-5x-4y=-7 on a graph

Answer:

1^13 and 1^15

Step-by-step explanation:

1 raised to anything is still just 1

so, 1^13 = 1 and 1^15 =1

The quadrant that the graph will not go through is the second quadrant.

The reason is that the slope is positive and there was a translation 6 units down

The quadrants are named in anticlockwise direction starting from the first which has x - positive and y - positive

The graph of y = 2x/3 is a graph with positive slope, moving through the third and first quadrant.

y = 2x/3 - 6 means a translation 6 units down and this pushed the line to get to the fourth quadrant

Hence the remaining quadrant that is untouched is the second quadrant

The graph is attached

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The ratio of family practice physicians to pediatricians is 5:1.

The ratio of family practice physicians to pediatricians can be found by dividing the number of family practice physicians by the number of pediatricians:

Ratio = Number of family practice physicians / Number of pediatricians

Ratio = 10 / 2

Ratio = 5

Therefore, the ratio of family practice physicians to pediatricians is 5:1.

The clinic administrator can use this ratio to assess the balance of the clinic's medical staff. If the ratio is not ideal, the administrator may need to take steps to hire more pediatricians or family practice physicians to better meet the needs of the clinic's patients.

Additionally, the ratio can be used to allocate resources, such as staff time and medical equipment, more effectively based on the patient population the clinic serves.

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Answer:

30 miles is the actual distance.

Step-by-step explanation:

3 3/4 = 15/4

15*2=30

Correct option is D, The greatest perimeter of hyperbola is in (D) ⇒ the perimeter = 60 units

When using hyperbola,

- A hyperbola's standard form of the equation with

transverse axis parallel to the x-axis and the center (h, k) are

\(\frac{(x - h)^2}{a^2} - \frac{(y - k)^2}{b^2}\)equals one.

The transverse axis' length is 2a.

The conjugate axis' length is 2b.

The asymptote rectangle's circumference is 2(2a + 2b).

* Let's review the results to determine the largest perimeter.

A)\(\frac{ (x - 4)^2}{11^2} - \frac{(y + 2)^2}{3^2} = 1\)

* Compare it to the equation in standard form.

∵ a = 11 ⇒ 2a = 22

∵ b = 3 ⇒ 2b = 6

The circumference is 2(22 + 6) = 56.

B) \(\frac{(x - 2)^2}{4^2} - \frac{(y + 1)^2}{10^2} = 1\)

* Compare it to the equation in standard form.

∵ a = 4 ⇒ 2a = 8

∵ b = 10 ⇒ 2b = 20

The circumference is 2(8 + 20) = 56.

C) \(\frac{(x + 5)^2}{5^2} - \frac{(y - 3)^2}{9^2} = 1\)

* Compare it to the equation in standard form.

∵ a = 5 ⇒ 2a = 10

∵ b = 9 ⇒ 2b = 18

The circumference is 2(10 + 18) = 56.

D) \(\frac{(x - 7)^2}{8^2} - \frac{(y - 2)^2}{7^2} = 1\)

* Compare it to the equation in standard form.

∵ a = 8 ⇒ 2a = 16

∵ b = 7 ⇒ 2b = 14

The circumference is 2(16 + 14) = 60.

* The largest boundary is in (D)

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

hi the correct answer I believe would be 500

Step-by-step explanation:

since it's a 50 out of 50 chance (because it is heads and tails) the only logical way of thinking this through would be half and half

what I did was simply divide 1,000 by 2 to get 500 so there are 500 heads to be expected.

I hope I was any help to this

The probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

To find the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur, we need to determine the individual probabilities of each event and then multiply them together since the events are independent.

Event A: The coin lands on heads

A fair coin has two equally likely outcomes, heads or tails. Since we are interested in the probability of heads, there is only one favorable outcome out of two possible outcomes.

P(A) = 1/2

Event B: The die is 5 or greater

A fair six-sided die has six equally likely outcomes, numbers 1 through 6. Out of these six outcomes, there are two favorable outcomes (5 and 6) for Event B.

P(B) = 2/6 = 1/3

To find the probability of both events occurring (A and B), we multiply the individual probabilities:

P(A and B) = P(A) * P(B) = (1/2) * (1/3) = 1/6

Therefore, the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

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Answer: C

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The answer is option D.

The area is the quantity of space in the perimeter of a 2nd shape. its miles are measured in rectangular devices, including cm², m², and so forth. To identify the vicinity of a rectangular formula or different quadrilateral, you have to multiply the length by way of the width. as an example: A rectangle with sides of three cm and four cm would have a place of 12 cm².

Given a rectangle with duration l and width w, the formula for the vicinity is A = lw (rectangle). this is, the region of the rectangle is the length improved with the aid of the width. As a unique case, as l = w in the case of a square, the vicinity of a rectangular with facet duration s is given via the formula: A = s2 (rectangular).

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Answer:

120° or 300°

Step-by-step explanation:

Given,

Slope (m) = -√3

Inclination (α) = ?

Now,

We know,

m = tanα

or, -√3 = tanα

or, tan(120° or 300°)  = tanα

∴ α = 120° or 300°

∴ Inclination is 120° or 300°

The equation of the line that is perpendicular to the given line y = x + 6 and has an x-intercept of 6 is B. y = -x + 6.

A line is plotted on the cartesian plane and is straight, thus named a straight line. A straight line is a two-dimensional geometrical figure.

Given the line:

y = x + 6

Compare the equation with

y = mx + c,

m = 1 and c= 6.

As it is given that the new line is perpendicular to the old one, then

the slope of the new line, m' \(= -\frac{1}{m} = -\frac{1}{1} = -1\).

As the x-intercept is 6, c' = 6.

So, the equation of the new line is

y = m'x + c'

y = -x + 6

Therefore, the new line is y = -x + 6.

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The complete question is as follows:

What is the equation of the line that is perpendicular to

the given line and has an x-intercept of 6?

y = x + 6

A. y = -x + 8

B. y = -x + 6

C. y = x - 8

D. y = x - 6.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  22.09 ft²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr² . . . . where r is the radius, half the diameter

The slice, at 45°, is 1/8 of the circle, so the area of the slice is ...

  A = (1/8)π(15 ft/2)² = 225π/32 ft² ≈ 22.09 ft²

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Step-by-step explanation:

hakdogg happyly ever after

Answer:

3)6 , 4)5 , 5)11 , 6)5 , 7)-14 , 8)8

Step-by-step explanation:

Answer:

85,696

Step-by-step explanation:

4 x 104 = 416

2 x 103 = 203

No sign between parentheses means that you have to multiply the two outcomes of the parentheses.

416 x 203 = 85,696

The number of ways in which countries are selected for the United nation council is 150307298437140.

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant.

Total number of countries present US council.

Find the combination of all through using combination formula.

Total combinations = ⁵²C₃ × ⁶¹C₆ ×⁷⁶C₆

Total combinations = 150307298437140

Thus, the number of ways in which countries are selected for the United nation council is 150307298437140.

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Step-by-step explanation:

\( \frac{ {4}^{7} }{ {4}^{6} } \)

= 4

.......

Answer:

Step-by-step explanation:

To determine the maximum rate of change of a function at a given point and the direction in which it occurs, we need to calculate the gradient vector at that point and find its magnitude and direction.

(a) For the function f(x, y) = sin(xy) at the point P(1, π/4):

Calculate the gradient vector: ∇f(x, y) = (∂f/∂x, ∂f/∂y). In this case, ∂f/∂x = ycos(xy) and ∂f/∂y = xcos(xy).

Evaluate the gradient vector at the point P: ∇f(1, π/4) = (π/4cos(π/4), cos(π/4)).

Find the magnitude of the gradient vector: |∇f(1, π/4)| = √((π/4cos(π/4))^2 + (cos(π/4))^2).

Determine the maximum rate of change: The maximum rate of change occurs when the magnitude of the gradient vector is maximum.

Calculate the maximum value of |∇f(1, π/4)| to obtain the maximum rate of change.

Determine the direction: The direction of the maximum rate of change is given by the direction vector of the gradient vector, which is ∇f(1, π/4).

(b) For the function f(x, y, z) = xyz at the point P(8, 1, 3):

Calculate the gradient vector: ∇f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z). In this case, ∂f/∂x = yz, ∂f/∂y = xz, and ∂f/∂z = xy.

Evaluate the gradient vector at the point P: ∇f(8, 1, 3) = (13, 83, 8*1) = (3, 24, 8).

Find the magnitude of the gradient vector: |∇f(8, 1, 3)| = √(3^2 + 24^2 + 8^2).

Determine the maximum rate of change: Calculate the maximum value of |∇f(8, 1, 3)| to obtain the maximum rate of change.

Determine the direction: The direction of the maximum rate of change is given by the direction vector of the gradient vector, which is ∇f(8, 1, 3).

By following these steps, you can find the maximum rate of change of the given functions at the specified points and the directions in which they occur.

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Answer:

c lines

Step-by-step explanation:

Answer:

Multiplication/division

Step-by-step explanation:

Following PEMDAS

Parenthesis

Exponents

Multiplication/Division (which ever comes first)

Addition/Subtraction (which ever comes first)

Answer:

divide,multiply, subtract lastly add

The probability that the artificial heart valve will wear out within 57 months of its installation (P(X < 57)) is approximately 0.8413 or 84.13%.This means there is an 84.13% chance that the valve will wear out within 57 months of its installation, based on the given mean and standard deviation.

To determine the probability that an artificial heart valve will wear out within 57 months of its installation, we need to find the probability of the valve's useful life being less than 57 months (P(X < 57)). Given a normally distributed useful life with a mean of 50 months and a standard deviation of 7 months, we can calculate this probability using the standard normal distribution.

To find P(X < 57), we need to standardize the value of 57 using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

Substituting the values into the formula, we get z = (57 - 50) / 7 = 1.

Next, we can look up the corresponding cumulative probability of 1 in the standard normal distribution table or use a calculator. The cumulative probability for z = 1 is approximately 0.8413.

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Answer:

150

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25, and so on

A right square pyramid formed by the junction of the solid would have a square-shaped cross section.

This is thus because a square pyramid has four triangular sides that meet at a shared vertex on its square base. The cross section of a pyramid formed when a plane meets it parallel to the base and perpendicular to one of the triangular sides is a square. Because the pyramid's base is square, the intersecting plane will cut all four of the triangle faces at the same distance from the peak, giving the pyramid a square shape.

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