at noon, shadow of a flagpole is 19 feet long. At same time, shadow is a 12 foot high wall is 4 feet long. what is the height of the flagpole?

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. ... For example, -5 is an integer but not a whole number or a natural number.

Step-by-step explanation:

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}\)

Answer: f(x)+3

Step-by-step explanation:

g is 3 units ABOVE f. Therefore, f(x)+3 is the only answer, since f(x+3) would only shift the graph to the left, f(x-3) would shift the graph to the right, and f(x)-3 would translate the graph 3 units DOWN, not up. So, the correct answer is f(x) + 3

Answer:

1 = B, 2 = B, 3 = C

Step-by-step explanation:

1) When there are same digits with exponents being multiplied, you add the exponents

2) When an exponent is being distributed through a parenthesis, you multiply

3) When there are same digits with exponents being divided, you subtract the exponents

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

f=21-16, 5

Step-by-step explanation:

Just subtract 16 from both sides to get 5  as the solution

Answer:

ADDITION

16+f=x

Step 1: Add -16 to both sides.

f+16+−16=x+−16

f=x−16

Answer:

f=x−16

Step-by-step explanation:

SUBTRACTION

16−f=x

Step 1: Add -16 to both sides.

−f+16+−16=x+−16

−f=x−16

Step 2: Divide both sides by -1.

−f /−1 = x−16 /−1

f=−x+16

Answer:

f=−x+16

Answer:  27  

PI × R² Is the formula as you posted.

And if you're asking for it as it's square root than it's 5.2

Answer:

27

Step-by-step explanation:

A = πr²

A = 3 × (3 ft)²

A = 3 × 9 ft²

A = 27 ft²

Answer: 27

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer: 3 1/4 + 7

Step-by-step explanation:

1/2 = 2/4 + 3/4 = 5/4/ 1 1/4 + 2 = 3 1/4 + 7

Answer:

2 is x>3

3 is x ≤ −9/4

4 is x<25

that all i could do but if you need more help go to mathwey

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

Independent

Step-by-step explanation:

Answer: A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.

In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ

where, μ--> population mean,

σ --> population standard deviation and

x --> the raw-score.

Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.

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Answer: I know C it’s one answer

Step-by-step explanation:

Answer:

sqrt(r^2/ Gt) =d

Step-by-step explanation:

r^2/d^2 = Gt

Multiply each side by d^2

r^2/d^2  * d^2  = Gt * d^2

r^2 = Gt d^2

Divide each side by Gt

r^2/ Gt = Gt d^2 / Gt

r^2/ Gt =  d^2

Take the square root of each side

sqrt(r^2/ Gt) = sqrt( d^2 )

sqrt(r^2/ Gt) =d

K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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Answer:

10.95

Step-by-step explanation:

The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)

Answer:

The restaurant owner can infer that most customers like pie  

Step-by-step explanation:

Answer: The owner can infer that "Pie" is what customers like the most.

Step-by-step explanation:

#9. C

A negative sign on the outside of the function indicates a reflection in the y-axis.

A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.

Hope this helps!

Yes, Lila and Wassim saved the extra money of £16.

For the given data in question;

Charge/person for Camping Site : £5 per night

Charges for Camping Site Tent = £15 per night for Tent pitch > 10m²

calculate the tent pitch;

Tent Pitch = 2.5 × 4.2 = 10.5 > 10

Total charges for tent = £15 per night

As, 2 Lila and Wassim sharing Tent

Total charges per night = Charge/person + Charges for Camping Tent

= 2× £5 + £15

= £25 per night

For every 5 nights of the stay, pay is 4.

Cost for 10 nights for two persons.

Lila and Wassim have to pay the cost  for 8 Nights;

Total charges = £25 × 8  = £200

Lila and Wassim each plan to save £12 per week  for 9 weeks.

Thus, the total Saving = 2 ×  9 ×  12 = £216

total Saving =  216 > 200

As, total savings of Lila and Wassim are £216 which are greater than the £200 cost of camping.

The extra money saved is;

= £260 - £200

= £16.

Therefore,  Yes, Lila and Wassim will save sifficient money to cover all camping charges with extra saved money of £16.

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Answer:

The probability the 1st player does not get a blue chracter is 9/14.

Step-by-step explanation:

So there is a total of 14 characters.

9 of them are not blue

9/14 = .642857 (~64%, not the answer since it's not asking for percents)

The probability the 1st player does not get a blue chracter is 9/14.

Answer:

f(g(x)) = 2x + 3

Step-by-step explanation:

f(g(x)) is called a composite function

To compute f(g(x)) simply substitute whatever g(x) definition is wherever there is an x in f(x)

We have \(g(x) = 6x + 9\)

\(f(x) = \dfrac{x}{ 3}\)

So instead of x just use 6x + 9 to get

\(f(g(x)) = \dfrac{6x+9}{3} = 2x + 3\)

Answer:

y = - 2x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (7, 2) and (x₂, y₂ ) = (2, 12)

m = \(\frac{12-2}{2-7}\) = \(\frac{10}{-5}\) = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 12 )

12 = - 4 + c ⇒ c = 12 + 4 = 16

y = - 2x + 16 ← equation of line

Answer:

So, basically AB goes through (bisects) CAD, which CAD is the kite-like shape you see. So line AB goes through line CAD. Now what they what you to do is prove if lines AB and lines AC are equal.

Answer:

Step-by-step explanation:

If you put all the numbers on the number line it would be, -4/3, -4/5, -2/3, 7/10, 7/10, so the correct answer is letter A.

Answer: Yes this is a fair game

Step-by-step explanation:

He does not pay anything (I assume) just to play the game. So even if he just rolls a 2 then he receives 2 dollars because he payed nothing. And he has a 50/50 chance of rolling odd vs even numbers so yes, this is a fair game.

The correct option, for the sum of the series is

d. its sum is 1/10

To find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:

Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10))  * 1(n + 9)

Now, let's evaluate the terms of the series:

When n = 0:

Term 1: 1 / (0+9) = 1/9

Term 2: 1 / (0+10) = 1/10

Term 3:  1(0 + 9) = 9

Therefore, the sum of the series when n = 0 is:

(1/9 - 1/10) * 9 = 1/90 * 9

So, the sum of the series when n = 0 is 1/10.

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