Oordinates of point that divides the join of A (-6, 3) & B (5, -2) in ratio 2 : 3 externally _________.

Answer:

$8

Step-by-step explanation:

If it's 75% of that mean 2=25%

multiply it by 4 to get 8

The expression 33 - 9 + 40 - (30 + 15) simplifies to 19.

To solve the expression 33 - 9 + 40 - (30 + 15), we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. Inside the parentheses, we have 30 + 15, which equals 45.

The expression now becomes: 33 - 9 + 40 - 45.

2. Next, we perform the subtraction within the parentheses, which is 33 - 9, resulting in 24.

The expression now becomes: 24 + 40 - 45.

3. Now, we proceed with the addition from left to right. Adding 24 and 40 gives us 64.

The expression now becomes: 64 - 45.

4. Finally, we perform the subtraction, 64 - 45, which equals 19.

Therefore, the value of the expression 33 - 9 + 40 - (30 + 15) is 19.

In summary, we simplified the expression using the order of operations. First, we evaluated the expression within the parentheses, then performed the remaining addition and subtraction operations in the correct order. The result is 19.

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The question probable may be:

33-9+40-(30+15) = ??

Replace ( ?? ) with the correct answer and explaination​

Answer: The correct answer is b

Step-by-step explanation:

25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08

The most likely term that describes is  partial pressure, the correct option is C.

We are given that;

Gases in the atmosphere= carbon dioxide, oxygen, and nitrogen.

Now,

The partial pressure of a gas is the pressure that the gas would exert if it occupied the same volume and temperature as the mixture of gases. The total pressure of a mixture of gases is equal to the sum of the partial pressures of each gas. For example, if a container has 2 atm of oxygen and 3 atm of nitrogen, the total pressure is 5 atm, and the partial pressure of oxygen is 2 atm and the partial pressure of nitrogen is 3 atm.

The scientist is measuring the pressure that each gas exerts in the atmosphere, which is a mixture of gases. Therefore, she is measuring the partial pressure of each gas. This term most likely describes what she is measuring.

Therefore, by Boyle's rule the answer will be partial pressure

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Answer: Rr.3,000

Step-by-step explanation:

The interest is the amount that accrues on a principal that was invested or a cost that was incurred.

It is based on a certain interest rate which in this case is 15%.

The principal is Rr. 20,000.

Interest = Principal * Interest rate

= 20,000 * 15%

= Rr.3,000

Answer:

The starting height of the chairlift

The total profit that is earned is 4512.5

100 - q = 0

q = 100

Maximization is where q = 0

MR = mc

100 - q = 5

such that q = 95

Price would be  100 -0.5(95)

= 100 - 47.5

= 52.5

Profit earned would be

= 95*52.5 -5*95

= 4512.5

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The correct order of the portfolios' levels of risk from lowest to highest is  Portfolio 1, Portfolio 3, Portfolio 2.

Option B is correct

We take a look at the investments in each portfolio:

for Portfolio 1:

Stock in Large, Old Corporation: $1,800

Stock in Emerging Company: $600

U.S. Treasury Bond: $1,100

Junk Bond: $500

Certificate of Deposit: $1,700

for Portfolio 2:

Stock in Large, Old Corporation: $2,200

Stock in Emerging Company: $1,200

U.S. Treasury Bond: $3,500

Junk Bond: $1,300

Certificate of Deposit: $4,200

for Portfolio 3:

Stock in Large, Old Corporation: $400

Stock in Emerging Company: $5,500

U.S. Treasury Bond: $1,200

Junk Bond: $3,000

Certificate of Deposit: $600

We know that the stocks carry higher risk compared to bonds, and within stocks the upcoming companies can be riskier than large, old corporations.  

We see that the  correct order of the portfolios' levels of risk from lowest to highest is: Portfolio 1, Portfolio 3, Portfolio 2

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Answer:

2(1/4) cups   2 cups and a quarter

Step-by-step explanation:

⅞ + ⅝ + ⅜ + ⅜ = 18/8

= 2 (2/8) = 2(1/4)

There are 9/4 cups of batter did Chris make.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Chris made a batter with ⅞ cup of flour, ⅝ cup of milk, ⅜ cup of butter and ⅜ cup of sugar.

Hence, Number of cups of batter did Chris make are,

⇒ 7/8 + 5/8 + 3/8 + 3/8

⇒ (7 + 5 + 3 + 3) / 8

⇒ 18/8

⇒ 9/4

Thus, Number of cups of batter did Chris make are, 9/4

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Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

acc  to our question-

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Answer:

Mean:15 Median:15 Mode:15

Step-by-step explanation:

Mean: 14+14+15+15+16+15+15+16= 120

120/8=15

Median: 14,14,15,15,15,15,16,16

Median is sorted from least to greatest and then it is the number that is in the middle

Mode is 15 because 15 appears the most often

46 + 13 = 59

The answer is 59.

Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

The four expressions are: (1). 6+6+6 = 18  (2). 6 to the power of 3 = 6 x 6 x 6 = 216 (3). 3 to the power of 6 = 3 x 3 x 3 x 3 x 3 x 3 = 729  (4). 3x6 = 18

What is an expression?

An expression is a combination of numbers, variables, and operations (such as addition, subtraction, multiplication, and division) that represents a mathematical relationship or value.

Expressions can be simple, such as "2 + 3", or more complex, such as "(4x - 6) / (2y + 1)". They can also include functions, exponents, logarithms, and other mathematical symbols and structures.

Expressions can be evaluated or simplified, often to a single value or a simplified form that makes it easier to analyze or work with. They are used extensively in algebra, calculus, and other areas of mathematics to represent mathematical relationships and solve problems.

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Answer:

1/6 I think. but for each individual its 1/6 but for all three, i don't know sorry

Step-by-step explanation:

Answer:

y = 10√16) = 40

Step-by-step explanation:

This says, "y is proportional to the square root of x."  We are told that y = 60 when x = 36.  Find the formula for this function.  Then, determine what value y will take on when x = 16.

y = k√x  becomes 60 = k√36, or 60 = 6k.  Then k must be 10, and the formula is y = 10√x.

If x = 16, y = 10√16) = 40

Answer:

1/6

Step-by-step explanation:

All the equations that have 10² = 100 as a solution are given as follows:

We have to solve the equations and verify if the solution is equals to 100.

All the equations have the following format:

ax = b

Isolating the variable x, the solutions are given as follows:

x = b/a.

The first equation is:

0.031x = 31

The solution is:

x = 31/0.031 = 1000 = 10³.

The second equation is:

0.501x = 501

The solution is:

x = 501/0.501 = 1000 = 10³.

The third equation is:

4.08x = 408.

The solution is:

x = 408/4.08 = 100 = 10². (one of the correct options).

The fourth equation is:

0.97x = 97.

The solution is:

x = 97/0.97 = 100 = 10². (one of the correct options).

The fifth equation is:

0.55x = 550.

The solution is:

x = 550/0.55 = 1000 = 10³.

The equations are:

The problem asks for which of these equations 10² = 100 is a solution.

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Pi written as 3.l4 and π in mathematics is the ratio for the diameter of a circle to the circumference of that circle. The value is unending

Pi, which is represented by the Greek letter p, or, is a shorthand for the ratio of a circle's diameter to its circumference. No matter how big the circle is, this ratio will always be equal to pi. The value of pi is about 3.14 in decimal notation.

We are to multiply Pi to any equation

let the equation be (20.5 + 3x)\(\pi\)

pi is represented in numbers by 3.14

Hence we would have the equation to be of the form

(20.5 + 3x)3.14

multiply through the bracket

64.37 + 9.42x

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There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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Answer:

x = 14

y = 37

Step-by-step explanation:

3x + 9x +12 = 180 {linear pairr}

    12x + 12 =180

         12x = 180 - 12

          12x = 168

             x = 168/12

x = 14

3x  = 3*14 = 42

4y - 10  + 3x = 180         {linear pair}

4y - 10 + 42 = 180

          4y + 32 =180

               4y  = 180 - 32

               4y = 148

                 y = 148/4

                y = 37

Answer:

19 nickels, 57 dimes, and 114 quarters

Step-by-step explanation:

57/3 = 19

1 × 19 = 19

3 × 19 = 57

6 × 19 = 114

Answer:

First Choice:  slope: 2    y-intercept: -2

Step-by-step explanation:

Take two plotted points, ex: (2, 2) and (3, 4)

Use slope formula: y2- y1 / x2 - x1 

(2, 2) - (x1, y1)

(3, 4) - (x2, y2)

4 - 2 / 3 -2 = 2 / 1 = 2 (slope)  

**Also, the graph is increasing so the slope must be positive**

Now for the y-intercept, the line passes through "-2" on the y-intercept. Therefore, the y-intercept must be "-2". 

If this was in slope-intercept form, it would look like; y = 2x - 2. The answer to your question is the first choice. Hope this helps! :)

Answer:

angle BAC = 50.5°

Step-by-step explanation:

To find the size of angle BAC, we will follow the steps below;

First, we will use Pythagoras theorem to find side AC

from the diagram, AB = 14 cm       BC = 17 cm

Using Pythagoras theorem,

AC² = AB² + BC²

        = 14² + 17²

         =196 +289

           =485

AC² = 485

Take the square root of both-side

AC = √485

AC = 22 .023

AC = 22.023 cm

angle <B = 90°

Using the sine rule,

\(\frac{sin A}{a}\)   =  \(\frac{sin B}{b}\)

A = ?

a=BC = 17 cm

B = 90°

b = AC = 22.023 cm

we can now [proceed to insert the values into the formula and then solve for A

\(\frac{sin A}{a}\)   =  \(\frac{sin B}{b}\)

\(\frac{sin A}{17}\)  = \(\frac{sin 90}{22.023}\)

cross - multiply

22.023× sinA = 17× sin90

Divide both-side of the equation by 22.023

sin A = 17 sin90 / 22.023

sin A = 0.771920

Take the sin⁻¹ of both-side of the equation

sin⁻¹sin A = sin⁻¹0.771920

A = sin⁻¹0.771920

A≈ 50.5°

Therefore, angle BAC = 50.5°

To answer this question we are going to perform a normal approximation to the binomial distribution.

We know that if X is binomial random variable we can approximate it to a normal distribution with:

In this case we have that:

Then the approximate normal distribution will have mean and standard deviation:

Now that we have the normal approximate distribution we need to calculate for this normal distribution:

we have that:

A=68,B=44

the interior angle of triangle is 180

A+B+C=180

x+x-24+68=180

2x+44=180

2x=180-44

2x=136

x=68

A=x=68

B=68-24=44

answer:

15/8

- this is the simplest form.

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Answer:

15/3

Step-by-step explanation:

You only need to multiply the top...

5/8x3

5x3

15

Then bring down the 8...

15/8