How is the area of a polygon defined?

Answer:

they were each far far away from each other

Step-by-step explanation:

Answer:

The exponential form of expression is 4⁵.

To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.

We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.

Given expression

4.4.4.4.4

Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.

number is in factors

4 x 4 x 4 x 4 x 4

a numerical term that has been increased to certain powers of its prime factors

= 4⁵

where 5 is exponent.

Hence the  exponential form is 4⁵.

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9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  [tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]

Explanation:

The probability of rolling a "2" is 1/6

The probability of rolling a "4" is also 1/6

Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.

The probability of rolling a 2 the first time and a 4 the second time is 1/36

There are 6 faces on a die.

Of these 6 faces, one of them is 2 and one of them is 4

So, the probabilities of rolling a 2 and a 4 are:

P(2) = 1/6

P(4) = 1/6

The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:

[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]

This gives

[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]

Multiply

[tex]\mathbf{Pr = \frac 1{36}}[/tex]

Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36

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Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

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Answer:

B. rate of water flow.

Step-by-step explanation:

Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.

Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.

Answer:

29

Step-by-step explanation:

2x - 14 = x + 15

2x - x = 15 + 14

x = 29

check

44 = 44

Answer:

pretty sure it's 29

Step-by-step explanation:

equation: 2x-14=x+15

how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.

I might be wrong tho.

Answer:

n = 1.42857

Step-by-step explanation:

if a2 is -140 then somewhere between is -100.  3/7 is equal to 0.42857142857 in which it is 3/7 from -70 to -140 in a number range of 1 to 2.  1.42857142857 is your best bet as your answer.

Answer:

$3700

Step-by-step explanation:

Given that:

Initial amount = $1400

Amount deposited per week = 50

Amount after 47 weeks =?

Using the Arithmetic Progression relation :

Tn = A + (n - 1)d

Weekly deposit = d = 50

A = initial / first deposit = 1400

n = number of deposits

T47 = 1400 + (47 - 1)50

T47 = 1400 + (46)*50

T47 = 1400 + 2300

T47 = 3700

Answer:

$3750

Step-by-step explanation:

T47 = 3750

Answer:

x = 35°

y = 55°

Step-by-step explanation:

60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)

2x = 180° - 110°

x = 70°/2 = 35°

2x + 2y = 180°( Sum of interior angles of a triangle is 180°)

2× 35° + 2y = 180°

70° + 2y = 180°

2y = 180° - 70°

y = 110°/2

y = 55°

Answer:

............the answer is 97

Answer:

Answer:

correct answer is d....

Answer:

d (22)^40 +(-7)^40 its very easy

Answer:

3000,

Step-by-step explanation:

5 or above round up, 4 and below keep it the same

Answer:

$21600

Step-by-step explanation:

Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:

Net income = Revenue - cost of goods sold - operating expenses - tax.

But Gross margin = gross profit = Revenue - cost of goods sold. Hence:

Net income = Gross margin - operating expenses - tax.

Substituting gives:

Net income = $50000 - $23000 - $5400

Net income = $21600

Answer:

Yes i think its -96,

if thats what your asking

Answer:

Step-by-step explanation:

0,1

The bulb should be placed at (1,0).

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

Suppose the equation of parabolic mirror is y² = 4ax.

The given data in the  is x = 1 and y = 2

So, the value is y² = 4ax

4 = 4 a (1)

a = 1

So  x = 1

and, the focus is at  (x, y) is (1,0).

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Answer:

(D)

Step-by-step explanation:

is the correct because is 1/2

Answer:

C. 1 1/2

Step-by-step explanation:

Answer:

30in²

Step-by-step explanation:

A=1/2(4)(5+10)

A=2x15

A=30in²

Answer:

Answer:

the RIGHT answer is y = 5 x 0.90^x

Step-by-step explanation:

ten percent has already been blown away, so you only include the percentage of what hasn't been blown away in the equation. (also i just did the assignment and got 100% so you can trust this).

Answer:

The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.

The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.

2 lengths + 2 Widths = 54. Now, it's just a plug and chug.

2(3 + 3W) + 2W = 54.

6 + 6W + 2W = 54

8W = 48

W=6

L = 3 + 3(6) = 21

To double check: 2(21) + 2(6) = 42 + 12 = 54

The Width is 6 meters, and the Length is 21 meters.

Answer:

2 rooms

Step-by-step explanation:

1/2 divided by 1/4 is 2

2 times 1 = 2

Answer - 2

The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

The given equation of a line in slope-intercept form is y = (2/3)x + 4.

Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.

If one line has a slope of 'm' the line perpendicular to it will have slope

(-1/m).

Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.

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Answer:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

Step-by-step explanation:

To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.

Answer:

Part A: The maximum of the graph is the highest point which is at (2.5, 2531.25). Since xx is the decrease in price and yy is the profit, the maximum of (2.5, 2531.25) means that the maximum profit is $2531.25 and occurs when the price of the t-shirts is decreased by $2.50.

Part B: The yy-intercept is when the graph intersects the yy-axis which occurs at about (0, 2500). The yy-intercept then means that the profit is $2500 if the price of the t-shirts does not decrease.

Part C: The solution of a graph is its xx-intercept(s). The graph crosses the xx-axis at (25,0) so this point is the solution. The solution means that the profit will be $0 if the price is decreased by $25.

Step-by-step explanation:

Answer:

[tex]\displaystyle y=2\sqrt{6}[/tex]

[tex]\displaystyle x=2\sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]

Solving for y:

[tex]y=4\sqrt{2}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\displaystyle y=2\sqrt{6}[/tex]

Now we use the sine ratio:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]

Solving for x:

[tex]x=4\sqrt{2}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}:[/tex]

[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]

Simplifying:

[tex]\displaystyle x=2\sqrt{2}[/tex]

The choices are not clear, but it seems like the correct answer is C.

[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]

[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]