The maximum height the ball will reach is 7.6 ft.
Maximum height of the projectileThe maximum height attained by the projectile is calculated as follows;
v² = u² - 2gh
where;
v is the final velocity at maximum height = 0u is the initial velocityh is the heightg is acceleration due to gravity0 = u² - 2gh
2gh = u²
[tex]h = \frac{u^2}{2g} \\\\h = \frac{10^2}{2(32.2)} \\\\h = 1.6 \ ft[/tex]
Thus, the maximum height the ball will reach = 1.6 ft + 6ft = 7.6 ft.
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A high school championship football game was attended by 1,580 fans. There were 640 were out-of-state fans at the game. The other fans who attended were local.
Which statement is TRUE when interpreting the ratio of out-of-state fans attending the game to the total number of fans attending? A) 32 out of every 79 fans attending were out-of-state fans B) 47 out of every 79 fans attending were out-of-state fans C) more than 47 out of every 79 fans attending were out-of-state fans D) at least 32 out of every 79 fans attending were out-of-state fans
Answer:
A)
Step-by-step explanation:
total number of fans = 1580out of state fans = 640local fans = total number of fans - out of state fans = 1580 - 640 = 940ratio of out of state fans to total number of fans:
640 : 1580 = 640/1580 = 32/79
So 32 out of every 79 fans were out of state fans
Answer:
A) 32 out of every 79 fans attending were out-of-state fans
Step-by-step explanation:
640 were out-of-state fans : 1,580 fans in the game
32 were out-of-state fans : 79 fans in the game
✔A) 32 out of every 79 fans attending were out-of-state fans
B) 47 out of every 79 fans attending were out-of-state fans
C) more than 47 out of every 79 fans attending were out-of-state fans
D) at least 32 out of every 79 fans attending were out-of-state fans
Scores turned in by an amateur golfer at a golf course during 2017 and 2018 are as follows. 2017 Season 72 76 77 75 73 71 73 75 2018 Season 69 68 73 75 83 78 69 77 (a) Use the mean and standard deviation to evaluate the golfer's performance over the two-year period. Compute the mean and standard deviation for the 2017 season. (Round the standard deviation to two decimal places.) mean 74 sample standard deviation Compute the mean and standard deviation for the 2018 season. (Round the standard deviation to two decimal places.) mean 74 sample standard deviation
The given data are the scores turned in by the amateur golfer, from
which the sample standard deviation can be calculated.
Responses:
The mean and sample standard deviation for the 2017 season are;
Mean = 74Sample standard deviation ≈ 2.07The mean and sample standard deviation for the 2018 season are;
Mean = 74Sample standard deviation ≈ 5.26What are the equations for the mean and sample standard deviation?The mean is given by the formula;
[tex]\overline x= \mathbf{\dfrac{\sum \left x_i }{N}}}[/tex]
N = 8
The mean for the 2017 season is therefore;
[tex]\overline x[/tex] = (72 + 76 + 77 + 75 + 73 + 71 + 73 + 75) ÷ 8 = 74
The sample standard deviation is given by the formula;
[tex]s =\mathbf{\sqrt{\dfrac{\sum \left (x_i-\overline x \right )^{2} }{N -1}}}[/tex]
[tex]\sum \left (x_i- \overline x \right )^2[/tex] = 30
N = 8
The sample standard deviation for 2017 season is therefore;
[tex]\sigma =\sqrt{\dfrac{30}{8-1}} \approx \mathbf{2.07}[/tex]
The mean and sample standard deviation for the 2017 season are;
Mean = 74Sample standard deviation ≈ 2.07The mean for the 2018 season is found as follows;
[tex]\overline x[/tex] = (62 + 68 + 73 + 75 + 83 + 78 + 83 + 78) ÷ 8 = 74
The sample standard deviation is given by the formula;
[tex]s=\mathbf{\sqrt{\dfrac{\sum \left (x_i-\overline x \right )^{2} }{N - 1}}}[/tex]
[tex]\sum \left (x_i- \overline x \right )^2[/tex] = 194
N = 8
The sample standard deviation for 2018 season is therefore;
[tex]Standard \ deviation \ for \ the \ 2018 \ seaon, \sigma =\sqrt{\dfrac{194}{8 - 1}} \approx \mathbf{5.26}[/tex]
The mean and sample standard deviation for the 2018 season are;
Mean = 74Standard deviation ≈ 5.26Learn more about the mean and standard deviation here:
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Evaluate the given expression when x = 16 and y = 11.
x² - 3y + x
The answer is
Answer:
(16)2-3(11)+16
32-33+16
-1+16
=15
A negative number is always less than a positive number do you beliece in that statement? why or why not
Answer:
this is true because a negative towards the LEFT of 0, which would be decreasing, and a positive
Is to the RIGHT of 0 making worth more
and asked, "which is more, 0.1 or -0.1 its always the one to the right of 0"
Look at the figure, rectangle FHJM. Find the m
Answer:
74
Step-by-step explanation:
180-106 =74
Which of the following are negative reciprocals?
A. 3/4 & -4/3
B. 3/4 & -3/4
C. 3/4 & 4/3
D. 3/4 & 3/4
Answer:
option A is the answer because -4/3 is both negative and reciprocal of 3/4
Answer:
A. 3/4 & -4/3
Step-by-step explanation:
Negative reciprocal is the negative of the value and the numerator/denominator is switched to denominator/numerator.
For example, -7/15.
-7 is the numerator because -7 is above 15. But if we switch that, it will become -15/7. If we turn it from negative to positive or positive to negative, which in this case is negative to positive, since negative x negative is positive, it will become 15/7. I really took the time to explain this, so I hope this helps. =D
7. Which of the following is the algebraic
representation for a translation 7 units left and
6 units up?
A. (x + 7, y - 6)
B. (x - 7, y + 6)
C. (x + 6, 7 - 7)
D. (x – 6, Y + 7)
Answer: The answer is B !
Step-by-step explanation:
The x axis is left so negative units will go left!
The y axis is up and down so positive units go up!
I’ve did the question my self and it worked and told me why the answer was correct!
Subscribe to Ishowspeed on yt!
You’re welcome lol
Problem 1: Consider the (nonlinear) differential equation
[tex]y' = \frac{ - y(y + 1)}{x} [/tex]
Without solving the equation, check which of the following are solutions:
[tex]y(x) = {x}^{2} - 1[/tex]
[tex]y(x) = \frac{2}{x - 2} [/tex]
That is: do not use the method of integrating factors to solve. Just check by plugging in.
If y = x² - 1, then y + 1 = x² and y' = 2x. Then in the DE, we would have
2x = - (x² - 1) x² / x ⇒ 2 = - x² + 1
but this only true for some values of x. So the first choice is not correct.
If y = 2/(x - 2), then y + 1 = x/(x - 2) and y' = -2/(x - 2)². In the DE,
-2/(x - 2)² = - (2/(x - 2)) (x/(x - 2)) / x ⇒ -2/(x - 2)² = -2/(x - 2)²
so the second choice is the correct answer.
y = (?) 25°, 30° Please Help
Answer: if you’re asking for the missing angle then it’s 125°
Step-by-step explanation:
triangles always equal 180°
i’m assuming 25° and 30° are the other angle measures so
25° + 30° = 55°
180° - 55° = 125°
so the missing angle is 125°
hope this helps :)
6. - - What is the sum of the measures of the interior angles of a convex polygon with n sides? A (n-2)90 C. (n-2)180 B. (n-2)120 D. (n-2)360 It is the sum of the measures of the interior angles of a heptagon. A 720° C. 1,080° B. 900° D. 1,260° 7
Answer:
a 720
Step-by-step explanation:
because u use pemdas
To be eligible for the senior admission rate, a visitor must be at least 65 years old.
Use y to represent the age (in years) of a visitor who gets the senior rate.
At the airport, each piece of luggage to be checked in must not weigh more than 55 pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
y ≥ 65
w ≤ 55
Step-by-step explanation:
1)To be eligible for the senior admission rate, a visitor must be at least 65 years old. Use y to represent the age (in years) of a visitor who gets the senior rate.
"At atleast 65 years" is the same as being 65 years old or olderIf y is represented by age, the correct equation is y ≥ 652)At the airport, each piece of luggage to be checked in must not weigh more than 55 pounds. Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
"not weigh more than 55 pounds" is the same as having it weigh 55 pounds or lessIf w is presented by the weight, the correct equation is w ≤ 55-Chetan K
Problem Solving
13. Colby has 16 jars of spices. He wants to arrange them in arrays.
What arrays could he use to arrange them?
Dora earns a monthly salary of $3,568 plus 1% commission. Last month, she sold
$12,674 worth of products. What was her gross monthly pay?
Round to the hundredths place, if the answer doesn't have a hundredths place
include a zero so the answer does have a hundredths place. Use a word for the
units not a symbol and be sure to attach supporting math work in order to earn
credit for your answer.
Your Answer:
Units:
units
Answer
well if dora earns a monthly salary of $3,568 and she gives boots $1189 and gives swiper the fox $1189 and keeps $1189 for herself that she can buy starbucks and clothes
Step-by-step explanation:
Answer:
3,694.71 dollars
Step-by-step explanation:
Given the following question:
Dora earns a monthly salary of $3,568...
She also earns a 1% commission...
Last month she sold $12,674 worth of products
To find the answer we have to find 1% of her last month's pay and then add that number to her monthly salary.
1% of $12,674
[tex]\frac{1\times12674}{100} =1\times12674=12674\div100=126.74[/tex]
1% of $12,674 is $126.74
[tex]3568+126.71=3694.71[/tex]
The number is already rounded to the nearest hundredth's place.
[tex]=3694.71[/tex]
So, in total Dora earns "$3,694.71" for last month.
Hope this helps.
A. 10 miles
B. 14 miles
C. 24 miles
D. 28 miles
What is the common ratio for the geometric sequence?
24,−6,32,−38,...
Enter your answer in the box.
HELP!!! Which equation below shows the relationship for the graph?
Find the difference quotient of f
answer:
[tex]3\\[/tex]
explanation:
[tex]\frac{f(x+h)+f(x)}{h}[/tex]
[tex]\hookedrightarrow given.that .f(x) = 3x +h[/tex]
solve:
[tex]\frac{3\left(x+h\right)+5-\left(3x+5\right)}{h}[/tex]
[tex]\frac{3x+3h+5-3x-5}{h}[/tex]
[tex]\frac{3h}{h}[/tex]
[tex]3\\[/tex]
PLZ HELP ILL MARK AS BRAINLIEST
Answer:
1092 cm^2
Step-by-step explanation:
Formula = 2 * Height (Length + Width)
2 * 26 (15 + 6) = 1092
This equation shows how the amount Tommy earns from babysitting depends on the number
of hours he works.
d = 18h
The variable h represents the number of hours spent babysitting, and the variable d
represents the amount of money earned. How many hours is all will it take Tommy to earn a
total of $18?
hours
Submit
d=18h
18=18h
Therefore, he only needs to babysit one hour before he can get 18 dollars
$10,574.40 rounded 2 decimal places
Answer:
$10,574.40
Step-by-step explanation:
$10,574.40 is already rounded to two decimal places. Rounding to two decimal places means rounding to the hundredths place.
^^^^^^^^^^^^^%^^%^^^^^^^^^^^^
Answer:
5 cm
Step-by-step explanation:
Use the Pythagorean Theorem. a and b are legs, so a = 3 and b = 4. c is the hypotenuse.
[tex]a^{2} +b^{2} = c^{2} \\3^{2} + 4^{2} = c^{2} \\9 + 16 = c^{2} \\25 = c^{2} \\\sqrt{25} = \sqrt{c^{2} } \\c = 5[/tex]
p/6 + 5 = 8
Evaluate equation
Answer:
[tex]p=18[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{p}{6} +5=8[/tex]
In order to find the answer, we have to subtract five on both sides and then multiply.
[tex]\frac{p}{6} +5=8[/tex]
[tex]5-5=0[/tex]
[tex]8-5=3[/tex]
[tex]\frac{p}{6} =8[/tex]
[tex]\frac{6p}{6} =p[/tex]
[tex]3\times6=18[/tex]
[tex]p=18[/tex]
Hope this helps.
Which expressions are polynomials?
Select each correct answer.
Answer:
the second and third one
Step-by-step explanation:
please answer this as well
Answer:
85 km
Step-by-step explanation:
to find this answer you must use the pythagorean theorem
this formula is basically a^2 + b^2 = c^2
so square the two sides that you have and thats the answer of the hypotenuse squared
68^2 + 51^2 = c^2
4624 + 2601 = 7225
then you must take 7225 to the square root
that is 85
Anuja looked up how many goals her favorite soccer team has scored in each match over the past few
seasons.
The table below is a probability distribution Anuja created where X represents the number of goals the
team scored in a given match.
х
0
1
2
3
4
P(X) 0.191
0.319 0.287
0.128
0.074
Which graph correctly displays this probability distribution?
Probability distributions can be represented using tables and graphs
How to determine the graphThe probability table is given as:
x 0 1 2 3 4
P(x) -> 0.191 0.319 0.287 0.128 0.074
The above table means that:
P(0) = 0.191
P(1) = 0.319
P(2) = 0.287
P(3) = 0.128
P(4) = 0.074
Next, we check if the table represents a probability distribution using:
[tex]\sum P(x) = 1[/tex]
So, we have:
[tex]\sum P(x) = 0.191 + 0.319 + 0.287 + 0.128 + 0.074[/tex]
[tex]\sum P(x) = 1[/tex]
The graph is not given. So, I will plot the graph
See attachment for the figure that represents the probability distribution
Read more about probability distribution at:
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which statement correctly explains the association of the scatterplot
Answer:
B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.
Step-by-step explanation:
A positive association would be the y - values and the x - values both increases.
I hope this helps!
Triangles ABC and YZX are similar. Use the measurements given in the image below to find the side length of ZX. In your answer, give the side length of ZX and explain how you calculated it. X А 25 Y 40 50 20 Z UD 60 C (100 points if it's correct)
Answer:
ZX = 30 unitsStep-by-step explanation:
Since the triangles are similar, the ratio of corresponding sides are same.
ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:
ZX / 60 = 20/40ZX / 60 = 1/2ZX = 60/2ZX = 30A pail of water that holds 4 gallons (gal) needs to be filled with water from a swimming pool. How many times you will get a water from the pool using the a dipper that can hold 1 pint (pt) of water? (Use the conversion of 1 gal = 8 pt
Answer:
32 pints
Step-by-step explanation:
4 gallons * 8 pints/1 gallon = 32 pints
Mattie Evans drove 200 miles in the same amount of time that it took a turbopropeller plane to travel 950 miles. The speed of the plane was 150 mph faster than th
speed of the car. Find the speed of the plane.
The speed of the plane was mph.
(Simplify your answer.)
Answer:
speed of the plane = 190 mph
Step-by-step explanation:
Let x = speed of the plane, then speed of the car = x - 150
time = 200/(x - 150) = 950/x
Divide by 50 on both sides, get
4/(x - 150) = 19/x
Cross multiply:
4x = 19(x - 150)
4x = 19x - 19*150
15x = 19*150
x = 19*150/15 = 190
41/4 cups equals how many pints
Answer:
20.75 pints
Step-by-step explanation:
Check attachment
Answer: (41/4) US cup =
5.12500 US pints
Step-by-step explanation: