how do you solve n - 8 > 5

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.

The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:

5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups

Now, we can find three-fourths (3/4) of 17/3:

(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

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Answer:

\(sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}\)

Step-by-step explanation:

Recall the Pythagorean identity for cotangent:

\(1+cot^2(x)=csc^2(x)\)

where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:

\(1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}\)

We can also use the Pythagorean identity for sin and cos, to find the value of \(cos^2(x)\) and of cos(x):

\(cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}\)

We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.

Then the requested quantity can be written as:

\(sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}\)

Answer:

y= -1/2x

Step-by-step explanation:

As n increases, the denominator increases, causing the standard deviation to decrease.

Assuming that the sample is selected randomly and independently from the population, the standard deviation of the sampling distribution of the sample proportion will decrease as the sample size is increased from 100 to 400.

This is because as the sample size increases, the sample proportion becomes a more accurate estimate of the population proportion, and the variability or dispersion of the sample proportion around the true population proportion decreases. This can be seen mathematically using the formula for the standard deviation of the sampling distribution of the sample proportion, which is:

σp = sqrt[p(1-p) / n]

where p is the population proportion and n is the sample size. As n increases, the denominator increases, causing the standard deviation to decrease.

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The statement "Zeroes between two numbers are significant" is NOT part of the rules for determining significant figures.

Significant figures are a set of rules used to determine the precision and accuracy of measured or calculated values. They help communicate the degree of certainty in a given number. The rules for determining significant figures include:

1. Non-zero digits are always significant.
2. Trailing zeroes at the end of a number, after an implied decimal point, are significant.
3. Zeroes to the left of the first non-zero digit are not significant; they only serve as placeholders.
4. Trailing zeroes at the end of a number, before an implied decimal point, are ambiguous and should be clarified using scientific notation or by explicitly stating the number of significant figures.

In the provided statements, the one that does not align with the rules is "Zeroes between two numbers are significant." This statement implies that zeroes between non-zero digits would be significant, which is incorrect. Zeros between significant digits are considered placeholders and are not counted as significant figures. Therefore, this statement is not part of the rules for determining significant figures.

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Hey~

Possibly C.

It makes the most sense.

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

Answer:

B

Step-by-step explanation:

Hope this helps!

Andrew has $28, and Matthew has 5 times that amount, or $140.

The term "amount" typically refers to a quantity or sum of something. It can refer to a physical quantity of something, such as the amount of water in a glass, or an abstract quantity, such as the amount of time it takes to complete a task.

Let x be the amount of money that Andrew has.

Then, the amount of money that Matthew has is 5 times x, which is 5x.

Together, they have a total of $168, so we can write an equation:

x + 5x = 168

Simplifying, we get:

6x = 168

Dividing both sides by 6, we get:

x = 28

Therefore, Andrew has $28, and Matthew has 5 times that amount, or $140.

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Answer:

\(y = 2.4^x \\ from \: intercepts \: using \: natural \: log( ln)\)

Answer:

2.4

Step-by-step explanation:

Answer:

1. (2 - 3i)(2 + 3i) = 4 + 9 = 13

2. (-3 + 4i)(-3 - 4i) = 9 + 16 = 25

3. (-1 - i√2)(-1 + i√2) = 1 + 2 = 3

The product of the complex number and its conjugate for 2- 3i, -3 + 4i, and -1 - √2i is 13, 25, and 3 + 2√2 respectively.

Let us find the product of the complex number and its conjugate for each of the complex numbers:

1. 2- 3i

The conjugate of 2- 3i is 2+3i.The product of 2- 3i and 2+3i is:

(2 - 3i)(2 + 3i)

= 4 + 6i - 6i - 9i²

= 4 + 9= 13

Therefore, the product of 2- 3i and its conjugate is 13

.2. -3 + 4i

The conjugate of -3 + 4i is -3 - 4i.The product of -3 + 4i and -3 - 4i is:

(-3 + 4i)(-3 - 4i) = 9 - 12i + 12i - 16i²

= 9 + 16

= 25

Therefore, the product of -3 + 4i and its conjugate is 25.

3. -1 - √2i

The conjugate of -1 - √2i is -1 + √2i.The product of -1 - √2i and -1 + √2i is:

(-1 - √2i)(-1 + √2i)

= 1 - √2i + √2i - (i² * 2)

= 1 + 2

= 3

Therefore, the product of -1 - √2i and its conjugate is 3.The product of -1 - √2i and its conjugate is 3 + 2√2.

Therefore, The product of the complex number and its conjugate for 2- 3i, -3 + 4i, and -1 - √2i is 13, 25, and 3 + 2√2 respectively.

To find the z-score corresponding to the 55th percentile. This z-score is approximately 0.13. The minimum score required for admission is approximately 22.0.

To determine the minimum score required for admission, we need to consider that ACT composite scores are normally distributed with a mean (µ) of 21.3 and a standard deviation (σ) of 5.3. The university plans to admit students in the top 45%, which means that we need to find the cutoff score corresponding to the 55th percentile (since 100% - 45% = 55%).
Using a standard normal distribution table or a calculator with a built-in function, we can find the z-score corresponding to the 55th percentile. This z-score is approximately 0.13.
Now, we'll use the z-score formula to find the minimum score required for admission:
X = µ + (z * σ)
Where X is the minimum score, µ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values:
X = 21.3 + (0.13 * 5.3)
X ≈ 21.3 + 0.689 = 21.989
Rounding the score to the nearest tenth, the minimum score required for admission is approximately 22.0.

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The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.

Let's analyze the integrand in two separate cases:

Case 1: p ≠ -1

When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.

∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C

To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.

Case 2: p = -1

When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.

As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.

In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.

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The area of the circle with center located at Point B (3, 1) and tangent to the y-axis is 9π units^2. The answer is E.

The area of a circle is the area enclosed by the circle. It is the product of the square of the radius and the constant π. The Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Area of circle = πr^2

To know the radius of a circle given its center and tangent line to it, find the distance between the the center and the point of tangency. As the radius is the distance from the center of the circle to any point in the circumference of the circle

If the circle is tangent to y-axis, then the radius is the absolute value of the x-coordinate.

r = 3 units

Using the formula for the area of a circle:

Area of circle = πr^2

Area of circle = π(3 units)^2

Area of circle = 9π units^2

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The rectangle has equal dimensions, and the area of the rectangle is 44944 square units

The given parameters are:

Length = 212 units

Width = 212 units

The area of the rectangle is:
Area = Length * Width

So, we have:

Area = 212 * 212

Evaluate

Area = 44944

Hence, the area of the rectangle is 44944 square units

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Answer:

question given unclear bro add a photo or something it isnt clear

Step-by-step explanation:

According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.

To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.

The general formula for exponential decay is given by:

A(t) = A₀ * e^(-rt),

where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.

In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).

We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:

0 = 300 * e^(-0.01481t).

To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:

ln(0) = ln(e^(-0.01481t)),

0 = -0.01481t.

To isolate t, we divide both sides by -0.01481:

0 / -0.01481 = t,

t = 0.

Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

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When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

\(2+2+2+2+8+8+8\)

Add up the 2's:

\(2+2+2+2\\=8\)

Add up the 8's:

\(8+8+8\\=24\)

Add both numbers together:

\(8+24\\=\fbox{32}\)

Answer:

32

Step-by-step explanation:

2+2+2+2=8

8+8+8=24

24+8=32

The formula for the test statistic Z depends on the specific hypothesis test being conducted. However,  the test statistic Z can be computed as:

Z = (x - μ) / (σ / √n)

The formula for the test statistic Z is:

Z = (x - μ) / (σ / √n)

where:

x is the sample mean

μ is the population mean (under the null hypothesis)

σ is the population standard deviation (under the null hypothesis)

n is the sample size

This formula is used for a z-test, which is a statistical test that assumes that the population is normally distributed and uses the standard normal distribution to calculate the p-value.

In some cases, the population standard deviation is unknown, and so the sample standard deviation (s) is used as an estimate. In these cases, the formula for the test statistic Z is:

Z = (x - μ) / (s / √n)

where s is the sample standard deviation.

It's important to note that the formula for the test statistic Z can vary depending on the specific hypothesis test being conducted.

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The points (1, 1, 3), (2, 0, 1), (3, 1, 0), and (0, −4, 2) do not lie in a single plane.

To determine if the points (1, 1, 3), (2, 0, 1), (3, 1, 0), and (0, −4, 2) lie in a single plane, we can use 3d geometry.

First, we can find two vectors that lie on the plane using any three of the given points.

For example, we can use the vectors formed by (1, 1, 3) to (2, 0, 1) and (1, 1, 3) to (3, 1, 0):

v₁ = <2-1, 0-1, 1-3> = <1, -1, -2>
v₂ = <3-1, 1-1, 0-3> = <2, 0, -3>

Next, we can take the cross product of these vectors to find the normal vector of the plane:

n = v₁ x v₂ = <3, 7, 2>

Finally, we can check if the fourth point (0, -4, 2) lies on this plane by taking the dot product of the normal vector and a vector from the fourth point to any of the previous points:

n · (0-1, -4-1, 2-3) = -8

Since the dot product is not zero, the fourth point does not lie on the same plane as the first three points.

Therefore, the points (1, 1, 3), (2, 0, 1), (3, 1, 0), and (0, −4, 2) do not lie in a single plane.

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Answer:

4x + 11

Step-by-step explanation:

3(2x + 7) - 2(x+5)

*use distributive property to multiply what's in the parentheses by what's outside of the parentheses*

6x + 21 - 2x - 10

*combine like terms*

6x + 11 -2x

4x + 11

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)

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To construct a frequency table and generate the appropriate graph in SPSS, follow the below steps:

Step 1: Open SPSS and enter the data into a new data sheet.

Step 2: Click on Analyze and then Descriptive Statistics and then Frequencies.

Step 3: In the Frequencies dialog box, select the variable(s) of interest, i.e., the number of times participants blinked in one minute in this case.

Step 4: Click on Charts, which will bring up the Frequencies: Charts dialog box.

Step 5: Choose the Histogram option from the list of options in the Frequencies: Charts dialog box.

Step 6: Choose the desired options for the histogram and click OK to create a histogram.

Step 7: Once you have the histogram, right-click on it and select Edit Content > Data Properties > Data Type.

Change the Data Type to Frequency and click OK to see the frequency table and the histogram. To construct the frequency table, follow the below steps:

Step 1: Open SPSS and enter the data into a new data sheet.

Step 2: Click on Analyze and then Descriptive Statistics and then Frequencies.

Step 3: In the Frequencies dialog box, select the variable(s) of interest, i.e., the number of times participants blinked in one minute in this case.

Step 4: Click on the Statistics button in the Frequencies dialog box.

Step 5: In the Statistics dialog box, select the following options: Mean, Median, Mode, Std. Deviation, Minimum, Maximum, and Range.

Step 6: Click OK to create the frequency table and get all the statistics.

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Answer:

11. 130°, obtuse angle

12. 40°, acute angle

13. 90°, right angle

14. 110°, obtuse angle

15. same as 14, I guess?

Step-by-step explanation:

questions 11, 14, 15 - an obtuse angle is an angle greater than 90° but less than 180°

question 12 - an acute angle is an angle that is less than 90°

question 13 - a right angle is exactly 90°

in question 14 the angle starts at 30° and ends at 140° so you subtract 30 from 140

hope this helps :)

the fisherman released 5 fish into the lake.To determine the initial population of the fish, we need to find the value of b in the model equation P(x) = 5b^x when x = 0 (i.e., at the time of introduction).

When x = 0, we have:

P(0) = 5b^0 = 5

So, the initial population of fish in the lake was 5. This means that the fisherman released 5 fish into the lake.

Note that the model assumes exponential growth, which may not be accurate in the long term. Factors such as competition for resources, predation, and disease can all affect the growth rate of a population. Additionally, introducing non-native species into an ecosystem can have significant ecological consequences and is often illegal due to the potential harm to native species and their habitats.

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Answer:

9.88x

Step-by-step explanation:

multiply both numbers together

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

Answer:

x=17

Step-by-step explanation:

Answer:

There will be $92,925 of interest to be paid over the 15 years.

Step-by-step explanation:

The simple interest is represented by the following equation;

Therefore, for a principal of $177,000 at a rate of 0.035 for 15 years:

There will be $92,925 of interest to be paid over the 15 years.

Using the half life of palladium, mass seven weeks after start was 0.7931 gm.

The half-life is the amount of time it takes for a quantity (of material) to fall to the cost. In nuclear physics, the phrase usually refers to how rapidly neutrons become radioactive atoms or how long stable atoms survive.

The term can also refer to any sort of hyperbolic (or, in rare situations, non-exponential) decay.

The  half life of palladium 100 = 4 days

after 24 days sample has reduced to a mass of 5mg

standard exponential function is

\(P = P_o e^{kt}\)

plugging P = P₀ /2

\(P_o/2 = P_o e^{4k }\)

\(1/2 = e^{4k }\)

ln (1/2) = 4k

k = -0.1733

function becomes

\(P = P_o e^{- 0.1733 t }\)

plugging P = 5 and t = 24

\(5 = P_o e^{( - .1733\times 24 ) }\)

P₀ = 320.10

In the medical sciences, for example, the biological half of drugs and other chemicals in the human body is referred to. The flipside of half-life is doubling time in exponential growth.

For the second part of the problem:

7 weeks = 5 × 7 =49 days

plugging t = 49

\(P = 320.10 e^{(-.1733 * 35 ) }\)

mass 7 weeks after = 0.7431 mg

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Answer:

Jason eats 1/8=0.125 pounds of candy per day and it will take him 8 days to eat 1 pund of candy Hope Im not wrong

Step-by-step explanation: