(5•-3)^2 - (2•5 - 3•-3)^3

Answer:

a and b

no the definitions have opposite results

Step-by-step explanation:

Answer:

a)   c)   d)    e)

Step-by-step explanation:

a) cross-products are equal; 24 = 24

c) cross-products are equal; 18 = 18

d) cross-products are equal; 30 = 30

e) cross-products are equal; 24 = 24

Answer:

A. 4/3 = 8/6 C. 3/2 = 9/6 D. 5/3 = 10/6 E. 4/2 = 12/6

To compute the arclength function s(t) for the given curve r = (e^2tcos(6t), e^2tsin(6t), e^2t), with an initial point at t = 0, we use the formula for arclength. By integrating the magnitude of the derivative of r(t) with respect to t over the desired interval, we obtain the arclength function.

In this case, we need to calculate the integral of the magnitude of the derivative of r(t) from t = 0 to t = t. This integral represents the distance along the curve from the initial point to any given point on the curve.

To compute the arclength function s(t) for the given curve r(t) = (e^2tcos(6t), e^2tsin(6t), e^2t), we need to calculate the integral of the magnitude of the derivative of r(t) with respect to t.

First, we find the derivative of r(t) by differentiating each component with respect to t. The derivative of r(t) is dr/dt = (2e^2tcos(6t) - 12e^2tsin(6t), 2e^2tsin(6t) + 12e^2tcos(6t), 2e^2t).

Next, we calculate the magnitude of the derivative, which is given by |dr/dt| = sqrt((2e^2tcos(6t) - 12e^2tsin(6t))^2 + (2e^2tsin(6t) + 12e^2tcos(6t))^2 + (2e^2t)^2).

Finally, we integrate the magnitude of the derivative from t = 0 to t = t to obtain the arclength function s(t). The integral represents the distance along the curve from the initial point (t = 0) to any given point on the curve (t = t).

To learn more about arclength; -brainly.com/question/31583826

#SPJ11

Answer:

1 62

Step-by-step explanation:

Answer:

Line 2 for part a

The system of equations for part b

and line 1 for part c

Step-by-step explanation:

Answer:

X=3+1/8

Step-by-step explanation:

X * 40/6 = 125/6

(Multiply each side by 6 to get rid of the denominator)
X *40=125
Divide each side by 40
X = 125/40
X= 25/8
X=3+1/8

Answer:

18.3824%

Step-by-step explanation:

Sorry, this may be wrong. I am using an old skill, so it may be wrong.

Answer:

324 m³

Step-by-step explanation:

each cube = 3x3x3 = 27 m³

27 m³ 12 = 324 m³

Answer: 5.5 hours

Step-by-step explanation: You do 198/36 and you'll get 5.5

Answer:

We can use the formula:

time = distance / speed

where distance is the distance traveled and speed is the constant rate at which the driver is traveling.

Plugging in the values we know, we get:

time = 198 miles / 36 miles per hour

Simplifying, we get:

time = 5.5 hours

Therefore, it would take the driver 5.5 hours to drive 198 miles at a constant rate of 36 miles per hour

To find the left, right, mean, and standard deviation for the normalcdf, you can follow these two steps:

The mean of the normal distribution is denoted by μ (mu), and the standard deviation is denoted by σ (sigma). If you have been given the mean and standard deviation, you can skip this step. If not, you need to calculate these values.

For example, let's say you are given the following normal distribution:

X ~ N(50, 10)

Here, the mean is 50, and the standard deviation is 10.

Once you have the mean and standard deviation, you can use them to determine the left and right bounds for the normalcdf.

The left bound is the smallest value in the range of values that you are interested in. The right bound is the largest value in the range of values that you are interested in.

For example, let's say you want to find the area under the normal distribution between x = 40 and x = 60. To do this, you need to find the left and right bounds.

Using the mean and standard deviation from Step 1:

μ = 50

σ = 10

To find the left bound, you subtract the mean from the left endpoint

left bound = 40 - μ = 40 - 50 = -10

To find the right bound, you subtract the mean from the right endpoint:

right bound = 60 - μ = 60 - 50 = 10

So the left and right bounds for the normalcdf are -10 and 10, respectively. You can then use these values to find the area under the normal distribution using a calculator or statistical software.

Learn more about normalcdf

brainly.com/question/16791835

#SPJ11

The equation of the line that satisfies the given conditions is y = 2x + 7.

To find the equation of a line that is perpendicular to another line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.

First, let's find the slope of the line passing through (-6, 1) and (-2, -1). Using the formula:

slope = (y2 - y1) / (x2 - x1),

we have:

slope = (-1 - 1) / (-2 - (-6)) = -2 / 4 = -1/2.

The negative reciprocal of -1/2 is 2. This will be the slope of the line perpendicular to the given line.

Now, we have the slope (m = 2) and a point (-9, -11) that the line passes through. We can use the point-slope form of the equation:

y - y1 = m(x - x1),

where (x1, y1) is the given point. Substituting the values, we get:

y - (-11) = 2(x - (-9)),

y + 11 = 2(x + 9),

y + 11 = 2x + 18,

y = 2x + 7.

Therefore, the equation of the line that satisfies the given conditions is y = 2x + 7.

learn more about "Equation":- https://brainly.com/question/2972832

#SPJ11

I need a little more information is there anymore that you could give me?

A rectangular prism is a three-dimensional shape, which has six rectangular faces. The cross-section perpendicular to the base and parallel to the front of the given rectangular prism is a rectangle whose area and perimeter are to be determined.

A rectangular prism with length l, width w, and height h has a volume of V = l × w × h. Let the length, width, and height of the rectangular prism be l, w, and h, respectively. Therefore, the given rectangular prism has a rectangle of height h and width w as its base.

The cross-section perpendicular to the base and parallel to the front of the given rectangular prism is a rectangle of height h and length l. Thus, the area of the rectangle is given by the product of its length and width. That is, the area of the rectangle is A = l × h. Therefore, the area of the rectangle is blank.  

The perimeter of the rectangle is given by the sum of the lengths of its sides. The rectangle has two sides of length l and two sides of length h. Therefore, the perimeter of the rectangle is P = 2l + 2h.

Hence, the perimeter of the rectangle is blank inches.

Therefore, the area of the rectangle is blank and the perimeter of the rectangle is blank inches.

To know more about prism visit:
https://brainly.com/question/12649592

#SPJ11

Slope means inclination of the line

Intercept means the point where the line cuts the y axis

general form of the quation is

y= mx + b. Here m is the slope(inclination) , and b is intercept

then replace m=1/5. b=-4

y=(1/5)x + (-4) = (1/5)x -4

Answer:

Step-by-step explanation:

Cost of the job comprises of one of fee and hourly charge. Given:

Let C be the total cost, then required equation is:

Answer:

25t+75=cost of job

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Hope this helps!

Find the surface area of a Cuboid of length, breadth, and height equal to 12 cm, 8 cm and 5 cm respectively.

\( \bullet \) Length (l) of a Cuboid is 12 cm.

\( \bullet \) Breadth (b) of a Cuboid is 8 cm.

\( \bullet \) Height (h) of a Cuboid is 5 cm.

The surface area of a Cuboid.

We know,

Formula of surface area of a Cuboid is 2(lb + bh + lh) sq units.

So, Surface area of a Cuboid = 2(12×8 + 8×5 + 12×5) sq cm.

= 2(96 + 40 + 60) sq cm.

= 2 × 196

= 392 sq cm

Answer:

D: x=-3/k

Step-by-step explanation:

kx+7=4 (Subtract 7 from both sides)

kx=-3 (Divide both sides by k)

x=-3/k

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

The Fourth vertices of the square are (- 4, 13)

We have to give that,

Jamal drew a square on a coordinate plane.

And, the first three vertices of the square are: (-4,4), (5,4), and (5,-5).

Let us assume that,

Fourth vertices of square = (x, y)

Now, the Midpoint of (-4,4), and (5,4),

M = (- 4 + 5)/2, (4 + 4)/2

M = (1/2, 4)

Which is the same as the midpoint of (x, y) and (5, - 5).

(5 + x)/2, (y - 5)/2 = (1/2, 4)

Solve for x and y,

(x + 5)/2 = 1/2

x + 5 = 1

x = 1 - 5

x = - 4

(y - 5)/2 = 4

y - 5 = 8

y = 13

Therefore, Fourth vertices of square = (- 4, 13)

To learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ4

Answer:

x = 0 or x = 1/4

Step-by-step explanation:

You are able to factor out 3x² from 12x³ - 3x² to get 3x²(4x-1).

Set everything to zero and solve.

The confidence interval estimate of the difference between two population means is a range of values that we can be confident contains the true difference between the means.

To calculate the confidence interval estimate of the difference between two population means, we need to use the formula:

CI = (x₁ - x₂) ± tα/2 ×SE

where x1 and x2 are the sample means, tα/2 is the critical value from the t-distribution table at a chosen level of significance α/2, and SE is the standard error of the difference between the two means.

The confidence interval estimate gives us a range of values within which we can be confident that the true difference between the two population means lies. The margin of error is determined by the critical value and the standard error.

It is important to note that a negative value for the confidence interval estimate indicates that the mean of the first population is smaller than the mean of the second population. Conversely, a positive value indicates that the mean of the first population is larger than the mean of the second population.

In summary, the confidence interval estimate of the difference between two population means is a range of values that we can be confident contains the true difference between the means. The margin of error is determined by the critical value and the standard error. A negative value indicates that the mean of the first population is smaller than the mean of the second population, while a positive value indicates the opposite.

To calculate the confidence interval estimate, we need to obtain two samples from the populations of interest, calculate the sample means and the standard deviation of each sample, and then calculate the standard error of the difference between the means. The critical value is determined based on the level of significance chosen for the test, and the degrees of freedom, which depend on the sample sizes. Once we have all the necessary values, we can use the formula to calculate the confidence interval estimate. The confidence interval is typically expressed as a percentage, with 95% being the most commonly used level of significance.

Learn more about Range:

brainly.com/question/29204101

#SPJ11

Answer:

c) right isosceles triangle

Step-by-step explanation:

two equal sides and a 90 degree angle make a right isosceles triangle

Answer:

5 x 6 = 30 your outcome

2, you can either get white or red

2/30 = 1/15

Answer: 360  your multiplying 40x9=360.

Step-by-step explanation:

Answer:

x=4.4t

Step-by-step explanation:

you have to divide to find a constant rate

so  40/99 equals 4.4

natalie can paint 4.4 square feet every minute

x being constant and 4.4 equals that times time and thats the equation

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

Learn more about area here

https://brainly.com/question/25292087

#SPJ11