Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
I NEED HELP ASAPPPP!!!!!!!!!!!!!!
How many 2/5 s are there in 4?
Answer:
there are ten (10) 2/5 in 4 .
Brody set his watch 1 second behind, and it falls behind another 9 seconds every day. Write
an equation that shows the relationship between the days since watch was last set x and the
seconds behind y.
Write your answer as an equation with y first, followed by an equals sign.
Answer is you know this?
Answer:
y = -1 - 9x
Step-by-step explanation:
Brody's watch is already 1 second behind (the constant), and it falls behind 9 more seconds for every day (x).
Can someone pls help me
2 1/4 cups of pretzels
A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement
walkway of uniform width whose area is at least as large as the area of the pool. What is the
minimum width of the walkway? Show the steps of your solution.
Answer:
15m I think
Step-by-step explanation:
Sorry if im wrong
The area of a rectangle can be found by taking the product of length and breadth. The minimum width of the walkway is 15 m.
What is a Rectangle?A quadrilateral that has its opposite sides as equal and all the angles are right angle is called a Rectangle. The diagonal of a rectangle is greater than its length and breadth.
The given rectangle has dimension of 15 × 30.
Suppose the uniform width of walkway be d.
Then, the area of walkaway can be written as
Area = (15+d)×(30+d) - 15×30
As per the question,
15×30 = (15+d)×(30+d) - 15×30
(15+d)×(30+d) = 2×15×30
d^2 + 45d - 900 = 0
d = -60,15
As, length cannot be negative. Thus, d = 15m.
Hence, the minimum width of walkway is 15m.
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Please help me I’ll mark brainliest
Answer:
Here I just did the Workin out. don't worry it's correct. Have a nice day!!
On the graph shown, what is f(-1)?
Answer:
where is the graph?
Step-by-step explanation:
What is the x-intercept?
Answer:
(5,0)
Step-by-step explanation:
What percent is represented by the shaded portion on this 10×10 grid
Answer:
75/100% is the correct answer
Step-by-step explanation:
the second one.... you count the shaded in out of 100
I don't understand how to do this
9514 1404 393
Answer:
B, E
Step-by-step explanation:
You are give a table of values of x and f(x). You are told that g(x) = (1/2)f(x), and you are asked for points (x, g(x)) that match that description.
It can be useful to mentally, or actually, add a third column to the table that shows the values of g(x). Each of those is half the corresponding value of f(x), because that is what g(x) = (1/2)f(x) means.
Having done that, you can then compare the ordered pairs (x, g(x)) to those in the answer list to see which ones match. The ones that match are highlighted in green in the attachment:
(-1, -2) . . . . . . 2nd choice
(6, 3/2) . . . . . 5th choice
Isaac walks 6/10 of a mile of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaacs walking rate in miles per hour?
Answer:
3 miles per hour.
Step-by-step explanation:
To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.
8. Over a period of 3 hours, the outside temperature changed an average of -2.25 Fahrenheit per hour. Which statement correctly describes the change in the temperature from the beginning to the end of the 3 hour period?
a. The temperature decreased by 0.75 degrees Fahrenheit.
a. The temperature decreased by 0.75 degrees Fahrenheit.
b. The temperature increased by 0.75 degrees Fahrenheit.
b. The temperature increased by 0.75 degrees Fahrenheit.
c. The temperature decreased by 6.75 degrees Fahrenheit.
c. The temperature decreased by 6.75 degrees Fahrenheit.
d. The temperature increased by 6.75 degrees Fahrenheit.
Answer:
c
Step-by-step explanation:
-2.25*3 = 6.75 decreased (since negative)
I need help with this... plz
Answer: 11,600
you multiply 58,000 by 0.8 and you’d get 46,400. then you would subtract that number by 58,000 to get the answer of 11,600.
PLEASE HELP ITS DUE IN A FEW MINUTES
Answer:
a=5b-3a-4b
Step-by-step explanation:
We first need to move all terms that do not contain a to the right side of the equation. We cancel terms on the left side by adding -4b to both sides of the equation. a+4b-4b=5b-3a-4b
A Jacket is on sale at 15% off the original price of $68 what is the sale price
Answer:
around 57
Step-by-step explanation:
brainliest to who ever answers correctly
Answer:
it’s either no slope or 0, I dont exactly know which one you would put in to be correct
Step-by-step explanation:
I need to know the answer but it would be nice to have the steps too
Answer:
The perimeter of the rectangle is 27n + 1 feet
Step-by-step explanation:
The formula of the perimeter of the rectangle is P = 2(L + W), where
L is the length of the rectangleW is the width of the rectangle∵ The width of a rectangle is 7n - 6.5 feet
∴ W = 7n - 6.5 feet
∵ The length of the rectangle is 6.5n + 7 feet
∴ L = 6.5n + 7 feet
→ Substitute W and L in the formula of the perimeter above
∵ P = 2[6.5n + 7 + 7n - 6.5]
→ Add the like terms
∴ P = 2[(6.5n + 7n) + (7 - 6.5)]
∴ P = 2[13.5n + 0.5]
→ Multiply the terms in the bracket by 2
∴ P = 27n + 1
∴ The perimeter of the rectangle is (27n + 1) feet
Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP
Answer:
Proved
Step-by-step explanation:
m∠JPO = 90 = m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP
Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Please refer to the attached picture for the diagram.
We have:
KW is perpendicular to JO, JP is perpendicular to KO.
KN intersects with JP=Q.
From the figure:
Angle JPO =Angle OWK = 90 degrees
By using the reflexive property:
Angle O = Angle O
Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.
Learn more about the similarity of triangles here:
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the question is in the picture. will give brainilist
Step-by-step explanation:
Find the length of the segment with endpoints of (3,2) and (-3,-6).
(Will Mark Brainlyest!)
Answer:
i think its (x2,y2)=(19,3)
Step-by-step explanation:
sorry if its wrong
select the three objectives mosquitoes hovered around the small puddle of still murky water in the background
Answer:
Step-by-step explanation:
1 and 2 step equations algebra
What is the Variable
10= 2k + 16
your answer has to be k=3
I need help I don’t get it
You need to show the question to get the answer. All you can see is the lines...
Pleas help it’s due tomrrow
Answer:
Step-by-step explanation:
K is located at -25
L is located at -15
just move 5 units away from J on both sides
hope this helps <3
-1/6 x -3/5 the answer has to be a fraction
The product of -1/6 x -3/5 = 1/10
The given expression is,
-1/6 x -3/5
In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.
Now proceed the product,
Multiply numerator with numerator and denominator with denominator,
Therefore,
-1/6 x -3/5 = -1x(-3)/6x5
= 3/30
= 1/10
Hence,
-1/6 x -3/5 = 1/10
Learn more about the multiplication visit:
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On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Answer:
1/2 of 6 = (1/2)*6 = 0.5*6 = 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2/3 hr
3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hrs
9/2 oz = 2/2 hrs .... divide both sides by 2
4.5 oz = 1 hr
She drinks 4.5 ounces of water in 1 hour.
[tex] - 10 = 2x + 6[/tex]
how do I do this
6's + 2) = 18
S+2=
S=
Answer:
s+2=3
s=1
Step-by-step explanation:
make it braintliest please
Mark tried to pour 36 ounces of tea into 3 cups After filling the cups to the top there was still 13.5 ounces left in his tea pot if each cup is the same size how much tea is in each cup
Answer:
12
Step-by-step explanation:
its 12
the diameter of a pearl is about 4×10-¹⁴ cm and the diameter of an atom is about 10-¹¹ m. how much larger than an atom is a pearl?
Answer:
The diameter of an atom is 25000 times the diameter of a pearl.
Step-by-step explanation:
Given that,
The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]
The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]
Taking the ratio,
[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]
So, the diameter of an atom is 25000 times the diameter of a pearl.
