Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.

Base 72; percentage 12

Percentage 28; base 224

Base 20; percentage 40

Base 44; percentage 99

Percentage 126; base 8400

The difference of the given fraction is expressed as \(\frac{x^2+4x-1}{x(x+2)}\)

Given the expression:

Take the LCM of the fraction to have:

\(=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}\)

Hence the difference of the given fraction is expressed as \(\frac{x^2+4x-1}{x(x+2)}\)

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Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Answer:

50 grams

Step-by-step explanation:

Let t = maximum daily sugar value

From the question, we know that : 92% of the daily value is 46 grams

this equation can be formed

0.92 x t = 46 grams

to find t, divide both sides of the equation by 0.92

t =46/0.92= 50 grams

Answer:

$80 original price

Step-by-step explanation:

If 45% of an item is $36 what is the original price?

40% = 0.4

36/0.4 = $80 original price

Answer:

$80

Step-by-step explanation:

45/100=36/x

Cross multiply

45x=100(36)

45x=3600

/45.   /45

x=80

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Would produce market a quantity of 2 and make a profit of $1.

The graph shows the market supply and demand curves for a perfectly competitive firm. If the market price is $3, the firm would be operating at the intersection of the demand curve (D) and the marginal cost curve (MC). At that price, the firm would produce a quantity of 2 and incur a total cost of $2 (the area of the rectangle formed by the marginal cost and quantity). Since the market price is higher than the marginal cost, the firm would make a profit of $1 (the area of the triangle formed by the market price and quantity).

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Answer:

Step-by-step explanation:

The statement "z = 3.14, p < 0.05" suggests that a z-test was performed and the resulting z-value is 3.14, with a corresponding p-value less than 0.05.

Based on this information, the interpretation that is TRUE is:

b. There is a significant difference between the sample value and the population.

A p-value less than 0.05 indicates that the probability of obtaining a z-value as extreme or more extreme than 3.14 under the null hypothesis is less than 5%. This suggests strong evidence against the null hypothesis, which typically assumes no difference between the sample value and the population. Therefore, we can conclude that there is a significant difference between the sample value and the population.

By applying subtraction property in RHS of the expression, we make it true.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 8 × 11 = (8 × 10) + (1 × 10)

Now, Take LHS of the expression,

⇒ 8 × 11

⇒ 88

And, By RHS;

⇒  (8 × 10) + (1 × 10)

⇒  (80) + (10)

⇒ 90

Subtract 2;

⇒ 90 - 2

⇒ 88

Thus, By subtracting 2 from RHS of the expression, we make it true.

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Answer:

22°

Step-by-step explanation:

this is a right angle. right angles = 90°. you can now subtract 90-68 to give you 22.

Answer:

Step-by-step explanation:

Volume of Sphere =4/3л\(r^{3}\) = (4/3)*3.14*48*48*48 = 463011 \(mm^{3}\) =46300

The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

Given that the length, width, and height of the rectangular prism are,

The volume of the rectangular prism will be calculated as,

Volume = Length x width x Height

Volume = (4x - 3)(x + 1)( x+2) cubic feet

Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.

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Answer:

$3.27

Step-by-step explanation:

Answer:

length 70 and width 35

Step-by-step explanation:

The dimensions (length and width) of Randy's living room are,

10 by 15 feet.

Quadrilaterals with parallel sides that are equal to one another and four equal vertices are known as rectangles.

The given diagram is the floor plan of Randy's apartment.

All measurements are in feet.

From the diagram:

The dimensions (length and width) of Randy's living room are,

10 by 15 feet.

Therefore, the dimensions are 10 by 15 feet.

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Solution:

Given, x=-3, y=6, and z=4

Putting these values in the given equation:

-15+(-x)+y

= -15+(-(-3)+6

= -15+3+6

= -15+9

= -6

Answer:

8.2 cm

Step-by-step explanation:

\( \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm\)

Answer:

49

Step-by-step explanation:

A= a^2 = 7^2 =49

Answer:  5(13.5-4.5)

5(9)

=45

answer your phone

n-15

stepson

n represents a number minus 15

Answer:

c. 3x + 2( 3 x plus 2 )

d. 6x − 3x+ 1 −1(6 x minus 3 x plus 1 minus 1)

Step-by-step explanation:

We are given the expression:

6x+1−1(3x−1) .

Solving this expression:

6x + 1 - 3x +1

Collect like terms

6x - 3x +1 +1

3x + 2

Hence, the expression that are equivalent to 3x + 2 are:

c. 3x+2( 3 x plus 2 )

d. 6x−3x+1−1(6 x minus 3 x plus 1 minus 1)

Answer:

1.70507 x 10^5

Step-by-step explanation:

First, we multiply 1.67 x 1021:

1.67 x 1021 = 1705.07.

So, 1705.07 is for one drop of water. We need to find 100 drops of water. To do this, we can set up this equation:

1705.07 x 100 = 170,507

Now, we have to convert this number into scientific notation. How do we do this? The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number:

1.70507 x 10^5 is our answer.

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Answer:

$2.3

Step-by-step explanation:

Let the price of the orange juice be x

We know he bought 2 bottles of orange juice = 2x

He also bought an apple juice which is 0.35$ less than orange juice, so the price of the apple juice would be = (x-0.35)

The sum of these two purchases = $6.55

2x + (x-0.35) = 6.55

2x + x - 0.35 = 6.55

3x = 6.55 + 0.35

3x = 6.9

x = 6.9/3

x = 2.3

So the bottle of orange juice costs $2.3

answered by g a u t h m a t h

Larger sample sizes provide more accurate estimates of the population mean, even if the population is not normally distributed.

For a population that is not normally distributed, the distribution of the sample means will approach a normal distribution as the size of the sample increases.

This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means becomes more normal regardless of the shape of the population distribution.

Therefore, larger sample sizes provide more accurate estimates of the population mean, even if the population is not normally distributed.

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Answer:

6/4 or 1.5

Step-by-step explanation:

A statistical analysis is internally valid if option B is correct, meaning that the statistical inferences about causal effects are valid for the population studied. Internal validity refers to the accuracy of conclusions drawn from a study, specifically focusing on causal relationships within the population being analyzed.

Statistical analysis is a method of examining data to identify patterns and trends, which can help researchers make informed decisions. Regression is a technique used to determine the relationship between two or more variables, where one variable (the dependent variable) is affected by one or more other variables (independent variables).

The population refers to the entire group of individuals or objects being studied. In order to have internal validity, the statistical analysis must accurately represent the population's characteristics and the causal relationships between variables.

R² (option A) is a measure of how well the regression model fits the data but doesn't necessarily imply internal validity. Option C, t-statistics, is related to hypothesis testing and helps determine if a relationship between variables is statistically significant. However, having all t-statistics greater than |1.96| doesn't guarantee internal validity.

Lastly, option D states that the population is small (less than 2,000) and can be observed. While having a smaller population might make it easier to gather data, this does not guarantee internal validity.

In summary, internal validity is achieved when the statistical inferences about causal effects are valid for the population studied (option B). It ensures that the conclusions drawn from a study are accurate and represent the true relationships within the population.

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Answer:

The answer would be 22.8 it would have to  be rounded down so 412 could make 22 pint sized servings.

Step-by-step explanation:

Answer:

C. -3a^2 + 3b^2 - 2ab + 7a + b

Step-by-step explanation:

Let's combine like terms.

-3a(a + b - 5) + 4(-2a + 2b) + b(a + 3b - 7) distribute

-3a^2 - 3ab + 15a - 8a + 8b + ba + 3b^2 - 7b combine

-3a^2 - 2ab + 7a + b + 3b^2

This is the same as answer C, the terms are just rewritten in a different order.

A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.

So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.

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The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,

Collecting data and analyzing results.
Random assignment:

To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:

In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.

This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:

The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.

After the two-week period, the researcher should collect the test scores of both groups and compare their performance.

This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.

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Explanation: To solve this question first we need to know that the terminal point pair (little red point in the image) represented by the coordinates represent the (cosine, sine) as shown bellow

We also need to understand that the "tan" formula can be expressed as follows

So all we need to do is to substitute and calculate.

Step 1: Let's substitute the values and calculate as follows

Step 2: Now let's rationalize the result as follows

Final answer: So the final answer is

.

Answer:

8yz+xy

like terms and then solve it

The simplified expression is xy + 8yz

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

3xy+5yz-2xy +3yz

Now,

=3xy - 2xy + 5yz+ 3yz

=xy + 8yz

Hence, the simplifies expression is xy + 8yz.

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Answer: 4.15

Step-by-step explanation: