4. [6 pts) In the blank next to each equation, write the name of the conic it defines, x2 + 3x + 2y2 = 8 a. b. 3x - 4y + y2 = 2 C. x2 + 4x + 4 + y2 - 6y = 4 d. (x-3)2 --(y - 1)2 = 1 4 e. (y + 3) = (x

Answer:

8%

Step-by-step explanation:

234.25$ : 100 = 252.99$ : x

234.25x = 252.99 x 100

234.25x = 25299

25299 divided by 234.25 is 108

so answer 8%

The area of the triangle whose base is 4 unit and height is 2 unit is 4 square units .

To calculate the area of a triangle, we multiply the base by the height and divide the result by 2 .

Base of triangle = 4 units

Height of triangle = 2 units

Area of triangle = ( Base of triangle * Height of triangle ) / 2

Area of triangle = ( 4 * 2 ) / 2

Area of triangle = 8 / 2

Area of triangle = 4 square units

Therefore, the area of the triangle is 4 square units .

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Answer:

formula for area is length × height

so we have 13+8 ×16+4

21×20 = 420m

Answer:

189.6

Step-by-step explanation:

790*4=3160*6%

To find the circumference we have to calculate

where r=6

therefore we have that the answer is

Answer:

what was c?

Step-by-step explanation:

Answer:

1400 cm/ 2.54 cm per inch = 551 inches. Step-by-step explanation: There are 39.3701 inches in 1 meter, so all you have to do is multiply. :) 551 inches.Step-by-step explanation:

The original price of the ski jacket is $184.

What is price?

The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".

Given:

Paula bought a ski jacket on sale for $8 less than half its original price.

She paid $84 for the jacket.

We have to find the original price of the ski jacket.

Let

The original price = x

The amount she bought it = x/2 - 8

She paid $84 for the jacket

Therefore,

84 = x/2 - 8

Add 8 on both sides,

84 + 8 = x/2 - 8 + 8

92 = x/2

x = 184

Hence, the original price of the ski jacket is $184.

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The area of Mindy's figure in square inches is 1250\(\pi\)+5000.

Given the figure contain two squares of side length= 50 inches and two-quarter circles of radius=50 inches

The area of the square is \((length of side)^{2}\)        

The area of a quarter of the circle is \(\frac{\pi r^{2} }{4}\)

The area of the square= \((50 inches)^{2}\) {as the length of the side of the square is 50 inches}

The area of the square= 2500 square inches

Therefore the area of two squares is (2500 square inches) × 2

The are two squares=5000square inches

The area of a quarter of the circle=\(\frac{\pi (50 inches)^{2} }{4}\) {as the length of the radius of the circle is 50 inches}

The area of a quarter of the circle=\(\frac{2500\pi }{4}\)

Therefore the area of two quarters of the circle = \(1250\pi\)square inches

Area of Mindy's figure= area of two square's+ areas of two quarter circle

Area of Mindy's figure= 2500square inches+ \(1250\pi\)square inches

Area of Mindy's figure= (2500+\(1250\pi\))square inches

Hence, The area of Mindy's figure in square inches is 1250\(\pi\)+5000.

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The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Note that given the above triangle and exterior angle, the value of x is 28° while the value of the exterior angle is 60° (Option D). This is solved using the exterior angle theorem.

If a triangle side is constructed, the outside angle formed is equal to the sum of the two inside opposing angles.

In this case, the opposing triangles are:

∠PQR = x° and

∠QPR = 60°

While the exterior angle is: (2x+4)°

Given the above theorem,

2x+4 = x + 60
⇒ 2x = 60 -4 (Having collected like terms)

x = 56/2

thus,

x = 28°

Since x is given as approximately 28°

The external angle is given as:

2(28) + 4

⇒ 56 +4

= 60° (Option D)

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True. When performing econometric analysis on time-series data, it is a best practice to sort the data in chronological order. Econometric analysis involves using statistical methods to study and understand economic relationships, trends, and patterns.

Time-series data refers to a set of observations collected at regular intervals over time, such as stock prices, GDP growth, or unemployment rates.

Sorting the data in chronological order is essential because it allows for a proper understanding of the temporal relationship between different data points. This ordering helps researchers identify patterns, trends, and potential causal relationships within the data. Additionally, many econometric models, such as autoregressive or moving average models, rely on the assumption that the data points are arranged sequentially in time.

In summary, when conducting econometric analysis on time-series data, it is crucial to sort the data in chronological order to accurately analyze patterns, trends, and relationships. This practice enables researchers to develop robust models that can be used for forecasting and understanding the underlying economic processes.

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Based on the given information, 864 people attended the concert, live closer than 50 miles from the venue, and spent more than $60 per ticket.

Based on the given information, the number of people who attended the concert and live closer than 50 miles from the venue can be calculated as follows:

Number of people who attended the concert and live closer than 50 miles = (3/5) * 4800

         = 2880

Furthermore, it is given that 0.3 (or 30%) of the people who live closer than 50 miles from the venue spent more than $60 per ticket. To find the number of people who attended the concert and live closer than 50 miles from the venue, and spent more than $60 per ticket, we can multiply the number of people who live closer than 50 miles by the percentage:

Number of people who attended the concert, live closer than 50 miles, and spent more than $60 per ticket = 0.3 * 2880 = 864

Therefore, the number of people who attended the concert, live closer than 50 miles from the venue, and spent more than $60 per ticket is 864.

The given information provides details about the proportion of people who live closer than 50 miles from the venue and the proportion of them who spent more than $60 per ticket. By multiplying these proportions with the total number of people who attended the concert, we can determine the actual numbers.

First, we find the number of people who attended the concert and live closer than 50 miles from the venue by multiplying the fraction (3/5) by the total attendance of 4800. This gives us a count of 2880.

Next, to calculate the number of people who attended the concert, live closer than 50 miles, and spent more than $60 per ticket, we multiply the proportion 0.3 (or 30%) by the count of people who live closer than 50 miles (2880). This gives us a count of 864.

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Step-by-step explanation:

Given

perpendicular (p) = a

hypotenuse (h) = 3√2

sin 45 ° = p/h

1 /√2 = a / 3√2

Cross multiply

3√2 = a √2

a = 3√2 / √2

Therefore a = 3.

Answer:

1.2 m^2

Step-by-step explanation:

4 times .3 = 1.2

The required function F(d) = 13200 + 2d

To have a total of 15000 frequent flyer mile, Roy will need to charge a total of $900 on his credit card.

Miles from round trip flight = 2832

Miles from round trip flight = 2832 Miles he has already = 10368

Miles from round trip flight = 2832 Miles he has already = 10368Miles per dollar charged on credit card = 2.

This means that ; for d dollar charge in his credit card ;

He will have : (2 × d) = 2d

Hence, the total number of frequent flyer mile if D dollar is charged on his credit card will be :

F(d) = 10368 + 2832 + 2d

F(d) = 13200 + 2d

that is : F(d) = 15000

We calculate thus :

15000 = 13200 + 2d

15000 - 13200 = 2d

1800 = 2d

d = 900

Hence, Roy will need to charge $900 on his credit card.

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Answer:

.6

Step-by-step explanation:

The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.

Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.

This cylinder is formed by rotating some polygon around YZ.

The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.

So length = 10 inches

The width of the rectangle will be half of the diameter.

Width = 18/2 = 9 inches

Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.

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At a significance level of 5%, with a sample size of 800 items produced on a new machine and 48 of them being defective, the null hypothesis is that the proportion of defective items is not significantly more than 5%, while the alternative hypothesis is that it is significantly more than 5%. The level of significance is 0.05. Using a z-test for proportion with a one-tailed test, the calculated test statistic is 3.45. Since the calculated test statistic is greater than the critical value of 1.645, we reject the null hypothesis. Therefore, there is enough evidence to get rid of the machine.

Null Hypothesis: p = 0.05

Alternative Hypothesis: p > 0.05

Level of Significance: α = 0.05

Sample Size: n = 800

Number of Defective Items: x = 48

Sample Proportion:P= x/n = 48/800 = 0.06

Since the sample size is large, we can use the normal distribution to approximate the binomial distribution.

Test Statistic: z = (P - p) / sqrt(p * (1 - p) / n)

Under the null hypothesis, the test statistic follows a standard normal distribution.

Decision Rule: Reject the null hypothesis if z > zα, where zα is the z-score that corresponds to a cumulative probability of 1 - α.

From the standard normal distribution table, we have:

zα = 1.645

Computation:

z = (0.06 - 0.05) / sqrt(0.05 * 0.95 / 800) = 1.33

Since z (1.33) is less than zα (1.645), we fail to reject the null hypothesis.

Conclusion: At a significance level of 5%, there is not enough evidence to conclude that the proportion of defective items produced by the new machine is significantly more than 5%. Therefore, the factory should not get rid of the machine based on this sample data.

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Answer:

She drinks 4.8 ounces of water per hour

Step-by-step explanation:

We know

Yasmin drank 3/4 of an 8-ounce glass of water in 1 1/4 hours

3/4 of 8 ounce = 6 ounces

1 1/4 = 5/4 = 1.25 hours

How much can she drink per hour?

6 divided by 1.25 = 4.8 ounces of water per hour

So, she drinks 4.8 ounces of water per hour.

Answer:

1.) CIRCLE B

2.) 14 cm ; 7cm ; 154cm²

Step-by-step explanation:

Given that:

CIRCLE A:

Diameter (d) = 9cm

CIRCLE B:

Radius (r) = 5cm

Circumference of circle A:

Radius (r) = diameter / 2

C = 2 * pi * r = 2 * 3.14 * (9/2) = 28.26 cm

Circumference of Circle B:

C = 2 * pi * r = 2 * 3.14 * 5 = 31.4 cm

CIRCLE B has the larger Circumference.

2.) circle with Circumference (C) = 44cm

Diameter of circle ;

C = 2 * pi * (d/2)

44 = 2 * 3.14 * (d/2)

44 = 6.28d / 2

88 = 6.28d

d = 14.01 = 14.0 cm ( 1 decimal place)

B.) Circle's Radius

Radius = diameter / 2

Radius = 14.0 / 2 = 7 cm

C.) Area (A) of the circle :

A = pi * r^2

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86

A = 154 cm²

Step-by-step explanation:

Did you mean :

f(x) = 5(4 - x)

f(16) = 5(4 - 16)

f(16) = 5(-12)

f(16) = -60

Answer:

????????

Step-by-step explanation:

Answer:

1. 5.28344e-7

2. 0.00132e-8

3. 528.344

i think

Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:

My push

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

The equation that describes the function is determined as y = x + 3.

The slope of a line is defined as rise over run, or the change in the y values to change in x values.

The slope of the line is calculated as follows;

slope, m = Δy / Δx = ( y₂ - y₁ ) / ( x₂ - x₁)

From the points on the graph, we have;

(x₁, y₁ ) = (-1, 2)

(x₂, y₂) = (1, 4)

m = ( 4 - 2) / ( 1 + 1 )

m = 2/2

m = 1

The y intercept of the line is 3

The general equation of a line is given as;

y = mx + c

where;

y = x +  3

Thus, the equation that describes the function is determined as y = x + 3.

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Answer:

39

Step-by-step explanation:

You need to solve the exponents first

3[64÷(25 -9)+9]

Then you can do the parenthesis

3[64÷ 16 +9]

Then divide 64 by 16 which equals 4

3[4+9]

Then you do the brackets

3 x 13

Which equals 39

Answer:

39

Step-by-step explanation:

Use PEMDAS.

Starting equation:

\(3[8^{2}/(5^{2}-3^{2} )+9]\)

Start with evaluating the Exponents inside the innermost Parentheses:

\(3[8^{2} /(25-9)+9]\)

Evaluate the Subtraction inside the innermost Parentheses:

\(3[8^{2} /(16)+9]\)

Now that we have solved the first set of Parentheses, we need to solve the second, starting with the Exponents:

\(3[64/16+9]\)

Next, we need to evaluate the Division inside the Parentheses:

\(3[4+9]\)

After that, evaluate the Addition inside the Parentheses:

\(3[13]\)

Finally, evaluate the Multiplication:

\(3[13]=39\)

The answer is 39.

Answer:

x-int: (5, 0)

y-int: (0, 4)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

x-int

According to the graph, it crosses the x-axis at 5. Therefore, our x-int is (5, 0)

y-int

According to the graph, it crosses the y-axis at 4. Therefore, our y-int is (0, 4)

Step-by-step explanation:

1. The table represents a nonlinear function because the graph does not show a constant rate of change.

2. x -2 -1 0 1 2, y 5 2 1 2 5 represents a linear function.

3. The coordinate plane with a graph drawn that passes through the points negative 2 comma 0 and 0 comma negative 4 and 2 comma 0 represents a linear function.

4. The graph represents a nonlinear function because the rate of change is not constant.

5. The table represents a linear function because there is a constant rate of change in the input and output values.

6. y equals two thirds times x plus 4 represents a linear function.

7. The equation represents a linear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are on a straight line.