A windshield wiper is 45 cm long and
creates a central angle of 120° in one
wipe. what is the sector area?

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = \( \frac{216}{12} = 18 ft \)

360 inches = \( \frac{360}{12} = 30 ft \)

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: \( \frac{540}{2.5} = 216 people \)

Therefore, the answer is A) 40π, and the work is shown above.

Surface area refers to the total area that covers the outside of an object or structure. It is a measure of the amount of exposed surface an object has. Surface area is typically measured in square units, such as b meters or square feet.

by the question.

The formula for the surface area of a sphere with radius r is:

SA = 4π\(r^{2}\)

To find the surface area of the sphere in square inches, we need to substitute the radius of the sphere into this formula.

Since we are not given the radius of the sphere, we cannot calculate the exact surface area. However, we do know that one dimension of the sphere is 4 inches (as shown in the diagram). This dimension is the diameter of the sphere, which is twice the radius. So, we can calculate the radius as follows:

radius = diameter/2 = 4/2 = 2 inches

Now we can substitute the radius into the formula for the surface area:

SA = 4π\((2)^{2}\)

SA = 4π(4)

SA = 16π

So, the surface area of the sphere is 16π square inches.

However, none of the answer choices match this exact value. We can use an approximation for π to find the answer that is closest to the exact value:

SA ≈ 16(3.14)

SA ≈ 50.24

Out of the given answer choices, the closest one to 50.24 is A) 40π, which is approximately 125.66. While it is not exact, A) is the closest answer choice to the surface area of the sphere.

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Juice: Different

Burritos: Same

Soup: Same

Peanut Butter: Different

The following are the scale factor for the floor plan:

Couch:

Scale length = 12.6 ft

Scale width = 5.4 ft

Recliner:

Scale length = 5.4 ft

Scale width = 5.4 ft

Couch:

Scale length = 12.6 ft

Scale width = 5.4 ft

End table:

Scale length = 3.6 ft

Scale width = 2.7 ft

TV stand:

Scale length = 7.2 ft

Scale width = 2.7 ft

Book shelf:

Scale length = 7.2 ft

Scale width = 2.7 ft

Dining table:

Scale length = 9 ft

Scale width = 6.3 ft

Floor light:

Scale diameter = 2.7 ft

Couch:

Actual length = 7 ft

Actual width = 3 ft

Scale length = 9/5 × 7

= 12.6 ft

Scale width = 9/5 × 3

= 5.4 ft

Recliner:

Actual length = 3 ft

Actual width = 3 ft

Scale length = 9/5 × 3

= 5.4 ft

Scale width = 9/5 × 3

= 5.4 ft

Coffee table:

Actual length = 4 ft

Actual width = 2.5 ft

Scale length = 9/5 × 4

= 7.2 ft

Scale width = 9/5 × 2.5

= 4.5 ft

End table:

Actual length = 2 ft

Actual width = 1.5 ft

Scale length = 9/5 × 2

= 3.6 ft

Scale width = 9/5 × 1.5

= 2.7 ft

TV stand:

Actual length = ,4 ft

Actual width = 1.5 ft

Scale length = 9/5 × 2

= 7.2 ft

Scale width = 9/5 × 1.5

= 2.7 ft

Book shelf:

Actual length = 2.5 ft

Actual width = 1 ft

Scale length = 9/5 × 2.5

= 7.2 ft

Scale width = 9/5 × 1

= 1.8 ft

Dining table:

Actual length = 5 ft

Actual width = 3.5 ft

Scale length = 9/5 × 5

= 9 ft

Scale width = 9/5 × 3.5

= 6.3 ft

Floor light:

Actual diameter = 1.5 ft

Scale diameter = 9/5 × 1.5

= 2.7 ft

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Answer:

34,35,and 36

Step-by-step explanation:

x+x+1+x+2=105

3x+3=105 combine like terms on the left side

3x=102 subtract three on both sides

x=34 divide by three on both sides.

Hope this helps plz mark brainliest :D

The exponential growth rate is obtained as 0.1099.

Now we know that an exponential function has to do with an exponential increase or decrease. An exponential function could increase or decrease and this means that the constant of the function could be a decay constant or a growth constant.

When we have an exponential function, we have to apply the general formula; P(t) = P(o)e^rt

Po = initial number

P(t) = number at time t

r = rate of growth

t = time taken

Thus;

270=90e^10r

270/90 = e^10r

3 = e^10r

ln3 = 10r

r = ln3/10

r = 0.1099

After 13 hours;

P(t) = 90e^(0.1099 * 13)

P(t) = 376

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Answer:

In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.

The given statement is false.

What is the effect of a row operation on a determinant?

The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.

Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.

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Answer:

27s

Step-by-step explanation:

d = distance to rendezvous point in miles

t = time of arrival at 10mph, i.e. 3 mins later than appointed time

10 mph = 10 miles per hour = ¹/₆ miles per min

12 mph = ¹/₅ miles per min

t = d/(¹/₆)

t = 6d

5 min = ¹/₁₂ hr

t - ¹/₁₂ = d/(¹/₅)

t = 5d + ¹/₁₂

Elimination of t:

6d = 5d + ¹/₁₂

d = ¹/₁₂ mi

t = 6(¹/₁₂)

t = ¹/₂ min

Time left to appointed time = ¹/₂ - ³/₆₀

= ¹⁰/₂₀ - ¹/₂₀

= ⁹/₂₀.min → 27 seconds

Answer:

27 min

Step-by-step explanation:

rsm

The probability of a head on the 5th flip of the coin is 1/2 or 50%

The probability of getting a head on the 5th flip of the coin can be determined by understanding that each flip of the coin is an independent event. The previous flips do not affect the outcome of future flips.

Since the previous flips resulted in four consecutive heads (h h h h), the outcome of the 5th flip is not influenced by them. The probability of getting a head on any individual flip of a fair coin is always 1/2, regardless of the previous outcomes.

Therefore, the probability of getting a head on the 5th flip is also 1/2 or 50%.

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Answer:

Shelly walked farther by 0.0666666666 or 0.07

Step-by-step explanation:

1 divided by 3 = 0.333333333

4 divided by 15 = 0.266666666

0.33 is greater than 0.26, so Shelly walked farther by 0.33 - 0.26 = 0.07

Answer:

\(-3x^3-2x+27 \ is\ the\ standard\ form.\)

Step-by-step explanation:

The standard form of a polynomial is its representation in a descending order starting from the term with the highest degree to the one with the lowest.

Here,\(-3x^3-2x+27 \ is\ the\ standard\ form.\)

The correct value of Domain: (-∞, +∞)  and Range: (-∞, +∞)

To find the domain and range of the function\(f(x) = 9x^3 + 4x^2 - 4,\) we can analyze the nature of the function and determine the possible values for x and corresponding values for f(x).

Domain:

The domain of a function refers to the set of all possible values of x for which the function is defined. In this case, there are no restrictions or limitations on the possible values of x. Therefore, the domain of f(x) = c\(9x^3 + 4x^2 - 4\)is (-∞, +∞) or all real numbers.

Range:

The range of a function represents the set of all possible values that the function can output or produce. To determine the range, we can analyze the behavior of the function as x approaches positive and negative infinity.

As x approaches negative infinity, the term \(9x^3\)dominates, resulting in f(x) becoming increasingly negative. As x approaches positive infinity, the term 9x^3 also dominates, causing f(x) to become increasingly positive. Therefore, we can conclude that the range of f(x) is (-∞, +∞), indicating that the function can take on any real value.

To verify these results, you can use a graphing utility or software to plot the function \(f(x) = 9x^3 + 4x^2 - 4\) and observe the shape of the graph. The graph will confirm that the function is defined for all real values of x and its range spans the entire real number line.

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Answer:

yes, 2 divided by 4 is 1/2.

Step-by-step explanation:

4 only goes into 2 half a time, therefore 2 divided by 4 is 1/2.

Answer: I say yes

Step-by-step explanation: I guess like when dividing 2 into 4 it goes into 4, 2 times, but like if you were to look up the answer, it comes up as 0.5 which us basically considered 1/2 imo.

Answer:

Step-by-step explanation:

x=0

Answer:

1/6 of the movie

Step-by-step explanation:

On solving the provided question, we can say that -  9th term of the sequence is: \(25-(3*9) = 25 - 27 = -2\)

placing two or more objects in the proper sequence. 2. Positioning two or more items in a row. Chronological. A series of numbers is an ordered list. Three dots indicate that the established pattern should remain. Each digit in the sequence is referred to as a word. The terms are in the following numerical order: 1, 3, 5, 7, 9,..., where 1 is the first term, 3 is the second term, 5 is the third term, and so on. Here, you will discover the many categories of sequences, including arithmetic, geometric, and quadratic ones, as well as unique sequences like Fibonacci sequences, and how to create them and identify missing terms.

\(25-3n.\) formula of the sequence is given to be

\(t n = 1 is 25-(3*1) = 22\) first term of the sequence a

\(n = 2 is 25-(3*2) = 19\) second term of the sequence at

\(n = 3 is 25-(3*3) = 16\)  third term of the sequence at

therefore the -

9th term of the sequence is:

\(25-(3*9) = 25 - 27\\= -2\)

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Answer:

D) x = 20

Step-by-step explanation:

It's given that angle <AOD is equal to 100 degrees.
Therefore, according to the angle addition postulate, <AOB + <BOC + <COD = 100 degrees, as they all make out angle <AOD.

\(3x - 15 + x - 5 + 2x = 100 \\\to 6x - 20 = 100 \\\to 6x = 120 \\\to x = 20\)

The per-pound price of the mix must be: P = $2.40 per lb.

To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.

We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:

6*$2.00 = $12.00

We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:

4*$3.00 = $12.00

Then the total cost of the mix is $12.00 + $12.00 = $24.00

And the the mix has a total mass of 6lb + 4lb = 10lb

Then the per-pound price of the mix must be:

P = $24.00/10lb = $2.40 per lb.

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Answer:

$27.93

Step-by-step explanation:

First we divided 4 from 15.96 and got 3.99, so now we know that $3.99 is how much each ounce of jellybeans costs so now we multiply 3.99 times 7 to get our answer of 27.93.

Answer:

The answer is the third bullet. (number 3)

Answer:

-50

Step-by-step explanation:

When they something below sea level or elevation it's negative.

Hope It Helps

Sorry If I'm Wrong

Answer:

\(567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} \)

Step-by-step explanation:

copy that in your paper good luck to you

Answer:

It's False

Step-by-step explanation:

both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.

Basically:

( )   =   > <    

[ ]   =   ≥ ≤

The data collected through the survey of the current user base would represent quantitative data for the project.

Quantitative data refers to numerical data that can be measured and analyzed statistically. In this case, the data collected through the survey would likely include numerical ratings or rankings of the most purchased product of the year, as well as demographic information about the users who completed the survey.

Quantitative data is useful for analyzing trends, patterns, and relationships between variables, and it can provide valuable insights into the preferences and opinions of the user base.

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Answer:

Step-by-step explanation:

Mean is the average of data set:

Mean

\(\\ \rm\leadsto \dfrac{\sum n}{n}\)

\(\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}\)

\(\\ \rm\leadsto 1.3\)

Answer:

$270,000

Step-by-step explanation:

1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000

2. 900,000 divided by 1,000 is 90,000

Then, to calculate the dollar amount we do:

3. 90,000 x 3.00 = 270,000

In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.

Hope this helps!

In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:

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