In which pair do both decimals represent rational numbers?
O A. 0.296 and 0.9888...
B. 4.462837305718274... and 0.9888
O C. 6.32891237302554... and 0.9888...
D. 6.32891237302554... and 0.296

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

Answer:

Step-by-step explanation:

you just gotta add all the side-lengths together and consider each grid square as 10 instead of 1.

so 70 + 40 + 20 + 60 + 20 + 40 i believe.

this all equals 250.

ask your teacher if its a type, because there's no 250 on there. grab a calculator or something as proof.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

If alpha specialize in growing apples beta specialize in growing oranges the both could gain profit by the trade is true for the statement

Comparative advantage describes a situation in which a person or a country involved in trade processes may not have an absolute advantage, but can still benefit from trade on a comparative basis.

The nations frequently trade goods based on their comparative advantages so that both parties can benefit from trade.

According to the stated information,

Alpha can produce either 18 oranges or 9 apples per hour, while beta can only produce 16 oranges or 4 apples per hour, it is stated.

so ,If alpha specialize in growing apples and beta specialize in growing oranges the both could gain profit by the trade

Hence, option C is true

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Let x be the height of the building

We will first make a sketch

substitute the y-value in the above

x (0.677) = (95.2 + x)0.4834

open the parenthesis

0.677x = 46.01968 + 0.4834x

subtract 0.4834x from both-side of the equation

0.677x - 0.4834x = 46.01968

0.1936x = 46.01968

Divide both-side by 0.1936

x≈ 237.7 ft

Answer:

the answer is (a) the probability that a person will order pie

Answer:

80%

Step-by-step explanation:

16/20 can be simplified to 4/5

4/5 = .8 or 80%

Answer:

2 1/24

Step-by-step explanation:

1. \(\frac{7}{8} * \frac{7}{3}\)

2. \(\frac{7*7}{8*3}\)

3. \(\frac{49}{24}\)

4. \(2 \frac{1}{24}\)

Answer:

B. 46.

Step-by-step explanation:

First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.

Answer:

is he a business man or something

The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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Answer:

3. 273

4. 168

5. 189.25

Step-by-step explanation:

3. Triangle= .5 x 17 x 6 = 21

Rectangle= 18 x 14 = 252

252 + 21 = 273

4. Big rectangle (shaded)= 11 x18= 198

Small rectangle (right)= 5x4=20

Smaller rectangle (left)= 2x5=10

BR - (SR+SMR)

198-30=168

5. radius=5

Area of the circle= 25(pi)

Semi-circle= 39.25(not exact)

Rectangle= 10 x15=150

Rectangle + Semi-circle

150+39.25=189.25

Answer:

If it was starbucks i would get a plant based brekfast sandwich and i iced mocha latte. I f it was like walmart Takis and a gatorade.

Step-by-step explanation:

Please mark me brainliest!!

Answer: Welp give he/she brainliest mate.

Step-by-step explanation:

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Step-by-step explanation:

line equation

we know that the equation on the line is given by y equals MX plus b, where M & B are numbers it's is its slope and b is it's y - intercept.

in order to find the equation we must find m and b.

we are going to use two points where the line crosses, in the figure we can see that it crosses points

(0, 4) and (2,1).

staff one first, we change of each variable from point 1 to point to

then, our equation should look like

y = -3/2x + 4

Answer:

2sqr3, the first option

Step-by-step explanation:

I assume the equation is

\(\dfrac6{x^2+2x-15}+\dfrac7{x+5}=\dfrac2{x-3}\)

Notice that

\(x^2+2x-15=(x+5)(x-3)\)

so to get each fraction to have a common denominator, we need to rewrite

\(\dfrac7{x+5}=\dfrac{7(x-3)}{(x+5)(x-3)}=\dfrac{7x-21}{x^2+2x-15}\)

and

\(\dfrac2{x-3}=\dfrac{2(x+5)}{(x+5)(x-3)}=\dfrac{2x+10}{x^2+2x-15}\)

So we have

\(\dfrac6{x^2+2x-15}+\dfrac{7x-21}{x^2+2x-15}=\dfrac{2x+10}{x^2+2x-15}\)

Combine the fractions and put them on one side:

\(\dfrac{6+(7x-21)-(2x+10)}{x^2+2x-15}=0\)

If x ≠ -5 and x ≠ 3, we can ignore the denominator, leaving us with

\(6+(7x-21)-(2x+10)=0\)

\((6-21-10)+(7x-2x)=0\)

\(-25+5x=0\)

\(5x=25\)

\(x=\dfrac{25}5=\boxed{5}\)

The logarithm expression can be simplified to:

In(6x^9)-In(x^2) =7·ln(6x)

There are some logarithm properties we can use here.

log(a) - log(b) = log(a/b)

log(a^n) = n*log(a)

(these obviously also apply to the natural logarithm)

Now let's look at our expression, it says that:

In(6x^9)-In(x^2)

Using the first rule, we can rewrite this as.

In(6x^9)-In(x^2) = ln(6x^9/x^2)

Now solving the quotient in the argument:

ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)

That is the expresison simplified.

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Answer: 11

Step-by-step explanation:

8 + (10 - 7)

first you would solve the parenthesis, to support the order of operations.

8 + ( 3)

ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"

next you add the eight and the three together

8 + 3 = 11

the total is eleven :)

Hey there!

Do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (10 - 7)

10 - 7 = 3

8 + 3

= 11

Or

8 + (10 - 7 )

8 + 10 - 7

8 + 10 = 18

18 - 7

= 11

Answer: 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A polynomial of degree 4 in factored form with zeros 1, -4, 0, and 6 is

f(x) = x(x - 1)(x + 4)(x - 6).

Given:

x₁ = 1

x₂ = -4

x₃ = 0

x₄ = 6

Utilize the fact that x - b is a factor of the polynomial if b is a root.

Simply take each zero, modify its sign, and add an x in front of it to obtain the four factors.

The polynomial is,

f(x) = (x - x₁)(x - x₂)(x - x₃)(x - x₄)

f(x) =  (x - 1)(x - (-4))(x - 0)(x - 6)

     = (x - 1)(x + 4(x)(x - 6)

Therefore,a 4 degree polynomial in factored form with zeros 1, -4, 0,and 6 is x(x - 1)(x + 4)(x - 6).

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The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Answer: (80+90+z)/3=90

Step-by-step explanation:

Answer:

(80+90+x) /3 =90

Step-by-step explanation:

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

$30.00

Step-by-step explanation:

The original price of the sweater is $75.00.  The new sale price is the original price of  100% less  60% of the original price.  That means the sales price is 40% of the original price.

You can do this 2 ways:

1.  $75 x 60% or .60 = $45

  $75-45 = $30

or

2.  $75 x 40% or .40 = $30