Please help me I don’t understand :(

Answer:

2x + 4 = 8

Step-by-step explanation:

This is the answer because:

1) 2 times a number is representing 2 multiplied with an unknown number, so we can use a variable (x) to represent the number

2) "and" is representing adding. Therefore, 2x + 4 is what is representing the sentence "The sum of 2 times a number and 4"

3) Finally, "equal to 8" is representing how the expression: 2x + 4 is eual to 8

Therefore, the correct equation is 2x + 4 = 8

Hope this helps!

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

The faster computer will complete the job in 20 minutes alone.

Step-by-step explanation:

Given that:

Time taken by both computers = 12 minutes

Time taken by slower computer = 30 minutes

Let,

x be the time taken by faster computer.

\(\frac{1}{x}+\frac{1}{30} = \frac{1}{12}\)

\(\frac{1}{x} = \frac{1}{12}-\frac{1}{30}\\\\\frac{1}{x} = \frac{5-2}{60}\\\\\frac{1}{x} = \frac{3}{60}\\\\\frac{1}{x} = \frac{1}{20}\\\\x= 20\)

Hence,

The faster computer will complete the job in 20 minutes alone.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

X= 2

Step-by-step explanation:

Because when you subtract 2 from 6 you and with 4 and seeing how there are 2 x's that means you need to divide the 4 from 2 which gives you 2 and that's the value of x

Algebras are represented using variables and numbers. The value of x from the given algebraic expression is 4

Algebras are represented using variables and numbers.

From the given tiles, we will add the number and variables on both sides and equate them to get the value of x

1 + 1 + 1+ 1+ 1+ 1 = 1 + 1 + x + x

6 = 2 +x

Subtarct 2 from both sides

6 - 2 = 2 + x - 2

4 = x

x = 4

Hence the value of x from the given algebraic expression is 4

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S received $1050, J received $0, and the ratio of the money shared between S and J is 0:1. A received 23.33% of the total amount.

Step 1: Determine the amount A received.

We know that A received 1/2 of the total amount, which is $1050. Therefore, the total amount can be calculated by multiplying A's portion by 2: 1050 * 2 = $2100.

Step 2: Calculate the amount J received.

To find the amount J received, we need to subtract A's and S's amounts from the total.

From Step 1, we know that the total is $2100. S received the same amount as A, which is $1050.

Therefore, we subtract A's and S's amounts from the total: 2100 - 1050 - 1050 = $0.

Since J received the remainder, we see that J did not receive any amount from the initial sum of $4500.

Step 3: Calculate the amount S received.

To find the amount S received, we need to subtract S's amount from the total.

Again, from Step 1, we know that the total is $2100. S received the same amount as A, which is $1050.

Therefore, we subtract S's amount from the total: 2100 - 1050 = $1050.

Step 4: Calculate the ratio in which the money was shared between S and J.

Since J did not receive any amount, the ratio of the money shared between S and J is 0:1.

Step 5: Calculate the percentage of the total amount that A received.

To find the percentage, we divide A's amount by the total and multiply by 100: (1050/4500) * 100 = 23.33%.

Therefore, S received $1050, J received $0, and the ratio of the money shared between S and J is 0:1.

A received 23.33% of the total amount.

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Answer:

May you kindly provide us with a selection of choices? Thank you ! :)

Step-by-step explanation:

Answer:

17.93

Step-by-step explanation:

y= 2.11x+5.27

x= the # of years

y=total

2000---->2006, six years have past

y=2.11(6)+5.27

y=17.93

The 3rd option is right as both contain the sum

50/7 + 8/15

Answer:

Option 3: 14 is the correct answer.

Step-by-step explanation:

Slope is denoted by m and is calculated using the formula:

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Here

(x1,y1) are the coordinates of first point and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (3, -20) and

(x2,y2) = (5,8)

Putting the values in the formula, we get

\(m = \frac{8-(-20)}{5-3}\\m = \frac{8+20}{2}\\m = \frac{28}{2}\\m = 14\)

The slope of line passing through points (3, -20) and (5,8) is 14.

Hence,

Option 3: 14 is the correct answer.

Answer:

V= 201.1

Step-by-step explanation:

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Null [H0] : chips x = 408

Alternate [H1] : chips x < 408

t = ( x' - u ) / (s / √n)

x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.

(406 - 408) / (21 /√45)

-2 / 3.13

= 0.64

t value for α = 0.01 (one tailed), with degree of freedom = 44  : is 2.41

As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408

Answer:

23 days

Step-by-step explanation:

We would first determine the volume of the tank. This gives information on the amount of water it can carry

WE divide the volume by the amount of water the town uses per day

Volume of a sphere = \(\frac{4}{3}\)πr³

n = 3.14

r == radius

radius = 1/2 x diameter

radius = 26/2 = 13 meters

volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3

How long the tank would last = 9198.106667 / 400 = 23 days

maybe we could answer if there waas a pic=]

Answer:

x=4.5

Step-by-step explanation:

2x− 7/2 =x+1

2x− 7/2- x=1

x-7/2=1

x= 1+7/2

x=2/2+7/2

x= 2+7 is numerator and 2 is the denominator

x= 9/2

9/2 = 4.5

Answer:

y=1.3x-3

or

y=4/3x-3

Step-by-step explanation:

1.3 is the slope (the change in between points)

-3 is the y intercept (the point on the y-axis)

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

the answer is to make sure he is at least twenty inches from his monitor.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Train A is northbound at     S km/hr    S = speed            and travels for 3 hours

S is the speed of Train A

Train B is southbound at (S + 20) km/hr    

Train B starts later 45 min and travels for 2 and 1/4 hours    so 3/4 hour plus 2 1/4 hour equals 3 hours

After 3 hours since Train A left the station Train A and Train B are 360 km apart

    A + B = 360 km            Equation 1

    A = S km/hr x 3 hr

    B = (S +20) km/hr x (2 1/4) hr

Plug A and B into the first equation

   3S (km/hr) + (2 1/4)(S + 20)  (km/hr)= 360 km

    3S + (9/4)(S + 20) = 360      i dropped the units to make easier to read

    3S + 9S/4 + 180S/4 = 360   I just multiplied 9/4 time the S +20

    12S + 9S + 180 = 1440        multiply both sides by 4

     12S + 9S = 1440 - 180       subtract 180 from both sides

     21S = 1260                       collecting terms

      S = 60 km/hr    S = Speed of Train A  equal 60 km/hr I added the units back into the answer

      S + 20 is the speed of

     Train B  = 80 km/hr

Extra credit

now using the same train speeds, if Train B was now headed NORTH, a what time would it crash into Train A?

S km/hr x T hr = (S+20) km/hr x (T-3/4) hr     solve for T      T = time in hr

When is Train A equal the same location as Train B

Trani A = Train B     don't forget the start time differential

ST = (S + 20)(T-3/4)         plug in train a and b speeds

60T = 80(T-3/4)

60T = 80T - 60

60 = 80T - 60T

60 = 20T

3 = T

after 3 hrs Train B will catch Train A

Answer:

Step-by-step explanation:

if ∠1=∠2

2x+12=3x+3

3x-2x=12-3

x=9

∠1=2×+12=30°

∠2=30°

∠VXW=30+30=60°

Answer:

Step-by-step explanation:

The coefficients of the x-terms are 2 and 2, so subtracting one equation from the other will give an x-coefficient of 0, eliminating the x-terms. One might choose to subtract the bottom equation, as it is the one with the least y-coefficient. This strategy would result in a y-term with a positive coefficient:

  (2x +3y) -(2x -3y) = (-5) -(10)

  6y = -15 . . . . . . the result of subtracting the bottom equation

__

The coefficients of the y-terms are 3 and -3, so adding the two equations will give a y-coefficient of 0, eliminating the y-terms.

  (2x +3y) +(2x -3y) = (-5) +(10)

  4x = 5 . . . . . . the result of adding the two equations.

__

A variable could be eliminated by ...

_____

Additional comment

The third choice would give ...

  2(2x +3y) +(2x -3y) = 2(-5) +(10)

  6x +3y = 0 . . . . . . . . eliminates the constant. Both variables remain.

Answer:

Step-by-step explanation:

Because, if  even , for example x^2,  then the square of a negative and a positive x will always be positive.

For odd x, eg x^3 if x is negative x^3 is negative and if x is positive x^3 is positive.

Answer:

10.7

Step-by-step explanation:

10.7

    - 45

         31

        -00

         315

        -315

          00

The equation represents of Bob’s distance is D = 1/4t

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we can see that

The distance multiplied by 4 gives the time

Mathematically, this is represented as

4 * D = t

Divide by 4

D = 1/4t

Hence, the equation is D = 1/4t

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

a. 1,323,002

Step-by-step explanation:

Solve for x.

2x + 9 = 33

2x = 24

x = 12

A. x = 7.5

B. x = 12

C. x = 21

D. x = 84

Answer:

\(2x + 9 = 33 \\ 2x = 33 - 9 \\ 2x = 24 \\ x = \frac{24}{2} \\ x = 12\)

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer: to get a better picture.

Step-by-step explanation:

Answer:

Due to the higher coefficient of variation, 2009's GMAT scores show a more dispersed distribution

Step-by-step explanation:

To verify how dispersed a distribution is, we find it's coefficient of variation.

Coefficient of variation:

Mean of \(\mu\), standard deviation of \(\sigma\). The coefficient is:

\(CV = \frac{\sigma}{\mu}\)

Which year's GMAT scores show a more dispersed distribution

Whichever year has the highest coefficient.

2009:

Mean of 500, standard deviation of 90. So

\(CV = \frac{90}{500} = 0.18\)

2010:

Mean of 570, standard deviation of 85.5. So

\(CV = \frac{85.5}{570} = 0.15\)

Due to the higher coefficient of variation, 2009's GMAT scores show a more dispersed distribution

2009's GMAT scores show a more dispersed distribution.

Given that in 2009: Mean = 500 and standard deviation = 90.

In 2010: Mean = 570 and standard deviation = 85.5.

If the standard deviation is higher then the scores will be more dispersed.

Note that: 90 > 85.5. And 90 corresponds to 2009.

So, 2009's GMAT scores show a more dispersed distribution.

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