circle o is shown below the diagram is not drawn to scale if m

61mm has to be converted to cm.

Simply divide by 10 [ 10mm = 1cm ]

61 mm = (61/10) = 6.1 cm

5.5 + 6.1 = 11.6cm

OR...

Convert 5.5cm to mm by multiplying by 10

5.5cm = (5.5×10) = 55mm

55+61 = 116mm

116mm = (116/10) = 11.6cm

The answer for this question is 11.6 cm or 116 mm.

You need to convert either millimeter to centimeter or vice versa

1 cm = 10 mm

converting 5.5 cm to mm :

5.5 X 10 = 55 mm

Now, add both the values of millimeter:

55 + 61 = 116 mm

If we need answer in centimeter

we can convert 116 mm into cm

116/10 = 11.6 cm

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The correct question is :

Add 5.5 cm to 61mm

Answer:

A) 8 cm

Step-by-step explanation:

Cylinder Volume formula:

V = πr²h

72π = π3²h

72π = 9πh

h = (72π)/(9π)

h = 8

The acceleration of the object when a force of 14 N acts on it will be 7 m/s².

We can use the proportionality relationship between force and acceleration to solve this problem. The relationship can be expressed as:

F = k a

where F is the force, a is the acceleration, and k is a constant of proportionality.

We are given that the force and acceleration are directly proportional, so we can set up a proportion using the given information:

10 N / 5 m/s² = 14 N / a

Solving for a, we can cross-multiply and simplify:

10 N * a = 5 m/s² * 14 N

a = (5 m/s² * 14 N) / 10 N

a = 7 m/s²

Therefore, the acceleration of the object when a force of 14 N acts on it will be 7 m/s².

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Let's denote the increase in both the radius and the height of the cylinders as 'x' inches.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

For the first cylinder (with original radius 8 inches and height 3 inches), the volume is given by V₁ = π(8)²(3) = 192π cubic inches.

For the second cylinder (with increased radius and height), the volume is given by V₂ = π(8 + x)²(3 + x).

Given that the resulting volumes are equal, we can set up the following equation:

V₁ = V₂

192π = π(8 + x)²(3 + x)

Canceling out the π from both sides, we have:

192 = (8 + x)²(3 + x)

Expanding the equation:

192 = (64 + 16x + x²)(3 + x)

192 = 192 + 48x + 16x² + 3x + x²

0 = 16x² + 51x

Simplifying the quadratic equation:

16x² + 51x = 0

x(16x + 51) = 0

Setting each factor equal to zero:

x = 0 (nonzero number of inches)

16x + 51 = 0

16x = -51

x = -51/16

Since we're looking for a nonzero increase, the increase is x = -51/16 inches.

Note: It's important to check the validity of the negative value for 'x' since it represents an increase. In this case, the negative value implies a decrease rather than an increase. Therefore, the increase in both the radius and the height is 0 inches.

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Answer:

The salesperson will get $27.23

Step-by-step explanation:

Given that:

Commission of salesperson = 5.5% of selling price

Selling cost of couch = $495

Commission amount = 5.5% of 495

Commission amount = \(\frac{5.5}{100}*594\)

Commission amount = 0.055 * 495

Commission Amount = $27.23

Hence,

The salesperson will get $27.23

Answer:

\(50^{o}\)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Add 40 degrees to the 90 degrees and that will become 130 and all triangles add up to 180 so subtract 130 from 180 and you'll be left with 50

First, we can use the points (4,3) and (20,15) to find the slope of the line:

Now we can find the relation function using the point (4,3) and the slope s=3/4

therefore, the equation to describe the relationship between J and M is m=3/4j

Answer:

Each student donates $135

Hello,

"A group of 9 students raises $1,215"

"They divide the money equally...."

With what we know,

You divided $1,215 and 9

And that equals 135

(Please vote brainliest if helpful!)

Answer:

I think it is 0.5

Step-by-step explanation:

32²×8²×16² = 16777216

64²×4³×128 = 33554432

16777216 ÷ 33554432= 0.5

Answer:

its 62!

p-by-step explanation:

Answer:

62.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62

p(x)= (x-4)²-(x-6)². ... 4X - 20 = 0 => X = 20/4 => X= 5.

Answer: C

Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.

Answer:

purple graph is for x+y>3

black graph is for x+y<-4

Step-by-step explanation:

I recommend u use desmos. it'll really help

hope u have a nice day :)

The correct answer for the carrying capacity of the population in the logistic model with the equation dp/dt = p(12-3p) is 4.

In the logistic model, the carrying capacity represents the maximum population size that an environment can sustain in the long term. In the equation dp/dt = p(12-3p), the carrying capacity is represented by the value at which the growth rate of the population is zero.

To find this value, we set the right-hand side of the equation to zero and solve for p:

0 = p(12-3p)

0 = p(4-p)

This equation has two solutions: p = 0 and p = 4. The solution p = 0 represents the population size when the growth rate is zero, but it is not the carrying capacity since the population would not survive at this size.

The solution p = 4 represents the carrying capacity, which is the maximum population size that the environment can support in the long term.

Therefore, the carrying capacity of the population in the logistic model with the equation dp/dt = p(12-3p) is 4.

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Answer:

19% chance he pulled out aeio and u

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

12

Step-by-step explanation: has to do with ratios and proportionalities. 3/8 is going to equal b/32. B = to number of basil leaves. 32/8= 4. 4x3=12.

Answer:

Twelve.

Step-by-step explanation:

This scenario can be interpreted by the ratio 3:8, with 3 being the amount of basil leaves and 8 being the amount of tomatoes. If there were 32 tomatoes in the sauce, then there would have been 12 basil leaves.

3:8

6:16

9:24

12:32

All of these ratios can simplify back down to 3:8.

In the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.

In the factored form of the trinomial 2x^2 + 4xy - 48y^2 = 2(x - by)(x - 4y), the value of the coefficient b can be determined by comparing the factors of the trinomial with the factored form.

We see that in the factored form, the binomial (x - by) represents the first term and the binomial (x - 4y) represents the last term. The coefficient b corresponds to the term involving both x and y, which is the middle term 4xy in the original trinomial.

Comparing the middle term of the original trinomial (4xy) with the factored form, we can deduce that the coefficient b is equal to 4.

Therefore, in the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.

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Answer:

5

Step-by-step explanation:

12g - 18 > 6g + 12

12g > 6g + 30

6g > 30

g = 5

Have a great day!

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By applying the consecutive interior angles theorem, lines CD and EF in the image are not parallel for the given angle measures.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

Given the following data:

m∠BPG = 139°

m∠GPC = 95°

m∠BQF = 110°

The consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.

By applying the consecutive interior angles theorem, we have:

m∠BPG + m∠GPC = 180°

139° + 95° ≠ 180° (not parallel).

m∠BPG + m∠BQF = 180°

139° + 110° ≠ 180° (not parallel).

m∠GPC + m∠BQF = 180°

95° + 110° ≠ 180° (not parallel).

Given the following data:

m∠BPD = 35°

m∠APG = 115°

m∠EQA = 35°

By applying the consecutive interior angles theorem, we have:

m∠BPD + m∠APG = 180°

35° + 115° ≠ 180° (not parallel).

m∠BPD + m∠EQA = 180°

35° + 35° ≠ 180° (not parallel).

m∠EQA + m∠APG = 180°

35° + 110° ≠ 180° (not parallel).

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Answer:

Total surface area of the tent that is in a shape like a triangular prism

= 255ft²

Step-by-step explanation:

Find the surface area of the triangles.

height = 5ft, base = 5ft

2 Triangles = 5 × 5 ÷ 2 × 2 = 25ft²

Now for the base.

height = 10ft, base = 5ft

base of triangular prism = 10ft × 5ft = 50ft²

And then, the last 2 rectangles.

height = 10ft, base = 9ft

2 Rectangles = 10ft × 9ft × 2 = 180ft²

Lastly, we add all these up.

25ft² + 50ft² + 180ft²

= 255ft²

By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:

Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:

m∠B + m∠C + m∠D = 180°

Then:

13x - 35 + 5x - 19 + 2x + 14 =180

20x -40 = 180

20x = 180 + 40

20x = 220

x = 220/20

x = 11

Now that we know the value of x, we can find the measures of the angles.

m∠B = (13x- 35)° = (13*11 - 35)° = 108°

m∠B = (5x - 19)° = (5*11 - 19)° = 36°

m∠D = (2x + 14)° = (2*11 + 14)° = 36°

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The correct statement is "only a and c are correct"  so option g is the answer.

The statement that is true in a normal distribution is "approximately 70% of the values are within one standard deviation from the mean" (a), and "2.1% of the values are between -2 and -3 standard deviations from the mean" (c).

These statements are true because of the properties of a normal distribution, also known as a Gaussian distribution or bell curve. In a normal distribution, the majority of values cluster around the mean, with fewer and fewer values as you move further away from the mean.

The statement "twenty-seven percent of the values are between one and two standard deviations from the mean" (b) is not true, as the correct percentage is approximately 27.7% (68-95-99.7 rule).

The statement "0.1% of the values are 3 or higher standard deviations from the mean" (d) is also not true, as the correct percentage is approximately 0.3%.

Therefore, the correct statement is "only a and c are correct".

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Amount after 10 years at 3%, 4% and 5.5% interest with principal $20000 is $26878.32, $29604.88 & $34162.88 respectively.

Although a part of your question is missing, you might be referring to this full question: Suppose that P dollars in principal are invested for years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. p=$20000, t=10yr

a. 3% interest

b. 4% interest

c. 5.5% interest

P = $2000

T = 10 years

Formula to be used:

A = P(1+r/100)^n

A = total amount after n years

P = principal amount invested

r  = rate of interest

n = number of years the money is invested

Solving for part a:

A = 20000(1+3/100)^10

= 20000*1.34

A = 26878.32

Solving for part b:

A = 20000(1+4/100)^10

= 20000*1.48

A = 29604.88

Solving for part c:

A = 20000(1+5.5/100)^10

= 20000*1.70

A = 34162.88  

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John should use a one-sample t-test to test if the mean weekly study time from his sample differs from 21.1 hours because the population standard deviation is unknown and the sample size is less than 30.

John wants to compare the average time area high school students spend studying per week with the regional average of 21.1 hours. He selects a sample of 28 local high school students and records how much time they spend studying per week to compare it to the regional average. John does not know the standard deviation of the underlying population, but he is confident that the population is normally distributed because other studies indicate that study times are normally distributed, and graphs of his sample data indicate normality.

To test if the mean weekly study time from his sample differs from 21.1 hours, John needs to use a one-sample t-test because the population standard deviation is unknown and the sample size is less than 30. The one-sample t-test is a statistical hypothesis test used to determine if there is a significant difference between the mean of a sample and a known or hypothesized population mean when the standard deviation of the population is not known.

It tests whether the sample mean is significantly different from the hypothesized population mean, taking into account the sample size and the sample standard deviation. The null hypothesis, in this case, is that there is no significant difference between the mean weekly study time of the local high school students and the regional average of 21.1 hours.

The alternative hypothesis is that there is a significant difference between the two means. John will calculate the t-test statistic using the sample mean, sample standard deviation, and sample size, and compare it to the critical t-value for his chosen level of significance (usually 0.05). If the t-test statistic is greater than the critical t-value, he can reject the null hypothesis and conclude that there is a significant difference between the mean weekly study time of the local high school students and the regional average of 21.1 hours

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We have shown that sec²θ – tan²θ = 1, and the identity is true.

To prove that sec²θ – tan²θ = 1, we can start with the left-hand side of the equation and use the definitions of secant and tangent in terms of sine and cosine:

\(sec²θ – tan²θ = (1/cos²θ) – (sin²θ/cos²θ)\)

Combining the two fractions gives:

(1 – sin²θ)/cos²θ

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute (1 – cos²θ) for sin²θ:

(1 – cos²θ)/cos²θ

Simplifying the fraction by dividing both numerator and denominator by cos²θ gives:

1/cos²θ = sec²θ

Therefore, we have shown that sec²θ – tan²θ = 1, and the identity is true.

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Answer:

Length must be between 19 and 29 yards

Step-by-step explanation:

The sum of any two sides must be greater than the third

the overall classification of the series is mixed: some of the terms are convergent and some are divergent. Therefore, the series is conditionally convergent.

It appears that there might be some errors or missing information in the provided series. However, I can provide you with a general guideline on how to determine if a series is absolutely convergent, conditionally convergent, or divergent.
1. Absolutely convergent: A series ∑a_n is absolutely convergent if the series ∑|a_n| converges. To check this, you can use various tests like the Ratio Test, Root Test, or the Comparison Test.
2. Conditionally convergent: If the series ∑a_n converges, but the series ∑|a_n| diverges, then the series is considered conditionally convergent. This usually applies to alternating series, where the terms switch signs.
3. Divergent: If the series ∑a_n does not converge, it is considered divergent. Divergence can be checked using the Divergence Test. If the limit of the sequence a_n as n approaches infinity is not equal to zero, then the series is divergent.

The series (-1)n n4 + 1 is divergent because it does not approach a finite limit as n approaches infinity.
The series (-1)nn n2+ 1 is also divergent because it does not approach a finite limit as n approaches infinity.
The series (n)2+ 4 3n is convergent because it approaches zero as n approaches infinity.
The series (-1)k+ 1 * 1 * 4 * 7 ...(3k - 2) k:2k is divergent because it does not approach a finite limit as k approaches infinity.
The series [(2n+ 1)2 5n2]n is convergent because it approaches a finite limit as n approaches infinity.
Therefore, the overall classification of the series is mixed: some of the terms are convergent and some are divergent. Therefore, the series is conditionally convergent.
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Answer:

f = 6

Step-by-step explanation:

2(-3)^2 = -18

6(-3) = -18

Answer:

2 days

Step-by-step explanation:

I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.