Fill in the blank to make the fractions equivalent.

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

The amount of water needed to be drank is approximately 2 cups of water are required for every pound of body weight reduced.

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

Refilling fluid: To add fluid to something that has been drained, in particular: to replace any fluids the body has lost from dehydration. assist a patient in hydrating.

Oral rehydration solutions (ORSs), which include Pedialyte, are used to treat dehydration. ORSs, which help replace lost fluids, include the correct ratio of salt, sugar, potassium, and other minerals.

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Complete question - A general rehydration recommendation after exercise is 2.5 cups of fluid for every 1 pound of body weight lost. Using this guideline, how much fluid would Vanessa need to consume to make up for the weight that was lost during her run?

Calculation: 2 cups x lbs of body weight lost = cups of water needed

A. Approximately 4 cups of fluid

B. Approximately 8 cups of fluid

C. Approximately 6 cups of fluid

D. Approximately 10 cups of fluid

7. Vanessa asks if she should start using sports drinks. Which of the following would best answer Vanessa's question?

A. A sports drink is not beneficial for you at this time and may provide unnecessary calories.

B. A sports drink would be beneficial to replace fluid and electrolytes when exercising for less than 30 minutes.

C. A sports drink would be beneficial on days when you are exercising for over an hour at a higher intensity.

8. If Vanessa uses a sports drink in the future, how much glucose, sodium and potassium should be provided per 24 fluid ounces of sports drink?

A. No more than 30 g of glucose, 450 g of sodium and 225 mg of potassium.

B. No more than 75 g glucose, 150 mg sodium, 175 mg potassium.

C. No more than 15 g of glucose, 500 mg sodium, 200 mg potassium.

D. No more than 45 g of glucose, 225 mg of sodium and 275 mg of potassium.

Answer:

r=6

Step-by-step explanation:

subtract r from 5r to get 4r, and add 9 to the other side, 4r=24, divide 24 by 4 to get 6

Answer:

The set of numbers 3 in, 4 in, and 5 in can form a triangle. a) is correct

Explanation:

A triangle is possible to be drawn only if the sum of the lengths of any two sides is greater than the length of the third side.

a) Is correct.

Testing all the posible combinations: 3+4>5, 4+5>3, 3+5>4. True. Hence, Option a is the correct choice,

b) Is incorrect

Since 1+7>8 is false, this choice is not correct

c) Is incorrect

Since 3+5>9 is false, this choice is not correct

Answer:

5x - 10

Step-by-step explanation:

7x - 2(x + 5)

= 7x - 2x -10

Please mark me brainliest if my answer is correct! Thanks!

= 5x - 10

Remember that

z =(x - μ)/σ

where

μ=24.5 pounds

σ=2.8 pounds

so

For x=27.3 pounds

Find out the value of z

z=(27.3-24.5)/2.8

z=1

Looking at the given tables

The probability is equal to (100-84.13)=15.87

therefore

In 55 seconds, a bicycle traveling at a speed of 22 miles per hour will cover approximately 403.33 feet.

To determine the distance the bicycle will cover, we need to convert the speed from miles per hour to feet per second. Since 1 mile is equal to 5,280 feet and 1 hour is equal to 3,600 seconds, we can convert 22 miles per hour to feet per second as follows:

22 miles/hour * 5,280 feet/mile / 3,600 seconds/hour ≈ 32.267 feet/second

Now, we can calculate the distance covered by the bicycle in 55 seconds by multiplying the speed (in feet per second) by the time (in seconds):

32.267 feet/second * 55 seconds ≈ 1774.68 feet

Rounding this value to two decimal places, the bicycle will cover approximately 1774.68 feet in 55 seconds.

In 55 seconds, a bicycle traveling at a speed of 22 miles per hour will cover approximately 403.33 feet. This calculation is based on the conversion of the speed from miles per hour to feet per second and multiplying it by the given time. It's important to note that the calculated value is an approximation and may vary slightly depending on rounding or the exact conversion factors used.

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Answer:

its the one with 2000$ in it

Step-by-step explanation:

Nathalie made 44 necklaces last month.

Let's solve the problem step by step:

Let's assume that Nathalie made x necklaces last month. According to the problem, Aaron made 14 fewer necklaces than Nathalie, so Aaron made (x - 14) necklaces.

The total number of necklaces made by Nathalie and Aaron is given as 74. So we can write the equation:

x + (x - 14) = 74

Combining like terms, we get:

2x - 14 = 74

Adding 14 to both sides of the equation:

2x = 74 + 14

2x = 88

Dividing both sides by 2:

x = 44

Therefore, Nathalie made 44 necklaces last month.

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The probability that the orange pencil and then the green pencil will be chosen at random, without replacement is 0.15.

To find what is the probability that the orange pencil and then the green pencil will be chosen at random, without replacement:

Therefore, the probability that the orange pencil and then the green pencil will be chosen at random, without replacement is 0.15.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Answer:

1,400 screws

Step-by-step explanation:

You need 1,1116 screws so 1,400 screws is the right amount.

Answer:

the answer would be 1,400 screws 40 × 10 + 20 × 50 = 1,400

Step-by-step explanation:

Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

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If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

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We can rewrite the equation of the given line from 3x + 4y = 12 to the slope-intercept form like this:

3x + 4y = 12

3x - 3x + 4y = 12 - 3x

4y = 12 - 3x

y = (12 - 3x)/4

y = 12/4 - 3/4x

y = 3 - (3/4)x

As you can see, the slope of this line is -3/4, since this line is parallel to the line that passes through the point (-4, 7), their slopes are the same, then we can write the equation of the second line in slope-intercept form to get:

y = -3/4x + b

By replacing the x and y-coordinates of the point (-4, 7) where the line passes through, we get:

7 = (-3/4)(-4) + b

7 = 3 + b

7 - 3 = b

4 = b

b = 4

By replacing 4 for b, into the above equation, we get: the equation of the line parallel to 3x + 4y = 12 and that passes through (-4, 7):

y = -3/4x + 4

Answer:

Yes

Step-by-step explanation:

Given:

8,-9

4x + 5y = -13

Solve:

4(8) + 5(-9)

32 + -45  = -13

Hence 8,-9 is a solution to 4x+5y=-13

~lenvy~

Answer: probability distribution is a function of a discrete variable whose integral over any interval is the probability that the random variable specified by it will lie within that interval.

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059

Step-by-step explanation:

Answer:

X=-8

Step-by-step explanation:

81^(x-4)=9^3x

(9^2)^(x-4)=9^3x

9^(2x-8)=9^3x

Same base socompare both sides

So 2x-8=3x

2x-3x=8

-x=8

X=-8

So the value of X is -8

Answer:

2.5

Step-by-step explanation:

just divide 50 by 20

Positive image height indicates an upright image, whereas negative image height indicates an inverted image.
Based on these steps, we can conclude that the image height in this case is negative.

If an image is real and inverted, then the image height can be determined as follows:
Identify the properties:

In this case, the image is real and inverted.
Understand the terms:

A real image is formed when light rays converge at a point, while an inverted image means that the image is upside down compared to the object.

Analyze the height: In the context of optics, the image height refers to the vertical size of the image formed by an optical system.

Positive image height indicates an upright image, whereas negative image height indicates an inverted image.
Based on these steps, we can conclude that the image height in this case is negative.

This is because the image is inverted, and a negative image height signifies that the image is upside down compared to the object.

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Answer:Length of paddle boat=9 1/4

Step-by-step explanation:

Difference between lengths of a paddle boat and a pier i= -6 1/2 feet

Length of pier=15 3/4

Length of paddle boat=??

Length of paddle boat- Length of pier=-6 1/2

Length of paddle boat = -6 1/2 + 15 3/4

( Add whole numbers to whole numbers and fraction to fraction)

=9 -2+3 /4

=9 1/4

Answer:

doldldelvprpepvorl2oeofoorrlclclclg

After 10 seconds, plane A would be at an altitude of 564 meters, and plane B would be at an altitude of 240 meters.
The initial altitude of plane A is 414 meters, and it's gaining altitude at a rate of 15 meters per second.

Let's say we want to find the altitude after t seconds. We can use the formula: altitude of plane A = initial altitude + rate * time. So, the altitude of plane A after t seconds is 414 + 15t meters.

For plane B, it's just taking off, so its initial altitude is 0. It's gaining altitude at a rate of 24 meters per second. Similarly, the altitude of plane B after t seconds is 0 + 24t meters.

Now, if you want to compare their altitudes at a specific time, let's say after 10 seconds, you can substitute t = 10 into the equations. The altitude of plane A after 10 seconds would be

414 + 15 * 10 = 564 meters

The altitude of plane B after 10 seconds would be

0 + 24 * 10 = 240 meters.

Therefore, after 10 seconds, plane A would be at an altitude of 564 meters, and plane B would be at an altitude of 240 meters.

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Answer:

b.

Step-by-step explanation:

The correct function of the graph is,

⇒( f(x) = (x-a)²(x-b)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, Clearly from the graph of the function we could see that zero is not a root of the polynomial function

Hence, option (a) and (c) are discarded.

Now, we will check for option (b) and option (d)

As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.

Hence, the correct option is:

⇒ f(x) = (x-a)²(x-b)⁴

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Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.

A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.

a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.

The left boundary of the confidence interval is:

65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)

b) The right boundary of the confidence interval is:

65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)

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Answer:

1 Bagilion

Step-by-step explanation:

hope ths herps papa

Answer:

1 Bagilion

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

f(x) = 2x-5

Let x = 4

f(4) = 2*4 - 5

Multiply

f(4) = 8 -5

Subtract

f(4) = 3

Answer:8+10X5=58 or 3+5x11=58

Step-by-step explanation: hope it help