x+y=13
2x-y=5

solve using any method

I would need a bit more to answer that one my friend

The equation will be linear because the change in depth is constant for each unit of distance from the shoreline.

A linear equation is defined as an equation in which the highest power of the variable is always one.

From the information provided, we can see that the depth of the river increases by 10 meters for every 1 mile of distance from the shoreline.

Therefore, we can assume that the equation that relates the depth (D) of the river to the distance (X) from the shoreline is:

D = 25 + 10X

This equation is linear since the change in depth is constant for each unit of distance from the shoreline.

However, we should note that the situation described is actually discrete rather than continuous. The depths are only given for specific distances (every 1 mile), and we do not have any information about the depths between those specific distances.

Therefore, we cannot assume that the depth of the river changes continuously as the distance from the shoreline increases. Instead, the depth changes in discrete steps at each mile.

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Answer: This data can be proven to be incorrect using the Principle of Inclusion-Exclusion.

The Principle of Inclusion-Exclusion states that for two events A and B, the number of elements in the union of A and B is equal to the sum of the number of elements in A and the number of elements in B minus the number of elements in their intersection.

Let's denote the number of students who failed in Maths as M, Accounts as A, and Costing as C.

From the information given, we have the following relationships:

M = 750

A = 600

C = 600

A ∩ C = 150

M ∩ A = 450

M ∩ C = 400

M ∩ A ∩ C = 75

Applying the Principle of Inclusion-Exclusion, the number of students who failed in at least one subject is:

M + A + C - (A ∩ C) - (M ∩ A) - (M ∩ C) + (M ∩ A ∩ C) = 750 + 600 + 600 - 150 - 450 - 400 + 75 = 925

However, the number of students who appeared for the exams is 1000, which means that the number of students who passed in all subjects should be 1000 - 925 = 75.

But we have already determined that the number of students who failed in all subjects is 75, which means that there are 75 students who are counted twice. This leads to a contradiction, and therefore the data given cannot be correct.

Step-by-step explanation:

Answer:

$12.60

Step-by-step explanation:

12x.05 = .6 then .6+12 is 12.6

sorry if this is wrong lol

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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Answer:

Parent function is g(x) = x² a quadratic

Step-by-step explanation:

quadratic; translation down 4 units  

-4 means the vertex will move down 4

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

The given function is g(x)=x²-4.

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

Quadratic; translation down 4 units:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

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By using definitions of scale and perimeter, we find that the actual perimeter of the park is equal to 251 meters.

Scales are ratios between scaled lengths and real lengths. There are increase and decrease ratio. In this problem we have an example of a decrease ratio, where real length is greater than scaled length. Besides, geometry taught us that the perimeter of a geometric locus is the sum of the lengths of all its sides.

Therefore, the actual perimeter (p), in meters, is found by multiplying the scaled length (p'), in meters, by the reduction factor (k), no unit, that is:

p = k · p'

p = 1,000 · (0.251 m)

p = 251 m

By using definitions of scale and perimeter, we find that the actual perimeter of the park is equal to 251 meters.

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The common ratio exists and has the value of 1.5 (3/2) because all ratios are the same.

Therefore, the correct option is c) r = 3/2

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To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer:

33

Step-by-step explanation:

The surface area of the rectangular prism is 502 mm²

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The surface area of the prism = 2(8 mm * 13 mm) + 2(8 mm * 7 mm) + 2(7 mm * 13 mm) = 502 mm²

The surface area is 502 mm²

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Answer:

65

Step-by-step explanation:

Total cars =

\( \frac{52}{80} \times 100 = 65\)

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

beeebooobeeeeeboooooobeeeeebooooooo

Step-by-step explanation:

option a

Answer:

it is the last one

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation.

The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

Answer:
x + Y = 54
y - x = 7

Step-by-step explanation:

There are 54 cars and SUVs in all. So, the sum of SUVs and cars is 54. There are 7 more SUVs than cars, so the number of SUVs (y) minus cars (x) is 7.

Answer:

36°

Step-by-step explanation:

Angle E is equivalent to D.

-kiniwih426

Answer:

36degrees

Step-by-step explanation:

that angle is collinear or equivalent to EFB

please correct me if i'm wrong so I can change my answer

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation: First, we need to solve this inequality.

When you're asked to solve an inequality like -3x > 18, your goal should be the same as it was when solving equations, to get x by itself on one side.

In this problem since x is being multiplied by -3 on the left side of the inequality, to get x by itself, we divide both sides by -3 but here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this greater than in our original problem becomes less than in our second step.

On the left side, the -3's cancel and we're left with

x and on the right side, 18 divided by -3 is -6.

So we have x < -6.

Now, we are asked to state some solutions to the inequality.

The inequality x < -6 means that any number

less than -6 is a solution to the inequality.

For example, -7 is a solution because -7 is less than -6.

-8 is also a solution because -8 is less than -6.

Other possible solutions include -23, -98, -982, and so on.

Any number less than -6 will be a solution.

The balance of our account after 6 years with continuous compounding would be approximately $4,734.78 when rounded to the nearest hundredth.

To calculate the balance of your account after 6 years with continuous compounding, we can use the formula for continuous compound interest:

\(A = P\times e^{(rt)\)

Where:

A = Final account balance

P = Initial principal (investment amount)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time in years

P = $3,400....(given)

r = 5.5% = 0.055 (as a decimal)

t = 6 years

Substituting the given values into the formula, we have:

\(A = 3400 \times e^{(0.055 \times 6)\)

Calculating the exponent:

\(A = 3400 \times e^{(0.33)\)

Using a calculator to evaluate \(e^{(0.33)},\) we find:

A ≈ 3400 \(\times\) 1.391382

A ≈ 4734.78

Therefore, the balance of your account after 6 years with continuous compounding would be approximately $4,734.78 when rounded to the nearest hundredth.

Please note that continuous compounding assumes that the interest is compounded infinitely often throughout the year.

This is an idealized scenario, and in practice, interest is usually compounded at regular intervals (e.g., annually, semi-annually, quarterly, or monthly) depending on the terms of the investment.

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Answer:

The quadrant in which the point (−7, 3) lie is the 2nd qudrant

Answer:

Quadrant 2

Step-by-step explanation:

Answer:

(D) 18ft per second

Step-by-step explanation:

the average of the height of the ball is increasing from t=0 to t=2.

Answer:

the level curve of the function that passes through the point is x² - y² = - 36

Step-by-step explanation:

Given that;

the function is;

f(x, y) = 64 - 4x² - 4y²

At the point P = ( 3√2, 3√2)

so we have

f( 3√2, 3√2) = 64 - 4(3√2)² - 4(3√2)²

= 64 - 72 - 72 = -80

so the level curve containing the point P = ( 3√2, 3√2) is the curve,

f(x,y) = -80

64 - 4x² - 4y² = -80

divide through by 4

4x² - 4y² = -80 - 64

4x² - 4y² = 144

divide through by 4

x² - y² = - 36

therefore, the level curve of the function that passes through the point is,

x² - y² = - 36

A coefficient is a numerical value that is multiplied with a variable.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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