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
Based on the information given in the diagram, choose all of the statements that are correct.
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
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ANSWER QUICK I WILL GIVE BARINLIEST URGENT
Answer:
27/40
Step-by-step explanation:
Answer:
3/8 divided by 5/9 = 0.675
Step-by-step explanation:
in fraction form = i dont know srry =/
Nels works 8 hours and earns $52. How many hours would he have to work to earn $130?
Answer:
20 hours
Step-by-step explanation:
52/8 = $6.5/hour
130 / 6.5 = 20
20 hours
Find the area of the figure. Use 3.14 for it.
2 ft.
8 ft
3 ft
4 ft
3 ft
8 ft
The area of the figure is I
ft.
Answer:
0.5 X 2 X 3 = 3
0.5 X 3 X 3 = 4.5
8 X 4 = 32
32 + 4.5 + 3 = 39.5 square ft
What is the coefficient in the expression below?
7b + 10
Answer:
7
Step-by-step explanation:
a coefficient is is the number being multiplied by the variable, and in this case 7 is being mulitiplied by b, making it the coefficient.
Answer:
Equation : 7b+10
Therefore, cofficient of b is 7
7 is the right answer.The company that owns the telescope gives a discount of $8 off the rental fee for every rental hour after the first two hours. The team of three astronomers will rent the telescope for 5 hours.
A company interested in the astronomers' research has agreed to pay for 40% of the telescope rental costs. If the astronomers divide up the remaining costs evenly, how much will each of them pay for the 5 hours of rental time?
Answer:
20
Step-by-step explanation:Please give me a brainly
All you got to do is answer question means 4, 5, 7, 8! Basically all you Gotta do is read the sentence and then match it with one of the equations to the right that aren’t crossed off, !
4?
5?
7?
8?
There's no picture to it.
An item is regularly priced at $43. Charmaine bought it at a discount of 95% off the regular price. How much did Charmaine pay?
Answer:
Charmaine paid $2.15
Step-by-step explanation:
So Charmaine only paid for 5% of the regular price
5/100×$43=5×$0.43
=$2.15
Answer:
2.15$
Step-by-step explanation:
95% of 43 is 40.85
43 - 40.85 = 2.15
Which example does NOT show the commutative property of addition? 4+x=x+4
Ab=ba
A+b=b+a
3x+4y=4y+3x
plz answer quick
Answer:
Ab=ba that one is multiplication I believe
Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $2.03 over a period of seven years.
Answer:
7.429 cents
Step-by-step explanation:
Given that:
Price change = $1.51 to $2.03
Period of time = 7 years
Therefore, the annual inflation rate :
Difference in price / number of years
($2.03 - $1.51) / 7
$0.52 / 7
= 0.0742857 per year
= 0.0742857 * 100 (about 7.429 cents per year)
The domain of f(x) = 4x is
The range of f(x) = 4* is
Answer:
Domain:
-∞ < x > ∞
Range:
-∞ < y > ∞
Step-by-step explanation:
If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas?
Answer:
$34.38
Step-by-step explanation:
Y: A random variable that indicates the amount of money that the seller will receive.
p=2,50$
if x=0 → y=0.2,50=0$
if x=5 → y=5.2,50 = 12,5 $
if x=10 → y=10.2,50= 25$
if x=15 → y=15.2,50= 37,5$
if x=20 → y=20.2,50= 50 $
if x=25 → y=25.2,50= 62,5$
Y= { 0$ ; 12,5$ ; 25$ ; 37,5$ ; 50$ ; 62,5$ }
E(Y)= ∑Y.P(Y)
= 0.P(0)+12,5.P(12,5)+ 25.P(25)+ 37,5.P(37,5)+ 50.P(50)+ 62,5.P(62,5)
= 0.0,01+ 12,5.0,15+ 25.0,25+ 37,5.0,3+ 50.0,25+ 62,5.0,04
= 0 + 1,875 + 6,25 + 11,25 + 12,5 + 2,5
= 34,38$ expected value of the amount of money the seller receives.
-8 - 4 = -2 + n - 6 - 8n please I need the answer
An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wide. One inch equals 2.54 centimeters. Use the ratio table to find the ratio of the length to the sum of the length and width in inches and in simplest form.
Answer:8: 21
Step-by-step explanation:
Given : An architect builds a model of a park in the shape of a rectangle. The length of the model = 40.64 centimeters
The width of the model = 66.04 centimeters
Since, .
Then ,
Now, the length of the model =
The width of the model =
Sum of length and width = 16+26=42 inches
Now, the ratio of the length to the sum of the length and width in inches :_
Hence, the ratio of the length to the sum of the length and width in inches in simplest form = 8:21
JUAN IS GOD GOD ID JUAN
11
Which correctly explains how to use place value and the distributive property to find the product of 742 and
Answer:
6678
Step-by-step explanation:
742 = 700+40+2
(700+40+2)*9 = 700*9+40*9+2*9 = 6300+360+18 = 6678
Answer:
D Write 742 as 700 + 40 + 2. Multiply each addend by 9. Then add the three products to get 6,678.
Step-by-step explanation:
I did the math >:3
sorry if it's wrong
in the exponential equation y=2(3)x, what is the value of x when y=18
Answer: X= 2
Step-by-step explanation:
if you substitute the options witht the x in the equation. 2 is the only one that has 18 as the result.
Find the missing values in the ratio table. Then write the equivalent ratios.
Forks 16 8 _
Spoons 10 _ 30
Answer:
the missing blank for forks is 0 and the missing blank for spoons is 20
Step-by-step explanation:
Which equation shows the result of substituting and expression for y from the first equation into the second equation for the given system {y=x+5 {y-2x=2
Answer:
x-2x = -3 and x = 3
Step-by-step explanation:
Given the expression
y=x+5.... 1
y-2x=2.... 2
Substituting the first equation into the second we will have;
From 2;
y -2x = 2
x+5-2x = 2
x-2x +5 = 2
x-2x = 2-5
x-2x = -3
-x =-3
x =3
Hence the required equation is x-2x = -3 and x = 3
Answer:
(x + 5) – 2x = 2
Step-by-step explanation:
Edge 2021
Write a linear function f with f (5) = -1 and f(0) = -5.
f(x)=____
Answer:
We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Step-by-step explanation:
Given
f(5) = -1f(0) = -5f(5) = -1 means at x = 5, y = -1
Hence, the point (5, -1) lies on the line function.
f(0) = -5 means at x = 0, y = -5
Hence, the point (0, -5) lies on the line function.
Thus, the two points on the linear line function graph are:
(5, -1)(0, -5)Finding the slope between the points (5, -1) and (0, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]m=\frac{-5-\left(-1\right)}{0-5}[/tex]
[tex]m=\frac{4}{5}[/tex]
The slope-intercept form of the linear line function
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
We have already determined the slope which is: m = 4/5
We know the y-intercept can be determined by setting x = 0 and solving for y.
Thus, the point (0, -5) represents the y-intercept b = -5.
Now, substituting m = 4/5 and b = -5 in the slope-intercept form
[tex]y = mx+b[/tex]
y = 4/5x + (-5)
y = 4/5x - 5
Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain
Answer:
It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.
Step-by-step explanation:
Annie rounds 280.05 to the nearest hundred.
Bobby rounds 280.05 to the nearest ten.
Ciro rounds 280.05 to the nearest integer.
Denise rounds 280.05 to the nearest tenth.
What is the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer?
Answer: 280.1
Step-by-step explanation: so the reason this is right is because any number under 5 would round it down but 5 and up and it would round up.
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
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Function A and Function B are linear Functions. Function A is represented by the equation
y= -2x+w. Function B is represented by the graph. Which statement is true?
A. The slope of function A is the same as the slope of Function B.
B. The slope of Function A is negative and the slope of Function B is positive.
C. The slope of Function A and B are both positive.
D. The slope of Function A and B are both negative.
Function B
Function A
y = -2x+3
1
2
7
Your answer
Answer:
6.0 and the other things that you want me on my way 6.0 and if I can
Answer:
I think it is 6.0
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
Which point is located at 2/4 on the number line??
Answer:
on C
Step-by-step explanation:
The point K is located at 2/4.
What is fraction?"It is a number expressed as a quotient, in which a numerator is divided by a denominator."
For given example,
We have been given a fraction 2/4.
We simplify given fraction 2/4 as
2/4
= 1/2
=0.5
Also, the midpoint of 0 and 1 is,
(0 + 1)/2 = 0.5
In the given graph the midpoint of 0 and 1 is denoted by K
Therefore, the point K is located at 2/4.
Learn more about fraction here:
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need help on math plz help
Answer:
C=304
Step-by-step explanation:
4cups everyday
elephants eat 74×
its 4×74=304
Answer:
4 x 76 = c; c = 304
Step-by-step explanation:
Hope this helps! :)
Let me know if I'm wrong.
A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.
Answer:
60xcm^3
Step-by-step explanation:
6 times 10 times x
60x
Angelinas grandfather gave her all the money he had in his pocket to buy. A raffle ticket that coast $1 each for her cheerleading fundraiser determine the independent quantity and the dependent quantity in the problem situation
Answer
independent quantity is the raffle tickets and the dependent is the amount of money
Step-by-step explanation: i believe im sorry if this is wrong
Please help me im stuck and the selected answer is not wrong or right i dont know
No these triangles are not similar.
Step-by-step explanation:
Given Information on First triangle :
Base = 3
Height = 8
Given information on Second triangle :
Base = 4
Height = 10
Area of a Right Angle triangle :
[tex] \frac{base \times height}{2} [/tex]
Area of First triangle :
[tex] \frac{3 \times 8}{2} = \frac{24}{2} \\ \\ = 12[/tex]
Area of Second triangle :
[tex] \frac{4 \times 10}{2} = \frac{40}{2} = 20[/tex]
Their Ratio :
[tex]12:20 = \frac{12}{20} \\ = \frac{3}{5} [/tex]
So I guess no, the triangles are not similar.
This is my last question!! I need help
Answer:
c) 533
Step-by-step explanation:
Use the trigonometry theorem
tan10°= 94/x
x=533