How many kilometers are there in 4 miles?

Hint: 1 mi ≈ 1.6 km

Round your answer to the nearest tenth.

Answer:

x = (8-6i)/10

x = (8+6i)/10

Step-by-step explanation:

Answer:

The equation written in slope intercept form would be: y=200x+500

and it would be graphed at: 0,500

Step-by-step explanation:

To find the slope intercept equation use the y=mx+b form so m would be 200 and b would be 500.

Answer:

ok

Step-by-step explanation:

Answer:

5.63

Step-by-step explanation:

The value of x in the given triangle is 5.62 cm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angle triangle

We have to find the value of x

We know that by cosine function is a ratio of adjacent side and hypotenuse

cos 62 = x/ 12

0.469 = x/12

Apply cross multiplication

x=12×0.469

x=5.63

Hence, the value of x in the given triangle is 5.62 cm.

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Answer:

Width: 15 Length: 53

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.

3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.

3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.

x - 12 = 5 Add 12 to both sides of the equation.

x = 17

Answer:

\( \displaystyle \rm \longmapsto \:3(x - 4) = 2x + 5\)

\( \displaystyle \rm \longmapsto \:3x - 12 = 2x + 5\)

\( \displaystyle \rm \longmapsto 3x - 2x - 12 = 2x - 2x + 5\)

\(\displaystyle \rm \longmapsto x - 12 = 5\)

\(\displaystyle \rm \longmapsto x - 12 + 12 = 5 + 12\)

\(\displaystyle \rm \longmapsto x = 15\)

Kermit will likely enjoy Peggy's iced tea as it has the same concentration as his favorite iced tea.

Let's compare the ratios of tea bags to water in Kermit's favorite iced tea and Peggy's iced tea to determine what Kermit might think of Peggy's iced tea.

1. Kermit's favorite iced tea ratio:
Kermit uses 15 tea bags in every 2 liters of water. So, the ratio is 15:2.

2. Peggy's iced tea ratio:
Peggy made a 12-liter batch of iced tea with 90 tea bags. So, the ratio is 90:12.

Now, let's simplify both ratios:

1. Kermit's ratio:
15:2 can be simplified to 7.5:1 by dividing both numbers by 2.

2. Peggy's ratio:
90:12 can be simplified to 7.5:1 by dividing both numbers by 12.

Both iced tea recipes have the same ratio of 7.5:1 (tea bags to water), and the tea bags are in the water for the same amount of time. Therefore, Kermit will likely enjoy Peggy's iced tea as it has the same concentration as his favorite iced tea.

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Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

Answer: 1 : 1.2

Step-by-step explanation: Simplify 10 : 12 : 1 : 1.2

Answer:

diameter = 16

Step-by-step explanation:

given AB is a tangent to the circle then ∠ PBA = 90° and Δ ABP is right

using Pythagoras' identity in the right triangle

BP² + AB² = AP²

BP² + 15² = 17²

BP² + 225 = 289 ( subtract 225 from both sides )

BP² = 64 ( take square root of both sides )

BP = \(\sqrt{64}\) = 8

now BP is the radius of the circle , so

diameter = 2 × BP = 2 × 8 = 16

There are 210 ways to choose a president, vice president, and treasurer for a 7-member club, with no person holding more than one office. Each position can be filled by a different member, resulting in 210 unique combinations.

To determine the number of ways to choose the three positions, we can use the concept of permutations. The president can be selected from the 7 members in 7 different ways. Once the president is chosen, there are 6 remaining members to choose from for the position of vice president. Therefore, there are 6 choices for the vice president. Finally, the treasurer can be chosen from the remaining 5 members.

To calculate the total number of ways, we multiply the number of choices for each position:

7 * 6 * 5 = 210.

Hence, there are 210 ways to choose a president, vice president, and treasurer from a 7-member club, with the condition that no person can hold more than one office.

In summary, the answer is that there are 210 ways to select the president, vice president, and treasurer for the 7-member club, with each member occupying only one position.

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Answer:

hey try looking it up on hooda math answers .com

Step-by-step explanation:

Answer: y = 120 degrees, x = 31 degrees

Step-by-step explanation:

Y is 120 degrees because same-side exterior angles are supplementary.

Therefore, 60+ y = 180; y = 120

Since "y" and "4x-64" are supplementary, they add up to 180.

We already know y as 120.

So 120 + 4x - 64 = 180

4x = 124

x = 31

The solutions of the quadratic equation are:

\(x = 1/2 \pm \sqrt{2}\)

Here we want to solve the quadratic equation:

(2x - 1)^2 = 8

To use the quadratic formula, we need to expand this.

(4x^2 - 4x + 1) = 8

4x^2 - 4x + 1 - 8 = 0

4x^2 - 4x - 7 = 0

Remember that for a quadratic equation:

a*x^2 + b*x + c = 0

The quadratic formula is:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)

Then in this case the solutions are:

\(x = \frac{4 \pm \sqrt{(-4)^2 - 4*4*(-7)} }{2*4} \\\\x = \frac{4 \pm \sqrt{128} }{8}\\\\x = 1/2 \pm \sqrt{128/64} \\\\x = 1/2 \pm \sqrt{2}\)

These are the solutions.

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Explanation:

By definition, i = sqrt(-1)

Which means,

sqrt(-64) = sqrt(-1*64)

sqrt(-64) = sqrt(-1)*sqrt(64)

sqrt(-64) = i*sqrt(8^2)

sqrt(-64) = i*8

sqrt(-64) = 8i

On the second line, I used the rule sqrt(x*y) = sqrt(x)*sqrt(y). The fourth line used the rule sqrt(x^2) = x when x is nonnegative.

Answer:

Click 8i for Correct Answer

Step-by-step explanation:

Answer:

mine is wrong go to the other guy its c

Answer:

C. -2x < 5

Step-by-step explanation:

-2(8) < 5

-16 < 5

-16 is less than 5 so it is true.

We need to find the function f(n) whose terms are the same as the series in question. We can then integrate this function from n=1 to infinity and determine if the integral is convergent or divergent. If it is convergent, then the series is convergent. If it is divergent, then the series is also divergent.

To determine whether a series is convergent or divergent using the integral test, we need to first check if the series satisfies three conditions:

1) The terms of the series are positive.

2) The terms of the series are decreasing.

3) The series has an infinite number of terms.

Assuming these conditions are satisfied, we can use the integral test which states that if the integral of the function f(x) from n=1 to infinity is convergent, then the series with terms a_n = f(n) is also convergent. Conversely, if the integral is divergent, then the series is also divergent.

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Answer: Using trigonometry, we can find the length of side AC. Since we know the length of side BC and one angle, we can use the tangent function:

tan(70) = AC/6

Multiplying both sides by 6, we get:

AC = 6 * tan(70)

Using a calculator, we get:

AC ≈ 19.22

Rounding to the nearest hundredth, we get:

AC ≈ 19.22 units.

Answer:2.33

Step-by-step explanation:

Answer:

25.12

Step-by-step explanation:

C = π2r
C = 3.14*2*4
C = 25.12
Hope this helps :)

Answer:

30 .24 m/hr

Step-by-step explanation:

2 hours and 5 minutes  = 2  + 5/60  hours = 2 5/60 hrs

63 miles / (2  5/60) = 30.24 m/hr

Step-by-step explanation:

To find the average speed, we must know this formula :

\( \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ \)

Now, substituting the given values in the formula :

\( \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ \)

\( \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\\)

Therefore,

To find the volume enclosed by the parabolic cylinder and the given planes, we need to subtract the volume under the parabolic cylinder between the two planes from the volume under the upper plane between the same limits.

First, let's find the limits of integration. Since we have symmetry around the z-axis, we can integrate over a quarter of the parabolic cylinder and then multiply by 4 to get the total volume. Since the parabolic cylinder is given by y = x^2, we have:

0 ≤ x ≤ sqrt(y)

0 ≤ y ≤ 4y - (3 + y) (since the upper plane is z = 4y and the lower plane is z = 3 + y)

Simplifying the second inequality, we get:

0 ≤ y ≤ 1

So the limits of integration are:

0 ≤ x ≤ 1

0 ≤ y ≤ x^2

Using the formula for the volume of a solid of revolution, we can express the volume under the parabolic cylinder between the two planes as:

V1 = pi ∫^1_0 (3 + x^2)^2 - x^4 dx

Simplifying the integrand, we get:

V1 = pi ∫^1_0 (9 + 6x^2 + x^4) - x^4 dx

V1 = pi ∫^1_0 (9 + 5x^2) dx

V1 = pi [9x + (5/3)x^3]∣_0^1

V1 = (32/3)pi

Similarly, we can express the volume under the upper plane between the same limits as:

V2 = pi ∫^1_0 (4y)^2 dy

V2 = pi ∫^1_0 16y^2 dy

V2 = (16/3)pi

So the volume enclosed by the parabolic cylinder and the given planes is:

V = 4V2 - 4V1

V = 4[(16/3)pi] - 4[(32/3)pi]

V = -16pi

Therefore, the volume of the solid enclosed by the parabolic cylinder and the given planes is -16pi. Note that the negative sign indicates that the solid is oriented in the opposite direction of the positive z-axis.

The correct answer is B

Answer

In order to use the distributive property I first get the amount of the water fell in ;

One year

1.68mm

A half a year

½× 1.68mm

= 0.84mm

One and a half years (Using the distributive property)

1.68mm + 0.84mm

168mm + 84mm

100. 100

(168÷100) + (84÷100)

(168+84) ÷ 100

252 ÷ 100

252

100

= 2.52mm

Therefore the variation in the water level in the time period was 2.25mm

I am correct because the other person said 2.52 but its -2.52

Answer:

15.5

Step-by-step explanation:

add up all the ranges and devided by 100% and had founded out the reminder was 15.5

To find Ian's number, we can set up an equation using the given information. Let's represent the unknown number as 'x.' The equation would be (x + 8) * (3/4) = -12.

Let's break down the problem and translate it into an equation. Ian says that the sum of his number and 8, multiplied by 3/4, is equal to -12. We can represent his number as 'x.' The sum of his number and 8 can be written as (x + 8). Multiplying this sum by 3/4 gives us (3/4)*(x + 8). And according to the problem, this expression is equal to -12. So, our equation becomes (3/4)*(x + 8) = -12.

To solve this equation and find Ian's number, we can start by isolating x. We can do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3. This gives us (4/3) * (3/4) * (x + 8) = (4/3) * (-12). Simplifying, we get (x + 8) = -16. To isolate x, we subtract 8 from both sides of the equation, giving us x = -16 - 8 = -24.

Therefore, Ian's number is -24.

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the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.

To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:

1. Plot the constraints:

  - Plot the line x1 = 40 (vertical line at x1 = 40).

  - Plot the line x2 = 10 (horizontal line at x2 = 10).

  - Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).

  - Shade the feasible region that satisfies all the constraints.

2. Identify the corner points:

  - Determine the coordinates of the corner points where the boundary lines intersect.

3. Evaluate the objective function:

  - Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.

4. Determine the optimal solution:

  - Select the corner point that maximizes the objective function Z.

Here's the graphical representation of the feasible region:

      |

 40   |           C

      |          /

      |         /

      |        /

      |       /

      |      /

      |     /    Feasible Region

 10   |_____/_________________

      0   10  20  30  40  50

            0`

The corner points of the feasible region are:

A: (0, 0)

B: (0, 10)

C: (25, 0)

D: (20, 5)

Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:

Z(A) = 120(0) + 80(0) = 0

Z(B) = 120(0) + 80(10) = 800

Z(C) = 120(25) + 80(0) = 3000

Z(D) = 120(20) + 80(5) = 2400

From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).

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Reason:

All lines that have undefined slopes are vertical.

Vertical lines are of the template x = h, for some fixed value h. We must have h = 4 so we arrive at the answer x = 4

All points on this particular vertical line have an x coordinate of 4. Two example points are (4,-2) and (4,5)

Answer:

Danny's service is the better deal.

Step-by-step explanation:

You can divide 45 by the amount of time (4 hours) so 45/9 is 5

To find Martin's, you divide 72 by 4, getting 18 dollars.

anwser: I feel like it danny who has best offer .

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2, -2) and (6,3)

The distance between them is

\(d = \sqrt{ ({2 - 6})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 5})^{2} } \\ = \sqrt{16 + 25} \\ = \sqrt{41} \: \: \: \: \: \: \: \: \: \: \\ = 6.403124237...\)

We have the final answer as

Hope this helps you

The sample mean of the given data is 24.

To find the mean:

Therefore, the sample mean of the given data is 24.

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