Answer:
The highest height the ball achieves is 4.5125 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
Quadratic function [tex]y = -0.2x^2 + 1.9x[/tex], which has [tex]a = -0.2, b = 1.9[/tex].
The maximum height of the ball is [tex]y_{v}[/tex].
Then
[tex]\Delta = b^2-4ac = (1.9)^2 - 4*(-0.2)(0) = 3.61[/tex]
[tex]y_{v} = -\frac{3.61}{4(-0.2)} = 4.5125[/tex]
The highest height the ball achieves is 4.5125 meters.
Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times
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Answer:
x = 10, y ≈ 11.2
Step-by-step explanation:
Hi there,
We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] ← Pythagorean Theorem
To find x:
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
c = 10
Therefore, the value of x is 10.
To find y:
We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.
[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]
[tex]a^{2}[/tex] + 100 = 225
[tex]a^{2}[/tex] = 125
a = [tex]\sqrt{125}[/tex]
a = 11.2 when rounded to the nearest tenth.
Therefore, the value of y is approximately 11.2.
Hope this explanation is useful. Cheers.
Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.
Answer:
The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.
Step-by-step explanation:
The computation of the magnitude and the period is given below:
First we determine the angular velocity that transforming the revolutions per minute,
So,
ω = (1200 rev / min) × (2π rad / rev) × (1 min / 60s)
ω = 125.66 rad / s
Now, the period is
ω = 2π ÷ T
T = 2π ÷ (125.66 rad / s)
T = 0.05 s
Hence, the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.
please help me answer this!
Answer:
right
Step-by-step explanation:
tell me if i was wrong
Ruth buys 19 identical tickets for £280.25.
Estimate the cost of one ticket.
Answer:
The cost of one ticket is $14.75
Step-by-step explanation:
To find the cost of one ticket we need to divide 280.25 by 19
=$14.75
plz mark me as brainliest
Answer:
The cost of one ticket is $14.75
Step-by-step explanation:
The cost of one ticket is $14.75
To find the cost of one ticket we need to divide 280.25 by 19
=$14.75
please mark as brainliest
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
63.5°
Step-by-step explanation:
Reference angle = x°
Opposite = 17
Hypotenuse = 19
Apply the trigonometric function, SOH:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
Substitute
[tex] sin(x) = \frac{17}{19} [/tex]
[tex] x = sin^{-1}(\frac{17}{19}) [/tex]
x = 63.474648° ≈ 63.5° (nearest tenth)
2 BEC = 74°. What is 2 AED?
Answer:
AED is also 74
Step-by-step explanation:
they share the same crossing lines
Answer: 74
Step-by-step explanation:
Plzzz helpppp
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8.
What is the least number of boxes of 8 candles that Terry needs to buy?
Answer:
11 boxes of candles
Step-by-step explanation:
first, set it up as an equation. let x stand for the amount of boxes she needs.
100=8x+15
next, subtract 15 from both sides of the equation.
100-15=8x+15-15
85=8x
then, you need to get x by itself. to do this, divide 8 from both sides of the equation.
85/8=8x/8
x=10.62, but you can't buy half a box, so you have to round up.
so, she needs to buy 11 boxes of candles.
please help with the question below
Answer:
I’m not sure but I. Think it’s a I guess
Step-by-step explanation:
PLZ HELP ASAP!! Given g(x)=f(x)+k, enter the value for k that transforms the function f into g?
What does k=
Answer:
k = -2
Step-by-step explanation:
firstly, let us examine the kind of transformation that we have
We have a transformation from (3,2) to (3,0) and (-3,0) to (-3,-2)
So, we are actually subtracting 2 from the values of f(x) to get the values of g(x)
This shows a vertical translation to the tune of 2 units in the downward direction
So, the correct answer here is that -2 is being subtracted from f(x) to give g(x)
Accordingly, the value of k in the question is -2
Ms. Neeson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Ms. Neeson bake?
Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=
Step-by-step explanation:
If$2500was invested 6 years ago, andtheinterestwascompoundedquar-terly,whatwastheinterestrateifthecurrentvalueis$3425?
Answer:
The interest rate was 5.24%.
Step-by-step explanation:
You can use the following formula to calculate the interest rate:
i=n*((A/P)^1/nt-1), where:
i= interest rate
n= number of times interest is compounded= 4
A=value of investment= 3425
P= principal= 2500
t=time= 6
Now, you can replace the values on the formula:
i=4*((3425/2500)^1/4*6-1)
i=4*(1.37^1/24-1)
i=4*0.0131
i=0.0524
According to this, the answer is that the interest rate was 5.24%.
what do ducks short necks help them to do? pls help :/
Answer:
In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water
Step-by-step explanation:
hope this helps
please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!
Answer:
D=360 M=288 V=648
Step-by-step explanation:
The graphs of which of these pairs of linear equations intersect at the point (-3, 2)? Select all that apply.
A 6x - y = 15
-3x + 4y = -18
B. 2x + y = -4
3x + 2y = -5
C. X + 8y = 19
4x - 5y = 2
D. 8x + y = 22
-2x - 5y=4
E5x - y = -17
x + 4y = 5
Answer:
Options B and E.
Step-by-step explanation:
We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).
The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.
Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.
A)
6x - y = 15
-3x + 4y = -18
In the first equation we have:
6*(-3) - (2) = 15
-18 - 2 = 15
-20 = 15
This is false, so we can discard option A.
B)
2x + y = -4
3x + 2y = -5
In the first equation we have:
2*(-3) + 2 = -4
-6 + 2 = -4
-4 = - 4
This is true, now let's look at the other equation.
3*(-3) + 2*(2) = -5
-9 + 4 = -5
-5 = - 5
This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.
C)
x + 8y = 19
4x - 5y = 2
In the first equation we have:
(-3) + 8*(2) = 19
-3 + 16 = 19
13 = 19
This is false, then we can discard option C.
D)
8x + y = 22
-2x - 5y=4
In the first option we have:
8*(-3) + 2 = 22
-24 + 2 = 22
-22 = 22
This is false, so we can discard option D.
E)
5x - y = -17
x + 4y = 5
In the first option we have:
5*(-3) - (2) = -17
-15 - 2 = -17
-17 = -17
This is true, now let's look at the other equation:
(-3) + 4*(2) = 5
-3 + 8 = 5
5 = 5
This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.
Then the correct options are B and E.
How many bases are there in the triangular pyramid shown below?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
In a pyramid, there is only one base that touches the ground.
However, in a prism, there are two bases, two of the same ends.
The front of the name of the shape also hints:
If it's an octagonal prism, there are two octagon bases.
If it's a hexagonal pyramid, there is one hexagon base.
Matrix Math! Find the Product
AxA^T
A
B
C
D
The answer is A.
Use Desmos Matrix Calculator. Enter you Matrix then the equation.
Which of the following statements are true?
A) 3 lbs of sugar is sugar is required to make 60 muffins.
B) 120 lbs of sugar is required to make 6 muffins.
C) 0 lbs of sugars required to make 0 muffins.
D) The maximum number of muffins that can be made is 220
Answer:
C
Step-by-step explanation:
Because 0 lbs of sugar is required to make 0 muffins
I hope this is right
Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?
Answer:
sinple interest= principle*rate*time/100
SI= 2400*3*1.5/100
SI= 108
AMOUNT= SI + PRICIOLE
AMOUNT= 108+2400
AMOUNT= 2508
{ I converted 18 months to 1.5 years}
What is the inverse you would use to solve this problem: c/2=16
Answer:
multiplication
Step-by-step explanation:
I need to know both of the questions please!
Answer: x=10 and angle RST is 75 degrees
Step-by-step explanation:
can someone pleease help my teacher will not help me.
Answer:
The perimeter is 206.
Step-by-step explanation:
When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.
Josea went out to dinner at an Indian restaurant. The
total bill was $38. She wanted to leave a 15% tip.
If you use the idea of scaling to find the tip amount,
what would she need to multiply by?
what is x in the expression 5x +7
Answer:
-1.4
Step-by-step explanation:
5x+7=0
5x=-7
x= -1.4
Answer:
1.4
Step-by-step explanation:
5x + 7
x +[tex]\frac{7}{5}[/tex]
x = 1.4
LAST QUESTIONS ABT THIS ASSIGNMENT, DUE IN 6 MINS!!
Answer: 168
Step-by-step explanation: just multiply base times length times height
Someone help please !!
Answer:
what grade is this?
You buy a pair of jeans for $32.00. The sales tax is 6%. How much will you have to pay?
Answer:
$33.92 ($1.92 in tax)
Step-by-step explanation:
% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.
$32.00
+ $1.92
=$33.92 total.
HELP ME ASAP!!!!!!!!!
friend request if the answer is correct plus you will get thanks, brainliest and a star rating of excellent! Good Luck!
Answer: A is 5 B is 6 C is 3
D is 7
Step-by-step explanation: I hope u get ur answer- and if I’m wrong plz tell me I took this lesson 2 days ago-
Answer:
Option:D
According to question,
Mass = m/3
Volume = 5*v
Density = mass/volume
=1/15*(m/v)
So its option D
Can someone help me write and solve an equation to this word problem : A seventh grade class sells gift cards. Each gift card sells for $15.00. The school library gets 35% of the money earned for each gift card sold. How much money does the library get if the class sells 500 gift cards
Answer:
The anwser should be 2625
Step-by-step explanation:
35% of 15 is 5.25
5.25 multiple by 500 is 2,625