The displacement of a particle on a vibrating string is given by the equation s(t)=3+ \frac{1}{5} sin (3πt)
where s is measured in centimeters and t in seconds. Find the velocity (in cm/s) of the particle after t seconds.[tex]\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

One point and the slope of the line

One point

One of the intercepts and the slope of the line

Both the intercepts

Two points

Answer:

All the above except "one point"

Step-by-step explanation:

Using one point and the slope of the line, we can find the slope intercept form and graph it from that.

Using one point wouldn't be enough data to graph a line.

Using one of the intercepts and the slope of the line will give is enough data to put it in slope intercept without having solve anything so we can graph it right away.

Using both intercepts lets us find the slope and we can then put it in slope intercept form to solve.

Using two points will let us solve for the slope and y-intercept in slope intercept form so we can graph them.

Best of Luck!

Answer:

59.85

Step-by-step explanation:

So if each minute she uses 1.33 calories, you have to multiply it by 45. 45 times 1.33 is 59.85 so there you go. Ellen uses 59.85 calories during a 45-minute class.

Answer:

59.85 calories

Step-by-step explanation:

1.33 x 45 = 59.85

Answer:

All real numbers -----> X=0

Step-by-step explanation:

1) 3x + 6 = 3(2 + x) Distribute the 3 on  the right side

2) 3x + 6 = 6 + 3x Subtract 3x from both sides

3) 6=6 Subtract 6 from each side

4) 0=0

5) All real numbers

I hope this helps you and good luck on your assignment.

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

Answer:

Step-by-step explanation:

This is a decreasing line that goes below x-axis

Answer:

ok sure

do you see my invite

plz mark brainelist

Answer:

4p3+2p2+19p-5

Step-by-step explanation:

You need to have like terms to combine numbers, also you might want to put this icon like this: 4p^3+2p^2+19p-5. The ^ helps give the power from the exponent.

Answer:

it will be an even number

-5x3 +9

Step-by-step explanation:

because 5 x 3 is 15 and you have negative marks by the numbers so 15 - 6 would be 9 So you'd add 9 to the fifteen and then you have negative 6

The linear equation that represents the given situation is :

y = 4x + 1 and the elephant's tusk at 6-years old will be 25 inches.

represents the situation.

Given is that Elephants are born with tusks, and their tusks grow 4 inches a year. A 1 - year old elephant's tusk measured 5 inches.

Since the tusks grow 4 inches a year, we can write -

y = 4x + c

{y} - length of tusk
{x} - number of years

Now, at (1, 5) -

5 = 4 x 1 + c

c = 5 - 4

c = 1

So, the linear equation that represents the given situation is -

y = 4x + 1

For {x} = 6, we can write -

y = 4 x 6 + 1

y = 25 inches

Therefore, the linear equation that represents the given situation is :

y = 4x + 1 and the elephant's tusk at 6-years old will be 25 inches.

represents the situation.

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Answer:

- 50i - 14j

Step-by-step explanation:

Substitute u = - 9i + 8j and v = 7i + 5j, that is

2u - 6v

= 2(- 9i + 8j) - 6(7i + 5j) ← distribute both parenthesis

= - 18i + 16j - 42i - 30j ← collect like terms

= - 50i - 14j

Answer:

A on E2020

Have a Great Day ;)

Answer:

he saw 32 cats

Step-by-step explanation:

cause 6 x 9 = 48 so do 4 x 9 and see what you get

Answer:

the answer for cats is 8

Step-by-step explanation:

And how I got that answer is i did 48/4 that equals 12 and 48/6 equals 8

Answer:

-18/3

Step-by-step explanation:

expression that equivalent to (3 + 5i)² is -16 + 30i.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, an expression ( 3 + 5i)²

Where, "i" is iota that has the value of √-1

Thus, Simplification of the given Expression will be:

=> ( 3 + 5i)²

=>( 3 + 5i)( 3 + 5i)

Using PEMDAS

=> 9 + 15i +15i +5i * 5i

Since i *i = -1

=> 9 + 30i + 25 * -1

=> -16 + 30i

therefore, -16 + 30i expression is equivalent to (3 + 5i)².

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Answer:Some of these data have outliers​ and/or are​ skewed, and the median and interquartile range are resistant to outliers.

Step-by-step explanation:

Outliers often characterize a lot of data. Outliers are extreme values which have obvious impact on the value of the standard deviation of a given distribution.

However, the median and interquartile range are resistant to outliers hence they can be used even in the presence of outliers in the distribution.

The best for comparing the medians and interquartile range is the first option

Outliers refer to the attribute of a lot of data. It is considered to be an extreme value that should have an impact on the value of the standard deviation of a given distribution. But, the median and interquartile range should be resistant to outliers.

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Answer:

Step-by-step explanation:  

In this problem, we are expected to solve for the percentage change, given the opening  point and the closing point

given that the low is 4014

and the high is  9012

the formula to calculate the percentage change is given as

%change= (high-low)/low*100

substituting our given data we have

%change= (9012-4014)/4014*100

%change= (4998)/4014*100

%change= (1.2451)*100

%change= 124.51%

The total change in the stock market from the beginning of the day to the end of the day is 124.51%

Let the rocket is launched at an angle of \theta with respect to the positive direction of the x-axis with an initial velocity u=15m/s.

Let the initial position of the rocked is at the origin of the cartesian coordinate system where the illustrative path of the rochet has been shown in the figure.

As per assumed sine convention, the physical quantities like displacement, velocity, acceleration, have been taken positively in the positive direction of the x and y-axis.

Let the point P(x,y) be the position of the rocket at any time instant t as shown.

Gravitational force is acting downward, so it will not change the horizontal component of the initial velocity, i.e. [tex]U_x=U cos\theta[/tex] is constant.

So, after time, t, the horizontal component of the position of the rocket is

[tex]x= U \cos\theta t \;\cdots(i)[/tex]

The vertical component of the velocity will vary as per the equation of laws of motion,

[tex]s=ut+\frac12at^2\;\cdots(ii)[/tex], where,s, u and a are the displacement, initial velocity, and acceleration of the object in the same direction.

(a) At instant position P(x,y):

The vertical component of the initial velocity is, [tex]U_y=U sin\theta[/tex].

Vertical displacement =y

So, s=y

Acceleration due to gravity is [tex]g=9.81 m/s^2[/tex] in the downward direction.

So, [tex]a=-g=-9.81 m/s^2[/tex] (as per sigh convention)

Now, from equation (ii),

[tex]y=U sin\theta t +\frac 12 (-9.81)t^2[/tex]

[tex]\Rightarrow y=U \sin\theta \times \frac {x}{U \cos\theta} +\frac 12 (-g)\times \left(\frac {x}{U \cos\theta} \right)^2[/tex]

[tex]\Rightarrow y=U^2 \tan\theta-\frac 1 2g U^2 \sec^2 \theta\;\cdots(iii)[/tex]

This is the required, quadratic equation, where [tex]U=15 m/s[/tex] and [tex]g=9.81 m/s^2[/tex].

(b) At the highest point the vertical velocity,v, of the rocket becomes zero.

From the law of motion, [tex]v=u+at[/tex]

[tex]\Rightarroe 0=U\sin\theta-gt[/tex]

[tex]\Rightarroe t=\frac{U\sin\theta}{g}\cdots(iv)[/tex]

The rocket will reach the maximum height at [tex]t= 1.53 \sin\theta s[/tex]

So, from equations (ii) and (iv), the maximum height, [tex]y_m[/tex] is

[tex]y_m=U\sin\theta\times \frac{U\sin\theta}{g}-\frac 12 g \left(\frac{U\sin\theta}{g}\right)^2[/tex]

[tex]\Rightarrow y_m=23 \sin\theta -11.5 \sin^2\theta[/tex]

In the case of vertical launch, [tex]\theta=90^{\circ}[/tex], and

[tex]\Rightarrow y_m=11.5 m[/tex] and [tex]t=1.53 s[/tex].

Height from the ground= 11.5+3=14.5 m.

(c) Height of rocket after t=4 s:

[tex]y=15 \sin\theta \times 4- \frac 12 (9.81)\times 4^2[/tex]

[tex]\Rightarrow y=15 \sin\theta-78.48[/tex]

[tex]\Rightarrow -63.48 m >y> 78.48[/tex]

This is the mathematical position of the graph shown which is below ground but there is the ground at [tex]y=-3m[/tex], so the rocket will be at the ground at t=4 s.

(d) The position of the ground is, y=-3m.

[tex]-3=U\sin\theta t-\frac 1 2 g t^2[/tex]

[tex]\Rightarrow 4.9 t^2-15 \sin\theta t-3=0[/tex]

Solving this for a vertical launch.

[tex]t=3.25 s[/tex] and [tex]t=-0.19 s[/tex] (neglecting the negative time)

So, the time to reach the ground is 3.25 s.

(e) Height from the ground is 13m, so, y=13-3=10 m

[tex]10=U\sin\theta t-\frac 1 2 g t^2[/tex]

Assume vertical launch,

[tex]4.9 t^2-15 \sin\theta t+10=0[/tex] [using equation (ii)]

[tex]\Rightarrow t=2.08 s[/tex] and [tex]t=0.98 s[/tex]

There are two times, one is when the rocket going upward and the other is when coming downward.

Answer:

4 will be the coefficient

while X will be the variable

and the constant term is 11.

Answer:

Step-by-step explanation:

1.Let the number be x.

2.To find one-third of a number, divide the number by 3 ,

3. x÷3.

The required simplified value of the expression  13 - 1/3(11 - 5) is 11.

Given that,
To evaluate: 13 - 1/3 (11-5)

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

= 13 - 1 / 3( 11 - 5 )
Solving the parenthesis first (11 - 5) = 6

= 13 - 1 / 3 * 6
Following the PEMDAS rule, multiply between 1/3 and 6 = 2
= 13 - 2
Subtraction
= 11

Thus,  the required simplified value of the expression  13 - 1/3(11 - 5) is 11.

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Answer:

D if my calculus are correct.

Answer:

A

Step-by-step explanation:

Recall that domain is simply the span of x-values a graph covers.

From the graph, we can see that the graph only covers x-values less than or equal to zero. Our x-values never cross and go beyond x = 0.

Therefore, our domain is all values less than or equal to 0.

As an inequality, this is:

[tex]x\leq 0[/tex]

In conclusion, our answer is A.

Answer: Choice A.  [tex]x \le 0[/tex]

x can be any number smaller than 0, or it can be equal to 0 itself.

This is because the furthest to the right we can go is at x = 0. This endpoint is included due to the filled in circle at the endpoint.

There is no left boundary, so the graph goes on forever toward negative infinity.

We can say [tex]-\infty < x \le 0[/tex] but it's easier to say [tex]x \le 0[/tex]

The domain in interval notation would be [tex](-\infty, 0][/tex]. The square bracket says "include this endpoint". The curved parenthesis means "exclude this endpoint". We cannot reach either infinity, so we always use a curved parenthesis with either infinity.

As implied, the domain is the set of all possible x values of a function. The range is the set of all possible y values.

Answer:

10

Step-by-step explanation:

Pithagaren theorem 6²+8²=c²

36+64=c²

100=c² (then do the inverse)

√100=c

10=c

the sending message to do is not just the way the sending messages are you and your family but you are u coming from a different world and I think you

Answer:

3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]

Step-by-step explanation:

Operations With Fractions

Let's divide 3 2/3 by 3 4/5. Both fractions are in mixed format, so we have to write them as an improper fraction:

[tex]\displaystyle 3\frac{2}{3}=3+\frac{2}{3}=\frac{9+2}{3}=\frac{11}{3}[/tex]

[tex]\displaystyle 3\frac{4}{5}=3+\frac{4}{5}=\frac{15+4}{5}=\frac{19}{5}[/tex]

We must divide [tex]\frac{11}{3}[/tex] by [tex]\frac{19}{5}[/tex]

To make it simple, we just multiply the first fraction by the reciprocal of the second fraction:

[tex]\displaystyle \frac{\frac{11}{3} }{ \frac{19}{5}}=\frac{11}{3} * \frac{5}{19}=\frac{55}{57}[/tex]

3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]

Answer:

a=3

Step-by-step explanation:

x – 2y = 4

ax– 6y = 12

To have infinitely many solutions, the two equations have to be equal

Multiply the first equation by 3

3x -6y = 12

ax -6y = 12

a = 3

Answer:

73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

To obtain the z value, subtract the mean (75) from the given value (87) and divide the result by the standard deviation (5). The answer is 2.4.

The standard deviations away from the mean is the recorded value 87 when a mean of 75 and a standard deviation of 5 is 2.4.

Normally distributed data is the distribution of probability which is symmetric about the mean. The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

Consider a normally distributed data set with a mean μ of 75 and a standard deviation σ of 5.

One of the recorded values X is  87. To find the away value, we have to find the z score using the following formula,

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

Here, X is the sample size, μ is the mean and σ is the standard deviation of the data. Put the values,

[tex]Z=\dfrac{87-75}{5}\\Z=2.4[/tex]

Thus, the standard deviations away from the mean is the recorded value 87 when a mean of 75 and a standard deviation of 5 is 2.4.

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