Mary lost 30 lbs. Before her diet she weighed 180 pounds. What is the percent of change?​

The value of A is [tex]\left( \dfrac{6}{17}\right)^{9}[/tex].

Given that,

Equation; [tex]\rm \left(\dfrac{6}{17}\right)}^{9x}[/tex]

We have to find,

The value of A when the function is written as [tex]\rm A^x[/tex]?

According to the question,

To determine the value [tex]A^x[/tex] by applying the exponent property in the equation following all the steps given below.

By using the exponent property rewrite the equation,

[tex]\rm \left ( a )\right ^{mn} = ( a^m )\right^{n}[/tex]

Applying the property in the equation,

[tex]\rm \left(\dfrac{6}{17}\right)}^{9x}= \left( \left(\dfrac{6}{17}\right)^{9}\right) \right)^{x}[/tex]

By comparing the equation with [tex](A)^{x}[/tex],

[tex]\rm A ^{x}= \left( \left(\dfrac{6}{17}\right)^{9}\right) \right)^{x}\\\\A = \left( \dfrac{6}{17}\right)^{9}[/tex]

Hence, The required value of A is [tex]\left( \dfrac{6}{17}\right)^{9}[/tex].

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The value of [tex]\( A \)[/tex] when rewriting [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \) is \( \left( \frac{6}{17} \right)^9 \)[/tex]. The correct answer is option B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex] .

Step 1

Let's break down the calculation step by step to rewrite [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \)[/tex].

Given:

[tex]\[ \left( \frac{6}{17} \right)^{9x} \][/tex]

To express this in the form [tex]\( A^x \)[/tex], we observe that [tex]\( \left( \frac{6}{17} \right)^{9x} \)[/tex] can be rewritten using exponent rules:

[tex]\[ \left( \frac{6}{17} \right)^{9x} = \left( \left( \frac{6}{17} \right)^9 \right)^x \][/tex]

Now, calculate [tex]\( \left( \frac{6}{17} \right)^9 \)[/tex] :

[tex]\[ \left( \frac{6}{17} \right)^9 = \frac{6^9}{17^9} \][/tex]

Step 2

Calculate [tex]\( 6^9 \)[/tex] and [tex]\( 17^9 \)[/tex]:

[tex]\[ 6^9 = 10077696 \][/tex]

[tex]\[ 17^9 = 1667988092 \][/tex]

So,

[tex]\[ \left( \frac{6}{17} \right)^9 = \frac{10077696}{1667988092} \][/tex]

Therefore, [tex]\( A \)[/tex] in [tex]\( A^x \)[/tex] is:

[tex]\[ A = \left( \frac{6}{17} \right)^9 \][/tex]

Thus, the correct answer is:

B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex].

Complete question : What is the value of A when we rewrite [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \)[/tex]?

A) [tex]\( A = \frac{54}{17} \)[/tex]

B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex]  

C) [tex]\( A = \left( \frac{17}{6} \right)^9 \)[/tex]

D) [tex]\( A = -\frac{1}{9} \)[/tex]

Answer:

30 students

Step-by-step explanation:

18/3 = 6

6 x 2 = 12 boys

12 boys + 18 girls = 30 students

- Hope this helps! Please let me know if you would like a further explanation.

Answer:

7.065 m ^ 2

8.935 m ^ 2

Step-by-step explanation:

The first thing is to calculate the surface of each one, that is, the area

For the room that is square, each side measures 4m, therefore:

As = 4 * 4 = 16 m ^ 2

The area of the carpet is that of a circle, that its area is the number pi times the radius squared, we know that the radius is half the diameter, therefore r = 3/2 = 1.5 m

replacing in the area formula

Ac = pi * r ^ 2 = 3.14 * 1.5 ^ 2

Ac = 7.065 m ^ 2

In other words, the area covered by the carpet is 7,065 m ^ 2 and the area not covered would be the subtraction between the area of the room minus the area of the carpet, that is:

16 m ^ 2 - 7.065 m ^ 2 = 8.935 m ^ 2

8.935 m ^ 2 would be the area that the carpet does not subside.

Answer:

3

Step-by-step explanation:

[tex]y=\frac{2}{3}x +1[/tex]

If [tex]x[/tex] is 3, then

[tex]y =\frac{2}{3}(3) +1[/tex]

[tex]y=2+1[/tex]

[tex]y=3[/tex]

Both [tex]x[/tex] and [tex]y[/tex] equal 3. So, the value of [tex]x[/tex] must be 3 for the function to have the same coordinate for [tex]x[/tex] and [tex]y[/tex].

Answer:

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Step-by-step explanation:

A survey is being conducted to determine how a city's residents feel about building a new youth center.

They are considering to survey 50 random children at a local elementary school.

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Moreover, it is likely that the students of elementary school might not even have any interest in youth center so results would be biased.

Therefore, it is suggested to include a variety of samples that is surveying different age groups that covers all of the community.

Answer:

1. The survey is only considering elementary school students, but not children in middle school or high school.

2. The survey is also not considering any adult at all. Most likely they represent the majority of the local residents.

3. Finally, it's important to understand in advance what would be the main differences with the current youth center and include those specific questions in the survey. It's important to determine if the new youth center will fill the gap.

Step-by-step explanation:

Answer: it makes a horizontal shift. for example: (x-4) means the graph moved 4 units to the RIGHT.

Step-by-step explanation: it is essentially the opposite of what you think if it's inside the parenthesis.

Answer:

110/7 yards

Step-by-step explanation:

Given:-

- The radius of circular patio, r = 5 yards

Find:-

What is the circumference of circular patio

Solution:-

- The circumference "C" of a circle is given as:

            [tex]C =2 *\pi*r\\\\\pi = \frac{22}{7} \\\\ C = 2*\frac{22}{7}*5\\\\C = \frac{110}{7} yards[/tex]

- The circumference of the circular patio is 110 / 7 yards.            

Answer:

21

Step-by-step explanation:

To find the area of a cylinder you mutliply radius by height.

r*h = 162

If we know the height is 7.7, substitute it for h.

r*7.7 = 162.

Or:

162 / 7.7

Which gives you 21.03, or 21.

Answer:

2%, low probability

Step-by-step explanation:

In this case we have that the avatars are distributed as follows:

5 subjects and 10 versions of the application for each subject, therefore they are a total of:

5 * 10 = 50

In total there are 50 avatars.

To know the probability that I get 1 in specific, in this case that of a lion is:

1/50 = 0.02

The probability is 2%, that is to say a really low probability, that is to say that the most probable thing is that you do not receive it.

Answer:

2%

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

participants obeyed because the learners' protests were not convincing. The new teachers complied fully, to the last switch, 65 percent of the time.

Answer:

The speed of light through the medium is 2.1 * 10^8 m/s

Step-by-step explanation:

In this question, we are asked to calculate the speed of light beam as it travels through a medium given the refractive index of the medium.

Mathematically;

n = c/v

where n is the refractive index, v is the speed of light through the medium and c is the speed of light in a vacuum.

From the question, we can identify that the refractive index is 1.46 and the speed of light through vacuum is 3 * 10^8 m/s

Rearranging the equation; we have;

v = c/n

v = (3 * 10^8)/1.46

v = 2.1 * 10^8 m/s

Answer:

8 mollies

Step-by-step explanation:

22-6=16

16/2=8 mollies

Answer:

5

Step-by-step explanation:

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, [tex]z_{\frac{a}{2} } = \frac{0.05}{2} = 0.025[/tex]

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = [tex]\sqrt{Var(x)} = \sqrt{484} = 22[/tex]

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = [tex]\frac{(z^{*}) (SD)}{\sqrt{n} }[/tex]

[tex]5 = \frac{1.96 * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n} = 43.12\\(5)^{2} * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n = 1859.3344\\\frac{25n}{25} = \frac{1859.3344}{25} \\n = 74.373376\\n = 74[/tex]

The approximate value of n is 74.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]

Using the formula

The probability of getting odd number disk=[tex]\frac{4}{8}=\frac{1}{2}[/tex]

The probability of getting odd numbered  red disk=[tex]\frac{3}{8}[/tex]

The probability of selecting a red disk,given that an odd numbered disk is selected=[tex]\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}[/tex]

Using conditional probability

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

Answer:

a) 1/48 or 2.0833%

b) 46/48 or 95.8333%

no it would not be unusual

c) I'm not sure sorry

Answer:

a) $4635

b) $1545

c) $29.7 per week

Step-by-step explanation:

Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.

a) How much does the employer pay annually

b) How much does she pay annually

c) How much is deducted each week as her weekly cost

a)

Given that:

The annual premium = $6180

Employers percent = 75% = 0.75

The money the employer pays annually = Annual premium × Employers percent = $6180 × 0.75 = $4635

b)

Since the employers percent = 0.75, her percent = 1 - 0.75 = 0.25

The money that she would pay annually = Annual premium × her percent = $6180 × 0.25 = $1545

c)

There are 52 weeks in a year.

The money she would pay weekly = money that she would pay annually / 52 weeks = $1545 / 52 weeks = $29.7 per week

Answer:

A. $ 4,635

B. $ 1,545

C. $ 29.72 (Rounding to the next cent)

Correct statement and questions:

Hermosa Menendez is employed by Chemical Industries. She has a family membership in the group preferred provider organization (PPO). The annual premium is $6,180. Her employer pays 75 percent of the premium.

a) How much does the employer pay annually

b) How much does she pay annually

c) How much is deducted each week as her weekly cost

Source:

Previous question that can be found at brainly

Step-by-step explanation:

A. The employer will pay annually the 75% of the annual premium:

6,180 * 0.75 = $ 4,635

B. Hermosa will pay annually the difference:

6,180 - 4,635 = $ 1,545

C. Hermosa will pay weekly:

1,545/52 = $ 29.72 (Rounding to the next cent)

The slope of a line perpendicular to the line with equation x - y = -3 is -1, as perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the line perpendicular to the line whose equation is x - y = -3 can be found by first writing the equation in the slope-intercept form (y = mx + b) to determine the slope of the given line. By rearranging the given equation to y = x + 3, we can see that the slope (m) of the line is 1. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of a line perpendicular to this one would be the negative reciprocal of 1, which is -1. Therefore, the slope of the line perpendicular to the line with equation x - y = -3 is -1.

For 42 cups of punch 168 cups lemonade is used.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have, For one punch 4 cups of lemonade to 3 cups of sparking juice is used.

Now, for 42 cups the amount of Lemonade needed

= 4 x 42

= 168 cups

and, Amount of Sparking juice needed

= 3 x 42

= 126 cups

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The correct answer is:

£498.53

Answer:

The mean and median will change.

Step-by-step explanation:

Mean takes the sum of all the numbers and divide by the amount of numbers there are. This would add 1 to the denominator, which would decrease the total mean score, as the numerator does not change.

The Median will also change. The median is found by finding the middle number of the set. Adding 0 to the set would result in a different number being chose for the median.

~

Answer: 74

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

73+ 21

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

Use Law of cosines  

d = √(800^2 + 1200^2 - 2·800·1200·COS(60°)) = 1058 miles

Answer:

1058

Step-by-step explanation:

Plato

Answer:

The correct answer is 4 window frames.

Step-by-step explanation:

Sue bought 54 feet of lumber for building window frame.

Each window frame requires 13 1/2 feet = [tex]\frac{27}{2}[/tex] feet of lumber.

Therefore the number of window frames Sue can make with 54 feet of lumbers she bought is given by dividing the total amount of lumber she has by the lumber it takes to make a single window frame.

= [tex]\frac{54}{27}[/tex] × 2 = 2 × 2 = 4

Thus Sue can make 4 window pane from 54 feet of lumber, each of 13 and a half feet.

Sue can make 4 window frames with the 54 feet of lumber she purchased, as each frame requires 13.5 feet.

Sue bought 54 feet of lumber to build window frames, with each window frame requiring 13.5 feet of lumber. To determine how many window frames Sue can make, we divide the total amount of lumber by the amount required for one frame.

Here's the calculation:

Start with the total amount of lumber: 54 feet.

Divide this by the amount required for one window frame: 13.5 feet.

Perform the division: 54 / 13.5 = 4.

Sue can make 4 window frames with the lumber she has purchased.

Answer:

1. 60,000 is __10_ times greater than 6,000.

2. 60,000 is __100__ times greater than 600.

3. 60,000 is _1000__ times greater than 60.

4. 2.0 is _10___ times greater than 0.2.

5. 2.0 is __100__ times greater than 0.02.

6. 2.0 is _1000___ times greater than 0.002.

Step-by-step explanation:

I mean, you can divide any number by the other number to get the answer

for example 60000/6000 = 10, or you can just count the difference in decimal points for example 60000 has 1 more 0 than 6000 so you know its 10x greater

Answer: A. Representative, since blood types are probably not different among students at the cafeteria compared to the U.S. population, B. Not representative, since students in the cafeteria may eat most of their meals at the cafeteria instead of eating fast food

Step-by-step explanation:

I Hope that this helps! :)

a) The variable used gives the appropriate estimate.

b) The variable used does not give the appropriate estimate.

Statistical research is the methodical creation of enhanced or novel statistical techniques based on statistical theory and probability.

A property that can be measured and given varied values is known as a variable. Variables include things like height, age, income, province of birth, school grades, and kind of dwelling. There are two basic types of variables: category and numeric.

Given:

a) Since kids in the cafeteria probably have the same blood types as people in the United States.

So, it can be Representative.

b) As opposed to eating fast food, students may eat the majority of their meals in the cafeteria.

So, this is not representative.

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Answer:

Chord

Step-by-step explanation:

It's a chord because if you Google the examples of all the lines, Chord looks the most like Line LB

Answer:

It’s in between a and b

Step-by-step explanation:

Answer:

i believe the answer is a

Answer:

n=4

Step-by-step explanation:

3n+6 = 54-9n

3n+9n = 54 - 6

12n = 48

n=4

Answer:

4

Step-by-step explanation:

3n+6=54-9n

3n+9n=54-6

12n=48

n=48/12

n=4

Answer:

0x^2 + 2x -3 = 0

a = 0

b = 2

c = -3

Step-by-step explanation:

3 = 2x

0 = 2x - 3 (move three to other side)

0x^2 + 2x -3 = 0  (Finish off the equation by adding zeros in the empty spots to make the eeqution ax^2 + bx + c = 0)

a = 0

b = 2

c = -3