A flying disc has a diameter of 9 inches. What is the circumference of the disc in inches? Round to the nearest tenth.

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1 where as an irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

Answer:

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.

Step-by-step explanation:

[tex]y=4[/tex]

Given - [tex]\frac{9}{4y} -12=\frac{1}{4y} -4[/tex]

To find - [tex]y=?[/tex]

Since,

[tex]\frac{9}{4y} -12=\frac{1}{4y} -4\\\frac{9}{4y} =\frac{1}{4y} +8\\\frac{8}{4y} =8\\2y=8\\y=\frac{8}{2} \\y=4[/tex]

Therefore, [tex]y=4[/tex].

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4x+9=2x−6

Step 1: Subtract 2x from both sides.

4x+9−2x=2x−6−2x

2x+9=−6

Step 2: Subtract 9 from both sides.

2x+9−9=−6−9

2x=−15

Step 3: Divide both sides by 2.

2x

2

=

−15

2

x=

−15

2

Answer:

x=-15/2

Express the radius of the Sun as a proportion to radius of Earth:

695500/6378 = 109.04...

Now if a baseball would represent Earth, the model for Sun would have to be about 110 times larger than a baseball. A baseball is about 3" in diameter, so the model for Sun would have to be about 330" (or 27 feet) in diameter.

The answer should be no it is not reasonable to use baseball as a model for the Earth because the Sun would need to be about the size of a hot air balloon!

Answer:

7 x 10^3

Step-by-step explanation:

7 x 10 x 10 x 10

To find the value of the expression 7 x 10^3, multiply 7 by 10 raised to the power of 3 to get 7,000.

To find the value of the expression 7 x 103, you need to multiply 7 by 10 raised to the power of 3. When you raise a number to the power of 3, you multiply it by itself three times. In this case, you need to multiply 10 by itself three times, which gives you 1000. So, the value of 7 x 103 is 7,000.

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Answer: A) yes the graph passes the vertical line test

What is the vertical line test? It's a test to see if we have a function. Here's how the test works: if you can draw a single line that passes through more than one point on the function curve, then the graph fails the vertical line test. If it fails the test, then the relation is not a function.

In this case, it is impossible to draw a single line that goes through more than one point on the orange curve. So this curve passes the test. Therefore, the curve represents a function. Any input (x) leads to exactly one output (y).

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

4+3=7 and 7x2 is 14 so cooper has 14 and nando and jill have 7 total.

Answer:

Hi 14 goldfish

Step-by-step explanation:

The equation would be 4+3*2 and the final answer would be 14 goldfish

The answer would be 4.

700 x 300 = 210,000

First multiply 700 and 300

700 x 300= 210000

Now count the zeros in the number.

So the product of 700 and 300 have 4 zeroes.

Another way to do this is just count the zeroes under 700 and 300.

When you multiply any two numbers that have zeroes the zeroes will practically add together.

For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.

Or 30 x 40=1200 they had one zero and the total has 2 zeroes.

Answer:

C on Edge

2 real number solutions

Step-by-step explanation:

the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.

The function h(x) = x³ – 4x² – 3x + 18 is a polynomial function of degree 3. To find the number of real solutions, we can analyze its graph or use the fundamental theorem of algebra.

The fundamental theorem of algebra states that a polynomial of degree n has exactly n complex roots. In this case, since it's a degree 3 polynomial, it can have at most 3 real roots, with the possibility of having some as complex solutions.

Therefore, the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.

Daniel's friend took .75 pounds of rice home

Daniel had 2.75 pounds of rice, and 1.25 pounds were eaten during the dinner. The remainder, 1.5 pounds, was divided, and his friend took home 0.75 pounds of the Spanish fried rice.

The question asks us to calculate the amount of Spanish fried rice left after a family dinner and how much was taken by Daniel's friend. To find out the remaining weight of rice after the meal, we subtract the amount of rice eaten from the original weight. Then, to find how much rice Daniel's friend took home, we divide the remaining rice by two.

Therefore, Daniel's friend took home 0.75 pounds of the Spanish fried rice.

Answer:

[tex]25x+15y\geq 1975\\y\leq 4x\\y\geq 50\\x\geq 0[/tex]

Step-by-step explanation:

Let x represents the number of lawns mowed by Mike and y represents the number of cars washed by Beth.

Then, the amount earned by Mike if he charges $25 for moving the lawn[tex]=25x[/tex]

And the amount earned by Beth if she charges $15 for moving the lawn[tex]=15x[/tex]

Then, as need at least $1975 in order to go Disneyworld.

So, first inequality is,

[tex]25x+15y\geq 1975[/tex]

Now, it is given that the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. So, this gives the inequality,

[tex]y\leq 4x[/tex]

Next, it is given that Beth will wash at least 50 cars. So,

[tex]y\geq 50[/tex]

Lastly, as the number of lawns mowed can't be negative, so

[tex]x\geq 0[/tex]

Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .

Step-by-step explanation:

Since we have given that

Distance he covered by swimming = 25 yards

Time taken by him = 3 seconds

[tex]\text{Speed of his swimming} =\frac{Distance}{Time}\\\\ \text{Speed of his swimming} =\frac{25}{3}[/tex]

Now, if he covers 200 yards , the change of time will be

[tex]\text{Time taken}=\frac{Distance}{Speed}\\\\\text{Time taken}=\frac{200}{\frac{25}{3}}\\\\\text{Time taken}=\frac{200\times 3}{25}\\\\\text{Time taken}=8\times 3\\\\\text{Time taken}=24 seconds[/tex]

Hence, he takes 24 seconds which represents change in time of his personal best after 200 yards .

The domain is all real numbers

The range is y<= 4

Choice C

Answer:

The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Step-by-step explanation:

The function is given to be :

f(x) = -(x + 3)(x - 1)

Domain : It is defined as a set of all points for which the function is real and defined.

Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :

Domain : All real numbers

Range : It is defined as a set of all values of dependent variable for which the function is defined.

Now, To find range of the given function :

As seen from the graph, the maximum value of the function is at (-1,4)

So, The range consists of all the values less than or equal to 4

⇒ Range : All real numbers less than or equal to 4

Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, 1) and (4, 7). Substitute:

[tex]m=\dfrac{7-1}{4-2}=\dfrac{6}{2}=3[/tex]

[tex]\boxed{y-1=3(x-2)}[/tex]      point-slope form

[tex]\boxed{y=3x-5}[/tex]      slope-intercept form

[tex]\boxed{3x-y=5}[/tex]      standard form

The Equation i did for this is  930 + -220= 710, I did a Negative on 220 is Because The Text States that it is "under" The Sea level.

The height of the lava that is measured from the sea level will be 710 feet.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward.

The height of the lava that is measured from the sea level will be given as the difference between the numbers 930 ft and 220 ft.

⇒ 930 - 220

⇒ 710 feet

The height of the lava that is measured from the sea level will be 710 feet.

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The formula of a midpoint:

[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]

We have:

[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]

Substitute:

[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]

Answer:

The answer is

Step-by-step explanation:

In the attachment!

Answer:

The appropriate measure is cm/day.

Step-by-step explanation:

The best unit to measure the height of a plant = cm.

The best measure for time is day.

Rate refers to the ratio between units. Mostly, the difference in some unit when time passes.

She can measure the height of the plant in each day.

Hence, the appropriate unit for Dalla is cm per day.

Answer:

We have to find the growth rate of certain Patch of ground, which is covered by certain plant.

As, the branches of Herb patch plant can't grow more than 150 cm.

The difference in height can't be calculated on daily basis.It should be calculated either in a duration of three to four days ,or in a week.

Now, if you look branches of plant it occupies some space,that is area it's unit should be either Square cm or Square meter.

So, the appropriate unit to measure the growth rate will be

[tex]1.\frac{cm^2}{\text{3 or 4 day}}\\\\ 2.\frac{cm^2}{\text{1 Week}}[/tex]

or

[tex]1.\frac{m^2}{\text{3 or 4 day}}\\\\ 2.\frac{m^2}{\text{1 Week}}[/tex]

C. 16 is the answer.

Answer:

The given equation which is in two variable is

 ⇒2 x + y =9

As we know that to get a unique solution you need two intersecting lines.

But here only one line is given.

On a single line there lie infinite number of points.

So, for different values of x we get different values of y or different values of y we get different values of x.

So , we can write the above equation as

either ⇒y=9-2 x Or x=9-2 y

I have drawn graph for you.

Thus , there are infinite number of solution of this equation. Like (0,9),(1,7),(2,5),(-2,13),(-1,11),(-3,15)......

You can say -17.9+(-4.2)

2.7 cm per second. Because it’s 161 divided by 60

It would be 3 cm per second. You need to divide the 161 cm/min by 60 (60 sec + 1 min) 161 / 60 = 2.68333.., which is rounded to 3 cm/sec.

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = [tex]\frac{105+x}{150+x} =85%[/tex]

Simplify to get

[tex]\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150[/tex]

Hence answer is 150 oz should be added.

Answer: The relative change from Bloomington to Kokomo  is $ 93

Step-by-step explanation:

Since, the price of Bloomington = $ 747

And, the price of Kokomo = $ 654,

Thus, the relative changes in the price of Bloomington to Kokomo

= The price of Bloomington - the price of Kokomo

= 747 - 654

= 93

Hence the required relative change from Bloomington to Kokomo is $ 93.

The relation that is a function is that represented in the fourth graph. y = 2IxI

You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.

In other words, if we have two sets P and M.

A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.

To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.

By doing this test you will verify that only the fourth image represents the graph of a function.

Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.

x+90=4x

90=3x

x=30

Answer:

Step-by-step explanation:

Observe that (x + 90)° and 4x° are verticle angles.

By definition, those angles are equal, taht is

[tex]x+90=4x[/tex]

Then, we solve for [tex]x[/tex]

[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]

Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.

70% = 0.7

3/4 = 0.75

0.6 = 0.6

2/3 = 0.667

In order from smallest to greatest:

0.6, 0.667, 0.7, 0.75 =

0.6, 2/3, 70%, 3/4

Therefore the smallest is 0.6