A basketball player shoots the ball with an initial velocity of 15.8 ft./sec. at an angle of 43.8° with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball.
A) 4.4 ft./sec.
B) 10.9 ft./sec.
C) 11.4 ft./sec.
D) 15.2 ft./sec.
Answers
The initial horizontal component of the vector which represents the velocity of the ball is; Choice C; 11.4 ft./sec.
What is the horizontal component of the ball's velocity?It follows from the task content that the velocity vector of the ball has magnitude 15.8 ft./sec. and is at an angle of 43.8° with the horizontal.
On this note, it follows from vector resolution that the horizontal component of the ball's velocity is;
V(x) = V cos 43.8⁰
V(x) = 11.4 ft./sec.
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Related Questions
need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight. ( Both Parts )
Answers
Answer:
433.5 cm^3
Step-by-step explanation:
The volume of a cylinder is its base area times height. Therefore it can be said that:
V = 23π x 6
This is 433.539786195, which when rounded to the nearest tenth is 433.5.
(20 points) Enter the y coordinate of the solution to this system of equations.
6x + y = 8
x − 2y = 10
Answers
Answer:
y=-4
Step-by-step explanation:
graph each equation or solve by elimination/subtitution. Easiest way is using Desmos graphing calculator
Jim anderson has a $150,000 whole life policy. what will the cash value of his policy be at the following anniversary dates? (use a thousands comma where applicable.) anniversary date cash value 15 year $ 25 year $
Answers
The cash value of Jim's policy at 15 years and 25 years are equal to $9,000 and $51,000 respectively.
How to calculate the cash value of Jim's policy?From the table shown in the image attached below, we can deduce that the cash value per unit for 15 years is given as:
15 years = $160.00 per unit.
Next, we would divide the face value of the policy by 1000:
Number of units = 150,000/1000
Number of units = 150.
Now, we can determine the cash value:
Cash value = 150 × 160
Cash value = $9,000.
The cash value per unit for 25 years is given as:
25 years = $340.00 per unit.
Next, we would divide the face value of the policy by 1000:
Number of units = 150,000/1000
Number of units = 150.
Now, we can determine the cash value:
Cash value = 150 × 340
Cash value = $51,000.
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Answer:
15 years = 24,000.00
25 years = 51,000.00
Step-by-step explanation:
Hey, I'll explain how you solve these.
Since the value is 150,000, this has to be divided by 1,000.
That gives us 150.
Now you multiply 150 by the 15 yr cash value, which is 160.
This results in 24,000.00.
Since you have 150, you next need to multiply that by the 25 yr cash value, 340.
That gives us 51,000.00.
Hope it helps. Feel free to mark Brainliest.
Ayudenme porfavor en esta tarea
Answers
This task simply requires the completion of the table using simple mathematical functions on the header of each column.
What are mathematical functions?This refers to a collection of mathematical rules using mathematical operators that contain dependent and independent variables.
In this case, the rule of BODMAS comes to bear. See the full and completed table attached.
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Answer answer please please
Answers
Answer: Its A i think, if not its C
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
8.2 x 10'4 = 82,000
10'4 = 10,000 x 8.2 = 82,00
4.5 x 10'5 =
10'5 = 100,000 x 4.5 = 450,000
(Over all, the second equation is greater giving you answer B. as the missing equation symbol)
Hope this helps!!
What is the rate of change for a linear function containing the points 2,12 and 6,6?
Answers
Answer:
- [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
the slope m between the 2 points is a measure of the rate of change
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 12 ) and (x₂, y₂ ) = (6, 6 )
m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex] ← rate of change
What’s the median of the data on the dot plot? HELP ITS DUE IN ONE HOUR
Answers
Answer:
It is 1.5
Step-by-step explanation:
{0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 11}
the middle two are 1 and 2.
the mean of 1 & 2 is 1.5 now you have the median!
Which rays form the 65 angel in this figure ?
Answers
Answer:
BD and BC
Step-by-step explanation:
A triangle has a scale factor of 3. one of the coordinates is (9,6), what would another coordinate be?
Answers
Answer:
(12, 9)
Step-by-step explanation:
A colony of 10,710 bacteria doubles in size every 129 minutes. What will the population b
516 minutes from now?
Answers
The population after 516 minutes is 171360 bacteria
How to determine the population after 516 minutesFrom the question, we have the following parameters that can be used in our computation:
Initial, a = 10,710 bacteria
Rate = doubles i.e. 2
Using the above as a guide, we have the following:
f(x) = a(2)^x
Where x is the time
516 minutes is 4 times 129 minutes
This means that
x = 516/129 = 4
So the population after 516 minutes can be calculated as follows:
f(4) = 10710 * (2)^4
Evaluate
f(4) = 171360
Hence, the population is 171360
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You can draw 2 cards from a deck of 52. Each card is numbered 1 number from the set {4,4,2,2,1,1,1,3}. What is the conditional probability that you will draw 1 first and 4 second?
Answers
Answer:
Step-by-step explanation:
Are the outcomes on the two cards independent? Why?
Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card. No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.
need help asap, thanks!!!ヾ(⌐■_■)ノ♪
Answers
Step-by-step explanation:
the probability of making one shot is 75% or 0.75 or 3/4.
the probability to make 2 shots is then
3/4 × 3/4 = 9/16 = 0.5625
and so on.
the probability to miss 1 shot is then 25% or 0.25 or 1/4.
the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.
or the probability to miss 0 plus the probability to miss 1 shot.
anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.
the probability to make all 5 shots is
(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...
the probability to e.g make the first 4 shots and miss the 5th is
(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...
how many possibilities do we have to make 4 out of 5 shots ?
there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :
C(5,4) = 5! / (4! × (5-4)!) = 5
so, the probability to make exactly 4 out 5 shots is
81/1024 × 5 = 405/1024 = 0.395507813...
and the total probability to make at least 4 shots is
243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125
to control,
this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).
making 3 :
(3/4)³×(1/4)² = 3³/4⁵ = 27/1024
C(5,3) = 5×2 = 10
270/1024
making 2 :
3²/4⁵ = 9/1024
C(5,2) = 5×2 = 10
90/1024
making 1 :
3/1024
C(5,1) = 5
15/1024
making 0 :
1/1024
in sum
(270+90+15+1)/1024 = 376/1024
plus the 648/1024 = 1024/1024 = 1
correct.
How much gift paper is required to at least fully cover a
cubical box of edge length 50 in?
SA = 682
At least
cover a cubical box with an edge length of 50 in.
of gift paper needed to
a
Please help !
Answers
Answer:
Step-by-step explanation:
Discussion
Where does that 682 come from? It cannot be the surface area of a cube with a side of 50 inches.
The edge length is 50 inches, so s = 50
SA = 6 * 50^2
SA = 15000 in^2
Answer: So at the very minimum, you need 15000 square inches of wrapping paper.
10. The pressure of the water P at any point below the surface of the sea varies as the depth of the point below the surface d. If the pressure is 200 newtons/cm2 at a depth of 3 m, calculate the pressure at a depth of 5 m.
Answers
The pressure at the depth of 5 meters will be 333.34 N / cm ²
What is pressure?Pressure is defined as the normal force acting at the per unit area of any object.
Given that:-
If the pressure is 200 newtons/cm2 at a depth of 3 m, calculate the pressure at a depth of 5 m.The pressure at the 5 m below sea level will be:-
3 m = 200
1 m = 200 / 3
5 m = 200/3 x 5
5m = 333.34 N / cm²
Therefore the pressure at the depth of 5 meters will be 333.34 N / cm ²
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Jaxon's room is 4 meters long. how many millimeter long is jaxon's room?
Answers
Answer:
4,000 millimeters
"Milli-" means "thousand" in terms of Latin roots. That indicates we should multiply by 1,000.
4 × 1,000 = 4,000
Find the area of the triangle. MY GRADE PLEASE HELP!
Answers
Answer:
B:21
Step-by-step explanation:
Area of parallelogram=315=base ×hight .
base =x
hight= 15
15 × x = 315
x= 315/15
=21
A triangle has all sides equal. Its perimeter is 24 cm. How long is each side?
Answers
Answer:
6x4=24
Step-by-step explanation:24divided by 4 is 6
Answer answer questions please
Answers
Answer: 2 1/4
Step-by-step explanation: theirs 2 whole so with that theirs another circle cut in 4th's and 1 is shaded so 1/4.
Answer: choice c , 2 and 1 over 4
Step-by-step explanation: as the first 2 circles are fully shared but only one 1 over 4 from the third circle is shaded so 2 and 1 over 4 as a mixed numbers . Which means 2 full circles and 1 over 4 of the third circle . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Let f(x) = -x -5 and g(x)= 2x +3. f(-4) + g(-6)
Answers
Answer:
-10
Step-by-step explanation:
f(-4)=-(-4)-5
f(-4)=-1
g(-6)=2(-6)+3
-12+3
g(-6)=-9
add together:
-1+-9
=-10
Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6. Replace “a number” with the variable, n. The two operations are multiplication and addition. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6). The expression is written as 2 × 6 – n.
Answers
The algebraic expression for twice difference of a number (n) and 6 is expressed algebraically as, 2(n - 6).
What is an Algebraic Expression?An algebraic expression can be used to model word problem or a situation with the use of variables, operation signs and numbers.
Difference is minus (-)
Let n represent the unknown number.
Thus, twice difference of a number (n) and 6 is expressed algebraically as, 2(n - 6).
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Answer:
A,C,D,E is the answer
help asap check picture
Answers
The answer will be option D {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).
What is probability?
The probability is defined as the chances of happening of any random event. or the possibility of happening of any event is called as the probability.
It is given in the question that there are two colours in the spinner and the dice have 6 faces from {1 to 6} numbers on it.
The sample outcomes with the spinner and the dice will be as follows:-
S= {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).
Hence answer will be {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).
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The double number line shows the price of 1 11 cupcake. 0 0 1 1 cupcakes cupcakes 0 0 1.5 1.5 price price (dollars) (dollars) complete the table to show the same information as the double number line.
Answers
Missing image below:
Answer:
Cupcakes Prices
5 $7.50
12 $18
18 $27
Step-by-step explanation:
Given:
The double number line shows the price of 1 cupcake.
To Find:
Complete the table to show the same information as the double number line.
Solve:
Base on the 1st image:
1 cupcake costs $1.5.
Therefore, we can use the rule of three to complete the table.
If 1 cupcake costs $1.5 then 5 cupcakes would be $1.5 × =$7.50
And 18 cupcakes would be $1.5 × 18 =$27.
Then, 18 ÷ 1.5 = 12
As a result, 12 cupcakes costs $18.
Final Table:
Cupcakes Prices
5 $7.50
12 $18
18 $27
Kavinsky
The solution is
The price of 5 cupcakes = $ 7.50
The number of cupcakes for $ 18 = 12 cupcakes
The price of 18 cupcakes = $ 27
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The number line shows the price of one cupcake
The price of 1 cupcake = $ 1.50
So ,
The price of 5 cupcakes = 5 x price of 1 cupcake
Substituting the values in the equation , we get
The price of 5 cupcakes = 5 x 1.50
The price of 5 cupcakes = $ 7.50
And , the number of cupcakes that can be bought for $ 18 is
Number of cupcakes for $ 18 = 18 / price of 1 cupcake
Substituting the values in the equation , we get
Number of cupcakes for $ 18 = 18 / 1.5
Number of cupcakes for $ 18 = 12 cupcakes
And , the price of 18 cupcakes is = 18 x price of 1 cupcake
Substituting the values in the equation , we get
The price of 18 cupcakes = 18 x 1.5
The price of 18 cupcakes = $ 27
Hence , The price of 5 cupcakes = $ 7.50
The number of cupcakes for $ 18 = 12 cupcakes
The price of 18 cupcakes = $ 27
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100pts Find mPQ in the circle to the right
Answers
We need indirectly m<POQ
See NR is a straight line so the three angles situated underneath are linear pair and supplementary
m<POQ
180-(82+63)180-14535°Answer:
C) 35°
Step-by-step explanation:
From inspection of the given diagram, it appears that the line segment NOR is the diameter of the circle (where point O is the center).
Angles on a straight line sum to 180°
⇒ ∠NOP + ∠POQ + ∠QOR = 180°
⇒ 82° + ∠POQ + 63° = 180°
⇒ ∠POQ = 180° - 82° - 63°
⇒ ∠POQ = 35°
As an arc measure equals its corresponding central angle measure:
[tex]\sf \implies \overset{\frown}{PQ}= \angle POQ[/tex]
[tex]\sf \implies \overset{\frown}{PQ}=35^{\circ}[/tex]
Find the mean of the following data: 4, 5, 6, 6, 7, 9, 12.
Answers
Answer:
Mean=7
Step-by-step explanation:
Mean = Sum of numbers = 4 + 5 + 6 + 6 + 7 + 9 + 12 = 49 = 7
Amount of numbers 7 7
HELPPPPP URGENT
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class is an only child?
Answers
Step-by-step explanation:
there were in total 24 students (asked) in the class.
3 have a brother and a sister (and I assume this means "at least one" in either category).
15 have (at least) a brother but no sister.
4 have no brother but (at least) a sister.
2 have no brothers and no sisters (they are "only children").
a probability is always
desired cases / possible cases.
so, when picking a student randomly, we have 24 possibilities.
out of these 24 there are only 2 that are an "only child".
therefore, the probability to pick an "only child" is
2/24 = 1/12 = 0.083333333...
What are the center and radius of the circle with equation x^2 + y^2 - 4x - 6y + 8 = 0?
Answers
Answer:
centre : (2;3)
radius :
[tex] \sqrt{5} [/tex]
Last night at 8pm in Chicago, the temperature was 3 degrees Celsius. By 5am, it had dropped 5 degrees. What was the temperature at 5am?
Answers
Answer:
-2degrees
Step-by-step explanation:
(3 degrees Celsius - 5 degrees Celsius)= -2 degrees Celsius
what is 9 + 10 (The fiwrst persen to andswer getin brainliest
Answers
Answer:
it's 19
Step-by-step explanation:
the answer it's 19
George had $35 he spent $12.67 He washed his fathers car and his father paid him $7.50 how much money,M,George has now
Answers
Step-by-step explanation:
= $35 - $12.67 + $7.50
= $22.33 + $7.50
= $29.83
So now, George has $29.83
PLEASE HELP. THE QUESTION IS AT THE BOTTOM.
Answers
Answer:
a) 3n + 2 and b) multiply by 4 and add 5
Step-by-step explanation:
a) 3 x n = 3n
3n + 2 = 3n + 2
b) You can see that the 4 has an x next to it, indicating that you need to multiply the x by 4. Then it also has "+ 5" so you also need to add 5 to the 4x. Finally, you get 4x + 5.
(x4, +5)
