Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, which will be 2 ft by 5 ft. On Erin’s scale drawing, the entire garden is 12 in. by 6 in. What are the dimensions of the herb garden on the scale drawing?

(GIVING BRAINLIEST) if you solve it

Answer:A- direct variation function

Step-by-step explanation:

h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.

So,  h(x) = [x] + 4 is in direct variation.

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Answer:

i believe the answer is 3^2(-2)^6/ 5^4

Step-by-step explanation:

Answer:

\( \frac{5}{8} = \frac{22}{x - 6} \\ x≠6 \\ 5(x - 6) = 176 \\ 5x -30 = 176\)

Okay, here we have this:

Considering the provided triangle which is a right triangle, we are going to use the pythagorean theorem to find the measure of the missing side, so we obtain the following:

Finally we obtain that the correct answer is the first option.

One way to solve 2(a - 1.1) = 5.8 is to divide both sides by 2 and then add 1.1 on both sides to find a =  4.

To solve 5/2b - \(2\frac{3}{4}\) = \(7\frac{1}{4}\) add  \(2\frac{3}{4}\) on both sides, then divide both sides by 2/5 to find b =4.

In the equation, a and b are 4 of the same value.

What is an equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given equation is

2(a - 1.1) = 5.8

Divide both sides by 2:

[2(a - 1.1)]/2 = 5.8/2

(a - 1.1) =2.9

Add 1.1 on both sides:

a = 2.9 + 1.1

a = 4

The second equation is:

5/2b - \(2\frac{3}{4}\) = \(7\frac{1}{4}\)

add  \(2\frac{3}{4}\) on both sides:

5/2b = \(7\frac{1}{4}\)  +  \(2\frac{3}{4}\)

5/2b = 10

Divide both sides by 2/5

b = 10 × (2/5)

b = 4

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Triangle A is right angled triangle

Triangle B is right angled triangle

Triangle C is obtuse angled triangle

Triangle D is acute angled triangle

In right angled triangle one of the three angles in the triangle is 90 degrees

In acute angled triangle all the angels in the triangle is less than 90 degrees

In obtuse angled triangle one of the three angles in the triangle is greater than 90 degrees

In triangle A one of the angle is 90 degrees, then the triangles is right angled triangle

In triangle B one of the angle is 90 degrees, then the triangles is right angled triangle

In triangle C one of the angle is greater than 90 degrees, then the triangle is obtuse angled triangle

In triangle D all the angles are less than 90 degrees, then the triangle is acute angled triangle

Hence, Triangle A is right angled triangle

Triangle B is right angled triangle

Triangle C is obtuse angled triangle

Triangle D is acute angled triangle

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B) ∅ (empty set); The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

To find the composition T ∘ S, we need to determine the set of ordered pairs that satisfy both relations S and T. Let's analyze the definitions of S and T:

S = {(x, y) ∣ x < y}

T = {(x, y) ∣ x > y}

To find T ∘ S, we need to check if there exists an element z such that (x, z) is in T and (z, y) is in S for any (x, y) in the given relations. However, if we observe the definitions of S and T, we can see that there is no common element that satisfies both relations.

For any (x, y) in S, we have x < y, but in T, the relation is defined as x > y. Therefore, there are no elements that satisfy both conditions simultaneously.

As a result, T ∘ S will be an empty set (∅) because there are no ordered pairs that satisfy the composition of the two relations.

The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

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Answer:

u= 7.75

Step-by-step explanation:

31/2 - u = 31/4

u= 31/2- 31/4

u =7.75

Answer:

Step-by-step explanation:

B

If a four digit personal identification number is selected, then the probability that there are no repeated digits is 0.504

Number of digits in the identification number = 4

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9

There are 10 digits

The probability = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = 10 × 10 × 10 × 10

= 10000

Number of outcomes that digits wont repeat = 10 × 9 × 8 × 7

= 5040

Substitute the values in the equation of probability

The probability = 5040 / 10000

= 0.504

Therefore, the probability there are no repeated digits is 0.504

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Answer:

cylinder is in form of cylinder

By using the concept of Probability, 0.771 is the probability by which worker 1 will outproduce worker 2

Let Xi be the random variable representing the number of units the first worker produces in day i.

Define X = X₁+ X₂ + X₃ + X₄ + X₅ as the random variable representing the number of units the first worker produces during the entire week.

We know that Mean =(Sum of all quantities)/(Number of quantities)

Mean=75 and number of quantities =5(given)

Therefore, from the formula

=>Sum of all quantities=75×5

or We can Say that X₁+ X₂ + X₃ + X₄ + X₅=375--------------------------------(eq1)

Now, talking about the standard deviation of first worker

We know that standard deviation = \(\frac{\sqrt{(Each quantity - Mean)^{2} } }{\sqrt{Total Number of quantities} }\)

We are given standard deviation of first worker as 20,

Therefore 20×\(\sqrt{Total Number of quantities}\) = \(\sqrt{(Eachquantity -Mean)^{2} }\)

20√5 = √[(X₁ - Mean)²+(X₂ - Mean)²+(X₃ - Mean)²+(X₄ - Mean)²+(X₅ - Mean)²]-(eq2)

Therefore, from eq1 and eq2,

we get Mean(µx) =375 and standard deviation(σ\(x\)) =20√5

Similarly, define random variables Y₁, Y₂, . . . , Y₅ representing the number of units produces by the second worker during each of the five days and define Y = Y₁ + Y₂ + Y₃ + Y₄ + Y₅.

From the Mean formula,

we get  Y₁ + Y₂ + Y₃ + Y₄ + Y₅=(65×5)--------------------------------(eq3)

Standard deviation of second worker = 21(given),

So using the standard deviation formula, we get

Therefore 21×\(\sqrt{Total Number of quantities}\)=\(\sqrt{(Eachquantity -Mean)^{2} }\)

21√5=√[(Y₁ - Mean)²+(Y₂ - Mean)²+(Y₃ - Mean)²+(Y₄ - Mean)²+(Y₅ - Mean)²]-(eq4)

Therefore, from eq3 and eq4,

we get Mean(µy) =325 and standard deviation(σy) =21√5

Of course, we assume that X and Y are independent. The problem asks for P(X > Y ) or in other words for P(X − Y > 0).

It is a quite surprising fact that the random variable U = X −Y , the difference between X and Y ,is also normally distributed with mean µU = µx−µy = 375−325 = 50 and standard deviation σu ,where σ\(u^{2}\) = σ\(x^{2}\)+σ\(y^{2}\) =400·5+441·5 = 841·5 = 4205

It follows that  σu=√4205.

Now probability of first worker(P₁)=375/√4205

probability of second worker(P₂) =325/√4205

We can clearly see P₁>P₂

Difference in Probability of both workers(P)=P₁-P₂

=>P=[(375/√4205)-(325/√4205)]

=>P=50/√4205

=>P=50/64.84

=>P=0.771

Hence, probability by which worker 1 will outproduce worker 2 is 0.771.

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The supporters of the program complain that it is being cut because the increase in spending is not enough to keep up with inflation.

The opponents of the program complain that it is being increased because any additional funding is seen as unnecessary or undeserved.

The supporters of the housing program complain that the program is being cut because they believe that the increase in spending is not enough to keep up with the expected 3% rise in the consumer price index.

They argue that if the spending does not increase at the same rate as the inflation, the program will actually have less purchasing power and be less effective in addressing housing needs.

On the other hand, the opponents of the housing program complain that the program is being increased. They argue that any increase in spending, even if it is not keeping up with the expected rise in the consumer price index, is still an increase compared to the current budget.

They believe that the program should not receive any additional funding or even that the funding should be reduced.

So, to summarize, the supporters of the program complain that it is being cut because the increase in spending is not enough to keep up with inflation.

The opponents of the program complain that it is being increased because any additional funding is seen as unnecessary or undeserved.

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Answer:

-16

Step-by-step explanation:

Use pemdas:

1. -5 times 4 is -20

2.  -40 divided by -10 is 4

3. -20 plus 4 is -16

hahaha yeah I know you me doing and that you have

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

254.34

Step-by-step explanation:

254.34 is the answer

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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To compute the gradient of the function f(x, y) = -10x^2 - 8y at the given point (-8, 6), follow these steps:

1. Find the partial derivatives of f with respect to x and y.
2. Evaluate the partial derivatives at the given point.
3. Combine the partial derivatives into a gradient vector.

Step 1: Find the partial derivatives.
∂f/∂x = -20x
∂f/∂y = -8

Step 2: Evaluate the partial derivatives at the given point (-8, 6).
∂f/∂x at (-8, 6) = -20(-8) = 160
∂f/∂y at (-8, 6) = -8

Step 3: Combine the partial derivatives into a gradient vector.
Gradient = (∂f/∂x, ∂f/∂y) = (160, -8)

So, the gradient of the function f(x, y) = -10x^2 - 8y at the given point (-8, 6) is (160, -8).

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Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!

Answer:

the ratio of black mice*

Step-by-step explanation:

Answer:

hug Hi

Step-by-step explanation:

HHhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

In radian :

\(\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}\)

In degree :

45° and 225°

Step-by-step explanation:

the x and y coordinate on the unit circle exactly the same at the angles :

In radian :

\(\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}\)

In degree :

45° and 225°

At those angles :

\(\left( x,y\right) =\left( \frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2} \right) \ or\ \left( x,y\right) =\left( -\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} \right)\)

The height of the pole is approximately 64 feet when rounded to the nearest tenth.

To determine the height of the pole, we can use the concept of a right triangle formed by the pole and the two cables. Let's denote the height of the pole as 'h'.

In the given scenario, one cable is 48 feet long and the other is 63 feet long. The ground distance between them is 80 feet. We can visualize this as follows:

      A

     /|

    / |

 h /  | 63

  /   |

 /    |

/     |

/______C

  48    B

Here, A represents the top of the pole, B represents the point where the 48-foot cable touches the ground, and C represents the point where the 63-foot cable touches the ground.

Using the Pythagorean theorem, we can establish the following relationship:

\(AB^2 + BC^2 = AC^2\)

Substituting the given values, we get:

\(h^2 + 48^2 = 80^2\\h^2 + 2304 = 6400\\h^2 = 6400 - 2304\\h^2 = 4096\)

Taking the square root of both sides, we find:

h =\(\sqrt{4096}\)

h ≈ 64

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Explanation:

The x intercepts here are -1, 2 and 3. This is where the graph crosses the x axis. We can determine these three values by solving f(x) = 0.

In other words, set (x-3)(x-2)(x+1) equal to zero and solve for x.

(x-3)(x-2)(x+1) = 0

x-3 = 0 or x-2 = 0 or x+1 = 0

x = 3 or x = 2 or x = -1

x = -1 or x = 2 or x = 3

When we expand out (x-3)(x-2)(x+1), there will only be one x^3 term and the coefficient for this term is positive 1. The positive leading coefficient indicates that the graph goes up forever as we move to the right. In other words, the graph grows forever after passing that dip between x = 2 and x = 3.

Another way you could phrase it is that "as x goes to infinity, y also goes to infinity". An informal way is to say "the graph rises to the right" to describe the end behavior.