On my bike, I was able to travel 40 miles in one hour. From this information, we can determine the bike's (2 points)
a
speed
Ob
velocity
ос
acceleration
Od
direction

Answer:

x = 8

Step-by-step explanation:

10/(3x+1) = 22/(7x-1)   ---->set up proportion

10(7x-1) = 22(3x+1) ----> cross multiply

70x - 10 = 66x + 22  --------> distribute

4x = 32

x = 8

The displacement field in Eulerian form is x1 = cos(ωt)x + sin(ωt)y, x2 = -sin(ωt)x + cos(ωt)y and x3 = kX3tz + X3.

To determine the displacement field in Eulerian form, we need to express each coordinate x1, x2, and x3 as a function of the Eulerian coordinates (x, y, z) and time t.

Starting with x1, we have:

x1 = X1 cos(ωt) + X2 sin(ωt)

Using the trigonometric identity cos(α + β) = cos(α)cos(β) - sin(α)sin(β), we can rewrite this as:

x1 = X1 cos(ωt)cos(0) + X2 sin(ωt)cos(0) + 0sin(ωt)sin(0) + 0cos(ωt)sin(0) + 0sin(ωt)cos(0) + 0cos(ωt)cos(0)

Notice that this expression matches the form:

x1 = a11x + a12y + a13z + a14t + a15

where a11 = cos(ωt), a12 = sin(ωt), a13 = 0, a14 = 0, a15 = 0.

Using the same process for x2 and x3, we get:

x2 = -X1 sin(ωt) + X2 cos(ωt) = -X1 sin(ωt)cos(π/2) + X2 cos(ωt)cos(π/2) + 0sin(ωt)sin(π/2) + 0cos(ωt)sin(π/2) + 0sin(ωt)cos(π/2) + 0cos(ωt)cos(π/2)

which matches the form:

x2 = a21x + a22y + a23z + a24t + a25

where a21 = -sin(ωt), a22 = cos(ωt), a23 = 0, a24 = 0, a25 = 0.

x3 = (1 + kt)X3 = 0x + 0y + kX3t + X3 = 0x + 0y + a33z + a34t + a35

which matches the form:

x3 = a33z + a34t + a35

where a33 = kX3, a34 = 1, and a35 = X3.

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Step-by-step explanation:

The formula for Arithmatic Series is

\(a_n=a_1+(n-1)d\)

where a_1 and a_n are the first and n-th term of the series respectively,

d is the common difference of the series.

Now,

The eigth term is given by,

\(a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d\)

The probability that at most two customers purchase the investment is 0.1875 or 18.75%.

To calculate the probability that at most two customers purchase the investment,  to calculate the probabilities for each possible outcome: 0, 1, and 2 customers purchasing the investment, and then sum them up.

Let's consider the customers as A, B, C, and D, with D being the fourth customer.

Probability of 0 customers purchasing:

P(0 customers) = (1 - probability of sale)²number of customers

= (1 - 0.5)²4

= 0.0625

Probability of 1 customer purchasing:

P(1 customer) = (probability of sale)²1 ×(1 - probability of sale)²3 (since 3 customers won't purchase)

= 0.5²1 ×0.5²3

= 0.5 × 0.125

= 0.0625

Probability of 2 customers purchasing:

P(2 customers) = (probability of sale)²2 × (1 - probability of sale)²2 (since 2 customers will purchase)

= 0.5²2 ×0.5²2

= 0.25 × 0.25

= 0.0625

Now  sum up these probabilities to find the probability that at most two customers purchase the investment:

P(at most 2 customers) = P(0 customers) + P(1 customer) + P(2 customers)

= 0.0625 + 0.0625 + 0.0625

= 0.1875

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Answer:

-1/2

Step-by-step explanation:

y2-y1/ x2-x1

-9-5/ 17-(-11)

-14/ 28

-1/2

Answer:

-4,1

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

Slope-Point form : (y-y1) = m(x-x1)

So,

The equation is 4x -y +32 = 0

Answer:

7 m

Step-by-step explanation:

A square has 4 equal sides so the 4 sides must add up to 28.

28 / 4 = 7m

Answer:

A. -259

B. inverse function is 1/2 √(-x-3)

Step-by-step explanation:

Here, we want to find f(8)

Simply substitute x = 8 in the equation.

The equation is

f(x) = -4x^2 -3

So f(8) = -4(8)^2-3

f(8) = -256-3

f(8) = -259

Inverse of f(x) = -4x^2 -3

Simply equate this to m

m = -4x^2-3

-4x^2 = m + 3

x^2 = (m + 3)/-4

x^2 = -m/4 -3/4

x = √(-m-3)/4

x = 1/2√(-m-3)

Put back the value of x for m

x = 1/2 √(-x-3)

Answer:

N<3

Step-by-step explanation:

Answer:

A) One hundred random students

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

You can substitute 2-6y in for x to create

9y +2(2-6y) = 3

9y + 4 -12y = 3

-3y = -1

y=1/3

Then plug in y for x=2 -6y

x= 2-6(1/3)

2-2=x

x=0

Answer:

12 inches squared :)

Step-by-step explanation:

Area of triangle: hxb/2

Now lets solve!!

4(6)/2

24/2

12

Have an amazing day!!

Please rate and mark brainliest!!

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Using a proportional relationship, it is found that:

a) The independent variable is x.

b) The dependent variable is y = 12x.

c) The domain is of 0 ≤ x ≤ 25.

d) The range is of 0 ≤ y ≤ 300.

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, as shown below:

y = kx

In which:

For this problem, Jennifer makes $12 an hour, hence the constant is of k = 12 and the equation is:

y = 12x.

She can work between 0 and 25 hours, hence:

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5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.

5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.

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Answer:

5

Step-by-step explanation:

N + 4 = 9

N = 9 - 4 = 5

Answer:

They cost 3.89 bc 35.01 ÷ 9 is 3.89 and 3.89 × 9 is 35.01

The distance between each tree should be approximately 43.46 meters.

The circumference of a circle with diameter d is given by πd, where π is the constant pi (approximately 3.14159).

So, the circumference of the circle with a diameter of 96.8 m is:

C = πd = π(96.8) ≈ 304.22 m

To plant 7 trees equally spaced around this circle, we can divide the circumference by 7:

s = C/7 ≈ 43.46 m

Therefore, the distance between each tree should be approximately 43.46 meters.

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Answer:

24 hours are 86400 seconds

Step-by-step explanation:

24(hours) *60(minutes per hour)=1440

1440*60(seconds)=86400

Answer:

Step-by-step explanation:

y=-3x+24

(0,24)

x+2x+x=d is solution set of a linear system whose augmented matrix.

What does matrix mean?

First statement

[ 1 2 3 | d][x]

[ 1 2 3]x=d

x+2x+3x=d

Second statement

Ax=d

Given that A = [ 1 2 3]

[ 1 2 3]x=d

x+2x+3x=d

x+2x+x=d

Then, they are going to have the same solution

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Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with  ways to be done, each thing independent of the other, the number of ways they can be done is:

In this problem, there are 8 events, each with 2 possible outcomes, hence:

Hence, the total number of sequences is given by:

Hence, the total number of sequences is given by:

.

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Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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Answer:

$207

Step-by-step explanation:

We do 1242 / 6 = 207

It costs $207 for each family member.

Answer:

207 each

Step-by-step explanation:

Take the total cost and divide by the number of family members

1242 / 6

207 each

Answer:

The answer in slope intercept form is y = 5/2× -5