Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.

Answer:

Answer:

m = 4

Step-by-step explanation:

We know that,

( 15 , -3 ) ⇒ ( x₁ , y₁ )

( 17 , 5 ) ⇒  ( x₂ , y₂ )

You have to use y = m x + c to find the equation of the line.

Here,

m = slope

c = y - intercept

Let find the slope now.

\(m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }\)

\(m=\frac{-3-5}{15-17}\)

\(m=\frac{-8}{-2}\)

\(m=4\)

Slope = 4

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

Amount of dividend that PRH will receive is $833,625.

Step-by-step explanation:

The following are given in the question:

Total number of shares of Marks Brothers = 78,000

Percentage of shares of Marks Brothers held by PRH = 19%

Dividend per share = $56.25

Therefore, we can now proceed as follows:

Number of shares of Marks Brothers held by PRH = Total number of shares of Marks Brothers * Percentage of shares of Marks Brothers held by PRH = 78,000 * 19% = 14,820

Amount of dividend that PRH will receive = Number of shares of Marks Brothers held by PRH * Dividend per share = 14,820 * $56.25 = $833,625

The amount of dividend that PRH will receive is $833,625.

Number of shares of Marks Brothers held by PRH is

= Total number of shares of Marks Brothers × Percentage of shares of Marks Brothers held by PRH

= 78,000 × 19%

= 14,820

Now  

Amount of dividend that PRH will receive = Number of shares of Marks Brothers held by PRH × Dividend per share

= 14,820 × $56.25

= $833,625

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The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer:

  2.  36, 72

  3.  12, 24

  5.  30, 60

  6.  60, 120

Step-by-step explanation:

You want the first two common multiples of the pairs of numbers ...

The least common multiple (LCM) can be found as the product of the numbers, divided by their greatest common factor (GCF). The greatest common factor can often be found as the difference between the numbers. If one of the numbers is a multiple of the other, then the GCF is the smaller number.

The first two common multiples will be the LCM, and 2 times the LCM.

The difference is 6, which is a divisor of both numbers. That is the GCF, and the LCM is ...

  LCM = 12·18/6 = 36

  2·LCM = 72

The first two common multiples are 36 and 72.

The smaller number, 4, is a factor of 12, so 12 is their LCM.

  2·LCM = 24

The first two common multiples are 12 and 24.

The difference is 5, which is a divisor of both numbers. That is the GCF, and the LCM is ...

  LCM = 10·15/5 = 30

  2·LCM = 60

The first two common multiples are 30 and 60.

The difference is 3, which is a divisor of both numbers. That is the GCF, and the LCM is ...

  LCM = 12·15/3 = 60

  2·LCM = 120

The first two common multiples are 60 and 120.

__

Additional comment

Euclid's algorithm for finding the GCF goes like this:

When the smaller number is more than half the larger, the remainder from the first division is the difference of the two numbers. If it divides the smaller number, then it is the GCF. In 3 of 4 cases above, the difference was the GCF. In the number pair (4, 12), the remainder from 12÷4 is 0, so 4 is the GCF.

You can also find the LCM by factoring the numbers and identifying unique factors. The LCM will be the product of those. In many cases, we find using the GCF to be easier.

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Answer:

When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Step-by-step explanation:

Answer:

example: 1x+2x+5y+3y

if you combine like terms you would be combining anything with a x to other x's and anything with a y to other y's.. etc..

the example combined would be: 3x+8y

hope I was able to help

Step-by-step explanation:

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

(-1, 1)

Step-by-step explanation:

Just look at where the two lines intersect and thats the soloution

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given function,

y = 2x + 1

For y-intercept x = 0

y = 2(0) + 1 = 1

Thus, the y-intercept is 1.

In the graph, the line passes the y-axis at y = 1.

Hence "The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function".

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The given question missing the graph attached below ;

Answer: \(73^{\circ}\)

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

Answer:

Subtotal 70.00

15% Tip 10.50

Total 80.50

Step-by-step explanation:

1% 0.70

2% 1.40

3% 2.10

4% 2.80

5% 3.50

6% 4.20

7% 4.90

8% 5.60

% Tip

9% 6.30

10% 7.00

11% 7.70

12% 8.40

13% 9.10

This dude above is trash and wrong, I got a 0 because of him

The two positive numbers are 55, and 55.

Given that,

Two positive numbers whose product is a maximum and whose sum is 110.

To Find :  Two positive real numbers with a maximum product whose sum is 110.

x + y = 110

x = 110-y

Area = xy = (110-y)y

A = 110y-y^2

Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55

x + y = 110

x + 55 = 110

x = 55

and y is also 55.

Therefore, the two positive numbers are 55, and 55.

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The simple interest on the principal amount of $700 at the rate of 3.3% will be equal to $92.4.

The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.

Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.

As per the values given in the question,

Principal amount, P = $700

Rate, r = 3.3%

Time, t = 4 year

Then, use the formula of simple interest.

\(SI = \frac{(P*r*t)}{100}\)

SI = (700 × 3.3 × 4)/100

SI = 9240/100

SI = $92.4

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Answer:

x = 9

Step-by-step explanation:

1) a²+12²=15²

2) a²+144=225

3) a²=81

4)\(\sqrt{81\\}\)=9

Answer: 1.624 gallons

Step-by-step explanation:

It takes 8.12 gallons to paint the full fence. You only need 1/5 of that. You can turn 1/5 into a decimal if it helps. In this case, that would be 0.2

8.12 x 0.2 = 1.624

Answer:

the answer is 3

If you add -20 + 23 you get 3

Answer: 42.7 minutes

Step-by-step explanation:

There are 72 minutes in 1.2 hours (60 * 1.2 = 72)

If you can walk 4.7 miles in 72 minutes, how many minutes does it take to walk 2.79 miles?

First you need find out what 2.79 / 4.7 equals

2.79 / 4.7 = 0.593617

Now to find out how many minutes it takes to walk 2.79 miles, you multiply 0.593617 by 72

72 * 0.593617 = 42.740424

42.740424 rounds down to 42.7

The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

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The coordinate of C( a+c , b) ,  AC are ((a+c)/2 , b/2) , BD are ((a+c)/2 , b/2)

Coordinates is the value assigned to a point in a x-y graph to determine its location.

The coordinates of parallelogram is

A ( 0,0) B (a,0) , C ( __ , ___) , D ( c , b)

The y coordinate is same as D as b

and the x coordinate will be a+c

C( a+c , b)

The coordinate of the mid point of AC are ((a+c)/2 , b/2)

The coordinate of the mid point of BD are ((a+c)/2 , b/2)

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Duplicate don't answer!

Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

They are made up of gases.

Step-by-step explanation:

Just had the question not too long ago. "The composition of stars can vary. Most stars, however, are made of mostly hydrogen and helium (73% hydrogen, 25% helium, and 2% other elements)." - from my notes

Answer:

A

Step-by-step explanation:

They are made of gases

Answer:

x = -5

Step-by-step explanation:

One is given a function and the value of the function at a certain output. One must set the function to the given output, and solve to find the input,

h(x) = - x - 2

h(x) = 3

Set the output equal to the input,

h(x) = - x - 2 = 3

Inverse operations,

- x - 2 = 3

    +2    +2

- x = 5

*-1   *-1

x = -5

Answer:

x = -4, 7

Step-by-step explanation:

We are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.

f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.

We can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.

On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.

This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.

So,  it means that x = -4, 7.

P = 129

AS = 52

QR =?

Apply secant angle theorem.

The missing arc = 206