Answer:
The input of the function
Step-by-step explanation:
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.
Answer:
A) 8 feet.
B) 72 feet
Step-by-step explanation:
We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.
Part A)
We want to find the initial height of the rocket when it was shot.
At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.
Therefore, to find the initial height, we will substitute 0 into our function. This yields:
[tex]f(0)=-16(0)^2+64(0)+8[/tex]
Evaluate:
[tex]f(0)=8[/tex]
Therefore, the initial height was 8 feet.
Part B)
Notice that our function is a quadratic.
Therefore, the maximum height will be given by the vertex of our quadratic.
To find the vertex, we use:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]
Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]
Therefore, a=-16, b=64, and c=8.
Substitute them into the vertex formula to find the x-coordinate:
[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]
Now, to find the maximum height, substitute 2 back into our function f(x):
[tex]f(2)=-16(2)^2+64(2)+8[/tex]
Evaluate:
[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]
Therefore, the rocket reaches a maximum height of 72 feet.
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
Someone please help!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
Step 1: Define
xy + |-49/1|(-1)
x = 7
y = 8
Step 2: Simplify
xy + |-49|(-1)
xy + 49(-1)
xy - 49
Step 3: Substitute and Evaluate
7(8) - 49
56 - 49
7
Answer:
7
Step-by-step explanation:
xy + | -49/1| (-1)
Let x=7 and y = 8
7*8 + | -49/1| (-1)
56 + | -49/1| (-1)
The absolute value of -49 is 49
56 +49 (-1)
Multiply
56-49
7
A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.
Answer: .3330
Step-by-step explanation:
The proportion of exam scores are between 82 and 89.2 points is 0.3330.
What is standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
When comparing data sets that may have the same mean but a different range, it is helpful.
The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.
Given:
mean = 83.2 points and
standard deviation = 8 points.
So, the proportion is
P(82 ≤ x ≤ 89.2)
=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)
=P (0.75) - P(-0.15)
=0.7734 -(0.4404)
= 0.3330
Learn more about standard deviation here:
https://brainly.com/question/13905583
#SPJ2
Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over
Answer:
You will have .38 feet left of string
Step-by-step explanation:
Just subtract the numbers
Have a good day!
Answer:
0.38
Step-by-step explanation:
4.25-3.87=0.38
Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?
Answer:
50%
Step by step explanation
100 divided by 4 is 25
Since it is both blue and black, it is doubled from 25 to 50
Simplify the expression:
27
simplifying square roots
Answer:
3^2
Step-by-step explanation:
3x3x3 = 27
Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.
Answer:
3 by the power of 2
Step-by-step explanation:
Ms. Sanches and Mr. Brown went to Chuckie Cheese’s. Ms. Sanches had 567 tokens, and Mr. Brown had 432 tokens. Rounded to the nearest hundred, how many more tokens did Ms. Sanches have than Mr. Brown?
Answer:
Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown
Step-by-step explanation:
567=600 (rounded)
432=400 (rounded)
600-400=200 tokens
5+(-5)=0 identify the property
Answer: Additive Inverse
Step-by-step explanation: The Additive Inverse tells us that if we add
a number and the opposite of that number, the result will be 0.
What might be the result of sharing a link if it is pseudopsychology instead of accurate psychological science?
You would be unintentionally sharing inaccurate information.
You might get credit for the information in the article.
You would have an article you could cite for a class project,
You will find good evidence to back up the headline in the article
Submit
W
Answer:
You would be unintentionally sharing inaccurate information.
Step-by-step explanation:
i just read the book
Suppose you have 24 CDs. You know that you have 7 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.
a. 24 + 7 = n; 31
b. 24 + n = 7; –17
c. n + 7 = 24; 17
d. n – 7 = 24; 31
PLZPLZPLZPLZHELPHELPHELPASAP!!
Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.
1. 4 inches by 2.5 inches
2. 15 inches by 10 inches
3. 24 inches by 15 inches
4. 9 inches by 6 inches
Answer:
uhhhhhhhhhhhhhhhhhhh
What is the value of a?
a–2=3+6a3
Enter your answer in the box.
That's what I got, not sure if it was what you were looking for.
Answer:
-5
Step-by-step explanation:
Is the Answer
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month.
Answer:
355.923 cubic feet per month
Step-by-step explanation:
Units Conversions
We need to convert from pints/day to cubic feet/month. Two basic conversions are needed:
1 US pint = 0.0167101 cubic foot
1 month = 30 days (average)
710 pints are equivalent to 710 * 0.0167101 = 11.8641 cubic feet
That volume corresponds to a daily flow. For a monthly flow, multiply by 30:
355.923 cubic feet per month
Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36
Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile
Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20
Therefore, the answer is:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
This polynomial is in descending order for the variable x.
Answer:
False. It's not in the descending order for variable x.
Step-by-step explanation:
Given polynomial is,
-15x⁵y + 13x²y⁴ - x⁸
'x' is a variable in the given polynomial.
Order or degree of term x⁸ = 8
Order of term -15x⁵y = 5
Order of term 13x²y⁴ = 2
Descending order for the variable x will be,
8 > 5 > 2
So the descending order for the variable 'x' will be,
-x⁸ - 15x⁴y + 13x²y⁴
Therefore, Option (1) False is the correct option.
A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.
Answer:
4
Step-by-step explanation:
9. Show that the polygons
are congruent by using
rigid motions and by
identifying all the
congruent corresponding
parts. Then write a
congruence statement.
Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: [tex] ABCDE\cong FGHIJ.[/tex]
insert 6A.M's between 15 and -13
Answer:
-13
Step-by-step explanation:
see if good
Calculate the difference.
-1 - 7
What
Answer:
-1-7 = -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
two numbers or expressions that have been the same value are
Answer:
equivalent
Step-by-step explanation:
Equivalent means equal so equivalent expressions equal the same value.
select all of the lines that have a slope of 2/5
the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.
What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!
According to modern science. Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose you represent the entire history of Earth by 12 hours on a clock, with the birth of Earth at the stroke of midnight and today at the stroke of noon. How long before noon does written human history begin?
Answer:
11:59:59. Human history can be represented as only less than one second in a 12 hour clock.
convert 0.00633 to a scientific notation
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10[tex]^{-3}[/tex]
Step-by-step explanation:
** The negative three is supposed to be an exponent **
Write an algebraic expression for 27 less than a number.
Answer:
n-27
Step-by-step explanation:
If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!
Answer:
f - 27
Step-by-step explanation:
we don't know the number that's being subtracted so it would be any integer minus 27
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation: