Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.
In a certain town there were 348 robberies last year. This year the number of robberies has gone down 40%. How many robberies were there this year, to the nearest whole number?
Answer:
209 robberies
Step-by-step explanation:
Robberies last year =348
Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.
Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8
To the nearest whole number = 209
There are 209 robberies this year.
I hope this help.
HELP QUICK PLZ
The cost to purchase a song from iTunes is $0.99 per song. To purchase from Napster, you must be a member. The Napster membership fee is $10, in addition to $0.89 per song. How many songs would need to be downloaded for the monthly price of Napster to be the same as iTunes?
Answer:
It will take
100 songs for the monthly price of Napster to cost the same as iTunes.
Sam plans to use two flags on his float for the parade. Each flag is a right triangle and the triangles are similar.What is the width, x, of the larger flag in feet? halp please!!! 100 POINTS
Answer:
6.25 ft
Step-by-step explanation:
The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25
Answer:
6.25ft
Step-by-step explanation:
What would you call the expression 2x -5y - 7?
Answer:
Trinomial
Step-by-step explanation:
Its called a Trinomial since it has 3 terms in it
Hope its helps!
Part A
In the boxes provided, write three equations that can be solved to
find h, the number of hours it takes James to mow each of the
three lawns. Use h and = in each equation.
Equation for Mrs. Chavez's lawn:
Equation for Mr. Ortiz's lawn:
Equation for Mrs. White's lawn:
Answer:
Step-by-step explanation:
To find the number of hours for each, divide the amount of money he had received by the amount he would receive for 1 hour of work. (Answers are in the image below) I hope I wasn’t too late to help:)
Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z
Answer:
Area of rectangle = 10 in.²
Area of triangle = 0.5 in.²
Square inches of plastic in bookmark = 9.5 in.²
Step-by-step explanation:
✔️Area of rectangle = Length × Width
Length = 5 in.
Width = 2 in.
Area of rectangle = 5 × 2 = 10 in.²
✔️Area of Triangle = ½*bh
b = 1 in.
h = 1 in.²
Area of triangle = ½*1*1
Area of triangle = 0.5 in.²
✔️Square inches of plastic in bookmark = area of rectangle - area of triangle
= 10 - 0.5 = 9.5 in²
Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week
Answer:
If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.
nine more than the product of 22 and Gordons height
Answer:
9 + 22h
Explanation:
The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h
So, we have:
nine more than the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]
More than, in this case means plus (+)
nine + the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]
Rewrite nine as 9 and substitute h for Gordons height
9 + the [tex]product[/tex] of 22 and h
product, in this case means multiplication (*)
9 + 22 * h
So, the expression is:
9 + 22h
The students in Jamie's grade voted to select a guest speaker. 75% of
the students voted for a famous athlete. If there are 48 students in Jamie's
grade, how many students voted for the athlete?
Please need help please please
Answer:10
Step-by-step explanation:
Answer:
10 people
Step-by-step explanation:
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC=LMN?
A. ASA
B. LL
C. SAS
D. LA
E. HL
F. AAS
Answer:
C is the answer according to me
34. CONSTRUCTION A construction worker is working on the roof of a
building. A drop of paint falls from a rafter that is 225 feet above the
ground. After how many seconds does the paint hit the ground?
Answer:
t = 6.77 s
Step-by-step explanation:
Given that,
A drop of paint falls from a rafter that is 225 feet above the ground.
We need to find the time when the paint hit the ground. Let the time be t.
Using the second equation of kinematics i.e.
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Where
u = 0 (initial velocity is 0 as it was at rest)
a = g
So,
[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]
So, it will hit the ground at 6.77 s.
Azim wants to buy a tablet computer that is priced 180.50 if the sales tax rate on the computer is 8% how many dollars and cents will Azim spend on the sales tax only
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.
The graph of f(x)shown below resembles The graph of g(x)x^4,But it has been vertically compressed. Which of the following could be the equation of f(x)? 
A f(x)=-2x^4
B f(x)2x^4
C F(x)=-1/2x^4
D f(x)=1/2x^4
( NEED HELP ASAP PLZ)
Josiah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries? 1 pound = 1 pound= 16 ounces 16 ounces Before you try that problem, answer the question below. How many ounces of strawberries did Josiah buy?
Answer:
$0.30 per ounce
Step-by-step explanation:
16 ounces per pound
16 x 2 = 32 ounces per 2 pounds
9.60/32 = $0.30 per ounce
are z^3 and 3z equivalent expressions? explain.
Answer:
no, they are not.
Step-by-step explanation:
3z means a number multiplied by 3
so if z is 2, 3(2) = 6
but z^3 means z multiplied by z, and then multiplied by z again.
so if z is 2, it's 2x 2 = 4 x 2 = 8
let me know if you have questions
The two expressions are not equivalent to each other.
What are equivalent expressions?Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.
From the expressions given:
z^33zThe first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3Let us assume that:
z^3 = 3z
Now, let's replace 2 for the value of z on both sides, we have:
(2)^3 = 3(2)
8 ≠ 6
Learn more about equivalent expressions here:
https://brainly.com/question/2972832
Please, What is the answer?
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
----------------
Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem
Solve for x.
(Round to the nearest hundredth)
Answer:
Step-by-step explanation:
[tex]\frac{x}{40} =sin 40\\x=40 sin 40 \approx 25.71[/tex]
What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5
Easy brainliest for correct answer 100%
Answer:
B) A/l
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide l from both sides of the equation:
A = l * w
(A)/l = (l)/l * w
w = A/l
B) A/l is your answer.
~
A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
What value of x is in the solution set of 2x - 3> 11 - 5x?
0 -3
O 0
O2
o 4
Answer:
The answer is x>2, x has to be greater than 2,
the answer is 4 since it is greater than 2
What is the value of x in the equation?
3(2x+3)=27
Answer:
x=3
Step-by-step explanation:
3(2x+3)=27
2x+3=27/3=9
2x=9-3=6
x=6/2=3
Henry constructed circle A with a radius of 4 units. He then created a sector
as shown in the figure below. Which of the following expressions would help
him find the area of the shaded sector?
Answer:
C
Step-by-step explanation:
area of circle is found by [tex]\pi[/tex][tex]r^{2}[/tex]
r=4 so 4*4=16
so A=16[tex]\pi[/tex]
we are finding area of shaded part so 45/360(16[tex]\pi[/tex])
The area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
Henry constructed circle A with a radius of 4 units.
Henry then created a sector as shown in the figure below.
As we know, the area of the sector can be find using the formula:
Area of the sector = (θ/360)πr²
Here, θ is the central angle
r is the radius
π = 3.141
r = 4 units
θ = 45 degrees
A = (45/360)π(4)²
A = (45/360)16π square units
Thus, the area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
True or false. Basketball is one of the only sports that has a specific founder and known
location when it was created.
Answer:
True
Step-by-step explanation:
Hope this helps you
5. What is the volume of the figure below?
18 cm
5 cm
12 cm
A. 180 cm
B. 540 cm
13 cm
C. 380 cm2
D. 360 cm3
Answer:
732
Step-by-step explanation:
1. Given f(x) = 3
Find |(2)
What is a measurement 90 degrees called
Answer:
A right angle.
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
Evaluate the function f(x)=x+4 when x=3
Answer:
f(3) = 7
Step-by-step explanation:
f(3) = 3+4
f(3) = 7