If z varies inversely as w and z=20 when w=0.7 find z when w=20

Answer:

28:12

Step-by-step explanation:

28 divided by 4 is 7

12 divided by 4 is 3

Answer/Step-by-step explanation:

Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.

6x² - 4x - 5

- 3x² - 7x + 2

= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]

= 3x² + 3x - 7

The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.

The sign is very important, it defines the value of the term.

We can choose to solve the problem in another way shown below:

(6x² - 4x - 5) - (3x² - 7x + 2)

Distributive the negative sign in the second polynomial

6x² - 4x - 5 - 3x² + 7x - 2

Combine like terms

6x² - 3x² - 4x + 7x - 5 - 2

3x² + 3x - 7

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

Step-by-step explanation:

The first step is to calculate the volume of the cylinder:

Volume = π x (radius)^2 x height

Volume = π x (16.2 cm)^2 x 710 cm

Volume ≈ 1.468 x 10^6 cm^3

Next, we can calculate the mass of the metal required to make the pole:

Mass = Density x Volume

Mass = 6.6 g/cm^3 x 1.468 x 10^6 cm^3

Mass ≈ 9.6948 x 10^6 g or 9694.8 kg

Finally, we can calculate the cost of the metal required:

Cost = Price per unit mass x Mass

Cost = $0.78/kg x 9694.8 kg

Cost ≈ $7,561.17

Therefore, the cost of the utility pole would be approximately $7,561.17, rounded to the nearest cent.

Answer:

a) \(y(t) = 30 + 25t\)

b) The pollution level at 4 o'clock in the afternoon​ is of 280 parts per million.

Step-by-step explanation:

The pollution level in the center of a city at 6 am is 30 parts per million and it grows in linear fashion by 25 parts per million every hour.

This means that the pollution in t hours after 6 am is given by:

\(y(t) = 30 + 25t\), which is the answer to question a.

b. The pollution level at 4 o'clock in the afternoon​

4 in the afternoon is 10 hours after 6 am, so this is y(10).

\(y(10) = 30 + 25*10 = 30 + 250 = 280\)

The pollution level at 4 o'clock in the afternoon​ is of 280 parts per million.

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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Answer:

2.1n-2.1

Step-by-step explanation:

The increase is

1.10 (n-1)= 1.1n -1.1

Add this to the original amount

(n-1) + 1.1n - 1.1

2.1n-2.1

The unit measurement of the a volume in mm is mm³(millimetres cube.)

Volume is is defined as the space occupied within the boundaries. The objects are usually solid objects.

The volume of a 3 dimensional figure is the product of the base area and the height.

Therefore, the units of volume is measured in cubic units.

The volume of a prism with side lengths measured in millimetres is 20.

Therefore, the measurement can be represented as follows:

20 mm³

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Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

The test statistics using the z test give the results at -2.16.

A test statistic is a statistic that is used to test statistical hypotheses. A hypothesis test is usually defined in terms of a test statistic, which is a numerical summary of a data set that simplifies the data to a single number that can be used to execute the hypothesis test.

The text statistic used in this case is the z-test.

The formula for the z test is given as:

z = (\(\bar X\)-μ)/(s/√(n))

Where

z = z test

μ = Mean

\(\bar X\) = sample average; and

s = standard deviation

Since

\(\bar X\) = 1170

μ = 1200

s = 82

n = 35

z = (1170-1200)/(82/√(35))

= -30/(82/5.9160797831)

= - 30 / 13.8605297775

= -2.16441943285

\(\approx\) 2.16

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Answer:

(1) \(P(Heart\ and\ Club) = 0.0494\)

(2) \(S = \{B,B,B,B,R,R,R,R,R,Y,Y,Y,Y,Y,Y,Y,Y\}\)

Step-by-step explanation:

Question 1:

Given

\(Hearts = 8\)

\(Diamond = 3\)

\(Club=2\)

\(Spade = 5\)

\(Total = 18\)

Required

Probability of 1 heart and 1 club

This probability is calculated as:

\(P(Heart\ and\ Club) = P(Heart) * P(Club)\)

\(P(Heart\ and\ Club) = \frac{n(Heart)}{Total} * \frac{n(Club)}{Total}\)

\(P(Heart\ and\ Club) = \frac{8}{18} * \frac{2}{18}\)

\(P(Heart\ and\ Club) = \frac{8*2}{18*18}\)

\(P(Heart\ and\ Club) = \frac{16}{324}\)

\(P(Heart\ and\ Club) = 0.0494\) -- approximated

Question 2:

Given

\(Blue = 4\)

\(Red= 5\)

\(Yellow = 8\)

Required

Determine the sample space

Represent the blue balls with B, the red with R and the yellow with Y.

The sample space (S) is:

\(S = \{B,B,B,B,R,R,R,R,R,Y,Y,Y,Y,Y,Y,Y,Y\}\)

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Answer:

a: 42%

b: don't have the info for

c: 48%

d: don't have info for

e: don't have info for

f: don't have info for

Step-by-step explanation:

sorry I cant answer everything

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Answer:

B table a table b

Step-by-step explanation:

All of the other tables have one x value mapped to multiple y values.

Answer:

x+2x-3

because nates car is x and mayas is 2x-3

A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.

These are the specified parameters:

English = 26

Science = 24

Music = 25

English but not science = 17

Science and music = 11

English and music = 14

Took all theree = 4

Lots of students took English and science

Look at the venn diagram in the attachment.

26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135

x + 92 = 135

x = 135 - 92

x = 43

Lots of students took English and science, but not music

= x - 4

= 43 - 4

= 39

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Explanation:

When two figures are similar, the lengths of their sides are different but the angles remain the same - in other words, corresponding angles are congruent.

In this case, the corresponding angle to angle D is angle T

Answer:

∠D≅∠T

Answer:

0 dollars

=E(M)

=μ  

M

​  

=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)

=−8,100+7,200+900

=0

​  

Answer:

0.2, as stated on Khan.

Step-by-step explanation:

Pay attention to the wording. There are two similar problems with wording, but the numbers are altered.

Answer: 48

I hope this helps!

Answer:

25 yards squared

Step-by-step explanation:

Answer:

area =27

Step-by-step explanation:

Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

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Answer:

11 words

Step-by-step explanation:

The question is poorly formatted.

The right relationship between M and t is given as:

M = −0.001t³ + 0.1t²

Required

Solve for M when t = 10

To do this, substitute 10 for t

So,we have:

M = −0.001t³ + 0.1t²

M = -0.001 * 10³ + 0.1 * 10²

M = -0.001 * 1000 + 0.1 *100

M = 1 + 10

M = 11

11 words in 10 minutes

The solution for the given inequality is x >7.

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number and a graph solution for the given inequality.

The given inequality is \(1-\frac{6}{7}x < -5\) . Then,

          \(-\frac{6}{7}x < -5 -1\\ \\ -\frac{6}{7}x < -6\)

          \(-\frac{6}{7}x < -6 *(-1)\\ \\ \frac{6}{7}x > 6\)

         \(\frac{6}{7}x > 6\\ \\ 6x > 42\\ \\ x > \frac{42}{6} \\ \\ x > 7\)

You should also show the results t > 7 in a number line. Thus, plot the number line. See the attached image.

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Answer:

Number of year = 9.5 year

Step-by-step explanation:

Given:

Initial value[Cost price] = $5,000,000

Depreciation rate[r] = 7% = 0.07

Final value[After depreciation cost] = 5,000,000 / 2 = $2,500,000

Find:

Number of year[After half value]

Computation:

A = p[1-R]ⁿ

Final value = Initial value[1-r]ⁿ

2,500,000 = 5,000,000[1-0.07]ⁿ

0.5 = [0.93]ⁿ

Number of year = 9.5 year