Different Question. Please explain your answer

Answer:

32 miles per gallon

Step-by-step explanation:

351 divided by 11 = 31.90909090909090909090909090 e.t.c

Answer:

In exponential form

3.2615 X 10¹

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]

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]

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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

Answer: 16

Step-by-step explanation:

The answer can be seen on the attachment that I have given.

The two equations that represent the remaining angle relationships are (x = 60 - 2(y + z)) and (x = 2z + 20) and this can be determined by using the given data.

Given :

The linear equation that represents the situation "The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles" is:

x = 60 - 2(y + z)  --- (1)

The linear equation that represents the situation "The largest angle is twice the smaller angle plus 20 degrees" is:

x = 2z + 20  --- (2)

Therefore, the correct option is A) and E).

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Answer:

True

Step-by-step explanation:

This set is a function because every input value only has one output value.

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!

Answer:

Square Root 34

Step-by-step explanation:

Answer:

[tex]\sqrt{34}[/tex]

Explanation:

sub in the values for x1, x2, y1 and y2

[tex]\sqrt{(-2-3)^2+(2-(-1))^2}[/tex]

subtract and evaluate

= [tex]\sqrt{(-5)^2+3^2}[/tex]

= [tex]\sqrt{25+9}[/tex]

= [tex]\sqrt{34}[/tex]

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

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Given}}}}}}[/tex]

It is a parrelogram

[tex]\huge\star{\underline{\mathtt{\red{To}\pink{f}\green{i}\blue{n}\purple{d}\orange{-:}}}}⋆[/tex]

X and Y

Solution

angle a = c. (opposite angles of 11gm is equal)

put the values of and c

x+45 = 3x-13

now take the variables to the l.H.S and number to R.H.S

x-3x = -13-45

-2x. = 58

x. = 58÷2

x. = 29

angle d + c = 180° (cointerior angle)

y + 3(29) + 13 =180°

y + 100 = 180°

y. = 80

Hope it helps

Answer:

5 + 4i

Step-by-step explanation:

In general, the conjugate of a + bi is a - bi

Answer:

C) 1 5/16

Step-by-step explanation:

(3/4)/(4/7)=(3/4)(7/4)=21/16=1 5/16

don't give up you got it always stay positive

Answer:

the volume of the 2nd box is 1200 cubic inches

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

Answer:

find a shorter water-route to Asia.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If A ⊂ B, that is, A is a subset of B

Also, B ⊂ A, that is, B is a subset A

Therefore, A = B in all respect.

A set is a mathematical model for a collection of items. If two sets are subsets of each other, the other relationship they must have is that they both are equal.

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

If there exist two subsets such that A is a subset of B, also, B is the subset of A. Then the two sets are equal or the same.

Hence, If two sets are subsets of each other, the other relationship they must have is that they both are equal.

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Answer:

138

Step-by-step explanation:

f(x)= 18x + 12

Let x = 7

f(7) = 18*7 +12

     = 126+12

     = 138

Answer:

f(7) = 138

Step-by-step explanation:

[tex]f(x)= 18x + 12\\f(7) = ?\\\\f(7) = 18(7) +12\\f(7) = 126+12\\f(7)=138[/tex]

Multiplication

2, 56, 0, 56, 18, 0, 3, 0, 20, 12

12, 54, 7, 64, 18, 25, 24, 0, 0, 28

14, 8, 6, 24, 35, 9, 27, 48, 40, 1

0, 3, 18, 16, 8, 7, 0, 0, 36, 48

49, 28, 40, 42, 15, 6, 27, 16, 36, 8

0, 32, 81, 4, 30, 0, 0, 9, 32, 10

30, 2, 45, 16, 5, 0, 0, 14, 35, 18

0, 54, 0, 12, 36, 24, 4, 8, 10, 18

72, 6, 63, 12, 0, 21, 0, 24, 63, 0

21, 20, 9, 15, 45, 0, 6, 72, 5, 4

The Histogram is attached blow.

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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Answer:6

Step-by-step explanation:

Answer:

10x+8=4x+(-4).

10×+8=4x-4.

collect like terms.

10x-4x=-4-8.

6x=-12.

x=-12/6.

x=-2.

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

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 )

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

Answer:

answer choice D

Step-by-step explanation:

CORRECT ANSWER IS D

i believe

Answer:

width = 5k²

length = 3k² + 7k + 4

Step-by-step explanation:

(see attached)