PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL

So, approximately, the main entrance and the kitchen are 4.47 yards apart by distance equation.

The distance formula is used to calculate the distance between two points in a coordinate plane. The formula is based on the Pythagorean theorem and involves finding the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates of the two points.

In this case, we are given two points: (-9, 8) and (-5, 6). To find the distance between these two points, we can plug the coordinates into the distance formula, which gives us:

distance = √[(x2 - x1)² + (y2 - y1)²]

where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point.

Plugging in the given coordinates, we get:

distance = √[(-5 - (-9))² + (6 - 8)²]

which simplifies to:

distance = √[4² + (-2)²]

The square of 4 is 16, and the square of -2 is also 4 (since the negative sign is squared away), so we can simplify further:

distance = √[16 + 4]

distance = √[20]

Finally, we take the square root of 20 to get the distance:

distance ≈ 4.47 yards.

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Answer:

volume of a cylinder = 536.9 cm³

Step-by-step explanation:

volume of a cylinder, V = πr²h

where π = 3.14

h = 19 cm

r = ?

given is diameter = 6 cm

as we know, r = d/2 = 6/2 = 3 cm

by substituting the values in the formula,

V = 3.14 * 3² * 19

= 536.94 cm³

by rounding off to the nearest tenth place,

volume of a cylinder = 536.9 cm³

Answer:

v = 537.2 cm3

Step-by-step explanation:

volume:

\(v=\pi r^{2} h\)

\(r=d/2=6/2=3cm\)

\(h=19cm\)

\(v=\pi (3)^{2} (19)=171\pi\)

\(v=537.21\)

Rounded nearest tenth:

\(v=537.2cm^{3}\)

Hope this helps

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

\(x^3+9x^2+16x-6\)

Step-by-step explanation:

When you learned to divide numbers, you said that 10 divided by 2 has quotient 5 since 5 times 2 was 10.

Same difference, let's multiply the two polynomials:

\((x^2+6x-2)(x+3) = x^3+9x^2+16x-6\).

that assuming that you want no remainder. If you care about the remainder, just change the constant term with anything you want. the distance from \(-6\) will be your remainder.

1. The population in 1985 was 5000. 2. The population in 1995 was 12000. 3. The average rate of change in population between 1995 and 2005 is -100 people per year. 1. The distance the object has fallen after 2 seconds is 19.6 meters. 2. The average velocity between 2 seconds and 7 seconds is 44.1 meters per second.

(1) What was the population in 1985?

To find the population in 1985, we substitute t = 0 into the function P(t):

P(0) = 5000 + 200(0) + 0.05(0)^2

P(0) = 5000

Therefore, the population in 1985 was 5000.

(2) Find the population in 1995.

To find the population in 1995, we substitute t = 1995 - 1985 = 10 into the function P(t):

P(10) = 5000 + 200(10) + 0.05(10)^2

P(10) = 5000 + 2000 + 50(100)

P(10) = 5000 + 2000 + 5000

P(10) = 12000

Therefore, the population in 1995 was 12000.

(3) Find the average rate of change in population between 1995 and 2005.

The average rate of change is determined by finding the change in population divided by the change in time.

Change in population = P(2005) - P(1995)

= [5000 + 200(20) + 0.05(20)^2] - [5000 + 200(10) + 0.05(10)^2]

Calculating the values:

Change in population = 11000 - 12000

= -1000

Change in time = 2005 - 1995 = 10

Average rate of change = Change in population / Change in time

= -1000 / 10

= -100

Therefore, the average rate of change in population between 1995 and 2005 is -100 people per year.

For the second part of the question:

(1) Find the distance it has fallen after 2 seconds.

To find the distance the object has fallen after 2 seconds, we substitute t = 2 into the function h(t):

h(2) = 4.9(2)^2

h(2) = 4.9(4)

h(2) = 19.6 meters

Therefore, the distance the object has fallen after 2 seconds is 19.6 meters.

(2) Find the average velocity between 2 seconds and 7 seconds.

The average velocity is determined by finding the change in distance divided by the change in time.

Change in distance = h(7) - h(2)

= 4.9(7)^2 - 4.9(2)^2

= 4.9(49) - 4.9(4)

= 240.1 - 19.6

= 220.5 meters

Change in time = 7 - 2

= 5 seconds

Average velocity = Change in distance / Change in time

= 220.5 / 5

= 44.1 meters per second

Therefore, the average velocity between 2 seconds and 7 seconds is 44.1 meters per second (rounded to one decimal point).

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Answer:

Hope this will help you

Answer:

94°

Step-by-step explanation:

Interior angles:

m<C = 49°

m<D = ?

Angles CBD and CBY are supplementary.

m<CBD = 180° - 143° = 37°

m<C + m<D + m<CBD = 180°

49° + m<D + 37° = 180°

m<D = 94°

Answer:

(Note that I used decimals when explaining because they're easier for me, but if the question asks for the answer in fraction form, just remember that 1/2 = 0.5 and 1/4 = 0.25).

3.5w + 8 = 3.25w + 10

0.25w + 8 = 10

0.25w = 2

w = 8

Step-by-step explanation:

Since the growth rate of each sunflower changes a certain amount per week, you'd put the given number in the empty boxes with the w's. To help illustrate my point, you'd put 3 1/2 or 3.5 in the first empty box, and you'd put 3 1/4 or 3.25 in the second empty box.

So now you'll have 3.5w + 8 = 3.25w + 10.

Now we'll combine like terms by: subtracting 3.25w from 3.5w to get 0.25w, and subtracting 8 from 10 to get 2.

Now we have: 0.25w = 2, and finally we'll divide 0.25 on both sides to get w = 8.

Hope this helps you :)

Answer:

-3.75 but i would guess -3

Step-by-step explanation:

A = (-10 - 5) / (4 - 0) = -15 / 4 = -3.75

Answer:

\(-\dfrac{5}{4}\)

Step-by-step explanation:

average rate of change of function f(x) between x = a and x = b

\( \dfrac{f(b) - f(a)}{b - a} \)

Here, a = 0; f(a) = f(0) = -5; b = 4; f(b) = f(4) = -10

\( \dfrac{f(b) - f(a)}{b - a} \)

\(= \dfrac{-10 - (-5)}{4 - 0}\)

\(= \dfrac{-5}{4}\)

\(= -\dfrac{5}{4}\)

Answer:

x



=−

7

5

​

Step-by-step explanation:

Answer:

2^3*3*5=120

Step-by-step explanation:

5 is the prime number

To solve the exercise you can rewrite the fractions in decimal form and then we order.

To write them in decimal form divide the numerator by the denominator, then we have

Option A with a 6-year loan at 8.5% interest compounded quarterly is the better credit option as it results in a lower total amount paid compared to Option B with a 5-year loan at 10% interest compounded annually.

What is the compound interest?

Compound interest can be regarded as the  addition of interest on the loan to the principal sum of the deposit.

Based on the given information, Option A is the better credit option.

Here's why:

Option A:

Option B:

To determine the better option, we can calculate the total amount paid for each option, which includes the principal amount (the initial loan amount) and the interest (the additional amount charged for borrowing the money).

For Option A:

Principal (P) = $12,500

Annual interest rate (r) = 8.5%

Compounding frequency (n) = 4 (quarterly)

Time (t) = 6 years

Using the formula for compound interest:

\(A = P * (1 + r/n)^{(nt)}\)

\(A = $12,500 * (1 + 0.085/4)^{(46)\\A = $12,500 * (1.02125)^{24\)

A = $16,509.63 (rounded to 2 decimal places)

For Option B:

Principal (P) = $12,500

Annual interest rate (r) = 10%

Compounding frequency (n) = 1 (annually)

Time (t) = 5 years

Using the formula for compound interest:

\(A = P * (1 + r/n)^{(nt)}\\A = $12,500 * (1 + 0.10/1)^{(15)}\\A = $12,500 * (1.10)^5\)

A = $19,379.36 (rounded to 2 decimal places)

Hence, Option A with a 6-year loan at 8.5% interest compounded quarterly is the better credit option as it results in a lower total amount paid compared to Option B with a 5-year loan at 10% interest compounded annually.

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The standard error of the sample mean is 1.25.

The formula for the standard error of the sample mean is s/√n, where s is the standard deviation of the sample and n is the sample size. In this case, s=5 and n=16, so the standard error of the sample mean is 5/√16=1.25.

The standard error measures the variability of sample means that could be obtained from the population, and it decreases as the sample size increases. A smaller standard error means that the sample mean is a more precise estimate of the population mean.

In this example, the standard error of 1.25 indicates that the sample mean of 74 is relatively precise, but without additional information, we cannot determine how accurately it estimates the population mean.

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Answer:

-10x + 4y = -53

Step-by-step explanation:

-5x+2y = -29

5x - 2y = 24

subtract both values from up to down

-5x - 5x = -10x

2y - (-2y) = 4y

-29 - 24 = -53

-10x + 4y = -53

Answer:

311.41m3

Step-by-step explanation:

A=2πrh+2πr2

From the options, a situation that is NOT a potential consequence of unexpected expenses is B. increased taxes.

When we get an unexpected expense, we have to pay for it from either our paycheck or our emergency fund. Both these things will therefore reduce. Our budget would also reduce as the expense was not accounted for.

Taxes on the other hand will likely not increase because taxes are based on our paycheck and not unexpected expenses.

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If each consumer demands one item of groceries and faces a travel cost of $12 per kilometer. BetaMarket chooses the price of $33.33 in equilibrium.

AlphaMart sells groceries at the west end of Main Street, a street that is one kilometer long. AlphaMart competes with BetaMarket, which is located at the east end of the street. AlphaMart and BetaMarket sell groceries that are identical in every respect, apart from the locations of the two stores. The marginal cost of an item of groceries is $3 for both retailers.

Main Street is home to 200 consumers; the consumers are evenly spaced along the street. Each consumer demands one item of groceries and faces a travel cost of $12 per kilometer. To calculate the equilibrium price of BetaMarket, we first need to find out the quantity demanded at each price point.

The quantity demanded for each price point can be found by subtracting the number of consumers who are closer to AlphaMart than to BetaMarket from the total number of consumers. Let the price charged by BetaMarket be P. If BetaMarket charges P, then the demand for BetaMarket's groceries is given by:

QB = 200/2 - 1/2 (P + 12) = 100 - 1/2 (P + 12)

QB = 100 - 1/2P - 6

We can now write down BetaMarket's profit function as:

πB = QB(P - 3) = (100 - 1/2P - 6)(P - 3)

πB = 100P - 3/2P² - 309

From this, we can find the first-order condition for profit maximization by differentiating the profit function with respect to P and setting it equal to zero:

∂πB/∂P = 100 - 3P = 0P = 100/3

Thus, BetaMarket chooses to set the price at $33.33 in equilibrium.

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True. The rule of thirds is a photography and visual arts guideline that involves dividing an image into thirds using two horizontal lines and two vertical lines, and then placing the image's most important elements at the intersection points or along the lines.

This aids in the creation of a balanced and visually appealing composition. This results in nine rectangular areas of equal size, with four intersection points where the lines cross.

The rule of thirds principle suggests that the points of intersection or the lines themselves are ideal places to position the composition's most important elements. The resulting image is more visually balanced and pleasing to the eye as important elements are placed in these areas.

It is important that, however, that the rule of thirds is not a hard and fast rule, and that there were times when breaking it can result in more dynamic and interesting compositions. The rule of thirds is merely a tool for artists and photographers to use in order to create more effective and engaging images.

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Answer:

I assume you know the 4 inequalites:

The 4 Inequalities

Symbol      Words               Example

>          greater than        x+3 > 2

<             less than         7x < 28

≥ greater than or equal to 5 ≥ x−1

≤    less than or equal to 2y+1 ≤ 7

The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.

Hope it helps! Have a great day! :) let me know if it helped

To find the product of (x-6) and (2x+4), we can use the distributive property. This property states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c.

In this case, we have (x-6) as the first term and (2x+4) as the second term.

Using the distributive property, we can expand the product as follows:

\((x-6)(2x+4) = x(2x+4) - 6(2x+4)\)

Now, we can apply the distributive property to each term:

=\((2x^2 + 4x) - (12x + 24)\)

Next, we can combine like terms by adding or subtracting coefficients of the same variable:

\(2x^2 + 4x - 12x - 24= 2x^2 - 8x - 24\)

Therefore, the product of (x-6) and (2x+4) is 2x^2 - 8x - 24.

In summary, when we multiply (x-6) and (2x+4) using the distributive property, we get the simplified form of \(2x^2 - 8x - 24.\)

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Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

(a) Probability that a randomly selected is 9.68%; (b) 29.12% will receive the tax break; (c) Minimum and the maximum starting salaries are 35,679.71 and 4,320.29. (d) 6.3% of the total number of students.

a) P(X>30,400) = P(Z>(30,400-20,000)/8,000)

                          = 1-P(Z<1.3)

                          = 0.0968

                         = 9.68%

b) P(X<15600) = P(Z<(15600-20000)/8000)

                        = 29.12%

c) Maximum of the starting salaries of the middle 95% is

                     (x - 20,000)/8,000 = 1,96

                                                  x  = 35,679.71

Minimum of the starting salaries of the middle 95% is

                      (x - 20,000)/8,000 = -1,96

                                                   x = 4,320.29

d) P(X>32,240) = 1-P(Z<(32,240-20,000)/8,000)

                         = 0.063

Therefore, the 189 represents 6.3% of the total number of students, means that the total number is 3,000.

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Answer:

B. 13 + 8

Step-by-step explanation:

13 - (-8)

negative (-) x negative (-) becomes a positive (+)

- (-8) = +8

:. B. 13 +8 is equivalent to 13 - (-8)

The temperature on the outer surface is 23.4°C. The interface between the two insulating materials has a higher temperature than the outer surface because it is closer to the hot oil in the pipe.

An insulation system is a layer of material used to reduce the rate of heat transfer between two surfaces. It is important to select an insulation system that has a low thermal conductivity to keep a building at a comfortable temperature. The heat transfer coefficient (h) is used to describe the heat transfer rate through a material. A cylindrical pipe has an insulation system that consists of two different layers.

The first layer is glass wool, which is immediately on the outer surface of the pipe, and the second one is made of plaster of Paris. The cylinder diameter is 10 cm, and each insulating layer is 1 cm thick. The thermal conductivity of the glass wool is 0.04 W/m °C, and that of the plaster is 0.06 W/m °C. The cylinder carries hot oil at a temperature of 92°C, and the atmospheric temperature outside is 15°C.

The heat transfer coefficient from the outer surface of the insulation to the atmosphere is 15 W/m2 °C.The first step is to calculate the thermal resistance of each layer using the formula :

$$R = \frac{L}{k}$$

where R is thermal resistance, L is the thickness of the material, and k is the thermal conductivity of the material.

The temperature at the interface between the two insulating materials can be calculated using the formula:$$\frac{T_i - T_o}{R_{total}} = U (T_i - T_a)

$$$$\frac{T_i - 15}{0.4167} = 3.305 (T_i - 92)$$$$T_i

= 38.9°C$$

Therefore, the temperature at the interface between the two insulating materials is 38.9°C.

Finally, the temperature on the outer surface can be calculated using the formula:$$\frac{T_o - T_a}{h_o} = U (T_i - T_a)$$$$\frac{T_o - 15}{15} = 3.305 (38.9 - 92)$$$$T_o = 23.4°C$$

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The total number of possible outcomes for the event in which the letter chosen is A is 3.

A sample space is a set of all the possible outcomes that can be generated by performing a random experiment. Felipe chooses one card from the box, numbered 1, 2, or 3, and then he chooses a ball from the bag, labeled A, B, or C.

Hence, the number of possible outcomes is 3 x 3, or 9.

Below is the sample space describing all the possible outcomes:

{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}

Now, we must find all the possible outcomes for the event in which the letter chosen is A.

Felipe picks a card from the box, numbered 1, 2, or 3.

If he selects card 1, he can then choose ball A, B, or C, resulting in three possible outcomes.

If he selects card 2, he can also select ball A, B, or C, resulting in another three possible outcomes.

If he chooses card 3, he can also choose ball A, B, or C, resulting in another three possible outcomes.

Hence, the total number of possible outcomes for the event in which the letter chosen is A is 3.

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