Last math question please help thank you

Answer:

Yes

Step-by-step explanation:

The given length of sides are \(5\) feet, \(6\) feet, and \(9\) feet.

For these sides to form a triangular truss, the sum of any two sides must be greater than the third side.

Here, \(5+6=11\) which is greater than \(9\), the third side.

Similarly, \(6+9=15\) which is greater than \(5\), and \(5+9= 14\) which is greater than \(6\).

So, this satisfies the conditions to the three sides to form a triangle.

Hence, yes, the triangular truss can be made by the given three sides.

Using sampling concepts, the population being studied is all visitors that are flying to the state of Hawaii.

The problem is incomplete, but researching it on a search engine, it asks for us to identify who is the population of this study.

In this problem, a set of visitors traveling to Hawaii were sampled, hence the population being studied is all visitors that are flying to the state of Hawaii.

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How much time did you spend in line, question 1? is a direct response to the second question, "Do you like hot or cold?" is a vague query.

An inquiry that lacks focus on a particular subject area and is wide, ambiguous, unclear, and nebulous in nature. You won't be able to adequately analyze the data acquired at the end of the day if your survey has ambiguous questions.

You should use specific language in your survey questions, so make sure to do so. Additionally, make sure to refrain from using technical jargon and terminology that few people can normally grasp in your surveys.

Questions that are excessively general or insufficiently specified are ambiguous or vague. Generic responses that aren't pertinent to your research are frequently the outcome. Make sure your survey questions are written simply and in a way that respondents will find them simple to understand in an effort to avoid vague survey questions.

Typical Vague Questions

Do you believe our clients would advocate for us?

Are we superior to other ed-tech businesses?

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p=paul's height

s=steve's height

t=theresa's height

p=s

1 and 1/2=3/2

1 and 1/3=4/3

p=-16+(3/2)t

s=-6+(4/3)t

p=s so

-16+(3/2)t=-6+(4/3)t

add 6 to both sides

-10+(3/2)t=(4/3)t

times both sides by 6 to clear fractions

-60+9t=8t

minus 9t both sides

-60=-t

times -1

60=t

t=60

theresa is 60 inches or 5ft

steve and paul are 84 inches or 7ft (wow!)

A. 6x²-2x+5, is the quotient of the polynomial.

Answer:

x = -6, y = -2

Step-by-step explanation:

2x-7y = 2

3x + y = -20

We need to cancel out either x or y to solve the equation. I'll cancel out x first

3(2x-7y = 2)

-2(3x+y=-20)

___________

6x-21y = 6

-6x -2y = 40

____________

-23y = 46

y = -2

Plug the value for y in one of the 2 equations to solve for x

2x -7(-2) = 2

2x+14=2

2x = -12

x=-6

$200 of the first payment would represent interest.

To find out how much of the first payment would represent interest, let's first calculate the total amount of interest that will accrue over the entire repayment period. We can then divide that by the total number of payments and determine how much of each payment goes towards interest.

Given:

Loan Amount (Principal)= P = $10,000

Rate of Interest=R = 6% = 0.06

Number of Payments=n = 3 x 8 = 24 (Three installments per year for 8 years)

Using the formula for compound interest, we can calculate the total amount to be paid back:

A = P (1+r/n)^(n*t) Where,

P = Principal,

r = Rate of Interest,

n = Number of times interest is compounded per year,

t = Time (in years)

      Firstly, let's calculate the amount of interest to be paid over the entire repayment period. We can use the formula

  I = P*r*t, where

I is the amount of interest earned,

P is the principal amount,

r is the rate of interest per year

t is the time period in years.

I = P*r*t = $10,000 x 0.06 x 8 = $4,800

     This means that over the entire repayment period, the borrower will pay $4,800 in interest. We can now find out how much of the first payment represents interest.

   The borrower will make 24 payments, so we can divide the total interest by 24 to find out how much of each payment goes towards interest:

    $4,800 ÷ 24 = $200

Therefore, $200 of the first payment would represent interest.

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Given

3.8y+5.6y-2=2.7

Find

Solve

Explanation

3.8y+5.6y-2=2.7

Final Answer

Hence , the value of y is 0.5

Answer:

y = 1/2

Step-by-step explanation:

3.8y+5.6y-2=2.7

Solve for y

Combine like terms

9.4y-2=2.7

Add 2 to each side

9.4y-2+2=2.7+2

9.4y = 4.7

Divide each side by 9.4

9.4y / 9.4 = 4.7/9.4

y = 1/2

Answer:

- 1

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [ - 5, 6 ] , then

f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19

f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30

Then

average rate of change = \(\frac{19-30}{6-(-5)}\) = \(\frac{-11}{6+5}\) = \(\frac{-11}{11}\) = - 1

Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

f(c) = 7 for at least one c in the open interval (-13, -5).

The correct answer is "f(c) = 7 for at least one c in the open interval (-13, -5)."

The Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b], and it takes on two values, say y1 and y2, then it must also take on every value between y1 and y2.

In this case, we have f(-13) = 4 and f(-5) = 11. The function f is continuous on the closed interval [-13, -5]. Since 4 is less than 7 and 11 is greater than 7, by the Intermediate Value Theorem, there must exist at least one point c in the open interval (-13, -5) where f(c) = 7.

Therefore, the correct statement is "f(c) = 7 for at least one c in the open interval (-13, -5)."

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The questions doesn't really specify much here is as much I can say.

Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).

20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.

Best of Luck!

Answer:

your mom

Step-by-step explanation:

get rekt

Can i have brainliest

Answer: x=  

6

7

​

=1  

6

1

​

≈1.166666667

y=−  

9

14

​

=−1  

9

5

​

≈−1.555555556

Step-by-step explanation:

The critical point x = log2(5) is a local maximum of f(x), and therefore the curve is steepest at x = log2(5) ≈ 2.322.

The logistic function f(x) = 140 / (1 + 5(2)^-x) is an S-shaped curve that approaches an asymptote of y = 140 as x approaches infinity or negative infinity. The slope of the curve at any point x can be found by taking the derivative of f(x):

f'(x) = (700 ln(2) (2)^-x) / (1 + 5(2)^-x)^2

To find the x-value where the curve is steepest, we need to find the maximum value of f'(x). We can do this by finding the critical points of f'(x) (where f'(x) = 0 or is undefined) and checking the sign of f''(x) at those points.

Setting f'(x) = 0, we get:

700 ln(2) (2)^-x / (1 + 5(2)^-x)^2 = 0

This equation is satisfied when (2)^x = 5, or x = log2(5) ≈ 2.322. This is a critical point of f'(x).

To check whether this critical point is a maximum, minimum, or inflection point, we need to find the sign of f''(x) at x = log2(5). We can do this by taking the derivative of f'(x):

f''(x) = (3500 ln(2) (2)^-2x (2)^-x (2 + 5(2)^-x)) / (1 + 5(2)^-x)^3

Plugging in x = log2(5), we get:

f''(log2(5)) = -787.5 ln(2) / 25 < 0

Therefore,x = log2(5) is local minimum.

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Answer: 16

Step-by-step explanation:

Unless snap cube is a different term for something I'm unaware of, this is simple division.

64 (total snap cubes) / 4 (groups) = 16 snap cubes per group

Answer: 1 tablespoon

Step-by-step explanation:

The substantive audit sampling technique uses a statistical sampling approach is Sampling or MUS.

Sampling is a powerful tool in auditing as it allows the auditor to make conclusions about the population without having to test all the transactions, balances or data.

Substantive audit sampling refers to the use of samples in an audit process to make conclusions about a population of transactions, balances or other data.

There are three main substantive audit sampling techniques: Stratified Sampling, Attribute Sampling and Monetary Unit Sampling.

Monetary Unit Sampling or MUS is a statistical sampling approach that focuses on the monetary value of transactions.

The auditor will select a sample of transactions and calculate the expected deviation rate.

This technique is used when the auditor is focused on testing material balances and ensuring that they are correct.

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Given the perimeter and area of a rectangle you have to determine its possible width and length.

The perimeter of the rectangle can be calculated as:

The area of the rectangle can be calculated as:

With this we have determined an equation system:

First step: write the first equation in terms of the length:

Second step: replace the expression obtained in the second formula:

Third step solve the term in parentheses by applying the distributive property of multiplication

Fourth step, equal to zero and solve using the quadratic formula:

This is a quadratic expression where

a=-1

b=36

c=-288

The quadratic formula is

Replace with the coefficients to calculate the possible values of the width

Fifth step, calculate both possible values for w:

Positive:

Negative:

So the possivle values for the width are:

w₁=12ft

w₂=24ft

With this, calculate the possible lengths

Length one:

Length two:

So the possible values of width and length of the rectangle are:

w₁=12ft, l₁=24ft

w₂=24ft, l₂=12ft

To evaluate the given integral, the most helpful substitution is x = 15 sec θ. The rewritten integral will be dx = 15 sec θ tan θ dθ / (225 + 225 sec² θ)².

In trigonometric substitution, we choose a substitution that simplifies the integral by transforming it into a form that can be easily evaluated using trigonometric identities. In this case, the most helpful substitution is x = 15 sec θ.

To rewrite the integral, we need to express dx in terms of θ. Since x = 15 sec θ, we can differentiate both sides with respect to θ to find dx. The derivative of sec θ is sec θ tan θ, so we have dx = 15 sec θ tan θ dθ.

Substituting this expression for dx and rewriting (225 + x²)² in terms of θ, we obtain:

∫(x² dx) / (225 + x²)² = ∫[(15 sec θ)² (15 sec θ tan θ dθ)] / (225 + (15 sec θ)²)².

Simplifying further, we get:

∫(225 sec² θ tan θ dθ) / (225 + 225 sec² θ)².

This is the rewritten form of the integral using the substitution x = 15 sec θ.

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The correct answer value of the standardized test statistic (Z) is option A)1.77

Sample statistics,n = 50 and x¯ = 15.3Assume the population standard deviation is 1.2Level of significance,α = 0.05We need to test the claim that μ ≥ 15We can use the Z-test to test the given hypothesis where the test statistic is given as follows: Z = (x¯ - μ) / [σ / √(n)]Hestatisticsre,σ = 1.2, n = 50, x¯ = 15.3 and μ = 15 (Null Hypothesis).

Hence, Z = (15.3 - 15) / [1.2 / √(50)]Z = 1.7677The value of the standardized test statistic (Z) is 1.77 (approx).Therefore, the correct option is A) 1.77.

Note: Here, we have used the population standard deviation to calculate the test statistic. If the population standard deviation is unknown, we use the sample standard deviation instead.

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Answer:

Standard form:: Ax + By=C

Step-by-step explanation:

Answer:

64 poles

Step-by-step explanation:

Given the question :

Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?

Dimension of rectangular field = 100m by 60m

Length = 100m ; breadth = 60m

Since it is erected around the corners of the field, we need to calculate the entire perimeter of the rectangular field.

Perimeter of a rectangle : 2( length + breadth)

Perimeter = 2(100 +60) = 2(160) = 320m

Since the posts are erected 5m apart, the number of post needed will be :

Perimeter / 5

= 320 / 5

= 64 poles

The probability of the number of systems sold being more than 2 standard deviations from the mean will depend on the sample size and the sample statistics.

In the event that we need to discover the probability that the number of systems sold is more than 2 standard deviations from the cruel, we ought to discover the zone beneath the typical bend past 2 standard deviations from the cruel in both headings (i.e., within the tails).

Agreeing to the observational run of the show (moreover known as the 68-95-99.7 run of the show), roughly 95% of the perceptions in a typical conveyance drop inside 2 standard deviations of the cruel. Hence, the likelihood of a perception being more than 2 standard deviations from the cruel is roughly 1 - 0.95 = 0.05.

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Answer: B. 24

Step-by-step explanation:

275+325= 600

600/25 = 24

Hence, 24 is the outcome

B. 24 is your answer

The crying manchild can choose the 5 lollypops in 32 different ways.

The doctor allows a crying manchild to pick 5 lollypops from a bin that has an unlimited number of cherry, grape, lemon, and orange lollies. All pops of a particular color are essentially identical. To find out how many different ways the crybaby can choose these lollipops, we need to use the concept of combinations.

There are four types of lollies: cherry, grape, lemon, and orange. We can choose these types of lollies in 4C1 ways (which is equivalent to 4). For each type of lolly, the manchild can either choose that lolly or not. Therefore, we have two choices for each type of lolly.

Using the multiplication principle, we can multiply the number of choices for each lolly to get the total number of ways the manchild can choose the lollipops.

Thus, the total number of ways the manchild can choose the lollipops is:4 x 2 x 2 x 2 x 2 = 32 ways.

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Answer:

\((x-4)^2+(y+7)^2=43\)

Step-by-step explanation:

The standard equation of a circle is given by:

\((x-h)^2+(y-k)^2=r^2\)

Where (h, k) is the center and r is the radius.

We are given that the center is (4, -7) and that the radius is √(43).

So, h = 4, k = -7, and r = √(43). Substitute:

\((x-(4))^2+(y-(-7))^2=(\sqrt{43})^2\)

Simplify. Hence, our equation is:

\((x-4)^2+(y+7)^2=43\)

The total line integral over c is: ∫c xy dx + (x − y) dy = ∫c1 xy dx + (x − y) dy + ∫c2 xy dx + (x − y) dy = 0 + 15√5/5 = 3√5.

To evaluate the line integral of the given curve, we need to split the integral into two parts corresponding to the line segments. Let's denote the first line segment as C1 and the second as C2. For C1, the curve goes from (0, 0) to (3, 0). Since y is constant (y = 0) along this segment, dy = 0, and the integral simplifies to:
∫(C1) xy dx = ∫(0 to 3) x*0 dx = 0 (because y = 0)
For C2, the curve goes from (3, 0) to (4, 2). We can parameterize this segment as x = 3 + t, y = 2t, where t goes from 0 to 1. Then, dx = dt and dy = 2 dt. Now, we can rewrite the integral:
∫(C2) xy dx + (x - y) dy = ∫(0 to 1) [(3 + t)(2t) dt + ((3 + t) - 2t)(2 dt)]
Now, evaluate the integral:
= ∫(0 to 1) [6t² + t³ + 2(3 + t - 2t) dt]
= ∫(0 to 1) [6t² + t³ + 6 dt - 2t dt]
= ∫(0 to 1) [6t² + t³ + 6 - 2t] dt
Finally, integrate with respect to t and evaluate the limits:
= [2t³ + (1/4)t⁴ + 6t - t²] (from 0 to 1)
= (2 + 1/4 + 6 - 1) - (0)
= 7.25
So, the total line integral is the sum of the integrals along the two line segments:
∫C = ∫(C1) + ∫(C2) = 0 + 7.25 = 7.25

To evaluate the line integral ∫c xy dx + (x − y) dy, where c consists of line segments from (0, 0) to (3, 0) and from (3, 0) to (4, 2), we need to break up the curve c into two line segments and apply the line integral formula for each segment.
First, consider the line segment from (0, 0) to (3, 0). This segment lies along the x-axis and is parameterized by x = t and y = 0, where 0 ≤ t ≤ 3. Thus, dx = dt and dy = 0, and we have:
∫c1 xy dx + (x − y) dy = ∫0^3 t(0) dt + (t − 0)(0) dt = ∫0³ 0 dt = 0
Next, consider the line segment from (3, 0) to (4, 2). This segment is parameterized by x = 3 + t/√5 and y = 2t/√5, where 0 ≤ t ≤ √5. Thus, dx = dt/√5 and dy = 2dt/√5, and we have:
∫c2 xy dx + (x − y) dy = ∫0√5 (3 + t/√5)(2t/√5)(dt/√5) + (3 + t/√5 − 2t/√5)(2dt/√5)
= ∫0√5 (6t/5) dt/5 + (3 + t/√5 − 2t/√5)(2dt/√5)
= ∫0√5 (6t/25) dt + (6/√5)(dt/√5)
= (3/25)(√5)² + (12/5)(√5)
= 3√5/5 + 12√5/5
= 15√5/5
Therefore, the total line integral over c is: ∫c xy dx + (x − y) dy = ∫c1 xy dx + (x − y) dy + ∫c2 xy dx + (x − y) dy = 0 + 15√5/5 = 3√5

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Answer:

5

Step-by-step explanation:

H                       15                          J

------------------------------------------------

         5           I                10

15-10 =5