What is the relation between the variables in the equation
a. varies inversely as y
b.xvaries directly as y
Please select the best answer from the choices provided
O
O
A
B
C
O
y
-7?
c. y varies directly as x¹
d. y varies inversely as ¹

Answer: Alternate exterior angles

Step-by-step explanation:

Answer:

this is for the first one

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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Answer:

y = -1/2x + 5

Step-by-step explanation:

Find slope:

change in y/change in x

(2-3)/(6-4)

-1/2 = m

Use point-slope form:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, let's use (4,3)

y - 3 = -1/2(x - 4)

Point-intercept form:

Expand y - 3 = -1/2(x - 4) to get point-slope form:

y = -1/2x + 5

Hope this helps!! :)

The area of the shape C is expressed as l₁w₁ + l₂w₂ + 1/2bh

First, we need to know that from the diagram shown, we have that shape C is made up of 2 rectangles and a triangle

Now, the formula for calculating the area of a rectangle is expressed as;

A = lw

Such that the parameters of the formula are;

Area of a triangle is expressed as;

Area = 1/2 bh

Such that the parameters are;

Now, substitute the formulas, we have;

Total area= l₁w₁ + l₂w₂ + 1/2bh

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Note that the dimensions of the shape was not given.

No, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

A smooth-drawn figure or line with a bend or turn is referred to as a curve.

A circle is an illustration of a curved shape.

The path, also known as the topological arc, is the name of the curve (or just arc).

If a curve is the continuous injective image of an interval or a circle, it is considered simple.

If a curve is determined by a continuous function, in other words.

So, it possible for the curve to have a horizontal tangent:

On the curve, horizontal tangents appear where:

x = -1 and y ≠ -1

y = 0 where the curve crosses the x-axis.

-1² + 2(-1) + 0⁴ + 4.0 ≠ 5

No, the point where the curve crosses the x-axis cannot have a horizontal tangent.

Therefore, no, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

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Complete question:

Consider the closed curve in the xy-plane given by : x²+2x+y⁴=4y = 5

Is it possible for this curve to have a horizontal tangent at points where it intersects the x-axis? explain your reasoning.

The integral of the function is A = tan ( 2x + π/4 ) - 1

Given data ,

Let the function be represented as F

Now , the value of F is

F = ∫₀ˣ 2 sec² ( 2t + π/4 ) dt

On simplifying the integral , we get

A = 2 ∫₀ˣ sec² ( 2t + π/4 ) dt

On applying u-substitution , we get

A = 2 ∫ ( π/4 ) to ( 2x+π/4) sec² ( u ) du

Now , A = 2 ( 1/2 ) [ tan u ] ( π/4 ) to ( 2x+π/4)

On further simplification , we get

A = tan ( 2x + π/4 ) - 1

Hence , the integral is A = tan ( 2x + π/4 ) - 1

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Answer:

A B and C

Step-by-step explanation:

it's a simple question

Answer:

Lin is between 150 and 160 cm

Step-by-step explanation:

The height is represented by the inequality :

h > 150 and h < 160

h > 150 - - (1)

h < 160 - - - (2)

Combining the two :

h > 150 means 150 is less than h but h is not upto 160

Thus, we have ;

150 < h < 160

This means height, h occurs between the range ; 150 cm and 160 cm

If vector v = 5i + 4j and vector w = 6i-9j, the vector v + w is 11i - 5j, and the vector v - w is -i + 13j.

To add two vectors written in i,j form, we simply add their corresponding components. In the example provided, vector v is written as 5i + 4j, and vector w is written as 6i - 9j. To find the sum of v and w, we simply add the i components together and the j components together. This gives us:

v + w = (5i + 4j) + (6i - 9j) = 11i - 5j

Similarly, to find the difference of v and w, we subtract their corresponding components:

v - w = (5i + 4j) - (6i - 9j) = -i + 13j

This method of adding and subtracting vectors can be used for any two vectors written in i,j form, as long as we remember to add or subtract the corresponding components of the vectors.

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Using a system of equations, it is found that the value of b in the function would be of 6.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering that when x = 0, y = 15, we have that c = 15.

Then, when x = -1, y = 10, hence:

a - b + 15 = 10.

a - b = -5.

a = b - 5.

When x = 1, y = 22, hence:

a + b + 15 = 22.

a + b = 7.

Since a = b - 5:

b - 5 + b = 7.

2b = 12.

b = 6.

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Answer:

B) 6

Step-by-step explanation:

I took the exam for alg 2

Answer:

1.80

Step-by-step explanation:

Since we're rounding up to 2 decimal places we won't put the 5 in 1.795 in consideration, we'll just round up 79 which will give us 80, so we'll have 1.80. We're not rounding up to the nearest whole number or to one decimal place so the answer will remain as 1.80

Answer:

The answer is 58°.

Step-by-step explanation:

☆m<D and m<G are supplementary angles, meaning they equal 180°.

☆The equation: \(2w + 5w - 23 = 180\)

☆Let's solve it.

\(2w + 5w - 23 = 180 \\ 7w - 23 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: + 23 = + 23}{ \frac{7w}{7} = \frac{203}{7} } \\ w = 29\)

☆m<D and m<F is congruent, meaning they equal the same.

☆Solving for D is basically solving for F.

☆We found the value of w so let's plug it in into 2w.

\(m < d \\ 2w\\ 2(29) \\ 58\)

☆m<D equals 58, so m<F equals 58.

Answer:

3t (t²-7t-4t)

Step-by-step explanation:

The highest common factor was 3t

Answer:

90

Step-by-step explanation:

it must be 90 because you didn't reflect it down ..

Answer:

a. 18 percent

b. $90 billion

Step-by-step explanation:

a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.

First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment

Difference=13%-4%

Difference= 9%

Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.

Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).

Therefore the the size of the GDP gap in percentage-point terms is 18 percent

b. Calculation to determine how much output is forgone because of cyclical unemployment

Forgone Output :

By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,

Hence,

Output forgone = (18/100) ×$500 billion

Output forgone=0.18×$500 billion

Output forgone=$90 billion

Therefore the Forgone Output is $90 billion

The following correctly refers to the last element in the array of integers called numbers:

numbers[length of numbers-1].

An array is a collection of items, which can be of the same type and stored in contiguous memory. Once an array is created, its size cannot be altered during program execution. The last element in an array of integers called numbers can be referred to using numbers[length of numbers-1]. This is because array indexing starts from zero and the length of an array is the number of elements it contains, but indexing ends at length-1. Therefore, the last element in an array is always at the index length-1.It is important to note that array indexing is an error-prone area of programming, and one should always ensure that indices do not go out of bounds. This can lead to memory access violations and undefined behavior. A good practice is to use loops that start from 0 and end at length-1 when iterating over an array, to ensure that all elements are processed. It is also advisable to use constants or symbolic names to represent array indices, to make the code more readable and easier to maintain.

In summary, an array is a collection of items that can be stored in contiguous memory and cannot be resized during program execution. The last element in an array of integers called numbers can be referred to using numbers[length of numbers-1]. Array indexing is an error-prone area of programming, and one should always ensure that indices do not go out of bounds.

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When we solve the linear equation for y, we will get:

8*x/(3*a - 9) = y

That is the solution for the variable y.

Here we have the linear equation:

9*(x + y) = 3*a*y

Where x, y, and a are variables.

We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:

9*(x + y) = 3*a*y

9*x + 9*y = 3*a*y

Now we move all the terms with y to the right side.

8x = 3*a*y - 9*y = (3*a - 9)*y

Now we divide both sides by 3*a - 9 to get:

8*x/(3*a - 9) = y

That is the equation solved for y.

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To estimate the quotient of 3,780/90 using compatible numbers, we can round 3,780 to 3,800 and 90 to 100. Then we can divide 3,800 by 100, which gives us an estimate of 38 for the quotient.

This estimate will be a slight overestimate because we rounded up both numbers to the nearest hundred. However, since we rounded the dividend up by a larger amount than the divisor, the quotient will be slightly higher than if we had used the original numbers.
Using compatible numbers to estimate a quotient can be a helpful strategy when solving division problems. It involves rounding the numbers to simpler values that are easier to work with mentally, then performing the division operation using those simplified values. While the estimate may not be exact, it can give a sense of what the answer should be and help catch errors in more complicated calculations.

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The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

By the age of 2, a child will typically have a vocabulary of around 200-300 words, while by the age of 6, a child will typically have a vocabulary of approximately 8,000-14,000 words.

It's important to note that these figures are general estimates and can vary from child to child based on various factors such as exposure to language, individual development, and cultural background.

During the first two years of life, children rapidly acquire language skills. They start with simple words like "mama" and "dada" and gradually expand their vocabulary to include nouns, verbs, adjectives, and other parts of speech. By the age of 2, most children can understand and produce a range of words, allowing them to communicate basic needs and express simple thoughts.

As children grow older, their vocabulary expands significantly. By the age of 6, they have been exposed to a broader range of words through interactions, reading, and education. They acquire new vocabulary through conversations, books, and educational activities. At this stage, children can understand and use a wide variety of words, allowing them to express themselves more fluently and engage in more complex conversations.

It's important to remember that these are approximate figures, and individual development can vary. Providing a supportive language-rich environment and engaging in activities that promote language development can positively impact a child's vocabulary growth.

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Answer:

its 93 -_-

Step-by-step explanation:

If its wrong sorry

To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

years as Chair of the Statistics Department before becoming Associate Dean. She received an M.S. in. Mathematics and a Ph.D. in Applied Statistics from.

Step-by-step explanation:

Answer:

-5.4 is the average change per year

The probability of p(placebo and improvement) is 7.6%.

Here, we have,

Given that

Participants in a study of a new medication received either medication A or a placebo.

We have to find

The probability of P(placebo and improvement).

According to the question

Participants in a study of a new medication received either medication A or a placebo.

Let Probability that participants received medication A = P(M) = 0.80

Probability that participants received placebo = P(P) = 1 - P(M) = 1 - 0.80 = 0.20.

Because there are only two cases either medication A or a placebo.

Let I = event that there is an improvement.

Also, the Probability that participants reported improvement given that they had received medication A = P(I/M) = 0.76

The probability that participants reported no improvement given that they had received placebo = P(I'/P) = 0.62

So, Probability that participants reported improvement given that they had received placebo is,

=  P(I / P) = 1 - P(I' / P) = 1 - 0.62 = 0.38

Now, Probability of (placebo and improvement) = Probability that participants received placebo times Probability that participants reported improvement given that they had received placebo.

P(placebo and improvement) =  P(P)  times  P(I / P)  

P(placebo and improvement) =  0.20 times 0.38  =  0.076  or  7.6%

Therefore, the required probability of p(placebo and improvement) is 7.6%.

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\(10^2 = \bold{100}\)

\(100\) is the equivalent number of \(10 \space \text{squared}\).