what is the midpoint of (-9, -4) and (-6, -3) ?

A (-3, -2)
B (3, 2)
C (-3, 12)
D (-12, -5)

Solution set is {7, -6}

The given logarithmic equation is as follows:loga(x - 2) - loga(x + 9) = loga(x - 3) - loga(x + 4)To determine the equation to be solved after removing the logarithm, we need to apply the logarithmic identity:loga(b) - loga(c) = loga(b / c)Using this identity in the above equation, we get:loga[(x - 2) / (x + 9)] = loga[(x - 3) / (x + 4)]Now, we can equate the logarithmic expressions inside the function. Therefore,(x - 2) / (x + 9) = (x - 3) / (x + 4)Cross-multiplying the above equation, we get:(x - 2)(x + 4) = (x + 9)(x - 3)Simplifying the above equation, we get:x² - 5x - 42 = 0Factoring the above equation, we get:(x - 7)(x + 6) = 0Therefore, the solutions are x = 7 and x = -6. Hence, the solution set is {7, -6}.Thus, the correct choice is A. The solution set is {7, -6}.

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Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Answer:

Sum is

Step-by-step explanation:

9514 1404 393

Answer:

  f(x) = x^2 +2x -8

Step-by-step explanation:

If p and q are zeros of a quadratic, its factored form is ...

  f(x) = (x -p)(x -q)

For your zeros, the factored form is ...

  f(x) = (x +4)(x -2)

Expanded using the distributive property, this is ...

  f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8

  f(x) = x^2 +2x -8

Answer: the height of this triangle is 55.4 mm

Step-by-step explanation:

\(\displaystyle\\Area\ of\ a\ triangle:\ A =\ \frac{ah}{2} \\\\Hence,\\\)

Multiply both parts of the equation by 2:

\(2A=ah\)

Divide both parts of the equation by a:

\(\displaystyle\\\frac{2A}{a} =h\\\\Thus,\ h=\frac{2A}{a} \\\\h=\frac{2(227.14)}{8.2} \\\\h=\frac{454.28}{8,2} \\\\h=55.4\ mm\)

!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

The situation can be modelled to a linear equation.

The cost of the processing fee is 49 dollars.

The cost of the daily fees is 104.5 dollars.

The guest can rent the house a maximum of 11 days if he/she can only spend 1200 dollars.

The home owner charges a processing fee and daily fee to rent his house. The total cost of renting the house for different number of days is represented in the table.

Now, let's check if the situation can be modelled to a linear equation.

A linear equation is represented as y = mx + b

where

Therefore, using (2, 258)(4, 467) let's find the slope.

m = 467 - 258 / 4 - 2

m = 209 / 2

m  = 104.5

Let's find the y-intercept using (2, 258)

258 = 104.5(2) + b

258 - 209 = b

b = 49

Therefore, the modelled equation is y = 104.5x + 49

where

The processing fee is paid one and should be a constant. Therefore, the processing fee is 49 dollars.

The daily fees is 104.5 dollars.

The maximum number of days the visitor can rent if the maximum amount is 1200 dollars can be calculated as follows:

1200 = 104.5(x) + 49

1200 - 49 = 104.5x

x = 1151 / 104.5

x = 11.014354067

x = 11 days

The maximum number of days is 11 days.

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Answer:

Family A is C=t-7 T=c+7             Family B M=y+5 Y=M+5

Step-by-step explanation:

Answer:Your answer is...

Step-by-step explanation: A||C=t-7 T=c+7              B|| M=y+5 Y=M+5

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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Answer:

b

Step-by-step explanation:

Answer:

\(9x+24=5\)

Step-by-step explanation:

Hi there!

\(\displaystyle\frac{3}{4}x+2=\frac{5}{12}\)

To get rid of the fraction \(\displaystyle \frac{3}{4}\), multiply both sides of the equation by 4 (the denominator:

\(4(\displaystyle\frac{3}{4}x+2)=4(\frac{5}{12})\\\\\frac{4*3x}{4} +4*2=\frac{4*5}{12} \\\\3x+8=\frac{5}{3}\)

Now, to get rid of the fraction \(\displaystyle\frac{5}{3}\), multiply both sides of the equation by 3 (the denominator):

\(\displaystyle3(3x+8)=3(\frac{5}{3})\\\\3*3x+3*8=\frac{3*5}{3} \\9x+24=5\)

I hope this helps!

Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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Answer:

eg ty diz so x doc Doc doc diego dritso

When n = 15 and p = 0.50, the probability of getting exactly 12 p events is 1.39%.

To find the probability of getting exactly 12 p events when n = 15 and p = 0.50, you can use the binomial probability formula:

P(X = k) = C(n, k) * (p^k) * (1-p)^(n-k)

Where:
- P(X = k) is the probability of getting exactly k p events
- C(n, k) is the number of combinations of n items taken k at a time
- p is the probability of a single p event occurring
- n is the total number of trials
- k is the desired number of p events

Step 1: Calculate C(n, k)

C(15, 12) = 15! / (12! * (15-12)!)
C(15, 12) = 15! / (12! * 3!)
C(15, 12) = 455

Step 2: Calculate (p^k) * (1-p)^(n-k)

(0.50^12) * (0.50)^(15-12) = (0.50^12) * (0.50^3)

Step 3: Multiply C(n, k) by (p^k) * (1-p)^(n-k)

455 * (0.50^12) * (0.50^3) ≈ 0.0139

The probability of getting exactly 12 p events when n = 15 and p = 0.50 is approximately 0.0139 or 1.39%.

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Answer/Step-by-step explanation:

Earns per hour: $5.50

1 time fee : $2

Total = $35

( h - hours)

Equation :

5.50h + 2 = 35

First step is to suntract 2 from each side:

5.50h + 2 - 2 = 35 - 2

Simplify

5.50h = 33

Divide each side by 5.50 to seprate h from the numbers:

5.50h/5.50 = 33/ 5.50

H = 6

ANSWER: 6 hours

Step-by-step explanation:

id-9384026088

password-9999

Answer:

x + 2

Step-by-step explanation:

im sure its the right answe

The value of f, which represents the focal length of a mirror, depends on whether the mirror is concave or convex.

In the case of a concave mirror, the focal length is positive, while for a convex mirror, it is negative. The focal length is defined as the distance between the center of the mirror and its focal point, which is where parallel rays of light converge or appear to converge after being reflected. The value of f can be calculated using the mirror equation, which relates the focal length, object distance, and image distance. The focal length (f) of a mirror is the distance between the mirror's surface and its focal point. In a concave mirror, the focal point is located in front of the mirror, causing light rays to converge, which results in a positive focal length. Conversely, in a convex mirror, the focal point is behind the mirror, causing light rays to diverge and creating a negative focal length. To determine the focal length of a mirror, you can use the mirror equation, which relates object distance (d_o), image distance (d_i), and the mirror's focal length (f): 1/f = 1/d_o + 1/d_i. By knowing the object and image distances, you can calculate the mirror's focal length.

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Answer:

Step-by-step explanation:  interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

yes it can have 160 degree as interior angel

Pat and John will meet in 3 hours.

It should be noted that speed = Distance / Time

The appropriate equation will be:

80t + 24t = 312

104t = 312

t = 312/104

t = 3. hours

Therefore, it will take them 3 hours to meet.

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The equation of the line passing through the points (2, 11) and (-8, -18) is y = 29 / 10 x + 26 / 5

The equation of a line can be express as follows:

y = mx + b

where

Therefore, the equation of the line passes through the points (2, 11) and (-8, -18).

Hence,

m = -18 - 11 / -8 - 2

m = - 29 / - 10

m = 29 / 10

Therefore, let's find the y-intercept using (2, 11)

The equation is as follows:

11 = 29 / 10(2) + b

11 = 58 / 10 + b

b = 11 - 58 / 10

b = 110 - 58 / 10

b = 52 / 10 = 26 / 5

Therefore,

y = 29 / 10 x + 26 / 5

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Answer:

832.42

Step-by-step explanation:

.12 per KWH x KWH = 99.89

KWH = 99.89/.12

KWH = 832.42 hours

Answer:

x = -1/2 , 4

Step-by-step explanation:

1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x+1=0

x−4=0

2) Set the first factor equal to 0.

2x+1=0

3) Subtract 1 from both sides of the equation.

2x=−1

4) Divide each term by 2 and simplify.

2x/2= −1/2

5) Cancel the common factor of 2.

x= −1/2

6) Move the negative in front of the fraction.

x = −1/2

7) Set the next factor equal to 0 and solve.

x=4

8) The final solution is all the values that make

(2x+1)(x−4) = 0 true.

9) x = −1/2 , 4

Answer:

SAS

Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)

Hello!

\(\large\boxed{\text{B. } k(x) = (-x + 3)^{\frac{1}{2} }}}\)

We can look at each answer choice to verify whether it has a restricted domain or not:

A.  \(f(x) = (3x)^{\frac{1}{5}} - 4\)

This is a function similar to a cubic root function. Its domain is (-∞, ∞), so it has no restriction.

B.  \(k(x) = (-x + 3)^{\frac{1}{2}}\)

This is a square root function. This graph only consists of x-values in the interval (3, ∞) because you cannot take the square root of a negative number. This function has a restricted domain.

C. \(g(x) = -(x + 8)^{3}\)

This is a cubic function, so it has an interval of (-∞, ∞)

D.  \(h(x) = (4x)^{2} - 5\)

This is a quadratic function, which has no domain restriction.

Therefore, the correct answer is B.

The present worth of the tuition cost for a student planning to enroll at the university for 9 years, with the first 4 years costing $7,200 per year and a 5% annual increase for the next 5 years, can be calculated at an interest rate of 8% per year. The present worth is $23,455.297.

To calculate the present worth of the tuition cost, we need to consider the time value of money, which accounts for the fact that money in the future is worth less than money in the present. We can use the concept of present value to determine the worth of future cash flows in today's dollars.

For the first 4 years, the tuition cost is constant at $7,200 per year. To find the present value of these cash flows, we can use the formula for the present value of a fixed cash flow series. Applying this formula, we find that the present value of the first 4 years' tuition cost is

\(7,200 + 7,200/(1+0.08) + 7,200/(1+0.08)^2 + 7,200/(1+0.08)^3.\)

For the next 5 years, the tuition cost increases by 5% per year. We can use the concept of future value to calculate the value of these cash flows in the last year of the 9-year period. Applying the formula for future value, we find that the tuition cost in the last year is \($7,200*(1+0.05)^5.\)

Finally, we can sum up the present value of the first 4 years' tuition cost and the future value of the tuition cost in the last year to obtain the total present worth of the tuition cost for the 9-year period.

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The possible values of angles A and C are;

60° and 70° or 55° and 75°

An acute triangle is a triangle that has all the measures of its angles to be less than 90°.  This means that none of the angles is greater than 90°

Since sum of the angles in a triangle is equal to 180°, then it means that;

∠A + ∠B + ∠C = 180°

We are given that;

∠B = 50°

Thus;

50° + ∠A + ∠C = 180°

∠A + ∠C = 180° - 50°

∠A + ∠C = 130°

It should be noted that all the angles of the acute triangle are also different.

Thus, the possible values of A and C are 60° and 70° or 55° and 75° because their sum must be equal to 130°

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The practical range of the function is between $100 and $625.

This can be calculated using the formula y=10x, where x is the number of subscriptions sold each week and y is the amount of money earned. To calculate the amount of money earned for selling t subscriptions each week, we can use the formula y = 10t. This can be interpreted as saying the amount of money (y) is equal to 10 times the number of subscriptions sold (t). For example, if Clarence sells 15 subscriptions each week, then we can calculate the amount of money he earns by plugging in t = 15. y = 10(15) = 150. This means Clarence earns $150 each week by selling 15 subscriptions. For example, if Clarence sells 10 subscriptions each week, he would earn $100 (10 x 10 = 100). If he sells 25 subscriptions each week, he would earn $625 (25 x 25 = 625). The practical range of the function is therefore $100 to $625.

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Answer:

the other two co ordinates of the rectangle are (-6,-2) and (1,-2)