A stop sign is a regular octagon with eight congruent sides and eight congruent angles. What is the sum of the measures of the interior angles?
O 780°
O 900°
O 1080°
O 1260°

Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.

To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.

The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.

For example, if we let x = 0, we can solve the equation for y:

y - 7 = 3(0 + 9)

y - 7 = 3(9)

y - 7 = 27

y = 27 + 7

y = 34

So, one point on the line is (0, 34).

Alternatively, if we let x = -9, we can solve the equation for y:

y - 7 = 3(-9 + 9)

y - 7 = 3(0)

y - 7 = 0

y = 7

So, another point on the line is (-9, 7).

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Answer:

Step-by-step explanation:

The average rate is just the slope of the function between t = 0 and t = 10, so we must calculate change in w / change in t. w(10) = 130. w(0) = 100. So, the slope = (130-100)/(10-0) = 30/10 = 3 gallons per minute.

Answer:

The area of rectangle is 77 sq ft.

Answer: 77 sq ft

Step-by-step explanation:

Answer:

Amanda will catch up Ben after 0.6 hours.

Step-by-step explanation:

Amanda begins jogging along the same path at 7 mi/h.

This means that Amanda's position, after t hours, is given by:

\(A(t) = 7t\)

Ben starts walking along a path at 2 mi/h.

Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

\(B(t) = 3 + 2t\)

How long (in hours) will it be before Amanda catches up to Ben?

This will happen when:

\(A(t) = B(t)\)

So

\(7t = 3 + 2t\)

\(5t = 3\)

\(t = \frac{3}{5}\)

\(t = 0.6\)

Amanda will catch up Ben after 0.6 hours.

It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.

This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.

Let s represent the distance Amanda travels until she meet Ben.

We can set a timer on our phone when she leaves in order to track the time taken.

Let t represent the time taken.

We can come up with two equations from these scenario

Substitute equation (ii) into equation (i)

\(7t -3 =2t\)

collect like terms

\(7t-2t=3\\5t=3\\t=3/5\\t=0.6\)

From the above, we can see it took her 0.6 hours to catch up with Ben.

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Answer:

option a is correct

Step-by-step explanation:

I think

Answer:

D -  It has a single solution: x = -3, y = 26.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

For every 1 of the base, there's 4 of the area.

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Using the normal distribution, there is a 0.7967 = 79.67% probability that at most 12 adults in a sample of 100 adults pass this fitness test.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters of the binomial distribution are given by:

p = 0.1, n = 100.

Hence the mean and the standard deviation for the approximation are given by:

The probability at most 12 adults in a sample of 100 adults pass this fitness test, using continuity correction, is P(X < 12.5), which is the p-value of Z when X = 12.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{12.5 - 10}{3}\)

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

0.7967 = 79.67% probability that at most 12 adults in a sample of 100 adults pass this fitness test.

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Answer:

The equation of direct variation relates two variables that vary proportionally to each other, and can be written as y = kx, where k is the constant of proportionality. To find k, we can plug in the values of x and y given in the problem and solve for k:

y = kx

14 = k(11)

k = 14/11

Now that we know k, we can write the equation of direct variation as:

y = (14/11)x

Therefore, when x = 11 and y = 14, the equation of direct variation is y = (14/11)(11) = 14.

Answer:

Step-by-step explanation:

101.50 x 28 = 2,842.00

Price of TV = 2,499.00

2,842.00 - 2,499.00 = 343.00

$343.00 was paid in finance charges

Answer:

what

Step-by-step explanation:

Answer:

HAVE A FANTASTIC DAY!!!XD

Step-by-step explanation:

BRAINLIEST WOULD BE MUCH APPRECIATED!!!

Answer:

x = 10

Step-by-step explanation:

to find the measure of angles we first need to find the value of x

The sum of interior angles in a triangle is equal to 180

9x + 7x + 2x = 180 add like terms

18x = 180 divide both sides by 18

x = 10 to find angle measures replace x with 10 in each representative like:

m<L = 9x and 9*10 = 90 and so on

The common ratio of the geometric series which satisfies the condition given is; 4.

The given Geometric series has successive terms;

Hence, the common ratio of the geometric series is the quotient of S and C;

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Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Answer:

A) 1.3*10¹

B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned

C)1.4*10¹

D)1.2*10¹

Step-by-step explanation:

For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10

This might sound very complicated so I can give you an example to simplify

Let's take 1.3*10¹

In this case X is 1.3

This means X*10¹

The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.

Now this number X should be between 1 and 10.(Including 1)

Scientific notation= X*power of 10

where x>=1 & x<10

That is the explanation

Hope it helps

If you think my explanation is a bit complicated

you can ask me again

Answer:

80+30h

Step-by-step explanation:

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

6 + 3e

Step-by-step explanation:

The expression in the mathematical form will be 6 + 3e.

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

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Three times the sum of 2 and e. Then the expression in the mathematical form will be

The sum of 2 and e will be

⇒ 2 + e

Then the three times the sum of 2 and e will be

⇒ 3(2 + e)

⇒ 6 + 3e

The expression in the mathematical form will be 6 + 3e.

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Answer:

y=12, x=6

Step-by-step explanation:

y+3=15

3x-6=12

Answer:

Equal 12.5

choose : A. 12

Answer:

Domain: -3 ≤ x ≤ 9

Step-by-step explanation:

The domain of the graph is the set of all possible x-values.

The set of all possible values as represented on the graph above runs from -3 to 9.

This, domain of the graph is -3 ≤ x ≤ 9

This is simple algebra. The process of solving for p is shown below:

p is 11

Answer: On Tuesday and Thursday

Step-by-step explanation:

On Tuesday, Mrs. Smith rode her favorite horse for 1 9/15 miles. Taking it to its simplest form by dividing it by 3 would yield a mixed fraction of 1 3/5 which is the same as the distance that the horse was ridden on Thursday.

Another method is to convert them back into their original improper fractions.

Tuesday;                                                              Thursday

= 1 9/15                                                                 = 1 3/5

= (15 * 1 + 9) / 15                                                   = (5 * 1 + 3)/5

= 24/15                                                                 = 8/5

= 8/5

Notice how again they are the same at their simplest forms.

Answer:

b

Step-by-step explanation:

this equation can be derived from the question :

95,000 - 250x = 75,000

where x is the equal amount of shares purchased for each client

given the amount of shares that remains after the shares has been purchased, we can determine the amount of shares bought by dividing the difference between 95,000 and 75,000 by 250

the price of each share was not made reference to in the question, thus it is not an important variable

Answer:

MOM

Step-by-step explanation:

The solution to the equation are y = 26 - 13x and x = 2 - y/13

The equation is given as:

13x + y = 26

To do this, we solve for x and we solve for y

We have:

13x + y = 26

Subtract 13x from both sides

y = 26 - 13x

Also, we have:

13x + y = 26

Subtract y from both sides

13x = 26 - y

Divide through by 13

x = 2 - y/13

Hence, the solution to the equation are y = 26 - 13x and x = 2 - y/13

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