Answers
The speed of the ball after one second is given as follows:
9.175 m/s.
How to obtain the speed of the ball?The speed function is the derivative of the position function, which is graphed in this problem.
The position function, in meters, for a projectile's height, is given as follows:
h(t) = -4.9t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.From the graph, the initial height is given as follows:
h(0) = 6.
When t = 4, h = 2.5, hence the initial velocity is obtained as follows:
2.5 = -4.9(4)² + 4v(0) + 6
4v(0) = 2.5 - 5 + 4.9(4)²
4v(0) = 75.9
v(0) = 75.9/4
v(0) = 18.975.
Then the position function is of:
h(t) = -4.9t² + 18.975t + 6.
The velocity function is the derivative of the position, hence:
v(t) = -9.8t + 18.975.
Then the velocity after one second is of:
v(1) = -9.8 + 18.975 = 9.175 m/s.
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Related Questions
How do you translate algebraic expressions?
Answers
Answer:
could u give me an example? I need an example to explain.
Step-by-step explanation:
BOOKS Eduardo is writing a historical novel. He wrote 16 pages today, bringing his total number of pages written to more than 50. How many pages p did Eduardo write before today? Complete the inequality that represents this situation. Then solve the inequality.
Answers
Answer:
p > 34
He wrote more than 34 pages before today.
Step-by-step explanation:
Eduardo wrote 16 more pages, increasing his total number of pages above 50.
p = pages he wrote before today
p + 16 > 50
p > 50 - 16
p > 34
He wrote more than 34 pages before today.
A technician is setting up a router and would like to increase the security level. Which of the following actions will achieve this? A. Increasing transmission power B. Changing the default admin password C. Installing anti-malware on the router D. Configuring multifactor logon authentication
Answers
changing the default admin password will achieve the security level.
What is a router ?
An networking device called a router is used to forward data packets between computer networks. On the worldwide Internet and between networks, routers handle traffic directing. Data packets are the unit of data delivered via a network, such as an email or a web page. An internetwork (such as the Internet) is made up of networks, and a packet is normally passed from one router to another router over those networks until it reaches its destination node.
Default admin password can be known for many people and they can use the internet.
So, changing the default admin password will achieve the security level.
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NEED HELP DUE TOMORROW!!
Answers
All the given triangles are congruent by SSS, SAS, and AAA rules.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
As per the given triangles,
In the first triangle, two sides are the same and the third side is the common side thus it will be congruent with the SSS rule.
The remaining triangles are also congruent similarly to SAS and AAA rules like this.
Hence "By the SSS, SAS, and AAA criteria, every triangle in the example is congruent.".
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Barry draws the model below and says it proves that 1,243\3=481. What mistake does Barry make
Answers
Answer:
Step-by-step explanation:
You need to show the model so I can answer
At which temperature did yeast cells produce the least amount of gas in 15 minutes?
[1]
_________°C
Answers
At 90 degree Celsius, yeast cells produce the least amount of gas in 15 minutes.
Given,
The graph shows the effect of temperature on Yeast Respiration
Change in volume of bread dough vs temperature of water bath bath is given in the graph.
We have to find the temperature at which the yeast cells produce the least amount of gas in 15 minutes;
Effect of Temperature on Yeast Respiration;
Yeast will produce more carbon dioxide at higher temperatures, which will result in more bubbles developing. The rate of respiration will decrease whenever the temperature rises above a particular level.
Here,
Compared to 10 degrees, 25 degrees, 50 degrees, and 75 degrees Celsius, the yeast cells produced the least quantity of gas in 15 minutes at 90 degrees.
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3x + 2y = 7
x=3y +6
Answers
Answer:
[tex]x=3, y=-1[/tex]
Step-by-step explanation:
[tex]3(3y+6)+2y=7 \\ \\ 9y+18+2y=7 \\ \\ 11y+18=7 \\ \\ 11y=-11 \\ \\ y=-1 \\ \\ \\ x=3(-1)+6=3[/tex]
Please help asap will give BRAINLIEST
Answers
given the triangle below, select all true statements
Answers
Answer:
first and fourth statements are true
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , so
2x + 1 + x + x + 15 = 180 , that is
4x + 16 = 180 ( subtract 16 from both sides ) ← True
4x = 164 ( divide both sides by 4 )
x = 41 ≠ 49
then
∠ A = 2x + 1 = 2(41) + 1 = 82 + 1 = 83° ≠ 99°
∠ C = x + 15 = 41 + 15 = 56° ← True
what is the slope of a line perpendicular to the following line
y=1/3x-2
Answers
Answer:
The slope of a line perpendicular to the line y=1/3x-2 is the negative reciprocal of the slope of that line. The slope of the line y=1/3x-2 is 1/3, so the slope of a line perpendicular to it is -3.
if 47200 dollar is invested at an interest rate of 10 percent per ayear.Find the value o the investment at the end of 5years for the following compunding method,to the nesrset cen.
(a) anually?
(b) semi anual?
(c)monthly?
(d)daily?
Answers
Answer:
a. annually
Step-by-step explanation:
anually means yearly, semi anual means twice a year
Try to do 1 2 and 3 questions
Not the 4th question
Answers
Answer:
1. x=25
2. x=6
3. y=30; x=20
Step-by-step explanation:
1.) 180 - 130 = 2x
2x = 50
x = 50/2 = 25
2.) 24 = 3(x+2)
24 = 3x + 6
3x = 18
x = 18/3 = 6
3.) y = 46 - 16 = 30
x = 180 - 100 - 60 = 20
Poems Percentage 155155155 \%%percent of 155155155 poems
Answers
100 percent of the 155 poems.
Of the 155 poems, 31 represent 20%.
120% of 155 poems, or 186 poems.
How are percentages calculated ?In order to convert a proportion to a percentage, the number of desired results is divided by the total number of outcomes. The outcome is then 100% multiplied.
The total number of outcomes is presented as follows, taken from the tape diagram provided at the end of the answer:
According to the given information
155 poetry.
The distribution of the 155 poems is as follows:
155/155 x 100% = 100%.
In the 31 poems, there are:
31/155 x 100% = 20%.
Among the 186 poems, there are:
186/155 x 100% = 120%.
So
In this issue, the percentages are described as follows:
100 percent of the 155 poems.
Of the 155 poems, 31 represent 20%.
120% of 155 poems, or 186 poems.
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The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answers
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
Use the number line below to determine which of the following answer choices has statements that are all true.
7
Point A represents -4, Point D represents 1, and -4 < 1
O Point B represents -21, Point C represents 1, and 1> - 2/1/201
O Point B represents -2, Point C represents 1, and 1 < - 21/
O Point B represents 21, Point C represents 1, and 2½ > 1
B
Answers
The response choice that include the true statements based on the number line is the second option;
Point B represents [tex]-2\frac{1}{2}[/tex], Point C represents 1, and 1 > [tex]-2\frac{1}{2}[/tex]
What is a number line?A number line is a line that contains (equally spaced) markings, which is then used to illustrate mathematical operations.
The number line in the question is presented as follows;
<________|_____|_____|__|__|____|____|____|___|_|____|_____|____>
-5 A B 0 C D 5 [tex]{}[/tex]
Therefore, based on the number line, we get;
The location of the point A is 4 units to the left of the point 0, taking the points to the right of zero as positive, we get;
Each unit to the left of point O, is -1 larger than the previous value, moving from right to left.
The coordinates of the point A is therefore, -1 × 4 = -4
The point A represents -4The point B is two and a half unit to the left of 0, therefore, the point B represents -2 1/2The location of the point C is one unit to the right of 0, therefore, the coordinates of the point C is 1
The point C represents 1The location of the point C = 1 is further right to 0 than the point B = -2 1/2
Therefore;
C > B, which indicates 1 > -2 1/2The correct option is; Point B represents -2 1/2, Point C represents 1, and 1 > -2 1/2
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Quadrilateral A'B'C'D' is a translation of quadrilateral ABCD. What is the length of A'B' ?
Answers
Answer:
7
Step-by-step explanation:
A'B' should be equal to AB, as AB corresponds to A'B' in the second image attached. Since AB = 7, A'B' will also equal to 7.
Answer:
Answer A
Step-by-step explanation:
7 units
Create at least 3 expressions equivalent to 5z.
Answers
The required expression that is equivalent to 5z is √[5z]², [5z]²/5z, and 5z + 1 - 1.
Given that,
To create 3 expressions equivalent expression to 5z,
The algebraic expression consists of constant and variable. eg x, y, z, etc.
Here,
The expression can be created by applying the mathematical operation to the parent expression such as by squaring, division and multiplication, and so on.
The equivalent expression is deduced as, √[5z]², [5z]²/5z, and 5z + 1 - 1.
Thus, The required expression that is equivalent to 5z is √[5z]², [5z]²/5z, and 5z + 1 - 1.
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2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
Answers
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
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If LM bisects JK at point P, which statements must be true? Select all the true statements.
Answers
Let f(x)=3x-4 and g(x)=x/2+1. Find f(g(x)) of f o g
Answers
Answer:
f(g(x)) = 1.5x - 1------------------------------------------
Given functionsf(x) = 3x - 4 and g(x) = x/2 + 1Find f(g(x))Substitute g(x) into x of f and evaluate:
f(g(x)) = f(x/2 + 1) = 3(x/2 + 1) - 4 = 3/2x + 3 - 4 = 1.5x - 1What is the next number in this sequence ? 1,2,2, 4,8,3,2
Answers
The next number in the given sequence is 256
What is Fibonacci sequence?
Leonardo Pisano Bogollo, an Italian, was the first to discover the Fibonacci sequence (Fibonacci). The numbers in the Fibonacci sequence are all whole numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... Each phrase in this infinite sequence—which has 0 and 1 as its initial values—is the sum of the two terms before it. This pattern has been referred to as "nature's secret code."
Sunflowers, daisies, broccoli, cauliflower, seashells, and other spiral-shaped plants all display the Fibonacci sequence.
Observe that, the terms in the sequence are based on the 2 to the power of the Fibonacci series (0,1,1,2,3,5,8 …)
2^0=1
2^1=2
2^1=2
2^2=4
2^3=8
2^5=32
2^8=256
So, the next number in the given sequence is 256.
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-9k+7>=16 and 5-k<=13
Answers
The solution to the inequality -9k + 7 ≥ 16 and 5 - k ≤ 13 is -8 ≤ k ≤ -1
How to determine the solution to the inequality?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
-9k+7>=16 and 5-k<=13
Rewrite the above inequality expressions
So, we have the following representation
-9k + 7 ≥ 16 and 5 - k ≤ 13
Evaluate the like terms in the above inequality expressions
So, we have the following representation
-9k ≥ 9 and - k ≤ 8
Divide both sides of the above inequality expressions by the coefficient of x
So, we have the following representation
k ≤ -1 and k ≥ -8
When the solution is merged, we have
-8 ≤ k ≤ -1
Hence, the solution is -8 ≤ k ≤ -1
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Complete question
Solve for k in -9k+7>=16 and 5-k<=13
A kiddie pool holds 16 gallons of water. How many pints of water is this equal
Answers
The kiddie pool can hold 128 pints of water which is equivalent to 16 gallons.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 gallon is equal to 8 pints.
So, To obtain the number of pints in 16 gallons of water we have to multiply the total no.of gallons with a unitary pint value of 1 gallon which is,
= (16×8) pints.
= 128 pints.
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Answer: 128 pints
Step-by-step explanation:
1 gallon is 8 pints, 8 multiplied by 16 equals 128
The price of a stock steadily decreased by a total of $159 over the past 14 months. Which expression shows the change in the stock's value?
Answers
The expression that shows the change in the stock's value is -159 * 14
How to determine the expression that shows the change in the stock's value?From the question, we have the following parameters that can be used in our computation:
Rate of decrement = $159
Duration = 14 months
Using the above as a guide, we have the following:
The expression that shows the change in the stock's value is
Expression = Rate of decrement * Duration
Substitute the known values in the above equation, so, we have the following representation
Expression = -159 * 14
Evaluate the products
Expression = -2226
Hence, the required expression is -159 * 14
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An image of a television is shown. The depth of the television is 4 inches. The
height of the television is 39 inches with a diagonal length of 65 inches.
39 in
65 in
What is the surface area of the model?
A. 5,902 in²
B. 7,696 in²
C. 4,784 in²
D. 6,162 in²
Answers
The surface area of the model is 4,784 in². Option C. is the answer
How to find the surface area of the model?Given: depth of the television = 4 inches, the height of the television = 39 inches and diagonal length = 65 inches.
From the image attached. You can find the width of the television using Pythagoras' theorem:
Width (W) = √(65²-39²) = 52 inches
Surface area of the model = (area of back and front) + (area of left and right) + (area of top and bottom)
Let H, D and W represent the height, depth and width of the television respectively
Surface area of the model = 2WH + 2WD + 2DH
Surface area of the model = 2×52×39 + 2×52×4 + 2×4×39
Surface area of the model = 4056 + 416 + 312
Surface area of the model = 4,784 in²
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Answer: 4,784 in2
Step-by-step explanation: CORRECT ON EDMENTUM
A slope of - 5/8 and a slope of 8/5 are
Perpendicular
Parallel
Neither
Answers
A slope of -5/8 and 8/5 are perpendicular.
Lines that are perpendicular have slopes that are opposite reciprocals of one another.
Hope this helps!
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In the diagram, the measures of ∠2, ∠6, and ∠7 are 25°. The measure of ∠1 is 155°. Are lines c and d parallel?
Answers
Answer: Yes
Step-by-step explanation:
Parallel means that the lines are a constant distance away from each other and they never touch. As you can see lines C and D never touch.
Answer:
lets say C BAHAHAHA
Step-by-step explanation:
pls help pls help pls help
Answers
Answer:
1.727 x 10^4
Step-by-step explanation:
2.26 x 10^4 = 22 600
5.33 x 10³ = 5330
22 600 - 5330 = 17 270
17 270 = 1.727 x 10^4
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ΔABC is rotated 90° clockwise about the origin.
Answers
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
What is the slope of -15x + 10y = 50?
m = 15
m = 2/3
m = 5
m = 1
m = 3/2
Answers
Answer:
[tex] \huge{ \boxed{m = \frac{3}{2} }}[/tex]
Step-by-step explanation:
[tex] - 15x + 10y = 50[/tex]
Equation of a line is given by
[tex] \bold{y = mx + c}[/tex]
where
m is the slope
c is the y intercept
To find the slope, we must first rewrite the equation in the given form y = mx + c and compare both equations.
[tex] - 15x + 10 y = 50 \\ \\ 10y = 15x + 50 \\ \\ \frac{10y}{10} = \frac{15}{10} x + \frac{50}{10} \\ \\ y = \frac{3}{2} x + 5[/tex]
Comparing it with the general equation y=mx + c,
[tex]m = \frac{3}{2} \\ [/tex]