The true speed and direction of the football thrown by the quarterback is 39.139 mph and 7⁰ respectively.
How to find the Relative velocity of the football?The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
Vr/w is the velocity of the football with respect to the wind
Vb is the velocity of the football
Vw is the velocity of the wind
Vr/w = 42 mph - 13 mph = 29 mph
The direction speed can be determined by a triangle
Direction of the speed, θ = (360 - 345) - (180 - 172)
θ = 15 - 8 = 7⁰
Resultant speed;
[tex]R^2 = 42^2 + 13^2 - 2(42 \times 13 \times cos7)\\\\R^2 =849.139\\R = \sqrt{849.139}\\R = 29.139 mph[/tex]
Thus, the true speed and direction of the football thrown by the quarterback is 39.139 mph and 7⁰ respectively.
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Answer:
29.140 ; 175
Step-by-step explanation:
C Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5
people Group 3 has 8 people. Which of the groups, if any, can safely rent a boat?
What is the maximum number of people that may rent a boat? Justify your answers
Answer:
group 69
Step-by-step explanation:
John Krasinski is Mr. Fantastic in Multiverse of Madness
!!!1HELPP!!PLS HELP ITS DUE TONIGHT!! Two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.
Create an organized list showing all the possible outcomes after both spinners are spun. Use R to represent red, G to represent green, W to represent white, and B to represent blue. Explain how to find the total number of outcomes from the list.
Find the probability of landing on white then blue.
Compare the probability found in Part B to the probability of landing on white and blue in either order. Explain why they different.
If a third spinner is introduced, would the probability of landing on blue, white, and green in any order still have the same relationship with the probability of landing on the same color set in a specific order? Justify
What is 80 percent of 160?
Step-by-step explanation:
[tex] = \frac{80}{100} \times 160 \\ [/tex]
[tex] = \frac{12800}{100} [/tex]
= 128
Construct the linear equation for the table.
Answer:
Step-by-step explanation:
1. Find the slope: -1
2. Y = -x +b
3. Plug in a point
4. B is 1
5. The equation is Y=-1x+1
Can someone help me urgent.
Answer:
x = 20
Step-by-step explanation:
Angle x and the 90 degree angle and 70 form a straight line so they add to 180
x+90+70 = 180
Combine like terms
x + 160 = 180
x = 180-160
x = 20
Add 7 and 14. Subtract 1.5 from the sum.
16 4
Add 7 and 14 and then multiply the result by 4.
5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.
1.7 x 2
Multiply the difference of 1½ and 3 by 2.
(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.
(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.
Add 7 and 14. Subtract 1.5 from the sum.
16 4
Add 7 and 14 and then multiply the result by 4.
5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.
1.7 x 2
Multiply the difference of 1½ and 3 by 2.
(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.
(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.
if the slope is 10.5 what would be the per hour
Answer:
Uh the slope
Step-by-step explanation:
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a professor is examining a new strain of bacteria. the amount of bacteria can be modeled by function s(n) = 20 · bn, where n is the number of hours and b is an unknown positive base. based on the model, there were initially bacteria. if b = 1.85, the hourly percent growth rate of the bacteria would be %.
The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.
How to determine the hourly percent growth rate?The value of b is given as:
b = 1.85%
Let the hourly percent growth rate of the bacteria be r.
So, we have:
b = 1 + r
Substitute b = 1.85%
1.85 = 1 + r
Subtract 1 from both sides
r = 0.85
Express as percentage
r = 85%
Hence, the hourly percent growth rate of the bacteria would be 85%.
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Answer:
20 and 85%
Step-by-step explanation:
Find the mean absolute deviation for each set of data. Round to the nearest Tenths.
5.2, 4.8, 5.5
4.7, 5.3, 4.9
Answer:
5.2 , 4.8 , 5.5 is 0.2
4.7 , 5,3 , 4.9 is 0.7
Does anyone know how to solve this! (30 points)
Answer:
Step-by-step explanation:
-16[tex]t^{2}[/tex] +50t + 3
they ask what is the height after exactly 3 seconds, so plug in the 3 for t
t(3) = -16*[tex]3^{2}[/tex] + 50*3 +3
t(3) = -144 +150 +3
t(3) = 9 feet, ( the ball has gone up and come back down most of the way )
what is 2^2 simplified
[tex]\Large\textsc{Answer\::}[/tex]
4
[tex]\Large\textsc{Calculations :}[/tex]
2² simplified means 2 times 2 (2 times itself) so
2² = 4
2×2=4
2²=4
Now , it doesn't make any difference with a number like 2 .
Suppose we had 3 :
3² = 9
3² is not the same as 3 ×2 , and here's the reason for that :
3²=3×3=9
3 × 2 = 6
[tex]\footnotesize\textsf{hope helpful ~}[/tex]
Kendrick was given the equations 4x+2y=14 and 3x-y=23. He decided to solve the system of equations by substitution. Each step is shown.
Step 1: 4x+2y=14
Step 2: 2y=14-4x
Step 3: y=7-2x
Step 4: 3x-7-2x=23
Step 5: x-7=23
Step 6: x=30
In which step did Kendrick make an error? Explain.
The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Kendrick was given the equations:
Step 1: 4x+2y=14 ...(1)
3x-y=23 ...(2)
From the equation first:
Step 2: 2y = 14 - 4x
Step 3: y = 7 - 2x put this value in the second equation
Step 4: 3x - (7 - 2x) = 23
Step 5: 3x -7 +2x = 23
Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1
Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
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In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.
Answer:
25/6
I don't really know how I got it, sorry I can't help with that
Find each angle or arc measure.
Since opposite angles of a cyclic quadrilateral are supplementary,
A= 180-101=79°
B= 180-68=112°
Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.
Answer:
30/40
Step-by-step explanation:
like what the other guy said
The correct answer is 46.67%
What is profit percentage?It is the amount of profit that has been incurred in terms of percentage.
How to solve this problem?The problem can be solved by following steps
So, According to the question
The cost price of the wardrobe given is £30
The Selling price of the wardrobe given is £44.
We need to find profit percentage
We have to use formula.
Profit percentage = [tex]\frac{ Selling price - cost price}{costprice}[/tex] × 100
=[tex]\frac{ 44 - 30}{30}[/tex] x100
= [tex]\frac{14}{30}[/tex] x 100
= 14.67%
Hence, Jim's got profit percentage is 46.67%.
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= 46.6667% ≈ 47%
divide out the following
-2x^2-3/x^2-2x
Step-by-step explanation:
= -2 + ( -4X-3/x²-2x)
= -2+ -4x-3/x²-2x
Write 60/105 in its simplest form.
Answer:ok
Step-by-step explanation:4/7
Here are three intersecting lines.
Write an equation that represents a relationship between these angles.
Answer:
Simplify the expression using the distributive property.
6(x +7)
Group of answer choices
6x + 42
6x + 7
x + 42
Step-by-step explanation:
Use this chart to answer the following questions.
QUARTER
DIVIDEND DIVIDEND FOR 55 SHARES
1 $.50/share 27.50
2 $.35/share 19.25
3 $.62/share
4 $.50/share 27.50
Total Dividends for 1 Year
How much would an investor with 55 shares of this stock have earned in dividends in one year?
$108.35
$106.75
$107.85
$109.05
The amount that an investor with 55 shares of this stock have earned in dividends will make in one year is A. $108.35.
How to calculate the dividend?It should be noted that the dividend for the year will simply be calculated by adding the dividend in each quarter.
Therefore, the amount that an investor with 55 shares of this stock have earned in dividends will make in one year will be:
= $27.50 + $19.25 + $34.10 + $27.50
= $108.35
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The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry. A. 3.7% B. 11.1% C. 16.7% D. 8.3%
Answer:
D I'm sure that's is answer thank you
Which of the following is an irrational number?
AOS because it cannot be rewritten as an integer
B. 0.98 35 , because
iS a repeating decimal
0. C.T 0, because it has no value
D.O /84, because it cannot be expressed as either a terminating or repeating decimal
Answer:
D
Step-by-step explanation:
This is an irrational number as it does not repeat and has an infinite number of combinations (as like pi)
State all integer values of x in the interval (-3, 3] that satisfy the following
inequality:
-3x + 4 > 9
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.
We have given
-3x+4 > 9
Required values of x.
State the values of x within -3 and 3.
subtract 4 from both sides,
-3x+4-4>9-4
What is the meaning of like terms?like terms are terms that have the same variables and powers. The coefficients do not need to match.
Collect Like Terms
-3x > 5
(-3x)(-1) < 5(-1)
3x < -5
Divide both sides by 3
3x/3 < -5/3
x < -5/3
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.
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Evaluate cos-1(0.4283). Round to 1 decimal place.
Answer
0.4283
Step-by-step explanation:
Multiply
0.4283
by
1
.
Aft
10 ft
3 ft
2 ft
6 ft
Surface Area =
Surfa
I need the surface area
Answer:
Step-by-step explanation:
Front and back
Givens
base = 6 feet
height = 2
Formula
Area = 1/2 B * h
Area = 1/2 * 6 * 2
Area = (2) 1/2 * 12
Area = 12 square feet for both front and back
Base
The base is a rectangle. A rectangle has the formula of Area = L*w
Givens
L = 10 feet
W = 6 feet
Area = 10 * 6 = 60
Left roof
The left roof is also a rectangle. Area = L*w
Givens
L = 10 feet
W = 3 feet
Area = 3 * 10 = 30 feet^2
Right Roof
The right roof is a rectangle. Area = L*w
Givens
L = 10 feet
w = 4 feet
Area = 4 * 10 = 40 ft^2
Total area
Total Area = right roof + left roof + Base + front and back
Total Area = 40 + 30 + 60 + 12
Total Area = 142 feet ^2
What is the amplitude of the function graphed below?
Answer:
2 For the most part this is all I have at the moment hope this helps
Step-by-step explanation:
Find the value of X round to the nearest degree
Check the picture below.
Make sure your calculator is in Degree mode.
14) Which factored form is equivalent to the expression x2 + xy – 2y – 2x?
A) (x + 2)(x + y)
B) (x - 2)(x + y)
C) (x+2)(x-y)
D) (x-2)(x-y)
Answer:
B
x(x+y)-2(x+y)
x2+xy-2x-2y
(-2y-2x=-2x-2y because of distributive property)
These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ and it is not D
A. T Cells
B. Phagocytes
C. Antibodies
D. Lymphocytes
Answer:
c. antibodies
Step-by-step explanation:
Antibody Functions
Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.
An observer 160 meters away sees a rocket launch into the
air. The rocket reaches its maximum height when the ob-
server is looking at an angle of 75° relative to the ground.
What is the approximate maximum height of the rocket's
path, in meters?
Not Answer:
8
Step-by-step Non-explanation:
The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4. So the rocket will reach its maximum height after 4 seconds.
The approximate maximum height of the rocket's path is 597.13 meters.
How to elaborate the problem ?
Observer sees the rocket 160 meter away from the place where rocket launched.
75° is the angle between observer and rocket, when the rocket reaches its maximum height.
Here, if we assume a triangle whose base = distance between rocket launch point and the observer.
Height = Maximum height of the rocket
How to calculate the maximum height of the rocket ?Here, Base = 160 meter & let, maximum height = h
tan 75° = [tex]\frac{height}{base}[/tex]
⇒ tan 75° = [tex]\frac{h}{160}[/tex]
⇒ h = 160 tan 75°
⇒ h = 597.13 (approx)
The maximum height of the rocket is 597.13 meters (approx).
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please help, much appreciated!!!!(✿◠‿◠)
Step-by-step explanation:
5 people.
how many ways can they line up in general ?
5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :
5×4×3×2×1 = 5! = 120 ways.
but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.
and none of the boys should ever be at one of the ends.
so, we actually have only
2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.
in total
2×1×3×2×1 = 12
under these constrictions they have actually only 12 different ways to line up.