Answer:
7
Step-by-step explanation:
A particle moves along the x-axis so that at time
t
≥
0
t≥0 its position is given by
x
(
t
)
=
t
3
−
6
t
2
−
29.
x(t)=t
3
−6t
2
−29. Determine the total distance traveled by the particle from
0
≤
t
≤
7.
0≤t≤7.
The total distance traveled from 0 ≤ t ≤ 7, considering the position function x(t) = t³ - 6t² - 29, is given as follows:
288.75 units.
How to obtain the total distance traveled?The position function for this problem is defined as follows:
x(t) = t³ - 6t² - 29.
The total distance traveled over an interval [a,b] is given by the definite integral of the function x(t) over the interval from x = a to x = b.
The definite integral in this problem is calculated as follows:
I = 0.25t^4 - 2t³ - 29t, from t = 0 to t = 7.
Applying the Fundamental Theorem of Calculus, the total distance is calculated as follows:
I = 0.25(7)^4 - 2(7)³ - 29(7) - (0.25(0)^4 - 2(0)³ - 29(0))
I = 288.75 units.
(which is the absolute value of the result of the definite integral).
More can be learned about definite integrals at https://brainly.com/question/22008756
#SPJ1
Select the correct answer.
Kathy distributes jelly beans among her friends. Alia gets 42 fewer jelly beans than Kelly, who gets 33 jelly beans. How many jelly beans does Alia get?
A.
42 − 33
B.
33 + 42
C.
4 − 33
D.
33 − 42
E.
32 − 43
If Brian could have bought exactly 12 pairs with the amount of money that was spent on apples and oranges find the cost of each pair incense in terms of x
Therefore the cost of each pair of incense is 2.4 in terms of x.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Let x be the cost of one pair of incense.
We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:
(cost of apples + cost of oranges) = 12x
We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:
(3x + 2x) = 12x
5x = 12x
x = 12/5 or 2.4
So the cost of each pair of incense is 2.4 in terms of x.
To know more about equation visit: https://brainly.com/question/29657983
#SPJ4
Part A) based on your answer to answer to part a, are there any values that can be eliminated from the solution set
The values that can be eliminated from the solution set of the inequality are given as follows:
Values of x ≤ 0.
How to calculate the perimeter of a rectangle?The perimeter of a rectangle of length l and height h is given by the formula presented as follows:
P = 2(l + h).
The dimensions for this problem are given as follows:
Length l = x + 4.Height h = x.The perimeter must be less than 120, hence the inequality is given as follows:
2(x + 4 + x) < 120
4x + 8 < 120
4x < 112
x < 28.
However, a side length must assume positive values, meaning that values of x ≤ 0, that is, zero and negative values, are eliminated from the solution.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/24571594
#SPJ1
can someone explain how you would check this equation?
Step-by-step explanation:
By plugging in the coordinates into your Equations, both y and x to see if they equal each other
solve for x round to the nearest tenth
Answer:
40
Step-by-step explanation:
2. Which of the following. are solutions to 5.7 + x = -3.5? Choose as many as
apply.
A. -3.5+5.7
B. 3.5-5.7
C. -3.5-(-5.7)
D.-3.5-5.7
Answer:
option D is correct
5.7+x=-3.5
x= -3.5-5.7
Answer:
D
Step-by-step explanation:
5.7 + x = - 3.5 ( subtract 5.7 from both sides )
x = - 3.5 - 5.7 ( x = - 9.2 )
How to simplify the rational expression
Answer:
Factor the numerator and denominator and then divide out any common factors.
Step-by-step explanation:
What is the smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
The smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24 is 232792560.
With the elements 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, what is the smallest number?The smallest number that has all of the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 27720. This number is a product of the prime factors 2, 3, 5, 7, 11, 13, 17, 19. All of the factors can be written as a product of these prime factors, and multiplying them all together gives 27720. This is the smallest number that can be created with all of the given factors.The smallest number with the given factors is 2520. This number is the product of all the prime numbers from 1 to 10 (2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 = 2520). It is also the smallest number that can be divided evenly by all the numbers from 1 to 10. This number can also be evenly divided by 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20, so it is the smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.The smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 2520. It is the smallest number that is evenly divisible by all of these numbers. To find it, the prime factorization of each of the numbers must be used. The prime factorization of each number is the product of the prime factors raised to the highest power.To learn more about the smallest number with the factors refer to:
https://brainly.com/question/15296258
#SPJ4
How do you prove inverse?
To prove the inverse :
In the equation expressing the function, swap out f(x) for y.Swap out x and y. To put it another way, swap out every x for a y and vice versa.Solve for y.Change y to [tex]f^{-1}[/tex] (x).You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another. The functions are inverses if you get x; otherwise, they are not.
To learn more about inverse here:
https://brainly.com/question/2541698
#SPJ4
15. Find the lengths of the sides of the kite KITE. (Answer in simplest radical form and show work)
The lengths of the sides of the kite LM is 13√2.
How does Pythagoras' rule work?According to the Pythagorean theorem, the hypotenuse of a right-angled triangle's other two sides add up to a square whose length equals the hypotenuse's.
The hypotenuse (longest side) of a right-angled triangle's square is equal to the sum of its other two sides, according to the Pythagoras theorem (base and perpendicular). Hypotenuse2 = Base2 + Perpendicular2 is how this is expressed. A2 + B2 = C2 is the formula for the hypotenuse.
According to question:-
LM = 13√2
Hypotenuse = Base 2 + Perpendicular 2.
So,
LM = √7² + 17²
LM = √49 + 289
LM = √338
LM = 13√2.
To know more about lengths visit:
brainly.com/question/2217700
#SPJ1
Two sides of a triangle measure 23 inches and 41 inches. Which cannot be the length of the remaining side?
Answer:
Anything over 64 inches.
Step-by-step explanation:
The Triangle Inequality states that each side of a triangle must be shorter than the sum of the other two sides.
If you call the sides a, b, c, then a + b > c, a + c > b, b + c > a.
23 + 41 = 64, so the third side must be shorter than 64 inches.
will mark brainliest
Answer:
B
Step-by-step explanation:
We can see that the value of y is ever half of the value of x, so we can write this function
y = x/2
Answer:
B) y = [tex]\frac{X}{2}[/tex]
Step-by-step explanation:
Show all work to multiply quantity 2 plus the square root of negative 25 end quantity times quantity 4 minus the square root of negative 100 end quantity
Answer:
[tex](2+\sqrt{-25} ) * (4-\sqrt{-100})[/tex]
(2 + 5i)(4 - 10i), which is 58
58 is your answer
Step-by-step explanation:
Answer:
Hey :))
Step-by-step explanation:
(2 + 5i)(4 - 10i), which is 58
I hope this helps you!!
The numerator of a fraction is 2 less than its denominator. If 3 is subtracted from the numerator and from the
denominator, the new fraction obtained is. Find the fraction.
A set of multimedia equipment costs $1900, By setting up an inequality, find the maximum number of sets of
The Fraction for the given word problem is x/y = 9/11
What is Fraction?A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.
Let the fraction be x/y
The numerator of a fraction is 2 minus its denomination.
⇒ x = y - 2 .....(i)
When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4
⇒ x - 3/y - 3 = 3/4
Can also be written as
⇒ 4(x + 3) = 3(y - 3)
⇒ 4x - 12 = 3y - 9
⇒ 4x - 3y = -9 + 12
⇒ 4x - 3y = 3 .....(ii)
Substitute the value of (i) in (ii)
⇒ 4x - 3y = 3
⇒ 4(y - 2) - 3y = 3
⇒ 4y - 8 - 3y = 3
⇒ y - 8 = 3
⇒ y = 3 + 8
⇒ y = 11
Putting the value of y in (i).
⇒ x = y - 2
⇒ x = 11 - 2
⇒ x = 9
Hence, Fraction = x/y = 9/11
Learn more about6 fraction
https://brainly.com/question/17220365
#SPJ1
A box of cereal states that there are 87 calories in 3/4 cup serving? How many calories are in two cups of cereal?
0.25k+1.5−k−3.5 combine like terms
i'll give u a kith pls help
ANSWER:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−2,−16)
Equation Form:
x= −2, y= −16
Answer:
21 and 13
Step-by-step explanation:
A triangle has interior angles that measures 3x, (2x + 15), and (x + 45). What is the measure of the largest exterior angle?
255 toothpicks in each box if 1 fifth of the total toothpicks are broken how many are not broken
Answer:
204 toothpicks
Step-by-step explanation:
255/5 = 51
51 times 4 = 204
Find m (angle) 1 . Then classify the triangle by its angles.
M (angle) 1 =
Answer:
60 degrees and an equilateral triangle
Step-by-step explanation:
every triangle adds to 180 degrees
add 60+60=120
180-120=60 to find remaining angle
all angles are the same which makes all sides the same: equilateral
Answer:
1 =60
Step-by-step explanation:
a+b+c=180
60+60+c=180
120+c=180
-120. -120
c=60
Is maths hard or easy?
Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers.
Maths is a subject that can range in difficulty depending on the level of complexity and the individual's experience and knowledge. Some people may find it easy, while others may find it difficult. In the end, it all depends on the level of understanding and the amount of effort put into learning and practicing.
Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers
Learn more about number here
https://brainly.com/question/10547079
#SPJ4
Answer:
BOTH!
Step-by-step explanation:
See math can be easy or hard. It all depends on YOU. The equation itself isn't hard at all. Mybe a little more work to put in. but its your brain that tells you comething is too challenging or too hard. Now if you are a straight A students and you love math then ofcource your going to be like this is easy!
Determine the volume of the right cylinder
-4.2 ft
12.3 ft
A. 324.59 ft.
B. 1.996.22 ft
C. 681.64 ft
D. 2.726.55 ft.
The curved surface area of a cylinder is one third of its total surface area and the height is 5
cm. Find the diameter.
Answer:
Diameter of cylinder = 12 cm
Step-by-step explanation:
Given:
Height of cylinder = 5 cm
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
Find:
Diameter of cylinder
Computation:
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
πr²h = 3[2πrh]
πr²h = 6πrh
Radius of cylinder = 6 cm
Diameter of cylinder = 2 x Radius of cylinder
Diameter of cylinder = 2 x 6
Diameter of cylinder = 12 cm
A line pae through the origin and through point A(−2, b í 14) and B(14 í b, 72). What i the greatet poible value of b?
The greatest poible value of b is (72-14)/(14-(-2))×(x+2)+14.
What is possible value?Possible value is the potential for something to have a particular outcome, result, or consequence. It is the amount of beneficial or desirable result that can be achieved, given the available resources. Possible value is often determined by assessing various factors such as cost, risk, and time. It is an important concept in economics, finance, and business, as it helps to identify the most beneficial course of action.
The greatest possible value of b is found by solving the equation of the line through A and B, which is y = (72-14)/(14-(-2))×(x+2)+14.
Setting the y-value to 0 and solving for x gives x = -14, which means b = 14. Therefore, the greatest possible value of b is 14.
To know more about possible value click-
https://brainly.com/question/29711276
#SPJ4
mm 7 You have a part-time job that pays $4.75/hr with tips averaging $4.50/hr. Your deductions are FICA (7.65%), federal tax withholding (12.5%), and state tax withholding (6.85%). You work 20 hours per week.
3. You want to save $40.00/wk, how much is left of your discretionary income per week? Assume that all of the income from your part-time job is discretionary. (1 point) $ wk
4. You decide to save 15% of your realized income. How much do you save per month? (1 point) $ /month
Answer:
95.05
81.03
Step-by-step explanation:
Answer:
Gross weekly income:
20(4.5 + 4.75) = $185.00Deductions:
180(12.5 + 7.65 + 6.85)/100 = $48.60Net weekly income:
185 - 48.60 = $136.403.
Saving $40, the amount left per week:
136.40 - 40 = $96.404.
Saving 15%, the amount saved per month (4 weeks):
136.40*0.15*4 = $81.84In the diagram below of triangle HIJ, K is
the midpoint of H J and L is the midpoint of
IJ. If KL= -3.2 + 39, and
HI = 6x + 18, what is the measure of HI?
Answer:
HI = 48 units
Step-by-step explanation:
By midpoint theorem,
"Line segment joining midpoints of two sides of a triangle measures the half of the third side of a triangle."
Since, KL is the segment joining midpoints of JH and JI,
[tex]KL = \frac{1}{2}(HI)[/tex]
-3x + 39 = [tex]\frac{1}{2}(6x + 18)[/tex]
-3x + 39 = 3x + 9
6x = 30
x = 5
Therefore, HI = 6x + 18
= 6(5) + 18
= 30 + 18
= 48
multiple choice please help emergency
Answer:
5000 N
Step-by-step explanation:
Given,
Mass ( m ) = 20 kg
Acceleration ( a ) = 250 m/s^2
To find : Force ( F ) = ?
Formula : -
F = ma
F
= 20 x 250
= 5000 N
If the length of a rectangle is doubled, and its width is multiplied by 4, the area
of the rectangle is multiplied by —
Answer:
The area would be multipled by 8
Step-by-step explanation:
Say you have a rectangle with the length of 5 and the width of 3, the area would be 15. Double the length, 10, and quadruple the width, 12. The area would be 120. 15 × 8 = 120.
Sorry if I'm wrong.
Triangle ABC is shown below
Answer:180 degrees
Step-by-step explanation: add the angles