What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
Given:
The height of a golf ball is represented by the equation:
[tex]y=x-0.04x^2[/tex]
To find:
The maximum height of of Anna's golf ball.
Solution:
We have,
[tex]y=x-0.04x^2[/tex]
Differentiate with respect to x.
[tex]y'=1-0.04(2x)[/tex]
[tex]y'=1-0.08x[/tex]
For critical values, [tex]y'=0[/tex].
[tex]1-0.08x=0[/tex]
[tex]-0.08x=-1[/tex]
[tex]x=\dfrac{-1}{-0.08}[/tex]
[tex]x=12.5[/tex]
Differentiate y' with respect to x.
[tex]y''=(0)-0.08(1)[/tex]
[tex]y''=-0.08[/tex]
Since double derivative is negative, the function is maximum at [tex]x=12.5[/tex].
Substitute [tex]x=12.5[/tex] in the given equation to get the maximum height.
[tex]y=(12.5)-0.04(12.5)^2[/tex]
[tex]y=12.5-0.04(156.25)[/tex]
[tex]y=12.5-6.25[/tex]
[tex]y=6.25[/tex]
Therefore, the maximum height of of Anna's golf ball is 6.25 units.
A box of dried fruit has 45 calories in 3 servings. How many calories are there per serving?
Answer:
15 caloriesStep-by-step explanation:
There are 45 in 3
3x=45
/3 /3
x=15
15 calories in each servingHope it helps,
Kavitha
(05.06 LC)
Which graph best represents a decreasing function?
A graph shows a non linear curve that joins the ordered pairs 0, 0, and 3, 1.5, and 5, 5.
A graph shows a straight line that joins the ordered pairs 5, 0 and 5, 5.
A graph shows a non linear curve that joins the ordered pairs 0, 5, and 1, 2, and 5, 0.
A graph shows a straight line that joins the ordered pairs 0, 3 and 5, 3.
Find the measures of the exterior angles of the polygon.
Answer:
D : 125°,125°,55°,55°
Step-by-step explanation:
Finding the interior angles makes the question easier.
The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.
Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.
180°-55° = 125°
180°-125° = 55°
A shipping box that has a total volume of 108 cubic inches is 6 inches wide and 12 inches long. What is the height of the shipping box?
Answer:
1.5 inches po
Step-by-step explanation:
thanks me later
good luck!
Bob's can make 10 hamburgers in 3 minutes. How many
minutes does it take Bob's to make one burger?
Answer:
3 minutes and 34 seconds
Answer:
Bob's can make one burger in 0.3 minutes, or 18 seconds.
Step-by-step explanation:
Bob's can make 10 hamburgers in 3 minutes. To determine how long it takes Bob's to make a single hamburger, we divide the 3 minutes by the 10 hamburgers.
3/10 = 0.3 minutes
It takes him 0.3 minutes to make one burger.
We could go further and convert this time to seconds. To do this, we multiply 0.3 minutes by 60 seconds.
0.3 ⋅ 60 = 18 seconds
Bob's can make one hamburger in 18 seconds.
Mhanifa please help this is late and I don’t get it
Answer:
Sin k jajs
Step-by-step explanation:
-2/5 + 1 1/3 find the sum
Answer: =14/15
Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!
Is the point on the line ?
Answer:
i think the answer is no i used tge desmo graphing calculator and tht point wasnt on it
What is the measure of
А
50"
50°
B
C
[Not drawn to scale]
50°
80
100
130
Answer:
solution given :
<A=?
<B=50°
<C=50°
if it is a triangle:
<A+<B+<C=180°( sum of interior angle of a triangle is 180°)
<A=180-50-50
<A=80°
<A=80° is a required answer.
Its a isosceles triangle
So
<A:-
180-2(50)180-10080°The current and voltage of new ultrathin CIGS solar cells vary based on temperature. The graph shows the current, in milliamps per square centimeter (mA/cın”), and voltage, in volts (V), at
various temperatures, in degrees Kelvin (K)
Which of the following best estimates the rate of change of voltage, in volts per degree Kelvin (V/K)?
When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces.
Answer:
The answer is below
Step-by-step explanation:
When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.
Solution:
The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given by:
[tex]E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16[/tex]
The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)
b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce
help please please please
Answer:
A
Step-by-step explanation:
because every 3 bats he hit 1
What is 1/6-1/30 equal to (simplified form)
Answer:
I'm pretty sure it is 2/15
a doctor has 3 doses of flu protection vaccine left. 6 women and 10 men who want the medication. if the name of 3 people are selected at random. determine the probability that 3 men are selected
Answer:
9 men choose 5 / 16 people choose 5 = 9c5 /16c5 = 3/104
f(x)=x2. what is g(x)?
Answer:
A
Step-by-step explanation:
Hi again. In this case, the graph enlarges. Coefficient of x is <1. Try to substitute x = 3 to (1/3x)^2 and (1/9x^2)
(1/3 * (3))^2=1
NEED HELP will give BRAINLY
Answer:
y=1x+8
Step-by-step explanation:
The best way to remember the formula is y=mx+b aka (your mom's ex bf)Just by looking at the slope you can automatically tell it's moving by one so in your formula, 'm' is the slope.Add 1x to replace 'm' or you can leave x alone because x is already one, your choice.b is the indication on where your slope started in the y-axis. In this case, by looking at the y-axis on the graph, the slope starts at 8 so that will be your b.Therefore, your answer is y=1x+8Jimmy,bobby,johnny, and brenda are arguing over how to best estimate 3,186 ÷ 79
Answer:
40.3291139241
Step-by-step explanation:
no, thank you
Answer: You get 40.36 first. If it is by nearest tenth, then 40.4. Nearest ten, then 40
How many solutions does this equation have?
one solution?
infinite solutions?
no solutions?
Explain how you determined your answer.
9(w - 9) - 2 = -7w + 7(w - 8)
Answer:
The given equation having only one solution i.e., "w = 3". A further explanation is provided below.
Step-by-step explanation:
The given equation is:
⇒ [tex]9(w-9)-2=-7w+7(w-8)[/tex]
By opening the brackets, we get
⇒ [tex]9w-81-2=-7w+7w-56[/tex]
⇒ [tex]9w-83=-56[/tex]
On adding "83" both sides, we get
⇒ [tex]9w-83+83=-56+83[/tex]
⇒ [tex]9w=27[/tex]
⇒ [tex]w=\frac{27}{9}[/tex]
⇒ [tex]=3[/tex]
a) (-6)* = -6° b) (-3) = -3$ c) 82 = (-8)
[tex]( 5 + 4 {)}^{2} = {5}^{2} + {4}^{2} [/tex]
Answer:
pues yo pienso que es 8 es que no se muy bien
Given AE ≈ EC, for what value of x is quadrilateral ABCD a parallelogram?
Answer:
X = 1/3 (to make it short) plz brainliest
Step-by-step explanation:
Nancy received a birthday gift of $35. She decided to
use this money to start a savings account and then
deposited $5 into the account every week.
Which equation represents the relationship between
w, the number of weeks she has saved, and s, the
total amount saved?
s = 35W - 5
s= 5W - 35
S = 35W + 5
s = 5W + 35
Answer:
Everybody's laughing in my mind
Rumors spreading 'bout this other guy
Do you do what you did when you did with me
Does he love you the way I can
Did you forget all the plans that you made with me?
'Cause baby I didn't
That should be me, holding your hand
That should be me, making you laugh
That should be me, this is so sad
That should be me
That should be me
That should be me, feeling your kiss
That should be me, buying you gifts
This is so wrong
I can't go on
Till you believe
That should be me
That should be me
This is a function
true or false
Answer:
false
Step-by-step explanation:
hope this helps....
what is 4.13 to the nearest tenth
Answer:
4.1
Step-by-step explanation:
Demine spelled 18 out of 24 words correctly on a test. What percent of the words did Damien spell correctly
A. 24
B.75
C.18
D.65
18 would be your answer for because it says 18 out of 24 words he got correctly
Pls help
Karen's bed is about 6 ? long.
A)inches
B)feet
C)yards
D)miles
I need the right answer
Answer:
B
Step-by-step explanation:
if it was A it would be for a cat
if it was C it would be for a elephant
if it was D it would be for a giant
Isaac and his wife received an award of $ 9,000 each for their work as researchers.
Isaac invests his money and earns 9% annual simple interest while his wife invests it at 9% compound interest per year. How much more money did Isaac's wife make than Isaac after 10 years?
F $5,500.00
G $3,455.50
H $4,206.30
J $4,998.50
Answer:
H
Step-by-step explanation:
I don't know if I did it wrong because I got 4,206.27 but I probably did
C
3 m
4 m
What is the length of the hypotenuse?
Answer:
5 meters
Step-by-step explanation:
The values given, 3 and 4, are the legs a and b. The hypotenuse is the third and longest side, c.
To find the length of the hypotenuse, use the formula a² + b² = c².
Substitute our values for a and b and solve.
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c
The hypotenuse is 5 meters long.
I hope this helps <3
base, 6 millimeters;
height, 4 millimeters
Answer:
You would multiply them which would be 24 brainliest?
Step-by-step explanation:
115
11.5
Find the area of the shaded region
Answer:
227 units²
Step-by-step explanation:
Area of rectangle
a = (2 * 11.5) * (4 * 11.5)
a = 1,058
Area of circles
a = 2(π * 11.5²)
a = 830.9512568745
Shaded area
a = 1,058 - 830.9512568745
a = 227.0487431255
a ≈ 227