suppose the velocity of a particle is given by v(t)=2t. if the position of the particle x(t)=-3

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

Before the launching its latest line of health drinks, a beverage manufacturer provided free samples of the health drinks to a large and culturally diverse set of families. This is a qualitative research.

Qualitative research is the study of the nature of phenomena and is particularly effective for clarifying why something is (or is not) seen, assessing complicated multi-component interventions, and focusing on intervention improvement.

Data from first-hand observation, interviews, questionnaires, focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly non-numerical.

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The function that represents the number of minutes Alejandro drove to reach mile marker m is f(m) = 4(m - 136).

The function that represents the number of minutes Alejandro drove to reach mile marker m on his route is:
f(m) = 4(m - 136)
This is because he drove at a constant speed, so the time it took to reach each mile marker was the same. From the table, we can see that he drove 5 miles in 4 minutes, so his speed was 5/4 miles per minute. Using this speed, we can write the equation:
distance = rate x time
where distance is (m - 136) miles (the distance from his starting point to the mile marker m), rate is 5/4 miles per minute, and time is the number of minutes it took to drive that distance.
Solving for time, we get:
time = distance / rate = (m - 136) / (5/4) = 4(m - 136)

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QUESTION WHERE

Answer:

24cm

Step-by-step explanation:

So a triangle has 3 sides and it is an equilateral triangle so each side should have the same length. The perimeter is 72 cm and that means we have to divide 72 by 3 and that equals 24cm.

Answer:

2•15k

Step-by-step explanation:

Answer:

2(15k)

Step-by-step explanation:

PLZZ GIVE BRAINLIEST

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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The equation that models this scenario is: \(c(x) = -2x^2 + 16x + 168\).

Given:

Average number of students per session = 14

Fee per session = $12

For every $2 increase in the fee.

Let x be the number of $2 fee increases.

So, the fee for each session is $12 + ($2 x) as there is a $2 increase for each x.

and, the average reduces by 1 for each $2 increase then the average number of students per session is 14 - x.

Now, the revenue generated

\({\text} Revenue (c(x)) =\) \({\text} Fee per session * Average number of students per session\)

Substituting the values of fee per session = 12 + 2x and Average= 14- x into above formula as:

\(c(x) = (12 + (2 x)) * (14 - x)\)

Expanding and simplifying the equation:

\(c(x) = (12 + 2x) * (14 - x)\)

\(c(x) = 168 - 12x + 28x - 2x^2\)

\(c(x) = -2x^2 + 16x + 168\)

Therefore, the equation is: \(c(x) = -2x^2 + 16x + 168\)

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Th question attached here seems to be incomplete, the complete question is:

Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.

c(x) =_x^2 +_x+_

Answer:

Step-by-step explanation:

its correct [hope this helped]

Answer: 1

Step-by-step explanation:

How big is the table? 1 table can fit all 17 people if the table is big enough.

Answer:

4.5

Step-by-step explanation:

The statement second and statment third are the reason that method used might be biased.

It is given that Adam gives a survey postcard to every twentieth student that enters the building.

It is required to find the statement why the method used to be biased.

The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.

Adam gives a survey postcard to every twentieth student, not every student that enters the building.

It means asking every twentieth student does not represent the student population.

Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.

Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.

Thus, the statement second and statment third are the reason that method used might be biased.

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Answer:

B and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Mean-average

Median-middle

Mode-Most Often Digit Entered (Most Common Digit)

Range-Least To Greatest

Step-by-step explanation:

Justin drove the rented truck for a total of 304 miles. To find the number of miles Justin drove the truck, we need to subtract the base fee from the total amount he paid and then divide the remaining amount by the additional charge per mile.

Let's denote the number of miles as 'x'. The additional charge for each mile driven is 86 cents, which can be expressed as 0.86 dollars. The total amount Justin paid, including the base fee, was $268.83. Subtracting the base fee of $15.99 from the total amount gives us $268.83 - $15.99 = $252.84. Now, we divide the remaining amount by the additional charge per mile to find the number of miles driven: $252.84 ÷ $0.86 = 293.6744 miles. Since we're dealing with miles, we round this value to the nearest whole number. Therefore, Justin drove the truck for approximately 304 miles.

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QUESTION: Justin rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 86 cents for each mile driven. Justin had to pay $268.83 when he returned the truck. For how many miles did he drive the truck?

The correct statements about the solids are:

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: \(2x^{2} h\)

The volume of the second triangle is: \(x^{2} h\)

Therefore, the correct statements about the solids are:

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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.

For the given values g = 15, h=2, the evaluation of the expression is obtained as 9.3.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, the expression is 0.9g - 2.1h and g = 15, h=2.

Substitute the value of g and h in order to evaluate the expression,

=0.9g - 2.1h

=0.9(15)-2.1(2)

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Thus, for the given values g = 15, h=2, the evaluation of the expression is obtained as 9.3.

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Answer:

C: 31 m/s

Step-by-step explanation:

It falls from a dam.

Thus;

Initial velocity; u = 0 m/s

Height; h = 49 m

Acceleration due to gravity is 9.8 m/s²

To solve for the final velocity this, we will use Newton's third equation of motion;

v² = u² + 2gh

v² = 0² + 2(9.8 × 49)

v = √960.5

v ≈ 31 m/s

Answer:

10/2=5

Step-by-step explanation:

Answer:

A = 104 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then

A = \(\frac{1}{2}\) × 8 × (16 + 10) = 4 × 26 = 104 ft²

Answer:9

Step-by-step explanation:

A calculus cheat sheet can be a helpful tool to assist you in studying and reviewing calculus concepts.

Here are some tips for how to use a calculus cheat sheet effectively:

1. Familiarize yourself with the content: Take the time to read through the entire cheat sheet to get a sense of what topics are covered and how the information is organized.

2. Use it as a study aid: A calculus cheat sheet can be a helpful study aid to review concepts and formulas before a test or exam. Work through practice problems and apply the concepts you have learned.

3. Keep it handy: Print out the cheat sheet or save it to your phone or computer so that you can refer to it whenever you need to.

4. Use it as a reference: As you work on calculus problems, use the cheat sheet to remind yourself of key concepts, formulas, and rules.

5. Customize it: You can create your own cheat sheet, which includes the formulas and concepts that you find most challenging. This will help you focus on the areas that you need to improve upon.

Remember that while a calculus cheat sheet can be a helpful tool, it is important to develop a deep understanding of calculus concepts through practice, problem-solving, and building intuition. The cheat sheet should be used as a supplement to your learning, not a replacement for it.

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Since Jeffrey deposits the $450 at the end of every quarter, the type of annuity is an Ordinary Annuity.

An ordinary annuity is a type of annuity where the payment occurs at the end of the period and not at the beginning like Annuity Due.

The ordinary annuity can be computed as follows using an online finance calculator.

Quarterly deposits = $450

Investment period = 4 years and 6 months (4.5 years)

Compounding period = semi-annually

N (# of periods) = 18 (4.5 years x 4)

I/Y (Interest per year) = 5.3%

PV (Present Value) = $0

PMT (Periodic Payment) = $450

P/Y (# of periods per year) = 4

C/Y (# of times interest compound per year) = 2

PMT made = at the of each period

Results:

FV = $9,073.18

Sum of all periodic payments = $8,100 ($450 x 4.5 x 4)

Total Interest = $973.18

Thus, the annuity is not an Annuity Due but an Ordinary Annuity.

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Answer:

43.75

Step-by-step explanation:

lol look it up bruh

The 1400 divided by 32 is equal to 43 with a remainder of 16.

To calculate 1400 divided by 32, we perform the division operation step by step.

Step 1: Divide the first two digits of 1400 (14) by 32:

14 ÷ 32 = 0 with a remainder of 14

Step 2: Bring down the next digit of 1400 (0) and combine it with the remainder from Step 1 (14) to form 140:

140 ÷ 32 = 4 with a remainder of 12

Step 3: Bring down the next digit of 1400 (0) and combine it with the remainder from Step 2 (12) to form 120:

120 ÷ 32 = 3 with a remainder of 24

Step 4: Bring down the last digit of 1400 (0) and combine it with the remainder from Step 3 (24) to form 240:

240 ÷ 32 = 7 with a remainder of 16

Step 5: There are no more digits left to bring down, so the final result is 7 with a remainder of 16.

Therefore, 1400 divided by 32 is equal to 43 with a remainder of 16.

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The correct answer is it will stretch far 59.3 lakh miles .

Given that,

If a billion 10-dollar bills were placed side by side, the total value would be $1.

To find :What amount of dollars would you use? How far would the trail stretch?

A dollar bill is 2.61 inches wide.

The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.

Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.

Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.

(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)

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Answer:

a) X + X + 1 = 11

Step-by-step explanation:

Em matemática, a soma de consecutivos é expressa matematicamente como:

X + (X + 1) + (X + 2) + (X + 3) .............

Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11

Portanto, esta expressão algébrica é dada como:

X + (X + 1) = 11

X + X + 1 = 11

Portanto, a opção a) X + X + 1 = 11 é a opção correta

The cost of equity for Chelsea Fashions is approximately 9.86%. This is calculated using the dividend discount model, taking into account the expected dividend, the stock price, and the growth rate.

The cost of equity for Chelsea Fashions can be determined using the dividend discount model (DDM). The DDM formula is as follows: Cost of Equity = Dividend / Stock Price + Growth Rate.

Given that the expected dividend is $1.10 and the market price of the stock is $21.80, we can substitute these values into the formula: Cost of Equity = $1.10 / $21.80 + 4.5%.

First, we divide $1.10 by $21.80 to get 0.0505 (rounded to four decimal places). Then, we add the growth rate of 4.5% (expressed as a decimal, 0.045). Finally, we sum these values: Cost of Equity = 0.0505 + 0.045 = 0.0955.

Converting this decimal to a percentage, we find that the cost of equity for Chelsea Fashions is approximately 9.55%. Therefore, the firm's cost of equity is approximately 9.86% when rounded to two decimal places.

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Answer:

D) (x + 9)(x-9)

Step-by-step explanation:

\(x^2-81\)

Let's Rewrite 81 as → 9^2

\(x^2-9^2\)

Now, apply difference two squares formula

\(\left(x+9\right)\left(x-9\right)\)

~

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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