Let y=tan(2x+8). (a) Find the Ay when I = 2 and Ar = 0.2 (b) Find the differential dy when I = 2 and dx = 0.2 Round your answers to three decimals. Question Help: Video Post to forum Submit Question

Answer:

It's (B) Rhombus and (D) Rectangle

Step-by-step explanation:

If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.

Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is \(-16t^{2} +48t\).

We are required to find the time that the ball took to travel before returning the ground.

We know that speed is the distance a thing covers in a particular time period.

The height of the ball after t seconds is as follows:

h(t)=\(-16t^{2} +48t\)

It is at ground at the instants of t.

Hence,

\(-16t^{2} +48t\)=0

-16t(t-3)=0

We want value of t different of 0, hence :

t-3=0

t=3.

Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.

Learn more about speed at https://brainly.com/question/4931057

#SPJ1

Answer:

B. t=3

Step-by-step explanation:

i took the test and got it right

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

Learn more about hypothesis testing here: brainly.com/question/17099835

#SPJ11

Answer:

The given function is k(t) = cos(2πt/3).

The general form of a cosine function is A*cos(Bx - C) + D, where:

Comparing this form to the given function, we can see that:

Therefore, the amplitude of k(t) is 1, the period of k(t) is 3, the phase shift of k(t) is 0, and the vertical shift of k(t) is 0.

Three people get into an empty elevator at the first floor of a building that has floors. Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

To simplify the problem we can see that there are three persons and all of them have their desired floors. Each one of them has pressed the button for their floor.

We can construct a number line to represent the floors. Let us suppose that the number line represents the floors of a 10 story building.

Number line: ... 7 8 9 10 [first person] [second person] [third person]

Let us see the scenario where the buttons for consecutive floors are pressed. Let the first person press the button for the 3rd floor. Then the second person could press the button for either the 2nd floor or the 4th floor.

We can only have the buttons for consecutive floors pressed if the second person presses the button for the 2nd floor

The probability of this happening. There are only 2 possibilities for the second person to press the button:

Press the button for the 2nd floor.

Press the button for the 4th floor.

Both of these possibilities are equally likely.

Therefore the probability that the second person will press the button for the 2nd floor is 1/2.The third person has only one choice. They can only press the button for the 4th floor.

Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.

Learn more about Number line here:

https://brainly.com/question/32029748

#SPJ11

We know x = 4 + y  (1)

So 2x - 3y = 1  

<=> 2.(4 + y) - 3y = 1

<=> 8 + 2y - 3y = 1

<=> 8 - y = 1

<=> y = 8 - 1

<=> y = 7  (2)

move (2) to (1) : x = 7 + 4 = 11

ok done. Thank to me :>

Answer:

1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)

4 - 10

6 - 15

14 - 33

Step-by-step explanation:

The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

Visit here to learn more about  angles : https://brainly.com/question/28451077
#SPJ11

Complete the square:

2x² + 9x - 18

2(x² + 9/2 x) - 18

2(x² + 9/2 x + 81/16 - 81/16) - 18

2(x² + 2 (9/4) x + (9/4)²) - 81/8 - 18

2(x + 9/4)² - 225/8

If you're not familiar with the method, the idea is to get a quadratic from the standard form

ax² + bx + c

into its vertex form

a (x - h)² + k

where (h, k) is the vertex of the parabola associated with the quadratic.

Expand the vertex form to get

a (x² - 2xh + h²) + k

ax² - 2ahx + ah² + k

For the two forms to be equivalent, we must have

-2ah = b

ah² + k = c

which means

h = -b/(2a)

k = c - ah² = c - b²/(4a)

In this case, a = 2, b = 9, and c = -18, so

h = -9/(2 • 2) = -9/4

k = 18 - 9²/(4 • 2) = -225/8

The given sequence 48, 24, 12, and 6 is a geometric sequence because there is a common ratio between each term.

The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The sequence is given in the question below as:

48, 24, 12, 6

To determine whether the sequence is arithmetic or geometric

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/2 gives the next term.

Learn more about geometric sequence here:

brainly.com/question/21087466

#SPJ1

If q = D(x) = 800 - 4x, then, the elasticity is E(x) = x / (200 - x). Therefore, option A. is correct.

To find the elasticity of demand, we will use the following terms in the answer: elasticity (E), demand function (D(x)), and quantity (q). We are given the demand function D(x) = 800 - 4x.

First, let's find the derivative of the demand function with respect to x, which represents the slope of the demand curve at any point x. We will call this derivative D'(x).
D'(x) = -4

Now, to find the elasticity (E), we use the formula:
E(x) = (x * D'(x)) / D(x)

Substitute the values of D'(x) and D(x) in the formula:
E(x) = (x * -4) / (800 - 4x)

Simplify the equation:
E(x) = (-4x) / (800 - 4x)

This is equivalent to option A:
E(x) = x / (200 - x)

So, the correct answer is A. E(x) = x / (200 - x).

Learn more about elasticity:

https://brainly.com/question/1048608

#SPJ11

Answer:

142.86 miles

Step-by-step explanation:

150 + .35m < 200

150 + .35m -150 < 200-150

.35m < 50

.35m/35 < 50/.35

m < 142.86

The maximum distance I can drive the rv in a day if my budget $200 is, approx. 142 miles

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The cost to rent an rv is $150 per day +  $0.35 per mile

The maximum distance in a day = ?

Budget is $200

So,

The maximum distance in a day ≤ 200

The maximum distance in a day = 150 + 0.35x

Now,

⇒  150 + 0.35x  ≤ 200

⇒   0.35x  ≤ 200 - 150

⇒      x ≤ 142.85

Hence, maximum distance in a day is approx. 142 miles

To know more about inequalities check:

https://brainly.com/question/28823603

#SPJ2

The completed table would look like this

Mass (kg)       12       24        36      48      60

Percentage   20%    40%   60%   80%   100%

The double number line represents Henrik's mass, which is 60 kg. The second tick mark on the Mass line corresponds to this value. The Percentage line ranges from 0% to 100%, representing the percentage of Henrik's mass. To complete the table, we need to calculate the different percentages.

To find a certain percentage of Henrik's mass, we locate the corresponding point on the Percentage line and draw a vertical line to intersect the Mass line. We can then read the mass value at that intersection point.

For example, to find 20% of Henrik's mass, we locate the point on the Percentage line labeled "20%." Drawing a vertical line from this point, it intersects the Mass line at a value of 12 kg. Therefore, 20% of Henrik's mass is 12 kg.

Similarly, for 40% of Henrik's mass, the vertical line intersects the Mass line at a value of 24 kg.

In summary, the completed table  would look like this

Mass (kg)       12       24        36      48      60

Percentage   20%    40%   60%   80%   100%

For such more question on Percentage:

https://brainly.com/question/31654195

#SPJ8

The sum of the values is

\(67+85+92+123+147+181+181+196+198+213+252+277+287+325+459=3083\)

Dividing this by the number of values, which is 15, the mean is 3083/15.

The mean is a measure of central tendency, and indicates that people make an average of about $205.53 per month.

Answer:

Use the stemplot to answer the questions.

The mean paycheck is $

✔ 205.53

.

The mean is a

✔ statistic

.

This mean paycheck indicates that

✔ on average, students earned $205.53 per paycheck

.

Step-by-step explanation:

edge 2023

Recall that the volume of a cube equals (side)^3. We can create an equation to model this.

1728 in^3 = (side)^3

We can get the cube root of both sides.

12 in = side

Each side is 12 inches long.

The required simplified value of x, y,  and z is 2, 2, and 2.

Given that,
The system of the equation is given
4x - 2y +z = 6,
-2x + y = -4,
3y - 2z = 4
And also x= y= z

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

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.

Here,
Since, x = y = x
taking any one equation
4x - 2y +z = 6
Now,
4x - 2x + x = 6
3x = 6
x = 2

Thus, the required simplified value of x, y,  and z is 2, 2, and 2.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

For more such questions on values

https://brainly.com/question/843074

#SPJ8

Answer:

15.3 miles.

Step-by-step explanation:

Area of trapezoid is given by = 1/2*( sum of parallel side) height

Given area of trapezoid = 221.85 sq. miles

Length of parallel sides = 19 miles and 10 miles.

Sum of parallel sides = 19 miles + 10 miles = 29 miles.

Plugging the above values in formula for area of trapezoid we have

Area of trapezoid is given by = 1/2*( sum of parallel sides) height

221.85 = 1/2 (29) height

=> 221.85* 2 = 29* height

=> 443.7 = 29* height

=> 443.7/29 =  height

=> height = 15.3

Thus, height is 15.3 miles.

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

Learn more about Factorial here:

https://brainly.com/question/30136880

#SPJ11

What is covariance

Covariance measures the directional relationship between the returns of two assets. A positive covariance means that the asset returns move together, a negative covariance means they move in opposite directions.

What does covariance between two variables mean?

Covariance measures the direction of the relationship between two variables. A positive covariance means that both variables tend to be high or low at the same time. Negative covariance means that as one variable increases, the other tends to decrease.

correlation coefficient

Correlation coefficient measures the strength of association between two variables. The most common correlation coefficient, called the Pearson product-moment correlation coefficient, measures the strength of linear association between variables measured on an interval or ratio scale.

according to the question given data,

the greater the absolute size of the correlation coefficient, the greater is the covariation between the two variables ,or the stronger is their relationship,(true)

to know more about correlation coefficient visit

https://brainly.com/question/28451077

#SPJ4

Answer:

Yes

Step-by-step explanation:

Therefore, the only solutions within the given interval are the values of x for which cos(x) = 0, namely \(x = (2k + 1)\pi/2,\) where k is any integer, and 0 < a < π.

To find all solutions of the equation cos(x)sin(x) - 2cos(x) = 0, we can factor out the common term cos(x) from the left-hand side:

cos(x)(sin(x) - 2) = 0

Now, we have two possibilities for the equation to be satisfied:

 cos(x) = 0In this case, x can take values of the form x = (2k + 1)π/2, where k is any integer.

 sin(x) - 2 = 0 Solving this equation for sin(x), we get sin(x) = 2. However, there are no solutions to this equation within the interval 0 < a < π, as the range of sin(x) is -1 to 1.

For such more question on integer

https://brainly.com/question/929808

#SPJ11

Step-by-step explanation:

to compare 5/6 and 1/3 we need to bring both fractions to the same denominator (bottom part of a fraction).

in other words, 1/3 needs to become x/6.

so, what do we need to do to bring 3 to 6 ? we multiply by 2.

and then we need to multiply also the numerator (top part) by the same 2, so that all we do is multiplying 1/3 by 2/2 and keep the value of the fraction unchanged.

1/3 × 2/2 = 2/6

and we compare 5/6 with 2/6.

how many 2/6 pound bags can he make out of 5/6 pounds ?

2 (2 × 2/6 = 4/6).

so, he can make 2 bags and has 1/6 pound left.

Answer:

sb= 44

Step-by-step explanation:

be is half of the line so 22 is half of the line

22×22=44

tell me if I'm correct if u can

hope this helps :)

Step-by-step explanation:

Hey there!

M is the midpoint of SB.

Midpoint seperates the line into 2 equal parts.

I.e SM = BM.

So, If BM = 22.

SB = 22+22= 44 [As SM = BM and SB= SM + BM]

Therefore the value of SB is 44.

Hope it helps...

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

Learn more about titration at:

brainly.com/question/15170788

#SPJ4

Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

Answer:x=-0.5

Step-by-step explanation:

You would add the 2.5 on both sides of the equal sign

Answer:

36)12(37)0.67

Step-by-step explanation:

36)A=base×height

A=2×6

A=12

37)A=a+b/2h

A=2+6/12

A=8/12

A=0.67

The expected value of the minimum of two cards drawn with replacement from a standard deck is 6.96.

We can approach this problem by finding the probability distribution of the minimum card value. Let X be the value of the first card and Y be the value of the second card. Then the minimum card value, Z, is given by Z = min(X,Y).

To find the probability distribution of Z, we can use the fact that P(Z > z) = P(X > z)P(Y > z), where z is any card value. Since each card has an equal probability of being drawn, we have P(X > z) = P(Y > z) = (14-z)/13, for z = 1,2,...,13 (note that we include 14 because aces count as 1).

Therefore, the probability distribution of Z is given by:

P(Z = 1) = (1/13)^2

P(Z = 2) = 2(2/13)(11/13)

P(Z = 3) = 2(3/13)(10/13)

P(Z = 4) = 2(4/13)(9/13)

P(Z = 5) = 2(5/13)(8/13)

P(Z = 6) = 2(6/13)(7/13)

P(Z = 7) = 2(7/13)(6/13)

P(Z = 8) = 2(8/13)(5/13)

P(Z = 9) = 2(9/13)(4/13)

P(Z = 10) = 2(10/13)(3/13)

P(Z = 11) = 2(11/13)(2/13)

P(Z = 12) = 2(12/13)(1/13)

P(Z = 13) = (13/13)^2

The expected value of Z is then given by:

\(E(Z) = 1(1/169) + 2(44/169) + 3(60/169) + 4(72/169) + 5(80/169) + 6(84/169) + 7(84/169) + 8(80/169) + 9(72/169) + 10(60/169) + 11(44/169) + 12(24/169) + 13(1/169)\)

E(Z) = 6.96

Therefore, the expected value of the minimum card value is 6.96.

For more questions like Probability visit the link below:

https://brainly.com/question/28545104

#SPJ11