What is the equation of the line that passes through the point (2, -1) and has a
slope of 3/2

Answer: 49.25

Step-by-step explanation:

Live streaming involves transmitting or receiving live video and audio.

A transmission is defined as a live streaming transmission when the streamed video(with it's corresponding audio) is sent over the Internet in real time, without first being recorded and stored.

Nowadays, live streaming is a quite common feature, with examples such as movies and also with sport leagues, such as the NFL Game Pass or the NBA League Pass.

Hence the first option is the correct option in the context of this problem.

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Answer:

There is one solution  x = 15/19

Step-by-step explanation:

−12x+1=7x−14

Add 12x to each side

−12x+12x+1=7x+12x−14

1 = 19x-14

Add 14 to each side

1+14 = 19x-14+14

15 = 19x

Divide by 19

15/19 = 19x/19

15/19 =x

There is one solution  x = 15/19

Answer:

7%

Step-by-step explanation:

The given differential equation is solved using variation of parameters. We first find the solution to the associated homogeneous equation and obtain the general solution.

Next, we assume a particular solution in the form of linear combinations of two linearly independent solutions of the homogeneous equation, and determine the functions to be multiplied with them. Using this assumption, we solve for these functions and substitute them back into our assumed particular solution. Simplifying the expression, we get a final particular solution. Adding this particular solution to the general solution of the homogeneous equation gives us the general solution to the non-homogeneous equation.

The resulting solution involves several constants which can be determined by using initial or boundary conditions, if provided. This method of solving differential equations by variation of parameters is useful in cases where the coefficients of the differential equation are not constant or when other methods such as the method of undetermined coefficients fail to work.

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Check the picture below.

The length of YZ is 8√5.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is given as πr².

We have,

Line XY and the tangent to the circle at Z intersect at W.

WX = 4, WZ = 8, and WY is perpendicular to WZ.

Now,

From the tangent and secant segment length theorem, we get,

WZ² = WY x WX

8² = WY x 4

WY = 64/4

WY = 16

Now,

From the Pythagorean theorem, we get,

YZ² = WY² + WZ²

YZ² = 16² + 8²

YZ² = 256 + 64

YZ² = 320

YZ = √(320)

YZ = √(64 x 5)

Yz = 8√5

Thus,

YZ is 8√5.

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Answer:

4.375cm

Step-by-step explanation:

You have to look at what volume equals Volume= l×w×h so 3/2 × 5/4 × 7/3

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:

78.5

Step-by-step explanation:

Formula:

A=πr2

d=2r

10/2 = 5 (5 is the radius)

5^2= 25

25 x 3.14 = 78.5

Answer:

yes that w a sbthe answer and I got it right

The nurse should administer 3.5 mL of Lanoxin elixir 0.05 mg/mL to the patient to achieve the desired dose of 0.175 mg.

First, we need to convert the prescribed dose of 0.175 mg to milligrams per milliliter (mg/mL) using the concentration of the Lanoxin elixir, which is 0.05 mg/mL.

To determine how many milliliters of Lanoxin elixir 0.05 mg/mL the nurse should administer to the patient, we need to use a simple formula:

Dose = Desired dose / Stock strength

Where:

Desired dose is 0.175 mg

Stock strength is 0.05 mg/mL

So, substituting the values into the formula:

Dose = 0.175 mg / 0.05 mg/mL

Dose = 3.5 mL

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dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4\).

To find dz/dt for z(x, y) = \(xy^2 + x^2y\), x(t) = at^2, and y(t) = 2at, we'll use the chain rule.

Here's a step-by-step explanation:

Step 1: Find the partial derivatives of z with respect to x and y. \(∂z/∂x = y^2 + 2xy ∂z/∂y = 2xy + x^2\)

Step 2: Find the derivatives of x(t) and y(t) with respect to t. dx/dt = 2at dy/dt = 2a

Step 3: Apply the chain rule to find dz/dt. dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

Step 4: Substitute the expressions from steps 1 and 2 into the chain rule equation. dz/dt = \((y^2 + 2xy)(2at) + (2xy + x^2)(2a)\)

Step 5: Replace x and y with their expressions in terms of t: x = at^2 and y = 2at. dz/dt = \(((2at)^2 + 2(at^2)(2at))(2at) + (2(at^2)(2at) + (at^2)^2)(2a)\)

Step 6: Simplify the expression.

dz/dt = \((4a^2t^2 + 4a^2t^3)(2at) + (4a^2t^3 + a^4t^4)(2a)\)

dz/dt = \(8a^3t^3 + 8a^3t^4 + 8a^3t^3 + 2a^5t^4\)

dz/dt = \(16a^3t^3 + 10a^3t^4\)

So, dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4.\)

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To find the mean, we add up all the numbers in the list and divide by the total number of numbers:Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10 = 27.4To find the median, we first need to put the numbers in order:4, 15, 16, 16, 22, 28, 28, 35, 48, 62The median is the middle number. In this case, there are 10 numbers, so the middle two are 22 and 28. The median is the average of these two numbers:Median = (22 + 28) / 2 = 25To find the mode, we look for the number that appears most often. In this case, both 16 and 28 appear twice, while all the other numbers appear only once. So the mode is 16 and 28.Mode = 16, 28To find the range, we subtract the smallest number from the largest number:Range = 62 - 4 = 58Therefore, the mean is 27.4, the median is 25, the mode is 16 and 28, and the range is 58.

Answer: the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.

Step-by-step explanation:

To find the mean, we add up all the values and divide by the total number of values:

Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10

Mean = 254 / 10

Mean = 25.4

So the mean is 25.4.

To find the median, we need to first put the list in numerical order:

4, 15, 16, 16, 22, 28, 28, 35, 48, 62

The median is the middle number in the list, so in this case it is 25, which is between the 5th and 6th numbers in the list.

So the median is 25.

To find the mode, we need to find the number that appears most frequently in the list. In this case, the numbers 16 and 28 each appear twice, which is more than any other number, so both 16 and 28 are modes of the list.

So the mode is 16 and 28.

To find the range, we subtract the smallest value from the largest value:

Range = 62 - 4

Range = 58

So the range is 58.

Therefore, the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.

Answer: $18.20 per hour

Explanation: $382.20 (total money earned in the span of 21 hours) divided by 21 (hours worked), this will give you the amount of money Kylie earned per hour.

option c is correct that if the two events are mutually exclusive than they cannot be independent.

As, we know that "mutually exclusive events are those events that do not occur at the same time".

Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.

Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually​ exclusive, then when one of them​ occurs, the probability of the other must be zero.

Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.

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Answer:

Hello,

answer B

2

Step-by-step explanation:

\(\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\\)

Answer:

hope this helps

Step-by-step explanation:

a yes

b yes

c no

d yes

Answer:

  2.86 seconds

Step-by-step explanation:

A graphing calculator shows the ball hits the ground at t = 2.86 seconds.

_____

You can use the quadratic formula with a=-16, b=45, c=2:

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-45\pm\sqrt{45^2-4(-16)(2)}}{2(-16)}=\dfrac{45\pm\sqrt{2153}}{32}\approx\{-0.0438,2.8563\}\)

The ball is in the air for about 2.86 seconds.

Answer:

4

Step-by-step explanation:

2+5+8+0+5=20

20÷5=4

have a good day

(a) As this limit is finite and positive, the series is said to converge.

(b) As this limit is finite and positive, the series is said to converge.

(c) The numerator tends to infinity faster than the denominator, so we can say that the series diverges.

(d) As this limit is finite and positive, the series is said to converge.

(a) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=3}^\infty \frac{5n}{7+n^2}$$We have that:$$\lim_{n \to \infty} \frac{\frac{5n}{7+n^2}}{\frac{1}{n}} = \lim_{n \to \infty} \frac{5n^2}{7+n^2} = 5$$

As this limit is finite and positive, the series is said to converge.

(b) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=1}^\infty \frac{\ln^2 n}{n^2}$$We have that:$$\lim_{n \to \infty} \frac{\frac{\ln^2 n}{n^2}}{\frac{1}{n}} = \lim_{n \to \infty} \frac{\ln^2 n}{n} = 0$$

As this limit is finite and positive, the series is said to converge.

(c) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=1}^\infty \frac{2^n}{4^{n-n^2}}$$We have that:$$\lim_{n \to \infty} \frac{\frac{2^n}{4^{n-n^2}}}{\frac{1}{n}} = \lim_{n \to \infty} \frac{n2^n}{4^{n-n^2}}$$

The numerator tends to infinity faster than the denominator, so we can say that the series diverges.

(d) Use the limit comparison test to determine whether the following series converge or diverge:

$$\sum_{n=1}^\infty \frac{\sin(1/n)}{n}$$We have that:$$\lim_{n \to \infty} \frac{\frac{\sin(1/n)}{n}}{\frac{1}{n}} = \lim_{n \to \infty} \sin\left(\frac{1}{n}\right) = 0$$

As this limit is finite and positive, the series is said to converge.

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The time it takes for the trains to be 297 miles apart is 297 miles / 135 mph = 2.2 hours.

To calculate the time it takes for the trains to be 297 miles apart, we can use the formula: time = distance / relative speed. Since the trains are moving in opposite directions, their relative speed is the sum of their speeds.

In this case, the relative speed of the passenger train and the freight train is 60 mph + 75 mph = 135 mph. Therefore, the time it takes for the trains to be 297 miles apart is 297 miles / 135 mph = 2.2 hours.

However, since time is typically measured in whole numbers of hours, we round up the decimal value to the nearest whole number. Therefore, it will take approximately 3 hours for the trains to be 297 miles apart.

It's important to note that this calculation assumes that the trains maintain a constant speed throughout the entire journey and that there are no stops or delays along the way.

Real-world factors such as acceleration, deceleration, and potential stops at stations would affect the actual time it takes for the trains to be 297 miles apart.

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when lines l, m, and n are intersected by two transversal lines and are parallel, the value of x = 12.5 is obtained.

A transversal in geometry is a line that, at two different places, traverses two lines in the same plane. If two or more additional lines in the Euclidean plane are parallel, transversals can help determine this.

Parallel lines l, m, and n are present.

These parallel lines cross two transversal lines.

theorem of intercept

Intercept lengths between parallel lines are proportionate.

\(\frac{16}{x} = \frac{23}{18}\)

x = (16 * 18) /23

x = 12.5

when lines l, m, and n are intersected by two transversal lines and are parallel, the value of x = 12.5 is obtained.

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Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

Answer:

D.$9.78

Step-by-step explanation:

20% of $8.15 $8.15 + $1.63

=8.15 x 20/100 =$9.78

=$1.63

Answer:

c is 90 degrees and b is 10 degrees hope its right

Step-by-step explanation:

Answer:

35492421.7263

Step-by-step explanation:

Answer:

hope it helps

Answer:

EG/HJ=GF/JI or EG/HJ=FE/IH

Step-by-step explanation:

Given

AngleF=AngleI

AngleE=AngleH

Therefore triangles EGF AND HJI are similar by Angle-Angle Similarity Theorem

So

EG/HJ=GF/JI=FE/IH as they are the corresponding sides of a similar triangle

Answer:

12 i tink

Step-by-step explanation:

Answer:

7.65

Step-by-step explanation:

Brand A:

442(times)0.17=75.14 each month

Brand B:

397(times)0.17=67.49 each month

75.14-67.49=7.65

Ms.Lee would save 7.65 each month with brand B

The friend is correct. Split the 2D figure as indicated in the diagram below. The rectangle on the left rotates to form the cylinder. The triangle rotates to form the cone. Think of these as like a revolving door that carves out a 3D shape. Or you could think of propellers.