Given cosθ=3/5 and 270°<θ<360° , find the exact value of each expression.

csc 2θ

Answer:

V = l x w x h

Step-by-step explanation:

Answer:What's wrong with this Question ?

Step-by-step explanation:

Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

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Answer:

y = 3x -10

Step-by-step explanation:

Use the method \(\frac{rise}{run}\).

I took a screenshot of the graph below, as an example of the rise over run method.

3 ÷ 1 = 3

To find the y intercept, count down on the graph until you reach the point where the line crosses.

In this case, the line crossed at -10 on the y-axis.

(Look at the second image)

So plug the numbers into the equation, and then you get y = 3x -10.

Answer:

a = 8

Step-by-step explanation:

45° - 45° - 90° triangle

1 - 1 - √2

8 - 8 - √8

The number of degrees of freedom for the two-sample t test or confidence interval (CI) in the given situation is 23.

In a two-sample t test or CI, the degrees of freedom (df) can be calculated using the formula:

df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1 - 1) + ((s2^2/n2)^2)/(n2 - 1)]

Here, m represents the sample size of the first group, n represents the sample size of the second group, s1 represents the standard deviation of the first group, and s2 represents the standard deviation of the second group.

Substituting the given values, we have:

df = [(4.0^2/12 + 6.0^2/15)^2] / [((4.0^2/12)^2)/(12 - 1) + ((6.0^2/15)^2)/(15 - 1)]

  = [(0.444 + 0.24)^2] / [((0.444)^2)/11 + ((0.24)^2)/14]

  = [0.684]^2 / [0.0176 + 0.012857]

  = 0.4682 / 0.030457

  ≈ 15.35

Rounding down to the nearest whole number, we get 15 degrees of freedom.

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Answer:

-3p^3+7p^2-3

Step-by-step explanation:

Step-by-step explanation:

\( \frac{6 {}^{2} }{ \sqrt[3]{6} } \)

\( \frac{6 {}^{2} }{6 {}^{ \frac{1}{3} } } \)

\(6 {}^{ \frac{5}{3} } \)

I think the answer is B.

But my second choice would be C.

Answer:

the answer is the letter D

In this problem, and in general statistics, z represents the standard score of the data.

This standard score is the number of standard deviations that there are above or below a sample.

We have the mean: 173.38 cm

and the standard deviation: 8.78 cm

We first determined the standard score for the tallest living man:

We obtain the difference between this sample and the mean:

Then we calculate how many standard deviations are in this difference:

Then the standard score for the tallest living man is 9.87

We need to do the same to the shortest living man:

Remember that if the sample is minor than the mean we take the absolute value.

Then the standard score:

Then the standard score for the shortest living man is 7.38

The height that was more extreme is the height that has a standard score major, then we can conclude:

The standard score for the tallest living man is 9.87

The standard score for the shortest living man is 7.38

And the height that was more extreme is the tallest living man's height

The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

Step-by-step explanation:

Based on this information, the 90% confidence interval for the population mean is estimated to be ($115.68, $120.00), while the 95% confidence interval is estimated to be ($115.05, $120.63). The widths of the confidence intervals indicate the level of uncertainty associated with the estimates, with the 95% confidence interval being wider than the 90% confidence.

To construct confidence intervals for the population mean, we need to consider the sample mean, the population standard deviation, and the desired level of confidence. In this case, the sample mean of $117.84 and the population standard deviation of $9.92 are provided.

For a 90% confidence interval, we use the standard formula:

Confidence Interval = Sample Mean ± (Z * (Standard Deviation / √Sample Size)).

The critical value (Z) for a 90% confidence interval is 1.645 (corresponding to a two-tailed test). Plugging in the values, we find the lower bound of the 90% confidence interval to be $115.68 and the upper bound to be $120.00.

For a 95% confidence interval, the critical value (Z) is 1.96. Applying the same formula, we obtain the lower bound of the 95% confidence interval as $115.05 and the upper bound as $120.63.

Interpreting the results, we can say that we are 90% confident that the true population mean falls within the range of ($115.68, $120.00), and we are 95% confident that the true population mean falls within the range of ($115.05, $120.63). The wider width of the 95% confidence interval indicates a higher level of confidence but also reflects increased uncertainty compared to the 90% confidence interval. In other words, the 95% confidence interval provides a larger range of possible values for the population mean, accounting for a greater margin of error.

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50%

since 98/2 = 49

Thats it

After estimating 48 ÷ 7, we get the result as 7.

We are given an expression

48 ÷ 7

We need to estimate the result.

First, we will divide 48 by 7

So, we get that:

48 ÷ 7 = 6.857

Now we will estimate it.

We will round of the result.

as 6 > 5, we will get it as:

48 ÷ 7 ≈ 7

Therefore, after estimating 48 ÷ 7, we get the result as 7.

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Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

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The rate of pour in feet per hour is approximately 2.51 feet per hour.

First, we need to convert the dimensions to feet:

Length = 151 feet 4 inches = 151.33 feet

Height = 14 feet

Thickness = 16 inches = 1.33 feet

Next, we need to calculate the volume of the wall:

Volume = Length x Height x Thickness

Volume = 151.33 x 14 x 1.33

Volume = 2813.89 cubic feet

To convert cubic feet to cubic yards, we divide by 27:

Volume = 2813.89 / 27

Volume = 104.22 cubic yards

Given the daily placement rate of 375 cubic yards per 8-hour day, we can calculate the rate of pour in cubic yards per hour:

Rate of pour = 375 / 8

Rate of pour = 46.88 cubic yards per hour

Finally, we can convert the rate of pour to feet per hour by dividing by the cross-sectional area of the wall:

Cross-sectional area = Height x Thickness

Cross-sectional area = 14 x 1.33

Cross-sectional area = 18.62 square feet

Rate of pour in feet per hour = Rate of pour in cubic yards per hour / Cross-sectional area

Rate of pour in feet per hour = 46.88 / 18.62

Rate of pour in feet per hour ≈ 2.51 feet per hour

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The dissimilar fractions and similar fractions are noted as follows:

1. \(\frac{2}{3} $ and $ \frac{1}{3}\) - Similar (S)

2. \(\frac{3}{4} $ and $ \frac{1}4}\) - Similar (S)

3. \(\frac{4}{7} $ and $ \frac{7}{8}\) - Dissimilar (D)

4. \(\frac{2}{5} $ and $ \frac{5}{11}\) - Dissimilar (D)

5. \(\frac{7}{13} $ and $ \frac{7}{9}\) - Dissimilar (D)

Note:

Thus:

1. \(\frac{2}{3} $ and $ \frac{1}{3}\) - They have equal denominator. Both fractions are similar (S).

2. \(\frac{3}{4} $ and $ \frac{1}4}\) - They have equal denominator. Both fractions are similar (S).

3. \(\frac{4}{7} $ and $ \frac{7}{8}\) - They have equal denominator. Both fractions are dissimilar (D).

4. \(\frac{2}{5} $ and $ \frac{5}{11}\) - They have equal denominator. Both fractions are dissimilar (D).

5. \(\frac{7}{13} $ and $ \frac{7}{9}\) - They have equal denominator. Both fractions are dissimilar (D).

Therefore, the fractions in 1 and 2 are similar (S) while those in 3, 4, and 5 are dissimilar (D).

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EXPLANATION

Given the dimensions of a rectangular prism:

Length = 113 yards

Width: 212 yards

Height: 4 yards

We have to find its volume.

The volume of a prism is the product of its dimensions,

Hence, the volume of this prism is 95,824 cubic yards.

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.

The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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Answer:

The approximated measure of this angle is 90°, so this may be a right angle.

Place a sheet of paper so that the corner corresponds to the angle. You will notice that the lines will closely align with the edges of the paper.

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Mrs Smith will be responsible for paying $75.00. This is the final amount that she will need to pay after receiving a credit of $35.00 for the difference between the normal charge and the current balance.

To determine how much Mrs Smith will be responsible for paying, we need to first calculate the difference between the normal charge of $40.00 and the current balance of $110.00. This difference is equal to $110.00 - $40.00, or $70.00.

Next, we need to calculate the credit that Mrs Smith will receive, which is equal to 50% of the difference. The credit can be calculated using the following formula:

Credit = 50% * difference

Plugging in the values, we get:

Credit = 50% * $70.00

Performing the calculation, we find that the credit is $35.00.

To find the amount that Mrs Smith will be responsible for paying, we need to subtract the credit from the current balance. This can be done using the following formula:

Amount due = current balance - credit

Plugging in the values, we get:

Amount due = $110.00 - $35.00

Performing the calculation, we find that Mrs Smith will be responsible for paying $75.00. This is the final amount that she will need to pay after receiving a credit of $35.00 for the difference between the normal charge and the current balance.

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Answer:

-n+t equal to 6 is the answer to that question

Answer:

Part 1

\(\boxed{r = 8.9 \;cm}\)

Part 2

\(\boxed{SA=995.4\;cm^2}\)

Step-by-step explanation:

If r is the radius of a sphere

Volume of a sphere:
\(V = \dfrac{4}{3}\pi r^2\)

Surface Area
\(SA = 4\pi r^2\)

Part 1
We are given volume = 3,000 cm³

Setting this to volume to the equation for volume gives
\(3000 = \dfrac{4}{3} \pi r^3\\\\\)

Multiplying both sides by 3/4 yields

\(\dfrac{3}{4}\cdot 3000 = \pi r^3\\\\2250 = \pi r^3\\\\r^3 = \dfrac{2250}{\pi}\\\\r^3 \approx 716.1972\\\\\\r = \sqrt[3]{716.1972} \\\\r = 8.947\\\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{r = 8.9 \;cm}\\\\\text{(Answer\;Part 1)}\\\)

Part 2

Using r = 8.9 cm we can compute the surface area SA using the formula for surface area

\(SA = 4\pi r^2\\\\SA = 4\pi (8.9)^2\\\\SA = 995.38\;cm^2\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{SA=995.4\;cm^2}\\\\\textrm{(Answer Part 2)}\)

Answer:

166

Step-by-step explanation:

1) the area of triangles on the left and right sides: 2*13

2) the area of triangles on top and bottom sides: 10*12

3) the area of the rectangle in the middle: 10*2

4) Altogether: 2*13+10*12+10*2=166

In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

The definite integral of ∫(3x⁴)dx can be found by using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum: ∫(3x⁴)dx = lim n→∞ [3(x1⁴)Δx + 3(x2⁴)Δx + ... + 3(xn⁴)Δx], where Δx = (b-a)/n and xi = a + iΔx for i = 0, 1, ..., n. By simplifying this expression and taking the limit as n approaches infinity, we can find the exact value of the definite integral. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). Applying this theorem, we can find an antiderivative of 3x^4, which is (3/5)x⁵, and evaluate it at the limits of integration: ∫(3x⁴)dx = [(3/5)x⁵]3⁰ = 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum and simplify the expression to find the exact value. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). By finding an antiderivative of 3x⁴)and evaluating it at the limits of integration, we can obtain the exact value of the integral. In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

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