Write the equation of the line in slope-intercept form. Slope: 5, y-intercept: -1/3​

Answer:

A. 53

Step-by-step explanation

You use tangent to find the angle measure of MAD.

Tan (x) = 16/12

x = 53 degrees

Answer:

9.25 + 25.75p ≤ 245

Step-by-step explanation:

I didn't see any inequality options to select from . . .

Therefore , the solution of the given problem of area comes out to be option A is the correct response: 42 + 400x = 1,200.

Calculating how much space would be needed to fully cover the outside will reveal its overall size. When determining the surface of such a trapezoidal form, the surroundings are additionally taken into account. The surface area of something determines its overall dimensions. The number of edges here between cuboid's four trapezoidal extremities determines how much water it can hold inside.

Here,

let's use the variable x. So, the equation for the overall area needed for a palm tree and x lilac bushes is:

=> A(x) = 442 + 42x

Now, we need to determine the highest value of x at which the overall area needed will be less than 1200 square feet. To put it another way, we want to eliminate the inequality:

=>  A(x) < 1200

When we replace the equation with A(x), we obtain:

=>  442 + 42x < 1200

By taking 442 off of both ends, we arrive at:

=>  42x < 758

By dividing by the positive integer 42, we obtain:

=> x < 18

Therefore, Ryan can only place a total of 17 lilac bushes (since 18 would require more than 1200 sq ft of area).

=> 442 + 42x < 1200

which is equivalent to:

=>  42x < 758

or:

=>  x < 18

So, option A is the correct response: 42 + 400x = 1,200.

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If 10p equals 2, then p would equal 0.2

Answer:

Step-by-step explanation:

Start by isolating the variable (in this case, "p") on one side of the equation. To do this, divide both sides of the equation by 10:

10p/10 = 2/10

Simplify both sides of the equation:

p = 0.2

So the solution is p = 0.2.

Answer:

x= z-m+y

Step-by-step explanation:

subtract m from both sides

add y to both sides

and switch sides

The area of the quadrilateral bounded by the lines AA', AA", BC, and BB' is given by the expression: Area of triangle ABC - (1/6) * AA' * AB'.

To determine the area of the quadrilateral bounded by the lines AA', AA", BC, and BB', we can divide it into two triangles and subtract their areas from the area of triangle ABC.

Let's label the points of intersection of AA' and BB' as P and Q, respectively.

Triangle A'BP:

The area of triangle A'BP can be found using the formula: Area = (1/2) * base * height.

The base is A'B, which is equal to 3 times the length of B'C.

The height is the distance from point P to line BC, which is equal to the distance from point A' to line BC.

Since A' is on line BC, the distance from A' to line BC is 0.

Therefore, the area of triangle A'BP is (1/2) * (3B'C) * 0 = 0.

Triangle A'PQ:

The area of triangle A'PQ can also be found using the formula: Area = (1/2) * base * height.

The base is A'Q, which is equal to the length of AA'.

The height is the distance from point P to line BC, which is equal to the distance from point Q to line BC.

Since AA' and BB' are parallel lines, the distance from Q to line BC is equal to the distance from B' to line AC.

Therefore, the area of triangle A'PQ is (1/2) * AA' * B'C.

Now, we can calculate the area of the quadrilateral:

Area of quadrilateral = Area of triangle ABC - Area of triangle A'BP - Area of triangle A'PQ

= Area of triangle ABC - 0 - (1/2) * AA' * B'C

= Area of triangle ABC - (1/2) * AA' * (1/3) * AB'

= Area of triangle ABC - (1/6) * AA' * AB'

Hence, the area of the quadrilateral bounded by the lines AA', AA", BC, and BB' is given by the expression: Area of triangle ABC - (1/6) * AA' * AB'.

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The answer for given expressions is (f -g)(x) = -x² + 4x + 6.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To find (f-g)(x), we need to subtract g(x) from f(x) and simplify the expression.

f(x) = 4x + 1

g(x) = x² - 5

(f - g)(x) = f(x) - g(x)

= (4x + 1) - (x² - 5)

= -x² + 4x + 6

Therefore, the answer for given expressions is (f -g)(x) = -x² + 4x + 6.

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Without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.

To calculate a 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B, we can use the least squares means estimates provided in the JMP output.

According to the JMP output, the estimate for the mean time required to stabilize emergency condition 4 using display panel B is 10.375000.

To calculate the confidence interval, we need to find the margin of error. The margin of error can be calculated using the formula:

Margin of Error = Critical Value * Standard Error

In this case, we need to find the critical value for a 95 percent confidence interval. Since we have a sample size of 24 (as mentioned in the question), we can use the t-distribution with (24-1) degrees of freedom to find the critical value.

Looking up the critical value in the t-distribution table, with (24-1) degrees of freedom and a confidence level of 95 percent, we find that the critical value is approximately 2.064.

The standard error can be calculated using the formula:

Standard Error = Standard Deviation / √(sample size)

The standard deviation is not provided in the given information. Therefore, we cannot calculate the standard error or the confidence interval without this information.

In summary, without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.

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Answer:

508

Step-by-step explanation:

Answer:

Surface area = 508

Step-by-step explanation:

Width = 11

Length = 4

Height = 14

Equation:   2(lw+lh+wh)

2(4•11+4•14+11•14)   =  508

Answer:

The two angles of ΔABC are equal to the two respective angles of ΔFED. Also, the sum of all interior angles of a triangle is 180º. Therefore, third angle of both triangles will also be equal in measure.

Answer:

Yes.

Step-by-step explanation:

Exponential Parent Function: \(f(x)= a(b^{x})\)

If we write out the equation:

\(y = 6(5)^{x}\)

Whenever we have an exponent of x, it is a exponential function. The 5 is simply the base of the exponent and the 6 means we are vertically stretching the graph by a factor of 6.

The proportion of operations that lasted less than 118 minutes is approximately 0.16.

To find the proportion of operations that lasted less than 118 minutes, we need to calculate the area under the normal distribution curve up to that point. Given the average duration of 130 minutes and a standard deviation of 12 minutes, we can use z-scores to determine the proportion.

First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the given value (118 minutes), μ is the mean (130 minutes), and σ is the standard deviation (12 minutes). Substituting the values, we have z = (118 - 130) / 12 = -1.

Using a standard normal distribution table or calculator, we find that the proportion of values less than -1 is approximately 0.1587. However, since we're interested in the proportion of values less than 118 minutes, we take the area to the left of -1 and subtract it from 0.5 (the area under the entire curve).

Therefore, the estimated proportion of operations that lasted less than 118 minutes is approximately 0.5 - 0.1587 = 0.3413, which is approximately 0.16.

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To classify a triangle based on its side lengths as acute, right, or obtuse, we can use the Pythagorean theorem and compare the squares of the lengths of the sides.

If the sum of the squares of the two shorter sides is greater than the square of the longest side, the triangle is acute.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, the triangle is right.

If the sum of the squares of the two shorter sides is less than the square of the longest side, the triangle is obtuse.

For example, let's consider a triangle with side lengths 5, 12, and 13.

Using the Pythagorean theorem, we have:

5^2 + 12^2 = 25 + 144 = 169

13^2 = 169

Since the sum of the squares of the two shorter sides is equal to the square of the longest side, the triangle with side lengths 5, 12, and 13 is a right triangle.

In a similar manner, you can classify other triangles by comparing the squares of their side lengths.

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To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

dy/dx = -1/f(x, y)

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

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Given:

Book club A charges $20 for membership and $2 per book rental.

Book club B charges $10 for membership and $3 per book rental.

To find:

The number of books for which the cost be the same at both book clubs.

Solution:

Let x be the number of books.

Book club A charges $20 for membership and $2 per book rental. So, the total cost is

\(C_1=20+2x\)             ...(i)

Book club B charges $10 for membership and $3 per book rental. So, the total cost is

\(C_2=10+3x\)            ...(ii)

Equating (i) and (ii), we get

\(10+3x=20+2x\)

\(3x-2x=20-10\)

\(x=10\)

The total cost is

\(C_1=20+2(10)\)

\(C_1=20+20\)

\(C_1=40\)

Therefore, the total cost at both book clubs are same for 10 rental books and that cost is $40.

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."

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Answer:

5000

Step-by-step explanation:

8,375,693.1

Keep the 5 in that position, and replace all other digits by zeros.

0,005,000.0

Now rewrite the number without the unnecessary zeros.

5,000

The 5 is in the thousands place, so it stands for 5000.

Answer:

5000

Step-by-step explanation:

Hope this helps! Please mark brainlest, if you don't mind.

Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Answer:

24

Step-by-step explanation:

We can start by listing some out:

8: 8, 16, 24, 32, 40...

12: 12, 24, 36, 48...

Woah! 24 is the LCM.

The system of Inequality for the given graph is;

2x + 3y ≥ 12

3x - 5y ≥ 15

Inequalities that use < or > symbols are always plotted with a dashed line while Inequalities that use ≤ or ≥ symbols are always plotted with a solid line.

Now, if the shaded portion is above a dashed line, the the symbol is > but if it is shaded above a solid  line, then the symbol is ≥. In this question, a solid line is used for both equations and shaded above the lines and so we will use ≥.

Equation of Line 1;

x-intercept = 6

y intercept = 4

Slope = -2/3

Thus, using the general equation of slope of line, the equation of this inequality is; 2x + 3y ≥ 12

Similarly, the equation of the second line will be;

3x - 5y ≥ 15

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Answer:

14/26

Step-by-step explanation:

Mark me Brainliest.

Answer:

\(\frac{14}{26}\)

Step-by-step explanation:

Probability is calculated as

\(\frac{outcome wanted}{total outcomes}\)

total outcomes = 14 + 12 = 26

outcome wanted is girl's name of which there are 14

P(girl's name ) = \(\frac{14}{26}\)

Answer:

length between is 8.54 units

Step-by-step explanation:

Formular:

\( { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}\)

x1 is -4

x2 is 4

y1 is 4

y2 is 1

\( = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units\)

Answer:

Distance = 8.25 units

Step-by-step explanation:

use the formula :

√ (x2 _ x1) + (y2 - y1)

where ,

x2 = 4

x1 = -4

y2 = 1

y1 = -1

Answer:

3.95 or 1 1/10

Step-by-step explanation:

i think i forgot how to do this, sorry <3 dont cheat, etc. education is important, u got this <3...i searched it up

The approximate value of x in the equation 5 to the power of 2x=20 is 0.93

From the question, we have the following parameters that can be used in our computation:

5 to the power of 2x=20

As an expression, we have

5^(2x) = 20

Take the natural logarithm of both sides

so, we have the following representation

2x = ln(20)/ln(5)

Evaluate the quotients

This gives

2x = 1.86

So, we have

x = 0.93

Hence, the value of x is 0.93

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Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

y-3 = m(x-(-2))

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

Answer:

0.01428 hope this is correct and it helps!

Answer:

f(-1) = -2

Step-by-step explanation:

Just plug in -1 for x

f(-1) = -3(-1) - 5 = 3 - 5 = -2

Answer:

-2

Step-by-step explanation:

did you mean to type "bike"? not? bick?