Final answer:
The egg will take approximately 3.35 seconds to reach the ground.
Explanation:
To solve this problem, we can use the equation [tex]y = yo + vot + 0.5at^2[/tex] position, yo is the initial position, vo is the initial velocity, a is the acceleration, and t is the time.
In this case, yo = 90 ft, vo = 0 ft/s, a = -16 [tex]ft/s^2[/tex]y = 0 ft (since the egg reaches the ground). Plugging these values into the equation, we get 0 = 90 + (0)(t) + 0.5(-16)t^2.
Simplifying the equation, we have [tex]0 = 90 - 8t^2[/tex], we get[tex]8t^2 = 90[/tex] both sides by 8, we get [tex]t^2 = 11.25[/tex]e square root of both sides, we find that t ≈ 3.35 seconds.
The player who received the most votes, by percentage, for the Heisman Trophy in a year was Reggie Bush in 2005. Though his trophy was vacated, he received 784 first place votes, 89 second place votes and 11 third place votes. How many total points did he receive that year? First place votes are worth 3 points, second place votes are worth 2 points, and third place votes are worth 1 point.
A) 995
B) 1541
C) 2415
D) 2541
E) 2733
D) 2541
Step-by-step explanation:
The question is on multiplication,where you multiply the votes by the number of points and then add to find the total.
Given that the player got;
784 votes @ 3 points
89 votes @ 2 points
11 votes @1 point
Total number of points will be;
(784*3)+(89*2)+(11*1)=2541 points
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Keywords : player, votes, percentage,trophy,points
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an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.
Answer:
85.44 miles apart
Step-by-step explanation:
According to the question;
The airplane flew 80 miles west and 30 miles northWe are supposed to determine how far apart are the airports.
The shortest distance will be the displacement from the initial point.We are going to use the Pythagoras theorem;a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;That is;
c² = 80² + 30²
= 6400 + 900
= 7300
c = √7300
= 85.44
Thus, the airports are 85.44 miles apart
- the line through (3, 7) and (-1, 4) --
Answer:
[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]
Step-by-step explanation:
We have to get the equation of the straight line through the points (3,7) and (-1,4).
Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by
[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].
So, in our case, the equation of the straight line will be
[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]
⇒ 4(y - 7) = 3(x - 3)
⇒ 4y - 28 = 3x - 9
⇒ 4y = 3x + 19
⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)
A six sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the coin is heads?
Answer:
3/12
Step-by-step explanation:
{1, 2, 3, 4 ,5 ,6}
There are 3 even numbers and the coin would be 1/2.
3/6*1/2=3/12
John is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admission tickets are $70 and the VIP tickets are $105. If she knows he sold a total of 33 tickets and made $2730, how many of each type did she sell?
Answer:
The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12
Step-by-step explanation:
Let
x ----> the number of general admission tickets sold
y ----> the number of VIP tickets sold
we know that
[tex]x+y=33[/tex] ---> equation A
[tex]70x+105y=2,730[/tex] ----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both lines
using a graphing tool
The solution is the point (21,12)
see the attached figure
therefore
The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12
Final answer:
To solve how many general admission and VIP tickets John sold, a system of equations is formed and solved, revealing that John sold 21 general admission tickets and 12 VIP tickets.
Explanation:
John is selling tickets to an event with two different pricing options, general admission tickets at $70 and VIP tickets at $105. He sold a total of 33 tickets resulting in revenue of $2730. To determine how many of each type of ticket he sold, we will use a system of equations.
Let x represent the number of general admission tickets sold and y represent the number of VIP tickets sold. We can then form the following two equations based on the information provided:
x + y = 33 (equation 1: total number of tickets sold)
70x + 105y = 2730 (equation 2: total revenue from ticket sales)
To solve this system, we can use the method of substitution or elimination. Here, we'll use substitution for simplicity. First, solve equation 1 for x:
x = 33 - y
Substitute this expression for x in equation 2:
70(33 - y) + 105y = 2730
Simplify and solve for y:
2310 - 70y + 105y = 2730
35y = 420
y = 12
Since y = 12, substitute y back into equation 1 to find x:
x = 33 - 12 = 21
Therefore, John sold 21 general admission tickets and 12 VIP tickets.
There are 27/9 and I don’t know the answer
Answer:i8lil
Step-by-step explanation:
loo;;o;o;oo;
Answer:
you Go up to who ever teaches you cuz it’s 8 and u should know This
Outcome
A
B
C
D
Probability
.25
.33
.37
.05
What is the probability of either outcome B or D?
a.
.28
c.
.19
b.
.38
d.
.33
Answer b
Answer:
the answer is b
Step-by-step explanation:
Answer:
B. 0.38
Step-by-step explanation:
Can you help me make a Word problem
Answer:hey
Step-by-step explanation:
What is the slope of the line that passes through the points (-3,3) and (1,-5)
The slope of the line that passes through (–3, 3) and (1, –5) is –2
Solution:
Given slope of the line passes through two points (–3, 3) and (1, –5).
Formula for the slope of the line passes through two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex]x_1=-3, x_2=1, y_1=3,y_2=-5[/tex]
Substitute these in the slope formula, we get
⇒ [tex]m=\frac{(-5)-3}{1-(-3)}[/tex]
⇒ [tex]m=\frac{-5-3}{1+3}[/tex]
⇒ [tex]m=\frac{-8}{4}[/tex]
⇒ [tex]m=-2[/tex]
Hence, the slope of the line that passes through (–3, 3) and (1, –5) is –2.
When x=8 and y=20. Find y when x=68
Answer:
[tex]8(68) + 20[/tex]
[tex]8 \times 68 + 20[/tex]
[tex]544 + 20[/tex]
[tex]x = 564[/tex]
Answer:
170
Step-by-step explanation:
8/20=x/y
simplify. 2/5
2/5=68/y
68*5/2=y
68*5=340
340/2=170
y=170
w+2/3=2 5/6 what is w
Answer:
13/6
Step-by-step explanation:
2 5/6=17/6
w+2/3=17/6
w=17/6-2/3
w=17/6-4/6
w=13/6
sharon is planning a cookout for 42 people. each guest will get 1 veggie burger. sharona will put one slice of cheese on half of the burgers. cheese slices come in packs of 8. write and solve an equation to find the number of packs of cheese, p, that sharon needs to buy.
Answer:
3
Step-by-step explanation:
42 divided by 2 equals 21
21 divided by 8 equals 2.625
therefore, sharon must buy 3 packets of cheese.
Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a ferry to spend the night. The next day, she has 12 hours of daylight to complete the remaining distance. What inequality represents the minimum rate she has to swim on the second day to complete the distance? the inequality is 9 +
The inequality 12x+9 ≥ 21 represents the minimum rate Chanita have to swim on second day to complete the distance.
Step-by-step explanation:
Given,
Length of English Channel = 21 miles
Distance covered on first day = 9 miles
Time to complete remaining distance on second day = 12 hours
Let,
x be the distance covered per hour on second day.
Time to cover distance * Distance covered per hour + Distance on first day ≥ Total distance
12x+9 ≥ 21
The inequality 12x+9 ≥ 21 represents the minimum rate Chanita have to swim on second day to complete the distance.
Keywords: addition, inequality
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Answer:
The answer is in the picture below. :)
Step-by-step explanation:
Can someone please help me?
Answer:
15.5 seconds.
Step-by-step explanation:
From the time the driver activated the brakes until he stopped, he travelled 76 - 14 = 62 meters.
During this time the car slowed down from 8 m/s to 0 m/s.
Assuming the deceleration was constant during this time we can apply one of the equations of motion for constant acceleration:
s = (u + v)t / 2 where u = initial velocity, v = final velocity, s = distance and t = the time, so:-
62 = (8 + 0)t/ 2
62 = 8t/2
4t = 62
t = 15.5 seconds.
Subtract the fraction 7/8-1/4 Write the difference in simplest form A:3/8 B:5/8 C:7/8 or D:11/8
Answer:
5/8
Step-by-step explanation:
First, you need to find a common denominator. In this case, the common denominator is 8. To change the second fraction into a fraction that you can easily subtract, you have to multiply the second fraction by 2/2 (which simplifies to one, so you're not changing the value of the fraction at all). Now, the equation reads, 7/8 - 2/8. From here, you just need to subtract the numerators, which ends up being 5/8.
Answer:
B. 5/8
Step-by-step explanation:
Between 7/8 and 1/4, the common denominator is 2. By multiplying 1/4 by 2, you'll get 5/8 after subtracting 2/8 from 7/8.
How do I simplify (5i) square
Answer:
see attached picture please
Help me on my midterm.!
Last Option: "The division property is used to create step 4" is the correct answer
Step-by-step explanation:
Given equation is:
[tex]6(3x-4)-26 = 40[/tex]
Step 1: Distributive property
[tex]18x-24-26 = 40\\[/tex]
Step 2: Simplifying
[tex]18x-50 = 40[/tex]
Step 3: Addition Property of Equality
[tex]18x-50+50 = 40+50\\18x = 90[/tex]
Step 4: Division Property of Equality
[tex]\frac{18x}{18} = \frac{90}{18}\\x = 5[/tex]
Hence,
Last Option: "The division property is used to create step 4" is the correct answer
Keywords: Linear equation, variables
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There are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. What is the tire’s weight in pounds?
Answer:
The tire's weight in 1.146 pounds.
Step-by-step explanation:
Given:
There are 453.592 grams in one pound.
A semi-slick, Kevlar tire weighs about 520 grams.
Now, to find the tire's weight in pounds.
As, given 1 pound is 453.592 grams.
The weight of tire = 520 grams.
So, to get the tire's weight in pounds by using conversion factor:
1 pound = 453.592 grams.
Thus, 520 grams is:
[tex]\frac{520}{453.592}[/tex]
[tex]=1.146\ pounds.[/tex]
Therefore, the tire's weight in 1.146 pounds.
The best answers gets the branliest and 20 points
Answer:
b and c
Step-by-step explanation:
What is the answer to 20g + 24h?
Answer: 64g
Step-by-step explanation: added 20 by 20 and then add the 4.
Answer:it stays the same
Step-by-step explanation: because if it different letters it can’t combine
Julie spend $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more that Micah. How much money does each person spend?
Answer:
Julie Spends $5.62, Micah spends $28.10 and Jeremy Spends $34.82
Step-by-step explanation:
If Micah spends 5 times as much as Julie, that is $28.10 because 5.62 x 28.10 = 28.10. If Jeremy spends 6.72 more than Micah, you would do 28.10 + 6.72, which is 34.82
I think I did the math correct but I may be wrong
Answer:
reeeeee
Step-by-step explanation:
ererrrrrrrrrrrrrrrr
Divide 20/100
To find two equivalent fractions
Two equivalent fractions for 20/100 are 1/5 and 2/10. These are found by simplifying the fraction 20/100 by dividing by 20 and 10, respectively. Setting up proportions in different contexts often uses the principle that multiplication and division are related through reciprocals.
Explanation:To find two equivalent fractions for 20/100, we can simplify the fraction by dividing the numerator and the denominator by the same number. Since both 20 and 100 are divisible by 20, we can divide them both by 20 to get the first equivalent fraction, which is 1/5. To find a second equivalent fraction, we might choose another common divisor, like 10, which gives us 2/10 as another equivalent fraction to 20/100.
Converting percents to fractions involves writing the percentage as a fraction with a denominator of 100 and then simplifying. For instance, 20% would become 20/100 which simplifies to 1/5. To set up a proportion in other contexts, you could follow examples like setting scales in drawings or units in ratios equal to one another, and in doing so, you're often utilizing the concept that multiplication and division are related through the use of reciprocals.
Can you Solve 4x = -60
Answer:
X = -15
Step-by-step explanation:
Divide -60 by 4
Solve the systems of equations using the substitution method.
5y-6=x
Y=-x
Answer:
x=-1, y=1. (-1, 1).
Step-by-step explanation:
5y-6=x
y=-x
-----------
5(-x)-6=x
-5x-6=x
-5x-x=6
-6x=6
x=6/-6
x=-1
y=-(-1)=1
What is the distance ?
Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²
= √(7 - (-3))² + (-1 - 5)²
= √10² + -6²
= √100 + 36
= √136
≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).
Best of Luck!
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = x^−3.141
A.) This is not an exponential function because the variable is in the base position.
B.) The base is x.
C.) This is a polynomial.
D.) The base is −3.141.
Answer:
A.
Step-by-step explanation:
The variable x is in the base position so it is not exponential..
An exponential function is where the exponent is the variable , like for example 2^x.
The function f(x) = x^-3.141 is not an exponential function because in an exponential function, the base must be constant, and here x is the exponent, not the base.
Explanation:The function f(x) = x−3.141 is not an exponential function. In an exponential function, the base is a constant and the exponent is the variable. Since the variable x is in the exponent here and the base is not a constant, we do not have an exponential function according to the definition.
Therefore, the correct answer is A: This is not an exponential function because the variable is in the base position and not in the exponent where we typically find the variable in exponential functions.
PLEASE HELP!
The function f(x) = Three-fourths(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?
(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
(2, negative StartFraction 3 Over 400 StartFraction)
(3, –750)
Answer:
The actual answer is C) 2, -3/400
Step-by-step explanation:
I hope this can help, I checked for the answer after the quiz.
A gardener makes a new circular flower bed. The bed is fourteen feet in diameter. Calculate the circumference and the area of the circular flower bed.
A. circumference= 14pi feet, area = 196pi square feet
B.circumference = 14
feet, area = 14pi
square feet
C.circumference = 14pi
feet, area = 49pi
square feet
D.circumference = 7pi feet,area= 49pi square feet
The circumference and the area of the circular flower bed is 14π feet
Circumference of a circleThe formula for calculating the circumference of a circle is expressed as:
C = 2πr
Given the following parameeters
diamter = 14ft
radius = 14/2 = 7ft
Susbtitute
C = 2π(7)
C = 14π feet
A = π(7)^2
A = 49 π square feet
Hence the circumference and the area of the circular flower bed is 14π feet
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What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
Answer:
x is greater than StartFraction 1 Over 6 EndFraction.
Step-by-step explanation:
–2(8x – 4) < 2x + 5
⇌ –16x + 8 < 2x + 5
⇌ 3 < 18x
⇌ 1/6 < x
⇌ x > 1/6
Answer:
A
Step-by-step explanation:
HELP!! If over A few weeks Carla saw 15 mayflies how many flying insects did she see
Step-by-step explanation:
Given expression
Number of insect Number of mayflies
x [tex]\frac{3}{14}x[/tex]
According to problem
[tex]\frac{3}{14}x[/tex][tex]=15[/tex]
⇔[tex]x = \frac{15 \times 14}{3}[/tex]
⇔[tex]x = 70[/tex]
Number of insect = 70