Answer:
25 ft
Step-by-step explanation:
Got it right on EDG2020
The ball will reach the maximum height in a second. Then the maximum height the ball reaches will be 25 ft.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
Lori tosses a ball into the air. The equation models the height, y, in feet, of the ball after x seconds.
[tex]\rm y = -16(x - 1)^2 + 25[/tex]
Differentiate the equation with respect to x, then we have
[tex]\begin{aligned} y' &= 0\\\\\dfrac{d}{dx}[-16(x - 1)^2 + 25] &= 0\\\\ -32(x-1) &= 0\\\\x &= 1 \end{aligned}[/tex]
Then the maximum height the ball reaches will be
[tex]\rm y = -16(1 - 1)^2 + 25\\\\y = -16*0^2 + 25\\\\y = 25[/tex]
Then the maximum height the ball reaches will be 25 ft.
More about the differentiation link is given below.
https://brainly.com/question/24062595
#SPJ2
Divide 2x^4+3x^3-5x+6 by x^2+3x-2 .
2x^4 + 3x^3 - 5x + 6 ÷ x^2 + 3x - 2
= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2
Write 1/2 as a percent
Answer:
50%
one half is equivilent to 50%
name a combination with 24 nickels and dimes that make up 2 dollars
Write2.1 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer:
2 1/10 and 21/10
Step-by-step explanation:
2.1 is 2 + 0.1 when expanded.
2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be 2 1/10.
The improper fraction is just 21/10 (convert the mixed number into improper form).
Converting from mixed number to improper: Multiply the number in the front (in this case 2) by the denominator.
That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21.
21 would be our numerator and the denominator would stay the same (10).
21/10 is the improper form.
5x2 + 34x – 7 = 0
solve by factoring
Answer:
[tex]x=\frac{1}{5} , -7[/tex]
Step-by-step explanation:
Hope this helps!
Jack is x years old.
Eric is three times Jack's age.
Mary is 50 years old.
She is 2 years older than Eric.
How old is Jack?
(2 marks)
Answer:
Jack is 16
48 divided by 3= 16
Eric is 48
50-2=48
A box of cereal states that there are 72 calories in a 3 fourth cup serving what is the unit rate for calories per cup? HHow many calories are there in 4 cups? The unit rate is _ calories per cup
Answer:
4 cups = 384 calories ; 1 cup = 96 calories
Step-by-step explanation:
Given that:
3/4 cups = 72 calories
Let Number of calories in 4 cups = x
3/4 = 72
4 = x
Cross multiply
(3/4)x = 72 * 4
(3/4)x = 288
Multiply both sides by 4/3
(3/4 * 4/3)x = 288 * 4/3
x = (288 * 4) /3
x = 384
Hence, 4 cups has 384 calories
Number of calories per cup :
4 cups = 384 calories
1 cup = 384 / 4
1 cup = 96 calories
-7 - 12 = - 7х + 3(-4 - x)
Answer: x = -1.8
Step-by-step explanation:
-7 - 12 = -7x + 3 (-4 - x)
-7x + 3 (-4 - x) = -7 - 12
P.S I switched the order cuz I find it easier to solve this way.
-7x + 3 (-4 - x) = -7 - 12
Distribute
-7x - 12 - 3x = - 7 + 13
Add 12 to both sides
-7x - 3x = -7 + 13 + 12
Combine like terms
-10x = 18
Divide both sides by -10
x = -1.8
A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami. Write an equation to show what percent of sandwiches sold were pastrami
Answer:
36/90 * 100 = p
(p is percent sold that were pastrami)
Step-by-step explanation:
First, 36/90 (part over whole), simplifies to 40/100. We can multiply that by 100 to get a percentage. And that is your equation.
о G Kelly opened a bank account that earns 1.2% simple interest each year. After 7 years, Kelly will earn $126 in interest. How much did Kelly deposit when she opened the account?
Answer:
$1,512
Step-by-step explanation:
1.2% of $126 = $1,512
I really dont l know if this is right but I think it is
Answer:
$15
Step-by-step explanation:
Interest=principle X interest rate X the time(In this case years)
So, $126= p X 1.2% X 7
We first multiply 1.2% by 7 and get .084, then we move the decimal to places to the right and get 8.4.After that we divide $126 by 8.4 and you should get 15.So thats how I got $15 but then again I may be wrong.Hope this works for you =)
Read this excerpt from Immigrant Kids, by Russell Freedman.
Edward Corsi, who later became United States Commissioner of Immigration, was a ten-year-old Italian immigrant when he sailed into New York harbor in 1907:
My first impressions of the New World will always remain etched in my memory, particularly that hazy October morning when I first saw Ellis Island. The steamer Florida, fourteen days out of Naples, filled to capacity with 1600 natives of Italy, had weathered one of the worst storms in our captain's memory; and glad we were, both children and grown-ups, to leave the open sea and come at last through the Narrows into the Bay.
My mother, my stepfather, my brother Giuseppe, and my two sisters, Liberta and Helvetia, all of us together, happy that we had come through the storm safely, clustered on the foredeck for fear of separation and looked with wonder on this miraculous land of our dreams.
The purpose of this excerpt is to help readers understand
A) the excitement and relief immigrants felt upon arriving in America.
B) that the Narrows into the Bay was a very dangerous passage.
C) that Italian children were very sad after leaving their home country.
D) the weather the immigrants experienced on that day in October 1907.
Answer:
the answer is A
Step-by-step explanation:
Answer:
The correct option is a), that is, the excitement and relief immigrants felt upon arriving in America.
Exp lanation:
The excerpt represents the horrifying situation that immigrants were facing while sailing to America. The experience of heavy storm made their families worried about their future and separation.
Therefore, after reaching the land, they were happy to be safe together on their dream land.
f (x) = -x2 + 8x - 11
h(x) = -x-7
find f (9) + (-14)
x + 3 = 11 A. x = 11 B. x = 23 C. x = 14 D. x = 8
Answer:
8 (D)
Step-by-step explanation:
11 - 3 = x
11-3 = 8
hope this helps
Answer:
A) 0.78
B) 2.36
C) 1.54
D) 1
Step-by-step explanation:
I just plugged in the numbers for x so like for A I did (11)+3=11
11+3=14
14/11=0.78 i hope i did that right
Name the property. (6x4) x3 = 6x(4x3)
Answer:
Associative
Step-by-step explanation:
When three or more numbers are multiplied, the product is the same regardless of the way in which the numbers are grouped.
pls help out, what is the slope?
Answer:
Slope is 1 unit
I think so as the line is accurately tangential to the circumcircle by diagonal of a unit graph and hence diameter coincides with diagonal.
3 and 3/4 + 1 and 1/4
Explanations on how I can get my answer please?
Answer:
The answer for this question is 5
HELP? I am confused lol
Answer:
120*10.8= your answer :)
Step-by-step explanation:
If 1 square meter is 10.8 square ft, then 120 square meters should be 120*10.8 square feet.
Could someone’s please solve this for me?
Answer:
A
Step-by-step explanation:
Because 25 divide 25 equals 1
And then you divide 75 by 25 and that will get you 3
Hope that helps :)
Answer:
[tex] \frac{25}{75} = \frac{1}{k} \\ \frac{1}{3} = \frac{1}{k} \\ \boxed{k = 3}[/tex]
A. 3 is the right answer.Does table represent a linear or nonlinear function?
Answer:
this table is linear
Step-by-step explanation:
it's linear because there is a common difference of -4
Help me ASAP I’ll mark you as a BL Question attached below
Answer:
I think it might be A if not then its be
Step-by-step explanation:
sorry if its not right
if the original quantity is 14 in the new quantity is 24 estimate the percent change
Answer:
[tex]\% \: change = \frac{(24 - 14)}{14} \times 100 \\ = \frac{10 \times 100}{14} \\ = \frac{1000}{14} \\ = 71.43\%[/tex]
Percentage change is 71.43%.fifteen more than twice a number is -23
Answer:
15+2x=-23
Step-by-step explanation:
Answer:
15+2x=-23
Step-by-step explanation:
Perhatikan gambar berikut!
a.Buktikan bahwa AABC dan AEDF
kongruen (sama dan sebangun)!
b. Tentukan pasangan sudut yang sama
besar!
Answer:
a is the correct answer mh
The sum of my digits is equal to 5
what is the midpoint of -7 and 4
Gray read his book on 3 different weeks. On week 1 gray read 234 pages of the book. On week 2 gray readthe same number of pages on week 1. On week 3, he read 100 pages less than he read on week 2. What was the total number of pagesless than he read on week 2
Answer:
602 pages
Step-by-step explanation:
Given that he read his book on 3 different weeks in the manner;
week 1 - 234 pages
week 2 - 234 pages
week 3 - 100 pages less than he read on week 2
This means that the number of pages read on week 3
= 234 - 100
= 134 pages
Hence the total number pages in the book
= 234 + 234 + 134
= 602 pages
Answer:602
Step-by-step explanation:
Simplify the radical image (1)
Simplify (6^2)(3^3)(3*6)^4
Answer:
102036672.............
110 cm
50 cm
140cm
90 cm
-110 cm -
70 cm
Answer:
probably is 140 or is it just the whole question?
1. Solve for x.
4x + 12 = 60
2. Solve for x.
2x + 5 = 21
3. Solve for x.
4x - 7 = 5
4. Solve for x.
3b - 4 = 11
5. Solve for x.
x3 = 33
6. Solve for x.
⅓ x + 6 = -8
7. Landon has 42 candies. He shares them with his friend Fred in a ratio of 3:5. How many candies does each person get?
8. Simplify the expression.
3x - 2 + 7 - 7x + 9
9. Simplify the expression.
⅓ (x - 3) + 12x
10. Jonah put in 12 colored tiles in a jar. There are 3 red tiles, 7 blue tiles, and 2 yellow tiles. What is the probability that he will select a red tile first, then select a blue tile next without replacing the first tile?
11. Tia is painting her house. She paints 34 ½ square feet in ¾ of an hour. At this rate, how many square feet can she paint each hour?
12. Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 bags?