Circle A has area 500 in2. The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B.

Answer:

|-----|-----|-----|-----0-----|-----|     |------|------|------|------|------0------|-----|

0  1/6 2/6 3/6 4/6 5/6  1     0    1/7   2/7  3/7  4/7  5/7  6/7   1

Step-by-step explanation:

since 4/6 means the fourth one of the 6 spots, we can just make a number line that is split into 6 parts and find the fourth line. we do the same thing with seven to get the answers above

Final answer:

To show 4/6 and 5/7 on a number line, mark 42 equal sections between 0 and 1, and place 4/6 at the 28th mark and 5/7 at the 30th mark, as they equate to 28/42 and 30/42 respectively.

Explanation:

To show 4/6 and 5/7 on a number line, you would follow these steps:

Both 4/6 and 5/7 will be placed between 0 and 1 on the number line, with 4/6 slightly to the left of 5/7.

I also need help with this too so I'm just here to wait and see the answer

The speed is the distance covered by an object at a particular time. The speed at which the fisherman travels in still water is 11 mph.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Let the speed of the boat be represented by x mph.

A fisherman travels 8 miles downstream with the current at the same time that he travels 3 miles upstream against the current. Also, the speed of the current was 5 mph. Therefore,

8 miles/ (x + 5)mph = 3 miles/(x - 5) mph

8x - 40 = 3x + 15

5x = 55

x = 11 mph

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Answer:

see explanation

Step-by-step explanation:

Given f(x) = - 20x² + 23x - 6

To find the zeros set f(x) = 0, that is

- 20x² + 23x - 6 = 0 ( multiply through by - 1 )

20x² - 23x + 6 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 20 × 6 = 120 and sum = - 23

The factors are - 15 and - 8

Use these factors to split the x- term

20x² - 15x - 8x + 6 = 0 ( factor the first/second and third/fourth terms )

5x(4x - 3) - 2(4x - 3) = 0 ← factor out (4x - 3)

(4x - 3)(5x - 2) = 0

Equate each factor to zero and solve for x

4x - 3 = 0 ⇒ 4x = 3 ⇒ x = [tex]\frac{3}{4}[/tex]

5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]

Answer:

-(4x - 3)(5x - 2) = 0

Step-by-step explanation:

Answer:

The correct answer option is [tex]r^2-6rsin(\theta)=8[/tex].

Step-by-step explanation:

We are given the following equation and we are to rewrite it in polar form:

[tex]x^2 + y^2 - 6y - 8 = 0[/tex]

[tex]\left \{ {{x^2+y^2=r^2} \atop {y=rsin \theta}} \right.[/tex]

Here, we need to make a perfect square trinomial:

[tex][r^2-6rsin(\theta)+[/tex] ___[tex]^2]=8[/tex]

[tex]6rsin(\theta)[/tex] ---> [tex]2 .r.3.sin \theta[/tex]

Completing the square to get:

[tex]r^2-6rsin(\theta)+[3sin(\theta)]^2-[3sin(\theta)]^2=8[/tex]

[tex][r-3sin(\theta)]^2=8+[3sin(\theta)]^2[/tex] --> [tex][r-3sin(\theta)]^2=8+9sin^2(\theta)[/tex]

[tex]r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}[/tex] --> [tex]r=\sqrt{8+9sin^2(\theta)} +3sin(\theta)[/tex]

the correct answer is B. r^2=6r sin 0+8

Answer:

rational

Step-by-step explanation:

any number that can be written as a fraction is rational, it is also a termintating decimal.

Answer:   rational

Step-by-step explanation:

[tex]\dfrac{1}{4}=0.25\\\\\text{Since the decimal terminates (ends), it is a rational number.}[/tex]

the carpet is rectangular, thus its area is simply the product of its two dimensions, namely 8*6 = 48 m².

how much is the shaded area?  well, since it's also rectangular, its area is also that product of 2*2 = 4, recal is a square so length = width = 2.

[tex]\bf \stackrel{\textit{how many times does 48 go into 4?}}{\cfrac{shaded}{total~area}\qquad \cfrac{4}{48}\implies \stackrel{simplified}{\cfrac{1}{12}}}[/tex]

Answer:

The profit function would be p(x) = 7x - 20

Step-by-step explanation:

In order to find this, start by listing just as asked.

p(x) = r(x) - c(x)

Now input the functions where indicated

p(x) = 12x - (5x + 20)

p(x) = 12x - 5x - 20

p(x) = 7x - 20

Answer:

The value of [tex]p(x)=-5x-8[/tex]

Step-by-step explanation:

Given : The revenue from selling x shirts is [tex]r(x)=12[/tex]. The cost of buying x shirts is [tex]c(x)=5x+20[/tex]. The profit from selling x shirts is [tex]p(x)=r(x) - c(x)[/tex].

To find : What is p(x)?

Solution :

The revenue from selling x shirts is [tex]r(x)=12[/tex].

The cost of buying x shirts is [tex]c(x)=5x+20[/tex].

The profit from selling x shirts is [tex]p(x)=r(x) -c(x)[/tex]

Substitute the values in the formula,

[tex]p(x)=12 -(5x+20)[/tex]

[tex]p(x)=12 -5x-20[/tex]

[tex]p(x)=-5x-8[/tex]

Therefore, The value of [tex]p(x)=-5x-8[/tex]

Answer:

[tex]V=12\ ft^{3}[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem

[tex]P*V=k[/tex]

step 1

Find the value of K

For [tex]P=24\ psi ,V=15\ ft^{3}[/tex]

substitute

[tex]24*15=k[/tex]

[tex]k=360[/tex]

the equation is [tex]P*V=360[/tex]

step 2

For [tex]P=30\ psi ,V=\ ft^{3}[/tex]

substitute in the equation

[tex](30)*V=360[/tex]

[tex]V=360/30=12\ ft^{3}[/tex]

Using Boyle's law, which states volume and pressure of a gas at constant temperature are inversely proportional, we find that at a pressure of 30 pounds per square inch, the volume will be 12 cubic feet.

The concept behind your question involves Boyle's law, which states the volume of a given amount of gas held at constant temperature is inversely proportional to the pressure under which it is measured. This means as pressure increases, volume decreases and vice versa while maintaining the same temperature.

To solve this, we can use the mathematical expression for Boyle's law: P₁V₁ = P₂V₂.

Where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume. Applying these values: 24 pounds per square inch * 15 cubic feet = 30 pounds per square inch * V₂. By rearranging the equation and solving for V₂, we get: V₂ = (24 pounds per square inch * 15 cubic feet) / 30 pounds per square inch = 12 cubic feet.

Therefore, when the pressure is 30 pounds per square inch, the volume will be 12 cubic feet.

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Answer:

2/5

Step-by-step explanation:

it is 2/5

Probability = 12/25 or 48%.

To find the probability that a number chosen at random from the positive, even integers from 2 to 50 is divisible by 3 or 8, we need to count the number of even integers within this range that are divisible by 3 or 8, and then divide this count by the total number of even integers in the range.

First, let's find how many even integers between 2 and 50 are divisible by 3.

The even integers divisible by 3 in this range are: 6, 12, 18, 24, 30, 36, 42, 48.

Count: 8

Now, let's find how many even integers between 2 and 50 are divisible by 8.

The even integers divisible by 8 in this range are: 8, 16, 24, 32, 40, 48.

Count: 6

Notice that 24 and 48 are counted twice because they are divisible by both 3 and 8. We only want to count them once.

So, the total count of even integers between 2 and 50 that are divisible by 3 or 8 is 8 (from being divisible by 3) + 6 (from being divisible by 8) - 2 (counting 24 and 48 once) = 12.

Now, we calculate the total number of even integers between 2 and 50:

Total even integers between 2 and 50 = (50 - 2) / 2 + 1 = 25

Now, we can calculate the probability:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

            = 12 / 25

            = 0.48

So, the probability that a number chosen at random from the positive, even integers from 2 to 50 is divisible by 3 or 8 is 0.48.

Answer:

The value of x is [tex]58\°[/tex]

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

so

In this problem

[tex]51\°=\frac{1}{2}(160\°-x\°)[/tex]

solve for x

[tex]102\°=(160\°-x\°)[/tex]

[tex]x=160\°-102\°=58\°[/tex]

B is the answer hope this helps!

B) is the answer, my reasoning is that A) is 2n - 15 and four tenths which is the wrong way around , C) is just nonsense and D) is n multiplied by 15 and four tenths take away 2 which is also wrong , as that would be n x 13 and four tenths , hope this helps :)

Answer:

F

Step-by-step explanation:

The solution to the given inequality is [tex]b\leq 1.7[/tex]

From the question, we to determine the solution to the inequality.

To determine the solution of the inequality, we will determine the value of the variable. The variable in the given question is b.

The inequality can be solved as shown below.

[tex]\frac{7}{2} \geq b + \frac{9}{5}[/tex]

Multiply through by 10

That is,

[tex]10 \times \frac{7}{2} \geq 10\times b + 10\times \frac{9}{5}[/tex]

This becomes

[tex]5 \times 7 \geq 10b + 2 \times 9[/tex]

[tex]35 \geq 10b + 18[/tex]

Now, subtract 18 from both sides

[tex]35 - 18\geq 10b + 18-18[/tex]

[tex]17 \geq 10b[/tex]

This becomes,

[tex]10b \leq 17[/tex]

Divide both sides by 10

[tex]\frac{10b}{10} \leq \frac{17}{10}[/tex]

[tex]b\leq 1\frac{7}{10}[/tex]

OR

[tex]b\leq 1.7[/tex]

Hence, the solution to the given inequality is [tex]b\leq 1.7[/tex]

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True

A linear recurrence relation involving a sequence of numbers [tex]a_n[/tex] is one of the form

[tex]\displaystyle\sum_{k=0}^nc_{n-k}a_{n-k}=c_na_n+c_{n-1}a_{n-1}+\cdots+c_2a_2+c_1a_1=c[/tex]

where [tex]c_1,c_2,\ldots,c_n[/tex] and [tex]c[/tex] are any fixed numbers.

The given recurrence can be rearranged as

[tex]a_n=a_{n-1}+2\implies 1\cdot a_n+(-1)\cdot a_{n-1}=2[/tex]

A nonlinear recurrence would have a more "exotic" form that cannot be written in the form above. Some example:

[tex]a_n+\dfrac1{a_{n-1}}=1[/tex]

[tex]a_na_{n-1}=\pi[/tex]

[tex]{a_n}^2+\sqrt{a_{n-1}}-\left(\dfrac{a_{n-2}}{\sqrt{a_n}}\right)^{a_{n-3}}=0[/tex]

The query pertains to 'linear recurrence relations' in Mathematics, particularly concerning high school algebra and series expansions, such as the binomial theorem, and plotting data on a logarithmic scale.

The term linear recurrence relation refers to a sequence of numbers where each term is a linear combination of previous terms. The relationship is defined by two aspects: the number of terms that go into the combination (order of the relation), and the coefficients of each of those terms. A classic example of a linear recurrence relation is the Fibonacci sequence, where each term is the sum of the two preceding terms.

When addressing series expansions like the binomial theorem, it is an expression that allows us to expand polynomials raised to a power in a series format. The theorem is a key concept in algebra and is particularly useful for calculating powers of binomials and deriving coefficients of individual terms within expanded polynomials.

To plot data like the recurrence interval on a logarithmic scale, it is essential to understand that each increment on the axis represents a multiplication by a certain factor, rather than a linear addition. This type of representation is particularly useful when dealing with data that varies by orders of magnitude.

Answer:

428,820,000 pounds

Step-by-step explanation:

The amount of garbage is number of person times the amount produced by each person. Thus, we have:

Amount of Garbage (in pounds) = 2.61 × 10^5 * 1.643 × 10^3

Note: We multiply 2.61 and 1.643, which is 4.28823 & multiplying 10^5 and 10^3 is 10^(5+3) = 10^8

Thus, we have 4.28823 * 10^8 = 428,823,000 pounds

This is approximately 428,820,000 pounds, last answer choice.

Answer:

Other answer is correct, confirmed on E2020

Step-by-step explanation:

Answer:

639

Step-by-step explanation:

put the 71 on the top then the 9 on the bottom then 9x1=9 then 9x7=63

639!

Answer:

#6.  36    #30. 24

Step-by-step explanation:

6. You add 7+29=36 so 36 is the missing number

60 people claimed they they got at least eight hours of sleep.

Answer:

Step-by-step explanation:

We know that 30 people claimed that they get an average of seven hours of sleep. Using the circular diagram, we find that these 30 people represent 25% of the total number of people.

According to the graph, people that get at least eight hours of sleep each night represent 65%, that is, 50% of the people sleep eight hours and 15% sleep nine or more.

Then, we use the rule of three, if 30 people represent 25% of the total, how many people would represents 65%?

[tex]x=65\%\frac{30 \ people}{25 \%} = 78 \ people[/tex]

Therefore, 78 people claimed that they get at least eight hours of sleep each night.

Answer:

1/6

Step-by-step explanation:

If we're assuming that this is a six-sided die, then we can find that the results can be 1,2,3,4,5,6. Only 1 of those 6 numbers are 5, so the probability of the cube landing on 5 would be 1/6.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Probability is measured as

[tex]\frac{favourableoutcome}{count}[/tex]

The favourable outcome is obtaining roll > 4, that is a 5 or 6

P( > 4 ) = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

The figure obtained is a cylinder

The exact surface area is 1440π.

Step-by-step explanation:

* Lets study the rotation of a rectangle around one of its sides

- If the dimensions of the rectangle are length (L) and width (W)

- If we rotate the rectangle around its length (L), we will construct

 a cylinder with radius = W and height = L

- If we rotate the rectangle around its width (w), we will construct

 a cylinder with radius = L and height = W

∵ The surface area of any cylinder =

   perimeter of base × height + 2 base area

∵ The base is a circle

∴ perimeter base = 2πr and base area = πr²

∴ The surface area = 2πrh + 2πr²

* In first case:

- Surface area = 2π(W)L + 2π(w)² = 2πWL + 2πW²

* In second case:

- Surface area = 2π(L)W + 2π(L)² = 2πLW + 2πL²

* Now lats check our question:

∵ L = 22 and W = 18

- It will rotate around the largest side

∴ It will rotate around L

∴ The figure obtained is a cylinder

* From the explanation above this is the first case

∵ L = 22 and W = 18

∵ The surface area = 2πWL + 2πW²

∴ The surface area = 2 × 18 × 22 × π + 2 × (18)² × π

                                = 792π + 648π = 1440π

* The exact surface area is 1440π.

Answer:

(C)$62.00

Step-by-step explanation:

$200 x .31 = $62.00

the answer is C it is $62.00

Answer:

1,760

Step-by-step explanation:

A mile is 5280 feet

3 feet in a yard

so     5280/3=1760

your answer is A) 1,760 yards

Answer:

false

Step-by-step explanation:

because it doesn’t have the three complete angles

Answer:

False

Step-by-step explanation:

Answer:

A=54in²

Step-by-step explanation:

Answer:

(x - 7)² + (y - 2)² = 130

Step-by-step explanation:

The first step is finding the length of the radius.

r² = (2 - -5)² + (7 - -2)²

    = 7² + 9²

    = 49 + 81

   = 130

The general equation of a circle is:

(x - a)² + (y - b)² = r²

Where (a, b) is the coordinate of the center and r is the radius.

∴ The equation of the required circle is;

 (x - 7)² + (y - 2)² = 130

Answer:

each section will equal 2.5 miles

Step-by-step explanation:

if you divide 10 from 4 you get 2.5

To divide a 10-mile bike race into four equal sections, we calculate the length of one section by dividing 10 miles by 4, resulting in each section being 2.5 miles long.

The question pertains to the division of a 10-mile bike race into four equal sections. To find the length of each section, we divide the total distance of the race (10 miles) by the number of sections (4). This calculation will give us the length of one section.

10 miles \ 4 sections = 2.5 miles per section.

Thus, each section of the bike race would be 2.5 miles long. This application of division in real-world situations like races and marathons is a fundamental concept in mathematics, allowing participants and organizers to understand and manage distances more effectively.

Answer:

Number 7 is 40

Step-by-step explanation:

set up a proportion 5/1 = x/8 cross multiply a divide and you get 40