A charged particle is projected in the air such that its horizontal (x) and vertical (y) shifts are given by x(t) = 10t − t2 and y(t) = 6t, where x and y are in meters and time t is in seconds. What is the ratio of y to x at t = 4 seconds?

Answers

Answer 1

[tex]\bf \stackrel{ratio}{y:x}\implies \cfrac{y}{x}\implies \left. \cfrac{6t}{10t-t^2} \right|_{t=4}\implies \cfrac{6(4)}{10(4)-(4)^2} \\\\\\ \cfrac{24}{24}\implies \cfrac{1}{1}\implies \stackrel{ratio}{1:1}[/tex]

Related Questions

Choose an equation for the relationship between the measures of the segments, angles, and arcs.

Answers

The answer would be the first one, (Angle QPT is equal to 1/2 (QT -QS). You would just need to use and input in the formula that finds angle measurements based on far and near arcs.

Three-fourths of an inch on a map equals 750 miles. what would one inch equal?

Answers

Final answer:

One inch on the map is equal to 1000 miles.

Explanation:

To find what one inch would equal on the map, we can set up a proportion using the given information. We know that three-fourths of an inch on the map equals 750 miles. Therefore, the proportion would be: 3/4 inch = 750 miles. To find what one inch would equal, we can cross multiply and solve for the missing value:

3/4 inch * 1 inch = 750 miles * 1 inch

Simplifying, we get: 3/4 = 750 miles * 1 inch

Dividing both sides by 3/4, we get: 1 inch = (750 miles * 1 inch) / (3/4)

Simplifying further, we find that one inch on the map is equal to 1000 miles.

Can someone please help me with this question?! (geometry)

Answers

Answer:

see below

Step-by-step explanation:

The arc length (s) can be found in terms of angle (θ) and radius (r) as ...

s = rθ

Dividing by r gives ...

s/r = θ

Since the angles are the same for the two circles, the ratios of interest are ...

[tex]\dfrac{s_1}{r_1}=\dfrac{s_2}{r_2}=\theta [/tex]

Which inequality represents the following sentence?
Twelve fewer than a number is at least 18.

12 + x ≤ 18
x – 12 ≥ 18 (This one correct?)
12 – x ≥ 18
x – 12 < 18,

Answers

x – 12 ≥ 18 Let's break down the sentence and create an inequality from it. We'll use X to represent the number. "Twelve fewer than a number is at least 18." The "Twelve fewer than a number" indicates subtraction, so let's do that. X - 12 "is at least 18." would be a greater than or equal relationship. So we have X - 12 ≥ 18 And we're done. The desired equation is: x – 12 ≥ 18

Answer:

B) x - 12 ≥ 18.

Step-by-step explanation:

Given : Twelve fewer than a number is at least 18.

To find : Which inequality represents the following sentence?.

Solution : We have given

Twelve fewer than a number is at least 18.

Let the number be x .

According to question :

Twelve is less than a number x .

x - 12 ( negative sign used for fewer).

x - 12 ≥ 18.

Here we used greater than equal to sign because x- 12 is at least 18 mean is must be 18 or greater than 18.

Then equation become x - 12 ≥ 18.

Therefore, B) x - 12 ≥ 18.

what is the range of y=3cosx-1?
a) -4 ≤ x ≤ 4
b) -4 ≤ x ≤ 2
c) -3 ≤ x ≤ 3
d) -2 ≤ x ≤ 0

Answers

For this case we have the following equation:
[tex]y = 3cosx-1 [/tex]
We must find the maximum and minimum values of the equation to find the range.
We have then:
For x = 0
[tex]y = 3cos (0) -1 y = 3 (1) -1 y = 3-1 y = 2[/tex]
For x = pi
[tex]y = 3cos ( \pi ) -1 y = 3 (-1) -1 y = -3-1 y = -4[/tex]
The range of the function is given by:
[-4, 2]
Equivalently,
-4 ≤ x ≤ 2
Answer:
b) -4 ≤ x ≤ 2

Answer: The correct option is (b) [tex]-4\leq y\leq 2.[/tex]

Step-by-step explanation: We are given to select the correct range of the following function

[tex]y=3\cos x-1.[/tex]

We know that the range of the cosine function is from - 1 to 1.

That is,

[tex]-1\leq \cos x\leq 1\\\\\Rightarrow -(1)\times 3\leq 3\times \cos x\leq 3\times 1\\\\\Rightarrow -3\leq 3\cos x\leq 3\\\\\Rightarrow -3-1\leq 3\cos x-1\leq 3-1\\\\\Rightarrow -4\leq 3\cos x-1\leq 2\\\\\Rightarrow -4\leq y\leq 2.[/tex]

Thus, the range of the given function is [tex]-4\leq y\leq 2.[/tex]

Option (b) is CORRECT.

One gallon of paint usually covers about 350 square feet. How many square feet will 2.5 gallons cover? Show your work, including labeling your answer with the appropriate units of measure.

Answers

350 sq ft/gal * 2.5 gal = 875 sq ft

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can walk 8 miles in 2 hour

In one hour, the man can walk for 4 miles

We have,

One gallon covers 350 square feet.

This can be written as:

1 gallon = 350 square feet

Multiply both sides by 2.5.

2.5 x 1 gallon = 2.5 x 350 square feet

2.5 gallons = 875 square feet

Thus,

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

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PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

Hey There!

Simplify the expression. See photo. Answer is B.

Cheers,
Izzy

The Anser is d: 12/cd^-6

What’s 100-((10x7)+(5x7-5)

Answers

100-70+30=60 hope this helps. Answer is 60. Oh wait, if that's an extra bracket, it could be 100-(70+30)=0

Answer:

the answer 60

Step-by-step explanation:

First I did 10x7 which equals 70, Second I did 5x7 which equals 35 and then subtracted 5 to get 30, Third I did 100-70 to get 30 and than I did 30+30 to get 60.

Which of the equations below shows the relationship in the table? [X] [15] [5] [3] [1] ------------------------------------------ [Y] [1] [3] [5] [15]] A. y = 15x B. y = x - 14 C. y = x + 2 D. y = 15 x

Answers

y=15/x or xy=15 it seems that a should be 15/x

triangle abc is an isosceles right triangle. what is the measure of a base angle

Answers

If it is right triangle which has 90 degree the other two will have 45 degrees each

Answer:

The measure of the base angle = 45°

Step-by-step explanation:

For better explanation of the solution see the attached figure of the diagram :

Given : An isosceles right triangle ABC

To find : Measure of the base angle

Solution :

Since, The triangle is right angle triangle.

⇒ m∠B = 90°

Also, ΔABC is an isosceles triangle

So, AB = BC

Now, Angles opposite to equal sides are equal

⇒ m∠A = m∠C

Now, Using Angles sum property of a triangle

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠C + 90° + m∠C = 180°

⇒ 2m∠C = 180° - 90°

⇒ 2m∠C = 90°

⇒ m∠C = 45°

Hence, The measure of the base angle = 45°

How do you determine if two lines are perpendicular?

Answers

Two lines are perpendicular if they intersect with one another to form a right angle. :)

Sally has completed 1/3 of her shift; Jerry has completed 5/6 of his shift; David has finished 1/2 of his shift; Mona has 7/8 of her shift remaining. Out of the four employees, Who has completed the most work time?

Answers

Jerry completed the most work time.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Sally has completed 1/3 of her shift.

Jerry has completed 5/6 of his shift.

David has finished 1/2 of his shift.

Mona has 7/8 of her shift remaining.

Now,

Since, Mona has 7/8 of her shift remaining.

Hence, The time for Mona = 1 - 7/8

= 1/8

We make all the denominator equal by taking LCM of 3, 6, 2, 8.

Thus, LCM of [3, 6, 2, 8] = 24

Hence, Sally has completed 8/24 of her shift.

Jerry has completed 20/24 of his shift.

David has finished 12/24 of his shift.

Mona has completed 3/24 of his shift.

Clearly, Jerry completed the most work time.

Thus, Jerry completed the most work time.

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Please help! How many ways can a cook arrange 7 or 10 spice jars on a spice rack?

A. 720
B. 604,800
C. 5,040
D. 120

Answers

i think its C.or A. Im not sure

A will be your answer

Please help ASAP! 16 points

Answers

The y-intercept is 28, while the slope is
[tex] - \frac{9}{2} [/tex]
I did this by moving the x to left, then dividing everything by 4.

Can not figure out the slope but the Y-intercept is 28

I will fan and medal!!! PLEASE
A gray-scale digital camera with 1,000,000 pixels takes a picture (the picture is made of 1,000,000 parts and each part has a certain amount of gray). A histogram is made where the data is the amount of gray in each of these parts. The histogram looks bell-shaped with a mean of 125 gray levels and a standard deviation of 15.

How many pixels are brighter than 163 gray levels?

5000
10,000
160,000
50,000

Answers

To find the number of pixels brighter than 163 gray levels in a digital camera histogram, calculate the Z-score and use it to determine the percentage of values above that score, resulting in 160,000 pixels.

A gray-scale digital camera with 1,000,000 pixels has a histogram with a mean of 125 and standard deviation of 15 gray levels. To find the number of pixels brighter than 163 gray levels, first calculate the Z-score for 163: Z = (163 - 125) / 15. Then, use a Z-table or calculator to find the percentage of values above this Z-score, which corresponds to the number of pixels brighter than 163.

The answer to the question is 160,000 pixels brighter than 163 gray levels.

The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle

Answers

a and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
given c = 6 in., a = 2 in.
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {6}^{2} = {2}^{2} + {b}^{2} \\ {b}^{2} = {6}^{2} - {2}^{2} = 36 - 4 \\ \sqrt{ {b}^{2} } = \sqrt{36 - 4} = \sqrt{32} [/tex]
[tex]b = \sqrt{32} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2} \\ b = 5.66 \: inches[/tex]
So the three side are 2, 6, and 5.66 inches

Answer:

(square root) 30

Step-by-step explanation:

I don't know if that's right I'm taking this test right now it might be wrong sorry if its wrong lol

HELP! Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .

∠1 and ∠3 are vertical angles.

∠2 and ∠4 are vertical angles.

m∠1=70°

What is the measure of ∠2 ?

Answers

Answer: 110 degrees

------------------------------------------------------------------

Angle 2 is supplementary with angle 1, as they form a straight angle
This means the two angles add to 180 degrees

(angle 1) + (angle 2) = 180
(70) + (angle 2) = 180
angle 2 = 180 - 70
angle 2 = 110 degrees

Which of the following are among the five basic postulates of Euclidean geometry?

Check all that apply.
A. All equilateral triangles are also equiangular.
B. A circle can be drawn with any center and radius.
C. Through a point not on a given line, there is exactly one line parallel to the given line.
D. All right angles are equal to one another.

Answers

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

From the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

The five basic postulates of Euclidean geometry

The five (5) basic postulates are:

Any straight line segment is drawn from any point to another.Any straight line can be drawn and extended to any finite length.Circles are drawn given a center and radius.Right angles are always congruent.If a given point is not on a given line, there exist a line that is parallel to the given line.

Therefore, from the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

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-21 - 7x = 8x + 24 How do you solve this?

Answers

-21 - 7x = 8x + 24
add 21 to both sides

-7x= 8x + 45
subtract 8x from both sides

-15x= 45
divide both sides by -15

x= -3

Hope this helps! :)

A garage contains a combination of 20 bikes and tricycles. In total, there are 44 wheels. How many bikes and how many tricycles are in the garage.

Answers

Final answer:

The solution explains how to find the number of bikes and tricycles in a garage based on the total number of wheels and the given combination.

Explanation:

The question: A garage contains a combination of 20 bikes and tricycles. There are a total of 44 wheels.

Step-by-step solution:

Let's denote the number of bikes as B and the number of tricycles as T.

Each bike has 2 wheels, so the total number of wheels contributed by the bikes is 2B.

Each tricycle has 3 wheels, so the total number of wheels contributed by the tricycles is 3T.

Given that the total number of wheels is 44, we can form the equation: 2B + 3T = 44.

Since there are 20 bikes and tricycles in total, we have the equation: B + T = 20.

Solving the system of equations, we find that there are 12 bikes and 8 tricycles in the garage.

Melinda goes blowing on Saturday afternoon. She bowls three games nand pays for shoe rental. Define a variable and write an expression to represent the total cost Melinda pays. Then find the total cost if one game cost 4$

Answers

x= cost, s=shoes, g= game
x=s+3(g)
x=s+3(4)—> cost is 12$ plus whatever the price of shoes

Which two equations would be most appropriately solved by using the zero product property?

Select EACH correct answer.

Which two equations would be most appropriately solved by using the quadratic formula?

Select EACH correct answer.

Answers

for the zero product property questions it's choices 2 and 3 since they're quadratics factored and set equal to zero.

for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions

Answer:

1 - B and C

2 - B and C

Step-by-step explanation:

Ques 1: We know that,

Zero Product Property states that 'If ab=0, then either a=0 or b=0 or both are zero'.

So, from the options, we see that,

The equation [tex](x-3)(x+4)=0[/tex] can be solved using this property.

Also, the equation [tex]2x^2+6x=0[/tex] can be simplified to [tex]2x(x+3)=0[/tex].

So, this [tex]2x(x+3)=0[/tex] can also be solved by the given property.

Since, the other options cannot be factorized.

Hence, the correct options are B and C.

Ques 2: We know that,

The quadratic formula is used to solve find the solution of the quadratic equation of the form [tex]ax^2+bx+c=0[/tex].

So, from the options, we see that,

The equations [tex](x-3)^2=36[/tex] and [tex](x+8)(x+9)=0[/tex] can be solved directly by using the 'Zero Product Property'.

The other equations cannot be solved directly and would be solved using the quadratic formula.

Hence, the correct options are B and C.

8.
A particular sound wave can be graphed using the function y = –3 sin x. Find the period of the function.

period = 2pi
period = –3
period = 3
period = 1/2

Answers

Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.

The period for a sine function is always 2pi/a where y=sin ax
If y= 3sinx then a=1 so 2pi/1=2pi
2pi =period

Find sec θ if θ is in Quadrant IV and sinθ=-1/5

Answers

we know that
sec θ=1/cosθ
if θ is in Quadrant IV--------------> sec θ is positive, because the cosθ is positive
sinθ=-1/5
sin²θ+cos²θ=1--------------> cos²θ=1-sin²θ-----------> 1-(1/5)²=24/5
cosθ=√(24/5)----> 2√6/√5
secθ=1/cosθ--------> 1/(2√6/√5)---------> √5/(2√6)=√30/12

the answer is secθ=√30/12

Answer:

i got the answer 5(sqrt6)/12

HELP PLEASE!!
Which is greater, the total volume of three spheres, each of which has a diameter 3 in., the volume of one sphere that has a diameter 8 in., or the volume of a hemisphere with a diameter of 9 in.?
a) The volume of three spheres, each with a diameter of 3 inches, is greater.
b) The volume of one sphere with a diameter of 8 inches is greater.
c) The volume of the hemisphere with a diameter of 9 in. is greater.
d) The two volumes are the same.,

Answers

Volume of the Sphere V = 4/3pi x r^3 So when diameter d = 3 inches => r = 1.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in So when diameter d = 8 inches => r = 4 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in So when diameter d = 9 inches => r = 4.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in value for option (a) is 3 x 14.14 = 42.42 inches value for option (b) is 268.03 inches value for option (c) is 381.63 / 2 = 190.815 inches So the correct option would be (b)

Answer:

Step-by-step explanation:

Answer:

Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.

1. find the SA of a grape fruit with a c of 14cm.

62 cm^2

2. a sphere has a volume of 900 ci. find SA

451

3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere

391.7

4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube

102.9

5. find the v in terms of pi of a sphere with a SA of 9 pi square feet

9/2 pi ft^3

6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in

the v of 1 sphere with a diameter of 8 in is greatest

7. a sphere has center 0 0 0 and a radius of 5

0 -3 4

8. find v of figure the diameter of the base is 4 cm

46/3 pi cm^3

9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere

6 pi

10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between

69 square inches

Step-by-step explanation:

State whether the relationship between the variables in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it.
x=3,9,13,20
y=9,27,39,60

I know it's direct but how do I write a function model to it?,

Answers

The variation is a direct variation, and the function to model it is y = 3x

From the table, we can see that:

The y values are calculated by multiplying the corresponding x values by 3

Take for instance;

When x = 3, y = 9

When x = 9, y = 27

Using the above pattern, the function to model the table is y = 3x

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Answer:

B. Neither

Step-by-step explanation:

Please help with 2 questions thank you.

Answers

1) m∠1 = 360°/8 = 45° . . . . . a regular octagon is 8-way rotationally symmetrical, so each sector is 1/8 of a circle.

2) m∠2 = (180° -45°)/2 = 67.5° . . . . . . the angles of a triangle add to 180°. The base angles of an isosceles triangle are equal.

Just need an answer

Answers

I believe it is: n > -4.

Hope this helps!

The answer is n < -4 on MathHelps. Good luck.

Divide a six-sided polygon into triangles to find the sum of its interior angles.

A.360 degrees
B. 900 degrees
C. 1080 degrees.
D. 720 degrees

Answers

the answer is C. 1080. i got this by multiplying 180 by 6.

Hello, the answer would be C. 1080. Hope this helps you, i am a geometry teacher.

Which operation is NOT closed for polynomials?
A) (x3 + 8x − 5) (x4 + 6x + 2)
B) (x2 + 4x − 5)(8x2 + 3x − 6)
C) (6x2 + 2x − 3) + (x2 − 5x + 4)
D) −(2x2 + 2x − 5) − (x2 + 2x + 9)

Answers

Answer: All of the operations that you have listed will produce a polynomial. Therefore, they are all closed for polynomials. (Did you have a typo?)

When we say an operation is closed for a particular problem, we mean that the resulting answer is of the same type as at the beginning.

In these cases, we are starting with polynomials in each problem. After performing the operations, we still have polynomials. Therefore, they are all closed.

Answer:

Step-by-step explanation:

You had a typo with A, and I think that is the answer as well, seeing as you typed all of your other answers correct, and none of them were labeled open by the first answerer, despite the typo.

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Which of the following represents a chemical change. A water to boiledB Paper is tornC Glass is shatteredD Wood is burned how do you solve:18(18)=x(x+15) :(( Pls help!! Chantel would like to buy a new pair of running shoes. The shoes she likes start at $85. She has already saved $62, write an inequality to show how much more money Chantal must save. Which of the following statements is true of taking responsibility? A. If you correct a mistake quickly, no one else needs to know about it. B. You can't expect people to respect you if you make too many mistakes. C. Blaming another for your mistake is sensible when your accusation can be proven. D. You're unlikely to get control of your life when you blame others for your mistakes. what is the factored form of the expression? w^2 + 12w + 36 Which sentence contains a hyphen error? About one third of my friends have pet dogs. It is a well known fact that the earth revolves around the sun. We used one-half cup of chopped onions in the recipe. It will be chilly later, so bring your blue-green sweater. Who is the most popular anti-Stratfordian candidate today? Edward de Vere Christopher Marlowe Francis Bacon Queen Elizabeth William Shakespeare NEED HELP PLEASEMAP DOWN BELOWMap and Diagram Activity: Using the maps below, please respond to the following questions. Select the answer that best fits by highlighting or changing the color of the answer you wish to select.Using the map above, how many languages were spoken in Eastern Europe leading into World War One? A. 2B. 12C. 8D. None of the AboveBy 1914, there were several new, independent countries in the Balkans. Which country/countries fit this designation?A. SerbiaB. BulgariaC. RomaniaD. All of the Above How many feet are in 100 meters if 1 meter is 1.09 yards? Will mark brainliest if you include clear steps. Thank you! During World War II, people were MOST likely to relocate to find work in what part of the United States? What is the magnitude of the electric force on an electron in a uniform electric field of strength 2050 n/c that points due east? 1) Latricia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season?a) 15b)75c) 150d)200 Sabrina has designed a rectangular painting that measures 55 feet in length and 30 feet in width. Alfred has also designed a rectangular painting, but it measures x feet shorter on each side. When x = 3, what is the area of Alfred's painting? Read the excerpt from The Odyssey.Reaching the gate, Odysseus and the forester halted and stood outside, for harp notes came around them rippling on the air as Phemios picked out a song. Odysseus caught his companion's arm and said:"My friend, here is the beautiful placewho could mistake it?In this excerpt, the harps music is a symbol of Odysseuss What is the value of x?Enter your answer, as a decimal, in the box. In lines 175-177 of Scene 5, Hamlet tells Horatio and Marcellus that he might soon have to pretend to act strangely. What does this comment suggest about how he will try to carry out his revenge? Which description best describes the graph?A graph is shown. A straight line begins at the upper left side of the coordinate plane and moves down towards the right side. The line crosses the y-axis at y equals 3 and the x-axis at x equals 1.5 Linear increasing Linear decreasing Nonlinear increasing Nonlinear decreasing Which molecule has the same shape and hybridization as methane Details are in the photo below What are/were the political hurdles in passing the bill into law?