angle.
supplement of ∠B = 180° - m∠B
supplement of ∠B = 180° -x°
help pleaseeeeeeee :$))$$$$
Answer:6
Step-by-step explanation: I don't really know how to explain this...
Answer:
6
Step-by-step explanation:
hi! absolute value is defined as the number of units away from zero on the number line. distance is always positive, so absolute value is always positive. therefore, the answer is 6 since you just take the negative sign away.
hope this helps!
+0
1. Sam has a rope that measures
(5 x 1/10) + (6 x 1/100) + (8 x 1/1000)
How can this measurement be written as a decimal?
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answer:
Step-by-step explanation:
5. What is the probability of rolling a 4 on a number
cube and pulling a red marble out of a bag that
contains 3 red, 2 black, and 5 yellow marbles?
The probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The probability of rolling a 4 on a number cube is 1/6, since there is one way to roll a 4 out of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of pulling a red marble out of the bag is 3/10, since there are three red marbles out of a total of ten marbles.
To find the probability of both events happening (rolling a 4 and pulling a red marble), we multiply the probabilities:
(1/6) x (3/10) = 1/20
Therefore, the probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.
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I need HELP class is about to start and I don’t know any of this
Answer:
I'm not sure, let me work it out.
Step-by-step explanation:
Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x
Answer:
the answer is Y=-x+5
Step-by-step explanation:
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Step-by-step explanation:
From the diagram, the figure is a rectangle.
Use the coordinate points to find the lengths of each side.
Side length AD = side length BC
Apply the Pythagoras relationship to find length BC as;
a² + b²= c² where a=2 cm and b = 4 cm and c =BC
2² + 4² = c²
4+16 = c²
20 = c²
c= √20 = 4.4721
Length BC = Length AD = 4.5 cm
Side length AB = Side length DC
Apply the Pythagoras relationship to find length DC as;
a² + b²= c² where a=6 cm and b = 3 cm and c =DC
6² + 3² =c²
36 + 9 = c²
45 = c²
√45 = c
c= 6.7082
c = DC = 6.7 cm
Now you have measurements of the rectangle as;
Length = 6.7 cm and width = 4.5 cm
The perimeter will be ;
P= 2{l +w} --------- where l is length and w is width and P is perimeter of the rectangle
P=2{6.7 + 4.5}
P=2{11.2}
P= 22.4 cm
The area will be ;
A= l*w
A= 6.7 * 4.5 = 30.15 = 30.2 cm²
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Answer:
its wrong
Step-by-step explanation:
the top angle is angle X, but the question is "which of the following congruence statements is true?
A. none of the above
B. XYZ = XZY
C. XYZ = YXZ
D. XYZ =ZYX
You are correct. The answer is choice B.
The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.
Can u help me asap please
Answer:
It is for sure a rational # , and whole #, but possibly also a natural#
Step-by-step explanation:
Simplify using the distributive property
Which number can be distributed across two terms inside parentheses
Answer:
3/5 is the number that can be distributed across two terms inside parentheses.
you might not need it but:
x = 5
Step-by-step explanation:
3/5(x - 10) = 18 - 4x - 1
using distributive property, open the parentheses:
3/5x - 6 = 18 - 4x - 1
Simplify:
3/5x + 4x = 17 + 6
4⅗x = 23
x = 5
Answer:
It's 3/5
Step-by-step explanation:
It's 3/5
What is the value of the question mark?
5/10=?/70
Answer:
35
Step-by-step explanation:
5/10 x 7 = 35/50
Answer:
35/70
Step-by-step explanation:
Solve using equivalent ratios.
Leila and Joe are two partners in a business. Leila makes $5 in profits for every $9 that
Jo makes. If Jo makes $36 profit on the first item they sell, how much profit does Leila
make?
Answer:
$20
Step-by-step explanation:
Leila to Jo: $5/$9
Leila to Jo: x/$36
5/9 = x/36
Cross multiply.
9x = 5 * 36
Divide both sides of the equation by 9.
x = 5 * 4
x = 20
Answer: $20
3+ a equals 17 when a equals four is this given value a solution of the equation or an quality?
mnbvcxAnswer:
Step-by-step explanation:dfghjmjnhgf
pls help i’m not sure how to do thhis
Answer:
I would say that shape E and A has symmetry.
Step-by-step explanation:
The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.
If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.
PLZ HELP
Explain how to multiply mixed numbers.
Step-by-step explanation:
Change each number to an improper fraction.
Simplify if possible.
Multiply the numerators and then the denominators.
Put answer in lowest terms.
Check to be sure the answer makes sense.
Use the system of equations and graphs below to complete the sentence.
Answer:
id say graph d solve it out and thats the only thing i got close to
Step-by-step explanation:
Answer:
it's the one in the top right(graph B), the soultion to graph b is (3,-1)
Step-by-step explanation:
Like the other answer says you solve it out, then you look at the intercepts and use the prosses of elimanation.
the top equation is: y= -1/2x -2.5
the bottom equation is: y= -1/5x -0.4
How are the different representations of a function used to determine
the relationship between the quantities?
Answer:
Step-by-step explanation:
A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
There are three ways in which representations of a function are used to determine are, algebraic, numerical, and graphical .
Given that,
To explain the way the representation of a function for the relationship between quantities.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
There are three ways in which the representations of a function are used to determine the relationship between the quantities,
(a) algebraic, (b) numerical, and (c) graphical.
Thus, there are three ways, algebraic, numerical, and graphical.
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