A child takes a nap averaging three hours and gets an average of 12 hours of sleep at night. Nap time and night time sleep can each vary by 30 mins. What are the possible time lengths for the child's nap and night time sleep? ...?

To increase 72 by 130 percent, convert the percentage to a decimal (1.3), multiply 72 by this number to get 93.6, and then add it back to the original number to get the result of 165.6.

To calculate the result of increasing 72 by 130 percent, you multiply 72 by 130% (which is the same as 1.3 in decimal form) and then add it to the original number.

Calculation steps:

Convert the percentage increase to decimal form: 130% = 1.3.

Multiply the original number by this decimal: 72 × 1.3 = 93.6.

Add this value to the original number: 72 + 93.6 = 165.6.

Therefore, when you increase 72 by 130 percent, you get 165.6.

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Answer:

12ab

Step-by-step explanation:

i got a 100%

To find two positive real numbers whose product is a maximum, we need to use a mathematical technique called optimization. By solving the given equation and substituting the values back, we can find the two positive real numbers with a maximum product.

To find two positive real numbers whose product is a maximum, we need to use a mathematical technique called optimization. Let's define the two numbers as x and y.

Since the sum of the first number and three times the second number is 30, we can write the equation:

x + 3y = 30

To find the maximum product, we need to express the product of x and y in terms of a single variable. We can do this by substituting x = 30 - 3y into the product equation xy = (30 - 3y)y.

Now, we have a quadratic equation: y^2 - 10y + 15. Finding the maximum product corresponds to finding the vertex of this quadratic equation, which occurs when y = 5.

Substituting y = 5 back into the equation x + 3y = 30, we can solve for x: x + 3(5) = 30, x + 15 = 30, x = 15. Therefore, the two positive real numbers with a maximum product are x = 15 and y = 5.

The relationship is as you join more parallelograms together, the base length increases, and thus, the perimeter of the figure formed by these parallelograms also increases.

The perimeter of each individual parallelogram can be calculated using the formula for the perimeter of a parallelogram:

P = 2(base + side)

P = 2(5 + 4) = 2(9)

= 18 units

The second parallelogram has a base of 10 units and a side length of 4 units. The perimeter of the second parallelogram is:

P = 2(10 + 4) = 2(14)

= 28 units

The perimeter of the third parallelogram is:

= P = 2(15 + 4) = 2(19)

= 38 units

The relationship is such that the perimeter is directly proportional to the number of parallelograms joined together, with each additional parallelogram adding 10 units to the base length and subsequently increasing the perimeter by 20 units.

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After k payments, the amount A still owed is

Answer:

[tex]\frac{C}{2\pi }=r[/tex]

Step-by-step explanation:

[tex]C=2\pi r[/tex]

WE need to solve for 'r'. Our aim is to get 'r' alone

2πr mean 2 times pi times r

To remove 2π we do opposite operation

Opposite operation of multiplication is division.

To remove 2π , divide both sides by 2π

[tex]\frac{C}{2\pi }=\frac{2\pi r}{2\pi}[/tex]

Now simplify it

[tex]\frac{C}{2\pi }=r[/tex]

Answer:

13 cars

Step-by-step explanation:

There are 5 fewer trucks than cars in the parking lot. There are 8 trucks in total.

5 less trucks than cars. we need to find number of cars in the parking lot.

Cars are more than trucks. To find the number of cars, we add 5 with the total trucks .

8 trucks + 5 = 13

So there are total of 13 cars .

Answer:

$6000

Step-by-step explanation:

Let recall

Given the formula I = P*r*t  or principal x rate x time

Where I=Interest earned

P=principal, the amount deposited or borrowed

R=the annual interest rate

T=Time frame

Therefore $1200 = Px0.04x5

P = 1200/(0.2)

P = 12000/2 = $6000

The amount of the initial investment id $6000

The correct answer is D. ƒ(x)=-√(x+b)-a. This function satisfies the range and domain conditions stated in the question.

The correct answer is D. ƒ(x)=-√(x+b)-a.

A function with a range of (-∞, a] means that the output values of the function are less than or equal to a. In option D, the function is defined as ƒ(x)=-√(x+b)-a, where a < 0 and b < 0. When we substitute negative values for x in this function, the output values will be less than or equal to a, satisfying the range condition. Similarly, when x tends to positive infinity, b becomes negligible, and the function approaches -∞. This satisfies the domain condition [b, ∞).

Therefore, option D is a possible example of a function with the given range and domain conditions.

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Answer:

the answer is 46 inches

Step-by-step explanation:

i got this question wrong when i put 140 then it told me the answer so i had to redo the question this is the write answer listen to me and get it right the first time :)

Answer:

$1486.41.

Step-by-step explanation:

Purchase price = $309,900

Down payment percent = 20 %

Remaining amount Percentage  = 100-20 = 80%

Mortgage amount = [tex]309900 \times 0.80[/tex]

                              =[tex]247920[/tex]

Formula of monthly payment : [tex]P =\frac{\frac{rM}{1 -(1 +\frac{r}{n})^-{nt}}}{n}[/tex]

where P = the payment,

r = the annual rate =6% = 0.06

M = the mortgage amount = $247920

t = the number of years=30

n = the number of payments per year= 12

Substitute the values.

[tex]P =\frac{\frac{0.06 \times 247920}{1 -(1 +\frac{0.06}{12})^-{12\times 30}}}{12}[/tex]

[tex]P=1486.40566196[/tex]

Hence the monthly payment is $1486.41.

Thus Option C is correct.

Answer:

C

Step-by-step explanation:

Edge 2020 says i was right for the quiz

The simplification of the expression -196 is -14 because the square root of 196 is 14 and the initial expression has a negative sign, option b) is the correct answer.

The question is asking us to simplify the expression -196. When it says 'simplify', and it's giving us a numerical value, it's most likely referring to finding the square root of a number, since the square root is a number that, when multiplied by itself, gives the original number. In this case, we are looking for the square root of 196, but we must keep in mind the negative sign, which indicates that we are dealing with negative square roots.

Normally, the square root of 196 is 14. However, because there is a negative sign (-) in front of the 196 in this problem, we are actually looking for the negative square root. Therefore, the 'simplified' version of -196 in this case would be -14, which is option (b).

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To convince me that they're not guessing on a true-false test, a student needs to get significantly more than half of the questions right.

A true-false test consists of 50 questions. To convince me that he is not merely guessing, a student would need to get significantly more than half of the questions right. If the student gets exactly half of the questions right, that would be the result we would expect from guessing. However, if the student consistently gets more than half of the questions right, it would indicate that they have some knowledge or understanding of the material.

Let's say a student gets 30 out of 50 questions correct. This would be 60% of the questions, which is higher than 50%, indicating that the student is not merely guessing.

The Gordons' eligibility for Chapter 7 bankruptcy cannot be definitively determined without detailed calculations. While their income is above West Virginia's median income, their high monthly expenses might allow them to pass the bankruptcy means test.

To determine whether the Gordons qualify for Chapter 7 bankruptcy, we must consider their income, monthly expenses, and the median annual income for their state. As their income is $49,000 a year, they exceed the median annual income of West Virginia, which is $37,989. Their $3,900 monthly expenses total to $46,800 annually.

Under Chapter 7 bankruptcy, a means test is applied to identify whether the Gordons' income is low enough for eligibility. This test compares the family’s monthly income to the median income of a family the same size. However, it is important to note that not all income is counted in this means test and some deductions are given for various necessary expenses.

In this scenario, the Gordons' income is above the median income for West Virginia. However, their high monthly expenses might still allow them to pass the means test. You would need to calculate whether their income, minus allowable expenses, is still above the median. Without these detailed calculations, it's impossible to definitively say whether the Gordons qualify for Chapter 7 bankruptcy.

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Answer:

64000

Step-by-step explanation:

so, you have to double it every three months, so you are doubling is 8 times total. so, when you double 250 the first time you get 500 so then you double that, and you get 1000 the you double that to get 2000 then  you double that to get 4000 then you double that again and get 8000 then you double that again  to get 16000 then again to get 32000 and the one more time  to get your answer 64000

Gerry needs to pay $150 for 6 choco-lava cakes which cost $25 each.

The subject here is Mathematics, particularly dealing with proportionality. If Gerry sees that 2 choco-lava cakes cost $50, we can say that the price of each choco-lava cake is $50 divided by 2, which is $25 per choco-lava cake. Then, if Gerry needs 6 choco-lava cakes, we take the price of one choco-lava cake ($25) and multiply it by how many cakes he needs, which is 6. So, 6 cakes at $25 per cake give us $150.

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To solve the equation 24+?=120 divided by 3, subtract 24 from 40 to find the missing number, which is 16.

To solve the equation 24+?=120 divided by 3, we need to find the value of the missing number. We can do this by using the inverse operation of division, which is multiplication. Since 120 divided by 3 is equal to 40, we can subtract 24 from 40 to find the missing number. Therefore, the missing number is 16.