I need assistance with this math assignment

I Need Assistance With This Math Assignment

Answers

Answer 1

Answer:

t=1.33333 seconds

Step-by-step explanation:

1. We are give the the position function, s(t). We must differentiate s(t) twice in order to find the acceleration function, a(t).

s(t) = t⁶-2t⁵

Taking the power rule to differentiate s(t), we find the velocity function, v(t).

v(t) = d/dt (t⁶-2t⁵)

v(t) = 6t⁵-10t⁴

Differentiate v(t) using the power rule again to find the acceleration function, a(t).

a(t) = d/dt (6t⁵-10t⁴)

a(t) = 30t⁴-40t³

2. To find the other t value where acceleration is equal to zero, we must set a(t) to zero.

a(t) = 30t⁴-40t³ = 0

3. Algebraically solve for t. Factoring out 10t³ from a(t), we have:

10t³(3t-4)=0

Our solutions are t=0 and t=4/3.

The other value of t when acceleration is equal to zero is 4/3, or 1.33333 seconds.


Related Questions

Solve each equation below. Show each step and check your work.

a) 56a – 178 = 98 – 248
b) 640 + 70 = 69y + 20

Answers

Answer:

A) 0.5

B) 10

Step-by-step explanation:

A) First, you need to Combine Like Terms on the right side of the =

98-248 = -150

Now, you need to Isolate the variable by getting rid of the -178. What you do to one side, you must do the the other.

56a-178(+178) = -150(+178)

56a = 28

Finally, you must remove that 56 on the a. Since it stands for 56 x a, you must do the same you did with the -178 except with Division.

56a/56 = 28/56

a = 0.5

B) Combine Like terms

640+70 = 710

Isolate the variable

710(-20) = 69y+20(=20)

690 = 69y

Remove the 69 with division

690/69 = 69y/69

10 = y

Need help with question

Answers

If your trying to find the domain the answer would be

[-4,4]

Select two numbers that multiply together to make 1 million.
40 A
2,000 B
5,000 C
25,000 D​

Answers

Answer:   A and D

Step-by-step explanation:   40 x 25,000 = 1,000,000

Answer: A and C

Step-by-step explanation:
Because 40x25000 equals 1 million



Please help I was sick and missed out on class.Thank you

Answers

Answer: [tex]\frac{0}{24}[/tex]

Step-by-step explanation:

The slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex], or reverse: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

If we substitute, we get that [tex]\frac{2-2}{6-(-18)}[/tex].

Simplify to get [tex]\frac{0}{24}[/tex].

A rock falls from a tower that is 360 feet high. As it is falling, its height is given by the formula ℎ= 200 −162. How many seconds will it take for the rock to hit the ground (h=0)? Round to the nearest tenth of a second.

Answers

The time it will takes for the rock to hit the ground (h=0)  given the height of 360 feet high is 3.53 seconds.

What is the time of falling?

The concept that will be used in the calculation is the concept of height and time .

The formular for the  expression is given as  ℎ= 200 −16t^2

Then the height of the tower is been given as 360 feet high

ℎ= 200 −16t^2

then

t^2=200/16

t^2=12.5

t=3.53 seconds

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The following data are for Jay Robert Company. Breakeven sales revenue $250,000 Fixed costs $150,000 Calculate the sales revenue necessary to generate net income of $100,000. $618,667 $533,333 $625,000 $400,000 $416,667

Answers

The sales revenue necessary to generate net income of $100,000 is: $416,667.

How to find the sales revenue?

Using this formula to find the sales revenue

Sales revenue = Sales revenue + (Sales revenue × Net income / Fixed costs)

Let plug in the formula

Sales revenue =  $250,000 + ($250,000 × $100,000 /$150,000)

Sales revenue = $250,000 + ($250,000 ×0.6666666)

Sales revenue = $250,000 + $166,666.65

Sales revenue = $416,666.65

Sales revenue = $416,667 (Approximately)

Therefore the correct option  is E.

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Simplify this equation:
[tex] {7}^{8} \times {7}^{3} \times {7}^{4} \div {7}^{9} \times {7}^{5} [/tex]

Answers

Answer:

7

Step-by-step explanation:

Exponent law:

        [tex]\sf a^m * a^n = a^{m+n}\\\\\dfrac{a^m}{a^n}=a^{m-n}[/tex]

In exponents multiplication, when bases are same add the powers.

In exponents division, if bases are same subtract the powers.

[tex]\sf \dfrac{7^8*7^3*7^4}{7^9*7^5}=\dfrac{7^{8+3+4}}{7^{9+5}}[/tex]

                  [tex]\sf =\dfrac{7^{15}}{7^{14}}\\\\=7^{15-14}\\\\=7^1\\\\=7[/tex]

Write an equation that has the given solutions. 1, -1​

Answers

Answer:

(x+1)(x-1)

Step-by-step explanation:

The solutions 1 and - 1 is given when

x = 1 or x = - 1

hence; (x - 1) = 0 or (x + 1) = 0

(x - 1)(x + 1) = 0

x² -1 = 0

Mark as brainliest answer please. Thanks

Ira invests $4000 into an account that earns 0.6% simple interest annually. Which statement best describes the relationship between the number of years Ira has his money invested and the balance in any year

Answers

The Amount of money that she received at the end of the read is $4024, the relationship between the number of years Ira has his money invested and the balance in any year differs by $24 which is the simple interest.

Amount invested by Ira = P = $4000

The rate of Interest (r) = 0.6 %

Time period (t) = 1 year.

The simple interest is given by,

[tex]S.I. = \frac{P*r*t}{100}[/tex]

Now, putting the values in the formula, we get:

[tex]S.I. = \frac{4000*0.6*1}{100} =24[/tex]

Hence, the simple interest will be $24

Now, the Amount/balance that she received in the year is A = P +S.I

A = P+S.I.

A = 4000 +24 = $4024

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Answer:

The relationship is linear. His account increases each year by a constant value of $24.

Step-by-step explanation:

took the test

The simple interest on a sum of money invested 6 months at 5% per annum is $1680. Determine the amount of money invested.

Answers

Answer:

9514 1404 393

Answer:

 $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

 P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

 P = $67,200

The amount invested was $67,200.

Step-by-step explanation:

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

Answer:

24.359

Step-by-step explanation:

The height is opposite of the 77 so we are using sin. The length of the ladder is the hypotenuse.

sin(77°)=height/25     Set up equation sin=height/hypotenuse

25*sin(77°)=height     Multiply both sides by 25

25*.96437=height

height=24.359

Please help an 8th grader in needdddddddddddddddddddddddddddddddddddddddddddd

Answers

Answer:

The two points used to find the slope:

[tex]x_1,y_1[/tex]: 2,30

[tex]y_1,y_2:[/tex] 4,10

Final equation: y = -10x + 50

Step-by-step explanation:

From a fellow 8th grader <3

First, let's review the slope of a line: y = mx + b

Where m is the slope, and b the y-intercept

Let's find the slope. To do this I will select 2 points from this graph, and using the slope formula I will calculate it

Slope formula: [tex]\frac{rise}{run} =\frac{change- in- y}{change-in-x} =\frac{y^2-y^1}{x^2-x^1}[/tex]

To get the most accurate answer, I will be using the 2 points given that are directly on the line:

1 = (2, 30)

2 = (4, 10)

Slope: [tex]\frac{10-30}{4-2} =\frac{-20}{2} =-10[/tex]

m = -10

It makes sense that it is a negative, since the graph continues downwards.

Let's update our equation: y = -10x + b

We can see that the line intersects the y-axis at y = 50

Plug this into our b-value:

y = -10x + 50

Now, I would recommend using a graphing calculator (like a TI-83) or an online one (like desmos) to double check this. I have attached a screenshot of this line on desmos. From there we can see if this line matches up with the one seen on your graph.

Our answer is:

The two points used to find the slope:

[tex]x_1,y_1[/tex]: 2,30

[tex]y_1,y_2:[/tex] 4,10

Final equation: y = -10x + 50

Please let me know if this helped you, and if this was the correct answer! If it is incorrect I will do my best to revise my answer.

Answer: y intercept is (0,50) and Slope is -10.

Final equation is y= -10x+50

Step-by-step explanation:

Y-intercept is at what point the line intercepts the y-axis. It intersects at (0,50) coordinate point as you can see.

Slope is change in y divided by the change in x. When you change x by 1, y changes by -10. So it is -10/1 = -10. Slope is -10.

Since we know y intercept and slope equation is y=-10x+50

The curved surface area, A of a cone of height h and base radius r is π√h²+r².
Make h the subject of the formula.
Find the height of a cone of area 550 cm² and base radius 7 cm

Answers

The height of the cone is 580.36 cm.

The curved surface area of the cone is given by,

[tex]A = \pi \sqrt{h^{2} +r^{2} }[/tex]

Squaring both sides, we get :

[tex]A^{2} =\pi ^{2} (h^{2} +r^{2} )[/tex]

Now, it is given that the height of the cone is h,

The area of the cone = 550 [tex]cm^{2}[/tex]

And the radius of the cone = 7cm,

Putting these values in the given formula, we get,

[tex]A^{2} =\pi ^{2} (h^{2} +r^{2} )[/tex]

[tex]550^{2} = \pi ^{2} * ( h^{2} +7^{2} )\\[/tex]

3,36,875 = [tex]h^{2}+49[/tex]

[tex]h^{2}[/tex] = 3,36,875 - 49 = 3,36,826

h = 580.36 cm

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Which parts of the triangles are congruent in the image?

Answers

Answer:

B, C, E

Step-by-step explanation:

B is correct because it is written to the side and also because of the Definition of midpoint.

C is correct because HL and KI H and I are congruent just like L and K because of alternate interior angles.

E is correct because of the verticle angle theorum.

Perform the following operation. Write the answer in scientific notation.
0.008/40,000

(Use the multiplication symbol in the math palette as needed.)

Answers

Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002


Write an equation for the line parallel to the line 3/2x= -6 through the point (-6, 5).

Answers

The equation of the line parallel to the line, [tex]y=\frac{3}{2} x-6[/tex] through the point (-6,5) is [tex]3x-2y+28=0[/tex]

What are Parallel Lines?

Parallel lines are a grouping of two or more lines that all lie in the same plane but never cross. Parallel lines have the same slope.

What is Point-Slope Equation of Line?

The Point-Slope Equation of a straight line is given as, [tex]y-y_{1}=m(x- x_{1})[/tex].This method is useful in determining the equation of a straight line when the slope (m) of the line and a point [tex](x_{1}, y_{1})[/tex] are known.

Here, it is given that the equation of the line parallel to the given straight line is [tex]y=\frac{3}{2} x-6[/tex]  ----(1)

We know that the slope of parallel lines is equal.

So, the slope of (1) will be equal to the given line.

Writing (1) in the form of [tex]y=mx+c[/tex], we get

Slope, [tex]m=\frac{3}{2}[/tex]

Using the Point-Slope Equation of the line, we have

[tex]y-y_{1}=m(x- x_{1})[/tex]

Now, substituting the point (-6,5) in the place of [tex](x_{1}, y_{1})[/tex], we get

[tex]y-5=\frac{3}{2} (x- (-6))\\\implies 2(y-5)=3(x+6)\\\implies 2y-10=3x+18[/tex]

Simplifying, we get

[tex]3x-2y+18+10=0\\\implies 3x-2y+28=0[/tex]

Therefore, the equation of the given line is [tex]3x-2y+28=0[/tex]

Correct Question: Write an equation for the line parallel to the line y=3/2x-6 through the point (-6, 5).

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Kaitlyn has a least five purses (how to i solve that with signs and number?)

Answers

The solution when Kaitlyn has at least five purses using signs and number is N ≥ 5

How to write expressions with inequalities?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other.

When two expressions are equal, we use the equal sign ( = ). But when we are trying to compare two values or expressions, we use the inequality signs like greater than (>), less than (<), greater than or equal to ( ≥ ) and less than or equal to (≤)  

Given that: Kaitlyn has at least five purses

In order to solve this problem with signs and number, you will make use of the inequality that explains the situation:

Let the number of purses be N

Kaitlyn having at least five purses means she has 5 purses or more. Using inequality, the number of purses is greater than or equal to 5. Thus:

N ≥ 5

Therefore, the solution using signs and number is N ≥ 5

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Can you help me please and explain I don’t get this. *slope*

Answers

Answer:-5/1

Step-by-step explanation:

down 5 and over 1

to get the slope, find a spot on the graph and then go 1 to the right and read how much the graph went up or down.
on 5) you see it did neither, so m=0
when the graph goes up, m is positive, when it goes down, m is negative.
so on graph 1, you have 2 dots.
you go 2 right, and 4 down. when the dots are not 1 apart (counting going right)  then divide by the steps you went right.
4 divided by 2 is 2.
-> graph went down, slope for 1) is m = -2

graph 2) you go 2 right and 2 up, 2/2 = 1. you went up, so m is positive and m = 1 for this graph.

3) is undefined because it doesn't go anywhere when you go right, it's 100% vertical

4) m = -5 because you went 1 right and 5 down

5) you go 6 right between the dots and 4 down. m is negative because it went down, not up. so m = -(4/6)

Where does 1/6 land on a number line

Answers

Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

If the 21st and 22nd terms in the expansion of(1+x)⁴⁴ are equal find the value of x

Answers

Answer:

21st 22nd are equal so ×=0

se the distributive property to find an expression that is equivalent to 42x + 12 .

Answers

The equivalent expression using the distributive property is 6(7x + 2)

How to determine the equivalent of the expressions?

From the question, we have the following expression

42x + 12

Rewrite the given expression as follows

This is represented using

(42x + 12)

Factor out 2 from the expression

So, we have the following representation

42x + 12 = 2(21x + 6)

Factor out 3 from the expression

So, we have the following representation

42x + 12 = 2 * 3(7x + 2)

Evaluate the products

42x + 12 = 6(7x + 2)

The above represents the equivalent expression

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A 35-tooth gear on a motor shaft drives a larger gear having 63 teeth. If the motor shaft rotated at 900 rpm, what is the speed of the larger gear

Answers

If the motor shaft rotated at 900 rpm, the speed of the larger gear will be 100 rpm.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

it is given that, A 35-tooth gear on a motor shaft drives a larger gear having 63 teeth and the motor shaft rotated at 900 rpm.

The number of teeth on the smaller gear,n₂ = 35

The number of teeth on the larger gear,n₁ = 63

The gear ratio is obtained as,

n₁/n₂=63/35

n₁/n₂=9:5

If the motor shaft rotated at 900 rpm, The speed of the larger gear is,

=900 rpm / 9

=100 rpm

Thus, if the motor shaft rotated at 900 rpm, the speed of the larger gear will be 100 rpm.

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8. In the following diagram, the diameter of the circle is 15m. What is the distance between the chord and the edge of the circle?​

Answers

Answer:

7

Step-by-step explanation:

15-8

The equation y=2x represents a proportional relationship.

Select the true statement.



The graph is a curve


The y-intercept is 2


The slope is 2


The slope is 0

Answers

The slope of the line is 2 whose equation is given by y = 2x.

The given equation is y = 2x

The general equation of the line is given by

y = mx +c  where m is the slope and c is the intercept of the line.

The slope of line a line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run."

The intercept of the line is a  point on the y-axis known as an intercept is where the line's slope passes.

On Comparing the given equation with the general equation, we have:

m = slope = 2

Thus the slope of the line is 2.

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please help it is urgent
[tex]\frac{6x + 1}{6x - 4} - \frac{47 - 27 {x}^{2} }{5 {x}^{2} - 24} = \frac{5}{6} [/tex]
solve x​

Answers

Answer:

Soultion\left(x^2+\frac{7}{3}x-\frac{17}{3}\right)=3\left(x^2+\frac{7}{3}x+\frac{49}{36}-\frac{49}{36}-\frac{17}{3}\right)\quad :\quad x=-\frac{7+\sqrt{253}}{6},\:x=\frac{\sqrt{253}-7}{6} steps \left(x^2+\frac{7}{3}x-\frac{17}{3}\right)=3\left(x^2+\frac{7}{3}x+\frac{49}{36}-\frac{49}{36}-\frac{17}{3}\right) simplify -2x^2-\frac{14x}{3}+\frac{34}{3}=0.

Step-by-step explanation:

I got you my boy.

juan thinks the answer is between 5 and 6 melanie says the answer is between 3 and 4 who is correct [tex]\sqrt[3]{28}[/tex]

Answers

Answer:

28

Step-by-step explanation:

4,8,12,16,20,24,28. +4 every time


a) What are the coordinates of A?
b) What are the coordinates of B?

Answers

Answer:

coordinates of A are (-4.5, 2)

coordinates of B are (0, -3.5)

What is the slope of a line perpendicular to the line whose equation is 5x-y=-7. Fully simplify your answer.

Answers

Answer:

-1/5

Step-b-1/5y-step explanation:

The rule for a perpendicular slope of a line is -1/s

In this case, we find the slope of the line first.
5x - y = -7
-y = -5x - 7
y = 5x + 7

The slope is 5, so -1/(5) is the slope of the perpendicular line.

-1.25 + 2 1/5 + (-3.5)

Answers

Answer: -2.55

Step-by-step explanation:

Answer:

-2.55

Step-by-step explanation:

-1.25 + 2 1/5 + (-3.5) =

= -1.25 + 2.2 - 3.5

= 0.95 - 3.5

= -2.55

what is 33+900212323

Answers

Answer:

900212356

Step-by-step explanation:

The answer is 90021265
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