helicopters The four blades of a helicopter meet at right angles and are
all the same length. The distance between the tips of two adjacent blades
is 36 ft. How long is each blade? Round your answer to the nearest tenth.

Answer:

Step-by-step explanation:

is negative under radical which is a no-no

2i

Answer:

The square root of -4 is not -2 because

-2 x -2 = 4. A negative number times a negative number is a positive number.

The most appropriate model to represent the data in the table is (d)

From the question, we have the following parameters that can be used in our computation:

The table of values

In the above table of values, we can see that

To show as the number of miles change by day

A linear or line graph has to be plotted

Hence, the most appropriate model to represent the data is (d)

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\(y=-\cfrac{2}{3}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( -\cfrac{2}{3}x-1 \right)} \\\\\\ 3y=-2x-3\implies {\Large \begin{array}{llll} 2x+3y=-3 \end{array}}\)

The answer to the question is no, there is not convincing evidence of a difference between the population proportions.

Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.

In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.

Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.

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The answer to the question is no, there is not convincing evidence of a difference between the population proportions.

Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.

In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.

Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.

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Answer:

1/7

Step-by-step explanation:

Answer:

E. x = 4

F. x = -2

Step-by-step explanation:

Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.

Answer:

it means that the 2 lines will never meet, and that there will be no point where 2 things are the same amount

Answer: lines going in the same direction at a same space without intersecting

Step-by-step explanation:

imagine two rulers on a desk just straight. they dont touch, and they can go on forever.

a) Amount of sugar in the tank initially is 0.

b) The amount of sugar in the tank after t minutes is 13.6(1 - \(e^{\frac{4t}{1360} }\)).

c) The concentration of sugar in the solution in the tank after 60 minutes is 3.672.

a) Assign the sugar content of the tank for time t to the symbol A(t). Starting with only clean water, the tank

A(0) = 0

b) Sugar flows in at a rate of

(0.02 kg/L) × (2 L/min) = 0.04 kg/min

and flows out at a rate of

(A(t) ÷ 1360 kg/L) × (2 L/min) = (2A(t) ÷ 1360) kg/min

so that the net rate of change of A(t) is governed by the ODE,

dA(t) ÷ dt = (4 ÷ 100) - (2A(t) ÷ 1360)

A'(t) + (2A(t) ÷ 1360) = 2 ÷ 100

Multiply both sides by the integrating factor \(e^{\frac{4t}{1360} }\) to condense the left side into the derivative of a product:

\(e^{\frac{4t}{1360} }\) A'(t) + (2 \(e^{\frac{4t}{1360} }\) A(t) ÷ 1360) = 4 \(e^{\frac{4t}{1360} }\) ÷ 100

( \(e^{\frac{4t}{1360} }\) A(t))' = 4 \(e^{\frac{4t}{1360} }\) ÷ 100

Integrate both sides:

\(e^{\frac{4t}{1360} }\) A(t) = ∫ 4 \(e^{\frac{4t}{1360} }\) ÷ 100

\(e^{\frac{4t}{1360} }\) A(t) = 13.6 \(e^{\frac{4t}{1360} }\) + C

Solve A(t);

A(t) = 13.6 + C \(e^{\frac{4t}{1360} }\)

A(0) = 0, substitute the value

0 = 13.6 + C \(e^{\frac{4t}{1360} }\)

C = -13.6

so that the amount of sugar at any time t is,

A(t) =  13.6 - 13.6\(e^{\frac{4t}{1360} }\)

A(t) = 13.6(1 - \(e^{\frac{4t}{1360} }\))

c) As t → 60, the exponential term converges to 0 and is left with

\(\lim_{t \to \(60}\) A(t) = 13.6 × (1 - 0.73)

\(\lim_{t \to \(60}\) A(t) = 3.672 kgs of sugar.

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analyze problem

no need for distance formula

same x, only need to subtract y

3a-0=3a

Answer:

3a

Step-by-step explanation:

As the figure is a square, any given side will be parallel to the one that is opposite to it. Side CB is parallel to side AD, which extends from the origin point (0,0) to 3a. Given this fact, we can assume that AD has a length of 3a, and since all sides of a square are of the same length, we can assume the same length for side CB.

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

The data supports the hypothesis that the start-up costs of the two types of businesses, specialty clothing stores and coffee houses, are significantly different at a 1% significance level.

The null hypothesis (H₀): The start-up costs of specialty clothing stores and coffee houses are equal.

The alternative hypothesis (H₁): The start-up costs of specialty clothing stores and coffee houses are different.

The significance level (α) is given as 1% or 0.01.

The test statistic for a two-sample t-test is given by:

t = (x₁ - x₂) / √[(s₁²/n₁) + (s₂²/n₂)]

Plugging in the given values:

x₁ = $92,000, x₂ = $74,000, s₁ = $24,000, s₂ = $18,000, n₁ = 15 and n₂ = 12

t = (92,000 - 74,000) / √[(24,000²/15) + (18,000²/12)]

Since the significance level is 1% (0.01), we need to find the critical value for a two-tailed test with a degree of freedom equal to (n₁ + n₂ - 2).

We can use a t-table or statistical software to find this value.

For a significance level of 0.01 and degrees of freedom (15 + 12 - 2 = 25), the critical value is approximately ±2.796.

If the absolute value of the calculated t-statistic is greater than the critical value from Step 4, we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Let's calculate the test statistic:

t = (92,000 - 74,000) / √[(24,000²/15) + (18,000²/12)]

= 18,000 / √[(3,840,000/15) + (3,240,000/12)]

= 24.82

Since the absolute value of the calculated t-statistic (|24.82|) is greater than the critical value (2.796) at the 1% significance level, we reject the null hypothesis.

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Answer:

y=3x+12

Step-by-step explanation:

Answer: 39 tins of cat food.

Step-by-step explanation:

I am assuming the question is how the number of tins that can be bought.

Step 1 - Discounted price

With the discount a tin would cost;

= 80 * ( 1 - 25%)

= 60 cents

Step 2 - Packs of 6 purchased at discounted price

Every pack of 6 attracts 60 cents off which means that they are paying the price of 5 tins for 6 tins.

Price of 5 tins;

= 60 * 5

= $3

Out of $20, the number of packs of 6 he can buy are;

= 20/ 3

= 6.67

= 6 packs of 6

Step 3 - Number tins not in pack of 6 bought

If he buys 6 packs of 6 the amount of money left is;

= 20 - ( 6 * 3)

= $2

With these $2, he could buy;

= 200 cents/60 cents

= 3.333

= 3 tins

Step 4 - Total number of Tins bought

The total number of tins he can buy are therefore;

= 6 packs of 6 + 3 tins

= (6 * 6) + 3

= 39 tins of cat food.

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Answer:

$519.79

Step-by-step explanation:

The formula is:

\(PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})\)

\((100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}\)  \(+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000\)

\((100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}\) \(+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000\)

(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000

(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000

(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000

(100+x) (48.886373) (1.488864) + 4888.64 = 50000

(100+x) (72.785161) + 4888.64 = 50000

7278.5161 + 72.785161 x + 4888.64 = 50000

12167.1561  + 72.785161 x  = 50000

72.785161 x  = 50000 - 12167.1561  

72.785161 x  = 37832.8439

x = 37832.8439 / 72.785161

x = 519.787871

x = $519.79

The ordered pair given in the first row of the table can be written as (8, f(8)).

f(3) is equal to 7.

f(x) = -5 when x is -6 or -2.

The table represents a function where the input values (x) correspond to the output values (f(x)). Let's analyze the given information to complete the statements:

The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (8, f(8)). This means that when x is equal to 8, the corresponding function value is f(8).

To find f(3), we look for the row in the table where x is equal to 3. From the given table, we can see that when x is 3, the corresponding function value f(x) is 7. Therefore, f(3) is equal to 7.

Similarly, to find when f(x) is equal to -5, we look for the rows in the table where the function value is -5. From the table, we can see that when x is equal to -6 and -2, the function value f(x) is -5. Therefore, we can say that f(x) = -5 when x is -6 or -2.

In summary:

The ordered pair given in the first row of the table can be written as (8, f(8)).

f(3) is equal to 7.

f(x) = -5 when x is -6 or -2.

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Main Answer:The value of the given partial sum is 10865.  

Supporting Question and Answer:

How do you determine the common difference and the number of terms in an arithmetic sequence?

To determine the common difference in an arithmetic sequence, you subtract any term from its previous term. The difference between consecutive terms is constant and represents the common difference. To find the number of terms, you can use the formula: n = \(\frac{ (a_n - a_1)}{d + 1}\), where \(a_n\) = the last term

\(a_1\)= the  initial term

d = the common difference

n = the number of terms.

Body of the Solution:To find the value of the given partial sum, we can use the formula for the sum of an arithmetic sequence.

The formula for the total of an arithmetic sequence is:

\(S_n =\frac{n}{2} (a_1 + a_n)\)

where \(S_n\) = the total of the first n terms

\(a_1\) = the initial term

\(a_n\) = the last term.

In this case, we need to determine the sum of the arithmetic sequence -29 + (-20) + ... + 439.

To use the formula, we need to find the initial term (\(a_1\)), the last term (\(a_n\)), and the number of terms (n).

The first term= -29

the common difference between the terms=(-20 - (-29)) = 9.

To find the last term (\(a_n\)), we need to determine the term number (n) using the formula:

\(a_n = a_1 + (n-1)d\)  ,where d is the common difference.

Using the given values, we can calculate:

\(a_n\)= -29 + (n-1)(9)

To find the number of term, we can set \(a_n\) equal to 439 (the last term):

-29 + (n-1)(9) = 439

Simplifying the equation:

9(n-1) = 468

Dividing both sides by 9:

n - 1 = 52

Adding 1 to both sides:

n = 53

Now that we have the values of \(a_1, a_n\), and n, we can use the formula for the sum of an arithmetic sequence:

\(S_n = \frac{n}{2} (a_1 + a_n)\)

Plugging in the values:

\(S_(53)\) = (53/2)(-29 + 439)

\(S_(53)\) = (53/2)(410)

\(S_(53)\) = 53 * 205

\(S_(53)\)= 10865

Final Answer:Therefore, the value of the given partial sum -29 + (-20) + ... + 439 is 10865.  

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Answer: 8° per day.

Step-by-step explanation:

Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:

= 24° / 3 days

= 8° per day

Answer:

1080

Step-by-step explanation:

Answer:

97th term of arthmetic progression is

-16+ 96* 18

Step-by-step explanation:

There are 4 liters of solution are needed for the 10% acid solution.

Unitary method:

Unitary method is the way to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given,

In a chemistry class, 8 liters of a 4% acid solution must be mixed with a 10% acid solution to get a 6% acid solution.

Here we need to find how many liters of the 10% acid solution are needed.

First, we have to convert the percentage into decimal,

4% = 4/100 = 0.04

10% = 10/100 = 0.10

6% = 6/100 = 0.06

Let x be the required liter of solution.

So, based in the given details,

We have to write the equation as,

=> 0.04*8 + 0.10x = 0.06(8+x)

=> 0.32 + 0.10x = 0.48 + 0.06x

=> 0.10x - 0.06x = 0.48 - 0.32

=> 0.04x = 0.16

=> x = 0.16/0.04

=> x = 4

x = 4 liters of 10% solution is used.

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The roots of the function f ( x ) are x = 1 and x = 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - 13x³ + 38x² - 23x - 3

On simplifying , we get

The possible factors of the constant term (-3) are ±1 and ±3, while the possible factors of the leading coefficient (1) are ±1.

Now, we can test these factors by substituting them into the function and checking if the result is zero:

f(1) = (1)⁴ - 13(1)³ + 38(1)² - 23(1) - 3 = 1 - 13 + 38 - 23 - 3 = 0

f(-1) = (-1)⁴ - 13(-1)³ + 38(-1)² - 23(-1) - 3 = 1 + 13 + 38 + 23 - 3 = 72

f(3) = (3)⁴ - 13(3)³ + 38(3)² - 23(3) - 3 = 81 - 351 + 342 - 69 - 3 = 0

f(-3) = (-3)⁴ - 13(-3)³ + 38(-3)² - 23(-3) - 3 = 81 + 351 + 342 + 69 - 3 = 840

From the above calculations, we can see that f(1) = f(3) = 0. This means that x = 1 and x = 3 are roots of the polynomial function

Hence , the function is solved and x = 1 and x = 3

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The standard error of the mean is $109.38.

The standard error of the mean is a measure of the variability of sample means around the true population mean. It represents the average deviation of sample means from the population mean. The formula to calculate the standard error of the mean is: standard error = population standard deviation / square root of sample size.

In this case, the population standard deviation is given as $1,750.00, and the sample size is 256 middle managers. Plugging these values into the formula, we get:

Standard error = $1,750.00 / √256 = $1,750.00 / 16 = $109.38.

Therefore, the standard error of the mean is $109.38. This means that, on average, the sample mean of annual incomes of middle managers in the population is expected to deviate by $109.38 from the true population mean.

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No, I do not agree that non-random sampling technique is equivalent to quota sampling, which appears to be similar to stratified random sampling.

While quota sampling and stratified random sampling both involve dividing the population into subgroups or strata, they differ in terms of the sampling process.

In quota sampling, the researcher sets specific quotas or targets for each subgroup based on certain characteristics, such as age, gender, or occupation. The sampling process involves non-random selection within each subgroup until the quotas are fulfilled. Quota sampling does not involve a random selection of participants within each subgroup, making it a non-random sampling technique.

On the other hand, stratified random sampling is a true random sampling technique. It also involves dividing the population into strata based on certain characteristics, but in stratified random sampling, the selection of participants within each stratum is done randomly. This random selection ensures that every member of the population has an equal chance of being included in the sample, which helps to reduce bias and increase the representativeness of the sample.

So, while both quota sampling and stratified random sampling involve dividing the population into subgroups, the key difference lies in the selection process. Quota sampling involves non-random selection within each subgroup, whereas stratified random sampling involves random selection within each stratum.

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Therefore, the projectile goes approximately 6.9 × 10^6 meters or 6,900 kilometers high.

Let's first convert the initial speed from km/hr to m/s to be consistent with the unit of acceleration due to gravity.

1.30×10^4 km/hr = (1.30×10^4 × 1000 m/km) / (3600 s/hr) = 3611.11 m/s

We can use the kinematic equation: Δy = v0t + 1/2at^2 to determine the maximum height reached by the projectile. At the highest point, the velocity is zero, so we can use the fact that v = v0 + at = 0 to find the time it takes to reach the maximum height.

v0 = 3611.11 m/s (initial velocity)

a = -9.81 m/s^2 (acceleration due to gravity)

t = -v0/a = -3611.11/(-9.81) = 367.97 s (time to reach maximum height)

Now we can use the time to find the maximum height reached:

Δy = v0t + 1/2at^2 = 3611.11 × 367.97 + 1/2 × (-9.81) × (367.97)^2 ≈ 6.9 × 10^6 meters

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Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

Answer:

5 7th Graders

Step-by-step explanation:

Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders

Answer:

Step-by-step explanation:

sorry I don't know

Answer:

Hey there!

The range is the possible y-values of any function. That's the definition, but identifying range takes practice, so let me know if you need any help with that.

Hope this helps :)