A dependent variable is a. directly changed by the experimenter. b. manipulated by changes to the independent variable. c. a variable that is kept constant. d. a variable that is used as a control.

Answer:

C. 1.9090%

Step-by-step explanation:

We have been given that the APR of a savings account is 1.9% and interest is compounded semiannually. We are asked to find the APY of the account.

To solve our given problem, we will use APY formula.

[tex]APY=(1+\frac{r}{n})^n-1[/tex], where,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year.

Let us convert our given rate in decimal form.

[tex]1.9\%=\frac{1.9}{100}=0.019[/tex]

Upon substituting [tex]r=0.019[/tex] and [tex]n=2[/tex] in APY formula we will get,

[tex]APY=(1+\frac{0.019}{2})^2-1[/tex]

[tex]APY=(1+0.0095)^2-1[/tex]

[tex]APY=(1.0095)^2-1[/tex]

[tex]APY=1.01909025-1[/tex]

[tex]APY=0.01909025[/tex]

Since APY is in decimal form, so we will multiply APY by 100 to get as percentage.

[tex]APY=0.01909025\times 100[/tex]

[tex]APY=1.909025\%\approx 1.9090\%[/tex]

Therefore, the the approximate APY of the account 1.9090% and option C is the correct choice.

Answer: its b

Step-by-step explanation:

27-5 = 22

22/11 = 11

there are 11 boys at the party

expression = b+5

Answer: Yes, Her balance C=$396.5.

Step-by-step explanation:

From the given table, the balance amount on 2nd September = $920

On 5th September (9/5/06), Elizabeth deposit amount = $65.00

On 12th September  (9/12/06), Elizabeth deposit amount = $61.50

Deposit amount till 12th September=[tex]\$65+\$61.5=\$126.50[/tex]

Therefore, the  balance amount on 12th September = [tex]\$920+\$126.20=\$1046.20[/tex]

On 12th September , Elizabeth withdrawal amount = $650.00

Therefore, the balance amount = [tex]C=\$1046.20-\$650.0=\$396.5[/tex]

Hence, B is the right answer.

Her balance C=$396.5.

The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.

For a refrigerator,

The coefficient of performance is Qc / W

For a Carnot refrigerator,

The coefficient of performance is Tc / (Th - Tc).

We have,

The rate at which work is done on the refrigerator depends on the specific context or situation.

In general terms,

Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.

This work is usually done by a compressor, which requires energy input to operate.

The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).

The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):

COP = Qc / W

For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:

COP = Tc / (Th - Tc)

Where:

Tc = Temperature of the cold reservoir (inside the refrigerator)

Th = Temperature of the hot reservoir (outside the refrigerator)

Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.

However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.

Thus,

The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.

Learn mroe about refrigerators and Carnot refrigerators here:

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The scenario describes calculating the multiple of growth in the US national debt from 1970 to 1990 using scientific notation, showing that the debt was nearly 9 times larger in 1990 than in 1970

Let's create a scenario involving the United States' national debt from two different decades using multiplication in scientific notation. Imagine the government wanted to compare the debt from 1970 to that of 1990 to analyze the growth. The debt in 1970 was approximately $370.9 billion, and in 1990, about $3,233.3 billion. To find out how many times larger the debt was in 1990 compared to 1970, we'd convert these numbers into scientific notation and divide the 1990 figure by the 1970 figure.

In scientific notation, the 1970 debt is 3.709 x 1011 dollars, and the 1990 debt is 3.2333 x 1012 dollars. To perform the division, we have (3.2333 x 1012) / (3.709 x 1011) which gives us approximately 8.71. This means the national debt in 1990 was nearly 9 times larger than it was in 1970

12 inches in a foot so 9 inches = 9/12 of a foot

9/12 reduces to 3/4

so 4 ft 9 inches = 4 3/4 feet

Answer: 0.003

Explanation:

The perimeter of triangle XYZ with vertices X(3,7), Y(-1,-5) & Z (6,-4) will be [4√10 + 5√2 + √130] units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

The vertices are given below.

X(3,7), Y(-1,-5) & Z (6,-4)

The length of XY is given as,

(XY)² = (7 + 5)² + (3 + 1)²

(XY)² = 144 + 16

XY = 4√10 units

The length of YZ is given as,

(YZ)² = (- 4 + 5)² + (6 + 1)²

(YZ)² = 1 + 49

YZ= 5√2 units

The length of XZ is given as,

(XZ)² = (7 + 4)² + (3 - 6)²

(XZ)² = 121 + 9

XZ = √130 units

The perimeter of triangle XYZ is given as,

P = 4√10 + 5√2 + √130

More about the triangle link is given below.

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Answer:

The answers are :

1. parallel lines

2. midpoint of a line segment

Step-by-step explanation:

The mathematical terms that cannot be defined for all cases in a system of geometry are:

1. parallel lines and  

2. midpoint of a line segment.

A parallel line cannot be defined as lines do not occupy any space. It is a straight one dimensional figure with no thickness and it extends infinitely in both directions.

The points also do not have any dimension like length, area, volume etc.