SOLUTION:
Questions involving arrangement is permutation, while questions involving selection is combination.
Since the given question involves arrangement, so the correct option is PERMUTATION.
The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.
[tex]^{13}P_5\text{ = 154,440 ways}[/tex]a water tank is to contain 2,000 liters of water it is constructed to be 4 meters long and 1.5 meters wide. find the height of the tank.
Remember that
1 m3=1,000 lt
2 m3=2,000 lt
The volume of the tank is equal to
V=L*W*H
we have
V=2 m3
L=4 m
W=1.5 m
H=?
substitute given values
2=4*1.5*H
solve for H
2=6H
H=2/6
H=1/3 mWhat is the equation in slope-intercept form of the line that passes through the point(4,-11) and is perpendicular to the line represented by y=4x-1?
Answer:
y = (-1/4)x - 10
Step-by-step explanation:
y = 4x - 1
y = -1/4x - 1
(4, -11),
(x₁, y₁)
y - y₁ = m(x - x₁)
y - (-11) = (-1/4)(x - 4)
y + 11 = (-1/4)x + 1
-11 -11
-------------------------------
y = (-1/4)x - 10
I hope this helps!
How to find x and y of these figures?
Image is attached
The value of x is 40 and the value of y is 25.
What is consecutive interior angles?
Pairs of angles that are between two lines and on the same side of the line that cuts through the two lines are referred to as consecutive internal angles. According to the theorem, if two lines are parallel, then successive interior angles are supplementary to one another.
Angles that add up to 180 degrees are referred to as supplementary angles.
As we know that the sum of three angles of triangle is 180 degrees.
So from the first figure we get,
2x + x + y + y + 10 = 180
3x + 2y = 170 ...(1)
From the second figure we get,
4x - y + x + 5 = 180 (Since they are consecutive interior angles)
5x - y = 175 ...(2)
After solving equation (1) and (2), we get
x = 40 and y = 25
There the value of x is 40 and the value of y is 25.
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Suppose demand, d, for a company’s product at cost, x, is predicted by the function ()=−.+,d of open x close equals negative , 0.25 , , x squared , plus , 1,000, and the price, p, that the company can charge for the product is given by ()=+. Find the company’s revenue function.
Enter your answer.
This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.
How to determine company's revenue function?Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):
Revenue = price × demand
R(x) = p(x) × d(x)
The demand (d) for this company’s product at cost (x) is given by this demand function:
d(x) = −0.25x² + 1,000
Also, the price (p) in dollars that this company can charge for its product is given by this price function:
p(x) = x + 16
Substituting the parameters into the revenue function, we have;
Revenue function, R(x) = p(x) × d(x)
Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)
Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.
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Complete Question:
Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.
(07.02 HC)
Barbara draws pens randomly from a box containing 5 pens of the same shape and size. There is 1 green pen, 3 red pens, and 1 blue pen. She draws 1 red pen and then
another red pen without replacing the first one. Find the probability of drawing 1 red pen followed by another red pen, and show the equation used.
Answer: She already got rid of two red pens, so there's one red pen left.
5-1=4-1=3. 1 red 1 blue 1 green. 100/3=33.3333333… so her chance of getting another red pen is 33.3333333333333333333333% and a 66.66666666666666666666% chance of not.
Step-by-step explanation
Write the expression 16x + 28 as a product using the GCF as one of the factors.
Please help.
Answer:
4(4x + 7)
Step-by-step explanation:
To answer this question you need to understand what GCF is
GCF is Greatest Common Factor
GCF is the highest number that divides exactly into two or more numbers.
The expression is 16x + 28
The highest number that can divide 16 and 28 is 4
Dividing 16x + 28 gives => 16x/4 + 28/4 => 4x + 7
So the factored expression is
4(4x + 7)
Convert the decimals below into fractions.
Use the symbol to represent the fraction bar. For example, you can expressas 2/3. Where necessary, express answers as improper fractions and in simplest
form.
0.25=
Type answer here. Be careful with spelling.
0.36
Type answer here. Be careful with spelling.
1.04 =
Type answer here. Be careful with spelling
Which function is the inverse of f(x) = 8x + 4?A. 5-18) = —841 – 4)B. 7-14x) = 554OC. 5-11%) = 8.1 – 4)OD. 1x) = -1
ANSWER:
[tex]f^{-1}(x)=\frac{x-4}{8}[/tex]STEP-BY-STEP EXPLANATION:
We have the following function:
[tex]f(x)=8x+4[/tex]We calculate the inverse function as follows:
[tex]\begin{gathered} x=8\cdot f^{-1}(x)+4 \\ 8\cdot f^{-1}(x)=x-4 \\ f^{-1}(x)=\frac{x-4}{8} \end{gathered}[/tex]Find p(-1) and p(2) for p(x)=4-3x
Answer:
p(-1) = 7
p(2) = -2
Step-by-step explanation:
We have p(x) = 4 - 3x
p(-1) = 4 - 3(-1) = 4 + 3 = 7
p(2) = 4 - 3(2) = 4 - 6 = -2
Solve the inequality and graph the solution on the line provided.
3x+17 _<41
Answer:
Given, 3x−2<2x+1
⇒3x−2x<1+2
⇒x<3orx∈(−∞,3)
The lines y=3x−2 and y=2x+1 both will intersect at x=3
Clearly, the dark line shows the solution of 3x−2<2x+1.
solution
Step-by-step explanation:
Alan, Betty, and Carol invested in a corporation in the ratio of 9:10:11 respectively. If they divide the profit of $67, 500 proportionally to their investment, how much will each receive?
Three people: Alan, Betty, Carol
Alan has 9 shares.
Betty has 10 shares.
Carol has 11 shares.
Therefore, there are a total of 9 + 10 + 11 = 30 shares.
Since the profit is $67,500, let's divide this one by the total number of shares.
[tex]\text{Profit per share}=\frac{67,500}{30}=2,250[/tex]The profit per share is $2,250.
Since Alan has 9 shares, let's multiply $2,250 to 9.
[tex]\text{Alan's share}=2,250\times9=20,250[/tex]Therefore, Alan's share must be $20,250.
Let's do the same with Betty and Carol.
[tex]\text{Betty's share}=2,250\times10=22,500[/tex][tex]\text{Carol's share}=2,250\times11=24,750[/tex]To summarize, Alan will receive $20,250, Betty will receive $22,500, and Carol will receive $24,750 from the proft
SAMANTHA HAS $27 TO RENT A BIKE FROM CYCLES RUS. SHE
HAS TO PAY A $IO FEE PLUS $2 FOR EVERY HOUR SHE HAS THE
BIKE. WRITE AND SOLVE AN INEQUALITY TO FIND THE
MAXIMUM NUMBER OF HOURS SAMANTHA CAN RENT THE BIKE.
Answer:
2 hours
Step-by-step explanation:
10+10= 20, so $20 fee
2+2= 4, so a fee for every hour she has the bike.
20+4= $24, so 2 hours maximum
If you tried adding another hour (which would be $12) that would equal $36 which is over her budget.
29 + 17w = 624
w =
Help
Answer:
w = 35
Step-by-step explanation:
To solve this problem, you will need to undo it in reverse order. The first thing done to w is to multiply it by 17 and then add 29 to it. You need to undo the addition of 29 with subtraction first.
624-28=595
Next, you need to undo the multiplication by 17 with division.
[tex]\frac{595}{17} =35[/tex]
Therefore, your answer is 35
I need help with math identify the vertex of the parabola
The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).
In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.
Then, we can write the coordinates of the vertex as (h,k) = (-1,3)
Answer: The coordinates of the vertex are (-1,3)
Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.
The image above represents a proof of the Pythagorean Theorem is image B.
What is Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle.
It states that the sum of the squares of the leg lengths equals the square of the hypotenuse length.
This is illustrated as:
a² = b² + c²
The values in image 2 will be used to ascertain this. Therefore,
5² + 12² = 13²
25 + 144 = 169
169 = 169
Therefore, B is correct as the value is gotten.
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Answer:
u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye
Step-by-step explanation:
A car can be rented for $95 per week plus $0.95 per mile. How many miles can be driven if you have at most $380 to spend for weekly transportation? The car should be driven ....... miles a week?
We have the next inequality
[tex]95+0.95x\le380[/tex]where x is the number of miles.
Then we solve the inequality
[tex]\begin{gathered} 0.95x<380-95 \\ \end{gathered}[/tex][tex]\begin{gathered} 0.95x\le285 \\ x\le\frac{285}{0.95} \\ x\le300 \end{gathered}[/tex]The car should be driven 300 miles a week
Find the equation of a line perpendicular to 4x+4y=32 that passes through the point (7,1)
The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .
In the question ,
it is given that
the required line is perpendicular to 4x + 4y =32
the slope of 4x + 4y =32
4y = -4x + 32
y = -x + 8
slope = -1
so the slope of the perpendicular line [tex]=[/tex] 1 .
the equation of the perpendicular line passing through (7,1) and slope as 1 is
(y - 1) [tex]=[/tex] 1 (x - 7)
y-1 = x-7
x - y = 7-1
x - y = 6
Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .
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if f(x)=2x+a what is the value of A satasfying f(2)=2
Answer:
-2
Step-by-step explanation:
Substitute x with 2 and y with 2
2 = 2 * 2 + a
2 = 4 + a
subtract 4 on both sides
2 = 4 + a
-4 -4
-2 = a
A plumber has a 2.5 metre long copper wire. he needs to cut lengths of 60cm, 35cm and 90cm work out how much of the initial 2.5 metre long pipe is left. give your answer in cm
By the concept of measurement of length we get the remaining length of the pipe 65 cm.
The total length of pipe before it was used by the plumber was 2.5 metre = (2.5 x 100)cm = 250cm.
Since,the plumber needs to cut lengths of 60cm, 35cm and 90cm
Thus,total Length of the pipe cut by the plumber = 60cm + 35cm + 90cm = 185cm
After subtracting the length of pipe used by the plumber from the original length of the pipe, we get,
The remaining length of the pipe = 250 - 185 = 65cm
Hence, the remaining length of the pipe is 65 cm.
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due in an hour pls help!!
Answer:
I think it's (4,5)
Step-by-step explanation:
Find the area of the figure. Use 3.14 for pi.
The graph of function f is shown. An exponential function on a coordinate plane passes through (minus 1, 7), (1, 2), (10, minus 1) and also intercepts the x-axis at 3 units and the y-axis at 4 units. Function g is represented by the table. x -1 0 1 2 3 g(x) 24 4 0 Which statement correctly compares the two functions? A. They have the same x- and y-intercepts. B. They have different x- and y-intercepts but the same end behavior as x approaches ∞. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
which of the statements are true of the residuals in a regression equation? multiple choice question. they measure the impact of firm-specific events. they are not part of regression analysis. they reflect systematic risk. they represent alpha.
The residuals in a regression equation measure the impact of firm-specific events.
Residuals = Actual y value - Predicted y value
Residual analysis is a helpful set of methods for assessing the quality of a fitted model. Checking the underlying assumptions is crucial because most linear regression estimators depend on independent errors with the same distribution and a correctly stated regression function in order to be consistent. Regression is a statistical technique used in finance, investing, and other fields that aim to ascertain the strength and nature of the relationship between a single dependent variable (often represented by Y) and a number of other factors (known as independent variables).
The residuals in a regression equation measure the impact of firm-specific events.
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PLEASE HELP!!!! Solve using the quadratic formula
Answer:
Step-by-step explanation:
Given Equation
3x^2 + x = - 2x - 7
Solution
Add 2x + 7 to both sides
3x^2 +x + 2x + 7 = -2x - 7 + 2x + 7 Combine like terms
3x^2 + 3x + 7 = 0
Givens
a = 3b = 3 c = 7x = (-b +/(√b^2 - 4ac))/2
x = (-3 +/- (√3^2 - 4(3 *7)) / 2*3
x = (- 3 +/- (9 - 84)) / 2 *3
x = (- 3 +/- √ (-75))/6
x = (- 3 +/- 8.660i ) / 6
x = -.5 +/-1.443i
Answer
x = -.5 + 1.443.i
x = -.5 - 1.443i
A one way train ticket in the city cost 1.85 a monthly pass cost 65$. For what number of rides should you buy the monthly pass?
Answer: 36 rides
Step-by-step explanation: Because is you divide 65 by 1.85 you get 35.13513513513514 so just round it to the next integer of 36.
Question 7 013 points Redo Which theorem is depicted by the figure and information shown below? R S Theorem? ZRAZT 2Qazs A) Opposite sides of parallelograms are congruent (Tm 16-A) B) Opposte angles in a parallelogram are congruent. (Tm 16-B) C) The sum of any consecutive angles within a parallelogram equals 180 (Tm 16-C) D) The diagonals of a parallelogram bisect each other (Tm 16-D) E) The diagonal of a parallelogram separates it into two congruent triangles (Tm 16-E)
Answer:
B. Opposite angles in a parallelogram are congruent.
Explanation:
The figure shows a parallelogram. In this parallelogram, ∠R and ∠T are opposite angles and ∠Q and ∠S are opposite angles.
Since the information says that ∠R is congruent to ∠T and ∠Q is congruent to ∠S, the theorem is opposite angles in a parallelogram are congruent.
So, the answer is B. Opposite angles in a parallelogram are congruent.
What is the answer for this as the y- intercept of two points? (-6,-5) and (-4,-4)
The slope intercept form of the equation that passes through (-6, -5) and (-4, -4) is y = 1 / 2x - 2
How to represent equation in slope intercept form?The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the slope of the lines using (-6, -5) and (-4, -4).
m = y₂ - y₁ / x₂ - x₁
m = -4 + 5 / -4 + 6
m = 1 / 2
Therefore, lets find the y-intercept using (-4, -4)
-4 = 1 / 2 (-4) + b
-4 = -2 + b
b = -4 + 2
b = -2
Therefore, y = 1 / 2x - 2
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The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2
What is slope intercept form?The equation in slope intercept form can be represented as :
y = MX + b
where m is the slope, b is the y-intercept
Therefore, to determine the slope of the lines using (-6, -5) and (-4, -4).
m = y₂ - y₁ / x₂ - x₁
m = -4 + 5 / -4 + 6
m = 1 / 2
Therefore, the y-intercept using (-4, -4)
-4 = 1 / 2 (-4) + b
-4 = -2 + b
b = -4 + 2
b = -2
Thus, y = 1 / 2x - 2
The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2
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the masses of 4 different animals from the zoo are shown in the table below. convert each measure to pounds. then sort the animals from least to greatest weight.
Animals: (mass kg)
brown bear: 272.16 kg
giraffe: 1,124.0 kg
lion: 226.8 kg
rhinoceros: 1,587.6 kg
1. When we convert each measurement to pounds, we have
Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 pounds2. When we arrange from least to greatest, we have
Lion, brown bear, giraffe, rhinoceros
1. How to convert kilogram to poundCoversion scale
1 kg = 2.20462
With the above scale, we can convert each measurement to pound as follow:
I. Brown bear
1 kg = 2.20462
Therefore,
272.16 Kg = 272.16 × 2.20462
272.16 Kg = 600 pounds
II. Giraffe
1 kg = 2.20462
Therefore,
1124.0 Kg = 1124.0 × 2.20462
1124.0 Kg = 2478 pounds
III. Lion
1 kg = 2.20462
Therefore,
226.8 Kg = 226.8 × 2.20462
226.8 Kg = 500 pounds
IV. Rhinoceros
1 kg = 2.20462
Therefore,
1587.6 Kg = 1587.6 × 2.20462
1587.6 Kg = 3500.1 pounds
2. How to arrange for least to greatest
Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 poundsThus, arranging from least to greatest, we have
Lion, brown bear, giraffe, rhinoceros
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The graphs of the fuctions f and g are shown below, find all values of x for which f(x) < g(x). 30 points!!!
Answer: [tex]-10 < x < 0, x > 12[/tex]
Step-by-step explanation:
[tex]f(x) < g(x)[/tex] when the graph of [tex]f(x)[/tex] is below the graph of [tex]g(x)[/tex].
Please only answer if you know the answer thank you.
Answer:
x = - 5;
y = 5;
Step-by-step explanation:
Identify the equation.
y = ( 2 / 3 )x + c;
Substitute a point.
5 = ( 2 / 3 )( - 2 ) + c;
5 = ( - 4 / 3 ) + c;
5 - ( - 4 / 3 ) = c;
5 + ( 4 / 3 ) = c;
19 / 3 = c;
y = ( 2 / 3 )x + ( 19 / 3 );
Substitute point A.
3 = ( 2 / 3 )x + ( 19 / 3 );
3 - ( 19 / 3 ) = ( 2 / 3 )x;
( 9 / 3 ) - ( 19 / 3 ) = ( 2 / 3 )x;
- ( 10 / 3 ) = ( 2 / 3 )x;
- ( 10 / 3 )( 3 / 2 ) = x;
( - 30 / 6 ) = x;
- 5 = x;
x = - 5;
Substitute point B. Use common sense and notice that point B is actually the same as the first point.
y = 5;
Answer:
x = -5
y = 5
Step-by-step explanation:
You could write the equation in the point slope form of a line
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])
Use the slope they gave us 2/3. Use the point they gave us for [tex]x_{1}[/tex] ( -2 ) and [tex]y_{1}[/tex] ( 5)
y -5 = 2/3(x - -2)
y - 5 = 2/3(x + 2) Plug in 3 for y to solve for x
3-5 = 2/3(x + 2)
-2 = 2/3x + 4/3 subtract 4/3 from both sides of the equation
-2 - 4/3 = 2/3x
[tex]\frac{-6}{3}[/tex] - [tex]\frac{4}{3}[/tex] = 2/3x
[tex]\frac{-10}{3}[/tex] = 2/3 x Multiply both sides by [tex]\frac{3}{2}[/tex]
([tex]\frac{3}{2}[/tex])[tex]\frac{-10}{3}[/tex] = ([tex]\frac{3}{2}[/tex])([tex]\frac{2}{3}[/tex]) x
-5 = x
substitute in -2 for x to solve for y
y - 5 = 2/3(x + 2)
y - 5 = 2/3(-2+2)
y - 5 = 2/3(0)
y - 5 = 0 Add 5 to both sides
y = 5
