$17 is the final answer.
explanation: If you times $1.28 By 12.99 your answer is $16.63 and if you round it up to 2 decimal places it's $17 as $16 and 63 cent is closer to $17 than $16
In the 2019-20 season there were 529 registered players in the NBA
spread across the 30 NBA teams. 16.9% of those players were white. How
many non-white NBA players are there? Round your answer to the nearest
ten
Number of non white players will be the difference of the total players and the white players in the team.
Number of non-white NBA players in the team are 439.6
Key points to focus in the question,
Number of players = 529Number of teams = 30Percentage of white players = 16.9%Number of white players out of total number of players = 16.9% of 529 players
= \(\frac{529\times 16.9}{100}\)
= 89.401
≈ 89.4
Therefore, number of non-white players in the teams = Total number of players - Number of white players
= 529 - 89.4
= 439.6
Number of non-white NBA players = 439.6
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#5-10: Identify which line from the graph the following right triangles could lie on.
5.
120
90
6.
10
30
7.
24
18
8.14
21
9.
24
36
10.
16
48
1 2 3 4 5 6 7 8 9 10
Column A
Column B
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Answer:
Step-by-step explanation:
Line C is the answer for 6
Because if you draw a line from the top part (10) and go towards the right on the grid (30) then line C lines up
Answer:
Step-by-step explanation:
5-10: Identify which line from the graph the following right triangles could lie on.
PT2 To my last question!!!! please answer quickly
Answer:
3rd one
Step-by-step explanation:
Brainliest?
Please help I really need it I am in a timed test I will choose brainliest!
Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).
Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0
I think the answer is a.
Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.
\(-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b\)
Step 2: Now we write the equation in slope-intercept form.
\(y = -4x\)
Step 3: We can now change the above equation to standard form by moving variables to one side.
\(y = -4x\\\\4x + y = 0\)
Our answer is D. 4x + y = 0.
*Slope-intercept form: y = mx + b.
Express the limit as an integral. n lim § 176x732 – 2(x; 33)ax over [0, 4) ())] n00 i = 1 dx
The limit is expressed as the integral from 0 to 4 of [(176x/3)² - 2(x/3)³]dx using the definition of a Riemann sum.
To express the given limit as an integral, we can use the definition of a Riemann sum
\(\lim_{n \to \infty}\) ∑ i=1 to n [(176i/n)^2 - 2((i/3)^³) * (4/n)] * (4/n)
This can be simplified as
\(\lim_{n \to \infty}\) [(4/n) * ((176/3)² + (172/3)² + ... + (8/3)²) - (32/n) * ((1/3)³ + (2/3)³ + ... + (n/3)³)]
Taking the limit as n approaches infinity, this becomes:
∫₀⁴ [(176x/3)² - 2(x/3)³] dx
Therefore, the given limit can be expressed as the integral from 0 to 4 of [(176x/3)² - 2(x/3)³] dx.
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30 points! would really appreciate the help!
Answer:
Step-by-step explanation:
cos43=60/AC
AC=60/cos43=82.04
cos27=60/BC
BC=60/cos27=67.34
sin(90-43)/BC=sin(43+27)/AB
AB=BCsin70/sin47
AB=67.34sin70/sin47
AB=86.522
P=86.522+67.34+82.04
P=235.9m
Eileen just received her credit scores from the three major credit bureaus. Her Experian score is 824, her Equifax score is 840, and her TransUnion score is 832. What is the mode of Eileen’s credit scores? (Round to the nearest whole point, if necessary. ) a. 840 b. 832 c. 824 d. There is no mode in this group.
Mode is the most repeated number. None of the numbers is repeating, therefore, there is no mode in this group.
What is a mode?Mode is the number that repeats the most number of times in a given universal set.
Given to us
Experian score = 824,
Equifax score = 840,
TransUnion score = 832
As we have discussed mode is the number that repeats the most number of times in a given universal set. Since, between{824., 840, 832} none of the numbers is repeating, there is no mode in this group.
Hence, none of the numbers is repeating, therefore, there is no mode in this group.
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Answer:
✅ D. There is no mode in this group.i got it right⬇️
what is the slope of 9x -5y = 4
the general equation of a graph is given by
y = mx + c
where m= slope
c=intercept
the equation given is
9x-5y=4
make y subject of formula
9x-4=5y
5y=9x-4
divide through by 5
y=9/5x-4/5
comparing with the general equation
mx=9/5x
m=slope=9/5
Rewrite the following radical expression in rational exponent form.
(√x)^5
А. x2/5
B. x5/2
C. x^2/x^5
D. (1/x^2)^5
Answer:
Step-by-step explanation:
For clarity, you need to mark exponents with ^ and parentheses.
You would write the choices A and B as x^(2/5) and x^(5/2), respectively.
Answer:
x5/2
Step-by-step explanation:
Charlie invests $325 in an account that pays 8% simple interest for 15 years. Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions. How much interest will Charlie’s initial investment earn over the 15-year period? How much money does Charlie have after the 15 years?
PLZ HELP ASAP
Answer:
390 and 715
Step-by-step explanation:
Answer:
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.
How much interest will Charlie’s initial investment earn over the 15-year period?
✔ $390
How much money does Charlie have after the 15 years?
✔ $715
Step-by-step explanation:
11 Triangle HJK is similar to triangle LMN.
H
11.25 cm
7.5 cm
4.5 cm
K
6 cm
9 cm
Which proportion can be used to calculate the length of LM in centimeters?
A
7.5
11.25
LM
4.5
LM
B
6
7.5
С
11.25
LM
4.5
7.5
D
9
LM
6
4.5
The length of side LM in the triangle LMN is 6.75 cm.
Similar figuresTwo figures are said to be similar if they are of the same shape and the ratio of their corresponding sides are in the same proportion.
From the diagram:
LM / HJ = JK / MN
LM / 4.5 = 9 / 6
LM = 6.75 cm
The length of side LM in the triangle LMN is 6.75 cm.
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Answer:
9/6 = LM/4.5
Epxlanation:
I go to K-12 and I did the test
Write the equation of p(x) that transformations q(x) four units up and six units to the left.
() = ( − )^ +
The equation of p(x) after the translation four units up and six units left is given as follows:
q(x) = p(x + 6) + 4.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The equation of q(x) after the translation up is given as follows:
q(x) = p(x) + 4.
The equation of q(x) after the translation left is given as follows:
q(x) = p(x + 6) + 4.
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The population of town A in Devon is 30 000 compared to the total population in Devon of 1 200 000.
Write this proportion as a percentage.
Do not round your answer.
Answer:
.25%
Step-by-step explanation:
Answer: 2.5%
Step-by-step explanation:So, we see that 1,200,000 is the 100%. Now, 30,000 will be a precentage of that 100%. So, convert 30,000/1,200,000 to a percent of 2.5%. (this may not be exact but i think it is right)
Sheldon picks tomatoes from his garden. He picked 5 3/10 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten?
A. 4 8/10 kg.
B. 3 4/5 kg.
C. 3 5/10 kg.
D. 3 8/10. kg.
John Austen is evaluating a business opportunity to sell premium car wax at vintage car shows. The wax is sold in 64-ounce tubs. John can buy the premium wax at a wholesale cost of $30 per tub. He plans to sell the premium wax for $80 per tub. He estimates fixed costs such as travel costs, booth rental cost, and lodging to be $900 per car show. Read the 1. Determine the number of tubs John must sell per show to break even. 2. Assume John wants to earn a profit of $1,100 per show. a. Determine the sales volume in units necessary to earn the desired profit. b. Determine the sales volume in dollars necessary to earn the desired profit. c. Using the contribution margin format, prepare an income statement (condensed version) to confirm your answers to parts a and b. 3. Determine the margin of safety between the sales volume at the breakeven point and the sales volume required to earn the desired profit. Determine the margin of safety in both sales dollars, units, and as a percentage.
1. To determine the number of tubs John must sell per show to break even, we need to consider the fixed costs and the contribution margin per tub. The contribution margin is the difference between the selling price and the variable cost per tub.
In this case, the variable cost is the wholesale cost of $30 per tub. The contribution margin per tub is $80 - $30 = $50. To calculate the break-even point, we divide the fixed costs by the contribution margin per tub:
Break-even point = Fixed costs / Contribution margin per tub
Break-even point = $900 / $50 = 18 tubs
Therefore, John must sell at least 18 tubs per show to break even.
2a. To earn a profit of $1,100 per show, we need to determine the sales volume in units necessary. The desired profit is considered an additional fixed cost in this case. We add the desired profit to the fixed costs and divide by the contribution margin per tub:
Sales volume for desired profit = (Fixed costs + Desired profit) / Contribution margin per tub
Sales volume for desired profit = ($900 + $1,100) / $50 = 40 tubs
Therefore, John needs to sell 40 tubs per show to earn a profit of $1,100.
2b. To determine the sales volume in dollars necessary to earn the desired profit, we multiply the sales volume in units (40 tubs) by the selling price per tub ($80):
Sales volume in dollars for desired profit = Sales volume for desired profit * Selling price per tub
Sales volume in dollars for desired profit = 40 tubs * $80 = $3,200
Therefore, John needs to achieve sales of $3,200 to earn a profit of $1,100 per show.
c. Income Statement (condensed version):
Sales Revene: 40 tubs * $80 = $3,200
Variable Costs: 40 tubs * $30 = $1,200
Contribution Margin: Sales Revenue - Variable Costs = $3,200 - $1,200 = $2,000
Fixed Costs: $900
Operating Income: Contribution Margin - Fixed Costs = $2,000 - $900 = $1,100
The condensed income statement confirms the answers from parts a and b, showing that the desired profit of $1,100 is achieved by selling 40 tubs and generating sales of $3,200.
3. The margin of safety represents the difference between the actual sales volume and the breakeven sales volume.
Margin of safety in sales dollars = Actual Sales - Breakeven Sales = $3,200 - ($50 * 18) = $2,300
Margin of safety in units = Actual Sales Volume - Breakeven Sales Volume = 40 tubs - 18 tubs = 22 tubs
Margin of safety as a percentage = (Margin of Safety in Sales Dollars / Actual Sales) * 100
Margin of safety as a percentage = ($2,300 / $3,200) * 100 ≈ 71.88%
Therefore, the margin of safety is $2,300 in sales dollars, 22 tubs in units, and approximately 71.88% as a percentage.
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On a piece of paper graph y = 2x-4 then determine which answers
matches the graph you drew
The graph shown in the equation y = - 2x - 4 is the graph that corresponds to that equation. The answer is option (B).
What is graph?A data structure called a graph is used to show the mathematical connection between two or more objects. It is made up of nodes and edges, where nodes stand in for individual things and edges for the connections between them. In computer science, graphs are used to solve a variety of issues, including finding the shortest path between two points and figuring out whether a graph contains cycles. In addition, social networks, transportation networks, and many other kinds of networks can all be represented using graphs.
Option B's graph is the one that corresponds to the equation y = - 2x - 4.
The following is how the equation is written in slope-intercept form:
It is -2 degrees.
-4 is the intercept.
This shows that the slope of the graph is negative and that the trend line crosses the y axis at a negative four-degree angle.
The only graph with a negative slope and a -4 intercept is the one for option B.
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Complete question attached below,
Select the correct answer. consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. if one of the observed values is 176, what is the z score?
a. 3.36
b. -2.24
c. 2.24 d. -22.00
e. 22.00
2.245 is the z score.
What does the term "z-score" simply mean?
A z-score is a statistical indicator that indicates how far your datum is from the mean (or average) in a normally distributed sample.
(x - m) / s, where x is the actual score, m is the mean, and s is the standard deviation, is the formula for the z-score.
This time, the values are x = 176, m = 154, and s = 9.8.
Since 176 is 2.245 standard deviations above the mean, the z-score can be calculated as follows: z = (176 - 154) / 9.8 = 2.245.
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Answer:
Z Score is +2.24
Step-by-step explanation:
All will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $73.98 and costs an additional S0.09 per mille driven. Thesecond plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven, How many miles would All need to drive for the two plans to cost thesame?
350 miles
1) Let's set those two equations:
1st plan:
73.98+0.09x 0.09x because that 0.09 depends on how many miles are driven
2nd plan:
59.98 +0.13x 0.13x because that 0.13 depends on how many miles are driven
2) We need now to equate those two equations so that we can find out how many miles
73.98 +0.09x = 59.98+0.13x Subtract 0.09x from both sides
73.98 = 59.98 +0.13x -0.09x Subtract 59.98 from both sides
73.98 -59.98 = 0.04x
14= 0.04x Divide both sides by 0.04
x =350
3) Hence, driving 350 miles won't matter choosing the 1st or the 2nd plan.
1 (Express 360° into centesimal system.)
Answer: 400 gradians
Reason:
100 gradians = 90 degrees
4*100 gradians = 4*90 degrees
400 gradians = 360 degrees
Question 15 (15 marks). Let V and W be vector spaces and T:V→W be a linear map. (a) (5 marks) State carefully what it means for a list of vectors v 1
,…,v n
in V to be linearly independent. (b) (5 marks) State carefully what it means for T to be injective. (c) (5 marks) Suppose that T is injective. Prove that if v 1
,…,v n
is a linearly independent list in V then the list Tv 1
,…,Tv n
is linearly independent.
c) if T is injective and v₁, ..., vₙ is a linearly independent list in V, then the list Tv₁, ..., Tvₙ is linearly independent in W.
(a) A list of vectors v₁, ..., vₙ in a vector space V is said to be linearly independent if the only way to express the zero vector 0 as a linear combination of the vectors v₁, ..., vₙ is by setting all the coefficients to zero. In other words, there are no non-trivial solutions to the equation a₁v₁ + a₂v₂ + ... + aₙvₙ = 0, where a₁, a₂, ..., aₙ are scalars.
(b) A linear map T: V → W is said to be injective (or one-to-one) if distinct vectors in V are mapped to distinct vectors in W. In other words, for any two vectors u, v ∈ V, if T(u) = T(v), then u = v. Another way to express injectivity is that the kernel (null space) of T, denoted by Ker(T), contains only the zero vector: Ker(T) = {0}.
(c) Given that T is injective, we need to prove that if v₁, ..., vₙ is a linearly independent list in V, then the list Tv₁, ..., Tvₙ is linearly independent in W.
To prove this statement, we assume that a linear combination of Tv₁, ..., Tvₙ is equal to the zero vector in W:
c₁Tv₁ + c₂Tv₂ + ... + cₙTvₙ = 0
Since T is a linear map, it preserves scalar multiplication and vector addition. Thus, we can rewrite the above equation as:
T(c₁v₁ + c₂v₂ + ... + cₙvₙ) = 0
Now, since T is injective, the only way for the image of a vector to be the zero vector is when the vector itself is the zero vector:
c₁v₁ + c₂v₂ + ... + cₙvₙ = 0
Given that v₁, ..., vₙ is a linearly independent list in V, the only solution to the above equation is when all the coefficients c₁, c₂, ..., cₙ are zero. Therefore, we can conclude that the list Tv₁, ..., Tvₙ is linearly independent in W.
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Find the distance from the point to the given plane. (-9,3, 6), x - 2y - 4z = 8
The formula for finding the distance between a point and a plane is given. By substituting the given values into the formula, the distance between the point (-9, 3, 6) and the plane x - 2y - 4z = 8 is calculated as 47/√21 units.
To find the distance from a point to a plane, we need to use the formula:
Distance = |ax + by + cz + d| / √(a^2 + b^2 + c^2)
where (a, b, c) is the normal vector of the plane, and (x, y, z) are the coordinates of the point.
In this case, the normal vector of the plane x - 2y - 4z = 8 is (1, -2, -4), and
the coordinates of the point are (-9, 3, 6).
Substituting these values into the formula, we get:
distance = |1(-9) - 2(3) - 4(6) + 8| / √(1^2 + (-2)^2 + (-4)^2)
distance = |-9 - 6 - 24 + 8| / √21
distance = 47 / √21
Therefore, the distance from the point (-9, 3, 6) to the plane x - 2y - 4z = 8 is 47 / √21 units.
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Tori received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. If Tori purchases 1 pack of paper. How many notebooks is Tori able to purchase?
Answer:
5
Step-by-step explanation:
After buying the Paper Tori is left with $15.
Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.
Answer:
5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.
Step-by-step explanation:
Which expression is equivalent to 54× 3352× 3254× 3352× 32? Responses 56×3556×355 to the 6th power times 3 to the 5th power 757575 1751751 over 75 156 × 35
The expression that is equivalent to (5^4 × 3^3)(5^2× 3^2) is 5^6 × 3^5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equivalent expression?The expression is given as
54× 3352× 32
Rewrite the expression properly as follows
So, we have
(5^4 × 3^3)(5^2× 3^2)
Express as products
So, we have
(5^4 × 3^3)(5^2× 3^2) = 5^4 × 3^3 × 5^2× 3^2
Rewrite the common factors
So, we have
(5^4 × 3^3)(5^2× 3^2) = 5^4 × 5^2 × 3^3 × 3^2
Apply the law of indices
So, we have
(5^4 × 3^3)(5^2× 3^2) = 5^6 × 3^5
Hence, the expression that is equivalent to (5^4 × 3^3)(5^2× 3^2) is 5^6 × 3^5
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Suppose you are planning a ward party. Last year, there was a similar activity and 150 people attended. If the ward has grown by 9%, how many people do you expect will attend this year? (Round your answer to the nearest whole number.)
Answer:
164 people
Step-by-step explanation:
100% represents the 150 people who attended last year.
this year , there is an increase of 9% , which will make the total percentage to be 109%.
if ; 100% = 150 people
109% = ?
cross multiply to get 163.5 the round off to get 164
consider the quadratic function f(x) = −x^2 + 4x −1.
(a) Find the vertex form of f.
(b) What are the coordinates of the vertex?
(c) Find all real roots of f.
(a) The vertex form of the quadratic function f(x)=−x²+4x−1 is f(x)=−(x−2)² +3.
(b) The coordinates of the vertex are (2,3).
(c) The real roots of f can be found by solving the quadratic equation −x²+4x−1=0, which yields two real roots: x≈0.267 and x≈3.733.
(a) To find the vertex form of the quadratic function, we complete the square. We rewrite the function as f(x)=−(x²−4x)−1, and then add and subtract the square of half the coefficient of the linear term: f(x)=−(x²−4x+4)−1+4. Simplifying, we obtain f(x)=−(x−2)²+3, which is the vertex form.
(b) In the vertex form, the vertex of the parabola is given by the coordinates (h,k), where h and k are the values inside the parentheses. Therefore, the vertex of f is (2,3).
(c) To find the real roots of f, we set f(x)=−x²+4x−1 equal to zero and solve for x. This gives us the quadratic equation −x²+4x−1=0. Using the quadratic formula or factoring, we find two real roots: x≈0.267 and x≈3.733. These are the values of x where the graph of f intersects the x-axis.
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What type of angle is show
A right angle is 90 degrees, an obtuse angle is larger than 90 degrees and an acute angle is less than 90 Degrees.
The angle shown is smaller than 90 degrees so it is c. Acute
Kayla won 47 super bouncy balls playing hoops at her school's game night. Later, she gave two to each of her friends. She only has 7 remaining. How many friends does she have? Write an equation and then solve.
Answer: 20 friends
Step-by-step explanation:
47 - 7 = 40
40 ÷ 2 = 20
Just to double check, 2 x 20 = 40 + 7 balls left over = 47
I need some explanation on how to do piece wise functions? Where do I even start with this equation, can you explain this step by step? Including breaking down the graphing of absolute functions?
A piecewise function is basically a function that behaves differently at different domain intervals.
The given piecewise function is
\(\begin{cases}2x\quad \quad \quad \quad \quad \quad x\le3 \\ \frac{1}{3}x^2-2x+9\quad x>3\end{cases}\)As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.
The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.
Evaluate the piecewise function for the interval x is less than or equal to 3.
\(\begin{gathered} 2x \\ x=1\rightarrow2(1)=2 \\ x=2\rightarrow2(2)=4 \\ x=3\rightarrow2(3)=6 \end{gathered}\)Evaluate the piecewise function for the interval x is greater than 3.
\(\begin{gathered} \frac{1}{3}x^2-2x+9 \\ x=4\rightarrow\frac{1}{3}(4)^2-2(4)+9=6.33 \\ x=6\rightarrow\frac{1}{3}(6)^2-2(6)+9=9 \\ x=8\rightarrow\frac{1}{3}(8)^2-2(8)+9=14.33 \end{gathered}\)Now, let us graph these points
As you can see from the graph, it matches with the graph of the 2nd option.
Therefore, the correct graph of the given piecewise function is the 2nd graph.
What is the answer to -4x = 12
Steps to solve:
-4x = 12
~Divide -4 to both sides
x = -3
Best of Luck!
Answer:
x=-3
Step-by-step explanation:
-x=12/4
-x=3
×=-3