Answers
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
Related Questions
Help pls I will mark you brainliest
Answers
Answer:
no#2
Step-by-step explanation:
What is 40% of 50,000
Answers
Step-by-step explanation:
this is your answer...........
Help please, will mark you as brainliest!!
Need help on both..
Answers
Answer:
the answer is c for the second one and the first one is A
A new computer is on sale for 1/5
off the original price. If the original price of the computer is $1495, what is the
sale price?
$1794
$1196
$1288
$299
Answers
Answer: $299
Step-by-step explanation:
divide the original price by 5
Sale price of the computer is equals to $299.
What is sale price?" Sale price is defined as the discounted price at which goods are sold."
According to the question,
Original price of the computer = $1495
Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer
Substitute the value to get the sale price of a computer we get,
Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]
= $299
Hence, sale price of the computer is equals to $299.
Learn more about sale price here
https://brainly.com/question/25101522
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Please help with part A!!
Answers
Answer:
Option A. A and D
Step-by-step explanation:
This answer because they are both right triangles and are near the same size
Hope this helps!
Find the area of a semicircle with a radius of 3 inches.
Answers
Answer:
Area of a CIRCLE with radius of 3 inches is
PI * radius^2 =
3.14159265 * 3^2 =
28.27433385 square inches.
Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:
14.137166925 square inches which rounds to about
14.14 square inches
Step-by-step explanation:
Complete the expressions to find the perimeter P of a rectangle that is 7 inches long by 5 inches wide.
P21+2
-2.7+
20
15
Answers
Answer:
[tex] P = 2*7 + 2*5 [/tex]
[tex] P = 14 + 10 [/tex]
[tex] P = 24 inches [/tex]
Step-by-step explanation:
Lenght (l) of rectangle = 7 inches
Width (w) of rectangle = 5 inches
Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]
Plug in the values of l and w into the formula:
[tex] P = 2*7 + 2*5 [/tex]
Multiply each
[tex] P = 14 + 10 [/tex]
Add together
[tex] P = 24 inches [/tex]
Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00
Range: {y E RI y <0}
Domain: {r €R! -
Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI-
Domain: {i e RI-00 <
Range: {y € R. y > }
Submit
Answers
Answer:
It's all in the picture. good luck :)
Step-by-step explanation:
Domain : R
Range : ( - ∞, 0)
(Refer the image attached for complete question)
We have the following function -
k(x) = [tex]-2^{x}[/tex]
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
k(x) = [tex]-2^{x}[/tex]
for x = 0, the function k(0) = 1
The function k(x) has the exponential function ([tex]e^{x}[/tex]) as its parent function.
If we plot the graph of the function k(x), it will look like as shown in the figure attached.
The graph of the function k(x) = [tex]-2^{x}[/tex] is the reflection of the graph [tex]2^{x}[/tex] along x - axis.
The Domain of the function k(x) : R
The Range of the function k(x) : ( - ∞, 0)
To solve more questions on Domain and Range , visit the link below -
brainly.com/question/1632425
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7(-8)-2y=-52
help...
Answers
Answer:
y=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7x - 2y = -52
7(-8) - 2y = -52
-56 - 2y = -52
-2y = 4
y = -2
Best of Luck!
Which choice correctly expresses the number below in scientific notation?
Answers
Answer:
I think 2nd option is correct
Use the Pythagorean Theorem to find the missing length in the right triangle
12 cm
a
17 cm
The missing length is
cm.
(Round to one decimal place as needed.)
Answers
Answer:
it depends
Step-by-step explanation:
If 17 is the hypotenuse
[tex]c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6[/tex]
if you are looking for the hypotenuse
[tex]a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8[/tex]
Why do I keep getting the answer: 35 11/16
Or another answer of 38 ¾
depending on if I convert the mixed number to an improper fraction of not...
what am I doing wrong???
This is the word problem:
"To find the area of a square room, Gordon must square the length of one side. The length of one side of room A is 1 ¼ yards. The length of one side of room B is 6 yards. What is the area of both rooms together?"
The correct answer is 37 ⁹/16
I did the math, and wrote the expression as: (1 ¼)² + 6². but still getting it wrong.....
also should I always convert a mixed number before using it's exponent???
Answers
Answer:
see explanation
Step-by-step explanation:
The sum of the areas of the 2 rooms is
(1 [tex]\frac{1}{4}[/tex] )² + 6² ← change the mixed number to an improper fraction
= ([tex]\frac{5}{4}[/tex] )² + 6²
= [tex]\frac{25}{16}[/tex] + 36
= 1 [tex]\frac{9}{16}[/tex] + 36
= 37 [tex]\frac{9}{16}[/tex]
The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.
Answers
Answer:
It has a constant slope.
Step-by-step explanation:
A linear function graphs as a straight line. It will have a constant rate of change.
It has a constant slope.
Answer:
D. It has a constant slope on Edg2020
Step-by-step explanation:
Hope this helps!!! Have a great day!!!
what is 100000x 0
asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd
Answers
4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.
Answers
Answer:
x=105
y=75
z=105
Step-by-step explanation:
Answer: x=105 y=75 z=105
(2/3)^3(1/5•2/3)^-3(1/5)^4
PLS HELP
Answers
Answer:
1/5
Step-by-step explanation:
You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.
I need help on this question 133^4/133^1
Answers
Answer:
[tex]133^3[/tex] (or 2352637)
Step-by-step explanation:
[tex]\frac{133^4}{133^1}=133^{4-1}=133^3[/tex] (or 2352637 for exact value)
reasoning can you name a real number that is represented by √-36? Explain
Answers
Your question has been heard loud and clear
√-36 is by no means a real number. This is because square roots can only be positive in nature.
Eg: -2*-2 = 4 and 2*2 = 4 , so √4 = -2 or 2 but √-4 doesnt exist.
So , √-36 also does not exist while √36 exists.
√-36 , we can however represent it as an imaginary number as 36i
Thank you
What’s the area of the walk?
A circular flower bed is 21 m in diameter & has a circular sidewalk around it 2 m wide. (Use pi as needed in answer)
Answers
You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation
Answers
Answer:
It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
Step-by-step explanation:
From the question,
The total cost of the vacation is 1200.0 dollars, that is $1200.0
Also, you earn $16.50/hour but you only work for 4 hours each day.
First, we will determine how much you earn in a day.
If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is
$16.50/hour × 4 hour
= $66.00
Hence, you earn $66.00 dollars each day.
Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be
The cost of the vacation divided by the amount earned each day
Cost of the vacation = $1200.0
Amount earned each day = $ 66.00
Hence, the number of days it will take for you to earn enough money to pay for your vacation is
$1200.0 / $66.00
= [tex]18\frac{2}{11} days[/tex] or 18.18 days
Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
find the midpoint of the segment with the following endpoints (8,7) and (5,4)
Answers
(Y1-Y2)/2 = 7-4/2 = 1.5
Now add (1.5,1.5) to (5,4) u get the mid point (6.5,5.5)
1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)
Answers
Answer:
The first angle is [tex]70^{o}[/tex].
Step-by-step explanation:
Let the measure of the second angle be represented by [tex]x^{o}[/tex].
Thus, the first angle = [tex](3x+10)^{o}[/tex]
Third angle = [tex]90^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]
divide both sides by 4 to have;
[tex]x^{o}[/tex] = [tex]20^{o}[/tex]
The first angle = [tex](3x+10)^{o}[/tex]
= ( 3 x 20 + 10)
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the first angle is [tex]70^{o}[/tex].
solve integers -32+ 10
Answers
Answer:
-22
Step-by-step explanation:
You have to add -32+10
and you will get the answer -22
Answer:
-22
Step-by-step explanation:
On a number line, negative numbers go left and posative numbers go right. So on a numberline, if you find -32 and jump ten spaces to the right, you land on -22
what is b in this equation
b÷4+16=48
Answers
Answer:
b=128
Step-by-step explanation:
b÷4+16=48 isolate b
b÷4= 32
b= 128
Answer:
b=128
Step-by-step explanation:
rewrite
1/4b + 16 = 48
multiply both sides by 4
b + 64 = 192
move constant to the right and change he sign
b = 192-64
subtract
b = 128
You are part of a construction company that is supposed to build houses. An architect has left you plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 30 houses. Island A and Island C have a total of 40 houses. Island B and Island C have a total of 36 houses. A total of 53 houses is to be built on the three islands. Determine how many houses are to be built on each island. Show how to represent the problem in each of the following ways and solve them. (This is the verbal description, use sentences to explain) I. Concrete or pictoral representation II. Graph III. Algebraic Formula IV. Table
Answers
Answer:
Island A=17 house
Island B= 13 house
Island C=23 house
Step-by-step explanation:
Island AB=30 house
Island AC=40 house
Island BC=36 house
Island ABC=53 house
53 - 30= 23 house which is the total of house on island c
53-40=13 house which is the Total of house on island b
53-36=17 house which is the Total of house on island A
13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.
Answers
Answer:
CP of ring = 1200
profit % = 15%
Profit amount = 15% 0f 1200 = 180
SP = 1200 + 180 = 1380
Answer:
€ 1380
Step-by-step explanation:
The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,
[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]
he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).
So, the selling price (the new price of the ring) would be:
= Original price + profit
= €1200 + €180
= €1380
Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot
Answers
Answer:
The box plot
Step-by-step explanation:
i’m not sure if this is right??
Answers
Answer:
I think its right
Step-by-step explanation:
thats what I got too
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Answers
Answer:
11
Step-by-step explanation:
you just divide it
Answer:
11
Step-by-step explanation:
I thought collage students could do simple division...
Lol
which of the numbers doesnot belong in the number series
1 – 2 – 5 – 10 – 13 – 26 – 29 – 48
is it
a. 1
b. 5
c.26
D.27
E. 48
Answers
Answer:
the sequence first numbe * 2, +3, *2
so 48 doesnot belong it should be 58
Step-by-step explanation: