What is |-x| >(less than or equal to) 3

The fraction which is closest to 1/2 is, 3/8. So option B is correct

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

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The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer:

They need to sell 1,600 pens to break even

Step-by-step explanation:

Set the profit equal to the cost by making 2 equations:

0.8p = 1200 + 0.05p

0.75p = 1200

p = 1600

They need to sell 1,600 pens to break even.

\(

6+5\sqrt{249}-2x=7 \\

-2x=7-6-5\sqrt{249} \\

-2x\approx-77.9 \\

x\approx\frac{-77.9}{2}\approx38.95

\)

Hope this helps.

Answer:

Ellen have left 56 glasses to wash.

Step-by-step explanation:

Given that:

Number of glasses to be washed = 175

Percentage of glasses Ellen washed = 68%

Number of glasses Ellen washed = \(\frac{68}{100}*175\)

Number of glasses Ellen washed = 119

Number of glasses left = Total glasses - Number of glasses washed

Number of glasses left = 175 - 119 = 56

Hence,

Ellen have left 56 glasses to wash.

When the foreign currency is the functional currency, FASB ASC 830-30-45-3 offers guidelines on how to report the translation adjustment for a foreign subsidiary. It specifies that the translation adjustment shall be included in cumulative other comprehensive revenue.

As per the question given,  

There are multiple sections in the FASB Accounting Standards Codification that address accounting for translation adjustments. One relevant section is ASC 830-30-35-2, which states that the cumulative translation adjustment should be reported in accumulated other comprehensive income (AOCI) as a separate component of equity. The section also provides guidance on how to reclassify amounts from AOCI to net income in the event of a partial or complete disposal of the foreign subsidiary.

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Answer:

  54 yd²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its faces. Opposite faces have the same area, so we can write the formula as ...

  SA = 2(LW +WH +LH) = 2(LW +H(L +W))

Filling in the numbers, we have ...

  SA = 2(6·3 +1(6 +3)) = 2(18 +9) = 54 . . . . square yards

The area is 54 square yards.

Answer:

C.

Step-by-step explanation:

We need to apply Mean Value theorem here.

We just need to calculate the average rate of change for each interval.

A) x=0 to x=4

We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.

(8-0)/(0-4)

8/-4

-2

Not this choice

B) x=4 to x=8

We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.

(2-0)/(8-4)

2/4

1/2

Not this choice

C) x=8 to x=12

We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.

(10-2)/(12-8)

8/4

2

This one works.

D) x=12 to x=16

We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.

(1-10)/(16-12)

-9/4

The table is an illustration of mean value theorem

\(\mathbf{f'(c) =2}\) on the interval (8,12)

If a function is differentiable, then:

\(\mathbf{f'(c) =\frac{f(b) - f(a)}{b - a}}\)

(a) (0,4)

This gives

\(\mathbf{f'(c) =\frac{f(4) - f(0)}{4 - 0}}\)

\(\mathbf{f'(c) =\frac{f(4) - f(0)}{4}}\)

From the table, we have:

\(\mathbf{f'(c) =\frac{0 - 8}{4}}\)

\(\mathbf{f'(c) =\frac{- 8}{4}}\)

\(\mathbf{f'(c) =-2}\)

(b) (4,8)

This gives

\(\mathbf{f'(c) =\frac{f(8) - f(4)}{8 - 4}}\)

\(\mathbf{f'(c) =\frac{f(8) - f(4)}{4}}\)

From the table, we have:

\(\mathbf{f'(c) =\frac{2-0}{4}}\)

\(\mathbf{f'(c) =\frac{2}{4}}\)

\(\mathbf{f'(c) =\frac{1}{2}}\)

(c) (8,12)

This gives

\(\mathbf{f'(c) =\frac{f(12) - f(8)}{12 - 8}}\)

\(\mathbf{f'(c) =\frac{f(12) - f(8)}{4}}\)

From the table, we have:

\(\mathbf{f'(c) =\frac{10-2}{4}}\)

\(\mathbf{f'(c) =\frac{8}{4}}\)

\(\mathbf{f'(c) =2}\)

Hence, \(\mathbf{f'(c) =2}\) on the interval (8,12)

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principal=$1900

rate =13.6 %

simple interest= $35

Time=?

SIMPLE INTEREST ={PRINCIPAL×RATE×TIME}/{100}

$35= \({$1900 ×13.6× TIME}{100} /\)

$35×100=25840× TIME

TIME=\(\bold\frac{ 3500}{25840}\)

TIME=\( 700/5168 \)

TIME=\({\tt{\green{\underline{\underline{\huge{0.1354489164}}}}}}\) years

sorry I can't solve wrong answer

Answer:quadratic formula

Step-by-step explanation:

Answer:

Completing the square.

Step-by-step explanation:

x^2-8x+(-4)^2=22 can be rewritten as (x-4)^2=22. therefore, the best method would be completing the square.

The number is 48.

Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.

According to the given information, the units digit is twice the tens digit. So we have the equation:

y = 2x

If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.

Therefore, we can write the equation as:

2(10x + y) = 10y + x + 12

Simplifying this equation, we get:

20x + 2y = 10y + x + 12

19x = 8y + 12

19x - 8y = 12

We have two equations now:

y = 2x

19x - 8y = 12

Substituting the value of y from the first equation into the second equation, we get:

19x - 8(2x) = 12

19x - 16x = 12

3x = 12

x = 4

Now we can substitute the value of x back into the first equation to find y:

y = 2x

y = 2(4)

y = 8

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The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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The solution set is {(x, y) | x = y + 2}, which represents a straight line with a slope of 1 passing through the point (2, 0).

Therefore, the correct answer is option 2, infinite solutions.

Equations of the form ax2 + bx + c = 0, where a, b, and c are real numbers, and a 0, are known as polynomial equations in the variable x. Any equation that has the formula p(x) = 0, where p(x) is a polynomial of degree 2 with a single variable, is actually a quadratic equation.

The equation has the following form: ax2 + bx + c = 0, where x is the unknown variable and a, b, and c are constants, with "a" not equal to 0.

Numerous strategies, including factoring, completing the square, and the quadratic formula, can be used to solve quadratic equations.

To solve the system of equations:

x - y = 2 ---(1)

-3x + 3y = -6 ---(2)

We can use the first equation to isolate x in terms of y:

x = y + 2

-3(y + 2) + 3y = -6

Simplifying the equation, we get:

-3y - 6 + 3y = -6

Solving for y, we get:

0 = 0

For all values of y this equation is true-

So,the equations has infinite solutions.

To find the solution set, we can substitute the value of y into the expression for x:

x = y + 2

x = y + 2, for all values of y

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Answer:

Mean: 8.25

Step-by-step explanation:

*I used a calculator*

The Direction Angle Of The Given Vector is θ = 59.086

Given :

The Direction Angle Of The Given Vector. V <-3,5) Give Your Answer In Degrees In The Interval [0°, 360°). round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.

what is Direction angle of vector ?

The direction angle of a vector v is the angle from the positive x -axis to v .using the arc tangent of the ratio of the vertical component of the vector and the horizontal component of the vector.

tan θ = b / a

= 5 / -3

= -5 / 3

= 1.67

θ = tan^-1 ( 1.67 )

θ = 59.086

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Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A Chi-square test is used to test the test of independence between rows and columns, contingency tables. It is a test related to frequencies. The observed frequency is a given statistical frequency known as the actual frequency,  the expected frequency is known as the theoretical frequency is derived from the study by using the sum total of the row and total in the column divided by their corresponding sample size.

Probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.

What is probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

To find the probability that fewer than 70 in a random sample of 400 households are watching the series on a regular basis, we can use the binomial distribution.

The probability of observing x successes in a sample of size n with probability p of success is given by the following formula:

\(P(x) = (n choose x) * p^x * (1 - p)^(n-x) \\\)

In this case, we can set n = 400, p = 0.2, and x = 70. Plugging these values into the

gives us:

P(x < 70) = P(x = 0) + P(x = 1) + ... + P(x = 69)

To calculate P(x = 0), P(x = 1), etc., we can use a loop in Excel to calculate the probability for each value of x from 0 to 69.

The probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is then given by the sum of these probabilities.

Rounding to four decimal places, the probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.

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Answer:

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 13

and the lengths of the legs are 5 and x.  ansswer is 12

Answer:

AB = 18

Step-by-step explanation:

Oh man these are so much fun!

So for the angles:

A + B + C = 180 deg

And the sides:

Well, we don't know yet

Let's solve for x:

Since all the sides are equal (and there are three sides) we can do 180 / 3 to find each angle. So, each angle is 60 deg

6x = 60

Divide both sides by 6:

x = 10

Now for the sides:

x + 8 = BC

10 + 8 = BC

BC = 18

Since all the sides are equal, AB = 18 as well!

We are given some numbers and asked to find the greatest. We can see that all of them have a dot '.', which represents the decimal point.

To find the greatest number, we will first forget about the numbers that are on the right of the decimal point. We would get the list

A. 3

B 0

C 32

D 0

Out of this list, we find the greatest number, which is 32. That means that the number that is option C (32.5) is the greatest of the original list. That means option C is the correct answer

Answer: 95x

Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)

Add 7 and 10.

5x(17-2+4)

Add 15 and 4.

5x multiped by 19

Multiply 19 by 5

95x

The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.

Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.

Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:

ΔT = R - r

Where:

If we know that r = 109 °F and R = 132 °F, then the temperature difference is:

ΔT = 132 °F - 109 °F

ΔT = 23 °F

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¿*=£×**€×¿¿==£÷€=4÷54

The range of the function is y = {11, 13, 17, 25}.

In mathematics, the range of a function refers to the set of all possible output values that the function can produce when given a set of input values. It is also known as the image of the function. The range of a function can be found by evaluating the function for all possible input values, or by analyzing the properties of the function.

To find the range of the function, we need to substitute each value of the domain into the function and record the corresponding output values.

For x = 2, f(2) = 2(2) + 7 = 11.

For x = 3, f(3) = 2(3) + 7 = 13.

For x = 5, f(5) = 2(5) + 7 = 17.

For x = 9, f(9) = 2(9) + 7 = 25.

Therefore, the range of the function is y = {11, 13, 17, 25}.

The answer is A. y = {9, 10, 12, 16} is not the correct range for this function with the given domain.

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Answer:

See below

Step-by-step explanation:

| -5| = 5  

| 5 | does not equal - 5

The sum of the first 20 terms of the Arithmetic sequence is 1490

The first is 27

The common difference is 5

n= 20

The first 20 terms can be calculated as follows

Sn= n/2[2a+(n-1) d]

S20= 20/2(2×27 + (20-1) 5

S20= 10(54 + 95)

S20= 10(149)

S20= 1,490

Hence the sum of the first 20 terms is 1490

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