It is 29.6°C at sea level. The environmental lapse rate between sea level and 1500 meters is 5.5 °C/1000m.
The environmental lapse rate between 1500 meters and 4000 meters is 12.1°C/1000m. The normal lapse rate
exists above 4000 meters. What will the temperature be at 6000 meters? Calculate your answer to one
decimal point.

The length οf each side οf the dilated rectangle is 63 cm.

Dilatiοn is a transfοrmatiοn that changes the size οf the οbject withοut affecting its shape. It invοlves stretching οr shrinking an οbject unifοrmly alοng all its dimensiοns by a fixed scale factοr.

(a) Tο find the length οf each side οf the dilated image, we need tο multiply the οriginal dimensiοns by the scale factοr οf 3.5.

The length οf the dilated rectangle wοuld be:

Length = 18 cm x 3.5 = 63 cm

The width οf the dilated rectangle wοuld be:

Width = 8 cm x 3.5 = 28 cm

Therefοre, the length οf each side οf the dilated rectangle is 63 cm fοr the length and 28 cm fοr the width.

(b) Tο draw the new image A'B'D'C, we can use the fοllοwing steps:

Draw a rectangle with a length οf 63 cm and a width οf 28 cm.

Draw a vertical line thrοugh the midpοint οf the rectangle, dividing it intο twο equal halves.

Label the midpοint οf the line as O, which is the center οf dilatiοn.

Draw lines cοnnecting each cοrner οf the οriginal rectangle tο the center οf dilatiοn.

Extend each line tο dοuble its length, passing thrοugh the center οf dilatiοn and ending at A', B', C', and D'.

Cοnnect the endpοints οf each line tο fοrm the dilated rectangle A'B'D'C.

The resulting image shοuld lοοk like a larger rectangle that is centered arοund the midpοint O and is 3.5 times larger than the οriginal rectangle.

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2 * A/ B= 2 * 12.16  / 3.6 = 6.76

Answer:

The price of the projector is $1,180.

Step-by-step explanation:

295 × 4 = 1,180

first off, let's change all the mixed fractions to improper fractions.

Check the picture below.

\(\stackrel{\textit{\Large Areas}}{\stackrel{\textit{left and right}}{2\left( \frac{4}{3}\cdot \frac{5}{2} \right)}~~ + ~~\stackrel{\textit{front and back}}{2\left( 3\cdot \frac{4}{3} \right)}~~ + ~~\stackrel{\textit{top and bottom}}{2\left( 3\cdot \frac{5}{2} \right)}} \\\\\\ \cfrac{20}{3}+8+15\implies \cfrac{89}{3}\implies 29\frac{2}{3}\)

Answer:

False. The product of two negative integers is a positive integer.

Answer:

It is the one you have selected. "The exact number of children on the playground each day."

Step-by-step explanation:

The stem and leaf plot shows each amount of children specifically. The histogram has the ages in groups. The stem and leaf plot is more specific and shows the inside information while the histogram only shows the number of children and frequency put in groups. I also took the quiz and got this right.

Hope this helps! Make sure to give me brainiest if somebody else answers.

Answer:

The answer is C

Step-by-step explanation:

I did quiz

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

True.

Step-by-step explanation:

you can get 24 when u division 96 by 4.

Answer:

B

Step-by-step explanation:

the first fish tank has 100 gallons of water and 1 gallon is removed every hour which makes 100-h

the second tank has 40 gallons in it and 2 gallons are added every hour which makes 40+2h

after 20 hours the second tank will have more gallons than the first tank

this means that 40+2h would be greater than 100-h since it's also asking you "After how many hours will the first tank  have less water than the second?"

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

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When we do this, the base of the parallelogram has length b 1 + b 2, and the height is the same as the trapezoids, so the area of the parallelogram is (b 1 + b 2)*h. Since the two trapezoids of the same size created this parallelogram, the area of one of those trapezoids is one half the area of the parallelogram

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that exactly 8 tails occur is 0.1963.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of a tail occurring is 0.5, while the probability of a tail, not coming is 0.5, therefore, we can write p=0.5 and q=0.5.

Now, the probability of exactly 8 tails occurring can be written as,

P(X=8) = ¹⁶C₈ (0.5)⁽⁸⁾ (0.5)⁽¹⁶⁻⁸⁾

P(X=8) = 12,870 (0.5)¹⁶

P(X=8) = 0.1963

Hence, the probability that exactly 8 tails occur is 0.1963.

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Answer:

13,780.8 feet

Step-by-step explanation:

1 mile = 1.609km

1 mile = 5,280ft

Convert 4.2km to miles

1.609km = 1 mile

4.2km = 4.2/1.609 miles

= 2.610 miles

Convert 2.610 miles to feet

1 mile = 5,280ft

2.610 miles = 2.610 × 5,280

= 13,780.8 feet

13,782.47 feet is the correct answer i just did this test DUUUH LOL

Answer:

84%

Step-by-step explanation:

The probability that the selected player is a football player, P(F)=19%

The probability that the selected player is a basketball player, P(B)=79%

The probability that the selected player play both football and basketball,

\(P(B \cap F)=14\%\)

We want to determine the probability that a randomly chosen athlete is either a football player or a basketball player, \(P(B \cup F)\)

In probability theory

\(P(B \cup F)=P(B)+P(F)-P(B \cap F)\\=79\%+19\%-14\%\\=84\%\)

The probability that a randomly chosen athlete is either a football player or a basketball player is 84%.

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

When RS.35.25 is converted into paise it will be :

3525 paise

Here given , RS.35.25

We know that,

1 rupee equals 100 paise.

When converting rupees to paise, multiply by 100.

For instance,

Rs 35.25 = Rs 35 + 25 paise.

= 35 x 100 paise + 25 paise

= 3500 paisa + 25 paisa

= 3525 paise.

RS.35.25 = 3525 Paise.

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The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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Answer:

3.79545454545 or 3.7954 with a little line over the 54 showing its repeating.

Answer:

Step-by-step explanation:

Your decimal will be 3.6 because to convert 3 33/55 into decimal:

Step 1: Divided the numerator 33 divided by the denominator 55 33 divided by 55 = 0.6.

Step two: add 0.6 to the integer part. 3 + 0.6 = 3.6

So 3 33/55 as a decimal is 3.6

Here’s the rounded value also:

3 33/55 = 4 rounded to 0 decimal places.

The surface area of a similar cylinder with a diameter 3 cm is  8.4375π cm².

If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be similar if their respective angles are congruent and their corresponding side length ratios are identical.

Given a cylinder with a diameter 8 cm and a surface area 60π cm²

let the radius be  R = dia/2 = 8/2= 4 cm

and let the height be H

total surface area of cylinder  = 2πR(H + R)

60π = 2π(4)(4 + H)

4 + H = 60/8

H = 7.5 - 4

h = 3.5 cm

and a cylinder is similar to given cylinder,

let radius be r and height be h

given dia = 3 cm

r = 3/2 = 1.5 cm

since both cylinders are similar so the ratio of their height to radius is equal,

R/H = r/h

h = Hr/R

h = (3.5)(1.5)/4

h = 1.3125 cm

total surface area of cylinder  = 2πr(h + r)

total surface area of cylinder  = 2π(1.5)(1.5 + 1.3125)

the total surface area of the cylinder  = 8.4375π cm²

Hence the area of a cylinder is 8.4375π cm².

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According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer:

Unforgettable and Chanaynay by wewantwraiths

Step-by-step explanation:

If you like rock or indie, listen to Cage the Elephant (my favorite band) or Declan Mckenna (my favorite artist)

Best Cage the elephant songs:

Aint no rest for the wicked, Cigarette daydreams, Shake Me down, Trouble, Take it or leave it, Telescope, Sweetie little jean, Cry baby, Cold Cold Cold, Come a little closer, Ready to let go, Spiderhead, Aberdeen, Social cues, Tokyo smoke, house of glass, and Hypocrite

Best Declan Mckenna songs:

Brazil, Beautiful faces, The key to life on earth, Rapture, Why do you feel so down, Humongous, Make me your queen, Daniel your still a child, Listen to your friends, Bethlehem, I am everyone else, Sagittarius A*, and British Bombs

I hope you enjoy these songs :)

Given:

The function of f(x) resembles the function G(x) with a reflection over the x-axis

To find:

the function of f(x)

A reflection over the x-axis is given as:

Answer:

To break even, the expected revenue from selling extended warranties should be equal to the expected cost of replacing the failed products. Let's calculate these values.

Assuming the company sells 1000 products, 4% of them (i.e. 40 products) are expected to fail after the original warranty period but within 2 years of the purchase. Each replacement costs $300, so the total expected cost of replacements is:

40 x $300 = $12,000

To calculate the expected revenue from selling extended warranties, we need to know how many customers will buy them. Let's assume that the company offers the extended warranty for $x and that p% of customers buy it. Then the expected revenue from selling extended warranties is:

1000 x p x $x

We want the expected value to be 0, so:

1000 x p x $x = $12,000

Solving for $x, we get:

$x = $12,000 / (1000 x p)

Now we need to find the value of p that makes $x equal to the cost of the extended warranty. Let's assume that the cost of the extended warranty is $y. Then:

$x = $y

$12,000 / (1000 x p) = $y

p = $12,000 / (1000 x $y)

Substituting the given values, we get:

p = $12,000 / (1000 x $300)

p = 0.04

So the company needs to sell the extended warranty to 4% of customers to break even. The price of the extended warranty should be:

$x = $12,000 / (1000 x 0.04)

$x = $3

Therefore, the company should charge $3 for the extended warranty to break even

Answer:

103

Step-by-step explanation:

For any Triangle, The Sum of Interior Angles = 180°

So, For Triangle ABC ---> m∠A + m∠B + m∠C = 180°

By Substituting by the Givens m∠A =68 and m∠B=9

68 + 9 + m∠C = 180

77+ m∠C=180

Subtract 77 from both Sides

m∠C=180-77=103°

Answer:

2×3\5×2\5=60

Step-by-step explanation:

first of all do multiply then cut both 5 and at last divide the Answer comes 60

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

To calculate the inverse x is f^-1 (x)and f (x) is x, just like that

Answer:

40

Step-by-step explanation: