Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true

well, if you had the cash right now, you can put it down cold for 5995.67 bucks

OR

put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95  48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.

well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.

The correct answer is option A. which is the right triangle shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.

The complete figure is attached with the answer below.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

In the given figure of option A, we can see that the hypotenuse is 6.7 and the base is 4.3 and the angle between both the sides is x. Now we will calculate the angle of cosine x.

Cos(x)= Base / Hypotenuse

Cos(x) = ( 4.3 / 6.7 )

(x) = Cos⁻¹ ( 4.3 / 6.7)

Therefore the correct answer is option A. which is the right triangle shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.

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Answer:

The answer is A

Step-by-step explanation:

Just took the test

Based on the operations and their times, the capacity of this process is 10 per hour and the action that would yield the greatest increase would be 2. increase operation 2 by 14%.

The capacity of the process is the least operation time in the process which is 10/ hr.

Check all the alternatives given. The alternative with the lowest capacity is best.

Increase operation 1 by 12%:

= 11 x (1 + 12%)

= 12.32 per hour

Increase operation 2 by 14%:

= 10 x (1 + 14%)

= 11.4 per hour

Increase operation 3 by 10%:

= 12 x (1 + 10%)

= 13.2 per hour

The best alternative is therefore to increase operation 2 by 14%.

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By using the motion equations, we conclude that she will make the goal.

First, we know that the goal is 20ft away, and the position in x is given by:

[tex]x = 28*cos(58)*t[/tex]

Let's find the time in which the ball will travel these 20 ft.

[tex]20 = 28*cos(58)*t[/tex]

[tex](20)/(28*cos(58)) = t = 1.35[/tex]

So the horizontal distance is covered in 1.35 seconds, now let's see which is the height of the ball at that time.

The height equation is:

[tex]y = -16*t^2 +28*sin(58)*t[/tex]

Evaluating in t = 1.35 we get:

[tex]y = -16*(1.35)^2 +28*sin(58)*1.35\\\\y = 2.9[/tex]

And the goal is 5ft tall, so we can conclude that she will make the goal.

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well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7[/tex]

Answer:

Answer is 7% sales Tax

Step-by-step explanation:

I first like to take one percent of the original value, in this case 1% of 600 is 6 dollars. I then multiply 6 by the number needed to get to 642, which is 107- you will always then subtract 100 from this number and you get 7%. This should work for other problems as well. This is probably not the best explanation btw

Answer:

59

Step-by-step explanation:

Round 59.3506494 to the first 2 sig figs which is 59 since the number next to the decimal isnt over or 5, so it stays as 59 instead of 60.

Answer:

In the right triangle, the side a=[tex]4[/tex] and the hypotenuse c=[tex]7[/tex].

To find: the value of x

We have,

[tex]a=6[/tex] and [tex]c=7[/tex]

Now,by the pythagorean theorem,

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Substitute the values,

[tex] {6}^{2} + {x}^{2} = {7}^{2} [/tex]

[tex]36 + {x}^{2} = 49[/tex]

Subtract 36 from each sides,

[tex] {x}^{2} = 13[/tex]

Take square root from each sides,

[tex]x = \sqrt{13} [/tex]

Hence, the value of x is [tex]\sqrt{13}[/tex].

The value of the variable t will be 13 / 12.

The analysis of mathematical representation is algebra, and the handling of those symbols is logic.

The equation is given below.

3t - 2/4 - 2t - 3/3 = 2/3 - t

Then the value of t will be

t - 3/2 = 2/3 - t

      2t = 2/3 + 3/2

      2t = 13 / 6

         t = 13/12

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We can conclude that the function evaluated in x = 5 is equal to 2.3150

Here we have the function:

[tex]f(x) = \frac{20}{5 + 6e^{-0.1x}}[/tex]

And we want to evaluate in x = 5, this just means to replace the x by a 5 in the given function:

We can evaluate this with a calculator (as doing it by hand is kinda hard), we will get:

[tex]f(5) = \frac{20}{5 + 6e^{-0.1*5}} = 2.3150[/tex]

So we can conclude that the function evaluated in x = 5 is equal to 2.3150.

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Answer:

8- foot shadow? i am not sure

Answer:

i believe its 12 feet!

Step-by-step explanation:

assuming that the difference from the 6 foot giraffe with a four foot shadow is two feet, the 10 foot shadow would be two feet less then the giraffes height.

Answer: It's B.

Step-by-step explanation: It can't be A or D. The y-intercept is 2, not 4 so it is B.

Answer:

a=3=8

Step-by-step explanation:

there is none

The construction forms a diagram consisting of a circle, two tangents, and a central angle EAD as shown in the attached figure.

Construction is a topic that requires drawing a required shape, line, and figure with constructing tools. The appropriate steps should be taken so as to complete the required figure.

In the given question, the circumference of the required circle passes through points A and C. And the radius of the circle with center B is 4 units so its diameter is 8 units. Then joining the points D and E to A, creates a central angle EAD.

Following the appropriate steps, the required diagram for the construction is as given in the attachment to this question.

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Answer:

Depositors

Step-by-step explanation:

Answer:

Banks get the money from the people that deposit their money at the bank for a low interest rate and lend to the customers with a high interest rate.

Answer:

x^2 -3x+1

it is your answer

The function x² - 3x + 1 represents a quadratic function.

A quadratic function is a function of the form f(x) = ax² + bx + c, where a, b, and c are constants.

In option A, we have f(x) = x² - 3x + 1, which fits the form of a quadratic function with coefficients a = 1, b = -3, and c = 1.

In option B, the function is Exponential.

In option C, the function is Exponential.

In option D, the function is logarithm.

Therefore, x² - 3x + 1 represents a quadratic function.

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The statement that is an example of the distributive property is (c) 3(2+15)= 3(2) + 3(15)

The distributive property states that:

a(b + c) = a(b) + a(c)

Using the above property, we have:

3(2+15)= 3(2) + 3(15)

Hence, the statement that is an example of the distributive property is (c) 3(2+15)= 3(2) + 3(15)

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Answer:

a∈(-∝;-17)∩(11;+∝).

Step-by-step explanation:

|a+3|>14; ⇔ 14<a+3<-14; ⇔ 11<a<-17;

Answer:

2

Step-by-step explanation:

the same as...

(2) is the answer

If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.

The central limit theorem states in probability theory that, in many instances, when independent random variables are added together, their correctly normalized sum tends toward a normal distribution, even if the original variables are not normally distributed.

If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.

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Explanation:

The commutative property of addition is where we can add two numbers in any order.

The general equation is x+y = y+x

A more concrete example would be something like 2+3 = 3+2 since both sides simplify to 5.

For 5a+b, it is the same as b+5a. We swap the two terms.

Answer:

2|10

5|5

1

Prime factors of 10 are 2*5

The slope formula along with coordinates of points ( p,q) and (x,y) [tex]m = \dfrac{y-q}{x-p}[/tex].

A slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When the slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to the amount we walk or run on the horizontal axis, the more the slope is.

The slope of a line that passes through points ( p,q) and (x,y)

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

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The percentile rank for 10 will be 10th.

The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.

Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100

For 10,

Percentile rank = {[0 + 0.5]/5} x 100 = 10th

For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x  100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5  x  100 = 70th

For 30,

Percentile rank = [4 + 0.5]/ 5  x 100 = 90th

The percentile rank for 10 will be 10th.

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By assuming that the motion of the plastic disc thrown by Mary is a projectile motion, the missing values are 4 and 3 respectively.

Since we're assuming that the motion of the plastic disc thrown by Mary is a projectile motion, it simply means that the motion can be represented by a quadratic function (parabolic).

For a projectile motion, the height of the disc at the time when it's at the top would be the same (equal). Thus, we can logically deduce that:

Height at time (t = 1 seconds) = Height at time (t = 5 seconds)

4 = A.

Similarly, Height at time (t = 0 seconds) = Height at time (t = 6 seconds)

3 = B.

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The time taken for the candle to burn down to a height of 1.3 inches is 4.5 hours

A linear function is what can be written in the form of

y =mx+c

The rate at which the candle is burning is 0.6 inches/ hour

The initial height is 4 inches at t=0

The straight line equation can be written for this as

y =mx +c

as m = -0.6

at x = 0 , y = 4 therefore c =4

y = -0.6x +4

The time at which y = 1.3 inches is

1.3 = -0.6x +4

-2.7 = -0.6 x

x =4.5

4.5 hours is the time taken for the candle to burn down to a height of 1.3 inches.

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Answer:

[tex]x=5\\[/tex]

Step-by-step explanation:

First, put your equations into a system.

[tex]\left \{ {{x+7y=16} \atop {3x-7y=4}} \right.[/tex]

Next, use the method of elimination to solve the system. Elimination is when either x or y has an opposite coefficient (so in this case y has a coefficient of 7 or -7 depending on the equation). You can then add the equations, and y is eliminated as a variable. Now you can solve for x.

[tex]4x=20[/tex]

Lastly, divide by 4 on both sides to get x by itself.

[tex]x=5\\[/tex]

Answer:

b. line of best fit

Answer:

the value of cos 0 is 7

Step-by-step explanation:

because you have to times it twice

Answer:

Between 0 and 1

Step-by-step explanation:

Cos Θ is the x coordinate of the unit circle. The points of that circle in quadrant IV have an x coordinate of 0≤x≤1.