Select three ratios that are equivalent to16:12

Baltazar signed a contract to work for a company with a monthly salary of $10240. If he realizes that he is being charged $1433.60 for savings funds upon receiving his first payment.

What percentage is being deducted for this concept,When a company deducts money from an employee's salary to be held in a savings fund, it is referred to as a savings fund deduction. It is a portion of an employee's salary that is collected and set aside by an employer. It is taken from the employee's pre-tax income and placed into a fund for retirement, vacation, or other purposes.

Let us calculate the percentage of savings fund deduction in the given situation.First, we'll find out how much money is being deducted:$10240 × 1433.60/100 = $1467.62The amount of money deducted from Baltazar's salary is $1467.62.To find the percentage, divide the deducted amount by the salary:1467.62/10240 × 100 = 14.34%Therefore, the percentage that Baltazar is being charged for savings funds is 14.34%.

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The perimeter of the entire figure is 62.8 cm.

Given, that the diameter of the inner semicircles is 9 cm and the width between the outer and inner semicircles is 2 cm.

The radius of the inner semicircle =4.5 cm and the radius of outer semicircle =5.5 cm (∵Diameter=9+2=11 cm)

We need to find the perimeter of the entire figure.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

We know that, the circumference of a semicircle=πr and the circumference of two semicircles=2πr

Thus, the circumference of inner semicircles=2×3.14×4.5=28.26 cm

The circumference of outer semicircles=2×3.14×5.5=34.54 cm

The perimeter of the entire figure=28.26+34.54=62.8 cm

Therefore, the perimeter of the entire figure is 62.8 cm.

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The perimeter of whole path is 12.56 cm

Perimeter is the distance around the edge of a shape.

r1= 4.5cm, r2= 6.5cm

Perimeter of semicircle 1,

=πr1

= 3. 14 * 4.5

= 14.13 cm

Perimeter of semicircle 2

=πr2

= 3. 14 * 6.5

= 20.41 cm

Perimeter of path = 20.41 - 14.13 =6.28 cm

Perimeter of whole path = 2 * 6.28 =12.56

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Answer:

1 and 1/8

Step-by-step explanation:

Answer:

$5.63

Step-by-step explanation:

Each bag of bananas is $5.63.

If you divide $28.15 by 5 you get $5.63.

The p-value of the test corresponding to study a was found to be 0. 40. and the p-value for study b is 0.80

The entire area under the crucial range of values on both sides of the curve in a two-tailed test represents the likelihood of occurrence (negative side and positive side)

As a result, the connection below provides the probability values for a two-tailed test when compared to a one-tailed test.

Here

By replacing the supplied value in the previous equation, we obtain -

values of the probabilities for a two-tailed test

p-value = P (alpha/2) +  P (alpha/2)

p-value = 0.40 + 0.40

            =0.8

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Let's list down the given information in the question.

Instructor and a room = $12, 700

Cost per student = $31.00

Cost per credit hour = $83

If the charge per credit hour is $83 and the section to be run is for 5 credit hours then, total charge is $83 x 5 = $415. This means every student will have to pay $415 for the subject Business Precal.

On the other hand, the college spent $12700 for the instructor and the room as well as $31 per student.

Assuming that x = the number of students, then we can have the equation below:

where 31x is the cost per student per quarter and 415x is the charge per student for the subject Business Precal. The cost of the school must be less than or equal to its total charges to the school.

From that inequality, let's solve for x.

Hence, the minimum number of students they need to let the section is 34.

At 34 students, the school will be able to spend $13, 754 and its total charges to the student is $14, 110.

Whereas, at 33 students, the school will be able to spend $13, 723 but their total charges to the student is only $13, 695.

Hence, they need at least 34 students in order to run the section Business PreCal.

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

Answer:

a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n

b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n

c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n

Step-by-step explanation:

They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.

The general formula is

T(n) = T(0)+n*D

where

n = the term number

T(n) = nth term (considering the first term to be the zeroth term.

D = common difference

a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n

b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n

c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n

Answer:

I think its D

Step-by-step explanation:

It's obviously not A, because A has an x instead of y. B makes no sense because the range is 2-6. C makes no sense. D is the only logical answer.

The range of the function for this situation is 17 ≤ w ≤ 47

An equation is an expression used to show the relationship between two or more variables.

Let x represent the number of textbooks in the box

The company requires a student to order at least 2 books, hence:

x ≥ 2.

w(2) = 7.5(2) + 2 = 17

Also they do not require more than 6 books, hence:

x ≤ 6

w(6) = 7.5(6) + 2 = 47

The range of a function is the set of possible dependent variables.

Hence, the range of the function for this situation is 17 ≤ w ≤ 47

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Answer:

b can I have

Step-by-step explanation:

The required volume of the solid which was obtained by rotating the region bounded by the curve about a line is equal to  ( π/2 ) (  e⁻⁴  + e⁴).

Graph is attached.

Volume of the solid rotating the region bounded by the curves about a line with y = eˣ with x = −2, x = 2 about x-axis.

=π \(\int_{-2}^{2}\) [( eˣ - 0)² ] dx

= π \(\int_{-2}^{2}\) e⁽²ˣ⁾ dx

= π (e²ˣ) / ( 2 \(|_{-2}^{2}\)

= ( π/2 )[  e⁻⁴  - e⁴  ]

= ( π/2 ) (  e⁻⁴  +  e⁴ )

Graph is attached.

Therefore, the volume of the solid of the rotating region bounded by curves about line is equal to  ( π/2 ) (  e⁻⁴  +  e⁴ ).

Graph is attached.

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a. 2⁴= 2×2= 16.

b. (-4)²=

since the power of two is even, the result will be positive.

4²= 2×2×2×2=16.

c. 5³*4=

d. 0.7²=0.49.

e. 5(4²+9²-121°)

5×(16×81-121°)

x°=1

121°= 1.

5×(16+81-11).

16+81-1= 96

5 ×96= 480

ANS= 480.

F. 5 5÷ 5³

5 5= 5×5×5×5×5 = 3125

5³= 5×5×5=125

3125÷125= 25.

G. 11¹0÷11–⁴ =

11¹0= 25937424601.

use negative power rule.

25937424601÷¹/11⁴

11⁴= 14641

25937424601÷ ¹/14641

use this rule a÷ b/c= a×c/b.

25937424601 ×14641/1 = 379749833583241.

H. √5²+12² - 4

√25+ 144 -4

√169-4

square root of 169=13

13-4= 9.

I. ³√-4×16

-4×16= -64.

³√64= -4

J. ⁴√50625

Rewrite 50625 as it's prime factor.

⁴√3×3×3×3×5×5×5×5.

Group the same prime factors into groups of four.

⁴√(3×3×3×3)×(5×5×5×5).

Rewrite each group if four in four exponent form.

⁴√3⁴×5⁴

Use the rule ⁴√x⁴=x.

3×5=15.

Answer:

Least 2/5

1/2

Greatest 6/10

Step-by-step explanation:

First, you need to make the denominators the same. Make sure to multiply both the numerator and denominator

2 * 2 = 4

5 * 2 = 10

1 * 5 = 5

2 * 5 = 10

Once they all have the same denominator, line them up using the numerator

There probability are 120 unique ways for the 5 friends to sit in the row of 6 seats.

The group of 5 friends has 120 unique ways to sit in the row of 6 seats. This is because for each seat in the row, the group has 5 different options for who will sit in it. Additionally, for each option there are 4 more options for the remaining 4 friends. This means the group has 5x4x4x4x4 or 5x4^4 possible combinations, which is 120. To calculate this, it is helpful to think of the row of 6 seats as 6 boxes and the 5 friends as 5 balls. For each box, there is a choice of 5 different balls and for each ball there is a choice of 4 different boxes. This is why the total number of combinations is 5x4^4.  The friends may not be able to sit in the same combination twice, so it's important for them to find the arrangement that works best for them.

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The static method named median accepts three integers as parameters and that returns the middle value of the three.

JavaCode:

public class ThreeNumMedian

{

public static void main( String... s )

{

System.out.println(median(7,3,9));

System.out.println(median(29,-14,11));

System.out.println(median(752,64,121));

}

private static String median(int x, int y, int z)

{

if( y < x ) {

int t = x;

x = y;

y = t;

}

if( z < y ) {

int t = y;

y = z;

z = t;

}

return String.valueOf(y);

}

}

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To convert grams per deciliter (g/dL) to milligrams per liter (mg/L), we can use the following conversion factors: 1 gram = 1000 milligrams and 1 deciliter = 100 milliliters.

To convert grams per deciliter (g/dL) to milligrams per liter (mg/L), we need to convert the units of both the numerator (grams) and the denominator (deciliter) to the desired units (milligrams and liters, respectively).

First, we convert grams to milligrams using the conversion factor 1 gram = 1000 milligrams. This step ensures that the units of mass are consistent.

Next, we convert deciliters to liters using the conversion factor 1 deciliter = 100 milliliters. This step ensures that the units of volume are consistent.

By applying these conversion factors, we can transform the units from grams per deciliter (g/dL) to milligrams per liter (mg/L). The conversion process involves multiplying the value in g/dL by 1000 (to convert grams to milligrams) and dividing by 100 (to convert deciliters to liters). The resulting value will be in mg/L, which represents the desired unit for the concentration.

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Answer:

189.992

Step-by-step explanation:

divide the speed value by 2.237

The standard deviation for the given sample data is 2.83.

To calculate the standard deviation, we first need to calculate the mean of the sample data:

Next, we calculate the deviation of each data point from the mean:

Then, we square each deviation:

Next, we calculate the sum of squared deviations:

To calculate the variance, we divide the sum of squared deviations by the sample size minus one:

Finally, we calculate the standard deviation by taking the square root of the variance:

Therefore, the standard deviation for the given sample data is 2.83. This tells us how spread out the data points are from the mean, with most data points being within 2.83 units of the mean.

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Answer:

D. 3x + 5  = 2x -6

The volume of a chlorine atom is approximately 1.5376×10^(-24) cubic centimeters. The volume of a cube can be calculated using the formula V = L × W × H, where L, W, and H represent the lengths of the three sides of the cube.

In this case, the edge length of the cube is given as 4.50×10^(-3) cm. Since a cube has equal sides, we can substitute this value for L, W, and H in the formula.

V = (4.50×10^(-3) cm) × (4.50×10^(-3) cm) × (4.50×10^(-3) cm)

Simplifying the calculation:

V = (4.50 × 4.50 × 4.50) × (10^(-3) cm × 10^(-3) cm × 10^(-3) cm)

V = 91.125 × 10^(-9) cm³

Therefore, the volume of the cube is 91.125 × 10^(-9) cubic centimeters.

Moving on to the second part of the question, the volume of a spherical object, such as an atom, can be calculated using the formula V = (4/3) × π × r^3, where r is the radius of the sphere. In this case, the radius of the chlorine atom is given as 1.05×10^(-8) cm.

V = (4/3) × π × (1.05×10^(-8) cm)^3

Simplifying the calculation:

V = (4/3) × π × (1.157625×10^(-24) cm³)

V ≈ 1.5376×10^(-24) cm³

Therefore, the volume of a chlorine atom is approximately 1.5376×10^(-24) cubic centimeters.

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Answer:

Since ot asked you to do it in exponential form, for some you have to solve it and then fo the form. I will 8 and 10 and you can try 7 and 9. If you need help on them I will help you, but try some on your own to :).

Hope this helps, thank you !!

Answer:

B is the correct answer.

Step-by-step explanation:

The data shows that the prevalence of hai (healthcare-associated infections) is higher in individuals over the age of 85 compared to those under the age of 65.

The prevalence rate for hai in individuals over 85 is 11.5%, while it is 7.4% in patients under 65. This indicates that age is a factor that influences the occurrence of hai. The data reflects that the prevalence of healthcare-associated infections (hai) is significantly higher in individuals over the age of 85 compared to patients under the age of 65. Specifically, the prevalence rate for hai in individuals over 85 is 11.5%, while it is 7.4% in patients under 65. This difference suggests that age plays a significant role in the occurrence of hai. Older individuals may have weakened immune systems and are more susceptible to infections. Additionally, factors such as longer hospital stays, multiple comorbidities, and exposure to invasive procedures can contribute to the higher prevalence of hai in this age group. The higher prevalence rate in patients over 85 implies a need for targeted infection prevention and control measures in healthcare settings to minimize the risk of hai among this vulnerable population.

In conclusion, the data indicates that the prevalence of healthcare-associated infections (hai) is higher in individuals over the age of 85 compared to those under the age of 65. Age is a significant factor that influences the occurrence of hai, with a prevalence rate of 11.5% in individuals over 85 and 7.4% in patients under 65. This difference can be attributed to factors such as weakened immune systems, longer hospital stays, multiple comorbidities, and exposure to invasive procedures in older individuals. To mitigate the risk of hai in this vulnerable population, targeted infection prevention and control measures should be implemented in healthcare settings.

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Answer:

y= -3/2x + 2

Step-by-step explanation:

If you doubled a penny every day, you would have $5,368,709.12

You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars

On day 30, if you doubled a penny every day, you would have $5,368,709.12.

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