100,000 subtract from 63,482.50 equals

Hence, the correct option is C.

An equation is a mathematical statement that shows the equality between two expressions.

1. Twice the sum of four and a number can be written as 2(4 + x), where x is the number.

2. The sum of a number and 32 can be written as x + 32, where x is the number.

3. Five is half of a number and 32 can be written as 5 = 0.5x + 32, where x is the number.

To see why, we can use the fact that "half of a number" can be written as 0.5x, so the sentence becomes 5 = 0.5x + 32 and hence become equation.

4.The quotient of 15 and a number can be written as 15/x, where x is the number.

Therefore, 5 = 0.5x + 32, which can be simplified to 0.5x = -27, and then to x = -54.

Hence, the correct option is C.

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Answer:

Terms: 7, 5c, 2k, 15

Variables: C, K

Co efficients: 5, 2

Constants: 7, 15

An important measure of location for categorical data is the mode.

While the mean and median can only be determined for numeric data, the mode can be used to describe categorical variables. The mode's principal benefit as a gauge of central tendency is this. When continuous or discrete variables are expressed as intervals, it is also helpful.

The mode represents the value that occurs most often in a dataset.

A dataset can have no mode (if no value repeats), one mode, or multiple modes.

A set of data values' mode is the value that appears the most frequently. The value x (i.e., X = x) at which the probability mass function takes its maximum value is known as the mode if X is a discrete random variable. In other words, it is the value that will be sampled most frequently.

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The diagram, however, does not have a specific question or prompt circle linked with it. Please provide a question or prompt so that I can better serve you.

Each point that is a particular distance from yet another point creates a circle in the plane (center). As a result, it is a curve composed of points separated in the plane by a given distance. Furthermore, at all angles, it is rotationally homogeneous about the centre. Every combination of points in a circle's sealed, two at least plane is evenly spaced out from the "centre." A circular symmetry line is formed by creating a path through the circle. Furthermore, at all angles, it is axis of rotation symmetric about the centre.

The image you gave looks like a geometric diagram with different shapes and measurements. The diagram, however, does not have a specific question or prompt linked with it. Please provide a question or prompt so that I can better serve you.

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To calculate the energy change associated with an electron transitioning from the n = 4 energy level to the n = 2 energy level, we can use the equation for the energy of an electron in an atom, which is given by:

Where E_n is the energy of the electron in the nth energy level, and eV is the unit of energy called the electronvolt.

Substituting the values of n = 4 and n = 2 into this equation gives us:

The energy change associated with the transition from n = 4 to n = 2 is given by

To convert this energy change from electronvolts to joules, we can use the fact that 1 eV is equal to 1.602176634 x 10^-19 joules.

Multiplying -2.55 eV by this conversion factor gives us an energy change of -2.55 eV * 1.602176634 x 10^-19 joules/eV = -4.13 x 10^-18 joules.

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To show that the function \(B: \mathbb{R}^2 \times \mathbb{R}^2 \to \mathbb{R}\), given by \(B((x_1, y_1), (x_2, y_2)) = ax_1y_1 + bx_2y_1 + cx_1y_2 + dy_2\), is negative definite, we need to prove that it satisfies two conditions:

For any non-zero vector\(v = (x, y) \in \mathbb{R}^2, B(v, v) < 0\).

The determinant of the matrix formed by the coefficients of B is positive: \(ac - b^2 > 0\).

Let's start with the first condition:

For \(v = (x, y) \in \mathbb{R}^2, B(v, v) = ax^2 + bxy + cxy + dy^2 = (a + c)x^2 + (b + d)xy + dy^2\).

Since we want B(v, v) to be negative for any non-zero vector v, the coefficient of \(x^2 (a + c)\) should be negative, and the determinant of the quadratic term \((b + d)^2 - 4ad\) should be negative as well.

Therefore, we have the following conditions:

\(a + c < 0 (1)\\\\(b + d)^2 - 4ad < 0 (2)\)

Now, let's move to the second condition:

We are given that B is negative definite, so we can assume that a, c, d ≠ 0 to avoid any degenerate cases.

To determine the sign of \(ac - b^2\), we can consider the determinant of the matrix formed by the coefficients:

\(\begin{bmatrix}a & b \\c & d \\\end{bmatrix}\)

The determinant is ad - bc, and for B to be negative definite, we want this determinant to be positive:

ad - bc > 0 (3)

Now, let's combine the conditions (1), (2), and (3):

From condition (1), we have a + c < 0, which implies c < -a.

From condition (2), we have\((b + d)^2 - 4ad < 0\), which implies \((b + d)^2 < 4ad\).

Now, let's multiply (1) by d and (2) by -c:

\(-d(a + c) > 0 (4)\\\\(c^2 - 4ac)d > 0 (5)\)

Adding (4) and (5), we get:

\(c^2 - 4ac - d(a + c) > 0\)

Rearranging terms, we have:

\(c^2 - 4ac - d(a + c) + 2ac - 2ac > 0\\\\c^2 - 2ac - d(a + c) + 2ac > 0\\\\(c^2 - 2ac) - (d(a + c) - 2ac) > 0\\\\c^2 - 2ac - (d - 2a)(a + c) > 0\)

Now, since c < -a, we have c + a < 0, which implies a + c < 0. Therefore, (a + c) is negative.

So, we can rewrite the inequality as:

\(c^2 - 2ac + (2a - d)(a + c) > 0\)

Since (2a - d) is negative, (a + c) is negative, and a < 0, we can conclude that:

\(ac - b^2 > 0.\)

Therefore, we have shown that B is negative definite if a < 0 and \(ac - b^2 > 0\).

Please note that in the given expression, there is a slight difference in the notation used (axıyı instead of \(ax_1y_1\)), but the approach and conclusion remain the same.

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The possible values of b are (a) 12, (b) 15 and (c) 30

The expression √6⋅√10 can be rewritten as √ab , where a and b are positive integers and a > 1 . What is the value of b?

The expression is given as:

√6 . √10 = √ab

Apply the law of indices

√(6 *10) = √ab

Evaluate the product

√60 = √ab

Express 60 as 2 * 30, 4 * 15 and 5 * 12.

So, we have:

√(2 * 30) = √(4 * 15) = √(5* 12) = √ab

By comparing the equations, we have:

b = 30, 15 and 12

Hence, the possible values of b are (a) 12, (b) 15 and (c) 30

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The total volume of host blood that may be lost per day to a severe nematode infection would be 500 milliliters.

The volume of human host blood ingested by hookworms per day:

0.5 ml per hookworm x 1000 hookworms = 500 ml of host blood per day.

The percentage of total blood volume lost daily:

500 ml lost blood / 5000 ml total blood volume of an average adult human x 100% = 10%

In summary, for a severe nematode infection, an individual may lose 500 milliliters of blood per day. That translates to a loss of 10% of the total blood volume of an average adult human.

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Answer:

Solution to system of inequalities is y≥ 3x-2

Graph attached

Step-by-step explanation:

We have the following two inequalities:
y>-3x-5

y≥ 3x-2

To get the solution and graph

1. Graph each inequality separately

2. Choose a test point to determine which side of the line needs to be shaded

3. The solution will be the area where the shadings from each inequality overlap one another

The graph is attached. The heavily shaded region is the set of all points which satisfy all inequalities

We see that any point that satisfies y≥ 3x-2  also satisfies y>-3x-5

In other words, the solution set for y≥ 3x-2 is a subset of the solution set for   y>-3x-5

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is

\(y - 2 = \frac{2}{3} (x - 12) \\ y - 2 = \frac{2}{3} x - 8 \\ y = \frac{2}{3} x - 8 + 2\)

We have the final answer as

\(y = \frac{2}{3} x - 6 \\ \)

Hope this helps you

Answer:

3

Step-by-step explanation:

3 ÷ 3 = 1

21x ÷ 3 = 7x

There is no other common factor.

Answer:

It is rounded

Step-by-step explanation:

Answer:

It is already rounded up, unless you have forgotten the decimal point.

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Cos C = adjacent/hypotenuse

or, Cos C = 21/35 = 3/4

Answered by GAUTHMATH

Answer:

-18+9k

Step-by-step explanation:

If you use the distributive property, you get:

(-3*6) and (-3*-3k)

If you simplify each of them you get:

-18+9k

Answer:

-18+9k

Step-by-step explanation:

Multiply -3 by 6 and -3 by -3k

Answer:

4.79 dollars.

Step-by-step explanation:

7x + 3.62 = 37.15

7x= 37.15-3.62

7x=33.53

x= 33.53/7=4.79 dollars.

The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

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Answer: 13%

Step-by-step explanation:

To find the percent increase, first find the increase in figures:

= 149,160 - 132,000

= 17,160 people

Then find the percent increase in this manner:

= Increase / Previous population * 100%

= 17,160 / 132,000  * 100%

= 13%

Answer:

456.63

Step-by-step explanation:

A line's equation can be written as y = mx + b, y = ax + b, or y = a + bx. As may be seen, the equation for the regression line is similar as true slope.

Understanding the distinction between negative, positive, zero, and undefinable slopes is crucial.

As a result, the rather perplexing term "no slope" is also frequently used in this context.

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y=12

I'm sorry if I'm wrong

Answer:

24

Step-by-step explanation:

cause it is 7-24-25 triangle

Answer:

\( \frac{1}{11} \)

Step-by-step explanation:

\( \frac{4}{12} \times \frac{3}{11} = \frac{1}{3} \times \frac{3}{11} = \frac{1}{11} \)

We start with 12 marbles. So the probability of selecting a red marble is 4/12, or 1/3. Since this marble is not returned, we now have 11 marbles left, so the probability of selecting a second red marble is 3/11. Multiply 1/3 by 3/11, obtaining 1/11.

Answer:

\((4,3)\)

Step-by-step explanation:

Given

See attachment for complete question

Required

Identify the unexplored point

Since the shaded region has been explored, an unexplored point will be located in the white region.

The given points are:

\((-5,2)\ (0,0)\ (4,3)\ (-2,4)\)

Plot each of the above points on the grid (See attachment 2)

In attachment 2, only (4,3) lies on the white region.

Hence, (4,3) has not been explored

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

23 purple marbles

115 yellow marbles

Step-by-step explanation:

Let y represent the yellow marble

Let p represent the purple marbles

So, we have the equations

y = 5p

Therefore, y + p = 138

5p + p = 138

6p = 138

p = 23 marbles

Now let's put 23 in for the p in the equation to find the number of yellow marbles

y = 5(23)

y = 115 marbles

Answer:

44.0 kgm/s

Step-by-step explanation:

p= m*v

m= 5.5kg

v=8.00 m/s

multiply m to v

44.0kg

Answer:

9n=63

n=7

Step-by-step explanation:

Answer:

Replace the word "is" with an equals sign. Replace the word "product" with a multiplication sign. Replace the words "a number" with the variable n, to represent the unknown value. The equation is 63 = 9n.

Step-by-step explanation:

correct on edge

Answer:

w = 0

Step-by-step explanation:

(3.2 + 3.3 + 3.5)w = w , that is

10w = w ( subtract w from both sides )

9w = 0 , then

w = 0

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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