Suppose a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage. Suppose over 50% of those called do not support gay marriage. Does that mean that you can say over 50% of all people in the U.S. do not support gay marriage

Answer:

The answer is (a²+1)(2a+1)

Answer:

315 yd cubed

Step-by-step explanation:

To find the volume of the pyramid, we first need to consult the equation below. Thebase is for the rectangular portion, then after multiplied by the height it is divided by 3 to get the pyramid.

\(\frac{1}{3} (B * H )\)

To get the base, we multiply the length by the width.

21 * 9 = 189

189 * 5 = 945

945 divided by 3 = 315

Answer:

Let's find the base area:

21 x 9 = 189

Now let's multiply the base area by the height:

189 x 5 = 945

Now let's divide by 3( x 1/3 ):

945 divided by 3(x 1/3) = 315 yd^3 is your answer

Step-by-step explanation:

Formula area of a rectangular Pyramid(just like any other pyramid):

BH x 1/3

To find base we multiply length by width just using the basic formula of finding area of a rectangle.

Then we multiply our base area by our height.

One we've done that we now divide by 3(multiplying by 1/3)

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

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Answer:21

Step-by-step explanation:

Answer:

315359990076847

Step-by-step explanation:

3x^4+2x^2-5x+1 when x=3202

replace the x's with 3202

3(3202)^4+2(3202)^2-5(3202)+1

solve the exponent first

3(105119989862416)+2(10252804)-5(3202)+1

then multiply

315359969587248+20505608-16010+1

add/subtract

315359990076847

Answer:

  d.)  Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft times 3 ft times 3 ft. A prism with those dimensions will take 27 cubes to fill it, if each cube is a unit cube of 1 ft³.

Step-by-step explanation:

There are (3 ft)(3 ft) = 9 ft² in one square yard. To find the volume of a cubic yard, you need to multiply that by 3 ft again: (9 ft²)(3 ft) = 27 ft³.

_____

Additional comment

For many problems involving units, I like to keep the units with the numbers. That helps ensure the math is done correctly. In this problem, simply multiplying ft by ft gives ft^2, not ft^3, so you know right away that you haven't computed volume correctly.

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.

Given:

Number of blue t-shirst, B=60.

Number of red t-shirs, R=30.

The number of total t-shirts is,

The probabilty of choosing a blue t-shirt is,

Therefore, the probabilty of choosing a blue t-shirt is 2/3.

\(4(x + 1) = 5(x - 3) \\ 4x + 4 = 5x - 15 \\ 5x - 4x = 4 + 15 \\ x = 19\)

The total number of students in Ms. Morales's class is either 20 or 30, depending on the value of x.

Let the ratio of boys to girls in Ms. Morales's class be 3x:7x, where 3x represents the number of boys and 7x represents the number of girls.

The total number of students in the class is equal to the sum of the number of boys and the number of girls, which is 3x + 7x = 10x.

We don't know the value of x, but we do know that the class size is between 22 and 34 students.

Therefore, we can set up an inequality based on the total number of students:

22 ≤ 10x ≤ 34

Dividing all parts of the inequality by 10, we get:

2.2 ≤ x ≤ 3.4

Since x represents a whole number of students, the possible values for x are 3 (if there are 30 students in the class) or 2 (if there are 20 students in the class).

If x = 3, then the total number of students is:

10x = 10(3) = 30

If x = 2, then the total number of students is:

10x = 10(2) = 20

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The equivalent expression for the given expression is -2i(-8+4i).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 8 +16i.

The given expression can be written as 8(1+2i)

-2i(-8+4i)

= -2i×(-8)-(-2i)×4i

= 16i-8i²

= 16i-8(-1)

= 8+16i

Therefore, the equivalent expression is -2i(-8+4i).

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Carly made a mistake in step 1 because she divided by -4 on the left side but multiplied by -4 on the right side.

On step 1 carly's equation should look like this

Answer:

0.292 rad/s

Step-by-step explanation:

\(b=\text{Distance of rocket from your feet}=20\ \text{ft}\)

\(\dfrac{dp}{dt}=\text{Rate of change of height}=19\ \text{ft/s}\)

\(p=\text{Distance of the rocket from the ground}=30\ \text{ft}\)

Finding distance between the feet and when the rocket is 30 ft in the air

\(d=\sqrt{b^2+p^2}\\\Rightarrow d=\sqrt{20^2+30^2}\\\Rightarrow d=36.1\ \text{ft}\)

\(\tan\theta=\dfrac{p}{b}=\dfrac{p}{20}\)

Differentiating with respect to time

\(\sec^2\theta\dfrac{d\theta}{dt}=\dfrac{1}{20}\dfrac{dp}{dt}\\\Rightarrow \dfrac{d\theta}{dt}=\dfrac{\cos^2\theta}{20}\dfrac{dp}{dt}\)

\(\cos\theta=\dfrac{b}{h}\\\Rightarrow \cos\theta=\dfrac{20}{36.1}\\\Rightarrow \cos^2\theta=\dfrac{20^2}{36.1^2}\)

\(\dfrac{d\theta}{dt}=\dfrac{\dfrac{20^2}{36.1^2}}{20}\times 19\\\Rightarrow \dfrac{d\theta}{dt}=0.292\ \text{rad/s}\)

Rate of change of the angle is 0.292 rad/s.

The amount of cash generated is 78.75 Million.

Price-sales ratio, often known as the P/S ratio or PSR, is a stock valuation indicator. It is computed by dividing the market capitalization of the company by its most recent fiscal year's revenue, or, equivalently, by dividing the share price of the stock by its revenue per share.

The sales ratio will be calculated as below:-

Sales= $450  Million

Fixed Assets= $225  Million

% of capacity utilized. . 65%

Sales at full capacity = actual sales/%of capacity used = 692.31 millions dollars .

Target FA = Full capacity FA/sales = FA/Capacity sales = 32.50%

(225*65% = 146.25, 146.25/450 = 32.50%)

Optimal FA = sales * targeted FA/Sales Ratio = 450*32.50% = 146.25

Cash Generated = Actual FA-optimal FA = 225-146.25 = 78.75 millions dollars

Therefore, the amount of cash generated is 78.75 Million.

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All the slopes of tables are,

13) m = 2

14) m = - 1/1

15) m = 0

16) m = 3

17) m = infinite

18) m = - 1/3

We have to given that;

All the tables are shown.

And, To find the slope of all the table.

Since, We know that;

Slope passing through the points (x₁ , y₁) and (x₂, y₂) is defined as,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, We get;

13) Two points are (- 2, - 3) and (- 1, - 1)

Hence, Slope is,

m = (- 1 + 3) / (- 1 + 2)

m = 2/1

m = 2

14) Two points are (- 4, 6) and (0, 4)

Hence, Slope is,

m = (4 - 6) / (0 + 4)

m = - 2/4

m = - 1/2

15) Two points are (6, 2) and (3, 2)

Hence, Slope is,

m = (2 - 2) / (3 - 6)

m = 0

16) Two points are (- 2, - 3) and (0, 3)

Hence, Slope is,

m = (3 + 3) / (0 + 2)

m = 6/2

m = 3

17) Two points are (3, 6) and (3, 4)

Hence, Slope is,

m = (4 - 6) / (3 - 3)

m = infinite

18) Two points are (- 4, 4) and (- 1, 3)

Hence, Slope is,

m = (3 - 4) / (- 1 + 4)

m = - 1/3

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

x=9

Step-by-step explanation:

6(9)=54

In mathematical expression the given expression is written as;

⇒ S + 12 = x² + 2x + 4

Where, S is area of square with side x.

What is Area of square?

A square is a two dimension figure in which all the sides are equal. Since all the sides are equal, the area would be two times the side of a square.

Let a side of square is x feet.

Then, Area of a square (S) = x²

When, The side of the square is increased by 2 feet. Then area is increase by 12 sq. ft.

Then, Side of a square = (x + 2)

Hence, Area of a square = (x + 2)²

                            s + 12  = x² + 2 * x * 1 + 2²

                            s + 12 = x² + 2x + 4

So, In mathematical expression the given expression is written as;

⇒ S + 12 = x² + 2x + 4

Where, S is area of square with side x.

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FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.

To calculate March cost of goods sold we need to add the given data for FIFO =

March cost of goods sold

= (2,800 + 3,700 + 6,550)

= 13,050

To calculate March cost of goods sold we need to add the given data for LIFO =

March cost of goods sold

= (3,400 + 4,400 + 6,800)

= 5,800

Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.

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Answer:

32

Step-by-step explanation:

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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The 4th line plot picture correctly shows the data of the lengths of the sticks that were 3, 3, 4, 3, 3, 5, 4, 6, 5 and 4 inches.

A line plot is a graph that uses symbols to represent data above a frequency number line. It is used to arrange the data simply and is very simple to understand.

A line plot is a graphical representation of data on a number line which uses dots, crosses, or any other symbol. The scale of the graph is represented by each mark, which corresponds to a particular quantity.

The data on a number line can be graphically represented using symbols using a line plot graph. In contrast to a line graph, no cartesian plane or x and y axes are used in this data representation. Simple lines are drawn on a number line to represent a line plot graph.

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Full question:

Andre measured the lengths of 10 sticks to the nearest inch. the lenghts of the sticks were 3,3,4,3,3,5,4,6,5 and 4 inches. Click on the line plot that shows these data. Lengths of Sticks (in inches) Lengths of Sticks (in inches) Lengths of Sticks (in inches) Lengths of Sticks.

The angle formed by the two hands have a measure less than 1/4 turn

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

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.

If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.

Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.

Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).

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