How many integers between 100 and 300 inclusive,are divisible by 10?

The work done by the force is found by taking the dot product of the force vector and the position vector. This is achieved by multiplying corresponding components of the vectors and then adding the results together.

To find the work done by the force, we use the formula Work = Force . Displacement, where the '.' signifies a dot product. In this case, the force vector is fâ = 1.8i^ + 2.2j^ and the position vector, râ = 56i^ +31j^. The dot product between force fâ and the displacement (position vector) râ is calculated by multiplying corresponding i and j components and then adding them together. Therefore, Work = (1.8i^.56i^) + (2.2j^.31j^). Perform the multiplication for both components and then add the results to get the total work done by the force.

https://brainly.com/question/35917320

#SPJ2

To solve this problem, we can use the following ratio formulas to find for the coordinates of the club house:

x = [m / (m + n)] (x2 – x1) + x1

y = [m / (m + n)] (y2 – y1) + y1

Where,

m and n are the ratios (0.5 and 0.5 each since the club house are to be located exactly halfway)

x1 and y1 are the x and y coordinates of the 1st pool (-16, -25)

x2 and y2 are the x and y coordinates of the 2nd pool (18, 23)

Substituting:

x = [0.5 / (0.5 + 0.5)] (18 - -16) + -16

x = 1

y = [0.5 / (0.5 + 0.5)] (23 - -25) + -25

y = -1

Therefore the club house should be located at coordinates (1, -1).

Answer:

  53.3

Step-by-step explanation:

Add one standard deviation to the mean:

  45 +1(8.3) = 53.3

Answer:

53.3

Step-by-step explanation:

+1 standard deviation away from the mean is 45+1(8.3)

formula for volume of a sphere is V=4/3 x pi x R63

if diameter = 16 than radius = 16/2 = 8

 so the equation would be 4/3 x pi x 8^3

Answer:

The correct description is [tex]y=5-\frac{5x}{3}[/tex]

Step-by-step explanation:

In this case, firts we have to organize the equation in the normal way, where y is alone in one side, this is:

[tex]5x+3y=15\\3y=15-5x\\y=\frac{15}{3}-\frac{5x}{3}  \\y=5-\frac{5x}{3}[/tex]

The correct description is [tex]y=5-\frac{5x}{3}[/tex]

Now we can see that the slope of the equation is [tex]-\frac{5}{3}[/tex]

The range in miles is 4.72 mile

mile, any of various units of distance, such as the statute mile of 5,280 feet (1.609 km). It originated from the Roman mille passus, or “thousand paces,” which measured 5,000 Roman feet.

Given : range= 8320 yards

1 mile= 5280 feet

3 feet= 1 yard

Now,

8320yards X 3ft = 24,960

Now,  divide that by 5,280ft in a mile

= 24960/5280

= 4.72 miles

Hence, range is 4.72 miles.

Learn more about miles here:

https://brainly.com/question/23858115

#SPJ2

Final answer:

To convert the artillery piece's range of 8320 yards to miles, you multiply by 3 to change yards to feet and then divide by 5280 to convert feet to miles, resulting in a range of approximately 4.727 miles.

Explanation:

To find the artillery piece's range in miles, starting with its range in yards, we need to use unit conversion factors. Knowing that 1 mile equals 5280 feet and 3 feet equals 1 yard, we can set up a conversion to calculate the distance in miles.

Steps to Convert Yards to Miles:

For an artillery range of 8320 yards:

When you divide 24960 by 5280, you get 4.727 miles (rounded to three decimal places).

0.025 in scientific notation is 2.5 × 10⁻².

To express 0.025 in scientific notation, we need to convert the decimal form to a number multiplied by a power of 10.

Here's how you can do it step by step:

Start with the given decimal number: 0.025.

Identify the non-zero digit. In this case, it is 2.

Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. In this case, we moved the decimal point two places to the right.

0.025 -> 2.5

Write the non-zero digit (2.5) as a decimal number.

Finally, express the power of 10 that represents the number of places you moved the decimal point. Since we moved the decimal point two places to the right, the power of 10 is -2.

Putting it all together, we have:

0.025 = 2.5 × 10⁻²

Therefore, 0.025 in scientific notation is 2.5 × 10⁻².

To know more about scientific notation click here :

https://brainly.com/question/19625319

#SPJ6

To find out how much pizza each of 4 students gets when they equally share 3/4 of a pizza, we divide the amount of pizza (3/4) by the number of students (4). The result is 3/16, which means each student gets 3/16 of the pizza.

The question asks how 4 students can equally share 3/4 of a pizza. In mathematics, to divide a quantity equally amongst a group, we perform division. So, in this scenario, we need to divide 3/4 (the pizza) by 4 (the students).

So, the answer of 3/4 ÷ 4 is equal to 3/16.  Therefore, each student gets 3/16 of the pizza.

https://brainly.com/question/4528098

#SPJ11

To solve this problem, let us first find for the binary equivalents of the numbers. They are:

Decimal --> Binary

+ 29 --> 00011101

+ 49 --> 00110001

- 29 --> 11100011

- 49 --> 11001111

Now we apply the normal binary arithmetic to these converted numbers:

(+ 29) + (- 49) ---> 00011101 + 11001111 = 11101100 ---> - 20 (TRUE)

(- 29) + (+ 49) ---> 11100011 + 00110001 = 00010100 ---> + 20 (TRUE)

(- 29) + (- 49) ---> 11100011 + 11001111 = 10110010 ---> - 78 (TRUE)

To translate situations into inequalities, use context clues and keywords. Start by understanding the relationships and factors involved. Then, represent the situation with variables and create an inequality based on the context clues. For example, if Bob earns $10 more than Alice, the inequality would be 'a < a + 10'.

In order to use context clues and keywords to translate situations into inequalities, it's important to understand the relationships and factors involved. Let's take an example:

Scenario: Suppose you have two friends, Bob and Alice. Bob earns $10 per hour more than Alice. In this case, we can use the following context clues:

We can now translate this situation into an inequality:

By using the context clues and the keywords (earnings, difference), we were able to translate the situation into the inequality 'a < a + 10'.

https://brainly.com/question/4514995

#SPJ3

Answer:  The required difference is [tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6.[/tex]

Step-by-step explanation:  We are given to find the difference of the polynomials as follows :

[tex]DP=(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the given difference, we need to choose the terms with same poers of the unknown variables r and s and then subtract their coefficients.

The difference (i) is as follows :

[tex]DP\\\\=(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)\\\\=8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4\\\\=8r^6s^3+(4-9)r^5s^4+(3-2)r^4s^5+5r^3s^6\\\\=8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6.[/tex]

Thus, the required difference is [tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6.[/tex]

The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]

For example;

                    =  1/2 x base x height

For example;

In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm

Therefore, we use the Heron's formula;

Area= [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

 [tex]s =\frac{(a+b+c)}{2}[/tex]

[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]

Therefore;

Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

       = [tex]22.5\sqrt{22.5(22.5-15)(22.5-10)(22.5-20)}[/tex]

       =[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]

[tex]= 72.618 mm^{2}[/tex]

Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.

Level: Middle school

Subject; Mathematics  

Topic: Area

Sub-topic: Area of a triangle

Answer:

C.  randomization

Step-by-step explanation:

We are told that the study randomly selects participants in the study to sleep in either a dark room or a room with light.  This means that randomization is part of the study.