Answer:
The maximum height the soccer ball reaches is 9.77 feet.
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].
Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second.
The formula for the height is:
[tex]h(t) = -16t^2 + v(0)t + h(0)[/tex]
In which v(0) is the initial velocity and s(0) is the initial height.
Initial velocity of 25 feet per second means that [tex]v(0) = 25[/tex]
Kicked off the ground means that [tex]h(0) = 0[/tex]. So
[tex]h(t) = -16t^2 + 25t[/tex]
Which is a quadratic equation with [tex]a = -16, b = 25, c = 0[/tex].
The maximum value is:
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
In which
[tex]\Delta = b^2-4ac = 25^2 - 4(-16)(0) = 625[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = \frac{625}{4(16)} = 9.77[/tex]
The maximum height the soccer ball reaches is 9.77 feet.
Which theorem can be used to show that AJKL - AMNP?
Answer:
C. ASA Similarity
Step-by-step explanation:
Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.
18 packs of socks fit into a box.
There are 7 boxes.
How many packs of socks are there in total?
Answer:
no. of packs in one box = 18
no. of boxes = 7
total no. of packs of socks = 18*7
=126
Answer:
126 packs
Step-by-step explanation:
1 box = 18 packs
7 boxes = ? packs
7 * 18 = 126 packs
The five number summary of a dataset was found to be:
1, 5, 11, 17, 20
An observation is considered an outlier if it is below:
An observation is considered an outlier if it is above:
Answer:
Below - 13
Above 35
Step-by-step explanation:
Given the 5 number summary :
1, 5, 11, 17, 20
Minimum = 1
Q1 = 5
Q2 = 11
Q3 = 17
Maximum = 20
Lower Outlier = Q1 - 1.5*IQR
Upper Outlier = Q3 + 1.5*IQR
IQR = Q3 - Q1 = 17 - 5 = 12
LOWER = 5 - (1.5 * 12) = 5 - 18 = - 13
UPPER = 17 + (1.5 * 12) = 17 + 18= 35
Find the simplified product
9514 1404 393
Answer:
(b) -30x²√(2x)
Step-by-step explanation:
Squares can be removed from under the radical.
Answer:
The answer is b on edg
Step-by-step explanation:
Just took the assignment
Find the volume of the following rectangular pyramid.
10 cm
7 cm
4 cm
Answer:
option third : 93.33 cubic. cm
Step-by-step explanation:
Volume of rectangular prism :-
Given :- length = 7cm, width = 4cm, height = 10cm
[tex]v = \frac{l \times w \times h}{3} \\ = \frac{280}{3} \\ = 93.333[/tex]
A cellphone tower casts a shadow 30 feet
long at the same time that a man 6 feet tall
cast a shadow of 2.4 feet. How tall is the
cellphone tower?
Answer:
75ft
Step-by-step explanation:
if the shadow of a 6ft = 2.4ft
then the shadow of x=(30/2.4)×6=75
4x + 3y =18
x-3y = 7
Answer:
x=8,y=-2/3
Step-by-step explanation:
make x the subject of formula
x=7+3y
substitute into the first equation
4(7+3y)+3y=18
28+12y+3y=18
28+15y=18
15y=18-28
15y=-10
y=-10/15=-2/3
since y=-2/3, substitute y into x=7+3y
x=7+3(-2/3)
x=7-2
x=5
Plz help me this is urgent!!
What is the area of the triangle below?
O 27 square units
O 45 square units
O 54 square units
O 90 square units
Your answer should be 27 square units
Answer: 54
Step-by-step explanation:
x/2 = 3 1/3 can you give me A step by step explanation
Joey's sock drawer is unorganized and contains 7 black dress socks, 3 black ankle socks, 2 brown dress socks, and 4 brown ankle socks. What is the
probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock
Answer:
%37.5
Step-by-step explanation:
Which of the following expressions has the greatest value?
Answer:
2^5
Step-by-step explanation:
1^10 = 1 (1*1*1*1*1....)
5^2 = 25 (5*5)
2^5 = 32 (2*2*2*2*2)
3^3 = 27 (3*3*3)
40 POINTS!!!!! Find the value of x in the triangle shown below.
Answer:
a
Step-by-step explanation:
hich of the following can be used to find how many milliliters are in 0.43 L?
Answer:
430ml
Step-by-step explanation:
there are 1000ml in 1L so take 0.43 times with 1000 to find the answer
please help I don't know how to do
Answer:
9y+7=2y+98
5y=91
y=91\5
The graph shows two lines, A and B.
A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3 x plus 15. Line B has equation one half x plus 2.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
1. (4, 4) is the solution to line A but not to line B.
2. (4, 4) is the solution to both lines A and B.
3. (5, 1) is the solution to line B but not to line A.
4. (0, 2) is the solution to both lines A and B.
Answer:
statement 1 is the only correct one
Step-by-step explanation:
Help pretty please !Describe the sequence of transformations that maps Figure A to Figure B.
Answer:
A, Reflection across the y-axis and translation 3 units down
Answer:
A reflection across the y-axis and translation 3 units down
Step-by-step explanation:
ORDENAR DE MAYOR A MENOR
a) -1, 3, 0, 2, -4 : b) 1, -10, 7, -9, -2 : c) 6, -3, 2, -1, -12 : d) 0, 8, -4, 2, -2
porfa
Answer:
a) 3, 2, 0, -1
b) 7, 1, -9, -10
c) 6, 2, -1, -3, -12
d) 8, 2, 0, -2, -4
what shap can you make with these
Answer:
c
Step-by-step explanation:
the three sides flip up and you get the shape of three triangles faced up on a triangle, as in c
Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?
Answer:
54
Step-by-step explanation:
Calculation to determine How many problems on the final exam did Cameron get wrong
Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)
Let plug in the formula
Wrong Numbers of problems=200-(73%*200)
Wrong Numbers of problems=200-146
Wrong Numbers of problems=54 problems
Therefore the problems on the final exam that Cameron get wrong is 54
Answer:
54
Step-by-step explanation:
ok
The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin.
b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and a prime number
Answer:
3/20
1/5
Step-by-step explanation:
Sample space :
10 - faced die :
(1, 2, 3, 4,5, 6, 7,8, 9, 10)
Coin = (H, T)
P(H) = 1/2
Multiple of 3 = 3, 6, 9 = 3
P(Multiple of 3) = 3 / 10
P(H and multiple of 3) = 1/2 * 3/10 = 3 /20
2.)
P(tail) = 1/2
Prime numbers = (2, 3, 5, 7) = 4
P(A prime number) = 4 / 10
P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5
Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about $50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the appropriateness of the overweight fees. English Air charges different amounts for overweight items on flights to the U.S. and Canada than it does on flights within Europe. Recently, a random sample of 256 items checked on English Air flights to the U.S. and Canada contained 37 overweight items, and an independent, random sample of 246 items checked on English Air flights within Europe contained 41 overweight items.
Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2)?
Answer:
The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.
Step-by-step explanation:
Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
To US and Canada:
37 overweight out of 256. So
[tex]p_1 = \frac{37}{256} = 0.1445, s_1 = \sqrt{\frac{0.1445*0.8555}{256}} = 0.022[/tex]
Europe:
41 overweight out of 246. So
[tex]p_2 = \frac{41}{246} = 0.1667, s_2 = \sqrt{\frac{0.1667*0.8333}{246}} = 0.0238[/tex]
Test if there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2):
At the null hypothesis, we test if there is no difference, that is, if the subtraction of the proportions is 0.
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternate hypothesis, we test if there is difference, that is, if the subtraction of the null hypothesis is different of 0.
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = p_1 - p_2 = 0.1445 - 0.1667 = -0.0222[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.022^2 + 0.0238^2} = 0.0324[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0222 - 0}{0.0324}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of the sample proportion differing from 0 by at least 0.0222, which is P(|z| > 0.68), which is 2 multiplied by the p-value of z = -0.68.
Looking at the z-table, z = -0.68 has a p-value of 0.2483
0.2483*2 = 0.4966
The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.
will give brainliest
Answer:
respuesta 0.2
Step-by-step explanation:
espero que te sirvan ( ꈍᴗꈍ)
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation. so far highschoolers helped me understand it more than any teacher could. so in those terms, thank you so much!
Answer:
the closest answer is the last option, so I would say that is the correct one.
Step-by-step explanation:
4.5 x 4.5 x π =
20.25 x π =
63.6172....
What is the third quartile, Q3, of the following distribution? 10,25,18,31,16,27,5,13,32,24,15,21,18,18,24,4,8,11,11,23
can someone help me with this
Answer:
x=112b+13
Step-by-step explanation:
idek
PLZ HELP!!!!!!!!!!!!!!!!
Answer:
B) 119.1
Step-by-step explanation:
First, find your circle area
[tex]A=\pi r^{2} \\A=\pi 7^{2} \\A=153.9[/tex]
Then get the area of the square, we will worry about the tringles on each side in the last step.
l=12
w= 14 (Radius of circle times 2)
A=wl
A=14*12
A=168
Now the triangle
h=14 (Radius of circle times 2)
b=(27 - 12) / 2 = 7.5 ( total length 27 minus 12 divided, by 2 since there's 2 triangles on each side.
[tex]A=h\frac{b}{2} \\A=14\frac{7.5}{2} \\A=52.5[/tex]
Now add 2 triangles, the square and substract the circle
52.5+52.5+168 = 273
273 - 153.9 = 119.1 in^2
What makes a rectangle special?
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
Which answers describe the shape below?
Answer:
That would be E. trapezoid
Step-by-step explanation:
Answer:
E is the answer thank me later