Solve the equation p=2q + 2w for q.

The category in the pie chart that was chosen by 1/8 of those that were surveyed is documentary.

From the pie chart, it can be seen that comedy and drama have the highest fraction as they have 1/4 each.

Therefore, the percentage of those who choose comedy or drama will be:

= (1/4 + 1/4) × 100

= 2/4 × 100

= 50%

Lastly, if 24% chose news, the others that choose others will be:

= 1/3 × 24

= 8%

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Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

y = (5/4)x+1

Step-by-step explanation:

\(\frac{y+4}{x+4} =\frac{-4-6}{-4-4}\)

\(\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1\)

The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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Step-by-step explanation:

see the attachment......

Answer:

\(x=4\)

Step-by-step explanation:

We are given that:

\(CB=2x+5\)

And that DE = 10. We want to determine the value of x.

Note that CB is the sum of CD and DB. In other words:

\(CB=CD+DB\)

Similarly, DE is the sum of DB and BE. Thus:

\(DE=DB+BE\)

From the second equation, we can subtract BE from both sides:

\(DE-BE=DB\)

Substitute this into the first equation:

\(CB=CD+(DE-BE)\)

We are given that CB is 2x + 5 and DE is 10.

From the diagram, we can also see that CD is 3x - 1 and BE is 8.

Substitute:

\((2x+5)=(3x-1)+((10)-(8))\)

Solve for x:

\(\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}\)

In conclusion, the value of x is 4.

Answer:

372

Step-by-step explanation:

This is because the formula is a+b/2 x h and 7 is a 24 is b and the other 24 is h so 7 + 24 = 31/2 x 24 is 312

Answer:

395

Step-by-step explanation:

15.8=d/25

multiply both sides by 25 to remove the denominator

25×15.8=d

d=395

Answer:

what is the expressio

Step-by-step explanation:

Answer:

3.60m

Step-by-step explanation:

In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m

The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m

The first step is to calculate the length of the pole that is seen above the water level

= 4.80 × 0.25

= 1.20m

Therefore the depth of the water at that point can be calculated as follows

=4.80m - 1.20m

= 3.60m

Hence the depth of the water at that point is 3.60m

The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)

To find the length of each side of triangle, the distance is calculated between the vertices using the formula:

d = √((x2 – x1)^2 + (y2 – y1)^2)

Hence,

AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units

AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units

BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units

Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units

As AB and AC is the radius of the circle, the circumference of the circle is:

C = 2πr = 2π(9.85) = 61.8 units.

Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.

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Answer:

the gas mileage would be 21.12 mi/gal

Step-by-step explanation:

The computation of the gas mileage is shown below:

Given that

Driving into a 20-mph

Gas mileage by approx 12%

No wind at 24mi/gal

based on the above information

The deduction would be

= 12% × 24

= 2.88 mi/gal

Now the actual mileage in 20-mph would be

= 24 - 2.88

= 21.12 mi/gal

hence, the gas mileage would be 21.12 mi/gal

The area of the parallelogram is

Answer:

something

Step-by-step explanation:

Answer:

$182.5

Step-by-step explanation:

365/2= 182.5

Answer:

$182.50

Step-by-step explanation:

365/2 = 182.5

Step-by-step explanation:

(6×5)+(8×2)=46

92℅=46points

100℅=x

criss cross

92℅x=46

92℅. 92℅

and this is the answer

Answer:

50 Points Total

Step-by-step explanation:

You only got 92% right on the test to that means you missed some questions. So 6x5=30, 18x2=16, 16=30=46 100%-92%=8%, 8%=4 points.

Answer:

5/6

Step-by-step explanation:

The area of the figure is 96 square inches

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

The composite figure

The area is the sum of the areas of the individual shapes that make up the figure

Using the above as a guide, we have the following:

Area = 10 * 2 + 10 * 2 + 8 * 7

Evaluate

Area = 96

Hence, the area is 96 square inches

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Answer:

30,000

Step-by-step explanation:

I don't have explanation sorry :/

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

5

Step-by-step explanation:

(-11)-(-11) would cancel out, so that leaves 5 as the answer :)

Answer: 126 i think cause 5+ (-11) – (-11) = 126 hope this helped have a nice day :)

Step-by-step explanation:

Answer:

75°

Step-by-step explanation:

<2 = <6(corresponding angle)

then <6 = 75°

now <6 = <7 (vertically opposite angle)

therefore, <7 = 75°

Answer: 105

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer: x= 13/3

Step-by-step explanation: solve x

by simplifying both sides of the equation, then isolating the variable.

Answer:

\(x=\frac{13}{3}\)

Step-by-step explanation:

The explanation on how to solve it is from the attached picture.

Hope this helps! :)

An additive inverse of a number (x) is a number which when added to x results in being 0.

The given problem is -3 - (-6)

The additive inverse of -6 is 6

-3 -(-6) = -3 + 6 = 3

Communities property: 6-3 = 3

The answer is:

Because -3+6 is an equivalent expression, the answer is 3

Answer:

2(x+12)

Step-by-step explanation:

Internet