Answer:
1. h = 2.4t + 4
2. 4 feet
3. 220 feet
Step-by-step explanation:
1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.
Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.
So, rate = gradient of line
= change in height/change in time
= (52 ft - 16 ft)/(20 s - 5 s)
= 36 ft/15 s
= 2.4 ft/s
Now the equation of the line which shows the height is gotten from
(h - h')/(t - t') = rate
Using h'= 16 feet and t' = 5 s, we have
(h - 16)/(t - 5) = 2.4
h - 16 = 2.4(t - 5)
h - 16 = 2.4t - 12
h = 2.4t - 12 + 16
h = 2.4t + 4
where h is the height of the balloon above the ground and t is the time spent in the air in seconds.
2. What was the height of the balloon initially before the child let it go?
We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.
So, substituting t = 0 into the equation for h, we have
h = 2.4t + 4
h = 2.4(0) + 4
h = 0 + 4
h = 4 feet
So, the height of the balloon before the child let go is 4 feet above the ground.
3. Use your model to predict the height of the balloon after 90 seconds.
We insert t = 90 s into the equation for h. So,
h = 2.4t + 4
h = 2.4(90) + 4
h = 216 + 4
h = 220 feet
So, the height of the balloon after 90 s is 220 feet above the ground.
please help me please will give brainliest to anyone
Answer:
its C
Step-by-step explanation:
Work Done (J) = Force (N) x Distance (m)
Calculate the distance that an object is moved with the
following force applied and work done:
50 N and 300 J
Answer:
distance = 6.0 m
Step-by-step explanation:
1. Take note of the given.
Force = 50 N Work Done = 300 J m = ?
2. Write the formula.
J = Nm
3. Substitute.
300 J = (50N)(m)
4. Divide both sides by 50 N to isolate m.
300 J / 50 N = m
6 = m
Solve For X
(see picture below)
thank you!
Answer:
x = 6
Step-by-step explanation:
If two secants are drawn from a point outside the circle, then the product of the lengths of one secant and its external segment equals the product of the lengths of the other secant and its external segment
Let us solve the question.
∵ There is a circle in the given figure
∵ There are two secants intersected at a point outside the circle
∵ The length of one of them = 8
∵ The length of its external segment = x
∵ The length of the other secant = 4 + 8 = 12
∵ The length of its external segment = 4
→ By using the rule above
∴ 8 × x = 12 × 4
∴ 8x = 48
→ Divide both sides by 8
∴ x = 6
I need help!!!!!!!!!!
Answer:
third
Step-by-step explanation:
Answer:
11 and 12
Step-by-step explanation:
the square root of 125 is 11.18
Two hundred twelve adults and one hundred eighty children attended a county fair one night. If the adult admission price was $7.50 and the children's admission was $3.00, how much money was paid for admissions?
Is this set of ordered pairs a function?
{(1, 1), (2,3), (3, 4), (4, 2), (5, 1)} A
Answer:
yes that is
Step-by-step explanation:
The radius of a circular field is 35m. Calculate the area path 3.5m wide running inside the field.
Answer: Twenty one meeters!!
Answer: The area of the path running around the inside edge of the field is 731.2 m²
If the path is across the middle of the field, the area of that path is about 245m²
Step-by-step explanation:
The radius of the field is 35m, subtracting 3.5 from that leaves the radius of the inside edge of the path at 31.5 m
The area of the path will be the difference between the two areas.
π × 35² = 3848.45
π × 31.5² = 3117.25
3848.45 - 3117.45 = 731.2
If the path is across the middle of the field, use the diameter, 70m, times the width of the path, 3.5m, to find the area of that path: 245m²
I hope this helps.
Anyone know how to do this??
Answer:
green square
Step-by-step explanation:
have u ever heard of slope face
What is the Y intercept pls help
Answer:
y- intercept = 1
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses.
This occurs when the x- coordinate is 0
From the table the point (0, 1 ) is where the graph crosses the y- axis
Then y- intercept = 1
5.5, 5.054, 5.0090,5.05
arrange in ascending
order
Answer:
5.0090, 5.05, 5.054, 5.5
can u please answer this sme one
Answer:
Samir wins by 20 seconds
Step-by-step explanation:
Answer:
Samir= 2 minutes and 30 seconds
Dan= 130= 2 minutes and 10 seconds
Step-by-step explanation:
Yep
**HELP ASAP** 30 POINTS!
What is one of the numbers multiplied to find the product called?
What is the number being divided called?
What is the number that divides another number called?
*PLEASE DON'T DELETE, NEED HELP ASAP*
Answer:
Step-by-step explanation:
One of the numbers multiplied to find the product called multiplicand.
The number being divided called Dividend
The number that divides another number called Divisor
Answer:
The numbers multiplied to find the product is called Multiplicand.
The number being divided is called the Dividend.
The number that divides another number called is the Divisor.
Truly hope this Helps !
...
Are these fractions equivalent or nonequivalent?
1/11 2/22
Answer:
equivalent
Step-by-step explanation:
is you divide both 2 and 22 by 2... you get 1/11
Answer:
Equivalent
Step-by-step explanation:
1/11 times 2=2/22
2/22 divided by 2=1/11
(hope this helps-ty for the points :P)
PLEASE HELP ME PLEASE!!!!!!
Answer:
Step-by-step explanation:
d = 8 inches
r = 8/2 = 4 inches
h = 9 inches
Volume of the can = πr²h
= 3.1428 * 4*4 * 9
= 452.56 cubic inches
What is the answer to this
9514 1404 393
Answer:
ΔXYZ ~ ΔBCA
Step-by-step explanation:
Matching angle designators, smallest to largest, we can write ...
ΔXYZ ~ ΔBCA
Lmc and gfc of 3,5 and 6
Answer:
Lcm is 30 and gcf is 1
Step-by-step explanation:
Trust me
Answer:
The LCM (lowest common factor) of 3, 5, and 6 is 30.
The GCF (greatest common factor) of 3, 5, and 6 is 1.
Step-by-step explanation:
below is the graph of f(x)= 2 in (x). how would you describe the graph of g(x)=4 in (x)
9514 1404 393
Answer:
vertical expansion by a factor of 2
Step-by-step explanation:
g(x) = 4ln(x) = 2(2ln(x)) = 2f(x)
g(x) is a vertically expanded version of f(x) -- by a factor of 2.
one month jane rented 9 movies and 7 video games for a total of $56 the next month she rented 3 movies and 5 video games for a total of $34 find the rental cost for each movie and each video game
If John got a raise from $25,000 per year to $28,750 per year, what percent increase was his raise?
In 2007 you weighed 207 pounds. In 2008 you weighed 198 pounds, and in 2009 you
weighed 185 pounds. How many pounds did you lose from 2007 to 2009?
Answer:
Its 22 pounds lost
Step-by-step explanation:
you subtract 198 from 207 and then subtract 185 from 198 then add both of the anwsers that you got
A day of the week is chosen at random what is the probability of choosing ?
Answer:
chossing what? every day of the week can be chossen with 1/5 probablity
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are two days of the week that starts with S. That's already 2/7. But , we add on Monday and that gives us 3/7
The probability of the day being chosen as Monday or Saturday or Sunday is 3/7.
PLEASE MARK ME AS BRAINLIEST
what is the slope of this graph?
round 50947 to the nearest 1000
Answer:
51,000
Step-by-step explanation:
Saffron is very expensive spice. A shop selling saffron for $ 7.35 per gram.
Write the formula for the cost (y), in dollars, of g grams of saffron.*
a) y = 7.35g
b)g=7.35 y
c) y = 7.35+g
Answer:
A
Step-by-step explanation:
B is wrong because it's saying to multiply the cost by $7.35.
C is wrong because it's telling you to add the amount of grams to $7.35.
A is the correct answer because you have to mutiply the cost by the grams which is what a number by a variable means.
Saffron is one the most expensive spices in the world. Ms. Patel pays $123.51 for 2.3 grams of saffron. What is the price per gram?
Step-by-step explanation:
help
Question Progress
Homework Progress
4123
Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are?
Answer: 8, 13, 18
Step-by-step explanation:
The difference between the greatest and least values is 10, the range.
Add the three numbers to get the total, 39, then divide by 3 to get the mean, 13.
2.
- 4x + 9y = 14
12x – 10y = -8
;
multiplication
Answer:
Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8
-144+108y/4 - 10y = -8
-144 + 108y - 40y/4 = -8
-144 + 108y - 40y = -32
108y - 40y = -32+144
68y = 112
Y= 1.64
2-4x+9y=14
12x-10y= -8
2-14+9y = 4x
-12 + 9y = 4x ( equation 3)
(Put in equation 2)
Answer:
-4x + 9y = 14 answer is x = [tex]\frac{9}{4}y+ \frac{-7}{2}[/tex]
12x - 10y = -8 answer is x = [tex]\frac{5}{6}y +\frac{-2}{3}[/tex]
Step-by-step explanation:
solve for x
-4x + 9y = 14
add -9y to both sides
-4x + 9y + -9y = 14 + -9y
-4x = -9y + 14
divide both sides by -4
-4x/-4 = -9y + 14/-4
Anwser
x = [tex]\frac{9}{4}y + \frac{-7}{2}[/tex]
solve for x
12x - 10y = -8
add 10y to both sides
12x - 10y + 10y = -8 + 10y
12x = 10y -8
Divide both sides by 12
12x/12 = 10y - 8/12
Anwser
x = [tex]\frac{5}{6}y +\frac{-2}{3}[/tex]
10+21 +32 +43 +54 +(-54)+(-43)+(-32)+(-21)+(-10)
Answer:
0
Step-by-step explanation:
What is the result of adding 20 to -20?
Answer:
ur answer is 0 lols
Step-by-step explanation:
Answer:
It concludes in 0.
Step-by-step explanation:
-20 is canceled out by the postive 20.
Graph the line with the equation y= - 1/4x -7?
Answer:
just go down negative 7 on the y int and that's ur starting point, then go down -1 and over 4 to the right, repeat this step 2 or 3 times then draw ur line.
The line with the equation y= - 1/4x -7 graph is shown below.
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)
are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y= - 1/4x -7
Now, the graph of the function is given in the image.
Learn more about graphing functions here:
https://brainly.com/question/14455421
#SPJ5
how many sides does a polygon have if the measure of each exterior angle is 18? what is the sum of the measures of the interior angles?
9514 1404 393
Answer:
20 sides3240°Step-by-step explanation:
The sum of measures of exterior angles is 360°, so the number of sides (n) can be found from ...
18° × n = 360°
n = 360/18 = 20
The polygon has 20 sides.
__
The sum of measures of interior angles will be ...
20(180° -18°) = 3240° . . . . sum of interior angles
