what is the length and width of a 480ft fence enclosed in a rectangular area

Given

Four friends are playing a game.

36 cards are dealt out between the friends.

To find: Which equation can be used to find how many cards each person receives.

Explanation:

It is given that,

Four friends are playing a game.

36 cards are dealt out between the friends.

Let x be the number of cards received by each person.

Then,

Hence, each person receives 9 cards.

Thus,

Answer: 732 mi

Step-by-step explanation:

Assuming you meant 24.4

Answer:

range: 8

Step-by-step explanation:

In order to find the range you need the minimum and maximum

minimum: 17

maximum: 25

Subtract

25-17=8

\(\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x-20+2x>6\)

\(\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x+2x=6+20=26\)

\(\\ \bull\tt\dashrightarrow \dfrac{-3+16}{8}x=26\)

\(\\ \bull\tt\dashrightarrow \dfrac{13}{8}x=26\)

\(\\ \bull\tt\dashrightarrow x=26\times \dfrac{8}{13}\)

\(\\ \bull\tt\dashrightarrow x=8(2)=16\)

#27

\(\\ \bull\tt\dashrightarrow 0.5x-4-2x\leqslant 2\)

\(\\ \bull\tt\dashrightarrow 0.5x-2x\leqslant=2+4=6\)

\(\\ \bull\tt\dashrightarrow -1.5x\leqslant 6\)

\(\\ \bull\tt\dashrightarrow x\leqslant\dfrac{6}{-1.5}\)

\(\\ \bull\tt\dashrightarrow x\leqslant 4\)

Answer:

a) e^x (3 - e^x)^4 dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

e^x (3 - e^x)^4 dx = (e^x)^5 (3 - e^x)^4 / 5 + c

= (e^5x - 4e^4x + 6e^3x - 4e^2x + e^x) / 5 + c

b) 3e^2x √(1 + e²x) dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

3e^2x √(1 + e²x) dx = (3e^2x)^2 * (1 + e²x)^(3/2) / 2 + c

= (9e^4x + 3e^2x) / 2 + c

c) 3e^-2x / (1 + e^-2x)^3 dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

3e^-2x / (1 + e^-2x)^3 dx = -(3e^-2x)^2 / (1 + e^-2x)^2 + c

= -(9e^-4x) / (e^-4x + 2e^-2x + 1) + c

d) 4 cos 2x sin³ 2x dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

4 cos 2x sin³ 2x dx = -4 cos 2x (sin 2x)^4 / 4 + c

= -(cos 2x) (1 - cos 4x)^2 / 2 + c

e) sec² 3x tan³ 3x dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

sec² 3x tan³ 3x dx = -sec² 3x (tan 3x)^4 / 4 + c

= -sec² 3x (sec² 3x - 1)^2 / 4 + c

f) 2+tan ² x / cos² x dx

Using the formula [ f'(x)[f(x)"]dx =[ [f(x)]^n+1 / n+1] + c, where n = 1,

we have:

2+tan ² x / cos² x dx = ln|sec x| + c

It's worth noting that all these integrals are indefinite, which means that the constant c is arbitrary, and the actual antiderivative depends on the problem context.

Step-by-step explanation:

Answer:

$3,695.83 bi-weekly

Step-by-step explanation:

Step-by-step explanation:

hope it's right :)

Answer: b

Step-by-step explanation: a right triangle should have a right angle so you´d need atleast one right angle and two acute angles.

Step-by-step explanation:

Find Object Volume Rotation

Suppose That \( R \) Is The Finite Region Bounded By \( Y=X, Y=X+1, X=0 \), And \( X=3 \). find the exact value of the volume of the object we obtain when rotating about the -axis.

The region R is a triangular region defined by the lines y = x, y = x + 1, x = 0, and x = 3. To find the volume of the object obtained by rotating this region about the x-axis, we can use the method of cylindrical shells.

The height of the cylindrical shell is given by the difference between y = x and y = x + 1, or 1 unit. The radius of the cylindrical shell is given by x. Therefore, the volume of the object is given by:

\begin{align*}

V &= \int_{x=0}^{x=3} \pi x^2 \cdot 1, dx \

&= \pi \int_{x=0}^{x=3} x^2, dx \

&= \pi \left[ \frac{x^3}{3} \right]_{x=0}^{x=3} \

&= \pi \left( \frac{27}{3} - \frac{0}{3} \right) \

&= 9\pi

\end{align*}

So the volume of the object is equal to 9π cubic units.

The first mistake Robbie made was, take improper lengths. AB is the diameter; its length is longer than the sides AX and XB. So, the triangle formed will not be an equilateral triangle.

An equilateral triangle in geometry is a triangle with equally long sides. The three angles opposing the three equal sides are equal in size because the three sides are equal.

The first mistake Robbie made was, take improper lengths. AB is the diameter; its length is longer than the sides AX and XB. So, the triangle formed will not be an equilateral triangle.

He should have, after drawing the diameter AB, construct a circle with point A as the center and AO as the radius. Mark the point of intersection as X. Then, AO, AX and OX would form an equilateral triangle.

Learn more about equilateral triangle here:

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Answer:

1. constructing the perpendicular bisector of AB

2.

Step-by-step explanation:

f(x) = 1/3x -1

I am not sure if it is right but I am 90% sure

Answer: f(x)=1/3x-1

Step-by-step explanation:

attached is full test answers

hope this can help someone

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer:

The place value of 4 in 265 473 is 40,000

Answer:

Step-by-step explanation:

Order:

3 is in the ones place and has a value of 3

7 is in the tens place and has a value of 70

4 is in the hundreds place and has a value of 400

5 is in the thousands place and has a value of 5000

6 is in the ten thousands place and has a value of 60,000

2 is in the hundred thousands place and has a value of 200,000

Answer:

B. making an inference.

Step-by-step explanation:

The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.

Answer:

find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6

Answer:The equivalent expression of the given terms is 13p

Answer:

36

Step-by-step explanation:

Answer:

b the solution is (3,5)

Step-by-step explanation:

look at the points where the lines intersect

Answer:

Based on the table, the relationship between the number of hours Gwen worked and the number of tickets she sold is

t=15h

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

For more such question on brand. visit :

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Answer:

56

Step-by-step explanation:

Answer: 56

Step-by-step explanation:

First, you can set up the problem algebraically like this:

\(\frac{x}{8}+9=16\)

Then, subtract 9 from both sides:

\(\frac{x}{8}+9=16\)

     -9    -9

\(\frac{x}{8}=7\)

Finally, multiply both sides by 8 and you get:

\(\frac{x}{8}=7\)

×8 ×8

\(x=56\)

Therefore, the missing number is 56.

I hope this helps!

Answer:

\({ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} \)

Answer:

f(22) = 1.12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3sinx°

f(22) is x = 22

Step 2: Evaluate

Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

a)

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

x = 0

y = 6*0 - 3 = -3

Then we have the point (0, -3)

x = 1

y = 6*1 - 3 = 3

Then we have the point (1, 3)

The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

Replacing these two in the equation we get:

8 = (-3/5)*-10 + b

8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

y = (-3/5)*X + 2

The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

Answer:

to the nearest whole number, we get:

dd/dt ≈ 490 miles per hour

Step-by-step explanation:

Let's call the distance between the plane and the radar station "d". We want to find the rate at which this distance is increasing when the total distance between the plane and the station is 5 miles.

We can use the Pythagorean theorem to relate the distance d to the altitude h of the plane:

d^2 = h^2 + x^2

where x is the horizontal distance the plane has traveled from directly above the station.

Taking the derivative of both sides with respect to time t, we get:

2d * dd/dt = 2h * dh/dt + 2x * dx/dt

where dd/dt is the rate at which the distance between the plane and the station is changing, and dh/dt and dx/dt are the rates at which the altitude and horizontal distance are changing, respectively.

At the moment when the plane is 5 miles away from the station, we have:

d = 5 miles

h = 1 mile (since the plane is flying at an altitude of 1 mile)

dx/dt = 480 mi/h (since the plane is flying horizontally at a speed of 480 mi/h)

We want to find dd/dt, the rate at which the distance between the plane and the station is increasing. We can solve for dd/dt by plugging in the given values and solving for it:

2d * dd/dt = 2h * dh/dt + 2x * dx/dt

2(5 miles) * dd/dt = 2(1 mile) * 0 + 2x * (480 mi/h)

10 * dd/dt = 960 * x

We still need to find x, the horizontal distance traveled by the plane when it is 5 miles away from the station. We can use the Pythagorean theorem again:

d^2 = h^2 + x^2

(5 miles)^2 = (1 mile)^2 + x^2

x^2 = (5 miles)^2 - (1 mile)^2

x = √(24 miles^2)

x = 4.899 miles (rounded to three decimal places)

Now we can plug in the value of x and solve for dd/dt:

10 * dd/dt = 960 * x

10 * dd/dt = 960 * 4.899

dd/dt = 489.9 (rounded = 490)

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is \(s = 12 \ gallons\)

Step-by-step explanation:

From the question we are told that

  The  number of milk drinkers considered is  \(m = 100\)

   The  number of skim milk drinkers \(n = 50\)

     The  gallons of milk supplied is  q =  23 gallons

Generally the proportion of skim milk drinkers is mathematically represented as

    \(p = \frac{n}{m}\)

    \(p = 0.5\)

Generally the gallons of milk order that is skim milk is mathematically represented as

       \(s = 0.5 * 23\)

=>     \(s = 12 \ gallons\)

Answer:

x = 9

Step-by-step explanation:

Answer:

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

\( = \frac{ - 5 - 4}{9 - 9} \)

\( = \infty \)