If y is inversely proportional to x and y=−54 when x=38, find y if x=30. (Round off your answer to the nearest hundredth.)

Based on the diagram, the true statement is "If a student is an honor student, then he/she may also be a band member."

It shows the intersection between two groups:

This intersection implies some band members are honor students and vice versa. However, not all band members are honor students and not all honor students are band members.

A correct conclusion is that an honor student may also belong to the band.

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Answer:

Your answer is 71

Step-by-step explanation:

7+2(n-1)

we have our n as 8

so,7+2(8-1)

9(7)=63

Answer:

y = -3 and y = -3

or y = -3 with a multiplicity of 2

Step-by-step explanation:

[tex](y+4)^2-2(y+4)+1[/tex]

If you want to factor this, heres what you do:

[tex](y+4)(y+4)-2(y+4)+1[/tex]

[tex]y^2+8y+16-2y-8+1[/tex]

[tex]y^2+6y+9[/tex]

Then factor:

[tex](y+3)(y+3)[/tex]

[tex](y+3)^2[/tex]

The value of y:

y + 3 = 0 and y + 3 = 0

y = -3 and y = -3

or y = -3 with a multiplicity of 2

The solution of the given function are; y = -3 and y = -3 or y = -3 with a multiplicity of 2.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given function is;

[tex](y + 4)^2 -2(y + 4) + 1[/tex]

To solve;

[tex](y + 4)(y + 4) -2(y + 4) + 1\\\\y^{2} + 8y + 16 - 2y -8 + 1\\\\y^{2} + 6y + 9 \\[/tex]

Then the factor are;

(y + 3)(y + 3)

The value of y:

y + 3 = 0 and y + 3 = 0

y = -3 and y = -3

or y = -3 with a multiplicity of 2

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Using it's concept, it is found that the slope of the function is of -4.

The slope of a function is given by the change in the output of the function divided by the change in the input.

For this problem, in 9 months, his weight changed from 265 pounds to 229 pounds, hence it changed -36 pounds, which means that the slope is of:

m = -36/9 = -4.

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Answer:

C. 180°

Step-by-step explanation:

The degree measure of the arc of a full circle is 360°

A diameter divides a circle into two parts of equal size, so the degree measure of each part is half of the degree measure of a full circle.

360°/2 = 180°

Answer:

I think A

Step-by-step explanation:

Answer:

First option

Explanation:

The inverse of a graph is its reflection on the line y = x.

This means that it is the graph that you get by reflecting the original graph on a line with the equation y = x.

In the picture below, we can see a function (red graph), its inverse (blue graph) and the line (green) that the two graphs are reflected on.

From the picture below, we can see that the shapes of the graph of a function and its inverse is similar and correspond to the shape given as the first option in the question. Therefore, the first option is the answer.

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*[tex](1-0.06)^{n}[/tex]

20=1500*[tex]0.94^{n}[/tex]

20/1500=[tex]0.94^{n}[/tex]

0.133=[tex]0.94^{n}[/tex]

take log both sides

log(0.133)=log[tex]0.94^{n}[/tex]-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

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The graph of f(x) = 0.5sin(4x)  is sketched below

From the question, we are to sketch the graph of the given trigonometric function.

The given trigonometric function is

f(x) = 0.5sin(4x)

The graph of f(x) = 0.5sin(4x)  is sketched below

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3) Alternate interior angles theorem

4) Definition of congruent angles

Answer: b=13, t=29

Step-by-step explanation:

Substituting the first equation into the second,

[tex]2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29[/tex]

Answer:

Step-by-step explanation:

12x −3y=36  ⇔ 3y = 12x - 36

                          y = 4x - 12

y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3

So (0 ; - 12) and (3 ; 0)

Answer:

x-intercept=3,  y-intercept=-12

Step-by-step explanation:

at x-intercept y=0 such that:

12x-3(0)=36

12x=36

[tex]x=\frac{36}{12} =3[/tex]

additionally, at y-intercept x=0 such that

12(0)-3y=36

-3y=36

[tex]y= \frac{36}{-3}=-12[/tex]

Step-by-step explanation:

sol;

l=5w

area=l*w

or,45=5w*w

or,45=5w2

or,45\5=w2

0r[tex]\sqrt{9}[/tex]=w

or,3=w

again,

l=5w

l=5*3

l=15

Therefore, length is 15 inch and width is 3 inch.

Using a linear function, it is found that the product rs is rs = 81.

A linear function is modeled by:

y = mx + b

In which:

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

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Answer:

125

Step-by-step explanation:

N150=120%

? =100

150×100/120

=125

The cost price of the good is $125.

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service.

Given that a good has been sold for $150 which made a profit of 20% we need to find the cost price of the good,

Let the cost price be x,

So,

x × 120% = 150

x = 150 × 100 / 120

x = 125

Hence the cost price of the good is $125.

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The objective function of a linear programming model should be to maximize or minimize the numerical value.

The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.

The objective function is always stated as z = ax + by.

The numerical value may be the:

Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.

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The best way to help them understand Seriation is; A: Read the story of the Three Billy Goats Gruff and discuss the little, medium and great big billy goat gruff brothers.

We are told that;

Seriation is a series or a growing pattern. This means arranged by an attribute such as height, length, or weight.

Now, we want to find the option that is the best way to help children understand Seriation. Looking at the options, the best option would be option A. This is because by reading the story of the three Billy Goats Gruff, we can be able to arrange them by little, medium and great big billy goat gruff brothers.

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Using the Central Limit Theorem, nothing can be stated about the shape of the sampling distribution for the sample mean, as the sample size is less than 30.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have a skewed variable and n < 30, hence nothing can be stated about the shape of the sampling distribution for the sample mean.

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Answer:

what solution bc i could answer this pls let me know the equation but......

Step-by-step explanation:

to find a solution you can add divide or subtract to find the solution like x=2

The value of the function is 5

A function is defined as a relation between a set of inputs having one output each.

Given function:

f(x) = 5x − 6

Now f(2+h) - f(2) /h

= 5(2+h)-6 - 10+6/h

=10+ 5h -10/h

=5h/h

=5

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The area of a 2D form is the amount of space within its perimeter. It is measured in square units. The correct option is 9 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the different figures will be shown below.

Thus, the expression that shows that the two composite figures cover the same area is A = 4 + 3 + 2 = 9 units².

Hence, the correct option is 9 units².

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Answer:

the slope of the coordinates will be 0-0/4-1 then you will get the coordinates of the graph

Using translation concepts, the equation of the graph of f(x) is given as follows:

[tex]f(x) = \sqrt{x - 1}[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is a shift right of one unit of the square root function, hence x -> x - 1 and the equation is given by:

[tex]f(x) = \sqrt{x - 1}[/tex]

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Based on the task given, Pamela's age and juri's age is 16 and 23 years respectively.

x + (x - 7) = 39

x + x - 7 = 39

2x = 39 + 7

2x = 46

x = 46/2

x = 23

Therefore,

Juri's age = x

= 23 years

Pamela's age = x - 7

23 - 7

= 16 years

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Answer:

30

Step-by-step explanation:

We can determine the number of different sets of reports by determining how many possible options are available per subject and then multiplying them.

There are 5 total options for geography, 3 for English, 1 for sciences, and 2 for maths. Multiplying these gets us 30.

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Calculate total choices for individual then multiply

Total choices

Option C

The amount of the radioactive substance is 374.6 g

The given parameters are:

The amount of the radioactive substance is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 424 * (1 - 6%)^t

At 2 hours, we have:

A(2) = 424 * (1 - 6%)^2

Evaluate

A(2) = 374.6

Hence, the amount of the radioactive substance is 374.6 g

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Using it's concept, the domain and the range of the function are given as follows:

The function for this problem is:

[tex]y = \sqrt{4 - x}[/tex]

The square root is defined only for non-negative numbers, hence the domain is given as follows:

[tex]4 - x \geq 0 \rightarrow x \leq 4[/tex]

The outputs of the square root function are also non-negative numbers, hence the range is given as follows:

[tex]y \geq 0[/tex].

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The complete equation is x^2 - 4x + (-2) = (-2)^2

The equation is given as:

x^2 - 4x + __ = (__)^2

_____________________________

Take the coefficient of x

k = -4

Divide by 2

k/2 = -4/2

k/2 = -2

Square both sides

(k/2)^2 = (-2)^2

_____________________________

Add the result of the above computation to both sides of x^2 - 4x + __ = (__)^2

So, we have:

x^2 - 4x + (-2) = (-2)^2

Hence, the complete equation is x^2 - 4x + (-2) = (-2)^2

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