solve each equation some solutions will be expressed using log notation be prepared to explain the reason

Answer:

\( \dfrac{z + 3}{z} \)

Step-by-step explanation:

\( \dfrac{z^2 + 11z + 18}{z^2 + 14 z + 45} \times \dfrac{z^2 + 8z + 15}{z^2 + 2z} = \)

Multiply the numerators. Multiply the denominators.

\( = \dfrac{(z^2 + 11z + 18)(z^2 + 8z + 15)}{(z^2 + 14 z + 45)(z^2 + 2z)} \)

Factor every polynomial.

\( = \dfrac{(z + 2)(z + 9)(z + 5)(z + 3)}{(z + 5)(z + 9)z(z + 2)} \)

Divide the numerator and denominator by equal factors.

\( = \dfrac{z + 3}{z} \)

The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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Answer:

A is the right one

Step-by-step explanation:

if not I'm sorry I'm here to help

The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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Answer:

Step-by-step explanation: where da answer at Kihanna?

Answer:vertical, 55, vertical, 55

Step-by-step explanation:

Answer:

I don't know what are you saying bro

0, 2, 3, 4, 6

my answer has to be 20 questions long

what's popping?

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.

In this problem, the older the car, the more it should have traveled, that is, the higher the read on the odometer, hence, there is a direct proportional relationship, which means that the variables have a strong positive correlation.

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Based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.

To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.

If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.

Therefore, based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

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Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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Given the equation:

cos²(x) + 9cos(x) = 5cos(x) + 5

cos²(x) + 9cos(x) - 5 cos(x) - 5 = 0

cos²(x) + 4cos(x) - 5 = 0

[cos(x) + 5][cos(x) - 1] = 0

cos (x) = - 5 x ∉ ℝ; so:

cos (x) = 1

Then;

x = 0, and x = 2π

The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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\(\\ \sf\longmapsto y=-5x^2-6x+15/2\)

\(\\ \sf\longmapsto -5x^2-6x-y+15/2=0\)

\(\\ \sf\longmapsto -10x^2-12x-2y+15=0\)

\(\\ \sf\longmapsto y=-5(x^2+\dfrac{6}{5}x+\dfrac{9}{25})+\dfrac{93}{10}\)

\(\\ \sf\longmapsto y=-5(x^2+2\dfrac{3}{5}x+(\dfrac{3}{5})^2)+\dfrac{93}{10}\)

\(\\ \sf\longmapsto y=-5(x+\dfrac{3}{5})^2+\dfrac{93}{10}\)

Compare to vertex form of parabola

\(\boxed{\sf y=a(x-h)^2+k}\)

Now

Answer:

Step-by-step explanation:

Given parabola:

The vertex is determined by x = - b/2a:

Find y- coordinate of vertex:

Answer:

Step-by-step explanation:

Add 18+12=20

20-(5+4)=11

Make 11 into a fraction over 100. Then take your numerator and that is your percent. Make sure your percentage is behind the decimal.

Answer:

a. 100.48

Step-by-step explanation:

c = r(pi)(2)

r = 16 m

pi = 3.14

16 x 3.14 = 50.24

50.24 × 2 = 100.48

Answer:

the fourth option

Step-by-step explanation:

the first step (translating=shifting it 5 units to the right) brings it into the bottom right quadrant with the vertical side (AC) being 1 unit to the right of the y-axis.

the second step (180° counterclockwise rotation) now turns it around upside down and mirroring left/right, bringing it into to top left quadrant, putting its vertical side now 1 unit to the left of the y-axis.

and that is A'B'C'.

Answer:

Option 1

Step-by-step explanation:

Remember that range is the x values or the input. So in this case the inputs {0, 1, 2, 3} are all matching the ones in option one!

Hope this helps and have a great day!

Answer:

120 miles

Step-by-step explanation:

Answer:

sept one

Step-by-step explanation:

Answer:

4 + 6 = 10

6 + 4 = 10

10 - 4 = 6

10 - 6 = 4

Step-by-step explanation:

If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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The required, 11 goes into 40 three times with a remainder of 7.

Simplification involves applying rules of arithmetic and algebra to extract undeserved terms, factors, or processes from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

11 goes into 40 three times with a remainder of 7.

We can use long division to find the answer:

      3

11 | 40

    33

    ---

     7

Therefore, 11 goes into 40 three times with a remainder of 7.

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Answer:

a. lines intersecting at a single point

b. one solution

Step-by-step explanation:

a. The equations can be rewritten as:

y = -5x+23 and y = -1/6x+1

Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.

Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.

b. The equation will have one solution as below.

The equations can be rewritten as:

5x+y=23

5x+30y=30

Subtracting both equation will result in,

29y=7

=> y=7/29

Hence x= 660/29

Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

The large jar has better value for money than the smaller one.

To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.

For the first jar we have:

q = £4.10/540 = 0.0075

For the second jar we have:

q' = £2.81/360 = 0.0078

Then we can see that the large jar has the best value for money.

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Answer:

w = -1.7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Property

Step-by-step explanation:

Step 1: Define

5(w + 2.2) - 4w = 9.3

Step 2: Solve for w

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Here we see that 9.3 does indeed equal 9.3.

∴ w = -1.7 is the solution to the equation.

The correct answer to your question is D

Sure hope this helps you

The triangles ΔDJY and ΔFJS are similar triangles. Then the value of x will be 75. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The angle ∠J is common for both triangles.

The triangles ΔDJY and ΔFJS are similar triangles, then we have

DJ/DF = YJ/YS

 50/x = 42/63

       x = 75

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Answer:

The circumference is 50.24 in. and the area is 200.96 in².

Step-by-step explanation:

The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.

The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².

Answer:

The circumference is 50.24 in. and the area is 200.96 in².

Step-by-step explanation:

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