Let a curve be parameterized by x = t³ +9t, y=t+3 for 1 ≤ t ≤ 2. Set up and evaluate the integral for the area between the curve and the x-axis. Note that r(t) is different from the other problems.

Answer:

I think it is 15 sorry if this is wrong

Answer:

Step-by-step explanation:

\(70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour\)

Answer:

4200 beat per hour

Step-by-step explanation:

70 beat per min to beat per hour

70 beat      60 min

    -------  x -----------  =  4200 beat per hour

     min       1 hour

Answer:

(-4, ∞)

Step-by-step explanation:

The domain of a function is how far the x goes left and right.

We see the x starts at -4 and goes forever.

So, the Domain of the function is (-4, ∞)

The domain of the function in the given graph of a function represents all the x-values equal to (−4,∞).

The domain of a function is the set of all possible input values for the function.

In other words, it is the set of all x-values for which the function has a defined y-value.

To find the domain of a function from its graph, we need to look for any x-values for which the function is undefined.

The graph in the image you sent shows a function that is defined for all real numbers.

This means that the domain of the function is all real numbers, here in the given graph domain is  (−4,∞).

Another way to think about it is that the graph of the function extends infinitely far to the left and to the right, which means that there are no x-values for which the function is undefined.

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The median lies in the group "30 < x < 40".

To determine the median, we followed these steps:

Therefore, the median lies in the group "30 < x < 40".

The median is a statistical measure that represents the middle value in a set of numerical data. It is used to describe the central tendency of the data and to determine where the majority of the values lie. To find the median, the data must be arranged in ascending or descending order, and the middle value is taken.

If the number of observations is odd, the median is the middle value. If the number of observations is even, the median is the average of the two middle values. The median is useful for finding the central value of data that may have extreme outliers or skewness, as it is not affected by the presence of such values.

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Answer:

They both equal 20 when you do the butterfly method. They are all factors of 20.

Step-by-step explanation:

2/4 5/10

2x10=20

4x5=20

Solution

- In order for the quadrilateral to be a parallelogram, the opposite sides of the quadrilateral must be parallel and equal in length.

- Thus, we can say:

- This means we can equate the expression of BC to that of AD and the expression of AB to that of CD.

- Let us perform this operation below:

- Thus, let us solve these two equations simultaneously.

- We shall apply the substitution method.

Final Answer

The value of x is 9

The value of y is 4

-

Answer:

6x^3 (9x^361 + 10x+9)

Step-by-step explanation:

The 95 percent confidence interval for the population mean is $65.59 to $74.41.

To calculate a 95% confidence interval for the population mean, we will use the sample mean, population standard deviation, and sample size provided. The formula for the confidence interval is:

CI = X ± (Z * (σ / √n))

Where:
- X is the sample mean, $70.00
- Z is the Z-score for a 95% confidence interval, 1.96
- σ is the population standard deviation, $17.50
- n is the sample size, 60

CI = $70.00 ± (1.96 * ($17.50 / √60))

Calculate the margin of error:

Margin of Error = 1.96 * ($17.50 / √60) ≈ $4.41

Now, calculate the confidence interval:

Lower Limit = $70.00 - $4.41 ≈ $65.59
Upper Limit = $70.00 + $4.41 ≈ $74.41

So, the 95% confidence interval for the population mean is approximately $65.59 to $74.41.

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Answer:

Option D. 10,779 feet

Step-by-step explanation:

Given from the figure attached,

PT = OB = 7000 ft

PB = OT = x feet

and angle of elevation (∠POT) = 30°

By applying Tan rule in the triangle POT,

tan33° = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\) = \(\frac{PT}{OT}\)

tan33° = \(\frac{7000}{x}\)

x = \(\frac{7000}{\text{tan}33}\)

x = 10779 feet

Therefore, distance between the bird (B) and plane (P) is 10,779 feet.

Option D. will be the answer.

Answer:

10,779 feet

Step-by-step explanation:

I took the test.

Cluster sampling method subdivides the population into categories sharing similar characteristics and then selects a sample from each​ subdivision

In the probability sampling technique known as cluster sampling, you split a population into groups, such as districts or schools, and then randomly choose a sample from among these groups. As far as possible, each cluster ought to be a miniature representation of the community as a whole.

Cluster sampling is also referred to as multi-stage sampling since additional items are collected from the sample clusters that were chosen in the first step.

When studying large, dispersed populations, cluster sampling is most effective since interviewing every individual would be expensive, time-consuming, and sometimes impossible. By using cluster sampling, it is possible to create smaller, more comparable clusters that represent the population being studied.

Cluster sampling is method of sampling in which samples re subdivided into categories sharing similar characteristics and then selects a sample from each​ subdivision. These groups are called clusters.

For equal sample sizes cluster sampling provide less precision than,simple random sampling and stratified sampling. On the other hand when travel costs between clusters are high, cluster sampling is more cost-effective than the other methods.

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Answer:

6 people

Step-by-step explanation:

take the 18 and divide it by three because this will help you solve for one car so 18 divided by three is six

Answer:

36pi

Step-by-step explanation:

area of a circle is pi*radius^2

the radius of a circle w a diameter of 12 is 6 so square 6 to get 36 and then multiply by pi

Answer:

A=36pi cm^2 or 113.097 squared cm

Step-by-step explanation:

A=pi(r)^2

A=pi(6)^2

A=36pi cm^2

The graph of G(x) is the graph of F(x) compressed vertically.

The equation of the graph of F(x) is given by x^2 and that of G(x) is given by 4/5 x^2.

The coefficient of x^2 in the equation of G(x) is 4/5, which is smaller than the coefficient of x^2 in the equation of F(x), which is 1.

This means that for a given value of x, the value of G(x) will always be less than the value of F(x). In other words, the graph of G(x) will be closer to the x-axis compared to the graph of F(x), which is equivalent to compressing the graph of F(x) vertically.

Therefore, the statement that best compares the graph of G(x) with the graph of F(x) is "The graph of G(x) is the graph of F(x) compressed vertically".

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Suppose that F(x) = x^2 and G(x) =4/5x^2 Which statement best compares the graph of G(x) with the graph of F(x)? The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis. The graph of G(x) is the graph of F(x) stretched vertically. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis. The graph of G(x) is the graph of F(x) compressed vertically.

Answer:

Step-by-step explanation:

6x+14=50

(6x is hourly wage, x being the hours, 14 is the amount he started with, and 50 is what he needs)

6x=36

x=6 hours

Answer:

N=15

Step-by-step explanation:

Simplify 1/4 (2n-8)

2n-8/4+1/4n=1/2(n+6)

Factor out the common term 2.

2(n-4)/4+1/3n=1/2(n+6)

Simplify  2(n-4)/4 to n-4/2

n-4/2+n/3=1/2(n+6)

Simplify  1/3n to n/3

n-4/2+n/3=1/2(n+6)

Simplify 1/2(n+6) to n+6/2

n-4/2+n/3=n+6/2

Multiply both sides by 6 (the LCM of 2, 3,).

3(n−4)+2n=3(n+6)

7 Expand.

3n−12+2n=3n+18

Simplify  3n-12+2n to  5n-12

5n−12=3n+18

Add 12 to both sides.

5n=3n+18+12

Simplify  3n+18+12  to  3n+30

5n=3n+30

Subtract 3n from both sides.

5n-3n=30

Simplify  5n-3n to 2n.

2n=30

Divide both sides by 22

n= 30/2

Simplify 30/2 to 15.

n=15

n=15

Brainliest

Answer:

n = 15

Explanation :

1/4(2n-8) + 1/3n = 1/2(n+6)                 Distribute

1/2n -2  + 1/3n = 1/2(n+6)                    Combine like terms

5/6n -2 = 1/2(n+6)                               Distribute

5/6n -2 = 1/2n +3                                 Pass 1/2n  to the other side

5/6n - 1/2n -2 = 3                                Combine like terms

1/3n  -2 = 3                                            Pass -2 to the other side

1/3n = 3+2                                           Combine like terms

1/3n = 5                                                 Divide both sides by 1/3

n = 15                                                     and then you will get your answer .

Answer:1 l = 2.2 lb wt.

Step-by-step explanation:

Answer: 8:10, 7:54, 26 minutes

Step-by-step explanation:

a) Go to the row labeled Church Street, start in the column with time 7:59, read down until you get to the row labeled Bus Station.

b) Go to the High Street row. The latest arrival time that is still before 8:30 is 8:10. Starting in the column with 8:10, read UP to the Hope Street row. The bus leaves there at 7:54

c) Pick any column in the row for School Road. In that column, read down to the Bus Station row. The difference between the two times is 26 minutes no matter which column is selected.

There are infinite numbers that are equivalent to 6.3.

Real numbers are those numbers that are either rational or irrational. Therefore, real numbers include both ration and irrational numbers.

The given number 6.3 can be rewritten in the form of a fraction as,

6.3 / 1

Multiply both the numerator and the denominator by a,

= 6.3a / a

In the above-formed fraction, the value of a can be any real number, because at the end a in the numerator will be cancelled by the a in the denominator. For instance let's take the value of a as 2, 10 and 1000.

When a=2,

(6.3×2) / (1 × 2) = 12.6/2

When a=10,

(6.3×10) / (1 × 10) = 63 / 10

When a=1000,

(6.3×1000) / (1 × 1000) = 6300 / 1000

Further, as a can be any real number, therefore, there are infinite numbers that are equivalent to 6.3.

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Answer:

\(y = \frac{-3}{4}x + 36\)

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

\(\frac{-9}{12} = \frac{-3}{4}\)

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

\(m = \frac{-3}{4}\)

where,

c = 36 inches

So, the function is

\(y = \frac{-3}{4}x + 36\)

Answer:

Answer is A

Step-by-step explanation:

Answer:

m<PSR = 60°

Step-by-step explanation:

Given:

m<OPQ = 50°

m<ORQ = 70°

Required:

m<PSR

Solution:

m<PQR + m<OPQ + m<ORQ = 180° (Sum of triangle)

m<PQR + 50 + 70 = 180 (Substitution)

m<PQR + 120 = 180

m<PQR = 180 - 120

m<PQR = 60°

One of the properties of a kite states that the angles where the unequal sides meets are congruent to each other. Therefore:

m<PSR = m<PQR

m<PSR = 60° (substitution)

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

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Answer: 25%

Step-by-step explanation:

You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.

The curve x = t^2 − 3t, y = t intersects the y-axis when x = 0, which occurs when t = 0 and t=3. is 8root2/5

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.

In general, an intersection curve consists of the common points of two transversally intersecting surfaces, meaning that at any common point the surface normals are not parallel. This restriction excludes cases where the surfaces are touching or have surface parts in common.

A=∫ ​( t)(2t−2)dt

=∫ 2t ^(3/2) −2t ^(1/2)dt

=8root(2)/15

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Answer:

C

Step-by-step explanation:

-3 + 3 = 0

- Gage Millar, Algebra 2 Tutor

Answer:

\(\huge{\boxed{\boxed{\tt {⇻ Answer :- }}}} \ \)

\(3 + ( - 3) \\ = 3 + - 3 \\ = 3 - 3 \\ = 0\)

⎆ Answer :- Option C) 0

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

423/500

Step-by-step explanation:

Step-by-step explanation:

12/10.1

16.85/13

21.61/15

The best way, in my opinion, is to divide each price by it's respective inches. Doing that you will see the cost per inch. the cheapest one is the best deal.

\(small = \frac{12}{10.1} = 1.19\)

\(medium = \frac{16.85}{13} = 1.30\)

\(large = \frac{21.61}{15} = 1.44\)

Seeing these 3, the cheapest was $1.19, making the small pizza the best deal because you get the best price per inch

Answer:

m=175x+5000

Step-by-step explanation:

5000= y-intercept

175=slope

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.