Let A = {1, 2, 3, 4, 5). Which of the following functions/relations on A x A is onto?

Answer:

y=1/6x+2

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 1/6. So you can right away fill in the equation for a line somewhat to read:

y=1/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(12,4). When x of the line is 12, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (12,4).

So, why not plug in for x the number 12 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(12,4). y=mx+b or 4=1/6 × 12+b, or solving for b: b=4-(1/6)(12). b=2.

Answer:

D to E is apparently 104 degrees , G looks like it has the same measurements , so the unknown measurements will be 74 degrees,

Step-by-step explanation:

Tracking the food Timber eats and how many miles she runs each week is an example of Self-Supervision.

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Answer:

50% of 60 is 30

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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x = 3

y = 2

To evaluate the expression, just replace the given values of the variables into the equation, as follows:

4*x + 2*y

4*3 + 2*2

12 + 4 = 16

To find the equation of the tangent line to the curve 5x^2 + xy + 5y^2 = 11 at the point (1, 1), we can use implicit differentiation.

To find the slope of the tangent line, we first differentiate both sides of the equation with respect to x, treating y as a function of x. Applying implicit differentiation, we obtain:

d/dx (5x^2 + xy + 5y^2) = d/dx (11)

Using the chain rule and product rule, we can differentiate each term on the left-hand side. Simplifying the equation, we get:

10x + y + 5(2y)(dy/dx) = 0

To find the slope at the point (1, 1), we substitute x = 1 and y = 1 into the equation and solve for dy/dx:

10(1) + 1 + 5(2)(dy/dx) = 0

Simplifying further, we find dy/dx = -11/10.

Thus, the slope of the tangent line is -11/10. To find the equation of the tangent line, we can use the point-slope form:

y - y1 = m(x - x1),

where (x1, y1) is the given point (1, 1). Plugging in the values, we obtain:

y - 1 = (-11/10)(x - 1),

which simplifies to:

y = (-11/10)x + 21/10.

Therefore, the equation of the tangent line to the curve at the point (1, 1) is y = (-11/10)x + 21/10.

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The probability that a person who is above 35 years old has a hemoglobin level of 9 or above is 0.531.

Option C is the correct answer.

We have,

The number of persons who is above 35 years.

= 162

And,

The number of persons who is 35 years and above and has a hemoglobin level of 9 or above.

= 46 + 40

= 86

Now,

The probability that a person who is above 35 years old has a hemoglobin level of 9 or above.

= 86/162

= 0.531

Thus,

The probability that a person who is above 35 years old has a hemoglobin level of 9 or above is 0.531.

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Answer:

I think the answer is 12 mph

The function g(x) is defined as follows:

g(x) = 2x - 12.

The inverse function is obtained exchanging the variables x and y, and then isolating y, thus:

The fact that the variables are exchanged means that the functions are symmetric over the line y = x.

As the lines are symmetric over the line y = x, these following statements regarding the composition of a function with it's inverse is given as follows:

We have that f(2x - 12) = x, hence the function g(x) is defined as follows:

g(x) = 2x - 12.

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Given data:

The given ratio is 16g:72g.

The expression for the given ratio is,

Thus, the given ratio can be written as 2/9.

Answer: 5 pitchers

Step-by-step explanation:

The pineapple juice and water equals 3 quarts

Three quarts turn into 6 pints

The orange juice and lemonade total into 8 cups which equal 4 pints

The total become 10 pints

Each pitcher holds 2 pints so,

The answer is 5 pitchers

To simplify 5+square root 7 over 6, you can start by rationalizing the denominator.

This means getting rid of any square roots or irrational numbers in the denominator. To do this, you can multiply both the numerator and denominator by the conjugate of the denominator, which is 6-sqrt(7). This gives you:

(5+sqrt(7))/6 * (6-sqrt(7))/(6-sqrt(7))
= (30-5sqrt(7)+6sqrt(7)-7)/(36-7)
= (23+sqrt(7))/29

So the simplified form of 5+square root 7 over 6 is (23+sqrt(7))/29.

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The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285

Step-by-step explanation:

Answer:

0$

Step-by-step explanation:

simple

To prove that lim (n → ∞) |sn| = 0 implies lim (n → ∞) sn = 0, we will show that if the absolute value of a sequence converges to 0, then the sequence itself also converges to 0.

Let {sn} be a sequence such that lim (n → ∞) |sn| = 0. This means that for any ε > 0, there exists a positive integer N such that |sn| < ε for all n ≥ N. We want to show that lim (n → ∞) sn = 0.

Given ε > 0, we can choose the same N as before, such that |sn| < ε for all n ≥ N. Now, consider the difference between sn and 0, i.e., |sn - 0| = |sn|. Since |sn| < ε for all n ≥ N, it follows that |sn - 0| = |sn| < ε for all n ≥ N.

This shows that for any ε > 0, there exists a positive integer N such that |sn - 0| < ε for all n ≥ N, which is the definition of lim (n → ∞) sn = 0. Therefore, we have proven that if lim (n → ∞) |sn| = 0, then lim (n → ∞) sn = 0.

In conclusion, if the absolute value of a sequence converges to 0, then the sequence itself also converges to 0.

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It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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168 i think

......................

Answer:

When you multiply two negatives, you get a positive solution.

7686x389

2,989,854

:)

The intrinsic value of the PUT option is $0. It means the option has no inherent value based on the given information.

To determine the intrinsic value of a PUT option, we compare the strike price (X) with the current market price (S) of the underlying asset. If the strike price is higher than the market price, the intrinsic value is the difference between the strike price and the market price. However, if the market price is higher than the strike price, the intrinsic value is $0.

In the given information, we have the following data:

- Strike price (X): $90

- Market price (S): $47.78

Since the market price is lower than the strike price (47.78 < 90), the intrinsic value of the PUT option is $0. This means that exercising the option would not result in any profit because it is currently out of the money.

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Using the ratio and proportion method, we can set up a proportion between the height of the trail and the rate of building:

height of trail / rate of building = time to complete trail

We know that the height of the trail is 942 feet, and the rate of building is 6 feet per hour. We can substitute these values into the proportion:

942 / 6 = time to complete trail / 1

Simplifying the left side of the equation, we get:

157 = time to complete trail

Therefore, it will take 157 hours to complete the trail.

To understand why this works, we can think of the ratio between the height of the trail and the rate of building as the number of hours it takes to build one foot of the trail. This ratio is:

height of trail / rate of building = 942 / 6 = 157

So for every 157 hours of work, the workers will have built 942 feet of the trail.

In conclusion, using the ratio and proportion method, we can determine that it will take 157 hours to build each foot of the 942-foot tall trail.

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Answer:

B

Hope I helped

The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.

The velocity of the motion at time t is given by V[t] = x'[t], which is the derivative of the position function x[t] with respect to time.

To compute v[t], you take the square root of the magnitude of V[t], which is given by:

v[t] = |V[t]| = sqrt(|x'[t]|) = sqrt(sqrt[t] * |V[t]|)

Here, the square root of t is taken as a weighting factor for the velocity, which means that the speed increases with time. The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.

Note that this formula assumes that the motion x[t] is differentiable, which means that the velocity V[t] is well-defined and continuous. If x[t] is not differentiable, then the velocity V[t] may not exist, and this formula wouldn't apply.T

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Answer: The formula for simple interest is:

I = Prt

Where:

I is the interest earned

P is the principal (the initial amount deposited)

r is the interest rate (as a decimal)

t is the time period in years

Using this formula, we can calculate the interest earned by Patricio after 4 years:

I = Prt

I = 800 * 0.025 * 4

I = 80

So, after 4 years, Patricio will have earned $80 in interest. Adding this to the initial deposit of $800, the total amount of money he will have in the account is:

Total = P + I

Total = 800 + 80

Total = $880

Therefore, Patricio will have $880 in the savings account after 4 years.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

All we need to do is to make the bases equal. We know 625=25² so we apply that to the equation:

\( {25}^{3x + 2} = {25}^{2(2x - 3) } \\ {25}^{3x + 2} = {25}^{4x - 6} \)

Now that the bases are equal, we can set the exponents equal too.

\(3x + 2 = 4x - 6 \\ 3x - 4x = - 6 - 2 \\ - x = - 8 \\ x = 8\)

Hope this helps!

Using the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width, the area of a rectangle with the length of 3.5 centimeters and a width of 2.2 centimeters will be  7.7 cm^2.

The area of the rectangle can be calculated using the formula,

(A = l×w )

and the  l = the length of the rectangle

w = represents the width of the rectangle

Then to calculate the area of the rectangle, we can substitute the values that is been given as :

(A = l×w )

A = (2.2 * 3.5) = 7.7 cm^2

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Answer:

7.7

Step-by-step explanation:

The answer was already in the question... He must've edited it or somethin'

Answer:

(12, - 5 )

Step-by-step explanation:

A translation of 5 units right means adding 5 to the x- coordinate

A translation of 5 units down means subtracting 5 from the y- coordinate

Thus

(7, 0 ) → (7 + 5, 0 - 5 ) → (12, - 5 )

Answer:

itss the internet wht do u expect