6.478×18.21 Multiply the equation

It will take a time of n/60m minutes for the jetski to cover n metres at the same speed.

Speed = distance/ time

Speed = m/s

For the distance of n meters.

distance = speed * time

n = m/s*time

n = m /s* time

Time = n(m/sec)

Time = n/m * sec

Time = n/60m min

Thus, it will take  n/60m minutes for the jetski to cover n metres at the same speed.

To know more about the linear speed, here

https://brainly.com/question/14718941

#SPJ4

Answer:

10

Step-by-step explanation:

By the Pythagorean Theorem:

\(c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10\)

Hope this helps!

Answer:

volume = 326.21

Step-by-step explanation:

a base side = 13cm

b base side = 12cm

c base side = 22cm

h height = 5cm

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

To know more about area,

https://brainly.com/question/31479047

#SPJ11

Answer:

x = 10

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°

(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°

4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°

Add like terms

33x + 30 = 360°

Subtract 30 from both sides

33x = 330°

x = 10

Answer:

10

Step-by-step explanation:

we should note that the sum of angles of a quadrilateral is equal 360°

therefore,

(4x+23)+(16x+15)+(6x-5)+(7x-3)=360

30 +33x= 360

33x= 360-30

33x= 330

dividing through by 33

x= 330/33

x= 10

Answer:

71.7

Step-by-step explanation:

If you draw out a picture and visualize it, you will be able to see that you need to use inverse cosine to solve this. Plug in cos^-1 (2.2/7) and you will get 71.7 as your answer.

Answer:

71.7 degrees

Step-by-step explanation:

The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

To know more about electric force, here

https://brainly.com/question/29141236

#SPJ4

--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:

all of them are the layer of earth

Step-by-step explanation:

if it is about spelling its b, because there is no "other core" instead there is outer core

Answer:

P = 16w - 4

Step-by-step explanation:

P = (5w-2 + 3w)2

P = (8w-2)2

P = 16w - 4

In hypothesis testing, the null hypothesis (H0) is a statement that there is no significant difference between two groups, or that a certain parameter is equal to a specified value. In this case, the null hypothesis is that the mean difference is 0, meaning there is no significant difference between the two groups being compared.

The alternative hypothesis (Ha), on the other hand, is a statement that contradicts the null hypothesis. It can be one-tailed (directional), indicating that the mean difference is greater than or less than 0, or two-tailed (non-directional), indicating that the mean difference is not equal to 0. So, to determine the null and alternative hypotheses in this case, we know that the null hypothesis is that the mean difference is 0. The alternative hypothesis can be either one of the following:
- Ha: The mean difference is not equal to 0 (two-tailed)
- Ha: The mean difference is greater than 0 (one-tailed)
- Ha: The mean difference is less than 0 (one-tailed)

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ11

Answer:

1) I think its helps to rename a function as tenths or hundredths when you want to write the decimal equivalent because for example if you wanted to rename this function 6/25 to 24/100 you can know were you put it in decimal (0.24).

2) It was a good idea to change 4/16 to 1/4 to determine a decimal equivalent because it would be easier to put 1/4 in a decimal equivalent.

3) You write the decimal 0.12 as 3/25

4) I dont know...sorry that I cant help with this...I dont know the answer to this question

Step-by-step explanation:

Answer:

59.322% or 59%

Step-by-step explanation:

devide 59,000 from 35,000 to get the answer.

After that, you will get 59% (rounded).

the answer is D (59.3%)

i jus got done takin the math quiz on knowledgematters

Answer:

d -x=y the awnssr may not be correct but I tried so

Answer:

y = (x-10 / 5) - 1

Step-by-step explanation:

Hope this helps :)

Answer:

y=1/5x-3

Step-by-step explanation:

y+1=1/5(x-10)

y=-1 +1/5(x-10)

y= -1 +1/5x-2

y=1/5x-3

Answer:

\((x-2)^2=4(y+5)\)

Step-by-step explanation:

The standard form of a parabola with a vertical axis of symmetry is given by the formula:

\(\boxed{(x-h)^2=4p(y-k)}\)

where:

From inspection of the given graph:

Therefore:

Use the formula for the directrix to find the value of p:

\(\implies k - p = -6\)

\(\implies -5 - p = -6\)

\(\implies -5 - p +5= -6+5\)

\(\implies -p = -1\)

\(\implies p=1\)

Substitute the found values of h, k and p into the formula:

\(\implies (x-2)^2=4(1)(y-(-5))\)

\(\implies (x-2)^2=4(y+5)\)

Therefore, the correct standard form of the equation of the parabola is:

\(\boxed{(x-2)^2=4(y+5)}\)

Step-by-step explanation:

answers...................

Answer:

the 2nd one

Step-by-step explanation:

hope this helped!

p.s it would be cool if you would give me brainliest

Answer:

A.  9.7 x 10^3

Step-by-step explanation:

  3.6 × 10^3

+ 6.1 × 10^3

  9.7 x 10^3  

Answer:

Hi there!

Your answer is:

26.46$ selling price

Step-by-step explanation:

.08 markup

Original price= 24.5

24.5+ (.08*24.5)

26.46$

Answer:

x = 110°

Step-by-step explanation:

Triangle ABD is isosceles, with two 35° angles

angle x = (180-35-35)° = (180-70)° = 110°

Hope this helps

Answer:

a= 1

b= 3

c= 2

d= 2

e= 6

f= 8. These are the answers for the question. Love from Gauthmath

The standard exponential function is expressed as y =ab^x. The values of the variables are: b = c = 3, a = 1, d = 2,e = 6, f = 9

The standard exponential function is expressed as:

y =ab^x

wherex is the exponent

a is the base

According to the question, we are to fill the given table based on the given exponential functions.

If the exponential function is 2^x

a = 2^0 = 1

d = 2^1 = 2

If the exponential function is 3*2^x

b = 3* 2^0 = 3

e = 3 * 2^1 = 6

If the exponential function is 2^3x

c = 3^2(0) = 3^1 = 3

f = 3^2(1) = 3^2 = 9

Learn more on exponential function here: https://brainly.com/question/2456547

#SPJ5

5x+260 < 300 will represent the inequality that can continue to take in cats without exceeding its occupancy.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.  

Given that, a cat adoption facility takes in an average of 5 cats per day. The facility has to keep their cat occupancy below 300. Currently, the facility has 260 cats, we need to establish an inequality to represent this situation,

Let, x be the number of days.

Therefore, the structure of the inequality will be,

Cats per day × number of days + Cats already in facility < Cat occupancy

Therefore, the inequality is =

5x+260 < 300

Hence, 5x+260 < 300 will represent the inequality that can continue to take in cats without exceeding its occupancy.

Learn more about inequality, click;

https://brainly.com/question/28823603

#SPJ1

Answer:

A

Step-by-step explanation: because when you say its closer to 0 thats right

Answer:

A

Step-by-step explanation:

Hope this helps anybody <33

(Entered this on my test and it was correct !!)

Answer:

QPR=22

Step-by-step explanation:

angles on straight line are supplementary

Answer:

answers are in order

Step-by-step explanation:

65, 24, 16, 41

hope this helps!!!!!

In the a/b/c classification of analytical queuing models, the term g refers to a general distribution with mean and variance.[TRUE]
Common Queue Model Notation ( A / B / C );( D / E/ F )
 Where :
 A = distribution of time between arrivals (arrival distribution)
 B = service time distribution
 C = number of service channels/service facilities in the system (s = 1, 2, 3, … , ∞)
 D = queuing discipline
 E = size of population or resource
 F = maximum number of consumers allowed in the system (in service plus waiting line)
Information :
 1. For A and B, the following codes can be used:
 M = Poisson distribution or exponential distribution (Markovian)
 D = Degeneracy Distribution (constant time)
 Ek = Erlang distribution
 G = General distribution
 2. For C, a positive integer is used which represents the number of services.
 3. For D, use the replacement codes FIFO, LIFO, or SIRO.
 4. For E and F, use the code:
 N = Limited quantity
∞ = Infinity

For example, queuing system M/M/1 means Poisson distribution for arrival and Exponential distribution for service time and one server. Queuing system M/M/2 has customers arrive according to Poisson distribution with Exponential distribution for service time and the system has two servers. Queuing system M/D/3 indicates that the customers arrive according to Poisson distribution while the service time is constant with 3 servers.

More comprehensive Kendall notation consists up to 6 letters: a/b/c/d/e/ff

Learn more about analytical queuing models at https://brainly.com/question/15908720.
#SPJ4

An equation is two expressions that are equal to each other

2x + 5 = 10

The above is an example of an equation

The number of years the boat will worth half the original value is 4.3 years.

Time is the measured or measurable period during which an action, process, or condition exists or continues.

To calculate the number of years the boat will worth half the original value, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for n

Take the logarithm of both side

Hence, the number of years is 4.3 years.

Learn more about time here: https://brainly.com/question/25800303

#SPJ1

Answer:

8

Step-by-step explanation:

the volume of a box is L x W x H

so if you take the length x height, you can divide the volume by that to get your width.

hope this helps!! :)

The width of the rectangular box will be; 8cm

Given that the formula for calculating the volume of a rectangular box is expressed as:

V= w l h

Where L is the length

w is the width

h is the height

Given the following parameters;

Length l = 3 cm

Volume V = 120cm³

Height = 5cm

Find the width of the box as :

V= w l h

120 = w x 3 x 5

w = 120/ 15

w = 8

Hence, the width of the rectangular box will be 8 cm.

Learn more about rectangles here;

https://brainly.com/question/15019502

#SPJ2