Answer:
a) 5 secb) 10 secc) 400 mStep-by-step explanation:
Given is the quadratic function:
h(t) = -16t^2 + 160tThis gets maximum value at vertex, which is achieved at:
x = -b/2a, of y = ax^2 + bx + cIn our case:
t = -160/2(-16) = 5 secondsMaximum height is at vertex:
h(5) = -16*5^2 + 160*5 = 400 mTime the ball hits the ground, h(t) = 0:
-16t^2 + 160t = 0t^2 - 10t = 0t(t - 10) = 0t = 0 seconds is the starting pointt = 10 seconds is when the ball hits the groundWhat is 1/2 divided by 2/3? In fraticons.
Ms. Trowbridge will receive a 40% discount off her first cell phone bill. Her monthly cell phone plan charges a flat monthly fee of $25.00 plus $0.20 per minute. If Ms. Trowbridge talks on her cell phone for 300 minutes during the first month of cell phone service, what will be the amount of her first cell phone bill?
1: 34.00$
2:36.00$
3:45.00$
4: 51.00$
Answer:
3
Step-by-step explanation:
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The first cell phone bill of Ms. Trowbridge after 40% discount is $51.
What will be the amount of her first cell phone bill?Given information:
The discount on first cell phone bill = 40%
The flat charges on bill = $25
The charge per minute = $0.20
Since $0.20 is charged per minutes, the amount charged for 300 minutes will be :
300 x 0.20 = $60
Her monthly cell phone plan charges a flat monthly fee of $25.00.
the total amount charged will be;
$60 + $25 = $85
There is a 40% discount , then we have 40% of $85
= $34
So, the amount of her first cell phone bill ,
= $85 - $34
= $51.00
Hence, the first cell phone bill of Ms. Trowbridge after 40% discount is $51.
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please help me please
Show that the function of f(x) = a - x is its own inverse for all real numbers a
f(x) = a - x
y = a - x
y + x = a - x + x
y + x = a
y + x - y = a - y
x = a - y
f-¹(x) = a - x
The inverse of a function is the opposite of the function.
See below for the proof of: [tex]\mathbf{f(x) = f^{-1}(x)}[/tex]
The function is given as:
[tex]\mathbf{f(x) = a - x}[/tex]
Rewrite as:
[tex]\mathbf{y = a - x}[/tex]
Swap x and y
[tex]\mathbf{x = a - y}[/tex]
Make y the subject
[tex]\mathbf{y = a - x}[/tex]
Rewrite as:
[tex]\mathbf{f^{-1}(x) = a - x}[/tex]
Hence:
[tex]\mathbf{f(x) = f^{-1}(x) = a - x}[/tex]
Read more about inverse functions at:
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A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit is rs 30. find the cost price
Answer = 100 Rs
Explanation:
Given, the profit is 30% and the amount of profit is 30 Rs.
So, we can say that 30% = 30Rs
1% = 30/30
100% = 30(100)/30
100% = 100
The Cost Price is 100 Rs
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PLEASE RESPOND with an EXPLANATION!
Answer: 22
Step-by-step explanation:
Answer:
the answer is 22
Step-by-step explanation:
you have the -22 ferinhiet and then you add 44 and you have positive 22and you get the 44 from the negative because you atuomatically add the oppisite of -22 and you get positive 22 and -22 + 44 = 22 :)
!!!!!!! PLEASE PLEASE, HELP ME. i SERIOUSLY CANT FAIL THIS. I NEED HELP SO BAD. IM REALLY STUCK PLEASE.!!!
A boat’s velocity, measured in meters per second, is described by vector = 〈3,4〉. In two or more complete sentences explain how to find the speed of the boat and the direction it is traveling in standard position. In your final answer, include all of your calculations.
Answer:
Plot the point, and draw a right triangle from that point and the x-axis.
The hypotenuse is the speed. Use A^2 + B^2 = C^2 to calculate it.
Imagine a compass on your graph. Straight up along the y-axis is North. The angle clockwise from there to the hypotenuse is the compass direction of travel. Use tan(3/4) to get the angle from the x-axis, then add 90 since it's in quadrant 4. (compass directions are never negative)
i hope that helpsss :)
good luck on everything <3
Please help please GCF FACTOR HELP MATH
Answer:
7x^2y^3z^5(x^2y^5 + 2z^6)
Step-by-step explanation:
7x^4 y^8 z^5 + 14x^2 y^3 z^11
try to get the smallest of each number and variable outside if that makes any sense
14 can go into 7 two times so take out 7 and multiply it by the whole thing
7(x^4 y^8 z^5 + 2x^2 y^3 z^11)
then x y and z
7x^2y^3z^5(x^2y^5 + 2z^6)
sorry its kinda hard to see exponents in this form hopefully this helps
Help! And explain why!
Answer:
Side, angle, side, because it shows 2 different equal sides of the 2 triangles, and it also shows one equal angle.
Select all that justify the following statement.
10 + x • 12 = 12x + 10
commutative - addition
identity - addition
associative - multiplication
commutative - multiplication
symmetric
associative - addition
distributive
Answer:
A
Step-by-step explanation:
Sally has x colored markers. Her teacher has 96 colored markers, which is 4 times as many as Sally has. The equation below can be used to find the number of colored markers Sally has.
4x = 96
John has 14 more colored markers than Sally. How many colored markers does John have?
A. 14
B. 38
C. 110
D. 336
(Pls help me with this, I picked D for this one...
Answer:
Step-by-step explanation:
Sally has 24 markers. 96 divided by 4 = 24
John = Sally +14
X= 24 +14
John has 38 markers.
unit meaure of ice cream?
Answer:
what the question
Step-by-step explanation:
where your question?
What are ways that people can stand up for something without bringing violence into it?
Some ways a person can stand up for something without creating violence is by creating a blog post on social media, attaching propaganda to bulletin boards outside, starting a go fund me, and lastly they can try to get in connect with someone famous or with a huge following to speak out and agree with the person. And since that celebrity has such a huge fan base their ideas and thoughts will be heard and payed attention to. These are a few ways people can stand up for something without it generating violence.
Determine the area of the rectangle with perimeter 82 inches and maximum area.
Answer:
Area = 420.25 in²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.
Let x represent the length of the rectangle and y represent the width of the rectangle. Hence:
Perimeter = 2(length + width)
82 = 2(x + y)
x + y = 41
x = 41 - y
The area of the rectangle (A) = length * width
A = xy
substitute x = 41 - y:
A = (41 - y)y
A = 41y - y²
The maximum area occurs at A' (dA / dy) = 0. Hence:
A' = 41 - 2y
0 = 41 - 2y
2y = 41
y = 20.5 inches
substitute y = 20.5 inches in x = 41 - y:
x = 41 - y = 41 - 20 .5
x = 20.5 inches
The area = xy = 20.5 in * 20.5 in
Area = 420.25 in²
Answer:
420.25 in²
Step-by-step explanation:
A sphere has a radius of 5.3 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?
Answer:
623.61 cm³
Step-by-step explanation:
Given:
Radius of sphere (r) = 5.3 cm
Required:
Closest volume of the ball
SOLUTION:
Volume of a sphere = ⁴/3πr³
Radius (r) = 5.3 cm
Plug in the value of r
Volume = ⁴/3*π*5.3³
Volume = ⁴/3*π*148.877
Volume = 623.61 cm³
623.61 cm³ is closest to the volume of the ball.
at a pumpkin patch celeste bought a pumpkin that weighed 5,585 grams how many kilograms did the pumpkin weigh
Answer:
5.58
Step-by-step explanation:
Finish solving the system of equations. x - 5y = 6 -x + 2y = -3 -3y = 3 What is the value of y? Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?
Answer:
y = -1, x = 1
Step-by-step explanation:
-3y = 3
y = 3/-3
y = -1
-x + 2y = -3
-x + 2(-1) = -3
-x - 2 = -3
-x = -1
x = 1
Answer: The answer is -1 and 1.
Step-by-step explanation: I got this correct on Edge, Hope this helps!
whoever answers this gets brainliest and thanks and 5 start rating: w = 7-√g
Answer:
Hi! The correct answer is g=w^2-14w+49!
Step-by-step explanation:
. log 3x4
Expand each expression
Answer:
12
Step-by-step explanation:
because 3x4 is 12
Use synthetic substitution to find f (-5) for f (x) = x^3– 5x +2.
Answer:
_5*_5*_5=_125
_5(_5)=25
25+2=27
_125+27=_98
pls help :( GIVING BRAINLIEST!
Answer:
D
Step-by-step explanation:
12 ÷ 3 = 4
24 ÷ 6 = 4
45 ÷ 9 = 5
60 ÷ 12 = 5
These don't match
1+5/4n+3/2p-3-1/2p+3/4n
Answer:
The simplified expression of your question is
11n/2-p/2-2
Debbie invested money in an account which pays 5% annual interest. After one year she had earned $102 interest. How much money did she invest
Step-by-step explanation:
A = P(1 + r)^t
(P + $102) = P[1 + (0.05)]^(1)
P + $102 = 1.05P
0.05P = $102
P = $2,040.
Hence Debbie invested $2,040.
a package of 8 rechargeable batteries cost 12. at the rate how much would 20 rechargeable batteries would cost
Step-by-step explanation:
8 battery =12
20 battery =?(x)
8x=240
x=240÷8
x=30
for 20 battery..it would cost 30
8. Describe how to turn 20 feet to centimeters. (feet to inches then to centimeters)
Answer:
Step-by-step explanation:
you can divide 20 by 12 to get inches then divide that by 2.54 and you get how many centimeters
6(2w+5) +9 (w+2) What is the answer? I really need help, thanks.
Answer:
3(7w+16)
Step-by-step explanation:
hope this helps!
Which of the following is NOT a factor of 45?
3
9
15
7
Answer:
7
Step-by-step explanation:
These are the factors of 45 (1, 45), (3, 15) and (5, 9).
Answer: 7 is not a factor of 45
Step-by-step explanation:
find the distance between the pionts(-5,1) and (4,1)
Explanation:
The formula for calculating the distance between two points is: d = √ ( x 2 − x 1 ) 2 + ( y 2 -y 1 ) 2 Substituting the points from the problem gives: d = √ ( 0 − 5 ) 2 + ( 4 − 1 ) 2 d = √ ( − 5 ) 2 + ( 3 ) 2 d = √ 25 9 d = √ 34 Or d =3 5.8 rounded to the nearest hundredth.
Solution for the inequality: 12x-3x +11 > 4x - (17-9x)
Answer:
x<7
Step-by-step explanation:
12x-3x +11 > 4x - (17-9x) combine like terms
9x+11>4x - (17-9x) simplify
9x+11> 13x -17 move like terms, then combine
-4x>-28 divide to isolate the variable
x<7
Step-by-step explanation:
12x-3x +11 > 4x - (17-9x)
9x+11 > 4x-17+9x
9x+11 > 13x-17
9x-13x > - 17 - 11
- 4x > - 28
x < 7
or
x ∈ 《- ∞ , 7 》
What is the solution to this inequality x-7>8
Answer:
Choice a: [tex]x>5[/tex]
Step-by-step explanation:
All you have to do on this one is add the 7 on both sides.
[tex]x-7>8\\x>5[/tex]
So the answer is anything greater than 5.