A newspaper article claimed that 3 out of 5 households in the area had internet connections. If they surveyed 300 households, how many did not have internet hookups?

The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.

(a) To determine how much sugar will dissolve in 1000 g of water at 80°C, we need to find the point on the sugar-water phase diagram that corresponds to these conditions. At this point, the curve separating the liquid and solid phases (called the solubility curve) indicates the maximum amount of sugar that can be dissolved in the water at that temperature.

Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the maximum amount of sugar that can be dissolved in 1000 g of water at 80°C.

(b) When the saturated liquid solution in part (a) is cooled to 20°C, some of the sugar will precipitate as a solid. This means that the composition of the remaining liquid phase will be different from its composition at 80°C.

To determine the new composition, we need to find the point on the phase diagram that corresponds to 20°C and the sugar concentration we found in part (a). This point will lie on the solubility curve, which separates the liquid and solid phases at 20°C.

Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the composition of the saturated liquid solution at 20°C.

(c) The amount of solid sugar that comes out of solution upon cooling to 20°C can be calculated using the mass balance equation:

mass of solid sugar + mass of dissolved sugar = total mass of sugar

At 80°C, we found the maximum amount of sugar that can be dissolved in 1000 g of water. We can use this value to calculate the mass of dissolved sugar at 80°C. Then, at 20°C, we can use the composition we found in part (b) to calculate the mass of dissolved sugar in the saturated liquid solution.

The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.

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Answer:

Step-by-step explanation:

I would use the Horner method.

f(x) = x³ – 3x² – 10x + 24

f(2) = 2³ - 3·2² - 10·2 +24 = 0   ⇒ x=2 is the root of function

So:

    |   1   | -3   |  -10  |  24 |

2  |   1   |  -1   |  -12  |  0   |

therefore:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x² – x – 12)

For  x² – x – 12:

\(x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3\)

It means:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x – 4)(x + 3)

To determine the maximum volume of a cone that can be carved from a foam cylinder, we need to compare the volumes of the two shapes. The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the cone's base and h is the height of the cone.

Answer :   28. 27 in³

Given that the foam cylinder has a diameter of 3 inches, we can find its radius by dividing the diameter by 2: r = 3/2 = 1.5 inches. The height of the cylinder is given as 4 inches.

Now, let's calculate the volume of the foam cylinder using the formula V = πr²h:

V_cylinder = π(1.5)²(4) = 9π in³ ≈ 28.27 in³ (rounded to the hundredths place)

The maximum volume of a cone that can be carved from the foam cylinder will be less than or equal to the volume of the foam cylinder.

Therefore, the correct answer is option 28. 27 in³, as it is the closest approximation to the volume of the foam cylinder rounded to the hundredths place.

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Answer: 2 hours and 30 minutes

Step-by-step explanation:

Answer:

Year 1 Depreciation:$2,000

Depreciation Percentage:20.00%

Total Depreciation:$10,000

Final Year Depreciation:$2,000

Step-by-step explanation:

P.S by teacher told me the answer

It will take B 8 hours to travel in order to overtake A.

The relationship among the distance, time and speed can be expressed by using the relation.

\(\mathbf{speed = \dfrac{distance}{time}}\)

In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.

Here:

From the given relation:

So, we can have a table expressing the parameters given in the question as follows:

           v            t            d

A          4            t+2     4t + 8

B          5             t         5t

Equating both distance together, we have:

4t + 8 = 5t

collecting like terms, we have:

4t - 5t = -8

t = 8 hours

Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.

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Answer:

14000Kilolitres

Step-by-step explanation:

\( 1megalitre = 1000kilolitres \\ \)

\(14megalitres = xkilolitres\)

Cross multiply

\(14 \times 1000 = xkilolitres\)

\(14megaitres = 14000kilolitres\)

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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Answer:

my hands hurt bcz of this

Step-by-step explanation:

We have the production function as Y=AL

t

a

​

K

t

3

​

.

Where Y is the output, L

t

is the labor, A is the total factor productivity, K

t

is the physical capital, and α is the capital's share in output.

To find ∂L

i

​

∂Y

​

, we take the partial derivative of Y with respect to L

i

​

∂L

i

​

∂Y

​

=αY/L

i

​

This shows that the marginal productivity of labor is equal to α times the output per worker.

To find ∂K

t

​

∂Y

​

, we take the partial derivative of Y with respect to K

t

​

∂K

t

​

∂Y

​

=3(1−α)Y/K

t

​

This shows that the marginal productivity of capital is equal to 3(1-α) times the output per unit of capital.

If β=1-α, then we have

Y=AL

t

a

​

K

t

3(1−β)

​

Substituting β=1-α, we get

Y=AL

t

a

​

K

t

3α

​

Now,

∂K

t

​

∂Y

​

=3Y/K

t

​

Thus, the marginal productivity of capital is now equal to 3 times the output per unit of capital.

Answer:

A Melissa is the furthest from sea level

The proof of trigonometric identity (sin(x) + tan(x))/sin(x) = 1 +secx is given below.

The given trigonometric identity is,

(sin(x) + tan(x))/sin(x).

We know that tan(x) = sin(x)/cos(x), so we can substitute that in:

sin(x)/ sin(x) + sin(x)/cos(x) / sin(x)

We can simplify the fraction in the numerator:

sin(x)/ sin(x) + sin(x)/sin(x)cos(x)

We know that sin(x)/sin(x) = 1, so we can simplify further:

1+ 1/cos(x)

We know that 1/cos(x) = sec(x), so we can substitute that in:

1 + sec(x).

Now we have the same expression as the right-hand side of the identity, so we have proven that:

sin(x) + tan(x)/sin(x) = 1 + sec(x)

Therefore, (sin(x) + tan(x))/sin(x) = 1 +secx.

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Answer:

16.5

Step-by-step explanation:

Break down the equation:

10*5=50

4 with an exponent of 2= 16

Then you have: 50+16 / 4

You can simplify it to 66/4

Finally, divide 66 by 4 which equals 16.5

Hope this helps!

The slope of the parametric curve x=-4t^2-4, y=6t^3 at the point corresponding to t is -9t/4.

To find the slope of the parametric curve x=-4t^2-4, y=6t^3 at the point corresponding to t, follow these steps:
1.  Find the derivatives of both x and y with respect to t:
   dx/dt = -8t
   dy/dt = 18t^2
2. The slope of the parametric curve is the ratio of the derivatives, dy/dx.

    To find this, divide dy/dt by dx/dt:

    dy/dx = (dy/dt) / (dx/dt)

              = (18t^2) / (-8t)
3. Simplify the expression:
   dy/dx = -9t / 4
So, the slope of the parametric curve x=-4t^2-4, y=6t^3 at the point corresponding to t is -9t/4.

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Answer:

-30

Step-by-step explanation:

-5 x -3 = 15

15 x -2 = -30

Explanation:

A negative times a negative will always be a positive. Vice versa.

A positive times a negative will always be a negative. Vice versa.

The two non negative real numbers with a sum of 64 that have the largest possible​ product are; 32 and 32.

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

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The risk-free interest rate for a five-year maturity is the yield on a five-year risk-free bond. To determine this rate, you would need to refer to the current zero-coupon yield curve for risk-free bonds and find the yield corresponding to a five-year maturity.

To find the risk-free interest rate for a five-year maturity, you would need to refer to the current zero-coupon yield curve for risk-free bonds. This curve provides yields for different maturities of risk-free bonds.

Look for the yield corresponding to a five-year maturity on the curve, and that would be the risk-free interest rate for a five-year maturity. Make sure to round the rate according to the given instructions.

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Answer:

120 cm.

Step-by-step explanation:

The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is

2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.

The linear inequality of the graph is: -x + 2y + 1 > 0

First, we calculate the slope of the dashed line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Two points on the graph are:

(1, 0) and (3, 1)

The slope (m) is:

\(m = \frac{1 - 0}{3 - 1}\)

This gives

m = 0.5

The equation of the line is calculated as:

\(y = m(x -x_1) + y_1\)

So, we have;

\(y = 0.5(x -1) + 0\)

This gives

\(y = 0.5x -0.5\)

Multiply through by 2

\(2y = x - 1\)

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <.

Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

2y > x - 1

Rewrite as:

-x + 2y + 1 > 0

So, the linear inequality is: -x + 2y + 1 > 0

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Complete question

Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c \(\geq\) 0 where a, b, and c are integers with no common factor greater than 1.)

Answer:12

Step-by-step explanation:

Mr. Frank can fertilize 53 plants with 1.01 kilograms of fertilizer, assuming each plant gets 94 mg of fertilizer two times a year.

To determine the number of plants Mr. Frank can fertilize with 1.01 kilograms of fertilizer, we need to convert the given amount of fertilizer from kilograms to milligrams. Since there are 1,000 milligrams in one gram and 1,000 grams in one kilogram, we can calculate that 1.01 kilograms is equal to 1,010,000 milligrams of fertilizer.

Next, we need to determine how much fertilizer each plant will need. Since each plant needs 94 mg of fertilizer two times a year, the total amount of fertilizer needed per plant per year is 188 mg (94 mg x 2).

Therefore, to calculate the total number of plants Mr. Frank can fertilize with 1.01 kilograms of fertilizer, we need to divide the total amount of fertilizer by the amount needed per plant per year:

1,010,000 mg ÷ 188 mg/year = 5,372.34 plants

However, since we can't have a fraction of a plant, we need to round down to the nearest whole number to get the final answer:

Number of plants = 5,372 (rounded down from 5,372.34)

Therefore, Mr. Frank can fertilize 5,372 plants with 1.01 kilograms of fertilizer.

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KMN=1/2(LMN) BEC. KMN=KML=1/2LMN

KMN=58

JNM=KNM-58

103-58=KNM

KNM=45

NOW NKM = 180-KMN-KNM

NKM=180-103

Answer:

77°

Step-by-step explanation:

Hope it helps you

XD

QwQ

So, if you have a pressure measurement of 1 bar, multiplying it by 100 gives you 100 kilopascals.

Converting between different units of pressure, such as bars and kilopascals, is a common task in physics, engineering, and many other fields.

Here's a more detailed explanation: One bar is equivalent to 100 kilopascals (kPa). This means that if you have a pressure measurement in bars, you can convert it to kilopascals by multiplying it by 100.

It's important to note that the conversion factor of 100 is constant, so any value in bars can be easily converted to kilopascals by multiplying by 100.

For example,

if you have a pressure measurement of 2 bars, multiplying it by 100 gives you 200 kilopascals. And if you have a pressure measurement of 0.5 bars, multiplying it by 100 gives you 50 kilopascals.

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Answer:

C = 207.55 + 223.07x

Step-by-step explanation:

Given the following :

Cost of community college:

Enrollment fee = 207.55

Fee per credit hour = 223.07

Attending the community College for 'x' credit hours can be represented by:

Total cost = C

[Enrollment fee + (fee per credit hour * number of credit hours)]

Number of credit hours = x

C = [207.55 + (223.07 * x)]

C = 207.55 + 223.07x

Therefore, the total cost 'C' of attending the community college for 'x' credit hour:

C = 207.55 + 223.07x

The unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

We can start by finding the unit rate of water dropped per hour.

If the sink drips \($\frac{2}{5}$\) gallon of water in 4 hours, then it drips \(\frac{1}{5}$\) gallon of water in 2 hours (since \((\frac{2}{4} = \frac{1}{2}$).\)

The unit rate of water dropped per hour is:

\($\frac{1/5}{2} = \frac{1}{10}$\) gallon per hour.

To find the unit rate of water dropped per day, we can multiply the unit rate per hour by the number of hours in a day:

\($\frac{1}{10} \text{ gallon per hour} \cdot 24 \text{ hours per day} = \frac{12}{5} \text{ gallons per day}$\)

Therefore, the unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

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The unit rate of water dropped per day is 12/5 gallons.

To find the unit rate of water dropped per day for a sink that drips 2/5 gallons of water in 4 hours, we'll follow these

steps:

Determine how many gallons of water are dripped in one hour.

Calculate the gallons of water dripped in 24 hours (one day).

Calculate gallons per hour.

Since the sink drips 2/5 gallons in 4 hours, we'll divide the gallons by the number of hours:

(2/5) / 4 = (2/5) × (1/4) = 2/20 = 1/10

So, the sink drips 1/10 gallons per hour.

Calculate gallons per day.

Now, we'll multiply the gallons per hour by 24 hours to find the gallons per day:

(1/10) × 24 = 24/10 = 12/5

The unit rate of water dropped per day is 12/5 gallons.

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Answer: both

Step-by-step explanation:

The total cost of gas in December is $6088.55.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Given that, the rate per unit is $0.65.

Number of units of gas used in December is 9367 units.

Now, the total cost = 9367×0.65

= $6088.55

Therefore, the total cost of gas is $6088.55.

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"Your question is incomplete, probably the complete question/missing part is:"

Find how many units of gas were used each month. Then find the total bill for each month. Assume the rate per unit is $0.65

December, 9367

Answer:

x = 3

Step-by-step explanation:

Setup a proportion

\(\frac{CB}{CA} =\frac{DB}{DA} \\\frac{4}{3} =\frac{x}{2.25} \\3x=9\\\frac{3x}{3} =\frac{9}{3} \\x=3\)