Two cities are 3500 miles apart. A plane leaves one of them, traveling towards the other at an average speed of 300 miles per hour. At the same time a plane leaves the other, traveling towards the first, at an average speed of 400 miles per hour. How long will it take them to meet?

The equation that relates the height of the kite to the speed of the wind is: h = 5w.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.

Using the three data points we have, we can calculate the slope of the line as follows:

m = (y2 - y1) / (x2 - x1)

= (75 - 50) / (15 - 10)

= 25/5

= 5

Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.

For example, using the point (10, 50):

50 = 5(10) + b

b = 0

So the equation that relates the height of the kite to the speed of the wind is:

h = 5w

where h is the height of the kite in feet, and w is the speed of the wind in mph.

To learn more about slope from the given link:

https://brainly.com/question/2491620

#SPJ1

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer: I am 97% sure it's D

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

Answer:

d. 6(8+5)

Step-by-step explanation:

First you distribute the 6 to the 8 which gets you 48 and then you distribute the 6 to the 5 to get 30

so you would get 48+30

therefore, d is true

Answer: (6) (8) + (3) (10) and (3) (16) + (6) (5) and 6 (8 + 5) all of them is the same answer as 48+30=78

Step-by-step explanation: Hope this help:D

Answer: 211 in²

Step-by-step explanation:

To find the area of the shaded region, you want to find the area of the rectangle, then subtract the area of the circle and the triangle. First, we need to find the area of the triangle. We know that there is a circle because 2 halves make a full circle.

Area of Circle

A=πr²

A=π(6)²                 [exponent]

A=36π                   [multiply]

A=113

-------------------------------------------------------------------------------------------------------

Area of Triangle

A=bh/2

A=(18)(12)/2         [multiply]

A=216/2               [divide]

A=108

Now that we have the area of the shapes, let's find the area of the entire rectangle.

A=lw              

A=(36)(12)            [multiply]

A=432

With the area of the rectangle, we can subtract the areas.

432-108-113=211

The area of the shaded region is 211 in².

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

for more search question point  

https://brainly.com/question/28162977

#SPJ8

The area of the quadrilateral increases as the lengths of the sides become

the same.

Reasons:

Length of the wire = 32 cm

Length of side of square Arun made, s = 8 cm

Perimeter of the square, P = 4 × 8 cm = 32 cm = Length of the wire

Length of a side of the rectangle David made, L = 9 cm

Perimeter of the rectangle, P = 32 cm = 2·L + 2·B

Where;

B = The breadth of the rectangle

Therefore;

P =  32 cm = 2·L + 2·B = 2 × 9 cm + 2·B

2·B = 32 cm - 2 × 9 cm = 14 cm

B = 14 cm ÷ 2 = 7 cm

The breadth of the rectangle David made B = 7 cm

Therefore;

Breadth of the rectangle Raj made, B = 10 cm

Therefore;

32 cm = 2·L + 2 × 10 cm

2·L = 32 cm - 2 × 10 cm = 12 cm

L = 12 cm ÷ 2 = 6 cm

The length of the rectangle Raj made, L = 6 cm

Therefore;

Learn more about the area of plane shapes here:

https://brainly.com/question/8370300

Answer:  -2

Step-by-step explanation:

4y/4 = -8/4

     y = -2

Answer:

Step-by-step explanation:

Answer is -2

Answer: Sum of 180˚

Step-by-step explanation:

Hence, the supplement of a 20˚ angle is a 160˚ angle. This can be proven again, since 20+160=180 , and supplementary angles have a sum of 180˚ .

Answer:

7 hours and 15 minutes

Step-by-step explanation:

8 - 3/4 = 7 1/4 hours

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

To learn more about the equation from the given link

https://brainly.com/question/28405823

#SPJ1

The amount obtained after 1 year from the whole property is obtained as $27866.82.

The compound interest is can be considered as a case when the interest is added for every interval of time.

The amount for the previous interval becomes the principal for the current one.

The total rent for 9 condos = 9 × 1300 = $11700.

The rate of interest is 7.5% monthly.

Total time = 1 year = 12 months.
The given problem is the case of compound interest for which the expression is given as follows,

A = P(1 + r/100)ⁿ

Substitute the corresponding values to obtain,

A  = 11700(1 + 7.5/100)¹²

    = 27866.82

Hence, the total annual amount received is given as $27866.82.

To know more about compound interest click on,

https://brainly.com/question/14295570

#SPJ1

Answer:

It is the last one

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1.2*10 = 1.2

Answer:

12

Step-by-step explanation:

the "normal form" to write numbers : just the digits and a decimal point when needed.

so, 1.2 × 10 = 12

12 is the normal, standard decimal notation.

in some cases it can be also 12.0 or 12.00 (especially with money).

the other form is the scientific notation, where a number is written with its leading digits and the power of 10 as the total value "weight". like in this example 1.2 × 10¹

Answer: 25

Step-by-step explanation:

20 - 25 = -5

20 - 20 = 0

0 - 5 = -5

Answer:

x=-3

Step-by-step explanation:

Given, f(x) = 10^-3 and f(x)=10^x

Compare the equations

10^-3=10^x

So, x=-3

Answer: x < 18

Step-by-step explanation:

x - 2 < 16

We eliminate 2 to isolate the variable, x by adding 2 to both sides. -2 + 2 = 0.

x < 18

We can test this because 17 is less than 18. Pretend x = 17

17 < 18✅

Mason subtracted 2, instead of adding 2.

In order to graph this, put an open circle at 18, and the arrow should point to the left.

Answer:

8 minutes/1 mile

Step-by-step explanation:

72/9=8     9/9=1

Answer:

12 mins per mile

0.0833 miles per minute

5 miles per hour

The answer u need is 12 mins per mile tho

:)

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

Answer:

\(f(3)=25\)

Step-by-step explanation:

Hi there!

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

Replace x with 3

\(f(3)=3^3-2\\f(3)=27-2\\f(3)=25\)

I hope this helps!

The area of the region enclosed by the curves y=6x² and y=x²+6 is 8.76 unit square and has been drawn.

The definite integral of a function over a limit represents the area under the curve bounded by the limit as given in integration.

As per the given curves,

y=6x² and y=x²+6

The above curves have been drawn.

The intersection points can be calculated by equating both equations as (-1.095,7.2) and (1.095,7.2).

The area enclosed will be as follows,

Area =  \(\int\limits^{1.095}_{-1.095} {[(x^{2}+6)-6x^{2}]} \, dx\)

A = - 5/3[1.095³ + 1.095³] + 6[1.095 + 1.095]

A =  8.76 unit square.

Hence "8.76 unit squares make up the region that is encompassed by the curves y=6x² and y=x²+6".

To learn more about definite integral,

brainly.com/question/29685762

#SPJ1

Answer: it should be 12.8 percent

Step-by-step explanation:

Answer:

Yes, the result does not have statistical significance

Yes, the result has practical significance

Step-by-step explanation:

An experiment or claim may be said to be statistically significant if it's occurence is likely not due to chance for a certain level of stated significance. From the scenario described, it is stated that if vegetarian diet has no effect on blood, then the result obtained wipukd likely occur in less Than 1 of 100 ; this is < 0.01. This means that the effect of vegetarian diet on blood could not have occurred by chance. Hence, result is statistically significant.

The result does have practical significance too, since there is a distinctive difference in blood pressure of non - vegetarians(138mmHg) and Vegetarians (124mmHg).

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Answer:

268

Step-by-step explanation:

400  - 0.33 * 400 = 268