From the height function, we get that:
a) The average rate of change is of -3 feet per second.
b) The height of the hill is of 45 feet.
c) It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.
-------------------------------
The height, after t seconds, is given by:
[tex]h(t) = -3t + 45[/tex]
-------------------------------
The height of the hill is [tex]h(t)[/tex] when [tex]t = 0[/tex], thus [tex]h(0) = -3(0) + 45 = 45[/tex]. 45 feet, which means that the the answer for option B is 45 feet.-------------------------------
Item a:
The initial height is of 45 feet, at [tex]t = 0[/tex] seconds.The final height is of 0 feet, at [tex]t = 15[/tex] seconds.Thus, the average rate of change is given by:[tex]A = \frac{0 - 45}{15 - 0} = -\frac{45}{15} = -3[/tex]
The average rate of change is of -3 feet per second.
-------------------------------
Item c:
One-third of the distance of 45 feet is [tex]\frac{1}{3}45 = 15[/tex] feet, thus, we have to find the time at which he is at 30 feet, that is, t for which [tex]h(t) = 30[/tex][tex]h(t) = -3t + 45[/tex]
[tex]30 = -3t + 45[/tex]
[tex]3t = 15[/tex]
[tex]t = \frac{15}{3}[/tex]
[tex]t = 5[/tex]
It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.
A similar problem is given at https://brainly.com/question/20732437
Express each of these percentages as a fraction
158%
solution for class 7
Hope it helps :)
Choose the equation that represents the graph.
Answer:
y = 1x + 3
Step-by-step explanation:
the slope is 1 and the y intercept is 3
HURRY IM TIMED!! which inequality is represented by this graph?
Answer:
x<6 this is the answer because the circle is hallow (not including) and going left (less than)
Answer:
x<6
Step-by-step explanation:
Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.
Extra points for this question if you just use me for the points I will red flag you with no regrets/ Please help me.
Answer:
Step-by-step explanation:
Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.
Answer:
The last answer or Distance a number is from zero
Step-by-step explanation:
It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)
Answer:
The last answer or Distance a number is from zero i think i dont know
Step-by-step explanation:
A parking lot is 4/5 full. There are currently 80 cars in the parking lot. How many cars need to leave the parking lot to make the lot 1/5 full?
A. 100
B. 60
C. 40
D. 20
E. 10
Answer:
60
Step-by-step explanation:
Express each of the following fractions as percentages
12/25
solution for class 7
[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]
[tex]\\ \sf\longmapsto 48\℅[/tex]
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D. The slope from point O to point A is two times the slope of the line from point A to point B.
Answer:
Answer is B
just do your work and proof the work and that will give u the right answer
Answer:
it is B
Step-by-step explanation:
it is just B man, trust
Find the area of the figure at the right in square feet. The figure can be separated into a rectangle and a trapezoid. Find the area of each. (image attached)
Answer:
Shape 1: Trapezoid
A= h(a+b/2)
A=32
Shape 2: rectangle
A=lw
A=96
32+96=128
Let me know if this helps!
If f(x) = -3x - 2
find f(-2) + 9
Answer:
f(-2) + 9 is 19
Step-by-step explanation:
[tex]f(x) = - 3x - 2[/tex]
when x is -9:
[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]
sum up with 9, f(-2)+9:
[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]
Where do the slope and y-intercept show up in the tables and graphs?
Answer:
Solution: The general form of the line on a graph is y = mx+c,
where y is the coordinate of the point along the y-axis,
x is the coordinate of the point along the x-axis,
m is the slope of the line or arc tan of the angle the line makes with the x-axis, and
c is the intercept the line makes on the y-axis.
Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is
y = mx + c
6 = tan 45 * 4 + c, or
6 = 4 + c, or
c = 6–4 = 2.
Gina wants to solve the following proportion.
a / 5/8 = 3/5 / 2/3
A. explain how to solve the problem.
B. solve the proportion. show your work.
Step-by-step explanation:
please don't understand the question. will be happy if you take a shot of it.
Thanks
I really need help with this
Answer:
8/5
Step-by-step explanation:
There are 8 jokers combined, and 5 decks, so the mean is 8/5.
Please put details! I need it! Please and thank you!
Answer:
.
Step-by-step explanation:
A,0.
B. To plot the three points well, you need to look at where the numbers are. Now, lets says its 1 -1 go to where it says -1 and find 1. For -1 1.25 go to the 1 and now split a line into 1/4 making it 1.25. Last but not least go to -2 and cut a line into 3/4.
Hope this helps<3.
Given: UR ∥ ST ∠R, ∠T right angles Prove: ∆RSU ≅ ∆TUS
What you will get:
25 pts
Brainliest
Here
Angle R = Angle T
UR = ST
US = SU
So using RHS conguerence criteria Triangle RSU conguerent to Triangle TUS
Please multiply 6c(4)
Answer:
24c
Step-by-step explanation:
6 * c * 4 = 6 * 4 * c = 24c
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
24c
Step-by-step explanation:
6c * 4 is 24c. You multiply normally and make it c :)
Please Help Me! I will give brainly!!
The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?
Answer:
5 1/10 meters
Step-by-step explanation:
18 4/5 can be changed to 18 8/10 so
18 8/10 - 13 7/10 = 5 1/10 meters
Are the ratios 5:4 and 8:2 equivalent? yes or no
Answer:
no
Step-by-step explanation:
no its no
Answer:
I believe no
Step-by-step explanation:
I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me
Make a list of three rates that describe things that you do. For example, you could describe how many classes you attend in a day. For each example, explain why it is a rate.
I tried to make this as vague as possible since this is a question about your personal life.
1. sleep to hours in a day, 8:24
2. cans of soda to bottles of water, 1:2
3. meals to snacks, 3:2
Find the surface area of the square pyramid shown below.
Answer:
179.38 sq.units
Step-by-step explanation:
answer is in the pic
Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
This shape is made of four congruent kites meeting at a point. Calculate the size of Angle K.
Answer:
k = 115°
Step-by-step explanation:
Hope it helped.
• • •
90 + 2k + 40 = 360
2k = 360-130
2k = 230
k = 115
Angle K = 115
Answered by gauthmath pls make brainliest and comment thanks
I know how to find the distance of two coordinates but not three could someone help me on this??
If f(x) = 3x+1, then f(a+h) - f(a) =
1. 03 h
2. h
3. 3 h + 2
I need help please thank you <:
Answer:
B
Step-by-step explanation:
We have the following
- 3,210,000
- 420,000
- 1,100,000,000
Now we rearrange the numbers as asked from least to greatest.
- 420,000
- 3,210,000
- 1,100,000,000
Evangeline is making snake bags for her class. If she can fill 5/8 of her snack bags with 1 1/3 cups of pretzel, how many cup of pretzels are needed to fill all of the snake bags? Write a multiplication equation and a division equation for the situation, then answer the question.
Answer:
8/3
Step-by-step explanation:
Hii! Please helpppp!! This was due like 3 days ago lol
Fergus has 3 1/4 cups of oats
= 13/4 cups of oats
Oatmeal bars = 2 2/3
= 8/3 cups of oatmeal used
Therefore cups of oats left = 13/4 - 8/3
= 39/12 - 32/12
= 7/12 cups of oats left
She borrowed 1 cup of oats from neighbour
7/12 + 1/1
= 7/12 + 12/12
= 19/12 cups of oats
Blueberry oats muffin = 1 3/4 cups of oats
= 7/4 cups of oats
Total she will have now = 19/12-7/4
= 19/12 - 21/12
= - 2/12
= -1/6
Which means she needs 1/6 cup of oats more
Therefore its option 4
Must click thanks and mark brainliest
Answer:
she needs 1/6 more so the last option! looking at the pic i dont think you need to show the work :)
Step-by-step explanation:
Step by step in how to do this plz
Answer: a. 5^42 and b 9a^6
Step-by-step explanation:
a. (5^3+4)^6
(5^7)^6 = 5^42
Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers
1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number
Answer:
option 3.
Step-by-step explanation:
alright, ima explain each option.
1. "smallest odd numbers" 2 is an even number. that's out of the playing field.
2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.
3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]
4. they do multiply to 30, but this does not help break the composite numbers down.
5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.
sub to gauthmath sub reddit if ya can !
Choose a number line to model the following situation:
The temperature outside rose 15° and then dropped 15°. (4 points)
a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.
d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.
Answer: A
Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)
Hope this Helps :))
