Answers
Answer:
Step-by-step explanation:
Lets understand how to solve the permutations.
Let the example is [tex]^{5}P_{2}[/tex].
[tex]^{5}P_{2}=\frac{5!}{(5-2)!}[/tex]
[tex]=\frac{5!}{3!}[/tex]
= [tex]\frac{5\times 4\times 3\times 2\times 1}{3\times 2\times 1}[/tex]
= [tex]\frac{5\times 4\times 3!}{3!}[/tex] [Since 3×2×1 = 3!]
= 20
Now we will solve the question given,
Number of ways Dave can put 7 cars together = [tex]^{23}P_{7}[/tex]
[tex]^{23}P_{7}=\frac{23!}{(23-7)!}[/tex]
[tex]=\frac{23!}{16!}[/tex]
[tex]=\frac{23\times 22\times 21\times 20\times 19\times 18\times 17\times 16!}{16!}[/tex]
[tex]=23\times 22\times 21\times 20\times 19\times 18\times 17[/tex]
[tex]=1235591280[/tex]
Related Questions
Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes?
Answers
Answer:
In the picture attached, the graph is shown.
Step-by-step explanation:
No options are provided, so I made the graph.
The equation V = 4 + 2t, is the equation of a line with slope = 2 and y-intercept = 4.
To make a graph, mark some points is helpful. The next points are included in the graph:
t V
0 4 + 2(0) = 4
1 4 + 2(1) = 6
2 4 + 2(2) = 8
3 4 + 2(3) = 10
4 4 + 2(4) = 12
5 4 + 2(5) = 14
6 4 + 2(6) = 16
Answer:
C
Step-by-step explanation:
Please help asap 20 pts for the correct answer with correct explanation!
Answers
So 7 x 6 = 42
Answer:
42
Answer:
42The rule is to multiply by 6.
[tex]-5 \times 6=-30\\0 \times 6=0\\7 \times 6=42[/tex]
What is the greatest common monomial factor of: 44k^5 - 66k^4 + 77k^3?
Answers
Answer:
11k^3 (4k^2 - 6k +7)
Hope this helps :)
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Answers
Answer:
D) 0
Step-by-step explanation:
In a ║gm, opposite sides are parallel and equal.
So,
RS = UT
=> x+5 = 2x+5
=> 2x-x = 5-5
=> 2x = 0
=> x = 0
Answer:
Step-by-step explanation:
i think 0
A taxi charges a $2 fee
Multiple choice please help
Answers
Answer:
d
Step-by-step explanation:
Let m = number of miles.
Each mile costs $2.35, so m miles cost 2.35m.
The flat fee is $2.
The total cost is
2.35m + 2
He can spend no more than $47, so he can spend $47 or less,
2.35m + 2 <= 47
Answer: d
Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
Answers
Answer:
d=6t
Step-by-step explanation:
Divide 72 by 12 to know how much distance is traveled in every second.
So he travels 6 meters every second
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answers
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
Calculate the
portion for walking
in degrees.
[?]°
Sport
Soccer
Jogging
Walking
Skiing
Football
Total
Hrs
5
20
10
5
10
50
10 hrs.
Total Sport Hours
Answers
Answer:
110
Step-by-step explanation:
Given the polynomial function below, find F(-9).
F(x) = -x2 - 10x-2
O A. -173
O B. -11
O C. 7
O D. 169
Answers
Answer:
C. 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = -x² - 10x - 2
F(-9) is x = -9
Step 2: Evaluate
Substitute: F(-9) = -(-9)² - 10(-9) - 2Exponents: F(-9) = -(81) + 90 - 2Simplify: F(-9) = -81 + 90 - 2Add: F(-9) = 9 - 2Subtract: F(-9) = 7Please answer if you know
5y^2 - 2 = 3y
Answers
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
Which is the inverse of the function f(x) = x2 − 4?
y = x2 − 4
Answers
Answer:
The inverse of f(x) is
y = x² - 4
x = y ² - 4
y² = x + 4
y = √x + 4
The inverse of the function is y = √x +4
Hope this helps.
Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?
Answers
Answer:
B. and D.
Step-by-step explanation:
We have that an equilateral triangle is a regular polygon, that is to say, it has its three equal sides.In traditional Euclidean geometry, the equilateral triangles are also equiangular, that is, the three interior angles are equal and measure 60 °. By symmetry of the equilateral triangle, we have to:
Any two equilateral triangles are similarly congruent, therefore:
B. Two segments that are both congruent to a third segment must be congruent to each other
and D. All of the radio of a circle are congruent, are the correct answers.
It's strawberry season, so Monica wants to make strawberry jam. She buys all of the strawberries left at her local town market for a total of $25.50. If the strawberries cost $4.25 per quart, how many quarts does she buy?
Answers
Answer:
6
Step-by-step explanation:
25.5/4.25= 6
Answer: 6
Step-by-step explanation:
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
Answers
A = 1, B = 4, C = 5
Step By Step Explanation:
9/11 divided by 5/11 =
9/5 (Exact Form)
1.8 (Decimal Form)
1 4/5 (Mixed Number Form)
B = 4
C = 5
Hope this helpes!!!
Given the figure below, find the values of x and z
Answers
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
SELECT ALL THAT APPLY
Which equations could you use to solve the following problem?
Seventy-eight is 55% of what number?
1. 78 = (0.55)w
2. p = (0.85)78
3. x/78 = 55/100
4. 78/x = 55/100
Answers
Answer:
The answer I THINK was the best is the fourth one !
Step-by-step explanation:
I think because before you calculate, you have To put 78 / with an x because you still don't know what is the number !
And after you have To equal this with 55/100 To know the answer !
I hope i helped you !
Answer:
the first one and last one.
Step-by-step explanation:
i had he same question!!! hope this helps
ray ML and MN are perpendicular. ray MP ia an angel bisector. find the value of x .
Answers
Answer: x = 15
Step-by-step explanation:
First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.
90 = 2x + 4x
90 = 6x
[tex]\frac{90}{6}[/tex] = [tex]\frac{6x}{6}[/tex]
15 = x
Therefore, the x is 15.
PLLSSSS HELP
Absolute value function with a slope of + 4/5 flipped over x-axis, moved 2 left and up 6. Can someone pls tell me how to write this formula?
Answers
Answer:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3:Solve for the unknown in both equations.
Step 4:Check your answer analytically or graphically.
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (-5, -7) and parallel to the line whose equation is y = - 4x + 4
Write an equation for the line in point-slope form.
Write an equation for the line in slope-intercept form.
Answers
Slope-Intercept Form is y = - 4x - 27
Parallel equations have the same slope. The point-slope formula is basically y minus the given y-coordinate of the ordered pair, set equal to the slope being distributed to x minus the given x-coordinate. (If that explanation was complicated, you can just google the formula.) In order to find the slope-intercept form, you can use the point slope form and plug in zero for x to find the y-value that would be your y-intercept.
For what values of the variables are the following expressions defined? 18/y
Answers
Answer:
y ≠ 0
Step-by-step explanation:
y ≠ 0
to determine a rational number, the denominator must not be zero.
The values of the variable 18/y are defined for all the values of y, such that y is the element of real numbers (R), y ≠ 0
What is a function?A function is defined as the relationship between a specific set of inputs assigned to one output each.
In order to determine if a function is defined, we need to determine the values that make the function undefined and eliminate it.
From the given information:
The value that makes 18/y undefined is any value that makes y = 0Therefore, we can conclude that 18/y is defined for all the values of y, such that y is the element of real numbers (R), y ≠ 0
Learn more about a function here:
https://brainly.com/question/10439235
#SPJ5
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU PLEASE D:
Answers
Answer:
[tex]30\%[/tex]
Step-by-step explanation:
There are 6 blocks shaded out of 20.
[tex]6/20=3/10=30\%[/tex]
30%
Explanation:
To solve this problem we must first count how many squares there are in the large rectangle.
There are 20 (twenty) squares in the large rectangle.
Now count how many squares are shaded orange.
There are six squares shaded orange.
Next, write the terms as a fraction.
number of orange squares/number of squares in total
6/20
Next, multiply the denominator by a number to equal one hundred.
6/20
6 • 5/20 • 5
30/100
Finally, turn the fraction into a percentage.
30/100 = 30%
Therefore, 30% represents the shaded area.
Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths
Answers
Answer:
Tangent B = eight-sixths
Step-by-step explanation:
Data
AB: 6 unitsAC: 8 unitsFrom tangent definition:
tan(β) = opposite/adjacent
where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.
In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:
tan(B) = AC/AB
tan(B) = 8/6
Answer:
B is the correct option here
Step-by-step explanation:
hope that this helps. Peace and love
Calculate the area of this trapezium
Answers
Answer:
72 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 6 , a = 15, b = 9 , thus
A = [tex]\frac{1}{2}[/tex] × 6 × (15 + 9) = 3 × 24 = 72 cm²
Answer:
= 72 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (9cm + 15cm)×6cm/2
= 24cm×3cm
= 72 cm²
The sum of all digits in the numbers 44, 45, and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
Answers
Answer:
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127
Step-by-step explanation:
The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 2 + 5 = 127
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.
The table below shows the average SAT math scores from 1993-2002
Year
1993
1994
1995
1996
1997
1998
1999
2000
SAT math scores
503
504
1506
508
1511
512
511
1514
Using the data from the table determine if there is a linear trend between the year and the average SAT math scores and
determine if there is an exact linear fit of the data. Describe the linear trend if there is one
a Positive linear trend an exact linear fit.
b. Positive linear trend, not an exact linear fit.
C Negative linear trend, not an exact linear fit
Answers
Answer:
Its B
Step-by-step explanation:
Based on the data from the table, there is a B. positive linear trend, not an exact linear fit.
What is a trend line?A trend line is also known as a line of best fit and it can be defined as a statistical tool which is commonly used in conjunction with a scatter plot, in order to determine whether or not there's any form of correlation (either positive or negative) between a given data.
Based on the data provided in the table above, we can infer and logically deduce that there is a positive linear trend, but not an exact linear fit.
Read more on trend line here: https://brainly.com/question/2589459
#SPJ2
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answers
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
can any one help. I'll mark brainliest
Answers
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Pls help don’t know how to do this one
Answers
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?
Answers
Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…
Step-by-step explanation:
What is the end behavior of the function f(x)=54x3? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞
Answers
Answer:
As x→∞, f(x)→∞ is correct, also As x→−∞, f(x)→−∞.
Step-by-step explanation:
This function is a simple modification of the basic function y = x^3, which goes to infinity in Quadrant I as x increases, and to negative infinity in Quadrant II as x decreases. As x→∞, f(x)→∞ is correct, also As x→−∞, f(x)→−∞.
The same end behavior applies to f(x) = 54x^3.