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The ratio of dramas to movies, given the number of drama, comedy, and action movies, is 1 : 5.

The ratio of dramas to movies can be found when we first find the number of movies in total :

= Drama movies + Comedy movies + Action movies

= 3 + 8 + 4

= 15 movies

The ratio of dramas to movies would be:

Number of drama movies : Number of total movies

3 movies : 15 movies

In the simplest terms :

3 / 3 : 15 /3

1 : 5

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Full question is:

There are 3 drama movies 8 comedy movies and 4 action movies what's the ratio of dramas to movies ?

The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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The value of angle BCD is determined as 108⁰.

option B is the correct answer.

The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc AB =  m∠ACB

m∠ACB =  72⁰

The value of angle BCD is calculated as follows;

angle BCD = 180 - 72⁰ (sum of angles in a circle)

angle BCD = 108⁰

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Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Answer:

13°

Step-by-step explanation:

We know, a straight line corresponds to 180°

Therefore, 81° + (8q-5)° = 180°

or 8q - 5 = 180° - 81°

or 8q = 180° - 81° + 5° = 104°

or q = [104÷8]° = 13°

Answer:

Step-by-step explanation:

Hello!

15 < x + 4

We can subtract 4 from both sides, to cancel it out.

15 - 4 is 11.

11 < x

x = {12,13,14,15,16,..........................................................................Infinity}

Hope I Helped!

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

you put ur account nuber where it says savings account number, where it says account in words you will put what you wish to withdraw, and put your signature.

Step-by-step explanation:

you will have to write the number in words and in numbers wheres it says dollars and cents x- i hope this helps

Answer:

they formed

Step-by-step explanation:

really easy question if you ask me

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer: B

Step-by-step explanation:

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

Let's break down the steps to determine the final speed:

Step 1: Convert the speed from miles per minute to miles per hour.

Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.

Step 2: Slow down by 15 miles per hour.

Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.

Step 3: Reduce the speed by one third.

To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.

Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

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Answer:

320904

Step-by-step explanation:

Answer:

option C

X - 3y = 3

Step-by-step explanation:

hope it helps:)

Answer:

The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221

Step-by-step explanation:

Answer:

$179.80

Step-by-step explanation:

799-79.80=719. That's the down payment subtracted from the total price of the refrigerator. 719/4, since there's four equal installments, gives you 179.8. Since cents go in 10s, you make it 179.80 and slap a dollar sign in front of that.

Step-by-step explanation:

28.4 g there are 110 calories

1 g there are 110/28.4 = 3.87 calories

39.76 g there are 3.87 × 39.76 = 153.87

Answer:

A

Step-by-step explanation:

Answer:

t=4.3

Step-by-step explanation:

y=a(2)^{\frac{t}{d}}

y=a(2)  

d

t

​  

y=6800\hspace{40px}a=5500\hspace{40px}d=14

y=6800a=5500d=14

d is the doubling time

\text{Plug in:}

Plug in:

6800=

6800=

\,\,5500(2)^{\frac{t}{14}}

5500(2)  

14

t

​  

\text{Solve for }t\text{:}

Solve for t:

\frac{6800}{5500}=

5500

6800

​  

=

\,\,\frac{5500(2)^{\frac{t}{14}}}{5500}

5500

5500(2)  

14

t

​  

​  

Divide by 5500

1.23636364=

1.23636364=

\,\,2^{\frac{t}{14}}

2  

14

t

​  

\log(1.23636364)=

log(1.23636364)=

\,\,\log\left(2^{\color{green}{\frac{t}{14}}}\right)

log(2  

14

t

​  

)

Take the log of both sides

\log(1.23636364)=

log(1.23636364)=

\,\,\color{green}{\frac{t}{14}}\log(2)

14

t

​  

log(2)

Bring exponent to the front

\frac{\log(1.23636364)}{\log(2)}=

log(2)

log(1.23636364)

​  

=

\,\,\frac{t}{14}

14

t

​  

Divide by log(2)

0.30610313=

0.30610313=

\,\,\frac{t}{14}

14

t

​  

Divide in calculator

14(0.30610313)=

14(0.30610313)=

Multiply by 14

4.285443788=

4.285443788=

\,\,t

t

Answer:

Step-by-step explanation:

45

1)2

2)4

3)6

4)8

5)10

6)12

7)14

8)16

9) 18

10) 20

The equivalent expressions are (b) (7 * 7)^x , (c) 7^x * 7^x and (e) 7^(2x)

The expression is given as:

49^x

Express 49 as 7 * 7

(7 * 7)^x ---- option (b)

Express 7 * 7 as an exponent

7^(2x) ---- option (e)

Express 2x as x + x

7^(x +x)

Expand

7^x * 7^x --- option (c)

Hence, the equivalent expressions are (b), (c) and (e)

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Answer:

Answer is C -- (1, 0), (2, 0), and (–3, 0)

Step-by-step explanation:

Lee's TV costs $4.05 to operate for a month of 30 days.

To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.

First, let's find out how many watts Lee's TV consumes in a day:

250 watts/hour x 3 hours/day = 750 watts/day

To convert this to kilowatts, we divide by 1000:

750 watts/day ÷ 1000 = 0.75 kilowatts/day

Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:

0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours

Finally, we can calculate the cost of operating the TV for a month:

22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05

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Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Answer:

3xy^2 +9xy

Step-by-step explanation:

(^ means there is an exponent)

it'll be 3xy^2-5xy if there are parathesis around the two equations

Answer:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

Step-by-step explanation:

We have that the correlation coefficient shows the relationship between the weights and amounts of road fuel consumption of seven types of car, now the P value establishes the importance of this relationship. If the p-value is lower than a significance level (for example, 0.05), then the relationship is said to be significant, otherwise it would not be so, this case being 0.003 not significant.

The statement would be the following:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

Answer: 13

Step-by-step explanation:

Given

The number is 2925

The prime factorization of 2925 is

\(\Rightarrow 2925=3\times 3\times 5\times 5\times 13\\\Rightarrow 2925=3^2\times 5^2\times 13\)

To make 2925 a perfect square, we have to eliminate 13 from it, so divide 2925 by 13 to make it a perfect square

The perfect Sqaure becomes \((3\times 5)^2=225\)

The solution set in interval notation [7, ∝)

The compound inequality is given as:

x+8 ≥ 9 and 2x − 6 ≥ 8

Take the like terms

x ≥ 9 - 8 and 2x ≥ 8 + 6

Evaluate the like terms

x ≥ 1 and 2x ≥ 14

Divide by 2

x ≥ 1 and x ≥ 7

The solution set of x ≥ 7 is greater than x ≥ 1

So, we have

x ≥ 7

In interval notation, it is [7, ∝)

Hence, the solution set in interval notation [7, ∝)

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