You decide to take a hot air balloon ride and remember to take binoculars to look around while you are airborne. As the balloon rises, you use a GPS to determine your height in meters, h, and the distance in kilometers, d, to the farthest object that you can see. The table below shows the two measurements.


Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598

1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.

2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

Jawad has seven rocks.
The total weight of all seven rocks is 5 kilograms.
6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams, of the other rock.

Answers

680 grams
thats the answer

I performed a transcriptome analysis (Clariom D Array, Affymetrix) of two groups of subjects (human tissue) by using Transcriptome Analysis Console (TAC; Affymetrix) and Partek software and same cutoff (n=20; FC greater than 1.5 and P value less than 0.05). However, the overlap between differential expressed genes between both software was quite low.

someone has some comment about why this may be happening?

You want to buy some noodles. A 9 ​-ounce package costs ​$3.15. A 15​-ounce package costs ​$5.55. A 24​-ounce package costs ​$7.92. Which package is the best​ buy?
PLEASE ANSWER QUICKLY

Answers

Answer:

A 14-ounce package that costs $5.46

Step-by-step explanation:

hope it helps ;)

4. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is

leaving the intersection at a rate of 2 feet per second and bike B is leaving the

intersection at 3 feet per second. How fast is the distance, in feet per second between

them changing after 5 seconds?

Answers

Answer:

[tex]\sqrt{13}[/tex]

The rate of change of distance between two cars at the given time is required.

The required rate of change is [tex]\sqrt{13}[/tex] feet/s

Rate of change

a = Distance covered in 5 s by bike A = [tex]2\times 5=10\ \text{feet}[/tex]

b = Distance covered in 5 s by bike B = [tex]3\times 5=15\ \text{feet}[/tex]

c = Distance between A and B in 5 s = [tex]\sqrt{10^2+15^2}=5\sqrt{13}\ \text{feet}[/tex]

Applying Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

Differentiating with respect to time

[tex]2a\dfrac{da}{dt}+2b\dfrac{db}{dt}=2c\dfrac{dc}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{10\times 2+15\times 3}{5\sqrt{13}}\\\Rightarrow \dfrac{dc}{dt}=\sqrt{13}\ \text{feet/s}[/tex]

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Simplify the fraction.​

Answers

You simplify to get the answer 3b/4a^2

Answer:

3b/4a²

Step-by-step explanation:

3a²*4b³/16(a²b)²

12a²b³/16a⁴b²

12b/16a²

3b/4a²

What is the quotient of 25.95 divided by 50.25? *

Answers

Answer:

Quotient: 2

Remainder: 0

50 = 25 × 2 + 0

Step-by-step explanation:

Answer:0.516

Step-by-step explanation:You need to divide 29.25 by 50.25.

2:4:2 in simplest form ratio

Answers

Answer: 1 : 2 : 2

Step-by-step explanation:

2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.

HELP PLEASE

Consider the line y = 6x-7. Find the equation of the line that is perpendicular to this line and passes through the point (8, 3). Find the equation of the line that is parallel to this line and passes through the point (8, 3).​

Answers

Answer:

y = (-x + 8)/6

Step-by-step explanation:

y =6x-7

gradient of perpendicular to the line above is -1/6.

using the point (8,3)

y - y1 = m(x - x1)

y - 3 = -1/6(x - 8)

6y-18 = -1(x - 8)

y = (-x + 26)/6

B
С
Move vertex D and observe how the measures change.
Make a conjecture. Which of the following statements appear to be
true? Check all that apply.
VX
AC and BD are always equal.
AE and CE are always equal.
BE and DE are always equal.
AC and BD always bisect each other.
AC and BD are always perpendicular
A
D
AE = 40 units
CE = 40 units
BE = 32 units
DE = 32 units
Check
Intro

Answers

Answer:

Step-by-step explanation:

it’s B,C,D

What operations would you perform, and in what order would you perform them to solve
1 ÷ 5n = 20?

Answers

Answer:

cross multiplication

Step-by-step explanation:

1 5n

_ _

_

Question 6
What does the relationship between the slopes of corresponding line segments in the prelmage and in the image imply about the line segments?
In other words, what do you know about two or more line segments that have the same slope?

Answers

Two or more line segments that have the same slope are parallel to each other.

Any lines graphed by a system of equations with the same slope will be parallel to each other.

Therefore, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.

What is the slope of line?

The slope of a line is its vertical change divided by its horizontal change, also known as rise over run.

When the two or more line segments that have the same slope are parallel to each other.So, the lines graphed by a system of equation is also same slope which would be parallel to each other.

Hence, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.

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Use the Zero Product Property to find the x-intercepts for y=3(x−5)(2x+3)

Answers

Answer: The X intercepts are 5 and -3/2

What is the slope of the line which passes through the points (4,-5) and (3,7)?

Answers

Answer:

m = -12

Step-by-step explanation:

Formula:

m = (y2 - y1) / (x2 - x1) => plug in points

(4,-5) and (3,7)

The number of grams of zero-calorie sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.


Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal?


It is a weak positive correlation, and it is not likely causal.

It is a weak positive correlation, and it is likely causal.

It is a strong positive correlation,and it is not likely causal.

It is a strong positive correlation, and it is likely causal.

Answers

Answer: It is a strong positive correlation,and it is not likely causal.

Step-by-step explanation: Correlation Coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.with negative values depicting a negative relationship and positive values showing positive relationship. Value of 0 implies that, no relationship exists. The closer the correlation Coefficient value is to +1 or - 1, the greater the strength of the relationship between them. Also correlation does not mean causation. Hence, a correlation coefficient of 0.74 depicts a strong positive relationship. However it doesn't imply causation.

The given correlation is strong positive correlation,and it is not likely causal.

We have given that,

The correlation coefficient relating the two variables is 0.74.

What is the correlation coefficient?

Correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.

The correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.

with negative values depicting a negative relationship and positive values showing positive relationship.

The value of 0 implies that, no relationship exists.

The closer the correlation coefficient value is to +1 or - 1, the greater the strength of the relationship between them.

Also correlation does not mean causation.

Hence, a correlation coefficient of 0.74 depicts a strong positive relationship.

However it doesn't imply causation.

We have the given correlation coefficient relating the two variables is 0.74 and it is near +1

Therefore,the given correlation is strong positive correlation,and it is not likely causal.

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The diagram below shows an angle, 0, graphed in the xy -coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT
and RM are radii of the unit circle centered at the origin R (0,0).

The x-coordinate of point M is -1/2. What is the measure of 0 to the nearest thousandth of a radian.

Answers

Answer:

Step-by-step explanation:

for this problem u need the unit circle.

In the unit circle there is a point with -1/2 as the x value that is at 240 degrees.

then you convert 240 degrees to radians --> 240 X pi/180 = 4.189

the unit circle is below, you needa remember for the test

Good luck on your EOC, i'm doing it too

A robin perched in a tree 40 feet above sea level. Directly below the robin, a seagull is flying 13 feet above sea level. Directly below the birds is a clownfish, swimming 33 feet below sea level.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll solve on a general terms.

Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish

The given parameters are:

[tex]Robin = +40ft[/tex]

[tex]Seagull= +13ft[/tex]

[tex]Clownfish= -33ft[/tex]

+ represents above sea level while i represents below

The distance is then calculated as:

[tex]Distance = Robin - Clownfish[/tex]

[tex]Distance = +40ft - (-33ft)[/tex]

[tex]Distance = +40ft +33ft[/tex]

[tex]Distance = 73\ ft[/tex]

Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest

Answers

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and  the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters

6. What is the smallest whole number that is a solution to 3x > 21?
A6
B. 7
C. 8
D.9

Answers

Answer:

probs c

Step-by-step explanation:

c bc 3x>21 is x>7

the smallest whole number out of the multiple choice answer that fits into the solution is 8

Answer:

C. 8

Step-by-step explanation:

To answer you must first solve the inequality, do this by dividing both sides by 3. [tex]\frac{3x}{3} > \frac{21}{3}[/tex], which simplifies to x > 7. This means that x must be greater than 7 without being 7 because the inequality does not use the "or equal to" sign. Therefore, 8 must be the correct answer because it is the smallest whole number that is larger than 7.


The circle shown has a radius of 12 mm
12 mm
What is the circumference of the circle?
A. 6 mm
B. 12 mm
C. 24 mm
D. 362 mm

Answers

D kakakaksjbdjdisbaiabsi

HELP PLZ Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?
69% 42% 57% 83%

Answers

Answer:

D

Step-by-step explanation:

Just took the quiz

The confidence interval that  would produce the widest interval when estimating the mean of a population should be 83%.

What is  a confidence interval?

It refers to the range of values where the sample should be watched also in this the value should be determined that correctly represent the population.

Also, the more the confidence interval the more should be the widest interval.

Therefore, the last option is correct.

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Help meeeee someone I will give u 5 point

Answers

Answer:

Length of the ladder = 9.5 feet

Step-by-step explanation:

Point A of ladder AC is at 9 ft from the ground and point C is 3 feet from the base of the wall,

AB = 9 feet

BC = 3 feet

By applying Pythagoras theorem in the right triangle,

AC² = AB² + BC²

AC² = 9² + 3²

AC² = 81 + 9

AC = √90

     = 9.486 feet

     ≈ 9.5 feet

Therefore, length of the ladder is 9.5 feet.

Evaluate.
(4/9)^2 pleaseee

Answers

Answer:

simplified: (16/81)

rewritten: (2/3)^4

Step-by-step explanation:

hope this helps! if wrong you can delete it :)

what’s the answer
r+11+ Br= 29

Answers

r= 18/1+b

B= -1 + 18/r

Please help me I don’t know this

Answers

Answer:

Quotient: 56 Remainder: 3

What is 9 5/32 as a decimal

Answers

Answer:

The correct answer is 9.15625

✧brainliest appreciated✧

Answer:

9.15625

Step-by-step explanation:

step 1- Convert the proper fraction to decimal: Divide the numerator by the denominator: 5 ÷ 32 = 0.15625

step 2- Add this decimal number to the whole number of the mixed fraction: 9+ 0.15625 = 9.15625

Therefore, the mixed number 9 5/32 converted to decimal number is: 9.15625

(can i get brainliest)

A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?
do step by step

Answers

Answer:

7/12 lb of sugar.

Step-by-step explanation:

first we add 1 2/3 and 2 3/4, which will give you 4 5/12 then subtract 5 lb by 4 5/12 and your answer will be 7/12

Which expression is equivalent to 2( 7c - 8 )?

Answers

Answer:

14c-16

Step-by-step explanation:

Answer:

14c - 16

Step-by-step explanation:

2( 7c - 8 )  All you do is distribute:

14c - 16

Ace

A quadrilateral has
no pairs of parallel
sides. What two
Shapes could it be?
(Not trapezium/trapezoid
kite, rhombus)

Answers

Answer:

parallelism

Step-by-step explanation:

I'm just looking also the answer!

Help, Please and thank you!

Answers

Answer:

Last one

Step-by-step explanation:

The slope intercept form is: y=mx +b

m=the slope and b is the y intercept

so it would be the last one

Each square on a grid represents one unit on each side.

Calculate the slope of graph D. Explain or show your reasoning.

Answers

Answer:

Slope = -4

Step-by-step explanation:

The slope is negative because the line is going down.

The line goes down 4 times and goes right once = 4

The required slope of the given graph would be - 4 which is a negative slope.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph is given in the question

Each square on a grid represents one unit on each side.

We have to determine the slope of the given graph D

According to the given graph, we take two points (4, 12) and (7, 0)

The slope of a line is defined as the gradient of the line.

It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Slope m = (0 - 12)/(7 -3 )

Slope m = -12/3

Slope m = -4

Thus, the required slope of the given graph would be - 4

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Simplify the expression.
3.7 - 4.7n - 3n + 8

Answers

-7.7n + 11.7 should be correct
-7.7n+11.7 is the correct answer
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