Obaid wants to paint the ceiling of his restaurant. The ceiling is in the shape of a square. Its side lengths are 15 meters. Suppose each can of paint will cover 25 square meters. How many cans will he need to paint the ceiling? Cans

Answer:

Your answer would be 7,600.

Step-by-step explanation:

7,605 rounded to the nearest hundred would be 7,600 because:

The 7 is the thousands.

The 6 is the hundreds.

The 0 is the tens

The 5 is the ones.

So, we need to find which number makes sense to round. Is 605 closer to 600 or 700? 600. So, we have: 7,600

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Answer: (x,y) ---> (-x,-y)

Step-by-step explanation: When rotating an image 180 degrees, you just need to flip your x and y to negatives. Just remember that 180 degrees is the complete opposite direction, and negative numbers are the opposite of positive numbers.

Hope this helps!

Answer:

Step-by-step explanation:

find "Y"

180 - 51 - 56 = 73°

the sum of the interior angles in a triangle is 180°

Find "x"

x = 180 - 73 - 72

x = 35

The probability of selecting 3 or fewer individuals with excellent health from a sample of 11 individuals living close to a nuclear power plant is approximately 0.304, which is the option C.

In this question, we are interested in the probability of selecting 3 or fewer individuals with excellent health from a sample of 11 individuals living close to a nuclear power plant. Since the probability of success (selecting an adult with excellent health) is 0.35, and the probability of failure (selecting an adult without excellent health) is 0.65, we can calculate this probability as:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X ≤ 3) = C(11, 0) x 0.35⁰ x 0.65¹¹ + C(11, 1) x 0.35¹ x 0.65¹⁰ + C(11, 2) x 0.35² x 0.65⁹ + C(11, 3) x 0.35³ x 0.65⁸

P(X ≤ 3) ≈ 0.304

So, the correct option is (c).

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Answer:

The correct option are;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C

Step-by-step explanation:

The parameters given are;

Domain: \(\{x|-4<x\leq 4, x \in R \}\)

Range: \(\{y|-4\leq y< 4, y \in R \}\)

Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;

Given that x > -4, and ≤ 4, the points B and C satisfies the conditions

Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions

Where:

Point B = (4, 4) satisfies x only

Point C = (4, -4) satisfies x and y

Point D = (-4, -4) satisfies y only

Therefore, in order to draw a line segment between two points;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.

Answer:

11,550.

Step-by-step explanation:

Since we are trying to find the number of people in the stadium, we just need to find 75% of 15,400.(The reason is because each seat is for each person)

To calculate this, you have to:

0.75 x 15,400(The percentage is converting a whole number into decimal)

11,550. (And after you solve it, here is the answer)

Hope you have a nice day!!

Answer:

11,550 people are in the stadium when 75% of the seats are occupied.

Step-by-step explanation:

To solve this, we first need to set up our equation to solve the percent.

Our equation is: \(\frac{75}{100} = \frac{x}{15400}\)

To solve, we do cross multiplication.

75*15,400=100x

Now, multiply

1,155,000=100x

Now, divide both sides by 100 to get x by itself.

1,155,000/100=100/100x

11,550= x

As such, 11,550 people are in the stadium when 75% of the seats are occupied.

Answer: Rectangle and square

Step-by-step explanation:

Answer: 4,700

Step-by-step explanation: 678 is above 650, meaning it is closer to 700 than it is 600

so rounding this makes it 4,700

unless you meant it as a decimal which 4.678 would result in 4.68 since the 8 before 7 would round up the 7 to an 8 making it 4.68

Hope this helps ^_^

Answer:

It's 4,700.

Step-by-step explanation:

When rounding to the nearest hundred, we use the following rules:

1) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

2) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

3) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

(a) The position vector in component form for the polar coordinates (12.6 m, 140°) is (x, y) = (12.6 m * cos(140°), 12.6 m * sin(140°)). (b) The position vector in component form for the polar coordinates (3.60 cm, 40.0°) is (x, y) = (3.60 cm * cos(40.0°), 3.60 cm * sin(40.0°)). (c) The position vector in component form for the polar coordinates (24.0 in., 200°) is (x, y) = (24.0 in. * cos(200°), 24.0 in. * sin(200°)).

x`To obtain the expressions in component form for the position vectors with the given polar coordinates, we can use the following conversions:

For a polar coordinate (r, θ), where r is the magnitude and θ is the angle counterclockwise from the positive x-axis:

The x-component is given by: x = r * cos(θ)

The y-component is given by: y = r * sin(θ)

Let's calculate the expressions for each part:

(a) Polar coordinates: (12.6 m, 140°)

x-component: x = 12.6 m * cos(140°)

y-component: y = 12.6 m * sin(140°)

(b) Polar coordinates: (3.60 cm, 40.0°)

x-component: x = 3.60 cm * cos(40.0°)

y-component: y = 3.60 cm * sin(40.0°)

(c) Polar coordinates: (24.0 in., 200°)

x-component: x = 24.0 in. * cos(200°)

y-component: y = 24.0 in. * sin(200°)

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Answer: w < 5/4

Step-by-step explanation:

isolate the w.

-1/2 + w < 3/4

1) add 1/2 to both sides so that you'll get:

w < 1/2 + 3/4

2) Create common denominators.

(1*2)/(2*2) + (3*1)/(3*1) = 2/4 + 3/4

*The 3/4 can stay the same because denominator-4 is the LCD.*

now you have w < 2/4 + 3/4

3) simplify

w < 5/4

Answer:

5

Step-by-step explanation:

Answer:

I got 350

Step-by-step explanation:

It seems like your doing Pemdas right now.

P: Prenthesies ( )

So I did 8 x 30 = 240

then I added 110 and got 350

I hope this helped. in future reference, Look up what pemdas stands for and go through it step by step. Khan academy has a video on it.

Answer:

Hey there!

Equation of Line FG: \(y=\frac{1}{2} x+3.5\), because the slope (rise over run) is 2 and we see that the y intercept is 3.5.

Equation to a Line Perpendicular to FG: \(y=-2x-3\\\), because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.

Let me know if this helps :)

Answer:

C)

Step-by-step explanation:

f(-5,1) & G(9,8)

Slope of FG = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

                    = \(\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\\)

                     \(\frac{7}{14}\\\\=\frac{1}{2}\)

Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2

Equation of line in slope intercept form : y = mx + b

m = - 2

So, option c will be the equation of the line perpendicular to FG

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

That is a 45-45-90 triangle next to a 30-60-90 triangle.  

So, the height of the left triangle equals 5.

That makes the short side of the 30-60-90 triangle also equal to 5.

In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.

Therefore, the hypotenuse (or "x") equals 10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

edge 2020

============================================================

Explanation:

Let's go through each answer choice one by one to see if it's true or false.

Answer:

3333/40 simplified into 83.325

Step-by-step explanation:

3333/40 simplified into 83.325

The ratio of the proportional sides is 3 : 15 = 4 : b

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

The triangles STR and XYZ are similar triangles

This means that

ST : XY = SR : XZ = TR : YZ

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

3 : 15 = 4 : b

Hence, the ratio of proportional sides is 3 : 15 = 4 : b

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Answer:

\(x=-16\)

Step-by-step explanation:

\(x-8=2(x+4)\\x-8=2x+8\\-x=16\\x=-16\)

Answer:

x= -16

Step-by-step explanation:

x-8=2(x+4)

x-8=2x+8

-x=16

x=-16

-16-8= -24        2(-16+4)= -24

the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11 is -1014/27 square units.

To find the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11, we can integrate the difference between the upper and lower curves with respect to x.

First, let's find the points of intersection between the curves to determine the limits of integration.

Setting the two y-equations equal to each other:

3x² - 28 = 4x + 11

Rearranging the equation:

3x² - 4x - 39 = 0

We can solve this quadratic equation to find the x-values of the points of intersection. Factoring or using the quadratic formula, we find:

(x - 3)(3x + 13) = 0

This gives two solutions: x = 3 and x = -13/3.

Therefore, the limits of integration for the x-coordinate are -13/3 to 3.

To calculate the area, we integrate the difference between the upper curve (3x² - 28) and the lower curve (4x + 11) with respect to x:

A = ∫[-13/3, 3] [(3x² - 28) - (4x + 11)] dx

Simplifying:

A = ∫[-13/3, 3] (3x² - 4x - 39) dx

Integrating term by term:

A = [(x³ - 2x² - 39x)]|_[-13/3 to 3]

Evaluating the definite integral:

A = [(3³ - 2(3)² - 39(3)) - ((-13/3)³ - 2(-13/3)² - 39(-13/3))]

A = [(27 - 18 - 117) - ((-2197/27) - 2(169/9) + 507/3)]

A = [-108 - (-2197/27 + 338/9 + 507/3)]

A = [-108 - (-1902/27)]

A = [-108 + 1902/27]

A = (1902/27) - (2916/27)

A = -1014/27

Therefore, the area enclosed by the curves x = -2, x = 3, y = 3x² - 28, and y = 4x + 11 is -1014/27 square units.

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We know that they charge $0.41 for the first ounce and $0.21 for each additional ounce.

Based on the given information, we can define the following equation

Where x represents ounces.

Answer:

three plus x?

Step-by-step explanation:

Answer:

three plus ex

Answer:

1 mile

Step-by-step explanation:

Jamal's Distance = 3 miles

Since Brendan lives 2 miles closer than Jamal, you do 3 - 2 = 1

Since Jamal lives 1 mile closer than Aisha, you do 3 - 1 = 2

Then, you do 2 - 1

Answer: 1

Answer:

Below

Step-by-step explanation:

Quarterly interest = .01 / 4 = .0025

periods = 4 x 3 yrs = 12

FV = 56500(1 + .0025)^12 = $ 58218 . 50

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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A dot plot that corresponds to the values in the table include the following: dot plot B.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

Based on the values contained in the table, the high school students' essays score on a scale of 0 to 10 should be plotted on a dot plot as follows:

An essay score of 3 would have 1 dot.

An essay score of 4 would have 1 dot.

An essay score of 5 would have 2 dots.

An essay score of 6 would have 5 dots.

An essay score of 7 would have 4 dots.

An essay score of 8 would have 7 dots.

An essay score of 9 would have 3 dots.

An essay score of 10 would have 2 dots.

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Answer:

1. 7/10 + 10/100

= 7/10 + 1/10

= 7+1/10

= 8/10

= 4/5

2. 50/100 + 4/10

= 1/2 + 4/10

= 5/10 + 4/10

= 5+4/10

= 9/10

3. 9/10 + 10

= 9/10 + 100/10

= 9+100/10

= 109/10

4. 1/10 + 40/100

= 1/10 + 4/10

= 1+4/10

= 5/10

= 1/2

5. 70/100 + 2/10

= 7/10 + 2/10

= 7+2/10

= 9/10