Consider three consecutive odd integers. The ratio of the smallest number to one less than twice the smallest
number is equivalent to the ratio of three more than the middle number to twice the largest number. What are
the three integers?

The value of center and radius for circle is,

Radius = 9

Center = (5, 7)

We have to given that;

The equation of circle is,

⇒ (x - 5)² + (y - 7)² = 81

Now, We know that;

Standard form of circle with radius 'r' and center (h, k) is,

⇒ (x - h)² + (y - k)² = r²

Hence, After comparing we get;

Radius of circle = √ 81

                        = 9

And, Center of circle = (5, 7)

Thus, The value of center and radius for circle is,

Radius = 9

Center = (5, 7)

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Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

Answer:

2144.7cm³

Step-by-step explanation:

volume =  \(\frac{4}{3}\) pi 8³

Answer:

1. ella

2. ella

Step-by-step explanation:

Answer:

toga

Step-by-step explanation:

Answer:

would'nt the change be the amount of how deep the full one is?

Answer:

y=mx+b

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 gallons of water will hold about 7.6 liters of water

The graph of the function is:

From this, we can conclude that the polynomial has three turning points

Answer: undefined, not enough information

Step-by-step explanation:

Answer:

15+19 =34 is the perimeter of the closed figure

hope it helped you

Answer:

K? Am I Supposed To Care?

Step-by-step explanation:

Hey there!

The answer is 72 - 2n.

"twice a number" represents a number multiplied by 2. So we have "2n"

"decreased by twice a number" would mean subtracting twice a number, or subtracting "2n".

"72 decreased by" means that we are subtracting the number FROM 72, so we get "72 - 2n".

Have a super awesome day! :)

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.

According to the statement,We have to find that the Area of the square B.

So, For this purpose, we know that the

The Area is defined because the total space concerned by a flat (2-D) surface or shape of an object.

From the given information:

The area of Square A is 121 square inches. The length of every side of Square B is 2 inches longer than the length of every side of Square A.

Then

We know that the realm of the square is a^2

Then

Given area of the square = 121.

Area = \(A^2\)

121 = \(A^2\)

\(A = \sqrt{121}\)

A = 11.

The side of the square a is 11.

And The side of the square B = 11+2

The side of the square B = 13

The Area of the square B = Side * Side

Area of the square B = 13* 13

Area of the square B = 169.

Now, Increase in the area = 169 -121

Increase in the area = 48.

So, The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.

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Answer:

(a) Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) 41  

    Alternate Hypothesis, \(H_A\) : \(\mu\) > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \(\mu\) = mean sunspot activity during the Spanish colonial period.

(a) Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                            T.S. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, the test statistics  =  \(\frac{47-41}{\frac{35}{\sqrt{40} } }\)

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) Now, the P-value of the test statistics is given by;

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = 0.1401

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

The values of the expressions in the table following their evaluation are;

1. 73

2. 97

3. x = 108

4. -13/6

5. 1 and 97

6. 1 and 41

7. The graph of the number line

8. She needs to add 5/36 cup of sugar

The length of the actual is 6 miles

1. The given expression is 5•x + 14 - 6

The value of x at which the expression is evaluated is x = 13

Which gives;

5×13 + 14 - 6 = 73

2. Twelve times six plus 25 can be expressed as 12 × 6 + 25

12 × 6 + 25 = 97

3. x/9 = 12

Multiplying across gives;

x × 1 = 9 × 12 = 108

x = 108

4. The expression is 3/16 - 3/8

= (3 - 2× 3)/16

3/16 - 3/8 = (3 - 2× 3)/16 = -3/16

(3 - 2× 3)/16 = -3/16

5. The prime factors of 97 are; 1 and 97

6. 41 is a prime number.

The factors of 41 are; 1 and 41

7. The graph of x = -1/3

8. Quantity of sugar required = 3¼

Quantity added = 3⅑

Quantity needed = 3¼ - 3⅑ = 5/36

9. 4 inches is equivalent to 2 miles

Therefore;

12 inches = 3 × 4 inches is equivalent to 3 × 2 mi = 6 mi

The length of the actual trail is 6 miles

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The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

hope this helps. have a good day!

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Answer:

n=-3n+5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I can only answer this if the second term is -1

a = 2

d = -3

t_n = a + (n - 1)*-3

t_n = 2 + -3n + 3

t_n = 5 - 3n      or

t_n = - 3n + 5

That's D

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Answer:

9 pints would equal 144 ounces

Step-by-step explanation:

Pints

The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.

The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.

Fluid Ounces

The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]

The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..

Pint to Fluid Ounce Conversion Table

Pint measurements converted to fluid ounces

Pints Fluid Ounces

1 pt 16 fl oz

2 pt 32 fl oz

3 pt 48 fl oz

4 pt 64 fl oz

5 pt 80 fl oz

6 pt 96 fl oz

7 pt 112 fl oz

8 pt 128 fl oz

9 pt 144 fl oz

10 pt 160 fl oz

11 pt 176 fl oz

12 pt 192 fl oz

13 pt 208 fl oz

14 pt 224 fl oz

15 pt 240 fl oz

16 pt 256 fl oz

17 pt 272 fl oz

18 pt 288 fl oz

19 pt 304 fl oz

20 pt 320 fl oz

21 pt 336 fl oz

22 pt 352 fl oz

23 pt 368 fl oz

24 pt 384 fl oz

25 pt 400 fl oz

26 pt 416 fl oz

27 pt 432 fl oz

28 pt 448 fl oz

29 pt 464 fl oz

30 pt 480 fl oz

31 pt 496 fl oz

32 pt 512 fl oz

33 pt 528 fl oz

34 pt 544 fl oz

35 pt 560 fl oz

36 pt 576 fl oz

37 pt 592 fl oz

38 pt 608 fl oz

39 pt 624 fl oz

40 pt 640 fl oz

Please don't report this. :(

Answer:

A = $19.167.45

Step-by-step explanation:

The continuous compound  interest formula, \(A = Pe^ { (rt)}\)  is used when interest is compounded continuously; that is, when the number of compounding periods per year increases without bound.  

Using the continuous compound interest formula,  \(A = Pe^ { (rt)}\) where:

A = amount in the end of t period

P = principal = $17,000

r = interest rate = 0.03 or 3%

t = time = 4

Substitute these values into the formula:

\(A = Pe^ { (rt)}\)

\(A = 17000e^ { (0.03)(4)}\)

A = $19.167.45

Answer:

A.

(i) 9.3 ft

(ii) 16.5 ft

(iii) 153.45 ft^2

B.

(i) 25.5 ft

(ii) 42 ft

(iii) 1070 ft^2

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Answer:

C. y = 3x -2

Step-by-step explanation:

y = mx + b

start with b, the y-intercept, which is -2.

Next find m, the slope. From -2 on the y-axis you are going to find the slope by doing rise/run. You will rise 3 units and run 1 unit to get to the next point on the line.

The equation is y = 3x -2

Step-by-step explanation:

Find the z-score.

z = (x − μ) / σ

z = (109.8 − 106.9) / 14.5

z = 0.2

Use a chart or calculator to find the probability.

P(Z < 0.2) = 0.5793

Find the mean and standard deviation of the sampling distribution.

μ = 106.9

σ = 14.5 / √20 = 3.242

Find the z-score.

z = (x − μ) / σ

z = (109.8 − 106.9) / 3.242

z = 0.894

Use a calculator to find the probability.

P(Z < 0.894) = 0.8145

Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer:

bt? I don't know for sure

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

\(Y=320(0.5)^X-1\)

Some data were informed in the text for this equation to be written, so:

Now writing the equation representing the given information is:

\(Y=320(0.5)^X-1\)

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