Answer:
Only one solution
Step-by-step explanation:
[tex] |r - 6| = 0 \\ r - 6 = \pm \: 0 \\ r - 6 = 0 \\ r = 6[/tex]
A pianist plans to play 7 pieces at a recital. In how many ways can she arrange these pieces in the program?
Answer:
5040
Step-by-step explanation:
7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1
HOPE THIS HELPS
Ashley works in accountant’s office and makes $45 per hour. She must pay $40 for daycare each day. If she wants to make more than $300 a day, at
Answer:
The answer is "8 hours"
Step-by-step explanation:
by the given value we create the equation that is:
[tex]\to 45x-40=300\\\\\to 45x=300+40\\\\\to 45x=340\\\\\to x=\frac{340}{45}\\\\\to x= 7.55\ \ hours \ or \ \ \ 8 \ hours[/tex]
What is the value of f(2)?
Question:
What is the equation?
how are T minus 4 and T plus 4 related?
Answer:
T will equal 4
Step-by-step explanation:
T-4=T-4
T+4=T+4
Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fractions for any numbers in the expression).
Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :
[tex]\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}[/tex]
Now , vector of magnitude 3 in direction v is :
[tex]r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)[/tex]
Hence , this is the required solution .
The vector of magnitude 3 in the direction of given vector is, [tex]\frac{30i-72k}{26}[/tex]
Unit vector :First we have to calculate unit vector of given vector.
Given vector, [tex]v=10i-24k[/tex]
Unit vector of vector v is,
[tex]v=\frac{10i-24k}{\sqrt{(10)^{2}+(24)^{2} } }\\ \\v=\frac{10i-24k}{\sqrt{100+576} }=\frac{10i-24k}{26}[/tex]
For vector have magnitude 3 is,
[tex]v=3(\frac{10i-24k}{26} )=\frac{30i-72k}{26}[/tex]
The vector of magnitude 3 in the direction of given vector is, [tex]\frac{30i-72k}{26}[/tex]
Learn more about the magnitude of vectors here :
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7. Compare the value of the 5 in 85,327 and 435.
Answer:
5 in the 85327= five thousand units
5 in the 435= five units
Step-by-step explanation:
85,327= eighty five thousand, three hundred and twenty seven
Value of five or the position if five in the above number is the thousand position
5 in the above = five thousand unit
435= four hundred and thirty five
The position of five in the above number is the unit position
Five in the above= five unit
equation
Be sure that your last entry is the solution to the equation
and in simplest form.
You do not need to use all rows of the table.
10x + 8 = 4x + (-4)
Enter equivalent equations below
Answer:
10x+8=4x+(-4).
10×+8=4x-4.
collect like terms.
10x-4x=-4-8.
6x=-12.
x=-12/6.
x=-2.
Twenty-three student compete in a math competition in which the top three studentsare recognized with trophies for first, second, and third place. How many different outcomes arethere for the top three places?
Answer:
10626 ways
Step-by-step explanation:
Given
Number of students = 23
Prizes = 3
Required
Number of different outcomes for the top 3
This question will be solved using permutation formula because it implies selection of 3 students from 23
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
Where n = 23 and r = 3
The formula becomes
[tex]^{23}P_3 = \frac{23!}{(23-3)!}[/tex]
[tex]^{23}P_3 = \frac{23!}{(20)!}[/tex]
[tex]^{23}P_3 = \frac{23!}{20!}[/tex]
[tex]^{23}P_3 = \frac{23 * 22 * 21 * 20!}{20!}[/tex]
[tex]^{23}P_3 = 23 * 22 * 21[/tex]
[tex]^{23}P_3 = 10626[/tex]
Hence, there are 10626 ways
Rachel tells Jonah that she can turn a square, but he won’t be able to tell that it was turned after she is finished turning it.
Please help with this question
the point-slope form of the equation that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x-12). what is the standard form of the equation for this line?
A) x-4y=8
B) x-4y=2
C) 4x-y=8
D) 4x-y=2
Answer:
A
Step-by-step explanation:
So we know that the point-slope form of the line that passes through the points (-4,-3) and (12,1) is:
[tex]y-1=\frac{1}{4}(x-12)[/tex]
And we want to convert this to standard form.
The standard form of a linear equation is:
[tex]Ax+By=C[/tex]
Where A, B, and C are integers, and, traditionally, A is positive.
So, first, multiply everything by 4 to remove the negative:
[tex]4(y-1)=4(\frac{1}{4}(x-12))[/tex]
Distribute the left. The right cancels:
[tex]4y-4=x-12[/tex]
Add 4 to both sides. The left cancels:
[tex]4y=x-8[/tex]
Subtract x from both sides:
[tex]-x+4y=-8[/tex]
As I mentioned previously, the coefficient of A tends to be positive. So, divide everything by -1:
[tex](-x+4y)/-1=(-8)/-1[/tex]
Simplify:
[tex]x-4y=8[/tex]
So, our answer is A
And we're done!
If youdivide3/4by4/7 which of the following will be your answer? A.3/7 B.7/11 C.1 5/6 D.2 1/3
Answer:
C) 1 5/16
Step-by-step explanation:
(3/4)/(4/7)=(3/4)(7/4)=21/16=1 5/16
1 point An old Honda Civic can go 351 miles on average before it runs out of gas. Its tank holds 11 gallons of gas. What is the car's mph? (miles per gallon) s
Answer:
32 miles per gallon
Step-by-step explanation:
351 divided by 11 = 31.90909090909090909090909090 e.t.c
Find the sum.
19+(-19)
19+(-19)=0
Step-by-step explanation:
So first lets simplify this. We can use the method keep,change, change to do this. Keep the value of positive 19. Then change the + sign to - and the - sign to plus which gets us
19-(+19).
We can remove the +since we know its positive leaving 19-19 which is 0
Which represents the solution set of the inequality 5x-9<21?
IA
oli olio
X26
X<6
Answer:
x < 6
Step-by-step explanation:
Given
5x - 9 < 21 ( add 9 to both sides )
5x < 30 ( divide both sides by 5 )
x < 6
Answer:
x < 6
Step-by-step explanation:
5x-9<21
Add 9 to each side
5x-9+9<21+9
5x < 30
Divide by 5
5x/5 < 30/5
x < 6
What is the conjugate of 5 - 4i?
Answer:
5 + 4i
Step-by-step explanation:
In general, the conjugate of a + bi is a - bi
Vertical Stretch of 2, up 12, left 7!!! :)
A farmer creates a maze with bales of hay. The data set below represents the number of minutes it takes children of various ages to complete the maze.
4,4,6, 11, 11, 12, 14, 14, 21, 21, 24, 26
Which of the following histograms correctly displays this data set?
The Histogram is attached blow.
What is Histogram?A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
Given:
Data: 4,4,6, 11, 11, 12, 14, 14, 21, 21, 24, 26
So, Interval Frequency
0- 5 4 , 4 (2)
5-10 6(1)
10- 15 11, 11, 12, 14, 14
15- 20 _
20- 25 21, 21, 24
25- 30 26
Hence, the Histogram is attached blow.
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What is the Absolute value of -6
Answer:6
Step-by-step explanation:
1
Solve: -1/2x+2=-x+7
Answer:
x=10
Step-by-step explanation:
Step 1: Add x to both sides
Step 2: Subtract 2 from both sides.
Step 3: Multiply both sides by 2.
Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a width 4 inches greater than its height
Answer: h(h-3)(h+4)
Step-by-step explanation:
To find the volume of rectangular-shaped box we will have to multiply the length by the width by the height.
Given the statements we can determine the length with the equation
L = h -3 where l is the length and h is the height.
the width can also be represent by the equation
w = h + 4
The height is is h and the length is h- 3 and the width is also h+4 so the expression will be h(h-3)(h+4)
37 points! Need this asap
Answer:
a. Point E
b Line AB
Step-by-step explanation:
The lines AB and CD will intersect at a point
The Point is Point E
Planes will intersect at a line
Planes X and Plane Y intersect at line AB
Answer:
a. point E
b. points A and B ( which is line AB )
Step-by-step explanation:
a. the intersection of AB and CD = point E
b. the intersection of plane X and Y = points A and B ( which is line AB )
WILL MARK BRAINLIST please help! Im stuck
Answer:
width = 5k²
length = 3k² + 7k + 4
Step-by-step explanation:
(see attached)
B. You are given nine stones which look and feel identical. One of them contains a valuable gem worth $250,000 and is actually slightly heavier than the other eight (but not enough to detect by lifting by hand). If you identify the gemstone it is yours to keep. You have a balance scale, (see diagram) which you can use exactly two times. Once you have used the scale twice you never get another opportunity. How can you be certain to find the stone contains the gem. (If you guess at any point you lose your chance to win the gem stone.)
Answer:
Separate the stones into 3 groups of 3.
Let's call each the three groups A, B, and C.
1) Place group A and group B on the two plates of the scale. There are two possible outcomes i) and ii) below:
i) The groups have different weights. A is heavier than B or B is heavier than A. Take the heavier group. Place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.
ii) Groups A and B have equal weights. The heavier stone in in group C. Using group C, place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.
Simplify the expression: 2(5 + 7c) need help
Answer:
10+14c
Step-by-step explanation:
You multiply every number inside the parenthesis by 2.
Answer:
10+14c
Step-by-step explanation:
Multiply two times what is in parentheses.
10+14c
Help please thank you
5. Topic 1 Independent Practice
Use the following set to answer the question.
{ (-2,1), (-1,0), (0,1), (1,2)}
True or false, this set is a function?
O True
O False
Plisss
Answer:
True
Step-by-step explanation:
This set is a function because every input value only has one output value.
Suppose $x$ and $y$ are integers such that $xy+5x+4y=-5$. Find the greatest possible value of $y$.
Answer:
10
Step-by-step explanation:
xy + 5x + 4y = -5
(x + 4) y + 5x = -5
(x + 4) y = -5x − 5
y = -5 (x + 1) / (x + 4)
For y to be large as possible, (x + 1) / (x + 4) must be negative. That means -4 < x < -1. So x is either -2 or -3.
The possible values of y are:
y = -5 (-2 + 1) / (-2 + 4) = 5/2 (not an integer).
y = -5 (-3 + 1) / (-3 + 4) = 10.
A rectangular box contains 198 cubic inches. If a similar box has the same width but triple the length and triple the height, how many cubic inches does this box contain? The similar box contains cubic inches.
Answer:
the volume of the 2nd box is 1200 cubic inches
Step-by-step explanation:
Answer:
198
Step-by-step explanation:
Let A and B be n-by-n matrices in R^n, and let c be a real number. Which of the following statements about trace is not necessarily true? a. tr(A+B) = tr(A) + tr(B) b. tr(AB) = tr(BA) c. tr(AB) = tr(A)tr(B) d. tr(CA) = ctr(A)
Answer:
c. tr(AB) = tr(A)tr(B)
Step-by-step explanation:
The trace of a matrix is only valid for a square matrix, that is a n by n matrix. The trace of a matrix is the sum of all its diagonal elements. The following properties of trace holds for a matrix A and B with size n by n and a real number c.
i) The trace sum of two matrix is equal to the sum of their individual traces. That is:
tr(A + B) = tr(A) + tr(B)
ii) The trace of the product of a scalar and a matrix is the same as the product of the scalar and the trace of the product, that is:
tr(cA) = ctr(A)
iii) The trace of a transpose of a matrix is equal to the trace of the matrix, that is:
[tex]tr(A^T)=tr(A)[/tex]
iv) The trace of a product of matrix is given as:
tr(AB) = tr(BA)
Answer:
c. tr(AB) = tr(A)tr(B)
Solve the inequality.
The solution is....
Answer:
Step-by-step explanation:
-x - 6 > 21 - 28x
27x - 6 > 21
27x > 27
x > 1