Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Related Questions
Find the x-intercept of the graph of the linear equation y = −12x + 3.
Answers
Answer:
x-intercept = (1/4, 0)
Step-by-step explanation:
Just change the y to 0 if you want to find the x-intercept of a linear equation.
0=-12x+3
-12x=-3
x=1/4
y=0
x-intercept = (1/4, 0)
0 = -12x + 3
X = 1/4
A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?
Answers
y is the seats in the large van = (x + 6). Since the large has 6 more seats.
Since the 2 vans can transport 57 people.
Small van makes 2 trips = 2x.
Large van makes one trip = (x + 6).
2x + (x +6) = 57
2x + x + 6 = 57
3x + 6 = 57
3x = 57 -6
3x = 51
x = 51/3
x = 17.
The larger van has (x + 6) = (17 + 6) = 23.
The larger van has 23 seats.
Answer:
The larger van has 23 seats
Step-by-step explanation:
Create a system of Equations:
1. Define variables.
> let x=small van and y=larger van
2. create 2 equations based on the information given.
> y = 6 + x
> 2x + y = 57
3. Use any method to solve
Substitution: 2x + (6 + x) = 57. x=17
now plug x in to the original equation to solve for y (the larger van)
y = 6 + 17 and y = 23
Elimination: 2y = 12 + 2x
y = 57 - 2x
3y = 69 and y = 23
A 4-column table with 4 rows. Column 1 is labeled number of friends with entries 3, 5, 7, 9. Column 2 is labeled Carnival Cost with entries 51.5, 75.5, 99.5, 123.5. Column 3 is labeled Aquarium Cost with entries 43.5, 72.5, 101.5, 130.5. Column 4 is labeled Wave Pool Cost with entries 50.25, 61.25, 85.75, 110.25.
Gale wants to compare the cost of the events.
Aquarium: $14.50 each ticket
Carnival: c = 15.5 + 12f
Wave pool: $16.75 each, but $12.25 each for groups larger than 4
Which of the claims Gale makes is true?
The table represents all possibilities.
The carnival always costs the least.
The Aquarium always costs the most.
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Answers
Answer:
D.(7, 101.5) is an ordered pair used to represent the aquarium cost.
Hope it helps :)
Step-by-step explanation:
Answer: it is d - (7, 101.5) is an ordered pair used to represent the aquarium cost
Step-by-step explanation: got it right on edge 2022
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Answers
Answer:
ssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
¼. 1000
Step-by-step explanation:
25% = 25/100
= 1/4
Therefore,
25% of 1,000 is the same as
1/4. 1000
The width of this rectangle is measured as 19.4 correct to 1 decimal place. What is the lower bound for the area of the rectangle
Answers
Answer:
:D
Step-by-step explanation:
19.35 = 7062.75 mm²
Help please
If the measure of angle 6 is 140 degrees and the measure of angle 7 is (x + 30) degrees, what value of x will guarantee n ∥ m?
Answers
Answer:
x = 10
Step-by-step explanation:
If n // m , then angle 6 and angle 7 are co interior angles and they are supplementary.
∠6 + ∠7 = 180
140 + x +30 = 180
x + 170 = 180
x = 180 - 170
x = 10
PLEASE HELP.
if v1….
Answers
Which rates are equal? Choose 2.
A. 630 miles per 9 hours
B. 1,320 miles
per 24 hours
C. 1,170 miles per 18 hours
D. 455 miles per 7 hours
E. 840 miles per 14 hours
Answers
Answer:
C. 1170 miles per 18 hours
D. 455 miles per 7 hours
Step-by-step explanation:
1170/18=65
455/7=65
If y is proportional to x, find the missing number.
A. 15
B. 12
C. 16
D. 18
HELPPP!!!!
Answers
Answer:
C. 16
Step-by-step explanation:
5 is half of 10, so 8 should be half of the next number.
Answer:
C. 16
Step-by-step explanation:
[tex] \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} [/tex]
cross multiplying
[tex]16 = ?[/tex]
so the missing number is 16
Drag the tiles to the correct location on the image.Not all tiles will be used.
Answers
Answer:
Given,
side=4√5 millimetres
=4×4√5
=16√5
Perimeter= 16√5 milimetre
Area= side× side
=4√5 × 4√5
=80
Area= 80 square milimeters
------------------------------
hope it helps...
have a great day!
Answer:
solution:-Given,
side=4√5 mm
=4×4√5
=16√5
Perimeter= 16√5 mm
Area= side× side
=4√5 × 4√5
=80
Area= 80 square milimeters
------------------------------
hope it is helpful to you
stay safe healthy and happy
what s the equation of the line through the origin and (-2, 3)
Answers
Answer:
y=[tex]\frac{-3x}{2}[/tex]
Step-by-step explanation:
Hi there!
We need to find the equation of the line that passes through the origin (the point (0,0)) and (-2,3)
There are 3 ways to write the equation of the line, although the most common way is slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
So we need to find the slope of the line first
The formula for the slope (m) calculated from two points [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points
We have the needed information to calculate the slope, but let's label the values of the points to avoid any confusion
[tex]x_{1}[/tex]=0
[tex]y_{1}[/tex]=0
[tex]x_{2}[/tex]=-2
[tex]y_{2}[/tex]=3
Now substitute their values into the equation and find m
m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m=[tex]\frac{3-0}{-2-0}[/tex]
subtract
m=[tex]\frac{3}{-2}[/tex]
so the slope of the line is [tex]\frac{3}{-2}[/tex]. It can also be rewritten as [tex]\frac{-3}{2}[/tex]
Here is the equation of the line so far:
y=[tex]\frac{-3x}{2}[/tex]+b
we need to find b
As the equation passes through both (0,0) and (-2,3), we can use either one of them to solve for b
Let's take (0,0) for this case
Substitute 0 as x and 0 as y
0=-[tex]\frac{3}{2}[/tex](0)+b
multiply
0=0+b
add 0 to both sides
0=b
So b is 0
The equation of the line therefore is y=[tex]\frac{-3x}{2}[/tex]
Hope this helps!
can anyone answer this? (2y²-3xy)÷y.
Answers
Answer:
2y - 3x
Step-by-step explanation:
Given
(2y² - 3xy) ÷ y
Divide each term on the numerator by y , that is
[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )
= 2y - 3x
I don’t know the answer so ignore the checked box
Answers
Answer:
CDHG
Step-by-step explanation:
Because you can go in that order and be able to get to the next letter. In the other option you cannot
please answer
HCF of 16 and 40
Answers
Answer:
8
Step-by-step explanation:
please tell me the answer to this, thanks
Answers
Step-by-step explanation:
Hey there!
The equation is: 2x + 3y -12=0 (i)
From the given equation;
Slope (m) = (-coeff.of X)/(coeff.of y)
m = -2/3
Now; Let the missing component be "a".
The equation also can be written in;
The equation also can be written in;(y-8) = -2/3(x-a) (using one point formula)
3y - 24 = -2x + 2a
2x +3y -2a -24 = 0………(ii)
Since both equation are made from same coordinates, equating equation (i) and (ii).
2x + 3y -12= 2x +3y -2a -24
Cancel like terms,
-2a - 24 = -12
or, -2a = 12
or, a = -6.
Therefore, the missing value is -6.
Check:
Putting the value "a" in equation (ii).
2x + 3y -2(-6) -24 = 0
or, 2x+3y -12 = 0 (which is equal to equation (i).
Hope it helps!
How do I solve for X HELP
Answers
Answer:
x = 4 degrees
Step-by-step explanation:
The two angles have the same measurement. They are opposite angles.
26x + 7 = 31x - 13
Group like terms:
26x - 31x = -13 - 7
-5x = -20
x = 4
Check if you want to make sure.
Step-by-step explanation:
[tex]here \: is \: your \: solution : - \\ \\ both \: angles \: are \: equal \: (vertical \: anges) \\ \\ 26x + 7 = 31x - 13 \\ \\ solving \: the \: equation \: \\ \\ 26x - 31x = - 13 - 7 \\ \\ - 5x = 20 \\ \\ x = -20 \div 5 \\ \\ x = \: 4 \: degrees \: \: \: \:(Answer ✓✓✓( \\ \\ \huge\mathcal\blue{happy \: life (. ❛ ᴗ ❛.) }[/tex]
PLEASE HELP NEED HELP W ALGEBRA 2 QUESTION!!
the graph of f(x) = 3 sqr root x+8 is shown which statement is true
1. The function is only increasing x > -8
2. The function is only increasing when x > 0
3. The function is always decreasing
4. The function is always increasing
Pls say what number choice in your answer! Thanks!
Answers
Answer:
2. increasing when x > 0
the result of root is a positive number
and since there is no value of neg number in roots so it's increasing when x>0
plus in zero it self has a positive number (0,8)
but u cannot find either it's increasing or decreasing in zero bcoz in first derivative test
when x =0
y= not defined
Find x if : (-3/7)^-19 ÷ (-3/7)^8 = (-3/7)^- 2x+1
Answers
Answer:
x=14
Step-by-step explanation:
(-3/7) power (-19-8)= (-3/7) power -2x+1
-19-8= -2x+1
-27= -2x+1
-27-1= -2x
-28= -2x
x=28/2
x=14
Find the measure of the indicated angle.
Answers
2x + 40 = 180
2x = 140
x= 70
answer is 70
A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.
Using an exponential function to model the number of students y in the graduating class t years after 2010 to predict the number
of students in 2017?
Answers
Hello,
[tex]u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}[/tex]
Using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4
What is an exponential function?y = abˣ, where a is the initial population, b is the rate, and x is the time, is the standard exponential function.
How to solve this problem?Here initial student population = 4000.
Rate = 5% = (100 + 5)/100 = 1.05
Time = 7 years.
Now, in 2017, the population will be y = 4000 * (1.05)⁷ = 5628.401691 ≅ 5628.4.
Therefore, using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4
Learn more about exponential function here -
https://brainly.com/question/14551308
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Hello, Brainly community!
This question is for all of those Calculus people out there.
The volume of a swimming pool is changing with respect to time, such that the volume is given by W(t), where W(t) is measured in cubic centimeters and t is measured in seconds. A tangent line is shown for W(t) at t = 3 seconds. Determine the best estimate for the value of the instantaneous rate of change of W(t) when t = 3.
(I've narrowed down the answer choices to 2, and just really need to find the right way of thinking to find the answer)
(A) W(lim t) as t goes to 3.
(B) [W(3.1) - W(2.9)] / 0.2.
Thank you in advance!
Answers
Answer:
(B) [tex]\displaystyle \frac{W(3.1) - W(2.9)}{0.2}[/tex]
General Formulas and Concepts:
Calculus
Limits
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Instantaneous Rates
Tangent Line: [tex]\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Since we are trying to find a rate at which W(t) changes, we must find the derivative at t = 3.
We are given 2 close answer choices that would have the same numerical answer but different meanings:
(A) [tex]\displaystyle \lim_{t \to 3} W(t)[/tex](B) [tex]\displaystyle \frac{W(3.1) - W(2.9)}{0.2}[/tex]If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the rate at which the volume would be changing and it is not a derivative.
If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a derivative at t = 3, and a derivative tells us what rate something is changing.
∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when t = 3.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
PLEASE HELP I'LL MARK BRANLIEST!
Activity Gina is playing dominoes with her family. She and her brother, Greg, are playing as a team (team A) against their parents (team B). The table shows how many points the two teams have scored in each round. Gina is keeping track of the scores and wants to know which measures of center and spread best represent each team’s data.
Team A: 15 20 15 5 10 15 10 15 5 20
Team B: 20 15 25 30 20 25 0 15 25 30
Part B What is the mean score for team A? Show your calculation.
Answers
Answer:
Mean of team A is 13
Step-by-step explanation:
I hope it helps:)
(NEED THIS ASAP)
Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 1.3 x 10-9. Find the approximate pH of each liquid using the formula pH = -log (H+), where (H+) is the hydrogen ion concentration The pH value of the apple juice is___ The pH value of ammonia is____
1.pH of apple juice
A. 8.11
B. 1.75
C. 3.5
D. 2.1
2. pH of ammonia
A. 1.1
B. 7.0
C. 5.4
D. 8.9
Answers
Answer: I believe but not 100% sure
1) C
2) B
Step-by-step explanation:
The pH value of the apple juice is 3.5, option C) is the correct answer.
The pH value of the ammonia is 8.9, option D) is the correct answer.
What is pH of solution?The pH of a solution is defined as the logarithm of the reciprocal of the hydrogen ion concentration [H+] of the given solution.
From the formular;
pH = -log[ H⁺ ]
Given the data in the question.
For the Apple juice;
hydrogen ion concentration H⁺ = 0.0003 pH of the apple juice pH = ?pH = -log[ H⁺ ]
pH = -log[ 0.0003 ]
pH = 3.5
The pH value of the apple juice is 3.5
Option C) is the correct answer.
For the ammonia;
hydrogen ion concentration H⁺ = 1.3 × 10⁻⁹pH of the ammonia pH = ?pH = -log[ H⁺ ]
pH = -log[ 1.3 × 10⁻⁹]
pH = 8.9
The pH value of the ammonia is 8.9
Option D) is the correct answer.
Learn more about pH & pOH here: brainly.com/question/17144456
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PLEASE HELP!!!!!!!!!
A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t-3)^2
a. In the context, what is a suitable domain for the graph of this system?
b. At what time will both cars have driven the same distance?
c. How far will they have driven at this time?
Answers
Answer:
15.66
Step-by-step explanation:
A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcom cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15
players? Round to the nearest cent.
O S34.05
0 $42.72
57.661.25
59.611.25 hurry I'm being timed!
Answers
Answer:
$34.05
Step-by-step explanation:
What is the largest prime number less than 200?
Answers
Answer:
199Step-by-step explanation:
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.
A prime number is a number that has only two divisors: 1 and itself.
Exaples:
2, 3, 5, 7, 11, 13, 17, 19, 23 ...
We know: all primes except 2 are odd.
Let's check the number 199:
We know:
13² = 13 · 13 = 169 < 200
17² = 17 · 17 = 289 > 200
199 : 3 is not an integer
199 : 5 is not an integer
199 : 7 is not an integer
199 : 11 is not an integer
199 : 13 is not an integer
199 : 17 is not an integer
Therefore 199 is thelargest prime number less than 200.
Which equation in slope-intercept form represents a line that is parallel to y=-4x-5 and passes through the points (0,0)?
Answers
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
Hello can someone help me with this problem
Answers
find the next four terms of the sequence 5, 4, 9, 13, 22
Answers
Answer:
38
Step-by-step explanation:
The first term of the given sequence is 9.
The second term is 13
= 9 + 4 . = 9 + 2 × 2.
The next number is 22.
= 13 + 9 . = 13 + 3 × 3 .
In the same way the next number of the given sequence will be
22 + 4 × 4 .
= 22 + 16 = 38.
What is the slope of the line represented by the equation y-6 = 5(x-2)?
O A. 6
O B. 5
O C. -5
O D. 2
Answers
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = 5(x - 2) ← is in point- slope form
with slope m = 5 → B
