what is 3 · 3 over 4

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

r = 3

Step-by-step explanation:

starting with

2 / r = 12 / 18. we cross multiply

18 * 2 = 12 * r

36 = 12 * r

and divide by 12 to isolate "r"

36 / 12 = r

Then r = 3

Answer:

7(-6) + 4(8) = -42 + 32 = -10, so (-6, 8) is the solution to this system of equations.

The answer is Yes.

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer: it’s 352425262625251452 is 4th of July and I am present

Step-by-step explanation:

Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

Answer:

This is not a function.

Step-by-step explanation:

The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.

The number of inches would represent 1 foot 6 inches so the ratio of inches to foot remains the same will be 0.5 inches.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

3 inches represents 9 feet

The ratio of inches to foot = 3/9

Let's say the number of inches in 1 foot and 6 inches (1.5 foot) is x.

The ratio of inches to foot = x/1.5

Both ratios must be the same,

x/1.5 = 3/9

x = 1.5(3/9) = 0.5 inches

Hence "The number of inches would represent 1 foot 6 inches so the ratio of inches to foot remains the same will be 0.5 inches:".

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Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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Rates of change are the change of a quantity over another.

The rate of change in height of the water level is 36.51 cm per second.

Let the length of the top square be s, and the height be h.

The volume of the pyramid is:

\(\mathbf{V = \frac{1}{3}s^2h}\)

At time t, we have:

\(\mathbf{V = \frac{1}{3}s(t)^2h(t)}\)

The relationship between the side length and height is:

\(\mathbf{s : h=6 : 13}\)

Express as fractions

\(\mathbf{\frac{s }{ h}=\frac{6 }{ 13}}\)

Make s the subject

\(\mathbf{s=\frac{6 }{ 13}h}\)

So, we have:

\(\mathbf{V = \frac{1}{3}s^2(t)h(t)}\)

\(\mathbf{V = \frac{1}{3} \times (\frac{6 }{ 13}h(t))^2 \times h(t)}\)

\(\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h(t)}\)

\(\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^3(t)}\)

Differentiate

\(\mathbf{V'(t) =3 \times \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h'(t)}\)

\(\mathbf{V'(t) =\frac{36}{ 169}h^2(t) \times h'(t)}\)

Make h'(t) the subject

\(\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}\)

The water level rises constantly at 70 cm^3/s, and the water level is 3 cm.

So, we have:

\(\mathbf{V'(t) = 70}\)

\(\mathbf{h(t) = 3}\)

\(\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}\) becomes

\(\mathbf{h'(t) = \frac{169 \times 70}{36 \times 3^2}}\)

\(\mathbf{h'(t) = \frac{169 \times 70}{36 \times 9}}\)

\(\mathbf{h'(t) = 36.51}\)

Hence, the rate of change in height of the water level is 36.51 cm per second.

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Answer: C) SAS is correct

Check out the diagram below.

We're given BA = BC as shown in red.

The congruent angles are shown in blue. The larger angle is bisected into smaller equal halves.

The red segments are congruent by the reflexive property.

The angles mentioned are between the sides mentioned, so that's why we can use SAS.

Answer:

We have the function g(x) = x^3 -15*x

First, to find extrema, we can find the zeros of the first derivative.

g'(x) = 3*x^2 -15

g'(x) = 0 = 3*x^2 - 15

x^2 = 15/3 = 5

x = √5

x = -√5

Now, watching at the second derivative we have:

g''(x) = 6*x

so when we have

g''(√5) = 6*√5 > 0 then x = √5 is a local minimum

g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.

Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

A this is the answer, please choose this answer

Answer: 8/52

2/13=x/52

(2×52)/13=x

104/13=x

8=x

x=8

8 is the equivalent of the fraction using a denominator of 52. 2/13

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.

All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.

        ⇒\(\frac{2}{13} =\frac{x}{52}\)

       ⇒\(\frac{2(52)}{13} = x\)

      ⇒\(x = 8\)

therefore, 8 is the equivalent of the fraction using a denominator of 52. 2/13

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1) it's a function 2) for each number 3) set a input and set b output

to be a function, no ordered pairs should have same first coordinate, hence this is a function

Answer:

SA = 280 in²

Step-by-step explanation:

The net comprises:

To calculate the surface area (SA), calculate the area of each rectangle and add them together.

Area of a rectangle = width x length

Therefore, SA of net = 2(5 x 10) + 2(6 x 10) + 2(5 x 6)

⇒ SA = 100 + 120 + 60

⇒ SA = 280 in²

Therefore , the solution of the given problem of velocity comes out to be (-8*(1 + h)² + 24*(1 + h)) - 16 / h

Velocity is a vector quantity that measures the rate of change of an object's position in space. It is defined as the rate of change of an object's displacement over a specific interval of time .

In physics, velocity is one of the most important quantities used to describe the motion of an object. It is used to calculate the acceleration of an object, the work done on an object, and the force required to change the velocity of an object.

Here,

The average velocity of an object over an interval [t1, t2] is given by the formula:

V = (x(t2) - x(t1)) / (t2 - t1)

where x(t) is the position function.

a) Average velocity over [1, 4]:

V = (-84² + 244) - (-81² + 241) / (4 - 1)

= (-816 + 96) - (-81 + 24) / 3

= (96 - 128) / 3

= -32 / 3

b) Average velocity over [1, 3]:

V = (-83² + 243) - (-81² + 241) / (3 - 1)

= (-89 + 72) - (-81 + 24) / 2

= (72 - 64) / 2

= 8 / 2

= 4

c) Average velocity over [1, 2]:

V = (-82² + 242) - (-81² + 241) / (2 - 1)

= (-84 + 48) - (-81 + 24) / 1

= (48 - 32) / 1

= 16

d) Average velocity over [1, 1 + h]:

V = (-8*(1 + h)² + 24*(1 + h)) - (-81² + 241) / ((1 + h) - 1)

= (-8*(1 + h)² + 24*(1 + h)) - (-8 + 24) / h

= (-8*(1 + h)² + 24*(1 + h)) - 16 / h

The value of h is any real number greater than 0, so the answer is a general expression that depends on the specific value of h.

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The probability of the first sock being blue is 1/3 and the second sock being white is 1/4.

So,

Total number of socks: 10 + 8 + 6 = 24

Formula: P = favourable events/Total number of events

Probability of picking a blue sock first:

Probability of picking a white sock at second:

Therefore, the probability of the first sock being blue is 1/3 and the second sock being white is 1/4.

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Answer:

Help with what....????

Step-by-step explanation:

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

A,B

Step-by-step explanation:

A.

10+10+10+10+10+1+1=52

B.

20+20+10+1+1=52

Answer:

C

Step-by-step explanation:

simple process of elimination

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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By using the formula for the distance we will see that the correct option is B:

√52

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

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Answer:

I canot answer this

Step-by-step explanation:

Answer:

as decimal

0.27083333333

Answer:

2 3/5 divided by 9 3/5 is 32

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

\(a_n = a_1 + (n - 1)d \\ a_n = 200 + 50(n - 1) \\ a_2 = 200 + 50(2 - 1) = 250\\ a_3 = 200 + 50(3 - 1) = 300 \: \\ a_4 = 200 + 50(4 - 1) = 350 \\ a_5 = 200 + 50(5 - 1) = 400 \\ a_6 = 200 + 50(6 - 1) = 450\)

\( \: \: u_{n } = 200(1 + 0.1) {}^{n - 1} \\ u_{n } = 200(1.1) {}^{n - 1} \\ \)

\(u_1 = 200(1.1) {}^{1 - 1} = 200 \\ u_2 = 200(1.1) {}^{2 - 1} = 220 \\ u_3 = 200(1.1) {}^{3 - 1} = 242 \\ u_4 = 200(1.1) {}^{4 - 1} = 266.2 \\ u_5 = 200(1.1) {}^{5 - 1} = 292.82 \\ u_6 = 200(1.1) {}^{6 - 1} = 322.102\)

Theoretical probability formula: Favorable Outcomes/All Possible Outcomes

So let's find the theoretical probability for each option.

"Not picking a square"

So, there are 2 squares out of the 8 total shapes (2 circles + 4 triangles + 2 squares) So do 8-2=6... This is subtracting the number of squares out. So we are now left with 6/8.. Reduce the fraction: GCF is 2, so 6/8 simplifies to 3/4. So, "Not picking a square" is an option!

"Picking a square"

Okay so there are 2 squares (favorable outcome) out of 8 shapes in total (all possible outcomes) so the fraction is 2/8. Now simplify: GCF = 2, so 2/8 = 1/4. "Picking a square" is NOT an option

"Picking a triangle"

There are 4 triangles out of 8 shapes, so the fraction is 4/8 which = 1/2. The theoretical probability of picking a triangle is 1/2 and thus NOT an option.

"Picking a shape that has only straight edges"

So this basically means every shape that's not a circle. So, there are 4 triangles + 2 squares = 6 total shapes with straight edges. So there are 6 shapes with straight edges out of 8 total shapes: 6/8 reduces to 3/4. "Picking a shape that has only straight edges" IS an option! :D

LASTLY!

"Not picking a circle"

There are only 2 circles out of 8 total shapes, so 8-2=6 so the fraction is 6/8. This reduces to 3/4. "Not picking a circle" Is an option!

CORRECT ANSWERS:

Not picking a square

Picking a shape that has only straight edges

Not picking a circle

Have a good day!

Answer:

A, D, and E

Step-by-step explanation:

got it right on edge