someone please help me

3) Put these fractions and decimals on a number line.

0.5 1/3 0.15 1.2

<-------------------------------------->​

Answer:

880 cm²

Step-by-step explanation:

Given that :

Curved surface area of a cone : πrl

r = base Radius = 14 cm

l = slant height = 20 cm

Hence,

Curved surface area = π * 14 * 20

Curvwd surface are = π * 14 * 20

Curved surface area = 879.64594 cm²

Curved surface area = 880 cm²

The equation of the line is y+x+1=0.

It is required to find the equation of the line.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The given line is

y=-x-5.

Slope of line

y+x-5=0

We have to find the  equation of the line.

According to given question we have

Slope =-1

Thus the slope of the required line is

-1

The point (5, -6)

The equation of the line is

  y+6=-1​(x−5)

=>y+6=-x+5

=>y+x+1=0

Therefore, the equation of the line is y+x+1=0.

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If the raft travels the distance between ports a and b after 30 hours and the motorboat travels the distance in 6 hours. After the departure the two boats will after 5 hours 4 minutes.

Given that,

After leaving the port,

Raft travels the distance between a and b ports = 30 hours

Motorboats travels the distance between a and b ports = 6 hours

The triangle formed by their tracks and the line joining their current positions in a right angled triangle.

According to the Pythagoras Theorem,

    a² + b² = c²

⇒ (30)²+ (6)² = c²

⇒ 900 + 36 = c²

⇒ 936 = c²

⇒ c = √936

⇒ c = 30.59

Rounding up 30.59 in 30.6.

Therefore, the boats will the two meet by 30 hours and 6 minutes after they leave the port.

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Answer:

Step-by-step explanation:

103.8 seconds

68.11024 inches

Answer:

Rectangular plot: 2160m by 1080m

Length of Vegetable Garden: 360m

Step-by-step explanation:

Rectangular plot:

l = 2x

Perimeter of a rectangle = 2(l + b)

Since x is the breadth of the rectangular plot

2( l + x) = 6480m

l + x = 3240m

2x + x = 3240m

3x = 3240m

x = 1080m

Therefore, the rectangular plot dimension is (2160m by 1080m)

Vegetable Garden:

Perimeter of a square = 4y

4y = 1440m

y = 1440m / 4

y = 360m

Therefore the length of the vegetable garden is 360m

Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.

In this simulation, we are assuming that 40% of community college students never use tutoring services. We are interested in calculating the proportion of students who do not use tutoring services in random samples taken from this population.

To simulate this, we can use a random number generator to select samples from the population. For each sample, we count the number of students who do not use tutoring services and calculate the proportion.

Here are the steps to conduct this simulation:

1. Determine the sample size you want to use. Let's say you want to use a sample size of 100 students.

2. Use a random number generator to select 100 students from the population. Assign a value of 0 to those who do not use tutoring services and 1 to those who do.

3. Count the number of students with a value of 0 (who do not use tutoring services) in the sample.

4. Calculate the proportion of students who do not use tutoring services by dividing the count from step 3 by the sample size. Multiply the result by 100 to express it as a percentage.

5. Repeat steps 2-4 for a large number of samples, such as 1000 samples.

6. Finally, calculate the average proportion of students who do not use tutoring services across all the samples.

By conducting this simulation, we can estimate the proportion of students who do not use tutoring services based on the assumption that 40% of the population falls into this category.

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An organized list of all the possible color combinations for the car is g1, g2, g3, g4

h1, h2, h3, h4

j1, j2, j3, j4

There are a total of 3 exterior colors (g, h, j) and 4 interior colors (1, 2, 3, 4), so there are 3*4 = 12 total possible color combinations for the car. Here is an organized list of all the possible color combinations:

g1, g2, g3, g4

h1, h2, h3, h4

j1, j2, j3, j4

This means that a car can have exterior color g and interior color 1, exterior color h and interior color 2, and so on. There are a total of 12 possible color combinations in this case.

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You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

As per the standard deviation, the average number of hours per week spent studying for students at her college is less than 17 hours per week.

The term standard deviation is defined as the statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Here we have given that one faculty member in statistics believed the average number of hours/week spent studying stat 200 was 4, but most other faculty members think it is less than 4. the faculty want to see if the average is less than 4. (the sample average was 3.7 hours/week with a sample standard deviation of 1.8 hours/week) and we need to find analysis should they use.

While we reading the question, we know that

Sample average = 3.7

Standard deviation = 1.8

Then the null and alternative hypothesis is written as,

p-value = P(z ≤ 29.07) = 1.0000

Rejection Rule is Reject H0 if p-value < a

p-value 1.0000 > a = 0.05

Therefore,  the conclusion said that here we do Not Reject H0

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Answer:

Step-by-step explanation:

so we are told that he deposited 7/9 of  his money.  that mean the remaining is  2/9.   because 9/9 - 7/9 = 2/9   get it?

we are also told that 2.50 = 2/9 of his pay

so use that info to find the total pay

also using my calculator tells me that 2/9 = 0.22222222222222222222

knowing that,  we can divide 2.50 by 0.222222222222

2.50 / 0.2222222222  = 11.25

we now know that  2.50 is 0.222 of  11.25

if you want to check your answer just multiply 11.25 x .222222222  to see if you get 2.50

Do you understand?

Answer:

Step-by-step explanation:

The domain is all of the x's in the graph. The graph starts at 3 (look at the x-axis) and just gets bigger from there. So the answer is that the domain is all the x's that are 3 and bigger...

That is written [3, infinity) in interval notation or in set notation that is:

{x|x>= 3} that is the 3rd answer in your screen.

Answer:

46.25

Step-by-step explanation:

18.50/2=9.25

9.25x5=46.25

I hope this helps :)

ANSWER:

-17/32, -18/32, -19/32, -20/32, -21/32, -22/32

EXPLANATION:

-4/8 and -3/4

-4*4/8*4 and -3*8/4*8

-16/32 and -24/32

There are 8 numbers between -16/32 and -24/32. You can write any six of it.

\(\blue{\boxed{\bold{\mathbb{SOLUTION}}}}\)

\(\begin{aligned} y &= 4x-2 \\ -4x+y &= -2 \end{aligned}\)

Then, \(Ax+By=C \implies -4x+y=-2\).

So, \(A=-4, B=1, C=-2\).

Now, identify the x-intercept (y = 0):

\(y=4x-2\\0=4x-2\\2=4x\\x=\dfrac{2}{4}\\x=\dfrac{1}{2}\\ \therefore \left( \dfrac{1}{2} , 0 \right)\)

y-intercept (x = 0):

\(y=4x-2\\y=4(0)-2\\y=2\\\therefore (0,2)\)

Slope:

We know that \(y=4x-2\). the the slope \(m=4\) (x coefficient).

\(\aqua{\boxed{\mathfrak{Thank \: You}}}\\\aqua{\boxed{\boxed{\mathfrak{answered \: by: \: akbarsdtazm}}}}\)

Answer: $2400

Step-by-step explanation:

Given

Interest earned is $450

The rate of interest is R=7.5%

Time period T=2.5 years

Simple Interest is given by

\(S.I.=\dfrac{P\times R\timesT}{100}\quad [\text{P=Principal}]\)

Substitute values

\(450=\dfrac{P\times 7.5\times2.5}{100}\\\\P=\dfrac{450\times 100}{7.5\times 2.5}=\$2400\)

Answer:

(3x+7x-532-12)=(x-4)

(10x-520)=(x-4)

10x-x=-4+520

9x=516

9x/9=516/9

x=57.333333

Answer:

Step-by-step explanation:

To calculate the amount of radon-222 remaining after a certain number of days, we can use the formula:

Remaining amount = Initial amount * (1 - decay rate)^number of days

Given that the decay rate is 17.3% per day, we can express it as 0.173 in decimal form.

After 7 days:

Remaining amount = 165 mg * (1 - 0.173)^7

Remaining amount ≈ 165 mg * (0.827)^7

Remaining amount ≈ 165 mg * 0.306

Remaining amount ≈ 50.430 mg

Therefore, approximately 50.430 mg of radon-222 will remain after 7 days.

After one year (365 days):

Remaining amount = 165 mg * (1 - 0.173)^365

Remaining amount ≈ 165 mg * (0.827)^365

Remaining amount ≈ 165 mg * 0.000668

Remaining amount ≈ 0.110 mg

Therefore, approximately 0.110 mg of radon-222 will remain after one year.

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Let the cost of 1 pound of zucchini be 'z' and the cost of 1 pound of tomatoes be 't'. We can set up two equations using the given information:

9z + 6t = 21.15 (equation 1)

4z + 3t = 9.83 (equation 2)

We can solve for 'z' and 't' using the method of substitution:

From equation 2, we can express 4z as 9.83 - 3t:

4z = 9.83 - 3t

Substituting this expression for 4z in equation 1, we get:

9(9.83 - 3t)/4 + 6t = 21.15

Multiplying both sides by 4 to eliminate the fraction, we get:

9(9.83 - 3t) + 24t = 84.6

Expanding the left side, we get:

88.47 - 27t + 24t = 84.6

Combining like terms, we get:

-3t = -3.87

Dividing both sides by -3, we get:

t = 1.29

Substituting this value of 't' in equation 2, we get:

4z + 3(1.29) = 9.83

Simplifying, we get:

4z = 5.56

Dividing both sides by 4, we get:

z = 1.39

Therefore, 1 pound of zucchini costs $1.39 and 1 pound of tomatoes costs $1.29 at the farm stand.

Answer:

z = 1.39

Step-by-step explanation:

Answer:-5

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-2 - 7

Picture a number line in your head, you begin at negative 2, which is less than 0 and you further go left 7 points, so you will end at -9

Answer:

Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Step-by-step explanation:

Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:

130 - 109 = 21 km por hora

130 / 21 = 6.19

1 = 60

0.19 = X

0.19 x 60 = 11.4

Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

\(B = (Cov(Z))^{(-1/2)}\) is the diagonal matrix that satisfies BCov(Z)B=Corr(Z). All non-trivial linear combinations, atleast one value is non-zero, will have a non-zero variance. Corr(Z) is a positive semi-definite matrix.

(a) To derive the diagonal matrix B such that BCov(Z)B = Corr(Z), we can use the following steps:

Computing the inverse square root of the diagonal matrix of Cov(Z).

\(B = (Cov(Z))^{(-1/2)}\)

Multiplying Cov(Z) by B from both sides:

  BCov(Z) = B * Cov(Z)

Multiplying the result by B again from both sides:

  BCov(Z)B = B × Cov(Z) × B

Since \(B = (Cov(Z))^{(-1/2)}\), we have:

\(BCov(Z)B = (Cov(Z))^{(-1/2)} \times Cov(Z) \times (Cov(Z))^{(-1/2)}\) = Corr(Z)

Therefore, \(B = (Cov(Z))^{(-1/2)}\) is the diagonal matrix that satisfies BCov(Z)B = Corr(Z).

(b) To show that Corr(Z) is a positive semi-definite matrix based on part (a), we need to prove that for any vector v, \(v^T Corr(Z)\) v ≥ 0.

Using the diagonal matrix B obtained in part (a), let's define a new vector w = Bv.

Now, we can rewrite the expression v^T Corr(Z) v as:

\(v^T Corr(Z) v = (Bw)^T Corr(Z) (Bw)\)

Substituting B and BCov(Z)B = Corr(Z) from part (a), we get:

\((Bw)^T Corr(Z) (Bw) = w^T (BCov(Z)B) w = w^T Corr(Z) w\)

Since Cov(Z) is positive semi-definite, we know that BCov(Z)B = Corr(Z) is also positive semi-definite. Therefore, \(w^T Corr(Z) w\) ≥ 0 for any vector w. As a result, we can conclude that Corr(Z) is a positive semi-definite matrix.

(c) If Cov(Z) is positive definite, it means that Cov(Z) is a positive definite matrix. In this case, all non-trivial linear combinations ∑ aiZi, where at least one value ai is non-zero, will have a non-zero variance. This is because positive definiteness implies that all non-zero vectors have positive variances when multiplied by the covariance matrix.

(d) If Cov(Z) is not positive definite, it means that Cov(Z) is either positive semi-definite or indefinite. In this case, there can exist non-trivial linear combinations ∑ aiZi with non-zero variances or zero variances.

If Cov(Z) is positive semi-definite, then the linear combinations ∑ aiZi with at least one non-zero value ai will have non-zero variances.

If Cov(Z) is indefinite, then there can exist non-trivial linear combinations ∑ aiZi with zero variances. This occurs when the linear combination is orthogonal to the null space of Cov(Z).

Therefore, when Cov(Z) is not positive definite, the variance of non-trivial linear combinations ∑ aiZi, i.e., linear combinations with at least one non-zero value ai, can be either non-zero or zero depending on the properties of Cov(Z).

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Answer:

-13

Step-by-step explanation:

Answer:

-13 is your answer

when a negative and a positive are next to each other they equal and negative l. So your final equation would be -8-5

Answer:

domain is always the x values and y values are the range of x.

It's option A

(a) When r = 12, then the value of M would be M = 504.

(b) When M = 224, then the value of r would be r = 64.

What is a direct variation?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation.

In the given question, M is directly proportional to r²

M ∝ r²

M = kr²

Now When r = 2, M = 14,

k = 14/(2)²

k = 7/2

(a) When r = 12,

   M = (7/2)(12)² = (7/2)*144 = 72 * 7

  M = 504

(b)When M = 224,

  224 = (7/2)r² = (224*2)/7 = 32 * 2

  M = 64

Hence,

(a) When r = 12, then the value of M would be M = 504.

(b) When M = 224, then the value of r would be r = 64.

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The quotient include the following: D. \(\frac{x(2x-3)}{7}\)

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce the following mathematical expression;

\(\frac{2x-3}{x} \div \frac{7}{x^2}\)

By rearranging the mathematical expression using the multiplication operation, we have:

\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)

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If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the statement "there exists at least one point c between -1 and 3 such that f(c) = 1" must be true.

A continuous function is a function that has no jumps or breaks and can be drawn without lifting the pen. If we draw a continuous graph, we can draw it without lifting the pen. It is impossible to draw a continuous graph that has a jump or break. It's as simple as that.

The point where the curve is at its highest or lowest is known as a relative maximum. It's a bit like standing at the top of a hill and looking down into the valleys on either side of it. The maximum or minimum values that occur in a certain interval are known as relative maxima or minima.

Therefore, the correct answer is option a) The graph of f has a point of inflection somewhere between x = -1 and x= 3

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Correct question is If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), which of the following statements must be true?

(a) The graph of f has a point of inflection somewhere between x = -1 and x= 3

(b) f'(-1) = 0

(c) this is wrong

(d) The graph of f has a horizontal tangent line at x = 3

(e) The graph of f intersects both axes

Jeremiah will pay approximately $1,685.17 as the monthly payment, a total of approximately $60,665.04 over the life of the loan, and approximately $5,665.04 in interest.

To calculate the monthly payment using the TVM (Time Value of Money) Solver, we need to use the following variables:

PV (Present Value): $55,000

i (Interest Rate per period): 6.55% per year / 12 (since it's compounded monthly)

n (Number of periods): 3 years * 12 (since it's compounded monthly)

PMT (Payment): The monthly payment we need to calculate

FV (Future Value): 0 (since we're assuming the loan will be fully repaid)

Using these variables, we can set up the equation in the TVM Solver to find the monthly payment:

PV = -PMT * ((1 - (1 + i)^(-n)) / i)

Substituting the values:

$55,000 = -PMT * ((1 - (1 + 0.0655/12)^(-3*12)) / (0.0655/12))

Now we can solve for PMT:

PMT = $55,000 / ((1 - (1 + 0.0655/12)^(-3*12)) / (0.0655/12))

Calculating this equation gives the monthly payment:

PMT ≈ $1,685.17

b. The total amount Jeremiah ends up paying can be calculated by multiplying the monthly payment by the total number of periods (n):

Total Amount = PMT * n

Total Amount ≈ $1,685.17 * (3 * 12)

Total Amount ≈ $60,665.04

c. The amount of interest Jeremiah will pay over the life of the loan can be calculated by subtracting the initial loan amount (PV) from the total amount paid:

Interest = Total Amount - PV

Interest ≈ $60,665.04 - $55,000

Interest ≈ $5,665.04

Therefore, Jeremiah will pay approximately $1,685.17 as the monthly payment, a total of approximately $60,665.04 over the life of the loan, and approximately $5,665.04 in interest.

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