Ttwo cycliss leave towns160 miles apart at the same time and travel toward each other. One cyclist travels 8 mi/h faster than the other. If they meet in 5 hours, what is the rate of each cyclist?

The following events is B∩E.

let R be the event of drawing a red card,

b the event of drawing a blue card,

A stack of cards contains two red cards numbered 1,2.

Four blue cards numbered 1,2,3,4.

e the event of drawing an even-numbered card, and

o the event of drawing an odd.

From given data,

R={R1,R2} R1 mean 1 number red card

B={B1,B2,B3,B4}, B1 = 1 number blue card

E={R2,B2,B4}

O={R1,B1,B3}

here we need find to event of blue 1 card.

Drawing the blue 1 is event of B∩E

Therefore, the following event is B∩E.

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a stack of cards contains two red cards numbered 1,2 and four blue cards numbered 1,2,3,4. let r be the event of drawing a red card, b the event of drawing a blue card, e the event of drawing an even-numbered card, and o the event of drawing an odd card. drawing the blue 1 is an example of which of the following events? select all correct answers.

a) B∪E

b) B∩E

Answer:

why in kilometers? 87.3 km/h

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

A) the angle ( 7π)/4 is in the third quadrant.

B)  the reference angle is π/4 radians or 45°

C) sin(7π/4) = -√2/2

D) cos(7π/4) =  - √2/2

1) The 3rd quadrant is located in the graph's lower left-hand corner. It has negative values for both x and y. The fourth quarter is in the lower right-hand corner, with a positive x and a negative y value.

2) For the angle ( 7π) /4, the nearest multiple   of 2π is 2π.

2π -  (7 π ) /4 = (8π) / 4 - (7π)/4   = π/4

hence  the reference angle is π/4 radians or 45 degrees.

3)  The reference angle for (7π)/4 is π/4.

sin(7π/4) = - sin(π/4) = -1/√2

= -√2/2

cos(7π/4) = -  cos(π/4) = -1/√2

=  

- √2/2

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Answer:

t=1.33333 seconds

Step-by-step explanation:

1. We are give the the position function, s(t). We must differentiate s(t) twice in order to find the acceleration function, a(t).

s(t) = t⁶-2t⁵

Taking the power rule to differentiate s(t), we find the velocity function, v(t).

v(t) = d/dt (t⁶-2t⁵)

v(t) = 6t⁵-10t⁴

Differentiate v(t) using the power rule again to find the acceleration function, a(t).

a(t) = d/dt (6t⁵-10t⁴)

a(t) = 30t⁴-40t³

2. To find the other t value where acceleration is equal to zero, we must set a(t) to zero.

a(t) = 30t⁴-40t³ = 0

3. Algebraically solve for t. Factoring out 10t³ from a(t), we have:

10t³(3t-4)=0

Our solutions are t=0 and t=4/3.

The other value of t when acceleration is equal to zero is 4/3, or 1.33333 seconds.

Answer:

$120.

Step-by-step explanation:

Just multiply 4 by 5 since it makes 20. Since we know that the price for 4 people is $24, you multiply 24 by 5 since you are paying for 20 people.

An equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is Linear Equation.

Linear equations are useful in research and in many daily applications.

They let scientists to define physical relationships between two variables, make predictions, compute rates, and perform conversions, among other things.

Graphing linear equations aids in identifying trends.

Linear equations are particularly useful in mathematics because they may be used to simulate any real-world phenomenon in which one variable changes at a constant pace in relation to another variable.

As a result, they are extremely valuable for modeling, forecasting, and assessing real-world applications.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

an equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is ________ ?

Answer:

72

Step-by-step explanation:

Calculation to Determine the number of different lawn plots she needs

Using this formula

Number of different lawn plots needed=Fertilizer type* Temperature zone *Water treatment

Let plug in the formula

Number of different lawn plots needed=3*4*6

Number of different lawn plots needed=72

Therefore the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration will be 72

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

Step-by-step explanation:

The given function is

The domain is all the values of x that make the function defined

Since all real numbers make f(x) defined, then

The domain is all real numbers

The range is all values of y corresponding to the domain

The range also is all real numbers

To find the zeroes equate f(x) by 0

Add 6 to both sides

Divide both sides by 3

The zero of the function is (2, 0)

To draw the graph we will use 2 points

(2, 0) x-intercept

(0,-6) y-intercept

The red line is the graph of the given function

Answer:

Help me with this please

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

x=W/10y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

14200

Step-by-step explanation:

Me=smarty

Answer:

The fraction is 1/6.

Step-by-step explanation:

In two hours, there are six 20 minute intervals. One interval of them would be 1/6.  

First order approximation = (sin(x+dx)/(x+dx)^3 - sin(x)/x^3)/dx and ((sin(x-(2*dx))/(x-(2*dx))3) is a formula for calculating the fourth-order

Function output for the first order approximation is first order approx (x,dx)

(x3*(cos(x)) analytical derivative =

-sin(x)*3*x^2)/x^6;

First order approximation: % forward differencing = (f(x+dx) - f(x))/dx%

first-order approximation = (sin(x)/x3 - sin(x)/x+dx)/(x+dx)3)/dx;

output is equal to Abs(FirstOrderApproximation - AnalyticalDerivative);

end

Function output for the fourth-order approximation is fourth-order approx (x,dx)

(x3*(cos(x)) analytical derivative =

-sin(x)*3*x^2)/x^6;

((sin(x-(2*dx))/(x-(2*dx))3) is a formula for calculating the fourth-order approximation. 8*(sin(x-dx))/(x-dx) + 8*(sin(x+dx))/(x+dx) - ((sin(x+(2*dx))/(x+(2*dx))3))/(12*dx);

output for the error term is abs(approximation of first order - analytical derivative);

end

Know about first-order approximation

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Answer:

7000x- 28% = 1960

so the answer is 28%

Step-by-step explanation: Its just trial and error. If you have more questions on this topic just try using the calculator and use the x and - method above :)

Answer:

172   ft^3

Step-by-step explanation:

Treat the whole thing as a slid....then subtract the cut out part

8 x 6 x 4     -    2 x 5 x 2     = 172 ft^3

Answer:

205

Step-by-step explanation:

Given

N(t) = 100 + 15t is the equation of the relation.

We're asked to find N(7)

Taking a look at the question again and putting it side by side the equation

N(t)

N(7)

We can deduce that t = 7, and as such, solve for it in the equation given

N(7) = 100 + 15(7)

N(7) = 100 + 105

N(7) = 205

Therefore, the number of unread mails after 7 days will be 205

Answer:

-1

Step-by-step explanation:

the additive inverse of -5is5 because (-5+5=0) &

the multiplicative inverse of -5is 1/-5. because (-5*1/-5=1)

therefore 5*1/-5=5/1*1/-5

=5/-5

=-1

Answer:

The flight to Portland takes 10.6 hours.

Step-by-step explanation:

To find the time of flight to Portland we need to calculate the distance traveled by using the equation:

\( x = v*t \)

Where:

v: is the speed = 204 mph (return flight)

t: is the time = 12 h (return flight)

\( x = v*t = 204 mi/h*12 h = 2448 mi \)

Now, we can find the time of flight to Portland using v = 232 mph:

\(t = \frac{x}{v} = \frac{2448 mi}{232 mi/h} = 10.6 h\)

Therefore, the flight to Portland takes 10.6 hours.

I hope it helps you!                      

Answer:

  see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

__

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

  y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

  y +2 = -3(x -4)

  y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a run of +1 will result in a rise of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29