The nth term of a sequence is -5 + n
Work out the 40th term of the sequence.

The given equation, 1/4 = 8x, can be rewritten using powers of 2 as 2^(-2) = 2^3 * x.

To convert the equation into powers of 2, we need to rewrite the numbers 1/4 and 8 as powers of 2.

1/4 can be expressed as 2^(-2) because 2^(-2) is equivalent to 1/2^2, which simplifies to 1/4.

8 can be expressed as 2^3 because 2^3 equals 2 * 2 * 2, which is equal to 8.

Therefore, the equation 1/4 = 8x can be rewritten as 2^(-2) = 2^3 * x.

In this form, both sides of the equation have a common base of 2, which allows us to compare the exponents. The equation now states that the exponent -2 on the left side is equal to the sum of the exponents 3 and 1 (implied) on the right side. This can be simplified to -2 = 3 + 1, which gives us -2 = 4.

Thus, the final answer is -2 = 4.

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The value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

From the question, we are to determine the value of

2(5+34-67/45*43)^2

This can be written as

\(2 (\frac{5+34-67}{45 \times 43 })^{2}\)

First, we will simplify the bracket

\(2 (\frac{-28}{1935 })^{2}\)

Then, we get

\(2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }\)

= \(\frac{1568}{3744225}\)

= \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

Hence, the value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

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Answer:

Step-by-step explanation:

radius r of iron ball r=12/2=6 cm

volume of iron ball=4/3  πr³

=4/3π×6³

=288 π cm³

≈288×3.14

=904.32 cm³

density=7.89gm /cm³(unit not mentioned)

mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg

288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)

Answer:

Here, I graphed this especially for you.

Step-by-step explanation:

Check the attachment.

Answer:

like wise. I too agree with your contribution

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

The image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].

To find the image of an arbitrary vector [xy] under the linear transformation T, we can use the linearity property of T.

Since T is a linear transformation, we have:

\(T([xy]) = T(xv_1 + yv_2)\)

Using the linearity property, we can expand this expression:

\(T([xy]) = xT(v_1) + yT(v_2)\)

Substituting the given values of \(T(v_1)\) and \(T(v_2)\), we get:

T([xy]) = x[-11-9] + y[56]

T([xy]) = [-11x - 9x + 56y]

Therefore, the image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].

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Answer:

3.7 percent fat and 9 percent solids-not-fat.

Step-by-step explanation:

Milk is highly regulated and there is a “standard of identity” for milk, meaning cows' milk cannot include added water and still be called milk.

Answer:

2x2-y=1

4-y=1

-y=1-4

-y=-3

y=3

Step-by-step explanation:

Answer:

3 = 10.50

7 = 24.5

10 = 35.00

Step-by-step explanation:

If this is wrong I am sorry.

Hope this helps

Step-by-step explanation:

This is it. Proportion

if 3 pounds of blue berries cost 10.50

1 pound of blue berries cost 10.50÷3=3.50

Therefore 7 pounds of blue berries cost

3.50 ×7= 24.50

2. Let a be the number of pounds of blue berries you can buy with 35.00

1 = 3.50

a = 35.00

a=35.00÷3.50

a= 10

Therefore, 35.00 is equal to 10 pounds of blue berries.

The volume of the cone is V = 452.4 m³

Given data ,

Let the volume of the cone be represented as V

Now , the value of V is

Let the height of the cone be represented as h

where the value of h = 12 m

Now , the radius of the cone is represented as r

where the value of r = 6 m

On simplifying , we get

Volume of Cone = ( 1/3 )πr²h

where r is the radius of cone

h = height of the cone

V = ( 1/3 )π ( 6 )² ( 12 )

V = 452.4 m³

Hence , the volume is V = 452.4 m³

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Cash was paid for salaries during 2014 was $55,100. These are the formulas for calculating the cash salary received in 2014:

Salary paid in cash = Salary expense in 2014 - Reduction in salary payable

The difference between the balance due for salaries at the end of each year—that is, at December 31, 2013 and December 31, 2014—can be used to determine the decline in salaries payable:

Salaries payable at December 31, 2013, compared to salaries payable at December 31, 2014, are $3,700, $1,800, and $1,900, respectively.

The drop in the balance of salaries payable from 2013 to 2014 indicates that the business paid more compensation than it incurred for the year. As a result, the 2014 salary payments in cash are:

Cash paid for salaries equals salaries paid in 2014 less salaries payable, or $57,000 minus $1,900, or $55,100.

Hence, (A) $55,100 is the correct response.

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Answer:

B=28

Step-by-step explanation:

The required statements "The rate of change of f(x) and g(x) must be opposites" and "The y-intercepts of f(x) and g(x) must be opposites." describe f(x) and g(x) as the original functions.

From the given information, we know that h(x) is the sum of f(x) and g(x), and j(x) is the product of f(x) and g(x).

Therefore, f(x) and g(x) are likely to be linear functions, as the sum of linear functions is linear and the product of linear functions is quadratic.

Additionally, the y-intercepts of f(x) and g(x) could be zero, as this would result in the y-intercept of h(x) being zero as well. The rate of change of f(x) and g(x) must be opposites since the product of two linear functions with the same slope will always result in a quadratic with a negative leading coefficient.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

lenght of the garden: 99 m

Step-by-step explanation:

\(p=2w+2l\)

\(310=2(56)+2l\)

\(310=112+2l\)

\(310-112=2l\)

\(198=2l\)

\(198/2=l=99\)

Hope this helps

The equation for a circle changes when it is translated by shifting the center coordinates. The new center coordinates are obtained by adding the translation values to the original center coordinates.

When a circle is translated "a" units to the right and "b" units down, the equation of the circle undergoes a corresponding change in its center coordinates.

The equation for a circle with center coordinates (h, k) and radius "r" is given by the standard form: (x - h)^2 + (y - k)^2 = r^2.

If the circle is translated "a" units to the right and "b" units down, the new center coordinates will be (h + a, k - b). The translation affects both the x-coordinate and the y-coordinate of the center.

Therefore, the modified equation for the translated circle becomes: (x - (h + a))^2 + (y - (k - b))^2 = r^2.

This equation represents the circle that has been shifted "a" units to the right and "b" units down from its original position. The radius "r" remains the same, as the translation does not affect the size of the circle.

In summary, the equation for a circle changes when it is translated by shifting the center coordinates. The new center coordinates are obtained by adding the translation values to the original center coordinates.

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Answer:

(5,2)

Step-by-step explanation:

midpt coordinates =((x1+x2)/2,(y1+y2/2))

= ((6+4)/2), (7-3)/2)) = (5,2)

Answer:

x= -9.17

Step-by-step explanation:

To solve for x, we can use the information provided about the rectangle to set up an equation. Since opposite sides of a rectangle are congruent (have the same length), we know that MO = NP.

Therefore, we can set up the equation:

-6x + 10 = 65

To solve for x, we can subtract 10 from both sides:

-6x = 55

And then divide both sides by -6:

x = -9.17

The exponential function that describes the amount in the account after time t, in years, can be found using the continuous compound interest formula.  

The continuous compound interest formula is given by the equation A(t) = P * e^(rt), where A(t) represents the amount in the account after time t, P is the principal amount (initial investment), e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years.

In this case, the initial investment is $12,432, the interest rate is 5.7% (or 0.057 as a decimal), and we are interested in finding the exponential function for the amount in the account after time t.

Therefore, the exponential function that describes the amount in the account after time t can be written as A(t) = 12,432 * e^(0.057t). This function represents the growth of the investment over time, where t is the number of years. By substituting different values of t into the function, we can determine the amount in the account at different points in time.

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2,3-DPG is produced in anaerobic respiration in red blood cells and plays a key role in regulating oxygen transport to tissues with high oxygen demands. Option b is the correct answer.

2,3-DPG, also known as 2,3-diphosphoglycerate, is a small molecule that plays an important role in regulating the oxygen-carrying capacity of red blood cells.

It is produced in red blood cells through the process of anaerobic respiration, which occurs in the absence of oxygen. During anaerobic respiration, glucose is broken down into pyruvate, which is then converted into lactate and ATP. As a byproduct of this process, 2,3-DPG is produced in red blood cells.

The production of 2,3-DPG is a crucial adaptation that allows red blood cells to efficiently transport oxygen to tissues with high oxygen demands, such as the brain and heart.

2,3-DPG binds to hemoglobin, the protein in red blood cells that carries oxygen, and decreases its affinity for oxygen. This allows hemoglobin to release oxygen more easily in tissues with low oxygen levels.

Therefore, the correct option is b.

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The probability of getting one even and one odd number when rolling two six-sided, fair dice is 1/4.

To calculate the probability of getting one even and one odd number, we can use the following approach:

So the probability of getting one even and one odd number when rolling two six-sided, fair dice is 1/4 or 0.25.

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Jana's sole day off from work is Friday of the second week. According to the Fair Labor Standards Act, Jana is entitled to overtime pay because she works more than 40 hours per week.

A minimum wage and "time-and-a-half" overtime pay are guaranteed under the Fair Labor Standards Act of 1938, 29 U.S.C. 203 (FLSA), a piece of labor legislation in the United States.

Additionally, it forbids using children for "oppressive child labor."

Jana, for instance, has a two-week timetable.

She puts in nine hours a day, or 8 to 5, throughout the first week of work. She works 8.75 hours per day, Monday through Thursday, from 8 to 4:45 during the second workweek.

The second week's Friday is her only day off from work. Because Jana works more than 40 hours each week, she is entitled to overtime pay under the Fair Labor Standards Act.

Therefore, Jana's sole day off from work is Friday of the second week. According to the Fair Labor Standards Act, Jana is entitled to overtime pay because she works more than 40 hours per week.

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Correct question:

Jana has a two-week work schedule. During week one, she works from 8 to 5, or nine hours a day. During week two, she works Monday through Thursday from 8 to 4:45, or 8.75 hours a day. She does not work at all the Friday of week two. The Fair Labor Standards Act requires that Jana be paid overtime:

A 95% confidence interval for the population mean rating for Miami International Airport is (5.34, 7.16).

To calculate the confidence interval, we can use the following formula:

sample mean ± (t-value)(standard error)

First, we need to calculate the sample mean and standard error. The sample mean is the average of the ratings, which is:

x bar = (4+8+9+10+1+1+1+8+8+8+8+7+6+7+8+8+10+9+1+8+7+8+7+9+8+10+6+4+8+1+1+8+8+7+10+9+7+1+7+5+8+4+1+9+8+9+1+1+7+7)/50 = 6.00

The standard error is the standard deviation of the ratings divided by the square root of the sample size.

Using a calculator or software, we find that the standard deviation is 2.98, so the standard error is:

SE = 2.98/√50 = 0.42

Next, we need to find the t-value for a 95% confidence interval with 49 degrees of freedom. Using a t-table or calculator, we find that the t-value is 2.01.

Finally, we can calculate the confidence interval:

6.00 ± 2.01(0.42) = (5.34, 7.16)

Therefore, we are 95% confident that the population mean rating for Miami International Airport falls between 5.34 and 7.16. This means that if we were to repeat the survey many times, 95% of the resulting confidence intervals would contain the true population mean rating.

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Answer: 81.

Step-by-step explanation: It is given that the side lengths are all 9 feet. Since the bathroom is a square, all the sides of the bathroom are 9 feet. You can use the formula (area = s^2). 9 x 9 is 81.

When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.

The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.

When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.

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Answer:

D. x<=–7

Step-by-step explanation:

An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included. Also to know is, what does an open circle mean?

0.06 is 10 times as much as 0.006.

0.006 times 10 equals 0.06

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"