The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
Given that,
A particle travels along the x-axis such that its position at time t is given by,
Function; [tex]\rm x(t)=2t^2+t[/tex]
We have to find,
What is the average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10?
According to the question,
The position of the particle is given by,
[tex]\rm x(t)=2t^2+t[/tex]
The average speed of this particle is determined by differentiating the function with respect to x,
[tex]\rm \dfrac{dx}{dt} = \dfrac{d(2t^2+t)}{dx}\\\\\dfrac{dx}{dt} = 4t + 1 \\\\v(t) = 4t+1[/tex]
Then,
The average speed of the particle over interval 2 is,
[tex]\rm v(t) = 4t+1 \\\\v(2) = 4(2)+1\\\\v(2) = 8+1 \\\\v(2) = 9 \ meter \ per \ second[/tex]
And the average speed of the particle over interval 10 is,
[tex]\rm v(t) = 4t+1 \\\\v(10) = 4(10)+1\\\\v(10) = 40+1 \\\\v(10) = 41 \ meter \ per \ second[/tex]
Therefore,
The average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is,
[tex]\rm v(t) = v(10)-v(2)\\\\v(t) = 41-9\\\\v(t)= 32 \ meter \ per \ second[/tex]
Hence, The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
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https://brainly.com/question/2292357
Answer:
Very basically, the answer is 3
Step-by-step explanation:
Know this cause Edge 2023
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Answer:
37 used beeds
Step-by-step explanation:
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You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
Translate the sentence into an equation. The sum of 2 times a number and 5 is 8.
Answer:8=2xn+5
Step-by-step explanation:X is times
n is variable
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Оооо
20
24
Answer:
24
Step-by-step explanation:
An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?
Answer:
There are 7 ten-dollar bills and 16 five-dollar bills.
Step-by-step explanation:
Let's call:
T: Number of ten-dollar bills
F: Number of five-dollar bills
The amount of money withdrawn from the ATM is $150:
10T+5F=150
Dividing by 5:
[tex]2T+F=30\qquad\qquad [1][/tex]
We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:
[tex]F=2+2T\qquad\qquad [2][/tex]
Substituting [2] into [1]:
2T+2T+2=30
Rearranging:
2T+2T=30-2
Simplifying:
4T=28
Solving:
T=28/4=7
From [2]:
F=2+2*7=2+14=16
There are 7 ten-dollar bills and 16 five-dollar bills.
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Answer:
180/3=60
60/3=20
20/3=6.667(redondeado)
6.667/3= 2.222(redondeado)
2.222/3=0.741(redondeado)
0.741/3=0.247
Are the 2 triangles congruent?
Answer:
ya they r
Step-by-step explanation:
5(3 - x) < -2x + 6 please solve for me <3
Answer:
>3
Step-by-step explanation:
−5x+15<−2x+6
Step 2: Add 2x to both sides.
−5x+15+2x<−2x+6+2x
−3x+15<6
Step 3: Subtract 15 from both sides.
−3x+15−15<6−15
−3x<−9
Step 4: Divide both sides by -3.
−3x
−3
<
−9
−3
(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?
Area of the circle A = πr²
dA/dr = 2πr where r is the radius of the circle
dA/dt = dA/dr * dr/dt
dr/dt is the rate of increase in radius of the oil spill.
Given
dr/dt = 1m/s
radius r = 25m
Substitute into the formula above;
dA/dt = dA/dr * dr/dt
dA/dt = 2πr * 1
dA/dt = 2π(25) * 1
dA/dt = 50πm²/s
dA/dt = 157.1m²/s
Hence the area of the spill is increasing at the rate of 157.1m²/s
Enter the correct value so that each expression is a perfect-square trinomial.
x^2 + __ x + 36
Answer:
12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i did it and got it right on ed.
please i need some help due in some mins
The Distance between the school and the park 6km there 1.6km in 1 mile how many miles are between the school and the park
Answer:
3.75
Step-by-step explanation:
6 km = 1.6 km
1 km = x
6 / by 1.6 = 3.75
HOPE ITS HELPFUL!
Divide the number 90 into three parts in the ratio 1:4:5.
Answer:
9, 36, and 45
Step-by-step explanation:
The order is 9, 36, and 45 because as we have to divide 90 into 1:4:5, 1+4+5=10 total parts. Then 90 divided by 10 equals to 9. The first number has 1 part, so 9x1=9 for the first number. For 4 parts, 9x4=36 for the second number. For 5 parts, 9x5=45 for the third number. The order is 9, 36, and 45. Hope it helps!
When we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.
Given that,
The number is 90. We have to divide the above number in 1:4:5 ratio.
Based on the above information, the calculation is as follows:
x + 4x + 5x = 90
10x = 90
x = 9
Now multiply each ratio with 9 to get each value.
So, the values should be 9,36, and 45.
Therefore we can conclude that when we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.
Learn more: brainly.com/question/21416852
What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10
Answer:
1) 20
Step-by-step explanation:
40% percent of this number is only a small amount.
20
Step-by-step explanation:
40 percent of this number is a small amount
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The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?
Subtract the new value from original value to find the difference:
35 - 28 = 7
Divide the difference by the original amount and multiply by 100:
7/35 = 0.2 x 100 = 20%
The decrease was 20%
Answer:
20%
Step-by-step explanation:
First, subtract the new value from the original value to find the difference between the two.
35 - 28 = 7
Next, divide the difference by the original amount.
7 / 35 = 0.2
Then, multiply by 100.
.2 x 100 = 20%
We now know that the decrease was 20%
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
PLEASE HELP!!
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The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x axis.
When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)
A( 1,4) becomes A’(1,-4)
B(3,-2) becomes B’(3,2)
C(4,2) becomes C’(4,-2)
How do you show that an inequality is true on a number line?
HELP ME PLEASE
In the diagram below, which distance represents the distance from point to
KE?
A JL
В. КМ
C. JM
D. JK
Help Please! :(
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.
Answer:
81
Step-by-step explanation:
What’s the value of y in this picture
Answer: A 83
Step-by-step explanation:
Add 46 to 51 then subtract from 180 to get the correct answer(83)
Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2
the decimal equivalent 3/5 is a repeating decimal true or false?
Answer: false
Step-by-step explanation:
3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.
True, the decimal equivalent of 3/5 is a repeating decimal.
We have,
The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.
When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.
This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.
Thus,
True, the decimal equivalent of 3/5 is a repeating decimal.
Learn more about expressions here:
https://brainly.com/question/3118662
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A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?
Answer:
32
Step-by-step explanation:
First, subtract the membership free from the total cost:
46 - 14
= 32
To find how many visits they can make, divide this by 1:
32/1
= 32
So, the maximum number of visits a member can make is 32.
Answer:
32
Step-by-step explanation:
twice a number k plus the quantity s minus 2
2k + s - 2
I don't understand the question
Answer:
2k+s-2
Step-by-step explanation:
twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is
=2k+s-2
Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?
Answer:
he need 84
Step-by-step explanation:
12* 7
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Answer:
38 feet
Step-by-step explanation:
Find the perimeter:
12 + 7 + 12 + 7 = 24 + 14 = 38 feet of fencing
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
speed = distance over time
1 mile = 1609 meters.
Answer:
10.4 meters per second
Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110
Answer:15x+35=110
Step-by-step explanation:
Select the THREE solutions that are equivalent to the expression 4(n + 1):
a. 4n + 1
b. n + n + n +n +1 +1 +1 +1
c. 2n + 2n + 4
d. 2n + n + n +1
e. 4n + 4
f. 4 (n + 4)
Answer:
The answer would be b, c, e
Answer:
b,c,e
Step-by-step explanation:
4(n+1)
4n+4
n+n+n+n=4n
1+1+1+1=4
4n+4
2n+2n=4n
4n+4
4n+4