Step-by-step explanation:
300+200+200 = 700.
so simple
hope this helps you.
Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)
Using quadratic function concepts, it is found that:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.The height of the rocket after x seconds is given by:
[tex]h(x) = -5x^2 + 10x + 20[/tex]
Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].
The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a}[/tex]
[tex]\Delta = b^2 - 4ac[/tex]
Then:
[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]
[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]
[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]
Thus:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It hits the ground when [tex]h(x) = 0[/tex], thus:
[tex]-5x^2 + 10x + 20 = 0[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]
We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.
A similar problem is given at https://brainly.com/question/24705734
True or False
An example of an annual expense would be electricity because you receive a bill each month.
Answer:
True
Step-by-step explanation:
can you PLEASE tell me the answer
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
B
Step-by-step explanation:
corresponding sides of similar triangles are same ratio
[tex]\dfrac{JK}{UT}=\dfrac{KL}{TS}\\\\\dfrac{x}{20}=\dfrac{8}{16}\\\\x=\dfrac{8}{16}*20\\\\x=10[/tex]
QUICK HURRY I NEED THE ANSWER TOO 10(-11) HURRY!!!!!
Answer:
-110
Step-by-step explanation:
Answer:
-110
Step-by-step explanation:
Divide. Express your answer in simplest form. 2 1/2 ÷ 2 1/6
13/15 5 5/12 26/30 1 2/13
Answer:
[tex] \frac{15}{13} = 1 \frac{2}{13} [/tex]
Step-by-step explanation:
[tex]2 \frac{1}{2} \div 2 \frac{1}{6} \\ \\ \\ \frac{5}{2} \div \frac{13}{6} \\ \\ \\ \frac{5}{2} \times \frac{6}{13} \\ \\ \\ \frac{5}{1} \times \frac{3}{13} \\ \\ \\ = \frac{15}{13} \\ \\ \\ = 1\frac{2}{13} [/tex]
I hope I helped you^_^
Answer:
[tex]2 \frac{1}{2} /2 \frac{1}{6} = \frac{5}{2} / \frac{13}{6} [/tex]
[tex] = \frac{5}{2} \times \frac{6}{13 } = \frac{5 \times 6}{2 \times 13} [/tex]
[tex] = \frac{5 \times 3}{1 \times 13} [/tex]
[tex] = \frac{15}{13} [/tex]
[tex] = 1 \frac{2}{13} [/tex]
Step-by-step explanation:
Thank you!!!!!!!!!!!
The oldest elephant at a zoo eats 162 pounds of hay per day. This elephant eats 3 times as much hay as the youngest elephant. How much hay does the youngest elephant eat per day?
A 54 pounds
B 59 pounds
C 53 pounds
D 64 pounds
Answer:
A.54
Step-by-step explanation:
because 162 divided by 3 equal 54.3
The mean of 3 numbers is 10. 2 of the numbers are 7 and 4. Find the 3 number
Answer:
The Third number is 19
Step-by-step explanation:
7 + 2 = 11 then add 19=
11 + 19 = 30 After divide by three because there are 3 numbers
30.6 ÷ 3 = 10
Remember: To find the mean you add all the numbers together and divide by how many numbers are there.
For example: you have 2, 5, 8 you add them together which is 15. There are 3 numbers so you divide 15 by 3 which is 5.
Given the following functions, find the indicated values,
f(x)= 1 - 5x
(a) f(-4) (b) f(0) (C) f(5)
(a) f( – 4)=0
Answer:
Riley restoration rotators
What are unit rates, and how are they used?
hope it helps
Answer:
A unit rate means a rate for one of something
they are and can be used as speed limits or signs for someone to do something. like go and stop
Step-by-step explanation:
What is the product (−4)(7)(−2)
Answer:
98
Step-by-step explanation:
1. (-4)(-2) equals 14 beacuse when you muiltpy two negatives yiui get a postive.
2. 14(7) equals 98
I need this bonus question
Answer:
52 units^2
Step-by-step explanation:
The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.
A_dresser = LW = 4(3) = 12 units^2
The area of the bed is a little more complicated, but you can get by using just areas of rectangles.
See the picture below.
Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.
The area of the square is 81 units^2.
We need to subtract the areas of the 4 triangles at the corners.
There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.
There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.
Now subtract 25 and 16 from 81 to get the area of the bed.
81 - 25 - 16 = 40
A_bed = 40 units^2
Combined area of bed and dresser:
A = 40 units^2 + 12 units^2 = 52 units^2
Answer: 52 units^2
Here's another way of finding the area of the bed:
Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:
31 + 1/2 * 18 = 31 + 9 = 40
You get 40 units^2
what is 20.1000÷300000
Answer:
0.000067
or
6.7*10^-5
Step-by-step explanation:
brainliest plz
Use either direct or synthetic substitution to evaluate the following:
f(x)=2x2-3x2+2x-5 for f(3).
Alexis is selling team cards for her volleyball fundraiser. She expects to sell 4 cards for every 5 houses that she visits. If she wants to sell 20 cards total, how many houses should she expect to visit?
Answer:
5 houses
Step-by-step explanation:
She needs to visit 5 houses as 20 divided by 4 is 5
Plz, can anyone answer this question
20x+17=35x+30 help
Is due tomorrow
Answer:
x=[tex]-\frac{13}{15}[/tex]
or 15x=-13
Step-by-step explanation:
20x+17=35x+30
20x-35x=30-17
-15x=13
x=[tex]-\frac{13}{15}[/tex]
How do you do this question?
Answer:
The answer I think, might be or possibly is A 20 aq ft. Bcuz, if you use the 1:4 scale, you'll get like for an example, 20:80..So, 5:? must be 5:20..get what I mean??? it's kinda tuff for me to explain since English is not my first language but thereee you go XD
To approximate the length of a lake, a surveyor starts at one end of the lake and walks 245 yards. He then turns 110 and walks 270 yards until he arrives at the other end of the lake. Approximately how long is the lake?
Answer:
Surveying To approximate the length of a marsh, a surveyor walks 250 meters from point to point , then turns and walks 220 meters to point (see figure). Approximate the length of the marsh.
hope it helped
Step-by-step explanation:
The approximate length of the lake is 625 yards.
Given that, a surveyor starts at one end of the lake and walks 245 yards.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
He then turns 110 and walks 270 yards until he arrives at the other end of the lake.
Total length of the lake is
245+110+270 =625 yards
Therefore, the approximate length of the lake is 625 yards.
Learn more about the total here:
https://brainly.com/question/15842940.
#SPJ2
Employees hourly rate work is $2.90.each employee works for 8 hours a day. What would be the daily income of the employee
Answer:
$23.20
Step-by-step explanation:
1 hour of work = $2.90
8 x 2.90 = 23.20
8 hours of work will get an employee $23.20
If they worked 8 hours daily in a week:
7 x 23.20 = 162.40
Working 8 hours every day in a week will get them $162.4
In QRS, Q = S, SQ = 5 and RS = 11. Find the length of QR.
Angle Q = 31°
Angle R = 118°
Angle S = 31°
in need of desperate help, lol not super desperate, just confused, thanks so much!
Answer:
Step-by-step explanation:
The km/minute is different for segment, so "The train does not always go . . ."
Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.
===
Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.
geometry pls help! im
beggingggg!
Answer: D; B
Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D
James drove to his brother’s house, which was 225 miles away. It took him 3 hours to get there. What was his average speed per hour
75
55
85
62.5
Answer:
75
225÷3=75
Step-by-step explanation:
hshshshshs
Answer:
75
Step-by-step explanation:
Transpose for = + working out too
Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.
Step-by-step explanation:
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answer:
F=36
Step-by-step explanation:
F= 12 times 9 divided 3 = 36
The question requires calculating the objects mass in kilogram (kg)
The mass in kg of the objects is 4 kg
Given:
F = ma
Where,
F = Force (N)
M = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
Read more:
https://brainly.com/question/25250873
Linear vs non linear functions
I’m completely confused on how to do linear vs non linear functions. Does anyone have step by step on how to do them?
Answer:
A linear function has a constant rate of change. A nonlinear function does not
Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.
My advice is to graph it and look at the points.
Good luck! Pls give brainliest!
Answer:
See Picture & I hope this helps!:)
Step-by-step explanation:
help please, im confused
Step-by-step explanation:
x=½y+5. ......i
2x+3y=-14. .....ii
putting the value of x in equation ii.
2(½y+5)+3y=-14
y+10+3y=-14
4y=-24
y=-6
Now, putting the value of y in first equation.
x=½y+5
x=(½×-6)+5
x=-3+5
x=2.
therefore, the value of x=2 and y=-6.
So, option D is correct answer.
hope this helps you.
#6.
In the diagram below ABC~DEF, DE=4, AB=x AC=x+2 and DF= x+6
Determine the length if AB
Please help me with this one!
Answer:
x = 2
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
7x² = 28 ( divide both sides by 7 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
WHAT IS THE MEASURE OF ANGLE A
WHAT IS THE MEASURE OF ANGLE B
WHAT IS THE MEASURE OF ANGLE C
Answer:
∠A = 100
∠B = 50
∠C = 30
Step-by-step explanation:
Sum of all angles of triangle = 180
∠A + ∠B + ∠C = 180
2x +x + x - 20 = 180 {Combine like terms}
4x - 20 = 180
Add 20 to both sides
4x = 180 + 20
4x = 200
Divide both sides by 4
x = 200/4
x = 50
∠A = 2x = 2*50 = 100
∠B = x = 50
∠C = x - 20 = 50 - 20 = 30
helppppppppppppppppppppppppppppppppppp
Answer:
24 kilograms of catfish
Step-by-step explanation:
Take the percentage of catfish as a decimal or fraction and multiply it by the total amount of fish caught. The percent of catfish is 40% which is the same thing as 0.4. Multiply that by the total 60 kg of fish to get 24 kg of catfish.