What is the perimeter of the regular pentagon?

Answer:

Slope: -3/2          Y-intercept: (0, -9/2)

Step-by-step explanation:

~ Hope this helps ~

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

y-7=-2/1 (x-1)

Step-by-step explanation:

Hope this helps!

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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Answer:the last one

Step-by-step explanation:

Answer:

-3.8

Step-by-step explanation:

I used my calculator.

Answer:

-3.8            

Step-by-step explanation:

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer:

x > -3

Step-by-step explanation:

-4x+6>18   (take 6 to the other side)

-4x>18-6

-4x>12  divide both sides by -4

x> -3

Answer:

x > -3

Step-by-step explanation:

-4x+6>18   (take 6 to the other side)

-4x>18-6

-4x>12  divide both sides by -4

x> -3

Answer:

none of the choices are correct

Step-by-step explanation:

it's 4/3

20/15=4.3333333333333

4/3=4.333333333333333

8/6=4.33333333333

The scale factor of the two triangles is \(\frac{3}{4}\).

When two triangles are similar, the reduced ratio of any corresponding sides is called  the scale factor of the similar triangles.

Similar triangles are triangles that have the same shape, but their sizes may vary.

According to the given question

We have two triangles NGK and ALH

In which

NG = 15, GK = 6, NK = 3

And, AL =  20, LH = 8 and AH = 4

Since, we have to find the scale factor of these two triangles so the two triangles must be similar.

As, ΔNGK is similar to ΔALH

⇒ \(\frac{NG}{AL} = \frac{GK}{LH} = \frac{NK}{AH}\)

⇒ \(\frac{15}{20} = \frac{6}{8} =\frac{3}{4}\)

⇒ \(\frac{3}{4} = \frac{3}{4} =\frac{3}{4}\)

Hence, the scale factor of the two triangles is \(\frac{3}{4}\).

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Answer:

He can have 40 guinea pigs in the store.

Step-by-step explanation:

Since Jonas runs a pet store that sells guinea pigs, and he wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store, and he currently has 8 pounds of dry food, to know how many guinea pigs can he have in the store, the following equation must be performed:

1 = 5

8 = X

8 x 5 = X

40 = X

Therefore, he can have 40 guinea pigs in the store.

Answer:

x less-than-or-equal-to 40

Step-by-step explanation:

Answer:

  (-20x -25)/(x^2-x-30)

Step-by-step explanation:

You want to simplify the rational expression (3x²)/(x²-x-30) -(3x+5)/(x-6).

Usually these problems are constructed so that the higher-degree polynomial denominator has the lower degree denominator as a factor. That is the case here.

  \(\dfrac{3x^2}{x^2-x-30}-\dfrac{3x+5}{x-6}=\dfrac{3x^2}{(x+5)(x-6)}-\dfrac{(x+5)(3x+5)}{(x+5)(x-6)}\\\\=\dfrac{3x^2-(3x^2+20x+25)}{x^2-x-30}\)

  \(=\boxed{\dfrac{-20x-25}{x^2-x-30}}\)

\(60 \div 5 = 12\)

\(8 \times 12 = 96km\)

Answer:

96 kilometers

Step-by-step explanation:

Let's set up a proportion using the following setup.

scale / actual = scale / actual

The scale is 5 cm to 60 km.

5cm / 60 km= scale/ actual

The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.

5 cm/ 60 km= 8 cm/ x km

5/60=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

(5*x)=(8*60)

5x=8*60

5x=480

5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.

5x/5=480/5

x=480/5

x=96

x= 96 km

The actual distance between the two points is 96 kilometers.

Answer:

4 pounds of lime and 5 pounds of pears

Step-by-step explanation:

I + P = 9

0.5l + 1.5P = 9.5

I = 9 - P

0.5(9 - P) + 1.5P = 9.5

4.5-0.5P + 1.5P = 9.5

4.5 + P (1P) = 9.5

P = 9.5-4.5 = 5

I = 9 - 5 = 4

Answer: 4 pounds of lime and 5 pounds of pears

Answer:

Therefore, the earliest time to take the next pill is after 10.85 hours and the latest time is before 15.14 hours have passed.

Step-by-step explanation:

The concentration of the drug in your system after ingesting 100.0 mg can be calculated using the formula:

C = D / V

where C is the concentration, D is the dose, and V is the volume of distribution (assumed to be constant).

At the initial time, t = 0, the concentration is:

C(0) = 100.0 mg / V

After one half-life, t = 16 hours, the concentration is:

C(16) = C(0) / 2 = 50.0 mg / V

After two half-lives, t = 32 hours, the concentration is:

C(32) = C(16) / 2 = 25.0 mg / V

After three half-lives, t = 48 hours, the concentration is:

C(48) = C(32) / 2 = 12.5 mg / V

To find the earliest and latest times to take the next 100.0 mg pill, we need to calculate the concentration at those times and make sure it stays between 20.0 mg and 140.0 mg.

Let's first find the earliest time at which the concentration drops below 20.0 mg.

20.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))

Solving for x:

2^(x/16) = 50.0 / 20.0 = 2.5

x/16 = log2(2.5)

x = 16*log2(2.5) = 16*0.678 = 10.85

So the earliest time to take the next pill is after 10.85 hours.

Now let's find the latest time at which the concentration goes above 140.0 mg.

140.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))

Solving for x:

2^(x/16) = 50.0 / 140.0 = 0.3571

x/16 = log2(0.3571)

x = 16*log2(0.3571) = -15.14

So the latest time to take the next pill is before 15.14 hours have passed.

Step-by-step explanation:

\(\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}\)

\(\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}\)

\(\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}\)

\(\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}\)

\(\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)\)

\(\:\:\:\:\: \displaystyle= 2x\)

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Miss Saver needs to withdraw $391 each year from her bank.

To solve this problem, we need to

First, we need to determine the total amount of money Miss Saver will have saved using:

Total = $1000 * (1 + 0.05)^30 = 4321.94

Next, we need to determine the future value of this amount after 30 years at an effective annual interest rate of 2%.

This is done using

$4321.94 * (1 + 0.02)^30 = $7828.60

Now, we can determine the annual withdrawal amount, X as follows

X = $7828.59/20 = $391.4295

Rounding up to the nearest integer, X = $391

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The slope of the function y = 2 + 34x is 34 and the y-intercept of the function y = 2 + 34x is 2.

First, let us understand the slope intercept form;

The slope intercept form is simply a way of writing a line's equation so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are obvious.

We know that the slope intercept form of a line is y = mx + c where m is the slope of the line and b is the y-intercept of the line.

We are given:

y = 2 + 34x

y = 34x + 2

Compare with y = mx + c, we will get;

m = 34

b = 2

So, the slope is 34 and the y-intercept is 2.

Thus, the slope of the function y = 2 + 34x is 34 and the y-intercept of the function y = 2 + 34x is 2.

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Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

Answer:

1

Step-by-step explanation:

(195 - 85)/2 = 54x+1 -->

110/2 = 54x + 1 -->

55 = 54x + 1 -->

54 = 54x -->

1 = x

Answer:

Michelle finished at 8:10 pm.

Step-by-step explanation:

85 mintues can be simplified to 1hr and 25 minutes, so add 85 to 6:45 and you get 8:10 :)  If im wrong im sorry

The time at which Michelle finish her dance class is given by the equation A = 8 : 10 PM

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the time at which Michelle finished her class be A

Now , the time required for the dance class = 85 minutes

So , the time required for the dance class = 1 hour 25 minutes

The time at which Michelle started her class = 6 : 45 PM

So , the time at which Michelle finished her class A = time at which Michelle started her class + time required for the dance class

Substituting the values in the equation , we get

The time at which Michelle finished her class A = 6 : 45 PM + 1 hour 25 minutes

On simplifying the equation , we get

The time at which Michelle finished her class A = 8 : 10 PM

Hence , the equation is A = 8 : 10 PM

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The Central tendency is typically located to the right of the tallest bar.

In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.

The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.

In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.

On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.

The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.

To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.

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9514 1404 393

Answer:

Step-by-step explanation:

The vertex form of the quadratic equation is ...

  y = a(x -h)² +k . . . . . . . . . vertex (h, k); vertical scale factor 'a'

Given the vertex, we can find the scale factor by substituting the given point values:

  11 = a(-1 -3)² -5

  11 = 16a -5

  a = (11 +5)/16 = 1

So, the vertex form equation is ...

  y = (x -3)² -5 . . . . . vertex form

Expanding this gives the standard form.

  y = x² -6x +9 -5

  y = x² -6x +4 . . . . . standard form

The solution to the given algebraic expression 3(2-4x) = 5-8x is x = 1/4

3(2-4x) = 5-8x

open parenthesis

6 - 12x = 5 - 8x

combine like terms

6 - 5 = -8x + 12x

1 = 4x

divide both sides by 4

x = 1/4

Ultimately, x = 1/4 is the answer to the algebraic expression.

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Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation: