Leah took her friends for a ride in her hot air balloon. The function fff models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.
Plot the point on the graph of fff that corresponds to when the hot air balloon landed.

Answers

Answer 1

Answer: point (60,0)

Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground

Answer 2

The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.

What is function?

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

r(t) = 210 - 15t

Calculate the height after 10 minutes as shown below,

The height = 210 - 15 × 10

The height = 210 - 150

The height = 60

At time 0 the height will be,

The height = 210 - 15 × 0

The height = 210 - 0

The height = 210 meters,

Thus, the coordinates will be (210, 0) and (60, 10)

To know more about function:

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Leah Took Her Friends For A Ride In Her Hot Air Balloon. The Function Fff Models The Height Of The Hot

Related Questions

16 is 80% of what number?
O A. 20
O B. 12.8
O C. 500
O D. 128

Answers

Answer:

A. 20

Step-by-step explanation:

1. To solve this problem, instead of doing 80/100 times 16, we can do 100/80 times 16 (inverse of percentage, basically).

[tex]\frac{100}{80} *16[/tex] [tex]\frac{5}{4} *16[/tex] [tex]\frac{80}{4}[/tex] [tex]20[/tex]

Therefore, the answer is A. 20.

3) 21а⁹ - ба⁴
Factor by GCF​

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex] = 3a ^{4} \times (7 {a}^{5} - 2)[/tex]

Step-by-step explanation:

[tex]21 {a}^{9} - 6 {a}^{4} [/tex]

factor out 3 a⁴ from the expression

[tex] = 3 {a}^{4} \times (7 {a}^{5} - 2)[/tex]

hope it helps

[tex] \: \: \: \: \: \: [/tex]

pls help fastttttttttttttttttttttttttt

Answers

Answer:

y = 5 x + 7

Step-by-step explanation:

Are the following two lines parallel, perpendicular, neither, or the same line?
3x+4y = 2
4x+3y = 2
what are they?

Answers

Answer:

Neither.

Step-by-step explanation:

Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].

In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].

Let's see what we get.

(1)

[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]

(2)

[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]

They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.

Also, you can graph these equations on desmos and see easily that they have none of these relationships.

Evaluate the following expression. 12!

Answers

Answer:479001600

Step-by-step explanation:

12 factorial is 12 * 11 * 10 ..... all the way to one

A way to do it by hand is

12 * 1

11 * 2

10 * 3

9 * 4

8 * 5

7 * 6

stop here because 6 * 7 and 5 *8 are already listed

This gives you 6 products then multiply those 6 products by pairs which gives you three pairs which gives you three products then compute a pair then multiply by last product.

Easy math but a lot of written work

A(-5, -4) → A' is a glide reflection where the translation is (x, y) → (x + 6, y), and the line of reflection is y = 3. What are the coordinates of A'?

A. (1, -4)
B. (-5, 2)
C. (1, 10)
D. (11, 2)

Answers

Answer:

(1, -4)

Step-by-step explanation:

(-5,-4) -> (x,y) so x = -5 and y = -4. Apply the rule (x+6,y) to that point by substituting in your x and y values.

(-5+6,-4) = (1, -4)

a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?

Answers

Answer:

$20

Step-by-step explanation:

correct me if im wrong(┬┬﹏┬┬)

30x^8-4x^7+6x^4/-6x^3 perform division

Answers

Answer:

[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]

Step-by-step explanation:

[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]

The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.

[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]

Next, you can simplify 2/6 to 1/3:

[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]

Finally, the last thing you can do is simplify x⁴/x³ to x/0:

[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]

That's as simplified as it gets.


A patient is prescribed Coreg 12.5 mg by mouth twice a day. How many tablets should the patient
receive for one dose if the medication available is 6.25 mg/tablet?

Answers

Answer:

yes...

Step-by-step explanation:

k

What is the y intercept of y= 3x + n

Answers

Answer:

Step-by-step explanation:

1

The y intercept would be


(0,3x)

Are the triangles similar? Why?

Answers

Answer: Yes

Step-by-step explanation: They are similar because it the same kind of triangle just ones smaller and the other is bigger.

Yes because they are both right triangles but one is bigger than the other.

Which equation represents a line which is parallel to the line y=1/5x -1
5x +y =3
X+ 5y =10
5y - x = -20
5x - y = -3

Answers

9514 1404 393

Answer:

  (c) 5y - x = -20

Step-by-step explanation:

When the x- and y-terms are on the same side of the equation, the slope of the line will be ...

  m = -(coefficient of x)/(coefficient of y)

So, the slopes of the offered choices are ...

  a) -5/1 = -5

  b) -1/5

 c) -(-1)/5 = 1/5 . . . . . parallel to given line

  d) -5/-1 = 5

The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.

What is the slope of a line passing through the points (2, 5) and (0, −4)?

Answers

Answer:

9/2

Step-by-step explanation:

m=∆y/∆x

m= (5+4)/(2—0)

m=9/2

3. Wu saved $75 towards a new $250 mountain bike. What percent of the total cost of the bike has Wu saved?​

Answers

Based on the information given the percent of the total cost of the bike has Wu saved is 30%.

Using this formula

Total cost percentage=Amount saved/Cost×100

Where:

Amount saved=$75

Cost =$250

Let plug in the formula

Total cost percentage=$75/$250×100

Total cost percentage=30%

Inconclusion the percent of the total cost of the bike has Wu saved is 30%.

Learn more here:

https://brainly.com/question/17157877

Complete the statement based on the following information.

Answers

9514 1404 393

Answer:

  (c)  ΔTRS

Step-by-step explanation:

Perhaps the easiest way to find corresponding vertices is to look at the angle markings:

  1 mark: angles J and T

  2 marks: angles K and R

  3 marks: angles I and S

Then, in order of corresponding angles, we have ...

  ΔJKI ≅ ΔTRS

(Express these ratios in their simplest form)
Shesho and Merto share a pizza in the ratios 3: 4 respectively. What fraction of the pizza did each get?

BRAINLIEST**

Answers

Answer:

3:4 itself.

3:4 itself.

Step-by-step explanation:

3:4 itself.

What is the product 1.3 × 0.71? Enter your answer in the box.

Answers

Answer:

.923

Step-by-step explanation:

1.3 X 0.71 = .923

:))

Need help with this question ASAP tysm​

Answers

Step-by-step explanation:

sorry for my bad handwriting, hope it helps

Graph the linear equation. X = - 4y​

Answers

Slope is rise .5 run of 2

original price of a truck $ 17,100.00 Tax 2.5%

Answers

Answer:

Sales Tax Only: $427.50

Total Price: $17,527.50

If 2x - 3x = 3 what is 16x / 64x?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The problem [tex]2x - 3x = 3[/tex] is incorrect. The correct answer for that one is [tex]-x \:\sf{or\:-1[/tex]

[tex]\sf{Simplify\: the\: expression.[/tex]

[tex]\sf{\frac{16x}{64x} = \frac{1}{4}[/tex]

[tex]x=\frac{1}{4}[/tex]

Therefore, the answer is [tex]\frac{1}{4}[/tex]

What is 608 + 17.25?

Answers

Answer:

625.25

Step-by-step explanation:

the answer is 625.25

Answer: 625.25

Step-by-step explanation:

find the point (x,y) on the curve where dy/dx = 0

Answers

a. By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives

[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]

[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]

and so

[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]

Set this equal to zero and solve for t :

[tex]1-e^{2t} = 0[/tex]

[tex]1 = e^{2t}[/tex]

[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]

[tex]0 = 2t \ln(e)[/tex]

[tex]0 = 2t[/tex]

[tex]t=0[/tex]

This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).

b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,

[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

We have

[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]

and we've already committed dx/dt. So

[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]

Substitute the first and second derivative into the differential equation:

[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]

[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]

[tex]4e^{6t} -e^{2t}= 0[/tex]

[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]

[tex]4e^{4t} - 1 = 0[/tex]

[tex]4e^{4t} = 1[/tex]

[tex]e^{4t} = \dfrac14[/tex]

[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]

[tex]4t \ln(e) = -\ln(4)[/tex]

[tex]4t = -\ln(4)[/tex]

[tex]t = -\dfrac{\ln(4)}4[/tex]

QUESTION 7.1 POINT
Translate the given phrase into an algebraic expression and simplify if possible: the difference of -3 and the product of w
and 2

Answers

Answer:

-3 - (2w)

Step-by-step explanation:

hope this helps!

PLSSS HELP
tge question is in the picture​

Answers

-2 1/2 - (-1 3/4)

When subtracting a negative vile the equation becomes addition:

-2 1/2 + 1 3/4 = -3/4

Answer: -3/4

which has one solution:
2x + 2y = 180
0.1x + 7y = 78

Answers

Add all that up =189 / it

[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!

Answers

Answer:

10.4

Step-by-step explanation:

x=3⇒f(3)= 4×3+3=15

x=3⇒g(3)=8/3+2≈4.6

f(3)-g(3)=15-4.6=10.4

Need all of these answers please

Answers

Can someone help me it’s enfold
topic: segment…

1) x=32, ST=96, TO=96
2) x=7, DO=25, OG=35
3) m4) no fkn clue

topic: mid + dis

1)
a. 3, -2.5
b. 4, -7
2)
a. ≈7.211
b. ≈4.24
3)
a. 14, -8
b. -2, 11
4) CE=4

-
4. 3x² - 2x - 1 = 0

Answers

If you’re solving for x
x = -1/3 or x = 1

what is the sum of the 5th cube number an the 2nd cube number

Answers

Answer:

i think it is :

5×5×5=125

2×2×2=8

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