please help!!

each small square represents 1 square centimeter.

The solid formed by rotating the above rectangle around the horizontal axis shown is best described as a_________.
-cylinder with radius 6cm and height 3cm.
-cone with radius 3cm and height 6cm.
-rectangular prism with 3cm x 6cm base and height of 3cm.
-cylinder with radius 3cm and height 6cm.

The volume of this solid is_______.

108 cubic centimeters
54 cubic centimeters
18 cubic centimeters
​

1.05 quarts of blue colors paint they mixed to make seafoam green paint.

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

From the given figure, total quantity of paint is 1.5 quarts.

70% of blue paint and 30% of yellow paint.

Let the quantity of blue paint be x.

Now, x =70% of 1.5

x =70/100 ×1.5

x =0.7×1.5

x =1.05 quarts

Therefore, 1.05 quarts of blue colors paint they mixed to make seafoam green paint.

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How you actually measure the variable is called the Operational definition of the variable .

The Operational Definition of a variable is how you actually measure it.

It specifies the methods, techniques, and procedures used to measure a particular variable. It is the concrete, specific, and practical definition of the variable in a way that makes it possible to be observed, measured, and recorded.

The operational definition is also used to ensure that all researchers are measuring the variable in the same way and to reduce the potential for measurement error. It is an important step in the scientific process as it allows for replication of results and makes the variable more concrete and tangible.

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Answer:

Step-by-step explanation:

12.6x-4.9x=123.2

63x over 5 -4.9x-123.2

The length of the crust around the larger pizza is equal to: B. 51.81 inches.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

For Restaurant 1: One large 16-inch pizza is sold for $14.99.

1 inch = 2.54 centimeters

16 inches = 16 × 2.54 = 40.64 centimeters

Therefore, restaurant 1 sells one large 40.64 cm pizza for $14.99.

For Restaurant 2: One large 41.91-centimeter pizza is sold for $14.99

Since we know that 41.91 centimeters is greater than 40.64 centimeters, restaurant 2 offers the larger pizza.

Now, we can calculate the length of the crust around the pizza, which is the same as the circumference of the pizza (circle)

C = π × d

C = 3.14 × 41.91

C= 131.5974 centimeters

In inches, we have:

C = 131.5974/2.54 = 51.81 inches.

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If at 2007 math Olympics, team Canada won 17 out of a possible 100 medals , then the closest fraction for the medals they won is (c) 1/6  .

To find the closest fraction to the number of medals that Canada won, we need to convert 17/100 to a simplified fraction by dividing by 17 .

So , On dividing both the numerator and denominator by 17.

we get , the closest fraction to 17/100 is 1/6 ,

Therefore, the closest fraction to the number of medals won by Canada is 1/6. Option (c) is the closest answer to the question.

The given question is incomplete , the complete question is

At the 2007 math Olympics, team Canada won 17 out of a possible 100 medals. which one of the following is closest to the fraction of medals that they won ?

(a) 1/4

(b) 1/5

(c) 1/6

(d) 1/7

(e) 1/8

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Answer:

29%

Step-by-step explanation:

23 + 11 + 23 + 8 = 65 people

So, 65 people are taking the survey.

11 + 8 = 19 people shopping online

19 divided by 65, times 100 = 29%

So, there are 29% of the people surveyed shop online.

Answer:

8 bags of chips.

Step-by-step explanation:

First, find the cost per individual unit. It is given that 2 bags of chips cost $6. Find the cost of one bag by dividing 6 with 2:

$6/2 bags = $3/bag

Next, you are solving for the amount of chips you can buy with $24. Divide 24 with the individual cost of $3:

$24/$3 per bag = 8

You can buy 8 bags of chips assuming all things are the same.

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Answer:

1st: find the slope of the line that is perpendicular to y = 4x + 6 (which is m = -1/4)
2nd: substitute m = -1/4  x = 8 into y = mx + b and y = -4
3rd: Calculate it -4 = -1/4  x 8 + b
b = - 2
4th: substitute m = - 1/4 and b = -2 into y = mx + b
The final answer would be: y = -x/4 -2

Step-by-ste1p explanation:

The home's price is worth today's compared to the original price, which increased by 9% per year, equal to $803,310.

Purchase price of the house bought by Sunita in 1992 = $289,000

Percent increase in the average home price from 1992 to today per year

= 9% per year.

Let us consider 'y' be the home price worth today.

Total number of years = 2023 - 1992

                                     = 31 years

Todays price = 289,000 × 9 % × 31

                      = ( 289,000 × 9 × 31 )/100

                      = $803,310

Therefore, for the increased in home price by 9% per year the worth todays home price is equal to $803,310.

The given question is incomplete, I answer the question in general according to my knowledge:

From 1992 to today the average home price increased by 9% per year. In 1992 Sunita Bath bought a house for $289,000. What was it worth today?

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The fountain should be located at the coordinates (4,2). This is the midpoint of the line segment that connects the vertices a(-1,-1) and c(7,-1). It is also the same distance from b(4,4).

To find the location of the fountain, we first need to find the midpoint of the line segment connecting the vertices a(-1,-1) and c(7,-1). This midpoint is located at the coordinates (4,2). To verify that this is the correct location, we can calculate the distance between the midpoint and each vertex. To do this, we use the distance formula, which is d=√((x2-x1)2+(y2-y1)2). Using the coordinates for the midpoint (4,2) and the coordinates for vertex a(-1,-1), we get d=√((42-(-12))2+((22-(-12))2). This simplifies to d=√((52+52))=√(50)=7.07. We can repeat the same process for the midpoint and vertex b(4,4) and for the midpoint and vertex c(7,-1). In both cases, we find that the distance is 7.07, so the fountain should be built at the coordinates (4,2).

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Answer:

the value of x that makes ACDE~AFGH is 27

The term "domain" refers to a group of potential input values, and the domain of a graph is made up of all the input values visible on the x-axis.

All the y values from the ordered pairings are listed to determine the range. Values that are repeated inside the domain or range don't need to be listed more than once. Each x must have a unique y value in order for a relation to be a function.

Simply solving for y = f(x) yields the values of the independent variable x and the domain, which we can use to determine the domain and range. Simply write x as x=g(y) to determine the function's range, and then identify g's domain.

Utilizing graphs is another method for determining the domain and range of functions. The collection of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The collection of potential output values that make up the range is represented by the y-axis.

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(a) A Probability Distribution is the only ways that shows the possible outcomes of a random experiment and the probability of each outcome.

The possible outcomes of a random experiment are the different outcomes that can occur when you perform an experiment.

The probability of each outcome is the chance of that outcome occurring.

A probability distribution is a table that shows the relative frequencies or chances of different outcomes occurring in a random experiment. The example below shows a probability distribution for flipping a coin:

In a random experiment, the possible outcomes are called outcomes. There are three types of outcomes: successes, failures, and ties. A success is when an event happens exactly as planned for it to happen. A failure is when an event doesn't happen at all or doesn't happen in the way that was expected.

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The length of the other diagonal is 22.36 cm.

Diagonal is defined as a sloping line or the slant line, that connects to the vertices of a shape.

Let's call the length of the other diagonal "d".

Since a rhombus has perpendicular diagonals that bisect each other

we can use the Pythagorean theorem to find the length of the other diagonal:

d^2 = 10^2 + 10^2 = 100

d = sqrt(100) = 10 * sqrt(10) = 10 * 2.236 = 22.36 cm

Therefore, the length of the other diagonal is 22.36 cm.

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The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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If the contractor's truck can haul 17 cubic yards per load, then 21 truckloads are needed.

Earth removed from a building site is 357 cubic yards.

A contractor's truck can haul 17 cubic yards per load.

To find how many truckloads were needed, we needed to divide the earth removed from the building site by the contractor's truck capable of hauling.

That is,  

The number of truckloads = earth removed from the building site/contractors' truck capable of hauling.

The number of truckloads = 357 cubic yards/17 cubic yards per load

The number of truckloads = 21 truckloads.

Therefore, the required truckloads are 21.

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f(x) > 0 over the interval ( - ∞ , - 4 )

What is the short definition of a coordinate plane?

A surface with two dimensions known as the coordinate plane is created by two number lines. The x-axis is a single number line that runs horizontally.

                    The y-axis is the name given to the vertical number line that is the other number line. A place known as the origin is where the two axes collide. To graph points, lines, and other things, we can utilize the coordinate plane.

If  f(x)  is a continuous function,  and that all the critical points of behavior change are described by the given information, then we can say that the function crossed the x axis to reach a minimum value of -12 at the point x=-2.5, then as x increases it ascends to a maximum value of -3 for x = 0 (which is also its y-axis crossing) and therefore probably a local maximum.

Then the function was above the x axis (larger than zero) from -∞ , until it crossed the x axis (becoming then negative) at the point x = -4. So the function was positive (larger than zero) in such interval.

There is no such type of unique assertion regarding the positive or negative value of the function when one extends the interval from -∞ to -3, since between the  values -4 and -3 the function adopts negative values.

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The values of t and s that satisfy the equality are t = sqrt(3 * 74.67 / 49) and s = sqrt(3 * 74.67 / 49).

The equality ⟨−(7t^2), 3s-2t⟩ = ⟨3s-t,24t⟩ means that the two vectors are equal, so the components must be equal:

-7t^2 = 3s-t

3s-2t = 24t

Solving for t, we can subtract 24t from both sides:

3s-26t = 0

Dividing both sides by 3, we get:

s - 8.67t = 0

So, t = s / 8.67.

Substituting t = s / 8.67 back into the first equation, we get:

-7(s / 8.67)^2 = 3s - s / 8.67

Expanding and simplifying, we get:

-49s^2 / 74.67 + 3s = s^2 / 74.67

Dividing both sides by s^2 / 74.67, we get:

-49 + 3 * 74.67 / s = 1

Multiplying both sides by s^2 / 74.67, we get:

-49s^2 + 3 * 74.67 = s^2

Expanding and rearranging, we get:

s^2 - 49s^2 + 3 * 74.67 = 0

Combining like terms, we get: -49s^2 + 3 * 74.67 = 0

Dividing both sides by -49, we get: s^2 = 3 * 74.67 / 49

Taking the square root of both sides, we get: s = sqrt(3 * 74.67 / 49)

Thus, the values of t and s that satisfy the equality are t = sqrt(3 * 74.67 / 49) and s = sqrt(3 * 74.67 / 49).

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Answer:

c

Step-by-step explanation:

I think

using inverse relation, If p= 60, then q= 3x because i find the constant value is 180.

P is approximately equal to 1/Q since P has an inverse relationship to Q. x=k/3 for P=x and Q=3. P = k/x when Q = x.

The correlation between bond prices and interest rates is a prime illustration of an inverse connection. Bond prices normally fall with an increase in interest rates, whereas bond prices often rise with a decrease in interest rates.

P×1/q

( formula now)  P= K/Q here K is a constant

                                 30= k/6

                                 k=30×6

                                 k= 180

when P is equal to 60 then q=

because constant k=60

60= 180/q

q=180/60

q=3 unit .

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If 7 out of every 9 people had Internet access, then 2 out of every 9 people did not have Internet access. The fraction of the world population that did not have Internet access in that year would be 2/9.

A fraction represents a portion of a whole or, more broadly, any number of equal pieces; a fraction describes the number of parts of a specific size, for example, one-half.

A fraction is a portion of a larger total. The number is stated in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than the denominator.

There are three primary forms of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are phrases that have a numerator and a denominator. We describe its kinds based on these two concepts.

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Answer:

x < -5

Step-by-step explanation:

Answer: x < -5

Step-by-step explanation:

The equation to show the number of hours that Steven worked will be S = O - G - 15

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this case, Dr Steve has worked more night shift than Dr. Greg who has worked five night shifts. Dr. Okon has worked fifteen night shifts more than Dr Steve an Dr Greg combined. Dr Uche has worked eight night shifts less than Dr Steve.

The expression can be illustrated as:

G = 5

O = G + S + 15

The equation for Steven will be:

S = O - G - 15

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Answer:

see below

Step-by-step explanation:

z+66+z+69+43z=180

so 45z=180-66-69 = 45

so z=1

so angle U= 43 its opposite side length ST is the smallest

same logic for the other 2.

66+1=67

69+1=70

so ST<US <TU

The compound interest on Rs. 24000 compounded semi annually is  

Rs 3783 .

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.

Given:

p=24000

r=5%

n=3

As we know,

[tex]A=P (1+\frac{r}{100})^{n}[/tex]

A = 24000 [tex]\\\\(1+\frac{5}{100})^{3}[/tex]

A = 24000 ( 1+ 0.05)³

A = 24000 (1.05)³

A = Rs 27783.

and, we know A = P + I

I=A-P

I=27783-24000

I = Rs 3783

Hence, the interest is Rs 2783.

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The answers to the function g(x) = - 2x + 5 in the table are 15, 11, 5, -1 and -5 respectively

A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable

Using the rule  g(x) = - 2x + 5

When x = -5

g(x) = - 2(-5) + 5 = 15

when x = -3

g(x) = - 2(-3) + 5 = 11

when x = 0

g(x) = - 2(0) + 5 = 5

when x = 3

g(x) = - 2(3) + 5 = -1

when x 5

g(x) = - 2(5) + 5 = -5

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Using Mathematical Expressions, Let's call the number of cherries in the cup "x".  There are 11 cherries in the cup.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

We know that:

Total number of cherries = 780

Number of cherries on the plate = 145

Number of cherries in the bowl = 4 * (Number of cherries in the cup + Number of cherries on the plate)

So we can set up the equation:

x + 145 + 4(x + 145) = 780

Simplifying, we can combine like terms:

x + 145 + 4x + 580 = 780

5x + 725 = 780

Subtracting 725 from both sides:

5x = 55

Finally, we can divide both sides by 5:

x = 11

So there are 11 cherries in the cup.

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Answer:

88.9%

Step-by-step explanation:

1) Write as a percentage

2) Round to 1 d.p

Have a lovely day :)

Answer: To find Y intercept means

T=0, so replace T with 0 and solve equation

it is equal to

300

Here is what I did to find the answer, If have any other question add me on discord Acathia#0103, i can help you with any other problems