The perimeter of a rectangle is 20 inches and it’s area is 24 square inches. What are its dimensions?

Answer:

Step-by-step explanation:

there are a total of 16+8+8=32 coins in bag

16 out of 32 are red

player wins by pulling a red coin

assume it is a single pull, the winning probability = 16/32 = 1/2

so it is 50/50 chance n hence a fair game

Step-by-step explanation:

yes it is a fair game because any one don't know what the coin will get, it is based on luck

The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.

The volume of a paraboloid can be expressed as:

The formula for a paraboloid's volume is Vparaboloid = (π/3) x (r²) x h, where r is the base's radius and h is the object's height.

A cylinder's volume can be expressed as follows with the same height and base radius:

Vcylinder = π x (r²) x h.

A paraboloid's volume to a cylinder's volume with the same height and base radius is calculated as follows:

Vparaboloid / Vcylinder = (π/3) x (r²) x h / (π x (r²) x h) = (π/3) / π = 1/3.

The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.

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Answer2/0

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. The percent of individuals with each of the following natural hair colors:  black, brown, blond, red, and other

B. The land area of each of the approximately 50 countries in Europe

C. The number of college students who play basketball, baseball, or soccer

D. The number of K-12 schools that are public compared to the number of private and  charter schools

Answer:

Be more specific, there was a lot more going down.

Step-by-step explanation: First of all, the narrator had this obsession with the old man. He loved him like family, even if they were mostly close friends. It was the old man's eye that was bothering him. He was mentally ill as the idea is introduced to the reader as they begin the story.  With the way he was narrating things, you could tell that he was an unreliable narrator because he's nuts. He went mad almost completely and started to plot the old man's murder. The process took about 3-4 days and nights (From my perspective, I don't have the text available in front of me right now, this is from when I was in 7th grade.) On the 3rd/4th night, he makes a creaking noise. The old man is startled but goes back to sleep. (The narrator moves ever so slowly in his advances each night, and he's careful in his own perspective. Like, just imagine him just looming over the door, ready to pounce. And when he finally got his chance, he rushes at the old man with the axe, old man being scared awake, and decapitated and mutilated into small pieces. The narrator hides the body below the floorboards and the police later arrive, suspecting foul play. After they're satisfied with the search, the narrator breathes a sigh of relief, but then a mental noise starts thumping in his head, and it was the old man's heart beat. (He had heard it as he crept into his room at night during those 3-4 days and nights.) It drove him nuts no matter how much he tried to ignore it. Finally, out of insanity, he rips out the floorboards to reveal the fresh corpse to the horror of the police. The story stops there.

Answer:

64/4

Have an amazing day!

Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

------------

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

------------

Extra info:

The best course grade your friend can earn is 88%.

The minimum score your friend needs to have on the final to earn a 75% for the course is 35%.

If the final counts for 20% of the course grade, it means that the average of 85% counts for 80% (100 - 20%) of the total score.

The linear expression that can be used to determine the best course grade your friend can earn is:

(average that has already been accumulated x 80%) + (score on the finals x 20%)

(85% x 80%) + (20% x 100%)

(85% x 0.80) + (0.2 x 100%)

68 + 20 = 88%

The linear equation that can be used to determine the minimum score that can be earned on the final to have75% in the course is

Final grade = (total average before the final x 80%) + (score on the final x 20%)

75% = (85% x 80%) + (f x 20%)

75% = (85% x 0.80) + (0.20 x f)

75% = 68% + 0.20f

75% - 68% = 0.20f

7 =  0.20f

f = 7% / 0.20

f = 35%

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The measure of central tendency of a distribution of data that can take multiple value is the mode

In a given dataset;

All the above measures can take only one value in a dataset

However, the mode can take multiple values, because it represents the data element with the highest frequency (and multiple data elements can have the same frequency)

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The value of the given expression, -50 + 5/13p, when p = -26 is -60

From the question, we are to evaluate the given expression for the given value of p

The given expression is

-50 + 5/13p

and

The given value of p is p = - 26

Substitute the given value of p into the given expression

That is,

-50 + 5/13p

When p = -26, the expression becomes

-50 + 5/13(-26)

Simplify

-50 + 5(-2)

-50 - 10

= - 60

Hence, the value of the expression is -60

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Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Answer:

The answer is 36 tablespoons

Step-by-step explanation:

1/4 = 4 tablespoons

4*8 = 32

32 + 4 =36

Answer:

36 tablespoons

Step-by-step explanation:

4 tablespoons in 1/4 cup:

4*4 = 16 tablespoons in 1 cup

16*2 = 32 tablespoons in 2 cups

32+4 = 36 tablespoons for 2 1/4 cups

Answer:

\( \sqrt{( {3 - 2)}^{2} + {( - 2 - 6)}^{2} } \)

\( \sqrt{ {1}^{2} + {( - 8)}^{2} } \)

\( \sqrt{1 + 64} = \sqrt{65} \)

Answer:

Step--step explanation:

2/3 = 0.67

3/4= 0.75

So 2/3 < 3/4

Answer:

Option B is correct.

Step-by-step explanation:

\( \frac{2}{3} = 0.6666....\)

\( \frac{3}{4} = 0.75\)

\(0.666... < 0.75\)

\(∴ \frac{2}{3} < \frac{3}{4} \)

Answer:

L1 = 113°

L4 = 67°

Step-by-step explanation:

L1 + L2 = 180°

L1 = 180° - L2

L1 = 180° - 67°

L1 = 113°

L3 + L4 = 180°

L4 = 180° - L3

L4 = 180° - 113°

L4 = 67°

Proof-

Combination of L1,L2,L3 and L4 should be 360°

113°+67°+113°+67° = 360°

Answer:

7850

Step-by-step explanation:

Answer:

7850 cm squared

Step-by-step explanation:

The formula for area of a circle is 3.14(r^2)

The radius is 50 cm.

3.14(50^2)

7850

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

Mean for Male=72.13

Median for male = 65

Mean for Female= 79.93

Median for female= 83

There are differences in the results of mean and median for the males' data compared to the mean and median results calculated from the females' data.

Step-by-step explanation:

Mean for Male: 96 75 53 94 79 55 62 65 61 91 64 81 60 63 83 ​

X= 96, 75, 53, 94, 79, 55, 62, 65, 61, 91, 64, 81, 60, 63, 83 ​

Total number of value, n=15

Mean is average value, which gives: addition of X, divided by n

Mean= (96+75+53 +94+ 79+ 55+ 62+ 65+ 61+ 91+ 64+ 81+ 60+ 63+ 83) / 15

Mean= 1082 / 15

Mean=72.13

Median for male: 96 75 53 94 79 55 62 65 61 91 64 81 60 63 83 ​

The values should be rearranged in numerical order to get the middle value

53 55 60 61 62 63 64 65 75 79 81 83 91 94 96

The middle value is the 8th value since there are 15 values

Median = 65

Mean for Female: 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72

X= 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72

Total number of value, n=15

Mean is average value, which gives: addition of X, divided by n

Mean= (71 +73+ 92 +86 +90 +67 +89+ 76+ 89+ 86+ 69+ 88+ 68+ 83+ 72) / 15

Mean= 1199 / 15 = 79.93

Median for female: 71 73 92 86 90 67 89 76 89 86 69 88 68 83 72

The values should be rearranged in numerical order to get the middle value: 67 68 69 71 72 73 76 83 86 86 88 89 89 90 92    

 The middle value is the 8th value since there are 15 values

Median = 83

There are differences in the results of mean and median for the males' data compared to the mean and median results calculated from the females' data.

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

Explanation:

The "given that he is male" stated at the end means we only focus on the male column. This is because we know 100% that the person selected is male. Either we're told this by someone else, or we can determine this another way.

There are 39 males that got the flu shot out of 51 males total. The probability we're after is 39/51 = (3*13)/(3*17) = 13/17

It's effectively saying: out of every 17 males, 13 of them got the flu shot.

Answer:

10a and 5a+2a+3a

Step-by-step explanation:

6a + 4a = 10a

10a = 10a

9a is not equal to 10a

10+a is not equal to 10a

5a+2a+3a = 10a

6a - 4a is not equal to 10a

a^10 is not equal to 10a

Hope this helps! :)

If Athlete J continues at that speed, it will take 12 minutes to run 1 mile

It will take Athlete J 60 minutes to run 5miles

Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.

The formula for calculating the speed of the athlete is expressed as:

Speed = Distance/Time

1) If Athlete J runs 2/3 of a mile in 8 minutes, this can be expressed as:

2/3 miles = 8 minutes

If the athlete runs for 1 mile, then;

1 mile = x

Divide both expressions

2/3 = 8/x

2x = 24

x = 12 minutes

Hence If Athlete J continues at that speed, it will take 12 minutes to run 1 mile

2) if athlete J run 5 miles, the time taken will be expressed as;

2/3(5) = 8/x

2/15 = 8/x

2x = 120

x = 60minutes

Hence it will take Athlete J 60 minutes to run 5miles

3) If Athlete H runs 2 3/4 miles in 1/2 hour, then the speed of athlete H will be expressed as:

Speed = (2 3/4)/0.5

Speed = 2.75/0.5

Speed = 5.5miles/hr

For Athlete J;

Speed = 5/1

Speed = 5 miles/hr

Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.

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Answer:

9.1

Step-by-step explanation:

To calculate the total interest payable, we use the formula

I=P0rt,

and substituting our values yields

I=$2,400×0.08×1812=$288.

Therefore the total amount he receives at loan drawdown is $2,400−$288=$2,112. To calculate the effective interest rate, we use to formula

A=P0(1+ret).

In this instance we have A=$2,400,P0=$2,112 (redefined from the value above) and t=1.5. We substitute into the formula to get

$2,400=$2,112(1+1.5re).

Solve for re.

24002112=1+1.5re

24002112−1=1.5re

24002112−11.5=re

This gives re=0.0909⋯=9.0909…%,  which is 9.1%

Answer:

f×g=

\( = 2x \times (5x + 2) \\ = 10 {x}^{2} + 4x \\ = 10 \times {3}^{2} + 4 \times 3 \\ = 90 + 12 \\ = 102\)

This is Q.a

I hope this helps

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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It will take 18.9 years for your investment to reach $1,500

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

Initial deposit = 500 dollars

Rate of growth = 6% per year

The above implies that the growth follows an exponential path

An exponential function that represents a growth function is represented as

A(n) = a * (1 + r)ⁿ

Where

A(n) = value of investment after nth year

a = Initial deposit = 500

r = rate of growth = 6%

Substitute the known values in the above equation, so, we have the following representation

A(n) = 500 * (1 + 6%)ⁿ

Evaluate the sum

A(n) = 500 * 1.06ⁿ

When the investment is 1500 grams, we have

500 * 1.06ⁿ = 1500

Divide both sides by 500

1.06ⁿ = 3

So, we have

n = log(3)/log(1.06)

Evaluate

n = 18.9

Hence, the number of years is 18.9

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Answer:

The answer is actually 18.3 Years

Step-by-step explanation:

I got it correct on the test :D

The total value of the annuity in 11 years is $3,426.85.

The Howard family purchases an annuity with a quarterly payment of $178 that earns 4.2% interest, compounded quarterly.

They want to save money to travel the world. Payments will be made at the end of each quarter and they want to know the total value of the annuity in 11 years.

Here are the steps to solve this:

Step 1: First, calculate the total number of payments they will make in 11 years. Since there are 4 quarters in a year, so the total number of payments in 11 years will be 4 x 11 = 44.

Step 2: Now we will find the total value of annuity. Using the formula, we get: A = (P/r) x [1 - (1 + r)^-n], where A = annuity value, P = quarterly payment, r = quarterly interest rate, and n = number of payments A = (178/0.042) x [1 - (1 + 0.042)^-44]A = (178/0.042) x [1 - (1.042)^-44]A = (4238.10) x [1 - (0.1914)]A = 4238.10 x 0.8086A = $3,426.85

Therefore, the total value of the annuity in 11 years is $3,426.85.

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