Which of the following equations is equivalent to 2/3a - 7 = 1/3

Subtraction is a mathematical operation. The best policy to buy is a 20-year term policy.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Since we want the policy to last till the younger child is 22 years. And the present age of the younger child is 3 years. Therefore, the period for which the policy must work is 19 years (22-3).

Therefore, the best policy to buy is a 20-year term policy.

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Answer:

have a nice day:)

Step-by-step explanation:

reminder to drink water and have a snack :)

Answer:

Answer: 25

The problem is saying that f of x is equal to 13, which means you insert 13 for every x in the equation:

\(f(13) = 2(13) - 1\)

Multiply 2 by 13 to get 26:

\(f(13) = 26 - 1\)

Subtract 1 from 26 to get 25:

\(f(13) = 25\)

I hope this helps. Let me know if you have any questions!

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Partial derivative with respect to\(X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ\)

Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)

The first partial derivatives of the function F(X,Y) = X2Y - 3Y2 + X/(X + Y)2 + XY2e-XZ can be found by taking the partial derivative with respect to each of the variables X and Y separately.
For the partial derivative with respect to X, we have:
Partial derivative with respect to X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ
For the partial derivative with respect to Y, we have:
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
This completes the calculation of the first partial derivatives of the function F(X,Y).
The first partial derivatives of the functions are given below:

\(F(x, y) = x^2y - 3y^2\)

The first partial derivative with respect to x,

Fx (x, y) = 2xy

The first partial derivative with respect to y,\(Fy (x, y) = x^2 - 6yW = xy^2 e^-xz\)

The first partial derivative with respect to x,

\(Wx (x, y, z) = y^2e^-xz - x^2y^2e^-xz\)

The first partial derivative with respect to y, Wy (x, y, z) = 2xye^-xz

The first partial derivative with respect to z, \(Wz (x, y, z) = -xy^2e^-xz\)

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Answer:

The equation of the line is;

y = 4x

Step-by-step explanation:

The general equation form of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The graph passes through the origin and that means the y -intercept is 0

To get the value of the slope, we select any point on the graph and substitute its coordinates

Let’s select point (1,4)

Substitute this;

4 = m(1) + 0

m = 4

Thus, the equation of the line is;

y = 4x

Answer: 18.7 cm

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2} \\c^{2} - a^{2} = b^{2} \\(20)^{2} - 7^{2} = b^{2} \\b^{2} = 351\\b = 18.7\)

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

the distance is 12 units

Step-by-step explanation:

5 and 5 are the same so we don't use those digits,

-6 and 6 are different so we use them

since - 6 and 6 are both in different quadrants we take the absolute value of both of them and add,

|-6| + |6| = |6| + |6| = 12,

therefore the distance between C: (5,-6) and D: (5,6) is 12 units. hope i helped you (and could i have brainliest if possible?)

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Explanation:

The x coordinates are the same (both are 5), so we just focus on the y coordinates.

The y coordinates are y = -6 and y = 6. Subtract the two values and apply absolute value to find the distance. Let's say A = -6 and B = 6.

|A-B| = |-6-6| = |-12| = 12

or we could say

|B-A| = |6-(-6)| = |6+6| = |12| = 12

Either way, we get the same answer. The order of subtraction doesn't matter if we apply absolute value.

On a graph, plotting the two points (5,-6) and (5,6) will show that there's 12 units of space between them.

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

If you wanted, you could apply the distance formula like so:

(x1,y1) = (5,-6)

(x2,y2) = (5,6)

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-5)^2 + (-6-6)^2}\\\\d = \sqrt{(0)^2 + (-12)^2}\\\\d = \sqrt{0 + 144}\\\\d = \sqrt{144}\\\\d = 12\\\\\)

Though in my opinion, I think the distance formula is overkill for this situation.

Answer:

Me

Step-by-step explanation:

Because I am really good at math

Answer:

No

Step-by-step explanation:

Hope this helps :)

Answer:

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010. There are 11 integers that are factors of 2020. The biggest factor of 2020 is 1010.

There are 10, 20, 202, 404, 505, and 1010  factors of 2020 have more than 3 factors.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

Also Prime factorization is when all those factors are prime numbers.

Thus, this factorization expresses an integer in terms of multiples of prime numbers.

Factors of 2020 are;

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010.

There are 11 integers that are factors of 2020.

We can see that the biggest factor of 2020 is 1010.

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The least ton is 4 ton and the greatest ton is 8 ton.

Given an approximation for the weight of African bush elephant.

If we take x as the weight of an African Bush elephant, then

4.4 < x < 7.7.

We are asked to find the least and greatest weights rounded to the nearest ton.

The least weight is 4.4. But when rounded to the nearest ton, we can consider the least weight at 4 tons.

Likewise, the greatest weight is 7.7 tons.

But the greatest weight rounded to the nearest ton = 8 tons

We rounded 4.4 to 4 because the decimal digit 4 is less than 5.

Also we rounded 7.7 to 8 because the decimal digit 7 is greater than 5.

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Answer:

(1,3)

Step-by-step explanation:

since they are open circles they will not have brackets instead they will have parentheses.

one answer for this number line (graph) is (1,3)

a) There are 6 males and 6 females, and they must alternate positions. There are 86,400 ways for them to line up.

b) There are 12 people, and Tony and Billy must be on opposite ends of the line while Alex and Mary must be next to each other. There are 1,61,280 ways for them to line up.

a) The number of ways 12 people can line up when there are 6 males and 6 females, and they must alternate positions:

To solve this, we can consider the males and females as separate groups. We have 6 males and 6 females, which means we have 6 spots for the males and 6 spots for the females.

Let's start by placing the males. We have 6 males to arrange in 6 spots, which can be done in 6! (factorial) ways, which is equal to 6 x 5 x 4 x 3 x 2 x 1 = 720.

Next, we place the females. Since the males and females must alternate, we start by placing a female after the first male. We have 5 females left to arrange in 5 spots, which can be done in 5! ways, which is equal to 5 x 4 x 3 x 2 x 1 = 120.

To find the total number of arrangements, we multiply the number of ways to arrange the males (720) by the number of ways to arrange the females (120):

Total number of arrangements = 720 x 120

= 86,400

There are 86,400 ways for 12 people, consisting of 6 males and 6 females, to line up when they must alternate positions.

b) The number of ways 12 people can line up when Tony and Billy must be on opposite ends of the line while Alex and Mary must be next to each other:

To solve this, we can consider the positions of Tony, Billy, Alex, and Mary separately.

Let's start by considering Tony and Billy. They must be on opposite ends of the line. This means that one of them can be placed in the first position, and the other can be placed in the last position. We have 2 options for their positions.

Next, we consider Alex and Mary. They must be next to each other. Since they must be together, we can consider them as a single entity. We have 1 spot for Alex and Mary together, and we can arrange them in 2! (factorial) ways, which is equal to 2 x 1 = 2.

After placing Tony, Billy, Alex, and Mary, we have 8 remaining people to arrange in the remaining 8 spots. This can be done in 8! 8 × 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320 ways are possible.

To find the total number of arrangements, we multiply the number of options for Tony and Billy (2), the number of ways to arrange Alex and Mary (2), and the number of ways to arrange the remaining 8 people (40,320):

Total number of arrangements = 2 x 2 x 40,320

= 1,61,280

There are 1,61,280 ways for 12 people to line up when Tony and Billy must be on opposite ends of the line while Alex and Mary must be next to each other.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Answer:

a = 43°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

a + 8 + 2a + 43 = 180

3a + 51 = 180 ( subtract 51 from both sides )

3a = 129 ( divide both sides by 3 )

a = 43

Answer:

Step-by-step explanation:

1. ..............................................

2...............................................

3 . ..............................................

4. ..............................................

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

1)

\(6(y+7)=2(y-3)\\6y+42=2y-6\\4y+42=-6\\4y=-48\\y=-12\)

2)

\(3x+2(x-5)=25\\3x+2x-10=25\\5x-10=25\\5x=35\\x=7\)

3)

\(10q+3q+5=2(q-3)\\13q+5=2q-6\\11q+5=-6\\11q=-11\\q=-1\)

4)

\(\frac{1}{3} (x+6)=\frac{2}{3} (x-9)\\\frac{1}{3} x+2=\frac{2}{3} x-6\\2=\frac{1}{3}x -6\\8=\frac{1}{3} x\\x=24\)

Yes, it is true that the functional baseline identifies all top-level functions that a system must carry out as well as the functionality that is expected of it.

The functional baseline describes the system functionality that is necessary, as well as the functional and interface features of the overall system and the verification that is necessary to show that the given functional characteristics have been achieved. An activity's effectiveness and progress can be tracked and evaluated both during implementation and after completion using the data from a baseline study as a benchmark.

The functional baseline is the authorized configuration documentation that details a system's or top-level CI's performance requirements (functional, interoperability, and interface characteristics), as well as the verification necessary to show the accomplishment of those specified characteristics.

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Answer:

Length = 30

Width = 5

Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

L = 6×5

L = 30

Answer:

hi, I believe it would be C. P=368(0.07)^x

Step-by-step explanation:

hope it helps!

Answer:

The second choice

Step-by-step explanation:

Try to plug in the numbers and see

Answer:

c=30

v=10

30+10=40

4*30=120

6*10=60

120+60=180

Answer:

3 x 5 + 2 = 15 + 2 = 17

17 x 5 + 2 = 85 + 2 = 87

3,17,87

6 + 5 x (n-1)

Hope this helps

Step-by-step explanation:

A scaler that converts u to v will have an interval between 0 and 1 as its range. Hence option c is true.

Scaler quantities just have a magnitude and have no relationship to direction. To define these amounts, no other information is required.

Given that,

\(u = < 6,8 >\)

Now, from the graph.

Since, for (v);

Distance on x-axis = 3

Distance on y-axis = 4  

So, \(v = < 3, 4 >\)

Hence,

\(|u| = \sqrt{6^2 + 8^2}\)

\(|u| = 10\)

And, \(|v| = \sqrt{3^2 + 4^2}\)

\(|v| = 5\)

Clearly, \(|v| = \dfrac{|u|}{2}\)

Hence, the scaler vector will be 1/2.

So, we get;

Option c) between 0 and 1

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Answer:

$1.25 per day

Step-by-step explanation:

Given

\(56- 4y = -5x\)

Required

Determine the rate of change

To do this; first, we make y the subject

\(56- 4y = -5x\)

\(-4y = -5x - 56\)

Multiply through by -1

\(-1*-4y = -1*(-5x - 56)\)

\(4y = 5x + 56\)

Divide through by 4

\(\frac{4y}{4} = \frac{5x}{4} + \frac{56}{4}\)

\(y = 1.25x + 9\)

An equation is generally represented as:

\(y = mx + b\)

Where m represents the rate of change.

By comparison:

\(m = 1.25\)

Hence, the rate is $1.25 daily

Answer:

The answer is -2/3 < -3/5

The equation in slope intercept form is: y = $42,935 - $4,200x.

Depreciation is the decline in the value of an asset as a result of wear and tear. The truck deprecates by $4,200 every year. This means that the value of the truck declines by $4,200 every year.

This can be represented with this equation:  y = $42,935 - $4,200x.

Where:

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