How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootIndex 3 StartRoot x EndRoot?
It is horizontally stretched by a factor of mc031-3.
It is vertically stretched by a factor of mc031
It is translated left by mc031-5unit.
It is translated right by mc031-6.unit.

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 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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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.

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.

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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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

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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Answer:

1-250 i think

Answer: B

Step-by-step explanation:

trust me bro

Answer:

b. line of best fit

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The time for which the person must leave the money in the bank until it reaches $2500 is 1.2.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount is 1000 dollars, while the rate of interest is 6.75% which is compounded monthly. Therefore, the time it will need for the account to reach $2500 is,

2500 = 1000[1+(0.0675/12)¹²ˣⁿ

2.5 = (1.0675)¹²ⁿ

log(2.5)\ log(1.0675) = 12n

14.0278 = 12n

n = 1.1689 ≈ 1.2

Hence, the time for which the person must leave the money in the bank until it reaches $2500 is 1.2.

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Answer: 13.6 years

Step-by-step explanation: Dealta Math Answer

Answer:

a∈(-∝;-17)∩(11;+∝).

Step-by-step explanation:

|a+3|>14; ⇔ 14<a+3<-14; ⇔ 11<a<-17;

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.

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:

[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]

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

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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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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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

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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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].

Answer:

  0.513671875 = 263/512 inches

  easier to use: depends on the measurement tool

Step-by-step explanation:

The model dimension is found by multiplying the actual dimension by the scale factor.

__

  model frame dimension = actual frame dimension × 1/64

  = (32.875 inches)/64 = 0.513671875 inches

In fractional form, this is ...

  (32 7/8) / 64 = (263/8) / 64 = 263/512 . . . inches

__

It is unlikely that a casual hobbyist will have access to tools that measure with a resolution finer than 0.0001 inches. More common would be a measurement resolution of 0.001 inches. Using such tools, the rounded decimal value 0.5137 or 0.514 inches would be more useful than the fractional measurement.

It is possible that an optical measuring device could be available that would present its result as a fraction of an inch. If such a tool were used, the fractional measurement value would provide an appropriate point of comparison.

In short, the measurement easiest to work with depends on the tool being used to make the measurement.

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:

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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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.