length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *​

Answer:

Step-by-step explanation:

mabey its c

The equation which is equivalent to \(2^{\frac{2}{3} }\) will be equal to \(\sqrt[4]{2^3}\). Hence, option C is correct.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

\(2^{\frac{2}{3} }\) = 1.68

Now, let's check the options,

A.

\((2^{\frac{1}{4} } )^{\frac{1}{2} }\) = 1.09 ≠ 1.68, hence this is incorrect.

B.

\(2\frac{1}{4}*2\frac{1}{2}\) = 9/4 × 5/2 = 5.625 ≠ 1.68, hence, this is incorrect.

C.

\(\sqrt[4]{2^3}\) = 1.68 = 1.68, hence, this is correct.

D.

√8 = 2.82 ≠ 1.68, hence, this is incorrect.

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Carol should decide on the average of the two anticipated numbers. She must thus decide to select  \(\frac{13}{24}\).

Probability is an area of mathematics that examines the possibility that a particular event will occur. In most cases, the probability values for the specified experiment are specified between a range of numbers. The values fall in the range of 0 and 1. A negative number cannot be the probability value. Experimental probability, also known as Empirical probability, is based on actual experiments and adequate recordings of the happening of events. For Alice's number, the anticipated value is \(\frac{1}{2}\) and the expected value of Bob's number is \(0.5*[\frac{1}{2} +\frac{2}{3} ]\). Carol should pick the middle between these two projected figures to increase her chances of winning. She must thus choose \(0.5*[\frac{1}{2} + \frac{7}{12} ]\) = \(\frac{13}{24}\). Alternatively, once we recognize that the answer lies in the interval \((\frac{1}{2},\frac{7}{12} )\), it is straight forward that she has chosen the right number.  

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Given that there is a function f(x), we need to find for what value of x does that function has vertical asymptotes.

The function is

Explanation -

For any function, the vertical asymptotes occur where the denominator is zero but the numberator is not.

Hence, the denominator of the given function will be zero when x = 1 and x = 8

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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The words and numbers are important in this problem are the poster has 2 sides of equal length.

What is an equal length?

Equal length sides indicate that they measure the same. In plain English, the sides of a shape that are equal in length are the sides of the shape. Congruent sides are also described as having equal lengths of each side.

Here, we have

Given: Jon is making a poster for safety awareness week. His poster has 2 sides of equal length.

We have to determine which math words and numbers are important in this problem.

We concluded from the given problem that the important words and numbers are the poster has 2 sides of equal length.

Hence, the words and numbers are important in this problem are the poster has 2 sides of equal length.

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Question 6

\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)

Question 7

\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)

The planes that are parallel in the cube shown would be C. NOR and LMP.

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

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Answer:

A (4, -5)

B (-4, 5)

C (0, -6)

D (-3, -6)

E (3, 0)

PLEASE MARK AS BRAINLIEST

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

Is yellow

Step-by-step explanation:

an open circle for "less than" or "greater than", and a closed circle for "less than or equal to"

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Answer:

-2

Step-by-step explanation:

distribute the 3 first to get:

3a + 4.5 = -1.5

subtract 4.5 from each side to get:

3a = -6

a = -2

Answer:

x=7y+x

Step-by-step explanation:

Isolate x on one side

x-7y=8

 +7y.  +7y

x=7y+8

Hopes this helps please mark brainliest

Answer:

(0.5, -0.5)

Step-by-step explanation:

points = (4, -2) and (-3, 1)

4 -3 / 2 = 0.5

1 - 2 / 2 = -0.5

Answer:

parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters

Step-by-step explanation:

I put three for if u need hope this helps:)

Step-by-step explanation:

Heron's formula when all 3 sides (a, b, c) are given :

s = (a + b + c)/2

A = sqrt(s(s-a)(s-b)(s-c))

in our case

s = (34+73+89)/2 = 98

A = sqrt(98(98-34)(98-73)(98-89)) =

= sqrt(98×64×25×9) = sqrt(98)×8×5×3 =

= sqrt(2×49)×120 = sqrt(2)×7×120 =

= sqrt(2)×840 = 1,187.939392... ≈ 1,188 in²

Answer:

-3y²(-4y³+y-9)​

-9y(-63y-9)

567y-81y

4 8 6 y

Answer:

Step-by-step explanation:

Ranking:

Compound the interest every month instead of every two months.

Increase the interest rate by 1%.

Let the account increase for one more year.

Increase the starting amount by $100.

Calculations:

If the interest is compounded monthly instead of every two months, the final value would be $1,357.36, which is an increase of $9.18 compared to the original value.

If the interest rate is increased to 6%, the final value would be $1,411.58, which is an increase of $63.40 compared to the original value.

If the account increases for one more year at the same interest rate, the final value would be $1,435.09, which is an increase of $86.91 compared to the original value.

If the starting amount is increased by $100, the final value would be $1,421.61, which is an increase of $73.43 compared to the original value.

Answer:

this statement is true because then the triangles will be congruent by rhs axiom

Answer:

\(135^\circ\)

Step-by-step explanation:

Given that, a regular octagon is to be constructed.

To find:

Each angle in the octagon = ?

Solution:

We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).

And a regular quadrilateral (square) has an interior angle of \(90^\circ\).

Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:

\(\dfrac{n-2}{n}\times 180^\circ\)

For an octagon, we have \(n=8\).

Value of Interior angle in a regular octagon:

\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)

Kindly refer to the attached image for the angle of \(135^\circ\)

Answer:

R-1={(2,1),(3,2),(9,3),(5,4)

Step-by-step explanation:

R-1={(2,1),(3,2),(9,3),(5,4) because (- 1) means reverse in relation

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

x = -25

Step-by-step explanation:

Get x by itself by multiplying both sides by 5: 4x = -100

Get x by itself by dividing both sides by 4: x = -25

Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Step-by-step explanation:

 Given the data in the question;

The total number of American Association of Individual Investors in stock market are;

409 + 299 + 291 = 999

The proportion of all AAII subscribers who are bullish on the stock market will be:

Market = 409 / 999

= 0.4094

Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Answer:

43.5%

Step-by-step explanation:

Substitute the original price of $850 and the sale price of $480 to find

amount of discount=850−480=370

Use the amount of discount, $370, to find the discount rate. Use the equation

amount of discount=discount rate×original price.

Rearrange the equation to solve for the unknown value.

discount rate=amount of discountoriginal price

Substitute in the known values and solve to find the discount rate.

370850=0.435=43.5%

Thus, the discount rate on the patio set was 43.5%.

Step-by-step explanation:

at least your answer options are completely mistyped.

the slope in a "y = ..." form is always the factor of x.

so, in

y = x - 3

the factor of x = 1

therefore the slope = 1.