Answer:
The function that describes the height of the ball in time is [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].
Step-by-step explanation:
Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.
Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:
[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]s[/tex] - Initial height with respect to the ground, in feet.
[tex]v[/tex] - Initial velocity, in feet per second.
[tex]t[/tex] - Time, in seconds.
[tex]g[/tex] - Gravitational acceleration, in feet per square second.
If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:
[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)
Jessica had 8 sheets of paper. Water spilled on 2 sheets, so she threw them in the recycle bin. She drew 7 stars on each remaining sheet. How many stars did Jessica draw?
Answer:
42
Step-by-step explanation:
The remaining sheets of paper can be find in this way:
8-2 = 6
for each sheet of paper she drew 7 stars, so the total can be find in this way:
6 x 7 = 42 stars
Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which algebraic representation best describes point U' of triangle S'T'U'?
Answer:
(b, -a)
Step-by-step explanation:
First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)
Note that the coordinates were swapped and the x coordinates negated. Similarly;
Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will be (b, -a)
In a local 8-ball league, players are issued a handicap based on their ability. The handicap is used to adjust scores between players of different ability levels. The better a player is, the lower his or her handicap will be. What type of correlation exists between the skill of a player and his or her handicap?
Answer:
Negative correlation
Step-by-step explanation:
Correlation analysis is used to measure the type and degree of relationship which exists between two or more independent variables. Relationship between variables may be classed as Negative or positive depending on the nature or behavior of one variable relative to the other. Positive relationship exists when an increase on one variable leads to a corresponding increase in the other other variable.
However, in the scenario described above, handicap decreases with player quality that is the better a player is, the lower the handicap ; similarly, a player with higher handicap with have low quality, this is Hence a classic scenario of Negative correlation or relationship.
Write the equation of the line in slope-intercept form
Answer:
y=x
Step-by-step explanation:
m=1 b=0
(1/1) (Rise/run) (0)(y-intercept)
y=1x+0
y=x
Choose all that are like terms with 5x.
10x
-
2.
-7x
3x^2
-6
6x^4
0.5x
Answer:
the correct answer is 6x^4
Please answer correctly! I will mark you as Brainliest!
Answer:
Volume=8
Step-by-step explanation:
[tex]volume[/tex]⇒[tex]\frac{1}{3}[/tex]×[tex](\frac{1}{2}[/tex]×[tex]3[/tex]×[tex]4^{2}[/tex]×[tex]4)[/tex]
⇒[tex]\frac{1}{3}[/tex]×[tex]3[/tex]×[tex]8[/tex]
[tex]Answer:8[/tex]
hope it helps...
have a great day!!!
Tell me the answer please. Give me a short answer and a step-by-step explanation.
PLSSSSSSSSSSSSSSSSS HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPP SOMEEEEEEEEEEEONNNNEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
20 x 5 x 10 = 1,000
4 x 5 x 1 = 20
1,000 divided by 20 = 50
What is the length of the hypotenuse triangle below?
Answer:
A (25)
Step-by-step explanation:
Pythagorean Theorm
[tex]7^{2} +24^{2} =x^{2}[/tex]
Please vote brainliest!!!
draw the line of reflection that reflect quadrilateral ABCD onto quadrilateral A'B'C'D
Answer:
-3 across the x
Step-by-step explanation:
negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.
When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is [tex]y = -3[/tex]
From the given graph, we have the following observations
ABCD was flipped over to form A'B'C'D'The line of reflection is between both shapesUsing points C and C' as reference;
We have:
[tex]C = (-3,-1)[/tex]
[tex]C' = (-3,-5)[/tex]
Notice that both points have the same x-coordinate
This means that the line of reflection is parallel to the x-axis, and it passes through the y-axis.
The point at which it passes through the y-axis is calculated using mid-point formula.
So, we have:
[tex]y = \frac{y_1 + y_2}{2}[/tex]
[tex]y = \frac{-1-5}{2}[/tex]
[tex]y = \frac{-6}{2}[/tex]
[tex]y = -3[/tex]
Hence, the line of reflection is [tex]y = -3[/tex]
See attachment for the line of reflection
Read more about reflections at:
brainly.com/question/17983440
What is the mean of this data: 23, 37, 11, 58, 13, 45
Step-by-step explanation:
Mean= Sumof all the numbers/ number of data
So,
23+37+11+58+13+45=187
Now...
187/6=31.166666667 Answer
hope it helps....
What is the mean of this data: 23, 37, 11, 58, 13, 45.
Solution:-To find the mean of this data, first of all we should add up all the given numbers and then divide by how many numbers there are.
So, [tex] \bf Mean \: = \frac{23 \: + \: 37 \: + \: 11 \: + \: 58 \: + \: 13 \: + \: 45}{6} [/tex]
[tex] \bf Mean \: = \frac{187}{6} [/tex]
[tex] \bf Mean \: = \: 31.17 [/tex]
The mean of this data is 31.17. [Answer]i dont understand this.
Answer: J
Step-by-step explanation:
A coffee blender mixes two types of coffee. Type A costs $13 per kg and type B costs
$18 per kg. How many grams of each type of coffee should be blended so that 1 kg costs $15?
 What is the volume of this cone?
Answer: C
Step-by-step explanation:
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
10
24
Answer:
26
Step-by-step explanation:
Use the Pythagorean Theorem.
c^2 = a^2 + b^2
a = 10
b = 24
c = ?
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
sqrt(c^2) = sqrt(676)
c = 26
Suppose that when your friend was born, your friend's parents deposited $9000 in an account paying 6.9% interest compounded . What will the account balance be after 17 years?
Answer:
the account balance after 17 years is $27,981.02
Step-by-step explanation:
Given that
The deposited amount i.e. $9,000
The Rate of interest is 6.9%
Time period = 17 years
We need to find out the account balance after 17 years
As we know that
Future value = Present value × (1 + rate of interest)^time period
= $9,000 × (1 + 6.9%)^17
= $27,981.02
Hence, the account balance after 17 years is $27,981.02
The equation of a circle is x2 + y2 - 12y + 20 = 0
What are the coordinates of the center and the length of the radius of the circle?
Answer:
Center: (0, 6); radius = 4
Step-by-step explanation:
x^2 + y^2 - 12y + 20 = 0
We must complete the square in y.
x^2 + y^2 - 12y = -20
x^2 + y^2 - 12y + 36 = -20 + 36
x^2 + (y - 6)^2 = 16
(x - 0)^2 + (y - 6)^2 = 4^2
Center: (0, 6); radius = 4
how many £7.50 is there in £217.5?
Answer:
29
Step-by-step explanation:
217.5÷7.50=29
............ur welcome...............
There are 32 founding members of an organization. The function y 3x + 32 can be used to determine the number of members in the organization
after 3 months.
A car factory made 30 cars with a sunroof and 9 cars without a sunroof. What is the ratio of
the number of cars with a sunroof to the total number of cars?
Answer:
30:9
Step-by-step explanation:
6 x 2/3 ??? yeah ik its not helping
Answer:
6 * 2/3 = 12/3 = 4
Step-by-step explanation.
you can think about it like this: 6 * 1/3 * 2
1/3 of 6 is 2 because 2 * 3 is 6
2 * 2 is 4, therefore the correct answer is 4
remember doing 6 * 2/3 is the same as doing 6/1 * 2/3 if that helps
Which measurement is equivalent to 84 inches?
A.8 feet
B. 1 yard, 2 feet, 24 inches
C. 7 feet, 4 inches
D. 4 feet, 40 inches
Answer: A
Step-by-step explanation:
Answer: B. 1 yard, 2 feet, 24 inches
Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches
if a translation has a coordinate notation of (x,y) --> (x+1,y-3) then what is the image of (4,-4)
Answer:
(5, - 7 )
Step-by-step explanation:
A translation rule of
(x, y ) → (x + 1, y - 3 )
means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is
(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )
A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?
Answer:
volume = 549.5 cm³
Step-by-step explanation:
base area m= πr² = (3.14)(5²) = 78.5 cm²
volume = base area x height = 78.5 x 7 = 549.5 cm³
Answer:
549.5 cm3
Step-by-step explanation:
100 POINTS!!! SHOW ALL WORK PLZ!!! Tarah bought 42 shares of a company’s stock for $16.45 / share. She pays a broker a commission of $7 to buy and
sell stock. After one year, Tarah sold all her shares, when they were worth $20.64 / share.
How much did it cost Tarah to buy the stock? Show your work.
What was Tarah’s net gain or loss? Show your work.
What was Tarah’s annual rate of return? Show your work, make answer a % and then round to tenths place.
Answer:
`a) $697.90
b) $161.98 gain
c) 23.2096% annual return rate
Step-by-step explanation:
a) $16.45 for one share. 42 shares will cost 16.45 x 42 = $690.90
As she used a broker and paid $7, the total cost for Tarah would be $697.90
b) After the investment, Tarah's gain is $20.64 per stock and she had bought 42. So the total income would be 20.64 x 42 = $866.88. However, she used a broker to sell the stocks as well, so the total gain would only be 859.88.
Overall, the cost was -697.90+859.88 = 161.98 net gain.
c) The rate of return would be the percentage of the original price of stocks that is equal to the net gain. What we are trying to find here is:
What percentage of 697.90 is 161.98?
We can find this percentage by doing a simple division (161.98/697.90) which gives us an answer of 0.232096
In percentages, multiply this decimal by 100 to get a 23.2096% annual return.
I hope I am correct, but some of the vocabularies may have messed up my answers. Hope it helps!
A wooden board is leaning against a wall. The base of the board is 10 feet from the base of the wall. The base of the board forms a 35° angle with the ground.
What is the length of the wooden board?
Round your answer to nearest tenth.
Answer:
The length of the wooden board is about 12.2 feet.
Step-by-step explanation:
Please refer to the diagram attached below.
The base of the board forms a 35° degree angle with the ground.
And we want to find the length of the wooden board.
Since we are given an angle and its adjacent length and we want to find the hypotenuse, we can use the cosine ratio:
[tex]\displaystyle \cos(\theta^\circ)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is the distance from the wall to the board, which is 10 feet.
And the angle made is 35°.
The hypotenuse is the length of the wooden board. Therefore:
[tex]\displaystyle \cos(35)=\frac{10}{\ell}[/tex]
Solve for the length. Cross-multiply:
[tex]\displaystyle 10=\ell \cos(35)[/tex]
Therefore:
[tex]\displaystyle \ell=\frac{10}{\cos(35)}\approx12.2[/tex]
The length of the wooden board is about 12.2 feet.
Ben is making waffles for his 3 friends. The recipe calls for cup of bleached 2/3 flour and 1/4 cup of wheat flour. What is the total amount of flour Ben needs to make the waffles?
Answer:
2 3/4 cups of flour
Step-by-step explanation:
If Ben makes waffles for three friend then the recipe needs to be multiplied by three. First I would find the common denominator of 2 / 3 and 1/ 4. Then, I would add them together to get the answer of 11/12. After that, multiply the amount of times you are making the recipe (3). Then simplify
what is the value of 5 in 13,542 plz help
Answer:
500
Step-by-step explanation:
it is in the hundreths place
Answer:
Step-by-step explanation:
500 because it's in the hundredths place
Solve the problem. Round to the nearest cent.
Brad wants to have available to buy a car in 5 years. How much must he deposit now at compounded monthly to reach that goal?
Group of answer choices
$22,366.96
$12,395.17
$22,905.95
$12,920.84
Answer:
$10,857.8
Step-by-step explanation:
Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?
A = p(1 + r/n)^nt
P = A / (1 + r/n)^nt
P = 17000 / (1 + 0.09/12)^(12*5)
= 17,0000 / (1 + 0.0075)^60
= 17,000 / (1.0075)^60
= 17,000 / 1.5657
= 10,857.8
P = $10,857.8
On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.
How many of these 250 customers made additional purchases?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.