Use the number line below to calculate 1/2 × 4/6: A number line is shown starting at 0 and ending at 1. The number line is divided into twelfths and the 6th, 8th, and 10th markings after 0 are labeled three-sixths, four-sixths, and five-sixths respectively.


A. 1 12


b. 6 12


C. 16 12


D. 4 12

Multiply the discount percent to the marked price and subtract from the marked price.

As we know that the discount is always given on the marked price of the product.

We will take one example to understand it supposes the marked price of any object is MP= 100 and the discount =15% so to find the SP

First, find the discount amount

\(MP\times Discout \ percent =100\times \dfrac{15}{100} =15\)

Now to find the SP subtract the discount from the MP

\(SP=MP-Discount\)

\(SP=100-15=75\)

So for finding SP multiply the discount percent to the marked price and subtract from the marked price.

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The number of solution the given equation 3(v+2)+v=4(v-1)+9 has is 0 and value of v is not defined

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

We are given that;

The equation 3(v+2)+v=4(v-1)+9

Now, by solving the equation

3v+6+v=4(v-1)+9

Solving the coefficients;

3v+6+v=4v-4+9

4v+6=4v+5

0=5

Therefore, the given equation will have no solution.

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Step-by-step explanation:

In a function, the x factor will not repeat. I does not matter if the y repeats, but the x will not repeat in a true function. for example (2,4) (1,4) (5,9) is a function, but (2,4) (2,1) (5,9) is NOT a function

Answer:

B. The argument is invalid because the conclusion does not follow the premises. Hope this helps!  :)

Step-by-step explanation:

Answer:

228mm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

10 - Answer: y = -5x + 7

11 - Answer: y = 3x/2 −8

Step-by-step explanation:

10 -

The equation of the line in the slope-intercept form is y=4−5x.

The slope of the parallel line is the same: m=−5.

So, the equation of the parallel line is y=−5x+a.

To find a, we use the fact that the line should pass through the given point: 2=(−5)⋅(1)+a.

Thus, a=7.

Therefore, the equation of the line is y=7−5x.

11-

The equation of the line in the slope-intercept form is y=3x2+5.

The slope of the parallel line is the same: m=32.

So, the equation of the parallel line is y=3x2+a.

To find a, we use the fact that the line should pass through the given point: −5=(32)⋅(2)+a.

Thus, a=−8.

Therefore, the equation of the line is y=3x2−8.

Answer:

39

Step-by-step explanation:

multiple 159 by 74% them subtract

The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.

To find the observed z value we have to use the principles to create a formula.

The formula for finding the value of z is

z = ( x - μ)/(σ/√n)

here,

x = sample mean

μ = population mean

σ = standard deviation of the population

n = sample size

for the given question the values are

x = 50

μ = 45

σ = 5

n = 1

staging the values in the formula

z = (50-45)/(5/√1)

z = 1

The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.

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Answer:

I believe that the answer is B

Step-by-step explanation:

If you look at the problem there is a pattern , y always has 10x as much than x

Answer:

RM 600

Step-by-step explanation:

1 unit -> bought for RM 2.50

             sold for RM 3.10

Selling price is higher than buying price, hence a profit is made.

Profit (for 1 unit) = Selling price - Buying Price

                           = RM 3.10 - RM 2.50

                           = RM 0.60

Since Deeni bought 1000 units of stock,

Profit Obtained = 1000 x RM 0.60

                           = RM 600

The problem requires finding the number of ways that seven sprinters can be ordered when they finish the 100-meter dash, with no two of them finishing in the same place.

This is a permutation problem because the order in which the sprinters finish matters. Specifically, the problem asks for the number of permutations of seven items taken three at a time. Using the formula for permutations, we have 7!/(7-3)! = 7x6x5 = 210 ways that the sprinters can finish first, second, and third.

The explanation of the problem is based on the fact that there are 7 possible sprinters who can come in first place, and once the first place has been assigned, there are only 6 sprinters left who can come in second place. Once first and second place have been assigned, there are only 5 sprinters left who can come in third place. Therefore, the total number of ways that the sprinters can finish first, second, and third is the product of the number of choices for each position, which is 7x6x5 = 210.

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The distance in standard index form is 5.8×10⁵.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Given that, the distance between Berlin and Amsterdam is approximately 580,000 m.

Standard form is a way of writing very large and very small numbers so that they are easier to understand and work with. It is also called standard index form or scientific notation. Any number in standard form is written as: A×10ⁿ.

Here, 580,000 = 5.8×10⁵

Therefore, the distance in standard index form is 5.8×10⁵.

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The real root of the equation can be written in the form \(\(a\sqrt{3} + b\sqrt{3} + \frac{1}{c}\)\), where\(\(a = 0\), \(b = 1\),\) and \(\(c = 2\)\). Thus, \(\(a + b + c = 0 + 1 + 2 = 3\).\)

To find the real root of the equation \(\(8x^3 - 3x^2 - 3x - 1 = 0\)\) in the form\(\(a\sqrt{3} + b\sqrt{3} + \frac{1}{c}\)\), we need to perform a bit of algebraic manipulation.

Let's rewrite the equation as:

\(\[8x^3 - 3x^2 - 3x - 1 = 0.\]\)

First, let's divide the entire equation by 8 to simplify it:

\(\[x^3 - \frac{3}{8}x^2 - \frac{3}{8}x - \frac{1}{8} = 0.\]\)

Now, we'll try to factor this cubic equation. We know that one of the factors of this equation will be \(\(x - (\text{root})\)\), where \(\((\text{root})\)\)is the real root we're looking for. To find the root, we can use trial and error or other numerical methods. After some calculations, we find that the real root is \(\(x = \frac{1}{2}\).\)

Now, let's rewrite the cubic equation with the real root factored out:

\(\[x^3 - \frac{3}{8}x^2 - \frac{3}{8}x - \frac{1}{8} = (x - \frac{1}{2})(x^2 + \text{(something)}x + \text{(something else)}) = 0.\]\)

We have factored the cubic equation into a linear factor and a quadratic factor. To find the quadratic factor, we can use polynomial division or any other appropriate method. After performing the division, we find that the quadratic factor is:

\(\[x^2 + \frac{1}{2}x + \frac{1}{4}.\]\)

Now, we need to find the roots of this quadratic equation. Using the quadratic formula:

\(\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a},\]\)

where\(\(a = 1\), \(b = \frac{1}{2}\), and \(c = \frac{1}{4}\).\)Substituting the values, we get:

\(\[x = \frac{-\frac{1}{2} \pm \sqrt{\left(\frac{1}{2}\right)^2 - 4 \cdot 1 \cdot \frac{1}{4}}}{2 \cdot 1}.\]\)

Simplifying further:

\(\[x = \frac{-\frac{1}{2} \pm \sqrt{\frac{1}{4}}}{2} = \frac{-\frac{1}{2} \pm \frac{1}{2}}{2}.\]\)

So, the two roots of the quadratic equation are \(\(x = 0\) and \(x = -\frac{1}{2}\).\)

Now, we can express the real root of the original cubic equation as:

\(\[x = \frac{1}{2} = \frac{1}{2} + 0\sqrt{3} + \frac{1}{2\cdot1}.\]\)

Thus, \(\(a + b + c = 1 + 0 + 2 = 3\)\). Therefore, \(\(a + b + c = 3\).\)

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The complete question is:

The real root of the equation\(\(8x^3 - 3x^2 - 3x - 1 = 0\)\)can be written in the form \(\(a\sqrt{3} + b\sqrt{3} + \frac{1}{c}\),\) where \(\(a\), \(b\), and \(c\)\) are positive integers. Find \(\(a + b + c\).\)

The sequence converges to: lim n→[infinity] an = ln(3) = 1.0986. So the sequence converges to 1.0986.

To determine whether the sequence converges or diverges and find the limit, we'll use the properties of logarithms and the concept of limits at infinity.

Given sequence: a_n = ln(3n² + 4) - ln(n² + 4)

Using the logarithm property, ln(a) - ln(b) = ln(a/b), we can rewrite the sequence as:

a_n = ln[(3n² + 4)/(n² + 4)]

Now, we'll find the limit as n approaches infinity:

lim (n→∞) a_n = lim (n→∞) ln[(3n² + 4)/(n² + 4)]

To evaluate this limit, we can divide both the numerator and the denominator by the highest power of n, which is n^2 in this case:

lim (n→∞) ln[(3 + 4/n²)/(1 + 4/n²)]

As n approaches infinity, the terms with n² in the denominator will approach 0:

lim (n→∞) ln[(3 + 0)/(1 + 0)] = ln(3)

So, the sequence converges, and the limit is ln(3).

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Answer: x=0

Step-by-step explanation:

2x+6=-2x+6

2x+2x=6-6

4x=0

x=0/4

x=0

Answer:

girly

Step-by-step explanation:

I'd tell u to go with c I could be wrong tho but that's my guess and tell me if I got it right okay?

Step-by-step explanation:

the answer is n²

n plus n is 2n

and we have 2n as option b.. pls the answer is 2n

Answer:

x = 4

Step-by-step explanation:

If we plug y in, the equation becomes

6x - 5(2) = 14

6x - 10 =14

6x = 24

x = 4

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

Answer:

linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

you have to subtract 90 from 36

Answer:

I think the answer is twenve

The complete product is:

Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.

As, the length of the painted area is 3 1/5 and width of the painted area is 2/3.

So, multiplication of length and width is as follows:

3 1/5 x 2/3

= 3 x 2/3 + 1/5 x 2/3

= 6/3 + 2 / 15

= 30 + 2 / 15

= 32/ 15

= 2 2/15

Thus, the required fraction is 2 2/15.

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Answer:

q+7=61

soln

Step-by-step explanation:

q=61-7=54answer

Answer:

no solution

Step-by-step explanation:

- 2(v - 2) = - 3 - 2v ← distribute left side

- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )

- 2v = - 7 - 2v ( add 2v to both sides )

0 = - 7 ← not possible

Hope this helps

Answer:

0 solutions

Step-by-step explanation:

\(-2\left(v-2\right)\\-2v-\left(-2\right)\cdot \:2\\-2v+2\cdot \:2\\-2v+4\\-2v+4=-3-2v\\-2v+4-4=-3-2v-4\\-2v=-2v-7\\-2v+2v=-2v-7+2v\\0=-7\\\mathrm{a < 0 = a \neq\:or\: not > 0 = No\:Solution}\)

The height of this prism is equal to 1.5 centimeters.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Substituting the given parameters into the formula for the volume of a rectangular prism, we have;

2.76 = 2.3 × 0.8 × H

Height, H = 2.76/1.84

Height, H = 1.5 centimeters.

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Answer:

( -2,-3 )

x = -2

y = -3

Step-by-step explanation:

Answer:

  coinciding

Step-by-step explanation:

If you divide the second equation by 3, you get the first equation. They describe the same line, so the lines are coinciding.

A paremater is a fixed and unknown numerical value.

Statistic is a charasterisctic of a sample. a known number which depends on the portion of the population.

Answer: Statistic