1. Mr. Park pays $1000 per month in rent.
Before depositing his paycheck, his checking
account balance was $359.47. After the
deposit, it was $1441.33. Will Mr. Park have
enough money to pay his rent?

Answer:

The answer to your problem is, C.

Step-by-step explanation:

From the given figure it is noticed that the radius of a circle is 11 inches and the centers of two circles are 20 inches apart. The length of the direct common tangent between both circles is 19 inches.

If the centers of two circles of radius r₁ and r₂ are d units apart, then the length of the direct common tangent between them is

[tex]L = \sqrt{d^{2} - (r_{1} - r_{2} )^{2} }[/tex]

[tex]19 = \sqrt{20^{2} - (11-r_{2} )^{2} }[/tex]

Next, Square both sides.

[tex]361 = 400 - ( 11 - r_{2} )[/tex]

[tex]( 11 - r_{2} )^{2} = 400 - 361[/tex]

[tex]( 11 - r_{2} )^{2} = 39[/tex]

Change the square root both sides.

[tex]11-r = \sqrt{39}[/tex]

[tex]11- 6.245 = r[/tex]

[tex]4.775 = r[/tex]

[tex]R = 4.8ish[/tex]

Therefore the radius of second circle is 4.8 inches

Thus the answer to your problem is, C.

Answer:

39°

Step-by-step explanation:

angles are alternate exterior angles making them congruent

for example:

Answer:

n

Step-by-step explanation:

n

Answer: -2k^2+3k-2

Step-by-step explanation:

distribute

add

combine like terms

rearrange

The nurse will give the patient one tablet of digoxin per day. Each tablet contains 187.5 mcg, so one tablet is the correct dose for the patient.

As per given information,

Patient's daily dose is 187.5 mcg.

Here we have to calculate the number of tablets the nurse will give the patient, use the following formula:

To get the number of tablets,

We have to divide the Patient's daily dose (mcg) by tablet dose (mcg).

Plugging in the numbers from the patient's prescription, we get:

Number of tablets = 187.5 mcg / 187.5 mcg

By simplifying these we get:

Number of tablets = 1

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Answer:

20%

Step-by-step explanation:

80 - 64 = 16

16 ÷ 80 = 0.2

0.2 × 100 = 20%

Answer:

There are many options, like:

14/1 or 28/2...

Step-by-step explanation:

First write the system:

(21 x 8) / 12

Then simplify the brackets:

(168) / 12

= 14

Then you can put 14 over 1 as an example of proportionality:

14/1 : (21 x 8) / 12

Or multiply it by 2, 3 etc.:

42/3 : (21 x 8) / 12.

Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.

Standard deviation is a measure of how spread out numbers are in a data set. It is calculated by taking the square root of the variance. Variance is the average of the squared differences from the mean. Standard deviation provides an indication of how much variation there is in the data set, and is often used in statistical analysis.

The range rule of thumb is a statistical method used to determine whether a given phenomenon is significantly different from an expected value. It states that if the range of observed values is greater than two standard deviations of the expected value, then the observed values are significantly different from the expected value.

In this particular case, the expected value is 10 girls in 10 births, and the observed value is 1 girl in 10 births. Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.

The range rule of thumb is one way to determine whether observed values are significantly different from expected values, but there are other methods available as well.

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Answer:

The price was originally 16,812.00

Step-by-step explanation:

25% of 13,450 is 3,362.50.

The answer is x=6x +2

3 meats x 4 vegetables x 7 desserts = 84 choices.

There are 84 different choices for a complete meal from the given options. To calculate this, use the formula: number of choices

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The probability that at least 3 out of 5 businesses have eliminated jobs in the past year is 0.0556.

To find the probability that at least 3 out of 5 businesses have eliminated jobs, we can use the binomial probability formula:

P(X >= 3) = P(X = 3) + P(X = 4) + P(X = 5)

where X is the number of businesses out of 5 that have eliminated jobs, and P(X = k) is the probability of exactly k businesses out of 5 eliminating jobs.

Using the binomial probability formula, we can calculate the probabilities for each possible value of X:

P(X = 3) = (5 choose 3) x (0.13)³ x (0.87)² = 0.0519

P(X = 4) = (5 choose 4) x (0.13)⁴ x (0.87)¹ = 0.0036

P(X = 5) = (5 choose 5) x (0.13)⁵ x (0.87)⁰ = 0.0001

where (n choose k) represents the number of ways to choose k items from a set of n items, and can be calculated using the formula:

(n choose k) = n! / (k! * (n - k)!)

where n! represents the factorial of n.

Now we can add up these probabilities to get the probability of at least 3 out of 5 businesses having eliminated jobs:

P(X >= 3) = 0.0519 + 0.0036 + 0.0001 = 0.0556

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Answer:

21 boys

Step-by-step explanation:

girls 3+3=6+3=9+3=12+3=15+3=18+3=21

boys 2+2+2=6+2=8+2=10+2=12+2=14

3times 7=21

2 times 7 equals 14

so 21+14=35

The price of 1 liter of petrol at the cheaper petrol station is £0.68.

What is the conversion rate?

Just dividing the number of conversions by the total number of ad interactions that can be linked to a conversion within the same time period yields the conversion rate. Your conversion rate would be 5%, for instance, if you had 50 conversions out of 1,000 interactions, as 50 divided by 1,000 equals 5%.

Here, we have

Given: The prices of petrol in a British and an American petrol station are shown below. The conversion rate is $1 = £0.80.

We have to find the price of 1 liter of petrol in the cheaper petrol station.

$1 = £0.80

= £13.20×($1/£0.80)

= $16.5

For British petrol station

12 liter of petrol = $16.5

1 liter = $16.5/12

1 liter = $1.375

For American petrol station

20 liters of petrol = $17

1 liter = $17/20

1 liter = $0.85

The price of cheaper petrol from American petrol stations = $0.85× (£0.80/$1)

= £0.68

Hence, the price of 1 liter of petrol at the cheaper petrol station is £0.68.

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The probability density function (PDF) of a chi-squared distribution is used to describe the probability of a certain outcome occurring when a continuous random variable is sampled. The PDF is a mathematical formula that gives the probability of a given value of the random variable, x, occurring. It is typically expressed as f(x).

The chi-squared distribution is a type of continuous probability distribution that is used to describe the sum of the squares of multiple normally distributed random variables. Its PDF is represented as:

f(x) = 1/2k/2π-1/2 * xk/2-1 * e-x/2

Where x is the value of the chi-squared random variable and k is the number of degrees of freedom.

The PDF of the chi-squared distribution is used to calculate the probability of a particular outcome. It is used in hypothesis testing to determine the probability that a given set of data fits a certain distribution. It is also used to estimate the confidence intervals of parameters in various models.

The chi-squared distribution is widely used in statistical applications, such as testing for goodness of fit, tests for independence, tests for homogeneity, and tests for normality. It is also used in the analysis of variance, analysis of covariance, regression analysis, and other advanced statistical techniques.

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Therefore, the total number of sets of four marbles, including exactly two green marbles, is 720.

The given bag contains a total of [tex](2+4+1+6+5)=18[/tex] marbles.

There are two possibilities of selecting two green marbles and the other two marbles in a set, as shown below;GG -- NN (No Green Marbles)GG -- RR (No Green Marbles)GG -- YY (No Green Marbles)GG -- OO (No Green Marbles)GG -- GL (Lavender)GG -- RG (Red)GG -- OG (Orange)

The first two options have no green marbles; thus, they are eliminated. We can select non-green marbles in C(16,2) = 120 ways, then multiply by C(4,2) = 6 to choose two green marbles out of four.So, the total number of such sets is

[tex]120 × 6 = <<120*6=720>>720.[/tex]

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Therefore, a monthly payment of $168.62 must be made to pay off the $3,500 balance on the credit card in two years.

Percent is a way of expressing a number as a fraction of 100. The symbol for percent is "%". Percentages are used in many different contexts, such as finance, economics, statistics, and everyday life.

Here,

To calculate the monthly payment required to pay off the $3,500 balance on a credit card that charges 16.5% interest, compounded monthly, in two years, we can use the formula for the present value of an annuity:

[tex]PMT = PV * r / (1 - (1 + r)^{-n})[/tex]

where PMT is the monthly payment, PV is the present value of the loan, r is the monthly interest rate, and n is the total number of payments.

First, we need to convert the annual interest rate of 16.5% to a monthly interest rate:

r = 0.165 / 12

= 0.01375

Next, we need to calculate the total number of payments over two years:

n = 2 * 12

= 24

Now we can plug in the values into the formula:

[tex]PMT = 3500 * 0.01375 / (1 - (1 + 0.01375)^{-24}) = $168.62[/tex]

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The total volume of the pool is 156 yd³. Option D

First, to determine the volume, we need to note the properties of a rectangular prism.

The formula for volume of a rectangular prism is;

Volume = lwh

Given that;

Now, substitute the value

Volume = 8 × 3 × 13/2

Volume = 312/2

Volume = 156 yd³

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the parameter and obtain the standard form of the rectangular equation would be: [tex]\frac{y-k}{r} = sin\theta.................(2)\\\\[/tex]

[tex]x=h+rcos\theta ,y=k+rsin\theta\\x-h=rcos\theta\\\frac{x-h}{r}=cos\theta...................(1)y=k+rsin\thetay-k=rsin\theta[/tex]

[tex]\frac{y-k}{r} = sin\theta.................(2)\\\\[/tex]

square and add both the equations

[tex]\frac{(x-h)^2}{(r^2)} + \frac{(y-k)^2}{(r^2)} = sin^2\s\theta + cos^2\s\theta\\\\\frac{(x-h)^{2}}{r^{2}}+\frac{(y-k)^{2}}{r^{2}}=1\\\\ the value of (sin^{2}\theta+cos^{2}\theta=1)\\\\(x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

The overall rectangular (or standard) form of the perplexing numbers is a + b I. We can change over complex numbers in rectangular form, by tracking down r = a 2 + b 2 and θ = tan − 1 ⁡.

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The height of a man with a z-score of 0 is 69 inches.

The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:

z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.

To find the height of a man with a z-score of Standardized value(z) = 0

z = (x - μ)/σ

0 = (x - 69)/2.8

x = 69 + 0 (2.8)

x = 69 inches.

Therefore, the height of a man with a z-score of 0 is 69 inches.

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Therefore, to calculate the design strength of the double-angle shape with the given parameters, the procedure of AISC Section E4 (a) is used to calculate the flexural and flexural-torsional design strength, which can then be compared to determine the highest design strength.

The design strength for the double-angle shape is calculated using the procedure of AISC Section E4 (a).

The given information is: 2L8 times 4 times 3/4, long legs 3/8-in. back-to-back, Fy = 36 ksi; KL is 20 feet for all axes, and there are two intermediate connectors.

To calculate the flexural design strength, the flexural buckling strength is first determined by calculating Euler's critical stress, Fcr, and then multiplying it by the design section modulus.

The Fcr can be calculated using the formula Fcr =[tex]0.658 x SQRT(Fy x KL)[/tex]and the design section modulus can be calculated using the formula [tex]Z = (b x d^2)/6[/tex].

To calculate the flexural-torsional design strength, the flexural-torsional buckling strength is first determined by calculating the effective length, Kx, and then multiplying it by the torsional constant, J. The Kx can be calculated using the formula Kx = 2.6 (L/r) and the torsional constant, J, can be calculated using the formula J = [tex](b d^3)/3.[/tex]

Finally, the flexural design strength and the flexural-torsional design strength can be compared to determine the highest design strength of the double-angle shape.

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There is no specific number pattern for the sequence { 6, 1, 8,4, 2, 7} but to determine the next term of sequence we can use the following patterns

1) for even place terms pattern is

aₙ = aₙ₋₂ + 3.

2) for odd place terms pattern is first aₙ

= aₙ₋₂ + 2 and for next aₙ₊₂ = aₙ - 6, where n is odd number.

A pattern is a series or sequence of repetitions. A number pattern is a series of numbers that follow a specific order in mathematics. Patterns usually describe inverse relationships between numbers.

A sequence of numbers can also be called a pattern. The types of number patterns are classified as

We need to write a pattern for 6, 1, 8, 4, 2, 7. Now the sequence is 6, 1, 8, 4, 2, 7,

First term = 6

Second term = 1

Break this sequence down into odd and even terms or enteries. The order of odd entries is 6,8,2,.. So the pattern here is 2 and -6, i.e. 7ᵗʰ entry = 2 + 2 = 4 and 9ᵗʰ entry = 4+ 6 = 10 and so on. Now for Evan's bit term, 1,4,7,.. The pattern here is aₙ = aₙ₋₂ + 3. where n is an even number. So the entire sequence has no pattern, but the odd and even elements can be determined by different patterns.

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The graph of the equation is a parabola with its vertex at (10, 0), and it can also be used to calculate the diameter of the lesion for any given time.

Suppose a medical researcher constructs a mathematical model describing the size of a lesion. The model that describes the diameter of a lesion in cm as function of time(days) is given by [tex]D(t)= (t-10)^2[/tex]; 0. We will solve this problem by finding the answer step by step. FunctionThe function of the lesion's size over time is provided by the equation D(t)= (t-10)2, where t is the time in days and D(t) is the diameter of the lesion at the time t.

The origin of this equation is given by D(t) = f(t), where the variable t represents the independent variable, and the variable D(t) represents the dependent variable. To calculate the diameter of the lesion over time, substitute values of t into the equation D(t) = (t-10)2. When t = 0, for instance, D(0) = (0-10)2 = 100. This means that the lesion's diameter at time zero is 100cm.

The model's interpretation The mathematical model that describes the diameter of a lesion as a function of time was created by a medical researcher. The equation D(t) = (t-10)2 represents this model. The researcher's model indicates that the diameter of the lesion is equal to the square of the difference between the time and ten. The difference between the time and ten is squared, which means that the model represents a parabolic curve.

The question is, "Suppose a medical researcher constructs a mathematical model describing the size of a lesion. The model that describes the diameter of a lesion in cm as a function of time (days) is given by D(t)= (t-10)^2; answer in 200 words."
The given equation is a quadratic function, which is expressed as[tex]D(t)= (t-10)^2.[/tex]This means that the diameter (D) of the lesion is dependent upon the time (t) that has passed since the lesion's onset. Specifically, the diameter of the lesion will increase as the time since onset increases.
The graph of this equation will be a parabola with its vertex at (10, 0). This is because, when t=10, the diameter of the lesion (D) will be zero. As t increases, the graph will move up and to the right, forming a parabola with a positive slope.
In addition to describing the diameter of the lesion as a function of time, the equation also allows us to calculate the diameter of the lesion for any given time. To do this, we can plug in the desired time value for t, and calculate the resulting diameter.
For example, if the medical researcher wants to determine the diameter of the lesion when t=15 days, they can plug in 15 for t, and calculate that the diameter of the lesion at that time is 25 cm. This can be found by plugging in 15 for t and calculating [tex]D(15)=(15-10)^2[/tex]=25 cm.
In conclusion, the equation[tex]D(t)= (t-10)^2.[/tex]is a quadratic function that describes the diameter of a lesion in cm as a function of time (days). The graph of the equation is a parabola with its vertex at (10, 0), and it can also be used to calculate the diameter of the lesion for any given time.

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Answer:

D

Step-by-step explanation:

Volume: π*[tex]r^{2} *h[/tex]= π*[tex]4^{2}[/tex]*6.2=311.49

Answer:

H=25

I=36

Step-by-step explanation:

The nurse will administer 3 tablets of Coreg to meet the prescribed dosage of 9.375 mg PO daily.

The prescription order is for the nurse to administer 9.375mg of Coreg tablets orally each day. The Coreg tablets have a dosage strength of 3.125mg per tablet. To calculate the number of tablets the nurse needs to administer, we can divide the total dosage needed (9.375mg) by the dosage strength per tablet (3.125mg per tablet).

This results in the nurse administering 3 tablets to meet the prescribed dosage. Therefore, the nurse should give 3 tablets of Coreg to the patient each day to ensure they receive the correct amount of medication.

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The given question is incomplete, the complete question is:

the pharmacy sends the nurse the following coreg tablets. the order is to administer 9.375 mg po daily. how many tablets will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.

Answer:

z ≥ 9

Step-by-step explanation:

z ≥ 9

(The number z is greater than or equal to 9)

...

All dodecagons must have eleven sides is false and and can be proven through a counter example.

What are dodecagons?

A dodecagons is a polygon which has 12 sides, 12 vertices. In this word do means "Two" and deca means "Ten".

Similar to other polygons, a dodecagon is also a two-dimensional plane figure. A regular dodecagon polygon has 12 equal sides and has 12 equal measures of angles. Irregular dodecagons have unequal sides and angles. Also, a dodecagon can be a convex polygon or concave polygon.

What is a Polygon?

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges.

So a dodecagon must have twelve sides even though it may be regular or irregular.

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Answer: D

Step-by-step explanation: It is going up in a strait trend line, making it where it has no relation ship unless very closely  examined.

Therefore , the solution of the given problem of equation comes out to be the stone will reach its maximum height 2 seconds after being thrown.

Variable words are widely used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic figures. Think about the information that y + 7 provides. When paired with construct y + 7, elevating results in b + 7 in this circumstance rather than another method that may divide 12 equal two halves.

Here,

The height of the stone above the water is given by the function:

=> w(x) = -5(x-8)(x+4)

To find the time when the stone reaches its maximum height, we need to find the vertex of the parabola that represents this function. We can do this by using the formula:

=> x = -b / 2a

where a = -5 and b = -5(8+(-4)) = -20.

Substituting these values into the formula, we get:

=> x = -(-20) / 2(-5) = 2

Therefore, the stone will reach its maximum height 2 seconds after being thrown.

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