(PLS HELP!!)
You notice a hot air balloon ascending. The elevation h (in feet) of the balloon is modeled by the function h (x) = 6x + 90, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercept of the
graph.
Answers
Answer:r
Step-by-step explanation:
ty
The slope of the line will be 6 and its [y] - intercept will be 90. Refer to the graph attached for more clearance.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. It is same as slope.
Given is the elevation [h] (in feet) of the balloon which is modeled by the function h(x) = 6x + 90, where [x] is the time (in seconds) since you first noticed the hot air balloon.
We have the following equation -
y = 6x + 90
Refer to the graph attached.
The line passes through the points (-15, 0) and (0, 90). So, the slope of the line will be -
m = 90/15
m = 6
AND
[y] - intercept will be 90.
Domain → (0, ∞) and range → (0, ∞) for ideal situations.
Therefore, the slope of the line will be 6 and its [y] - intercept will be 90.
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ2
Related Questions
System of Equations in Three Variables Word Problem
Answers
Answer:
i think the answer is a number or multiple number and maybe a decimal.
Step-by-step explanation:
go to Tiger Algebra Solver
Help with trigonometry homework
Answers
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
unit 8 right triangles and trigonometry homework 1
Answers
Answer:
x = 31.8
Step-by-step explanation:
From the picture attached,
By applying Pythagoras theorem in right ΔADC,
AC² = AD² + CD²
(22)² = AD² + (16)²
AD² = 484 - 256
AD = √228
= 2√57
Now we apply Pythagoras theorem in right ΔADB,
AB² = AD² + DB²
x² = 228 + (44 - 16)²
x² = 228 + 784
x² = 1012
x = √1012
= 31.81
≈ 31.8
The side x is an hypotenuse side to one of the right triangles formed by
altitude of the given triangle that has solid lines.
x is approximately 31.812
Reasons:
The figure shows a triangle with an altitude that forms two triangles inside
the main triangle.
By Pythagoras's theorem, we have;
For the right triangle on the left;
22² = h² + 16²
h² = 22² - 16² = 228
h² = 228
h = √228 = 2·√57
h = 2·√57
In the right triangle to the right, we have;
The length of the top base, b = 44 - 16 = 28
The square of the hypotenuse, x² = h² + b²
∴ x² = 228 + 28² = 1012
x = √(1012) = 2·√253
x = 2·√253 ≈ 31.812
Learn more here:
https://brainly.com/question/6241683
2) What is the distance between -5 and -3?
Answers
Answer:
2
Step-by-step explanation:
-5 - (-3)
-5 plus 3
|-2|
2
Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?
Answers
Answer:
Weekly: $106.25
Monthly: $425
Yearly: $5,100
Step-by-step explanation:
Answer:
Step-by-step explanation:
WEEKS:
$175 divided by 4= 43.75
100 divided by 4= $25
150 divided by 4: $37.5
TOTAL: 106.25
YEARLY:
$175 times 12: $2,100
$100 times 12: $1,200
$150 times 12: $1,800
TOTAL: 5,100
MONTHLY: $425
At noon, a tank contained 8 in. of water. After several hours, it contained 2 in. of water. What is the
percent decrease of water in the tank?
Answers
Answer:
75%
Step-by-step explanation:
To find the percent decrease, use the percent change formula:
(difference / original) x 100
8 - 2 = 6, so the difference is 6.
Plug in the difference and original:
(6 / 8) x 100
= 75
So, the percent decrease is 75%
If nis the larger of two consecutive numbers, write an expression for the other number.
Answers
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
n-1
Step-by-step explanation:
I hope you like the answer!
GIVING BRAINLIEST IF CORRECT PLEASE ANSWER
Answers
Answer:
a) 1/3
b) 7/9
Step-by-step explanation:
A) there are 18 total, 6/18 is 1/3
B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9
When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Answers
Answer:
4.5%
Step-by-step explanation:
Answer:
4.5%
Step-by-step explanation:
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answers
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and
the rest of the gang, too!) Adult tickets cost $17.95 and children's tickets cost $12.95. Disney
made $7355 from ticket sales from a total of 500 people that attended. How many adults and
how many children were at the breakfast?
Answers
176 adults 324 children
Write the next three terms: 2,4,6,8,.
Answers
Answer:
10, 12, 14
Step-by-step explanation:
even numbers, just add 2 to previous answer
10, 12, 14............
Correct answer only
Answers
Answer:
Step-by-step explanation:
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
Which relation is a function?
a.
{(5,3), (2,8), (-5, -1),(4,7), (2, 1)}
b. {(5,3), (2,8), (-5,-1), (4,7), (-2, 1)}
{(5,3), (2,8), (-5, -1), (4,7), (5,7)}
d. {(-5,3), (2,8), (-5, -1), (4,7), (
2, 2)}
Answers
Answer: b
Step-by-step explanation:
You can determine which is a function by looking at the x values. If an x value repeats, it is not a function. In A, the x variable 2 repeats so it is not a function. In C, the x variable 5 repeats. In D, the x variable -5 repeats. The only answer choice where none of the x values are the same is B, so the answer is B. Hope this helps!
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
Answers
Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ΔABC
Area of ΔA'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.
Answer: The Third option and the sixth option.
Step-by-step explanation: I have had this question on a test before and i got the answer correct. i hope this helped.
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
Answers
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Simplify the expression 4x^3 x 2x^3
Answers
Answer:
8x^6
Step-by-step explanation:
Brainliest
What is the sum of the polynomials? 8x2-9y2-4x
Answers
Answer:
9x^2-12y^2-11x
Step-by-step explanation:
I took the test.
How are rates ratios and proportions used in careers in the medical field
Answers
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
Line l was mapped to Line m as shown in the graph below. please help
What transformation was applied to Line l to produce the result shown?
Line l was translated up 5 units.
Line l was reflected over the x-axis.
Line l was reflected over the y-axis.
Line l was translated 6 units to the right.
Answers
Factor the common factor out of this expression.
25u^2+20v^2+5v
Answers
Answer:
Hi Answer Is 5(5u^2+4v^2+v)
What is the completely factored form of x2 - 64/?
Answers
Answer:
(x-8)(x+8)
Step-by-step explanation:
Answer:
(x + 8)(x − 8)
Step-by-step explanation:
what is the volume
Answers
Answer:
The volume is 227.5
Step-by-step explanation:
The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5
Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?
Answers
Answer:
261.48
Step-by-step explanation:
2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?
Answers
Answer:
1750 Calories
Step-by-step explanation:
2000-1750=250
250x7=1750
Graph this Compound Inequality: x 9.8
Answers
Answer:
Step-by-step explanation:
The middle of 9 and 8
3^x×3^y=1
2^(2x-y)-64=0
Answers
Answer:
Step-by-step explanation:
HERE
:)
The following measurements were added: 5.45 + 6.1 + 2.84. what should
the answer be reported as *
1)14.39
2)14.3
3)14.4
4)14
Answers
Explanation:
5.45+2.84= 8.29
Then for 6.1 you add a zero to the end and make it 6.10 which is the same thing
Now 8.29+6.10= 14.39
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answers
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
Jan used 10
yards of fabric to make 5 dresses. On average, how
much fabric did she use for each dress?
Answers
Answer:
2 yards
Step-by-step explanation:
10 divided by 5 is 2