9. Find the point from Y to X that is 3/4 of YX.

A. (2, -4)
B. (-6, -2)
c. (-6, -4)
D. (2, -2)
​

Answer:

B.

Step-by-step explanation:

Total number of marbles: 3 + 7 = 4 = 14

Number of white marbles: 7

First drawing of white marble: 7/14

There is no replacement, so after the first white marble has been drawn, now there are 13 marbles left of which 6 are white.

Second drawing of a white marble: 6/13

Probability of drawing a white marble followed by drawing a white marble is:

7/14 * 6/13

Answer: B.

Answer:

B.[tex] \frac{7}{14}*\frac{6}{13}[/tex]

Step-by-step explanation:

From the table, the number of white marbles is 7.

[tex]n(W)=7[/tex]

The total number of marbles is 7+3+4=14

[tex]n(S)=14[/tex]

The probability of drawing a white marble is [tex]\frac{7}{14}[/tex].

The probability of drawing another white marble without replacing the first one is [tex]\frac{6}{13}[/tex]

The probability that both marbles are white is

[tex]P(both\:are\:white)=P(W_1)*P(W_2)[/tex]

[tex]P(both\:are\:white)=\frac{7}{14}*\frac{6}{13}[/tex]

Answer:

3467.2

Move the decimal to the right three times, then put the decimal between the 3rd and 4th place.

Answer:

240 cubic cm

Step-by-step explanation:

8*10*3

=80*3

=240

Answer:

240 cm^3

Step-by-step explanation:

We are given a rectangular prism with dimensions 8 cm, 10 cm and 3 cm and we are to find its surface area.

We know that the surface area of a rectangular prism is given by:

Volume of rectangular prism [tex] = w \times h \times l[/tex]

Substituting the given values in the above formula:

Volume of the right rectangular prism = [tex]8 \times 10 \times 3[/tex] = 240 cm^3

Answer:

r = 6 m

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

Substitute in what we know

37.68 = 2 * 3.14 * r

37.68 = 6.28 r

Divide each side by 6.28

37.68/6.28 = 6.28 r/6.28

6 = r

To find the weight of each book in a box of 20 books, divide the total weight of 15 lbs by 20. Each book weighs 0.75 lbs.

The problem at hand is asking for the weight of each individual book. The total weight of the books is given as 15 lbs, and there are 20 books in total. To find out the weight of each book, one must divide the total weight by the number of books. So, in this case, divide 15 lbs by 20. Thus, each book weighs 0.75 lbs.

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Final answer:

To find the weight of each book, divide the total weight of all the books (15 lbs) by the number of books (20), resulting in an average weight of 0.75 pounds per book.

Explanation:

The question asks to find the average weight of each book if a box containing 20 books weighs 15 pounds in total. To solve this, divide the total weight of the books by the number of books.

Step 1: Find the total weight of the books. The total weight is given as 15 lbs.

Step 2: Find the number of books. The number of books is given as 20.

Step 3: Calculate the average weight per book. Divide the total weight by the number of books to get the average weight per book:

15 lbs ÷ 20 books = 0.75 lbs per book.

Therefore, each book in the box weighs 0.75 pounds.

Answer:

This ordered pair is NOT a solution of the equation.

Step-by-step explanation:

First, it is important to note that ordered pairs consist of (x, y) so in this case

x = 15 and y = -3.  And that any variable directly next to a number calls for multiplication.  So, plugging in the variables the equation would look like

"-3 = 5 x 15"  

To see if 5 x 15 = -3 we will multiply them.  5 x 15 actually equals 75 not -3.  So we know this ordered pair is NOT the solution for the problem.  

Answer:

1:16

Step-by-step explanation:

Convert the basketball players height to inches:

6 ft = 12 x 6 = 72 inches.

72+8 = 80 inches tall

Now divide his actual height by the scaled height:

80 / 5 = 16

The scale can be 1:16 , which means 1 inch equals 16 inches.

To ensure the cost doesn't exceed $49, the chemistry club can rent the meeting room for fewer than 7 hours.

The subject is Mathematics, and it's likely for High School level. This problem deals with the concept of linear inequalities. Here, the total cost of renting the room is given by the equation:

y = 14 + 5t,  where t represents the number of hours the room is rented. The chemistry club wants to spend less than $49, so we have the inequality: 14 + 5t < 49. Subtract 14 from both sides to get 5t < 35. Finally, divide both sides by 5 to solve for t, ending up with: t < 7. Therefore, the chemistry club could rent the meeting room for fewer than 7 hours to keep the cost under $49.

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The identity is 3w + 8 – w = 4w – 2(w – 4)

2w+8=4w−2(w−4)

2w+8=4w−2w+8

2w+8=2w+8

Since both sides equal so it is an identity

The image point of (8,4) after a translation left 2 units and down 4 units is (6,0), obtained by subtracting 2 from the x-coordinate and 4 from the y-coordinate.

The image point of (8,4) after a translation left 2 units and down 4 units would be found by subtracting 2 from the x-coordinate and 4 from the y-coordinate of the original point. A translation does not change the shape or orientation of the figure, it just moves every point of the figure the same distance in the same direction.

To find the new coordinates after the translation:

Therefore, the image point after the translation is (6,0).

Simplify : ( 5 + 4i ) + ( 3 - 2i ) = ?

Simplify by combining the real and imaginary parts of each expression.

= 8 + 2i

Hope this helps,

Davinia.

The original price was $120.00.

30 percent of $120.00 is $36 and if you add those together they equal $156.00.

I hope that makes sense and was helpful.

There are 4 people. They average 68, so the total key chains are 68 x 4 = 272.

Tarun has 78, so the other three people have a total of 272 - 78 = 194.

Let Marcus = X

James has half as many as Marcus, so he is 0.5X

Yahya is (x + 0.5x)-28 = 1.5X-28

Now add them together to equal 194:

X + 0.5x + 1.5x -28 = 194

Simplify:

3x -28 = 194

Add 28 to each side:

3x = 222

Divide both sides by 3:

x = 222 / 3

x = 74

Marcus = x = 74 key chains.

James = 0.5x = 0.5(74) = 37 key chains.

Yahya = 1.5x-28 = 1.5(74) -28 = 111-28 = 83 key chains.

Tarun = 78 key chains.

Check: 74 + 37 + 83 + 78 = 272 ( matches the total above).

Answer:

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

Step-by-step explanation:

sinx can run from -1 to +1

2sinx can run from -2 to +2

2sinx -1 can run from -3 to +1

However, the square root is imaginary when x < 0. So, the condition is

2sinx -1 ≥ 0

2sinx ≥ 1

sinx ≥ ½

x ≥ π/6 (30°)

So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6

However, the sine is a cyclic function and repeats itself every 2π.

Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).

The domain is then

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

Answer:

x = -1/2

Step-by-step explanation:

4(x + 3) = 9x + 16 + 3x

Distribute the 4

4x +12 = 9x+16+3x

Combine like terms

4x+12 = 12x+16

Subtract 4x

4x-4x+12 = 12x-4x+16

12 = 8x+16

Subtract 16

12-16 = 8x+16-16

-4 =8x

Divide by 8

-4/8 =8x/8

-1/2 =x

30-13 !!! JUST DID IT

Step-by-step explanation:

The solution to the vector equation x + b = c, given vectors B = [8, 4] and C = [22, -9], is x = [14, -13]. This solution is found by subtracting the corresponding entries of the vectors B from C.

To solve the equation x + b = c, specifically with vectors B = [8, 4] and C = [22, -9], you need to use vector subtraction. Applying this operation to the given equation, we have:

x = c - b

By plugging in the given values:

x = [22, -9] - [8, 4]

Subtract the corresponding entries of the vectors:

x = [22 - 8, -9 - 4]

So, the solution to this equation is:

x = [14, -13]

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Answer:

The answer is 2760000

Step-by-step explanation:

Answer:2760000

Step-by-step explanation:

set f(x) equal to y

y = 19/ x^3

swap x and y

x = 19/y^3

make y the subject

xy^3 = 19

y^3 = 19/x

[tex]y = \sqrt[3]{ \frac{19}{x} } [/tex]

then just replace y with f^-1(x)

[tex]f(x) = \sqrt[3]{ \frac{19}{x} } [/tex]

hope this helped! have a good day ~ •lipika•

The inverse of the function F(x) is:

          [tex]\sqrt[3]{\dfrac{19}{x}}[/tex]

We are given a rational function F(x) as:

[tex]F(x)=\dfrac{19}{x^3}[/tex]

The steps to find the inverse function of a given function f(x) are as follows:

1.   Put f(x)=y

2.  Interchange the value of x and y

3.  Solve for y.

Hence, we find the inverse of F(x) as follows:

[tex]F(x)=y[/tex]

i.e.

[tex]\dfrac{19}{x^3}=y[/tex]

Now we interchange x and y

i.e.

[tex]\dfrac{19}{y^3}=x[/tex]

Now we solve for y as follows:

[tex]y^3=\dfrac{19}{x}\\\\i.e.\\\\y=\sqrt[3]{\dfrac{19}{x}}[/tex]

      Hence, the inverse function is:

                 [tex]\sqrt[3]{\dfrac{19}{x}}[/tex]

I think the answer is B and C

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the median, you need to order your numbers first.

14, 16, 18, 21, 34, 60

There is an even amount of numbers, so you find the mean of the middle two numbers.

18+21=39/2=19.5

Median=19.5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to order the numbers.

14, 16, 18, 21, 34, 60

Then, you find the middle number, which is the average of the middle two numbers if the amount of numbers is even.

18+21/2

18+21=39

39/2=19.5

Final answer:

The median of the numbers if 19.5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

Step-by-step explanation:

Hello :)

Sorry I cant draw a graph on here but I can explain this to you. So if you have a calculator on you (a scientific one) you can use the table mode by pressing mode and then table. If you do not have a calculator then the axis on the graph you have needs to be substituted where x is.

If the axis is from -3 to 3 you need to enter every single value from -3 to 3 and substitute where x is

EG - (-3)^2-6(-3)+5 that is 32

Keep following for the rest of the values (it depends on your scale)

In this case we have

32,21,12,5,0,-3,-4 these each correspond and these are values on the y axis.

These each correspond to -3,-2,-1,0,1,2,3 in this exact order.

Plot the Graph with the values from this so on the x axis you will have -3 and on the y axis you will have 32 and so on.

This allows you to plot your graph

Answer:

Step-by-step explanation:

We can factor the equation to find the zeros

y = x^2 − 6x + 5

0 =   x^2 − 6x + 5

0 = (x-5) (x-1)

Using the zero product property

x-5 = 0      x-1 =0

x=5   x=1

The zeros are at (1,0) and (5,0)

The vertex is 1/2 way between the zeros

1+5 = 6  6/2 =3

The x coordinate of the vertex is 3

Substituting into the equation

y = 3^2 -6(3) +5

y = 9-18+5

y= -4

The vertex is at (3,-4)

We know it is symmetric around x=3

The y intercept is (0,5)

it takes 1.6 hour to go 8 miles.

Speed of toy car = 5mph
distance = 8 miles
times =??

Speed is ratio of distance to the time.

Speed = distance/time
time = distance/speed
time = 8/5
time = 1.6

Thus, it takes 1.6 hour to go 8 miles.

Learn more about speed here:
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312 people bought balcony seats and 396 people bought ground seats.

Answer:

C

Step-by-step explanation:

Whenever you see | | with a NEGATIVE NUMBER it ALWAYS goes to the positive for example |-5| will be converted to 5 because its a negative number now if it is a positive number it stays the same for example |5| is still 5 because its positive Therefore, It is C. 8

Hope this helps!

dj~

Correct option is (C) 8

When we take the absolute value of any negative number say '-x' the number simplifies to just the magnitude of the number i.e 'x'

Thus |-8| would be '8'

Therefore absolute value of -8 is 8

Answer: $27,000

Step-by-step explanation:

In order to calculate what his salary is this year, you need to divide $3,600 / 12% since $3,600 equals 12%. $3,600 / .12 = $30,000. If his salary is $30,000 it was 3,000 less last year, or $27,000.

His salary last year was 27,000

Steps:

find what 3,600 is 12% of.

we do this by is over of equals percent over a hundred

this gives us 30,000 dollars

next we subtract the 3000 dollars more he earned

this gives us 27,000 dollars

the original price is "x", or 100%.

but we know that if we reduce "x" by 20%, namely 100% - 20% = 80%, the 80% of "x" is really £50, what is "x" or the 100% anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&80 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{80}\implies \cfrac{x}{50}=\cfrac{5}{4}\implies 4x=250 \\\\\\ x=\cfrac{250}{4}\implies x=62.5[/tex]

Answer:

121.7

Step-by-step explanation:

73

+48.7

=121.7

121.7

-73

=48.7

To add 73 and 48.7, align them based on the decimal point and add each column from right to left to get the result of 121.7.

The task is to add 73+48.7. The best way to go about this is to align the numbers vertically, taking the decimal point into account:

Now, add each column from right to left. In the first column, we have 0+7, which equals 7. In the next column, we have 3+8, which equals 11. Write down the 1 and carry over the 1 on top of the next column. In the last column, we have 7 (from the carried-over value and the number 7); add it to 4, which equals 11. The final result is 121.7.

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Answer:

(A) 9

Step-by-step explanation:

First, change the percentage sign into decimal: 51% = 51/100 = 0.51

Multiply 0.51 with 18

0.51 x 18 = 9.18

Note that it is asking for an estimate, and so round to the nearest whole number.

9.18 rounded to the nearest whole number is 9

(A) 9  is your answer.

~

Answer:

(A)9

Step-by-step explanation:

If you weren't using a calculator, you know that half, or 50% of 18 is 9, and if it is 51% it will also be around 9. Therefore A is the correct answer.

Answer:

Step-by-step explanation:

Start with our equation:

s=2(lw+wh+hl)

Plug in our values for l, w, and h:

s=2(12*9+9*2+2*12)

Simplify:

s=300

To find the equation of a line that is perpendicular to another line, we need to consider the fact that perpendicular lines have slopes that are negative reciprocals of each other. The given line has a slope of 1, so the perpendicular line will have a slope of -1. Using the point-slope form of a line, we can find the equation of the perpendicular line by plugging in the given point and slope.

To find the equation of a line that is perpendicular to another line, we need to consider the fact that perpendicular lines have slopes that are negative reciprocals of each other. The given line has a slope of 1, so the perpendicular line will have a slope of -1.

Using the point-slope form of a line, y - y1 = m(x - x1), we can plug in the values of the given point (-12, 10) and the slope (-1) to find the equation:

y - 10 = -1(x - (-12))

y - 10 = -1(x + 12)

y - 10 = -x - 12

y = -x - 2

Therefore, the equation of the line that is perpendicular to y = x - 2 and passes through the point (-12, 10) is y = -x - 2.