3/8 × 11=
3/4 × 2 =
.
​

We will use the ratio method to solve the question

∵ 50 kg contains 2 x 10^2 grams of sodium chloride

∵ We need to find the amount of sodium chloride in 1.8 x 10^3 people

who weigh 50 kg

At first, we must find the weight of 1.8 x 10^3 people

Now we will use the ratio method

→ kg: gm

→ 50. : 2 x 10^2

→ 9 x 10^4 : m

→ By using cross multiplication

Divide both sides by 50 to find m

The answer is A

So the base of the ladder is moving away from the wall at a rate of 3/4 feet per minute when the top of the ladder is 4 feet from the ground.

We can use the Pythagorean Theorem to relate the ladder's length to the distance it is from the wall. Let's call the distance from the wall "x", and the length of the ladder "y". Then:

x^2 + y^2 = 5^2

We can take the derivative with respect to time of both sides of this equation, using implicit differentiation:

2x(dx/dt) + 2y(dy/dt) = 0

Now we can plug in the values we know and solve for the rate at which the base of the ladder is moving away from the wall (which is the same as the rate at which x is increasing):

x = sqrt(5^2 - 4^2) = 3

y = 4

dx/dt = 1 (given)

dy/dt = ?

Plugging in these values, we get:

2(3)(1) + 2(4)(dy/dt) = 0

Simplifying:

6 + 8(dy/dt) = 0

Solving for dy/dt:

dy/dt = -6/8 = -3/4

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Answer:

2560

Step-by-step explanation:

16×16×10 so the answer is 2560

Answer:

$9

Step-by-step explanation:

The equilibrium price is achieved at 9. The graph represents the quantity demanded and the supply of the products are equal. The equilibrium price is the point where variables will not change and no external influence will tend to pull the supply or demand in a corresponding direction. 

The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

The answer is A) 5.

Answer:

so 9+8 is 17 and 17 - 12 is 5

Answer:

Hydropower is a form of renewable energy. Water will spin a turbine, which will then generate electricity.

Step-by-step explanation:

Hydropower is a form of renewable energy. Water will spin a turbine, which will then generate electricity.

The z - test static is, z = (0.38 -p₀) / 0.02, Where p₀ is the specific sample proportion.

To calculate the z-test statistic for this hypothesis test, we need to follow a few steps.

Determine the null and alternative hypotheses.

Let's assume our null hypothesis is H0: p = p₀,

Where p0 is the hypothesized proportion. And our alternative hypothesis is Ha: p ≠ p₀ (two-tailed test).

Calculate the standard error (SE) using the formula:

SE = √((p₀ * (1 - p₀)) / n)

Given that the sample proportion is 0.38 and the sample size is 801,

We can substitute these values into the formula:

SE = √((0.38 * (1 - 0.38)) / 801)

     ≈ 0.02

Calculate the z-test statistic using the formula:

z = (p - p₀) / SE

Substituting the values, we have:

z = (0.38 - p₀) / 0.02

Here the specific value of p₀ is not given.

Hence,

The z - test static is, z = (0.38 -p₀) / 0.02

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you can use the formula for the volume of a rectangular prism to solve for one of the dimensions of the prism (either the length, width, or height).

What is a rectangular prism?

A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a box or a cuboid. A rectangular prism has three dimensions: length, width, and height.

To find the base area of a rectangular prism when given the volume, you can use the formula for the volume of a rectangular prism and the formula for the base area of a pyramid.

The volume of a rectangular prism is given by the formula V = lwh,

where V is the volume, l is the length, w is the width, and h is the height.

The base area of a pyramid is given by the formula B = A/h,

where B is the base area, A is the total surface area of the pyramid, and h is the height of the pyramid.

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The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.

The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:

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Answer:

Step-by-step explanation:

answer is $100.00 is original price

40% of 100 = $90

According to the question the best guess for the distribution's standard deviation is 32.

To determine the best guess for the standard deviation (SD) using the empirical rule, we can utilize the 68-95-99.7 rule. According to this rule, in a normal distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, the range between the lowest and highest accident rates is from 9 accidents per day to 105 accidents per day, encompassing the entire data range.

To estimate the standard deviation, we can calculate the range between the mean and the lowest/highest values:

Range = Highest Value - Lowest Value

      = 105 - 9

      = 96

Since the empirical rule states that approximately 99.7% of the data falls within three standard deviations, and we know that the data range spans from the lowest to the highest value, we can assume that three standard deviations encompass this range.

Therefore, we can estimate the standard deviation as follows:

Range = 3 * SD

Substituting the values:

96 = 3 * SD

Solving for SD:

SD = 96 / 3

SD = 32

So, the best guess for the distribution's standard deviation is 32.

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Given system of differential equation: $dy_1/dx=-0.5y_1+4-0.3y_2-0.1y_1$ ....(1)$dy_2/dx=y_1^2$ .....................(2)Using the explicit Euler method: $y_1^{n+1}=y_1^n+hf_1(x^n,y_1^n,y_2^n)$ and $y_2^{n+1}=y_2^n+hf_2(x^n,y_1^n,y_2^n)$, here $h=0.5$ and $x^0=0$.

Now substitute $y_1^0=4$, $y_2^0=6$ in equation (1) and (2) we have,$dy_1/dx=-0.5(4)+4-0.3(6)-0.1(4)=-1.7$$y_1^1=y_1^0+h(dy_1/dx)=4+(0.5)(-1.7)=3.15$So, $y_1^1=3.15$

We also have, $dy_2/dx=(4)^2=16$So, $y_2^1=y_2^0+h(dy_2/dx)=6+(0.5)(16)=14$So, $y_2^1=14$

So, the required solutions are $y_1(2)=0.94$ and $y_2(2)=19.96125$.

Note: A clear and stepwise solution has been provided with more than 100 words.

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Answer:

A=266CM

Step-by-step explanation:

p=2l + 2w                                   l=2x+1             w=x+5

66=2[2x+1] + 2{x+5]                  l=2x9 + 1           w=9+5

66=4x+2 + 2x+10                      l=18+1                 w=14

66=6x+12                                   l=19

66-12=6x

54=6x                                      A=L x W

x=9                                         A=19 x 14

                                             A=266CM

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The expression that are polynomial are,

4x² - 94x² - 9

(2x - 8y²) / (x - 8y)

3x² - 7y

Options B, C and D are the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

3x -2 + y³ + \(x^{-2}\) + y³

This is not a polynomial since we can not have a negative power.

This is not a polynomial.

4x² - 94x squared minus 9

4x² - 94x² - 9

- 90x² - 9

This is a polynomial.

2x - 8y2 over x minus 8 y

(2x - 8y²) / (x - 8y)

This is a polynomial.

3x² - 7y

This is a polynomial.

Thus,

The expression that are polynomial are,

4x² - 94x² - 9

(2x - 8y²) / (x - 8y)

3x² - 7y

Options B, C and D are the correct answer.

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312.5 μCi is equivalent to 0.3125 mCi.

Conversion factors refer to a relationship between the value in one unit to the value in another unit. It is used to convert a quantity expressed in one unit to another unit.

The following conversion factors are needed to convert 312.5 μCi to millicuries (mCi):1 mCi = 1000 μCiUsing the above conversion factor, we can write the given value of 312.5 μCi as:312.5 μCi = (312.5/1000) mCi= 0.3125 mCi

Therefore, the value of 312.5 μCi can be converted to millicuries (mCi) using the above conversion factor. We can rearrange the formula as shown below.312.5 μCi × 1 mCi / 1000 μCi= (312.5/1000) mCi= 0.3125 mCi

Therefore, 312.5 μCi is equivalent to 0.3125 mCi. The calculation can be summarized in a sentence as follows: To convert 312.5 μCi to millicuries (mCi), we use the conversion factor 1 mCi = 1000 μCi.

The calculation shows that 312.5 μCi is equivalent to 0.3125 mCi. The answer can be expressed as follows: 312.5 μCi = 0.3125 mCi.

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Answer:

13

Step-by-step explanation:

Answer:

\(3.5 - 2 \times 100 \div 2\)

Answer:

The percentage increase in the puppy's weight is 75%.

Step-by-step explanation:

We can find the percentage increase using the following formula:

\(\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}\).

In this case,

• initial = 2 kg

• final = 3.5 kg

Substituting these values into the formula:

\({\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}\)

                ⇒ \(\frac{1.5}{2} \times 100\)

                ⇒ \(0.75 \times 100\)

                ⇒ 75%

Answer:

1/6x or just 1/6

Step-by-step explanation:

the equation is y = mx + b and 1/6x is in place m which is the slope

stream blueberry eyes by MAX AND SUGA periodTt

The slope is also known as the gradient and the rate of change of the line. The slope of the line for the equation y= 1/6x + 1/4 is 1/6

The slope is also known as the gradient and the rate of change of the line, The equation of aline in slope intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation y = 1/6x + 1/4

Compare

mx = 1/6x

m = 1/6

Hence the slope of the line for the equation y= 1/6x + 1/4 is 1/6

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Answer:

y = 1

x = 3

Step-by-step explanation:

First, try to eliminate one of the variables.

Steps:

1)  3x - 2y = -5

 -

   2x - 4y = 2

2)  (3x - 2y = -5)*2

    -

     (2x + 4y = 2)*3

3)   6x - 4y = -10

     -

      6x + 12y = 6

#subtract and you will get -16y = -16

4)  -16y = -16

   = y = -16/-16

   = y = 1

5) substitute the value of y...

2x - 4y = 2

2x - 4*1 = 2

2x - 4 =2

2x = 2 + 4

2x = 6

x = 6/2

x = 3

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The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

We have,

Frequencies:

a = 0.15 = 15,

b = 0.25 = 25,

c = 0.20 = 20,

d = 0.35 = 35,

e = 0.05 = 5,

So,

Now,

According to the question,

We will make Huffman tree,

i.e.

a = 0.15 = 15,

b + c = 25 + 20 = 45

d + e = 35 + 5 = 40,

Now,

a + b + c + d + e = 100

So,

a = 11 = 2 digits

b = 101 = 3 digits

c= 100 = 3 digits

d= 01 = 2 digits

e= 00 = 2 digits

And,

We know that,

Total bits required to represent Huffman code = 12.

So,

Now,

The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits

i.e.

The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2

On solving we get,

The average code length = 245

Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.

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1. The set of rational expressions is closed under subtraction.

2. The set of rational expressions is closed under multiplication.

3. The set of rational expressions is not closed under division.

1. Subtraction:

The set of rational expressions is closed under subtraction. When subtracting two rational expressions, say p(x)/q(x) and r(x)/s(x), we can express their difference as:

(p(x)/q(x)) - (r(x)/s(x)) = (p(x)s(x) - r(x)q(x))/(q(x)s(x))

Here, the numerator (p(x)s(x) - r(x)q(x)) is a polynomial, and the denominator (q(x)s(x)) is also a polynomial.

Hence, the set of rational expressions is closed under subtraction.

2. Multiplication:

The set of rational expressions is closed under multiplication as well. When multiplying two rational expressions, p(x)/q(x) and r(x)/s(x), their product is given by:

(p(x)/q(x)) * (r(x)/s(x)) = (p(x)r(x))/(q(x)s(x))

Here, the numerator (p(x)r(x)) is a polynomial, and the denominator (q(x)s(x)) is also a polynomial.

Therefore, the set of rational expressions is closed under multiplication.

3. Division:

The set of rational expressions is not closed under division. When dividing two rational expressions, p(x)/q(x) and r(x)/s(x), their quotient is given by:

(p(x)/q(x)) ÷ (r(x)/s(x)) = (p(x)s(x))/(q(x)r(x))

Here, the numerator (p(x)s(x)) is a polynomial, but the denominator (q(x)r(x)) is also a polynomial.

Hence, the set of rational expressions is not closed under division.

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A form of digital television that works with digital broadcast signals, transmitting digital sound, supporting wide screens, and providing high resolutions is High-Definition Television (HDTV).

HDTV is a type of television broadcasting that utilizes digital signals, allowing for superior picture and sound quality compared to traditional analog television. It supports wide screens, providing an aspect ratio of 16:9, which is ideal for displaying content in widescreen formats. HDTV also offers high resolutions, typically 720p or 1080i/p, resulting in sharper and more detailed images on compatible high-definition displays. With its digital nature, HDTV brings improved audiovisual experiences to viewers, enhancing their overall television-watching experience.

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Answer: 35000

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The angle 4 is 105°. From alternative interior angle the angle 5 is 105°.

Given that,

In the picture we can see,

The angle 4 is 105°.

We have to find the angle 5.

The parallel lines,

If a transversal divides two straight lines,

When the two alternate angles are equal, two straight lines become parallel.

The two straight lines are parallel if the pair of internal angles on the same side of traversals is supplementary.

The two straight lines are parallel if the pair of corresponding angles is equal.

The alternative interior angle are always equal.

The angle 4=angle 5

105°=angle 5

The angle 5 =105°.

Therefore, The angle 5 is 105°.

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Answer:

20/27

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4x = 10

x = 10 / 4 = 2.5