Please help, will mark brainliest

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]

Learn more about the magnitude of vectors here :

https://brainly.com/question/3184914

don't give up you got it always stay positive

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:

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

Answer:

In exponential form

3.2615 X 10¹

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.

Answer:

5 + 4i

Step-by-step explanation:

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

Answer:

find a shorter water-route to Asia.

Step-by-step explanation:

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]

Answer:

32 miles per gallon

Step-by-step explanation:

351 divided by 11 = 31.90909090909090909090909090 e.t.c

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.

Answer:6

Step-by-step explanation:

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:

C) 1 5/16

Step-by-step explanation:

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

Answer:

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

10×+8=4x-4.

collect like terms.

10x-4x=-4-8.

6x=-12.

x=-12/6.

x=-2.

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 )

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).

For more information, refer to the link given below:

https://brainly.com/question/2263981

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]

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.

Learn more about Histogram here:

https://brainly.com/question/16819077

#SPJ2

Answer:

the volume of the 2nd box is 1200 cubic inches

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

Answer:

width = 5k²

length = 3k² + 7k + 4

Step-by-step explanation:

(see attached)

Answer:

True

Step-by-step explanation:

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

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

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: 16

Step-by-step explanation:

Answer:

answer choice D

Step-by-step explanation:

CORRECT ANSWER IS D

i believe

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!