y= -5/6x + 4 in slope intercept form?

We can expect 30 guests to receive free admission out of the 1500 guests expected this weekend.

To determine how many guests can be expected to receive free admission, we need to use the given information about the ratio of guests with coupons to guests without coupons. We can do this by setting up a proportion and solving for the unknown variable.

Let x be the number of guests we can expect to receive free admission.
1/50 = x/1500

Cross-multiplying gives us:
50x = 1500

Dividing both sides by 50 gives us:
x = 30

Therefore, we can expect 30 guests to receive free admission out of the 1500 guests expected this weekend.

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True. We would not reject the null hypothesis if the computed value of f is 0.99 and the f critical value is 3.89.

In hypothesis testing, the f-value is used to compare the variability between groups or conditions to the variability within groups. The f-value is compared to a critical value to determine if the results are statistically significant.

If the computed value of f is 0.99 and the f critical value is 3.89, we would not reject the null hypothesis. In order to reject the null hypothesis, the computed f-value should be larger than the critical f-value. Since 0.99 is smaller than 3.89, we do not have sufficient evidence to reject the null hypothesis.

The f critical value represents the cutoff point beyond which the observed data would be considered statistically significant. If the computed f-value is smaller than the critical f-value, it means that the observed data does not provide strong enough evidence to reject the null hypothesis. Therefore, in this scenario, we would not reject the null hypothesis.

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Answer: The last one is a function

Step-by-step explanation:

If A value of x for example 4 produces more than one y value like 1 and 3 it is not a function also graphing it and using the line method helps

The percentage of Container A that is full after the pumping is complete is; 45.3%

The formula for volume of a cylinder is;

V = πr²h

Volume of Cylinder A is;

V = π × 12² × 13

V = 1872π

Volume of Cylinder B is;

V = π × 8² × 16

V = 1024π

After pumping, volume in container A will be;

V_new = 1872π - 1024π

V_new = 848π

Percentage is;

848π/1872π * 100% = 45.3%

Thus, 45.3% of Container A is full after the pumping is complete.

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Answer:

3

Step-by-step explanation:  If they are parallel, the lines will always run the same distance apart and never intersect.  If the slopes are different, they will intersect at some point

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

(2,3)

Step-by-step explanation:

its by 3

Answer:

C

Step-by-step explanation:

Answer:

x ≤ -5

The image has the work shown

Answer:

51.4%

Step-by-step explanation:

ANSWER: 51.4%

Step-by-step explanation:

Multiply by 100. the decimal will move 2 to the right due to the two zeros in 100

The area of the parallelogram is equal to the absolute value of the determinant of the matrix .

Explanation:

To demonstrate that the determinant of the matrix whose columns are vectors defining the sides of a parallelogram is equal to the area of the parallelogram, we can follow these steps:

1. Let's consider two vectors that define the sides of a parallelogram, A and B, opposite to each other.

2. Form a matrix M with the components of the vectors A and B as columns:

\(M=det \left[\begin{array}{ccc}A_{x} &B_{x} \\A_{y} &B_{y} \end{array}\right]\)

3. Calculate the determinant of matrix M:

\(det(M) = (A_{x} *B_{y} ) - (B_{x} *A_{y} )\)

4. The area of a parallelogram can be found using the cross product of its side vectors:

Area = ||A x B||

5. The cross product of A and B is a vector with components:

A x B = (0, 0, A_x * B_y - A_y * B_x)

6. The magnitude of the cross-product is the area of the parallelogram:

Area = ||A x B|| = \(\sqrt{ (A_{x} *B_{y} ) - (B_{x} *A_{y} )^{2} }\) = \((A_{x} *B_{y} ) - (B_{x} *A_{y} )\)

Now, we can see that the area of the parallelogram is equal to the absolute value of the determinant of the matrix M:

Area = |det(M)|

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Answer:

The  answer would be -16

Step-by-step explanation:

Add

5

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Total money needed= $5,000

Percentage raised= 75%

To calculate the amount collected and the difference required, we need to use the following formulas:

Total collected= 5,000*0.75

Total collected= $3,750

Difference= 5,000 - 3,750

Difference= $1,250

The inherent zero is simply a zero. The three instances for both are-

The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.

Some key features of inherent zero are-

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You need to adjust the tube of the microscope to 6.83cm in order to view the sample in focus with a completely relaxed eye

Given, Focal length of the eyepiece,  = 2.50 cm

The focal length of the converging lens, f = 1.00 cm

The distance of the object, p = 1.30 cm

Lens equation, \(\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\)

Substitute the values in the above equation

\(\frac{1}{1.00} = \frac{1}{1.30} + \frac{1}{q}\)

q = 4.33 cm

now, the image is formed at the focal point of the eyepiece,

therefore, the distance between the objective and the eyepiece, d =  + q = 2.50 cm + 4.33 cm

d = 6.83 cm

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Answer:

1.3 inches

Step-by-step explanation:

1. Determine what you already know in order to set up the equation:

1 inch = 100 miles

x inches = 130 miles

Solving for x

2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)

\(\frac{100}{1}\) = \(\frac{130}{x}\)

3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)

100x = 130

4. Divide each side by 100 to isolate the variable.

x = 1.3

He should invest $86.29 in the account now, which has a 7% interest compounded monthly.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months

Based on the given information, P is the unknown and

B = $5000

t = 5 years = 60 months

r = 7% = 0.07

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$5000 = P(1 + 0.07/1)^60

$5000 = P(1.07)^60

P = $5000/(1.07)^60

P = $86.29

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Answer:

55/7 in simplest form is 7 6/7

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.

The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Hence, the correct option is C.

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Answer: Below

Step-by-step explanation:

The domain is all real numbers. The range is also all real numbers.

Hope this helped!

The solution is, C = 25°, b = 62.3, c = 32.1

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

The Law of Sines can be used to solve a triangle when two angles and a side opposite one of them is given.

third angle

The angle sum theorem can be used to find the third angle.

 C = 180° -A -B

    = 180° -30° -125°

    = 25°

unknown sides

The Law of Sines tells you ...

 a/sin(A) = b/sin(B) = c/sin(C)

 b = a(sin(B)/sin(A))

    = 38·sin(125°)/sin(30°)

    ≈ 62.3

 c = a(sin(C)/sin(A))

    = 38·sin(25°)/sin(30°)

    ≈ 32.1

The solution is ...

 C = 25°, b = 62.3, c = 32.1

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Answer:

the anser and the

Step-by-step explanation:

Answer:

If im wrong just say but i think it B

Step-by-step explanation:

Answer:

Add 5 to both sides.

Step-by-step explanation:

3.7 = x + (-5)

3.7 + 5 = x + ( -5) + 5

5 cancels on the right

8.7 = x

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3.7=x+(-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3.7=x-5

Add 5 to both sides of an equation, we get

3.7+5=x-5+5

x=8.7

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

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Answer: Approximately 0.0003047

As a fraction, it is equal to exactly 792/(2,598,960)

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Explanation:

The king of spades must be in the hand, and we can pick any other king. There are 3 ways to pick the other king. Then there are 4 C 2 = 6 ways to pick the two queens. The 4C2 refers to the nCr notation. Or you could use Pascal's Triangle.

Overall, there are 3*6 = 18 ways to pick the king of spades, another king, and exactly 2 queens.

Then we have one more card to pick that isn't a king nor a queen. There are 4+4 = 8 cards that are either a king or queen, leaving 52-8 = 44 cards that are neither.

So there are 18*44 = 792 ways to pick a king of spades, another king, exactly 2 queens, and some other card that isn't a king nor queen.

This is out of 52C5 = 2,598,960 possible five card hands.

The probability we're after is roughly 792/(2,598,960) = 0.0003047

Side note: order does not matter with card hands.

Answer:

n - 2 \div 8 = 0

n - 2 = 8

n = 10

Step-by-step explanation:

The mean number of students in the class is 2.4 siblings.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

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