Picture attached, thanks

Answer:

Step-by-step explanation:

four times the sum of a number and 9 is 16

4 *(x + 9) = 16

4x + 36 = 16

4x = 16 - 36

4x = -20

x = -5

---------------

4 * (-5 + 9) = 16

16 = 16

true

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

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The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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The sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.

In a triangle, the lengths of the two longest altitudes are equal to the lengths of the corresponding sides.

The sides in two different forms or polygons that are in the same position are said to have corresponding sides.

The two polygons have the same size and shape if they are congruent.

Congruence exists between the corresponding sides and angles.

So, the sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.

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The sum of the lengths of the two longest altitudes in the triangle with sides 8, 12, and 14 is 17 units.

The sum of the lengths of the two longest altitudes in a triangle can be found using the formula:

Sum of altitudes = (a + b + c) / 2

In this case, the sides of the triangle are given as 8, 12, and 14 units.

The longest altitude in a triangle is the altitude drawn from the longest side. So, we need to find the longest side in the given triangle.

To do that, we can arrange the sides in descending order: 14, 12, 8.

Now, we can use the formula to find the sum of the lengths of the two longest altitudes:

Sum of altitudes = (14 + 12 + 8) / 2 = 34 / 2 = 17 units

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In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.

Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.

There are two main types of variables:

1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.

2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.

The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.

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Recall that the x% of y can be computed using the following expression:

If the oil will have a 10% discount, then it will cost 90% of its original price.

Now, 90% of 13000 is:

Simplifying the above expression we get:

Answer: If the oil will have a 10% discount, then it will cost $11,700.

Answer:

Step-by-step explanation:

Answer:

2.94

Step-by-step explanation:

multiply them like normal multiplication

remember that 2 negatives equal positive

The derivative of y = 7(x^2 - 4x) - 5 with respect to x is dy/dx = 14x - 28.

To find the derivative of y with respect to x, we can apply the power rule and the constant multiple rule of differentiation. First, we differentiate each term of the expression separately. The derivative of 7(x^2 - 4x) is found by multiplying the coefficient (7) by the derivative of the quadratic expression (x^2 - 4x). The derivative of x^2 - 4x can be calculated using the power rule: d/dx (x^n) = nx^(n-1). Thus, the derivative of x^2 is 2x, and the derivative of -4x is -4.

Applying the constant multiple rule, we multiply the derivative of 7(x^2 - 4x) by the constant 7, resulting in 14x - 28. The constant term (-5) does not affect the derivative, as the derivative of a constant is always zero.

Therefore, the derivative of y = 7(x^2 - 4x) - 5 with respect to x is dy/dx = 14x - 28.

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Answer:

51.33 cm

Step-by-step explanation:

154cm / π = 51.33 cm

Answer:

pleasee reply me ...

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also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

Answer:

y+7

Step-by-step explanation:

Sum is referring to addition, and the 2 parts would be y and 7, so the answer is y+7

Answer:

STEP

1

:

Equation at the end of step 1

 ((15 • (y3)) +  (2•3y2)) -  21y

STEP

2

:

Equation at the end of step

2

:

 ((3•5y3) +  (2•3y2)) -  21y

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  15y3 + 6y2 - 21y  =   3y • (5y2 + 2y - 7)

Trying to factor by splitting the middle term

4.2     Factoring  5y2 + 2y - 7

The first term is,  5y2  its coefficient is  5 .

The middle term is,  +2y  its coefficient is  2 .

The last term, "the constant", is  -7

Step-1 : Multiply the coefficient of the first term by the constant   5 • -7 = -35

Step-2 : Find two factors of  -35  whose sum equals the coefficient of the middle term, which is   2 .

     -35    +    1    =    -34

     -7    +    5    =    -2

     -5    +    7    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  7

                    5y2 - 5y + 7y - 7

Step-4 : Add up the first 2 terms, pulling out like factors :

                   5y • (y-1)

             Add up the last 2 terms, pulling out common factors :

                   7 • (y-1)

Step-5 : Add up the four terms of step 4 :

                   (5y+7)  •  (y-1)

            Which is the desired factorization

Final result :

 3y • (y - 1) • (5y + 7)

Step-by-step explanation:

The simplified equation is y = 10,312.50 + 0.25x - 18,672.50

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

(a) The $10,312.50 represents the fixed amount of income tax owed for the range of incomes between $74,900 and $151,200.

(b) The 0.25(x - 74,900) represents the additional amount of income tax owed based on a tax rate of 0.25 (25%) of the income above $74,900. The x-74,900 term represents the amount of income that is above $74,900, and multiplying by 0.25 calculates the additional tax owed for this portion of the income.

(c) To simplify the equation:

y = 10,312.50 + 0.25(x - 74,900)

y = 10,312.50 + 0.25x - 74,900 * 0.25

y = 10,312.50 + 0.25x - 18,672.50

Hence, the simplified equation is y = 10,312.50 + 0.25x - 18,672.50

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Answer:

I think the answer is B

Answer: $135

Step-by-step explanation:

    We know that:

         Selling price = \((100 - \text{Loss}\%)(\frac{\text{Cost Price}}{100})\)

    Using the given cost price and loss%, we can solve.

         Selling Price = \((100 - \text{Loss}\%)(\frac{\text{Cost Price}}{100})\)

         Selling Price = (100 - 10)(\(\frac{\text{150}}{100}\))

         Selling Price = (90) * (1.5)

         Selling Price = $135

    This means the selling price of the dress is $135.

Answer:

area = 98.12 m²

Step-by-step explanation:

area = πr² = (3.14)(5.59²) = 98.12 m²

Answer:

x = - 90

Step-by-step explanation:

Given

10x + 60 = 9x - 30 ( subtract 9x from both sides )

x + 60 = - 30 ( subtract 60 from both sides )

x = - 90

Answer:

Step-by-step explanation:

Since the sequence is a geometric sequence

For an nth term in a geometric sequence

\(A(n) = a ({r})^{n - 1} \)

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 1/4

r = - 2

Since we are finding the third term

n = 3

So the third term of the sequence is

\(A(3) = \frac{1}{4} ({ - 2})^{3 - 1} \)

\(A(3) = \frac{1}{4}( { - 2})^{2} \)

\(A(3) = \frac{1}{4} \times 4\)

We have the final answer as

Hope this helps you

The complete table is

Whose card Length Width Perimeter Area

Sanya          10 cm 8cm               36cm         80 cm²

The perimeter of a shape is the distance around its edges. For a rectangle, like Sanya's greeting card, the perimeter can be found by adding up the lengths of all four sides. In this case, we have:

Perimeter = 2 × Length + 2 × Width

Perimeter = 2 × 10 cm + 2 × 8 cm

Perimeter = 20 cm + 16 cm

Perimeter = 36 cm

So, the perimeter of Sanya's greeting card is 36 centimeters. This means that if you were to walk all the way around the edges of the card, you would cover a distance of 36 centimeters.

The area of a shape is the amount of space it takes up. For a rectangle, the area can be found by multiplying its length by its width. In this case, we have:

Area = Length × Width

Area = 10 cm × 8 cm

Area = 80 cm²

So, the area of Sanya's greeting card is 80 square centimeters. This means that if you were to cover the card completely with paint or ink, you would need 80 square centimeters of paint or ink.

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Complete Question:

Sanya made greeting cards. Complete the table for their cards:

Whose card Length Width Perimeter Area

Sanya          10 cm 8cm              

Answer:

3MN to N =3000000

Step-by-step explanation:

Answer:

the converse would be q-->p

Step-by-step explanation:

If the original conditional statement is p → q, the converse would be q → p.

The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).

The converse of a conditional statement switches the hypothesis and the conclusion.

So, if the original conditional statement is p → q, the converse would be q → p.

Option (C) p → q represents the original conditional statement, not the converse.

Option (B) ~q → ~p represents the contrapositive of the conditional statement, which switches and negates both the hypothesis and conclusion.

Option (D) ~p → ~q represents the inverse of the conditional statement, which negates both the hypothesis and the conclusion, but does not switch them.

Therefore, the correct answer is (A) q → p.

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The correct question would be as:

If an original conditional statement is represented by p → q, which represents the converse? explain

A. q → p

B. ~q → ~p

C. p → q

D. ~p → ~q

Standard Deviation of given set of numbers is 0.71

The two key areas in statistics are variance and standard deviation. It is a metric for statistical data dispersion. The degree to which values in a distribution deviate from the distribution's average is known as dispersion.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation.

Standard Deviation Formula:

σ=\(\sqrt{\frac{sigma(xi-m)^2}{n} }\)

Given 6,4,5,5

m=\(\frac{6+4+5+5}{4}\)=5;

⇒σ=\(\sqrt{\frac{(6-5)^2+(4-5)^2+(5-5)^2+(5-5)^2}{4} }\)=0.707≅0.71

Standard Deviation of given set of numbers is 0.71

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a. No, w is not in fv1; v2; v3g. There are three vectors in fv1; v2; v3g.

b. There are three vectors in the span of fv1; v2; v3g.

c. No, w is not in the subspace spanned by fv1; v2; v3g. This is because the subspace is the set of all linear combinations of the vectors in the span, and w does not have to be a linear combination of the vectors in the span.

To prove this, we first need to recall the definition of the span: it is the set of all linear combinations of a set of vectors. A linear combination is a sum of the vectors, multiplied by constants. For example, if we have a vector v1, and two constants a and b, then the linear combination of a*v1 and b*v1 is (a + b)*v1. If a vector w is not a linear combination of v1, then w is not in the span of v1.

The same logic applies to the vectors fv1; v2; v3g. If w is not a linear combination of these three vectors, then w is not in the subspace spanned by these three vectors. We can prove this by showing that w cannot be a linear combination of fv1; v2; v3g. This is because the only way to create a linear combination of these vectors is to multiply them by constants, and since w is not one of the vectors, it cannot be multiplied by a constant. Therefore, w is not in the subspace spanned by fv1; v2; v3g.

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The inverse function of F(x) = 3x/5 + 3 is F'(x) = 3(x-5)/5. Thus, the correct option is B.

The inverse function is defined as the function which can reverse into another function and the inverse function is also called an anti-function. If function x gives y where the function of y gives x, called an inverse function.

From the given,

F(x) = 3x/5 + 3

      = 3x+15/5

     = 3(x+5)/5

Thus, the function F(x) = 3(x+5)/5

The inverse function of F(x) is F'(x) = 3 (x-5)/5.

Thus, the ideal solution is option B.

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Answer:

6x+15

Step-by-step explanation:

here your welcome

Answer:

Step-by-step explanation:

Direct variation equation:

Given:

The equation is:

Find the value of x when y = 168:

Possible causal reasons for the correlation between time spent playing video games and aggression are:

1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.

2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.

3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.

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The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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A researcher looking to estimate the percentage of teenagers in the US who support the legalization of recreational marijuana should employ descriptive statistics, specifically using a proportion or percentage to summarize the data collected from a representative sample of teenagers.

The researcher should employ inferential statistics to obtain the answer to her question. She could use survey sampling methods to collect data from a representative sample of teenagers in the US and use statistical analysis techniques such as hypothesis testing and confidence intervals to estimate the percentage of teenagers who support the legalization of recreational marijuana in the entire population of US teenagers.

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