Tim bought some cans of paint and 3/4 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 3/8 of a liter of additive in each can. How many cans of paint did Tim buy?

Answer:

$459

Step-by-step explanation:

60x3=180

$299+180=$459

Using the line of best fit, the correct statement that describes this result is given by:

D. The result is an outlier and there is no gap in the data.

The statements are missing, and are given as follows:

A. The result is not an outlier and there is a gap in the data.

B. The result is not an outlier and there is no gap in the data.

C. The result is an outlier and there is a gap in the data.

D. The result is an outlier and there is no gap in the data.

The line of best fit gives the expected exam score for a student that studies x hours. For example, for a student that studies 16 hours, the expected score is of 90.

The actual score is 61.4%, which is significantly less than the expected score, meaning that there is an outlier. However, there are no gaps in the data-set, as as the line considers students between 0 and 20 hours, and 16 is in this interval.

This means that option D is correct.

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The result of simplifying each number (-343)¹/₃  using the properties of exponents is -7

To solve this exercise we have to resolve algebraic operations following the exponent properties.

(-343)¹/₃

Base= - 343

Exponent= 1/3

The base number -343 is the same as: -7³, then we get:

(-7³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

(-7)⁽³*¹/₃⁾

(-7)⁽³/₃⁾

(-7)⁽¹⁾

-7

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Answer:

well, best i can do for you : F

Step-by-step explanation:

Calculator soup

I forgot how to do this stuff, sorry

Answer:

Actual cost = 35.89 + 43.65 = 79.54  so it is some what lower than estimated cost.

Step-by-step explanation:

Each logarithm as the quotient of two common logarithms is :

[tex]\frac{log\\ 3.3}{log \\9}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression is,

[tex]log_9{3.3}[/tex]

as, [tex]log_bm= \frac{log_cm}{log_cb}[/tex]

therefore ,

[tex]log_9{3.3}[/tex] =  [tex]\frac{log \ 3.3}{log \ 9}[/tex]

Hence,  logarithm as the quotient of two common logarithms is :

[tex]\frac{log\\ 3.3}{log \\9}[/tex]

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Answer:

6(a+b)^2 + 4ab^2

Step-by-step explanation:

sum is addition (a+b)

product is multiplication (ab)

6(a+b)^2 + 4ab^2

Answer:

[tex]\frac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

cos(-315)° = cos 315°

cos 315° = cos 45°

This is equal to

[tex]\frac{1}{\sqrt{2}}[/tex]

Using linear functions, it is found that:

a. The equations are given by: H(x) = 30 + 0.79x, R(x) = 75 + 0.55x.

b. The costs will be the same after 187.5 miles.

c. The estimate from the graph is reasonable, as it is the value of x for which both equations are equal.

A linear function is defined according to the following rule:

y = mx + b

In which:

For each function in the context of this problem, we have that:

Hence the equations for each company are given as follows:

The graph is given at the end of the answer, and from the intersection point, we have that the costs will be the same after 187.5 miles.

Numerically, this value is given as follows:

H(x) = R(x)

30 + 0.79x = 75 + 0.55x

0.24x = 45

x = 45/0.24

x = 187.5.

Hence the estimate from the graph is reasonable.

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Answer: D

Step-by-step explanation:

The sequence given by the terms 125,25,5 is a geometric sequence with common ratio 1/5.

In a geometric sequence, each term following the first is found by multiplying the preceding one by a constant, non-zero quantity known as the common ratio.

The nth term of a geometric series with first term a and common ratio r is given by [tex]a_n=ar^{n-1}[/tex] .

In the given sequence, the first term denoted by a is 125. The second term is 25 and the third term is 5.

Ratio of the second term to first term = 25/125 = 1/5

And the ratio of third term to second term is = 5/25 =1/5

Hence since the ratios are equal therefore the sequence is geometric, and the common ratio is 1/5 .

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The scientific notation has 3 significant digits.

A significant number is the the numbers that are in in the coefficient of an expression in scientific notation, 5, 9 and 8 are the significant numbers.

Scientific notation is used in expressing large numbers in smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example, the number : 1 x 10² is equivalent to 100

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Answer:

6,192

Step-by-step explanation:

The quotient of 1.843 × 10^7 and 4.85 × 10^4, expressed in scientific notation, is 3.8 × 10^2.

Scientific notation is a way of expressing a very large or a very small number that are too much to be written in decimal form. The scientific notation is represented as:

a × 10^b

where a is between 1 and 10 and b is an integer representing the number of zeros

To divide numbers in scientific notation,

1. Divide the decimal numbers.

1.843 ÷ 4.85 = 0.38

2. Subtract the exponents of your power of 10.

7 - 4 = 3

3. Place the new power of 10 with the decimal in scientific notation form.

0.38 × 10^3 = 3.8 × 10^2

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On the map, the separation between the two towns would be 5 cm.

Detailed explanation:

First, consider 2 cm and 30 miles as a ratio, which means that wherever you measure 2 cm with a ruler on a map, 30 miles will be scaled to that location.

Then, using some logic, we can state that if 2 cm = 30 mi, then 4 cm = 60 mi (double the 2 cm will result in doubling the 30 cm), and 1 cm = 15 mi (if you divide the 2cm by 2, 30mi will also be divided by 2). Because of this, 5cm (4cm + 4cm + 1cm) on the map equals 75mi (which is 30mi + 30mi + 15mi).

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 7.8295.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: log₇3x = 3

We are given a logarithmic expression: log₇3x = 3        —- 1

We know that log₇3 = log 3 / log 7 and log (ab) = log a + log b

Using in equation 1, we have,

log₇3x = 3

log 3x / log 7 = 3

(log 3 + log x) / log 7 = 3

log 3 + log x = 3 × log 7

log 3 + log x = 2.535

log x = 2.535 - 0.4771

log x = 2.0579

x = 7.8295

Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 7.8295.

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Answer:

slope 1/3

y = -2

x=1/3-2

Step-by-step explanation:

slope 1/3

y = -2

x=1/3-2

The mean of the combined group of classes is 69.35

Mean is given by by dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).

It is given that,

The mean of test scores of a class having 35 students = 73.1

And,

The mean of test scores of a class having 26 students = 65.6

We need to find,

The mean of the combined group of classes = mean of both classes

Mean of both classes = [tex]\frac{73.1 + 65.6}{2}[/tex]

= [tex]\frac{138.7}{2}[/tex]

= 69.35

Hence, 69.35 is the mean of the combined group of classes

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Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

Every Rational number is not a whole number because A whole number is a component set of zero and all positive numbers such as 0, 1, 2, 3, 10, 15,… include only positive integers. It excludes negative integer, decimal, and fractional values .

Rational Number includes all the fractions, integers as well as decimal numbers.

Here set of whole number like 3, 4, 5 we can write this number as a fraction of 1 like 3/1, 4/1, 5/1… in ratio of two integers. Therefore every whole number is a rational number but every rational number is not a whole number.

Whole numbers are that starts from 0 to infinity. Whole numbers can be written in the form of 0/1, 1/1, 2/1, … Thus, every whole number is a rational number but every rational number is not a whole number.

Answer:

i don't know what the question is but the total amount of comunity service she must do is 32 hours

Step-by-step explanation:

2 x 8 = 16 16 x 2 or 16 + 16 = 32 thus she must complete 32 hours of comunity service and she has already completed 16 hours of comunity service so she has 16 hours left to complete.

hope this helped = )

The two strands of Decorative light will shine at same time after every 15 seconds.

The stated condition are-

The light strand one change color every 30 seconds.

The light strand second change color every 45 seconds.

Prime factorization of both number are;

30 = 2×3×5

45 = 3×3×5

The numbers with highest power are;

HCF(30, 45) = 3×5 = 15.

Thus, the time after which both the light strands will change colour at the same time is 15 seconds.

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Answer:

think its 175%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100  =175%

Simplify by expressing 32 as a product of its prime factors. Write it in index form and apply the power rule: (a^m)^n = a^mn

32 =2x2x2x2x2 = 2^5

(-2^5)^6/5 = -2 ^ 5x6/5 = -2^6

= -64

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The result of simplifying each number (-32)⁶/₅  using the exponent rules is 64  

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-32)⁶/₅  

Base= -32

Exponent = 6/5

The base number -32 is the same as: -2⁵, then we get:

(-2⁵)⁶/₅  

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

(-2)⁵*⁶/₅  

(-2)⁶

64

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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The percent of change when 40 is increased to 83 to the nearest tenth is: C. 107.5% increase.

In Mathematics, there are two main types of percentage and these include the following:

Mathematically, percentage increase can be calculated by using this formula:

Percentage increase = [Final value - Initial value]/Initial value × 100

Substituting the given parameters into the formula, we have;

Percentage increase = [83 - 40]/40 × 100

Percentage increase = 43/40 × 100

Percentage increase = 1.075 × 100

Percentage increase = 107.5%.

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Answer: positive

Step-by-step explanation: That's just how it works. It's an algerbra rule. Hope that helped. Have a nice day.

Rule 1: The product of a negative integer and a positive integer is a negative integer. Rule 2: The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.

The sum of the measures of all the angles in all of the triangles shown in the given diagram is 3,600°.

We need to find the sum of the measures of all the angles in all of the triangles shown in this diagram.

A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices.

The sum of all the angles of the triangle is equal to 180°.

From the figure, by counting, we get there are 20 triangles.

As we know, the sum of all the interior angles of a triangle is 180°.

So, the sum of the measures of all the angles in all of the triangles = The number of triangles × 180°

= 20 × 180°

= 3,600°

Therefore, the sum of the measures of all the angles in all of the triangles shown in the given diagram is 3,600°.

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The property illustrated by the statement where the equation is given as (7a * 2b) + 3c = 3c + (7a * 2b) is the Commutative Property of Addition

The equation is given as

(7a * 2b) + 3c = 3c + (7a * 2b)

The Commutative Property of Addition states that

a + b = b + a

In this case

a = (7a * 2b) and b = 3c

When the Commutative Property of Addition is applied using the above variables, we have

(7a * 2b) + 3c = 3c + (7a * 2b)

Hence, the property illustrated by the statement where the equation is given as (7a * 2b) + 3c = 3c + (7a * 2b) is the Commutative Property of Addition

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