A typical stop sign is in the shape of a regular octagon. The length of a side of a stop sign is 38.7 centimeters, and the radius is 50.6 centimeters. Calculate the area of the stop sign to the nearest square centimeter.

Answer:

4

Step-by-step explanation:

The 4 youngest, the 4 oldest, the 4 shortest, the 4 tallest. Hope this helps.

Answer:

6

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

[tex] \frac{ {x}^{2} + {y}^{3} }{2 + x} \\ [/tex]

when,

[tex]x = 6 \\ y = 2[/tex]

Now substitute the value we get,

[tex] \frac{ {6}^{2} + {2}^{3} }{2 + 6} \\ \\ = \frac{36 + 8}{8} \\ \\ = \frac{44}{8} \\ \\ = \frac{11}{2} [/tex]

Answer:

He'll need 2 bags to cover his yard.

Step-by-step explanation:

To solve this problem we first need to calculate the area of Victor's yard. It seemes by the dimmensions given that his yard have a rectangular shape, it's area is given by:

yard area = length*width

yard area = 45*50 = 2250 square feet

Since each bag will cover 1220 square feet, to calculate how many bags are needed for his yeard we need to divide the yard's area by the area each bag can cover. This is shown below:

number of bags = yard area/ bag area = 2250/1220 =1.84

Since he can't buy 0.84 bags we will round the number of bags to 2.

Answer:

p=0.1971

Step-by-step explanation:

-Let X be the normally distributed random variable with mean=1050kWh and standard deviation=218kWh.

-We use the z-test to test for the probability of mean consumption being between 1100kWh and 1225kWh as:

[tex]P(1100<X<1225)=P(\frac{1100-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{1225-\mu}{\sigma})\\\\=P(\frac{1100-1050}{218}<Z<\frac{1225-1050}{218})\\\\=P(0.2294<Z<0.8028)\\\\=P(Z<0.8028)-P(Z<0.2994)\\\\=0.7881-0.5910\\\\=0.1971[/tex]

Hence, the probability of mean consumption being between 1100 and 1225kWh is 0.1971

Answer: he should have 348 cars and 173 trucks.

Step-by-step explanation:

Let x represent the number of cars that he should have.

Let y represent the number of trucks that he should have.

He has room on his lot for 521 vehicles. It means that

x + y = 521- - - - -- - - - -1

Ramon has 175 more more cars than trucks. It means that

x = y + 175

Substituting x = y + 175 into equation 1, it becomes

y + 175 + y = 521

2y = 521 - 175 = 346

y = 346/2

y = 173

x = y + 175 = 173 + 175

x = 348

To determine the number of cars and trucks on Ramon's lot, two equations were formed: T + C = 521 and C = T + 175. Solving these equations simultaneously, it was found that Ramon should have 173 trucks and 348 cars.

Ramon's Car and Truck Problem

Let us define the number of trucks Ramon has as T and the number of cars as C. According to the problem, Ramon has room for 521 vehicles on his lot. The problem states that Ramon has 175 more cars than trucks, so we can express this as C = T + 175.

We know the total number of vehicles Ramon can have is 521, which leads us to the following equation: T + C = 521. Substituting the first equation into the second, we get T + (T + 175) = 521. Simplifying, 2T + 175 = 521. Subtracting 175 from both sides, 2T = 346. Dividing by 2, we find that T = 173. This means Ramon has 173 trucks on his lot.

Now, we substitute the value of T back into the equation for C: C = 173 + 175, which equals 348. So, Ramon should have 348 cars and 173 trucks on his lot.

Answer:

  B.  0.123

Step-by-step explanation:

You want the probability that hours are in the top 20% of a normal distribution with µ = 80 and σ = 7, if the number of hours worked is less than 90.

The number of hours will be in the top 20% if it exceeds the 80th percentile. That value is found using the inverse normal distribution.

  P(Z) > 0.8   ⇒   Z ≈ 0.8416

The Z-score associated with 90 hours is ...

  Z = (X -µ)/σ = (90 -80)/7 ≈ 1.4286

Then the probability of interest is ...

  P(0.8416 < Z < 1.4286) ≈ 0.1234

The probability the volunteer will receive a certificate is about 0.123, choice B.

__

Additional comment

We have found the probability indicated above, which matches one of the answer choices. The wording of the question suggests that a conditional probability is needed:

  P(Z>0.8416 | Z<1.4286) . . . hours in top 20% given they are less than 90

That value would be ...

  P(Z>0.8416 | Z<1.4286) = P(0.8416 < Z < 1.4286) / P(Z < 1.4286)

  P(Z>0.8416 | Z<1.4286) = 0.1234/0.9234 ≈ 0.134

The painter would take 25 days to paint 50 pairs of windows, given that he can paint 20 windows in 5 days.

To solve this problem, we first need to find out how many windows are in 50 pairs of windows.

Since each pair consists of 2 windows, 50 pairs would mean 50 x 2 = 100 windows.

Now, if the painter can paint 20 windows in 5 days, we can find out how many days it would take him to paint 100 windows using a proportion:

20 windows ------- 5 days

100 windows ------ x days

We can set up the proportion:

20/5 = 100/x

Now, cross multiply:

20x = 5 x 100

20x = 500

Now, divide both sides by 20 to solve for x:

x = 500 / 20

x = 25

So, it would take the painter 25 days to paint 50 pairs of windows.

Complete Question:

A painter can paint 20 windows in 5 days.If he has to paint 50 pair of windows,how many much time will he take to paint them?​

Answer:

es 132°

Step-by-step explanation:

KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .

Entonces,{LNK ≅ LNM}

7x+7=8x-3 8x-7=7+3,x=10

13x+2=13*10+2=130+2=132°

La respuesta es 132°

Based on the relationship of the intercepted arcs of congruent chords, the measure of arc JM is: C. 132°.

If two chords are congruent, then the corresponding arcs bounded by the chords will have equal measure too.

Thus, KL = LM, therefore:

7x + 7 = 8x - 3

Solve for x

7x - 8x = -7 - 3

-x = -10

x = 10

Arc JM = 13x + 2

Plug in the value of x

Arc JM = 13(10) + 2

Arc JM = 132°

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Answer:

The Area is 65

Step-by-step explanation: Hope this helps!

Answer:

65

Step-by-step explanation:

got it

Answer:

10/3

Step-by-step explanation:

2/3 x 5 is really

2     x    5

3            1

when you multiply them separately  you will get 10 as your numerator and 3 as your denominator.

hope this helps!

Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.

Step-by-step explanation:

Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.

Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.

You would like to have 7.2 lbs of a nut mixture. It means that

x + y = 7.2

The mixture would sell for $4.60/lb. It means that the cost of the mixture would be

4.6 × 7.2 = $33.12

This means that

3x + 5.4y = 33.12- - - - - - - - - 1

Substituting x = 7.2 - y Intl equation 1, it becomes

3(7.2 - y) + 5.4y = 33.12

21.6 - 3y + 5.4y = 33.12

- 3y + 5.4y = 33.12 - 21.6

2.4y = 11.52

y = 11.52/2.4

y = 4.8

x = 7.2 - y = 7.2 - 4.8

x = 2.4

Answer:

Step-by-step explanation:

1,3

So the answer is 3m^2n^5

Final answer:

To find the quotient of ([tex]36m^5n^5 \div 12m^3[/tex]), divide the numerical coefficients and subtract the exponents for each variable base. The correct quotient is [tex]3m^2n^5[/tex], which corresponds to option 3.

Explanation:

Divide the numerical coefficients: 36 ÷ 12 = 3.

Subtract the exponents of the variables with the same base (m): 5 - 3 = 2.

Subtract the exponents of the variables with the same base (n): 5 - 0 = 5.

Therefore, the quotient is 3m2n5, which matches option 3: [tex]3m^2n^5[/tex].

Answer: To find the roots of a Rational Expression we only need to find the the roots of the top polynomial, so long as the Rational Expression is in "Lowest Terms". Lowest Terms means when the top and bottom of a fraction have no common factors.

Step-by-step explanation:

Answer:

√36 = 6

³√ 5 = 5 ^ ⅓

⁴√ 16 = 16 ^ ¼

= 2

Step-by-step explanation:

Mathematically, the square of a number, is the power of 2 to the base of that number, or the exponent 2 to the base of that number.

Such as :

The Square of 5.

=5²

= 5*5 = 25.

In thesame vain, the SQUARE of a number is to the power 2 of that number.

Hence, the SQUARE ROOT, of any number is the ROOT 2 , to that number. Such that:

Square roots of 5:

√5

= 5 ^½

√12

= 12 ^ ½

√36

= 36 ^ ½

= 6

For other expression other than 2, the rational expression will be a function of the value before the root.

Such that:

1. ³√5 = 5 ^ ⅓

2. ³√ 12 = 12 ^ ⅓

3. ³√8 = 8 ^ ⅓ = 2

4. ⁴√ 16 = 16 ^ ¼ = 2

5. ⁴√24 = 24 ^ ¼

The other goes on and on in that order

Well let us see,

[tex]\dfrac{\frac{2y}{5x}}{\frac{y}{6x}}=\dfrac{12xy}{5xy}=\color{blue}\boxed{\dfrac{12}{5}}[/tex].

Hope this helps.

Answer:

[tex] \huge \purple { \frac{12}{5} }[/tex]

Step-by-step explanation:

[tex] \huge \frac{ \frac{2y}{5x} }{ \frac{y}{6x} } \\ \\ \huge = \frac{2y}{5x} \times \frac{6x}{y} \\ \\ \huge = \frac{2}{5} \times \frac{6}{1} \\ \\ \huge \red{ = \frac{12}{5} }[/tex]

Answer:3747

Step-by-step explanation:

The slope of the linear function y=0.08x+8.95 is 0.08, indicating the cost increases by $0.08 per minute. The y-intercept is 8.95, representing the monthly flat fee of $8.95 when no calls are made.

The linear function given is y=0.08x+8.95, where y represents the monthly cost in dollars and x represents the number of minutes called in a month. In this equation, the slope is 0.08 and it represents the rate at which the cost increases per minute of call time. The y-intercept is 8.95, which is the base cost of the service when no minutes have been used.

The interpretation of the slope is as follows: for each additional minute of call time, the cost increases by $0.08. The interpretation of the y-intercept is that even if no calls are made in a month, the service will still cost $8.95, reflecting a flat monthly fee.

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Answer:

a. is B b. is D

Step-by-step explanation:

To find the absolute maximum and minimum values of a function, we find the critical points and endpoints. Evaluating the function at these points gives the maximum and minimum values.

To find the absolute maximum and absolute minimum values of a function on a given interval, we need to find the critical points and endpoints of the interval.

To find the critical points of f, we need to find where the derivative of f is equal to zero or undefined. The derivative of f(t) = 9t + 9cot(t/2) is f'(t) = 9 - 9csc^2(t/2).

Setting f'(t) = 0, we have 9 - 9csc^2(t/2) = 0. Solving this equation, we get csc^2(t/2) = 1, which means sin^2(t/2) = 1. This gives us sin(t/2) = ±1. The critical points occur when t/2 = π/2 or t/2 = 3π/2. Solving for t, we get t = π or t = 3π as the critical points.

The endpoints of the interval are π/4 and 7π/4.

Now we evaluate the function f at the critical points and endpoints:

From these evaluations, we can see that the absolute maximum value occurs at t = 7π/4 and is approximately 46.607, while the absolute minimum value occurs at t = π/4 and is approximately 6.566.

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The argument discrediting Todd Burpo uses an ad hominem fallacy and a fallacy of weak induction called circumstantial ad hominem, focusing on Burpo's potential financial gain instead of the validity of his claims.

The argument presented commits a couple of logical fallacies.

Firstly, it commits the ad hominem fallacy, which is a type of fallacy of relevance.

This fallacy occurs when the arguer attacks the person making the argument instead of the argument itself.

In this case, discrediting Todd Burpo because he has a financial motivation does not address the actual content of his claims about heaven.

Secondly, there's a fallacy of weak induction known as circumstantial ad hominem.

Here, the suggestion is that Burpo’s circumstances (wanting to sell books), rather than evidence, make his claims unworthy of consideration, which is an insufficient basis to deny the merits of his arguments.

While the argument does not prove the existence of a supernatural deity, dismissing it because of the author's potential financial gain uses inappropriate grounds that do not speak to the truth or falsity of the actual claim, thus making it an invalid critique.

The burden of proof demands that a claim be established through reason and evidence, and this fallacy does not appropriately engage with either.

Answer:

True for all values of x

The given equation 6x − 4 = -4 + 6x, is true for all values of x.

so, we get, each equation is true for all values of x.

Here, we have,

The equation 6x - 4 = -4 + 6x can be simplified as follows:

Subtracting 6x from both sides, we get:

-4 = -4

This equation states that -4 is equal to -4,

which is true for all values of x.

The equation holds true regardless of the value of x.

Therefore, the given equation is true for all values of x.

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Answer:

she needs 600 g chocolate. He needs 150 g flour. his recipe is for 6 people

Answer:

30 cm

Step-by-step explanation:

To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:

54/9 = 6

L = 9

W = 6

The perimeter is 2lw:

The answer is 30 cm

Answer:

C 30 it not it 34

Step-by-step explanation:

just did it

Answer:

You can have 11 outcomes:

2: 1/36

3: 2/36

4: 3/36

5: 4/36

6: 5/36

7: 6/36

8: 5/36

9: 4/36

10: 3/36

11: 2/36

12: 1/36

Odd numbers are 3,5,7,9,11 thus the probability is (2+4+6+4+2)/36

Step-by-step explanation:

try this i think this is the answer i looked it up

Answer: he should buy 3 bags

Step-by-step explanation:

In order to determine the area of the flower bed which has the shape of a Pentagon, we would apply the formula for determining the area of a polygon which is expressed as

Area = (perimeter × apotherm)/2

The apotherm is the perpendicular distance from the center of the polygon. The formula for determining the apotherm is

Apotherm = S/2tan(180/n)

Where

S = side length of the polygon

n = number of sides of the polygon.

From the information given,

S = 15 feet

n = 5

Apotherm = 15/2tan(180/5) = 10.3 ft

Perimeter = side length × number of sides

Perimeter = 15 × 5 = 75 ft

Therefore,

Area of the Pentagon = 75 × 10.3/2 = 386.25 ft²

A bag of fertilizer states that it can fertilize up to 150 square feet. Therefore, the number of bags that he can buy is

386.25/150 = 2.575 bags

He should buy approximately 3 bags

Answer:

the length between them is 4

Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

the difference between -2 and 2 is 4

-2 , -1, 0, 1, 2,

Answer:

4

Step-by-step explanation:

Q and T are on the same line.

-9 is the x value for both points.

All you are left with is the distance between -2 and 2.

Subtract and take absolute value if you come up with a negative answer.

2 - -2 = 4

Answer:

$7.5 is the ROI on each sweatshirt

Step-by-step explanation:

In this question, we are asked to calculate ROI for a businessman who sells sweatshirts.

To calculate the profit we need to subtract the total cost incurred form manufacture to delivery and subtract bogus from the cost at which he sells the shirts.

Mathematically let’s calculate the cost from production to delivery.

That would be ;

$15 + $3 + $0.5 = $18.5

sales price is $26

His ROI will be $26 - $18.5 = $7.5

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: [tex]x_1=3, x_2=9[/tex]

The equation of symmetry at the parabola's vertex is x=h

Where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

In this case,

[tex]h=\dfrac{3+9}{2}=6[/tex]

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

The vertex of a parabola is the minimum or maximum point of  the parabola.

The x-coordinate of the vertex is 6

The intersection points are given as:

[tex]\mathbf{x_1 = 3,\ x_2 = 9}[/tex]

The x-coordinate of the parabola is calculated as:

[tex]\mathbf{x = \frac{1}{2}(x_1 + x_2)}[/tex]

So, we have:

[tex]\mathbf{x = \frac{1}{2}(3 + 9)}[/tex]

[tex]\mathbf{x = \frac{1}{2}(12)}[/tex]

Simplify

[tex]\mathbf{x = 6}[/tex]

Hence, the x-coordinate of the vertex is 6

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Answer:

inbound marketing

Step-by-step explanation:

The case of Sophia inserting links to products she sells within her food blog is an example of affiliate marketing. With this strategy, Sophia can generate revenue each time a reader makes a purchase through a link on her blog.

Sophia's action of incorporating links to products that she has for sale within her blog about food specialties is an example of effective affiliate marketing. In affiliate marketing, an individual recommends products to their audience, and earns a commission on any sales that come from their referrals. By integrating these product links in her blog post, Sophia can generate revenue each time a reader clicks on the link and purchases the product. This allows her to monetize her blog in an easy and effective way.

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Answer:we have the same thing,

Step-by-step explanation:medium,from end to middle

Answer:

Please give Branliest

1. minimum = 3

maximum = 9

median = 7

2. minimum = 8

maximum = 24

median = 15

3. minimum = 21

maximum = 40

median = 28

lower quartile =26

upper quartile = 24

Step-by-step explanation:

minimum is the lowest number in the set

maximum the highest number

to find the median, line the numbers up in order, and find the number in the middle that is the median

quartiles are the medians or middles of the numbers above the median or bellow

for example 21 26 27 28 33 34 40

the quartiles are 26 and 34