Answer:
1) Velocity
[tex]v(t) = -4\cdot t^{3}+36\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+72\cdot t[/tex]
2) Velocity
[tex]v(t) = -4\cdot t^{3}+24\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+48\cdot t[/tex]
Step-by-step explanation:
From Physics we remember that velocity ([tex]v(t)[/tex]) and acceleration ([tex]a(t)[/tex]) are the first and second derivatives of the function position in time. That is:
1) Let [tex]s(t) = -t^{4}+12\cdot t^{3}[/tex], where [tex]t \ge 0[/tex]. The functions velocity and aceleration are, respectively:
Velocity
[tex]v(t) = -4\cdot t^{3}+36\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+72\cdot t[/tex]
2) Let [tex]s(t) = -t^{4}+8\cdot t^{3}[/tex], where [tex]t\ge 0[/tex]. The functions velocity and acceleration are, respectively:
Velocity
[tex]v(t) = -4\cdot t^{3}+24\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+48\cdot t[/tex]
Stacy spins the pointer 120 times and records it. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is a 2. FIND THE EXPERIMENTAL PROBABILITY OF LANDING ON 2
Answer:
1 / 4
Step-by-step explanation:
Number of trials = 120
Landing on 2 = 30
Landing on 3 = 19
Landing on 4 = 25
Landing on 5 = 29
Landing on 6 = 17
The experimental probability of landing in a two:
Experimental probability :
Number of times event occurs / Number of trials
Number of 2 landings = 30
Experimental probability of landing in a 2 ;
30 / 120 = 1/4
f(x) = x2 + 2x-5
g(x) = -3x2 - 4x + 1
What is f(x) - g(x)?
Answer choices: A. 2x² – 2x - 4
B. -2x² + 6x-6
c. 4x²
- 2x - 4
D. 4x²+6x-6
Answer:
Step-by-step explanation: the answer is d cause when you are in this question for a long time just give up or guess your welcome .
Linear or nonlinear
Will mark brainliest hurry
Answer:
nonlinear
Step-by-step explanation:
The correct answer is nonlinear because of the 2x^2, it does not come out as a straight line
Please help I’m not sure what to do
Not entirely sure, but I didn't get 1 as my result when I did this question. I got false as my answer, but as I cannot provide proof, I hope somebody more qualified answers this for you!
Answer:
It is false.
Step-by-step explanation:
Neither of the systems of equations will be equal if you use this x and y.
The area of this rectangle is 5x? What does the coefficient 5 mean in terms
of the problem?
width x
length 5x
A. The length is 5 times the width.
B. The total area of the square is 5.
C. The length is 5.
Ma
D. The width is 5 times the length.
Answer:
A. The length is 5 times the width
Step-by-step explanation:
When a number is next to a variable, like 5x, it means you multiply the number and letter. So "5x" is really saying 5 · x
Since width is equal to x, the length is 5 times the width.
14/15 divided by 3/5 HELP PLEASE
Answer:
14/15÷3/5 =1 5/9
Step-by-step explanation:
14/15÷3/5=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
14/15×5/3=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
14×5 15×3=7045
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 45 using
GCF(70,45) = 5
70÷5 45÷5=14/9
The fraction
14/9
is the same as
14÷9
Convert to a mixed number using
long division for 14 ÷ 9 = 1R5, so
14/9=1 5/9
Therefore:
14/15÷3/5=1 5/9
Please mark brainliest
After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?
Answer:
D
Step-by-step explanation:
The null hypothesis is that p=0.19. The engineer says that this estimate is too low, meaning he believes the true proportion is greater than 0.19 - p>0.19. Because this is a proportion of ALL houses in the state, we use p rather than phat, leaving D as the correct answer.
Jasmine answered 16 out of 25 questions correctly on a quiz. What percent of her answers were correct?
Answer:
.64%
Step-by-step explanation:
16 devided by 25=.64
help me i’ll give brainliest
Answer:
D and B
Step-by-step explanation:
2
A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing rr radios is given by the function c(r)=5.25r+125c(r)=5.25r+125, then the value of 125125 best represents
A. The start-up cost.
B. The amount spent to manufacture each radio.
C. The profit earned from the sale of one radio.
D. The average number of radios manufactured.
Answer: b
Step-by-step explanation:
The correct statment is the amount spent to manufacture each radio.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given that the cost of manufacturing the radios is;
c(r) = 5.25r + 125
where, r is the number of radios
This is a linear function and the general form of a linear function as;
f(x) = mx + b
Here m represents the slope of the function or the rate of change of the function while b represents the intercept of the initial value of the function.
From the given function we have;
m = 5.25
b = 125
Which means that 5.25 represents the rate of change of the function. It mean the value by which the value of r changes the function.
In other words,the correct statment is the amount spent to manufacture each radio.
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Describe one way in which glaciers change the landscape as they melt and retreat.
Answer:
a valley glacier
Step-by-step explanation:
These are confined by mountains on each side and can only flow down through a valley. Both types of glacier have tremendous impacts on the surrounding landscape, changing it in various ways as they pass by.
Rob bought a hat and 3 shirts for $35 . Dan bought 2 hats and a shirt for $20 Which system of equations can be used to find s , the cost of one shirt, and h, the cost of one hat?
Answer:
1x+3y=35, 2x+y=20
x=5, y=10
Step-by-step explanation:
Let x equal the number of hats and y equal number of shirts.
Solve by substitution, elimination, or graphing.
Personally, I just solved by substitution.
Solve for x (or y) in the first equation. Let's do x.
1x+3y=35 goes to 1x=35-3y or just x=35-3y.
Since we have x, plug it in the other equation. 2(35-3y)+y=20. This equals out to y=10, i assume you understand the algebra.
Plug 10 into either equation for y.
1x+3(10)=35 or x+30=35. subtract 30 on each side. X=5.
Work out
a) 1 1/5 + 3 2/5
Step-by-step explanation:
Result:
1.5 - 1 1/5 = 3/10 = 0.3
Spelled result in words is three tenths.
How do you solve fractions step by step?
Conversion a decimal number to a fraction: 1.5 = 15/10 = 3/2
a) Write down the decimal 1.5 divided by 1: 1.5 = 1.5/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
1.5/1 = 15/10
Note: 15/10 is called a decimal fraction.
c) Simplify and reduce the fraction
15/10 = 3 * 5/2 * 5 = 3 * 5/2 * 5 = 3/2
Conversion a mixed number 11/5 to a improper fraction: 1 1/5 = 1 1/5 = 1 · 5 + 1/5 = 5 + 1/5= 6/5
Can someone plzzzz helppp meee!!!! :(
Ms. Annand is getting drinks ready for a party. She has one gallon of fruit punch, two pints of apple juice, and a quart of grape soda. How much is she bringing all together for drinks to the party, measured in cups?
Answer:
4+4+16=24
Step-by-step explanation:
16 cups in a gallon, 4 cups in two pints, and 4 cups in a quart. Hope this helps!
I WILL AWARD BRAINLIEST FOR CORRECT ANSWER :)
Answer:
The first one is correct
The second one is 20years
The third one is £8820
Step-by-step explanation:
Any whole number becomes a ratio by dividing it by one
True
False
Answer:
Step-by-step explanation:
False
Answer:
false
Step-by-step explanation:
you can't do that to any number
A company has two manufacturing plants with daily production levels of 6x + 13 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
The first plant produces 3x+20 more items daily than the second plant.
Step-by-step explanation:
Given that:
Production level of first plant = 6x+13
Production level of second plant = 3x - 7
We will find the difference of both plants manufacture levels.
Difference = First plant - Second Plant
Difference = (6x+13)-(3x-7)
Difference = 6x+13-3x+7
Difference = 3x+20
Hence,
The first plant produces 3x+20 more items daily than the second plant.
What is the volume of this cone?
Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
[tex]a^2 = b^2 + c^2[/tex]
So we can find the height of the cone with that:
[tex]10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9[/tex]
Now that we have the cone's height, we can solve for its volume:
[tex]v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3[/tex]
Answer:
c = 490/3
Step-by-step explanation:
Help explain how to do this
Answer:
its c and you're welcome
Step-by-step explanation:
(HELP PLEASE I BEG)The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750. At the beginning of 2019, the same savings account now had $3,201 in it.
By what percent did Maria’s savings increase from 2018 to 2019? Show the work that leads to your answer and do not round.
Step-by-step explanation:
First, you need to find the difference 3201-2750=451, it has increased by 451, then divide the difference by the original number, which is 2750 because thats what she started off with (3201 would be the new number)
Increase% = Increase ÷ Original Number ×100
451÷2750×100=16.4%
The percent of Maria’s savings increase from 2018 to 2019 will be 16.4%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750.
And, At the beginning of 2019, the same savings account now had $3,201 in it.
Now,
The increased amount = $3,201 - $2,750
= $451
So, The percent of Maria’s savings increase from 2018 to 2019 is,
⇒ Increased percent = 451/2750 × 100
= 16.4%
Thus, The percent of Maria’s savings increase from 2018 to 2019 = 16.4%.
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Evaluate c−d if c=11 and d=−3 .
Answer:
14
Step-by-step explanation: 11 - -3=14
A company cuts its expenses by 50% each year. How many years does it take the expenses to decrease by 4 times the original amount?
Answer: It takes 8
Step-by-step explanation:
12 times 2278 divided by 34 take away 35
Answer:
9,613
Step-by-step explanation:
Answer:
769
Step-by-step explanation:
12 x 2278 = 27336
27336 / 34 = 804
804 - 35 = 769
Hope it helps!!!!! :)))
need help to solve please
A $64 item is marked up to $80. Find the percent markup.
Answer:
The Markup was by 25%
Step-by-step explanation:
The answer is 25% because 25% of 64 is 16
25% * 64 = 16
64 + 16 = 80
So, the price markup was by 25%
Hope this helps! :)
A bus traveled 336 miles in 7 hours. It traveled the same number miles each hour. If the bus continues at the same numder of miles per hour, how many miles will the travel in 15 hours? Explain.
Answer:
The bus will travel 720 miles in 15 hours.
Step-by-step explanation:
As you know that the bus traveled 336 miles in 7 hours and it traveled the same number miles each hour, you can divide the amount of miles it traveled by the number of hours to determine the amount of miles per hour:
336/7=48
Now, you can multiply the number of miles the bus traveled each hour for 15 hours:
48*15=720
According to this, the answer is that the bus will travel 720 miles in 15 hours.
given the equation -2x + 3y = 12, find the missing value in the ordered pair (-3,_)
please hurry y'all
Answer: y = 3
Step-by-step explanation: You're given x, find y.
-2(-3) + 3y = 12 (substitute in for x)6 + 3y = 12 (multiply)3y = 9 (divide both sides by 3)3 = yThe solution is P ( -3 , 2 )
The value of y from the equation -2x + 3y = 12 is y = 2
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
-2x + 3y = 12 be equation (1)
The point on the line is P = P ( -3 , y )
On simplifying the equation , we get
Substituting the value of x = -3 in the equation , we get
-2x + 3y = 12
-2 ( -3 ) + 3y = 12
6 + 3y = 12
Subtracting 6 on both sides of the equation , we get
3y = 6
Divide by 3 on both sides of the equation , we get
y = 2
Therefore , the value of y is 2
Hence , the point P ( -3 , 2 ) lies on the equation -2x + 3y = 12
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which two
type of quardialtera has no parallel side
Answer:
Kite and Arrowhead
Step-by-step explanation:
It’s asking for “No pairs of parallel sides”
meaning no Parallel sides. It can’t be Trapezium because it has one pair of parallel sides. {The question is asking for shapes with no parallel sides}
Thank you
What expression is equivalent to x2 - 49
Answer:
x^2 - 49= (x+7) (x -7)
Step-by-step explanation: