35 points in a game if the team scored 21 points the first half the fraction of the total scored in the second half was

Answer: 0.003

Explanation:

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

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

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27-5 = 22

22/11 = 11

there are 11 boys at the party

expression = b+5

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.

Answer:

Option 3. 1/14

Step-by-step explanation:

The bag held some coins that are

pennies = 10

nickels = 6

dimes = 5

total coins = 10 + 6 + 5 = 21 coins

You drew 2 coins without replacement,

so the probability that first draw will be nickel = [tex]P_{1}[/tex] = 6/21 = 2/7

Second draw will be a dime  = [tex]P_{2}[/tex] = 5/20 = 1/4

P = [tex]\frac{2}{7}[/tex] × [tex]\frac{1}{4}[/tex] = 2/28 = 1/14

Option 3. 1/14 would be the answer.

Final answer:

The probability of withdrawing a nickel and then a dime from the bag without replacement is 1/14, calculated by multiplying the independent probabilities of drawing each coin in sequence (6/21 for the nickel and 5/20 for the dime).

Explanation:

The student has asked for the probability of withdrawing first a nickel and then a dime from a bag containing ten pennies, six nickels, and five dimes, without replacement. To solve this, we calculate the probability of each event independently and then multiply these probabilities, since the events are dependent.

First, the probability of drawing a nickel: There are six nickels and a total of 21 coins, so the probability is 6/21. After drawing a nickel, there are five dimes left out of 20 coins total, thus the second probability is 5/20. Multiplying these together gives us:

(6/21) * (5/20) = 30/420 = 1/14

So, the probability of drawing a nickel and then a dime without replacement from this bag of coins is 1/14.

Answer: its b

Step-by-step explanation:

The employer would need to pay $19.13 in payroll taxes for this employee.

Payroll tax is a tax that employers are required to deduct from their employee's wages and pay to the government on their behalf.

It is a tax on the wages or salaries that employees earn and is used to fund various government programs, such as Social Security, Medicare, and unemployment insurance.

We have,

The amount an employer needs to pay for payroll taxes depends on several factors.

The employee's gross wages

The type of payroll taxes.

The tax rates are in effect.

Now,

The two primary types of payroll taxes that employers are responsible for are:

Social Security tax:

This tax funds the Social Security program and is calculated as a percentage of the employee's gross wages, up to a certain limit.

In 2023, the Social Security tax rate is 6.2% for both employers and employees, and the wage base limit is $147,000.

Medicare tax:

This tax funds the Medicare program and is calculated as a percentage of the employee's gross wages, with no limit.

In 2023, the Medicare tax rate is 1.45% for both employers and employees.

Assuming the employee owes $250 for Social Security and Medicare taxes combined, and the employer is responsible for paying the same percentage rate as the employee,

The employer would need to pay an additional $250 in payroll taxes.

i.e

Social Security tax.

= $250 x 6.2%

= 250 x 6.2/100

= $15.50

Medicare tax.

= $250 x 1.45%

= 250 x 1.45/100

= $3.63

Total payroll taxes owed by the employer.

= $15.50 + $3.63

= $19.13

Therefore,

The employer would need to pay $19.13 in payroll taxes for this employee.

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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.

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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

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.

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.