Arianna squared a number, n, and then multiplied the number by 4. She multiplied a second number, s, by –8 and added the two products. Derrick squared the first number, n, and then multiplied the number by –6. He multiplied the second number by 14 and added the products. Arianna and Derrick added their results. Which of the following represents Arianna's and Derrick's sum?

The decimal value of the floating-point number 110000001111110... is approximately -0.000000015935.

A 32-bit binary number is the floating-point number 010000010110100000... We must interpret its components in accordance with the IEEE 754 standard for single-precision floating-point representation before we can convert it to decimal.

The number's sign is represented by the first bit, which is 0. The number is positive because it is zero.

The exponent is represented by the next eight bits, 10000010 The bias value, which is 127 for single-precision, needs to be subtracted in order to determine the exponent's decimal value. As a result, the value of the exponent is -25: 10000010 - 127.

The binary fractional part is represented by the remaining 23 bits, which are 110100000... Summing the series of 2(-i) for each bit I that is set to 1, we convert the fractional part to a decimal fraction for the purpose of determining its decimal value. The series is as follows, starting with the leftmost bit:

The decimal value of the floating-point number is then calculated as follows: 1/2 + 1/8 + 1/16 + 1/32 = 0.53125.

The floating-point number 010000010110100000... has a decimal value of approximately 0.0000000938776, which is equal to (-1)0 * 1.53125 * 2(-25).

8th Question: The 32-bit binary number 110000001111110... is a floating-point number. Using the same procedure as before:

The number's sign is represented by the first bit, which is 1. The number is negative because it is 1.

The exponent is represented by the next eight bits, 10000011 We get the exponent value of 10000011 - 127 = -24 when we subtract the bias value of 127.

In binary, the fractional part of the number is represented by the remaining 23 bits, which are 111110... Switching it over completely to a decimal division gives us the series:

1/2 plus 1/4 plus 1/8 plus 1/16 plus 1/32 equals 0.96875, so the floating-point number's decimal value is as follows:

The floating-point number 110000001111110... has a decimal value of (-1)1 x 1.96875 x 2 (-24), which is approximately -0.000000015935003662109375.

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Answer:

  $5535.00

Step-by-step explanation:

You want the cost to produce 10 more units if 8 are being produced and the marginal cost function is c'(x) = 0.375x² -x +500.

The cost is the integral of the marginal cost. If we want 10 more units than the 8 being produced, the total cost for those units will be the definite integral of the marginal cost function from 8 to (8+10) = 18.

The attachment shows that integral to have a value of 5535.

The cost to produce 10 more units is $5535.00.

__

Additional comment

Many graphing calculators can do the numerical integration for you. The integral of the function is ...

  C(x) = x³/8 -x²/2 +500x

The cost of interest is C(18) -C(8).

She should allow $4107.2 for her current assignment.

Given is that an interior designer recently spent £1359.55 buying 25 kettles and 20 toasters for a smaller group of new houses. For her current assignment she needs 80 kettles and 56 toasters.

The price of kettle and toaster is same. So, we can write -

25x + 20x = 1359.55

45x = 1359.55

x = 30.2

Therefore, the total cost of 80 kettles and 56 toasters will be -

(80 x 30.2 + 56 x 30. 2)

$4107.2

Therefore, she should allow $4107.2 for her current assignment.

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Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

Answer:

Correct option is C)

Simple interest =

100

3000×6×2

=360

Compound interest =3000(1+

100

6

)

2

−3000=18×20.6=370.8

∴ Difference is Rs.10.8.

you can convert this value to $$

or simply the answer will be 2. $10

(hob-evzw-zjw) come

Answer:

B is your answer.
10.80$ which you just round to 10. 10 is your answer.

Step-by-step explanation:

For simple interest, the formula is:

Simple Interest = Principal × Rate × Time

For compound interest, the formula is:

Compound Interest = Principal × (1 + Rate)^Time - Principal

Let's calculate the values:

Principal = $3,000

Rate = 6% or 0.06

Time = 2 years

Simple Interest = $3,000 × 0.06 × 2 = $360

To calculate compound interest, we need to use the formula:

Compound Interest = $3,000 × (1 + 0.06)^2 - $3,000

= $3,000 × (1.06)^2 - $3,000

= $3,000 × 1.1236 - $3,000

= $3,370.80 - $3,000

= $370.80

The difference between simple and compound interest is:

$370.80 - $360 = $10.80

Answer:

If you input a value of x then we get the output f(x) = y, which is the function of x. This is a function of x. Hence, x² = y is a function of x.

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:15/4 is the answer good luck!

Step-by-step explanation:

Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.

Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.

Here,

Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.

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The statement the area of bottom of round pan is greater than area of bottom of rectangular pan by about 8.5 square inches is correctly describes how the area of the bottom of the round pan compares to the area of the bottom of the rectangular pan.

What is a area of a surface?

In mathematics, the area of a surface refers to the measurement of the size of a two-dimensional region enclosed by a closed boundary or surface. It is typically expressed in square units such as square inches, square meters, or square feet. The concept of area is used in various fields such as geometry, physics, engineering, and many others to calculate the amount of material needed to cover a surface, to determine the capacity of a container, or to estimate the amount of paint required to paint a wall. The formula for calculating the area of a surface varies depending on the shape and complexity of the surface, but typically involves finding the product of two or more dimensions of the surface or using integration techniques in calculus to calculate the area under a curve.

To find the relation we have to find the areas of the pans.

Area of round pan nr 3.14 x 52 78.5 square = 78.5 inches.

Area of the rectangular pan = length x breadth = 10 x 7 = 70 square inches.

Difference between the area of the circular pan from rectangular pan = 78.5 - 70 = 8.5 square inches.

Hence option 1 is the correct answer.

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If sofia has a collection of 200 coins, 40 coins represent 20% of Sofia's collection.

To find out how many coins represent 20% of Sofia's collection, we need to first calculate what 1% of her collection is.

To do this, we can divide the total number of coins by 100:

1% of Sofia's collection = 200 coins ÷ 100 = 2 coins

Now that we know that 1% of her collection is 2 coins, we can find 20% by multiplying 2 by 20:

20% of Sofia's collection = 2 coins × 20 = 40 coins

Therefore, 40 coins represent 20% of Sofia's collection.

To find out what percentage a different number of coins represents, we can use the same method. For example, if we want to know what percentage 30 coins represent, we can divide 30 by 2 (since 2 coins represent 1%), which gives us 15%.

So, 30 coins represent 15% of Sofia's collection.

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Answer:

0.53 hours

Step-by-step explanation:

D = (r)(t), Where

‘D’ is the distance covered

‘r’ is the approach rate

‘t’ is the total time spent

Distance covered, ‘D’ = 4 miles

Approach rate, “r” = 3.5mph + 4mph

r = 7.5mph.

t is unknown

Solving for t,

D = (r)(t)

4 = 7.5t

t = 4/7.5

t = 0.53 hours (to the nearest hundredth)

Therefore, it will take Amanda and Alexis 0.53 hours to meet

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

A z-score of -2 indicates that the sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population.

To answer this question, we need to calculate the z-score of the sample mean. The formula for the z-score is (sample mean - population mean) / standard error.

Plugging in the values given, we get:

z = (80 - 100) / 10 = -2

A z-score of -2 indicates that the sample mean is 2 standard errors below the population mean.

Based on this information, we can conclude that the sample mean does not occur very often by chance in the sampling distribution of means, and probably did not come from the given population.

This is because the z-score is beyond the typical range of values we would expect to see if the sample mean came from the population.

In this case, you have a random sample with a mean of 80, while the population mean is 100, and the standard error is 10.

To calculate the z-score, use the formula: (sample mean - population mean) / standard error, which is (80-100)/10 = -20/10 = -2.

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The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

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The probability that the balls are both white be 1/7.

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Number of black balls = 4

Number of white balls = 3

Total number of balls = 7

Number of ways of picking up a white ball out of 7 balls, P(W) = 3/7

Number of ways of picking up a second white ball ,P(W) = 2/6

Therefore, the probability of picking up 2 white balls

P(WW) = 3/7 \(*\) 2/6 = 1/7

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The differential dy of y = tan(x) is given by dy = sec^2(x) dx. Evaluating dy for x = π/4 and dx = -0.1 gives approximately dy = -0.2005.

To find the differential dy of y = tan(x), we differentiate the function with respect to x using the derivative of the tangent function. The derivative of tan(x) is sec^2(x), where sec(x) represents the secant function.

Therefore, we have dy = sec^2(x) dx as the differential of y.

To evaluate dy for a specific point, in this case, x = π/4 and dx = -0.1, we substitute the values into the differential equation. Using the fact that sec(π/4) = √2, we have:

dy = sec^2(π/4) dx = (√2)^2 (-0.1) = 2 (-0.1) = -0.2.

Thus, evaluating dy for x = π/4 and dx = -0.1 yields dy = -0.2.

Note: The numerical value may vary slightly depending on the level of precision used during calculations.

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We can easily see this by noting that if we multiply this matrix with \underset{x}{\rightarrow}= (x1,x2,x3), we get

|x1 + 2x2 + 3x3|

|4x1 + 5x2 + 6x3|

|7x1 + 8x2 + 9x3|

which to the equation 3x1 + 2x2 + x3 = 0.

A 3x3 matrix for which the kernel is the set of all vectors \underset{x}{\rightarrow}∈ R3 satisfying 3x1 + 2x2 + x3 = 0 is

|1  2  3|

|4  5  6|

|7  8  9|

This matrix has a kernel consisting of all vectors \underset{x}{\rightarrow}= (x1,x2,x3) that satisfy the equation 3x1 + 2x2 + x3 = 0.

We can easily see this by noting that if we multiply this matrix with \underset{x}{\rightarrow}= (x1,x2,x3), we get

|x1 + 2x2 + 3x3|

|4x1 + 5x2 + 6x3|

|7x1 + 8x2 + 9x3|

which to the equation 3x1 + 2x2 + x3 = 0.

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— g equals 4.3

you: but how ⁉

— me: because, 6.1 - 1.8 = 4.3 and 1.8 + 4.3 = 6.1

Answer:

Step-by-step explanation:

1.  x -> opposite side of 48°

   o → hypotenuse

   b → adjacent side of  48°

\(\sf Sin \ 48^\circ = \dfrac{opposite \ side }{hypotenuse}\\\\\\0.7431 = \dfrac{15}{o}\\\\\\0.74 * o = 15\\\\\\ o = \dfrac{15}{0.74}\\\\\\\)

o = 20.27

\(\sf cos \ 48^\circ = \dfrac{adjacent \ side }{hypotenuse}\\\\\\0.67 =\dfrac{b}{o}\\\\\\0.67=\dfrac{b}{20.27}\)

b = 0.67*20.27

b = 13.58

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) i → opposite side of 25°

n → adjacent side of 25°

\(\sf Sin \ 25 =\dfrac{i}{t}\\\\\\0.42=\dfrac{i}{30}\\\\\\0.42*30=i\)

i = 12.6

\(\sf Cos \ 30^\circ =\dfrac{n}{t}\\\\0.91=\dfrac{n}{30}\\\\\\0.91*30 = n\)

n = 27.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3) a → opposite side of 70°

e → adjacent side of 70°

\(Sin \ 70^\circ =\dfrac{a}{l}\\\\0.94 =\dfrac{a}{25}\\\\0.94*25=a\)

a = 23.5

\(\sf Cos \ 70^\circ =\dfrac{e}{l}\\\\0.34=\dfrac{e}{25}\\\\0.34*25=e\)

e = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

4)

\(\sf Sin \ 52^\circ = \dfrac{x}{75}\\\\0.79*75=x\\\)

x = 59.25

\(\sf Cos \ 52^\circ = \dfrac{z}{75}\\\\0.62*75 =z\)

z = 46.5

The linear equations are x + y = 20 and 5.25x + 7.75y = 140. Then the number of child tickets is 6 and the number of adult tickets is 14.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The Pixar Movie Theatre is getting ready to debut the new movie Star Wars: Rogue One.

Felicia’s mom is buying tickets for Felicia’s entire family and must take the following guidelines into consideration.

Each adult and child ticket has a different price value.

Felicia’s mom bought a total of 20 tickets for the family.

Each child ticket costs $5.25 and each adult ticket costs $7.75.

Felicia’s mom spent a total of $140 on all of the tickets.

Let c be the number of child tickets and a be the number of adult tickets. Then we have

c + a = 20 ...1

5.25c + 7.75a = 140 ...2

By solving the equations 1 and 2, we have

c = 6 and a = 14

The number of child tickets is 6 and the number of adult tickets is 14.

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Answer:

\(5\sqrt{2}\)

k = 5

Step-by-step explanation:

Given:

\(\sqrt{50}\)

Rewrite 50 as 25 · 2:

\(\implies \sqrt{25 \cdot 2}\)

\(\textsf{Apply the radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies \sqrt{25}\sqrt{2}\)

Rewrite 25 as 5²:

\(\implies \sqrt{5^2}\sqrt{2}\)

\(\textsf{Apply the radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies 5\sqrt{2}\)

Therefore, k = 5.

Answer:

56 total apples

Step-by-step explanation:

T=(3g+g)*7

T=(3(2)+2)*7

T=(6+2)*7

T=8*7

T=56

The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.

Given:

point (8,4) and has a slope of 0

slope m = 0

Standard line equation is y = mx + c

substitute (8,4) and m values in y = mx + c

4 = 0*8 + c

4 = 0 + c

c = 4

c , m values in y = mx + c

y = 0*x + 4

y = 0 +4

y = 4.

Therefore The equation of the line that passes through the point (8,4) and has a slope of 0 is y = 4.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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Answer:

an obtuse angle are angles that are greater than 90 degrees

Step-by-step explanation:

an obtuse angle are angles that are greater than 90 degrees

The median charge is $51. The median of a data set is also called the middle value.

Median is the value of the middle point in a data set. Here is how to find the median.

A sample of the paramedical fees:  $55, $49, $50, $45, $52, and $55. Find the median!

The number of the data is 6.

Let's sort the data form the smallest!

$45, $49, $50, $52, $55, $55

The middle part of the data is $50 and $52. The median is

($50 + $52)/2 = $102/2 = $51

Hence, the median of the data is $51.

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The quotient of the division x - 3 | 4x^2 + 3x + 2 is 4x + 15

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

x - 3 | 4x^2 + 3x + 2

Using the long division method of quotient, we have

x - 3 | 4x^2 + 3x + 2

The division steps are as follows

          4x + 15

x - 3 | 4x^2 + 3x + 2

          4x^2 - 12x

------------------------------------------------

              15x + 2

              15x - 45

------------------------------------------------

                        47

Hence, the quotient is 4x + 15

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