When three times a number is subtracted from 20, the result is 4 plus the number. What is the number? equation. 20 - 3n= 4 +n (Type an integer or a decimal.) Next, solve the equation. Begin by isolating the constants on one side of the equation and the variables on the other. To move the variables to the right side of the equation, add 3n to both sides. 20-3n = 4+n​

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

10:9

Step-by-step explanation:

Convert 90 mm into cm which is 9cm so,

therefore it would be 10:9

Answer:

wonk

Step-by-step explanation:

The possible number of ways of selection by using combination formula is 3060.

What is combination?

A grouping of items where the order in which they were chosen is irrelevant is known as combination.

Given that the number of people in the group is 18. Only 4 people will be member of the council.

The formula of combination is \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\) , where r number of objects are selected from n objects.

In the given question the value of n is 18 and the value of r is 2.

Substitute the value of n and r in \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\).

\(^{18}C_{4}=\frac{18!}{4!(18-4)!}\)

Solve the above expression:

18^C_4 = 18x17x16x15x14/4x14

18^C_4 = 18x17x16x15/4x3x2x1

3060 18^C_4 = 3060

The number of ways such selection is 3060.

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Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation:

Answer:

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

Find each area and then find their difference.

The difference is:

Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

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Just take it in co-ordinate pairs

Take two points

Slope:-

\(\\ \sf\longmapsto m=\dfrac{40-60}{41-58}\)

\(\\ \sf\longmapsto m=\dfrac{-20}{-17}\)

\(\\ \sf\longmapsto m=\dfrac{20}{17}\)

\(\\ \sf\longmapsto m\approx 1.2\)

Equation of line in point slope form

\(\\ \sf\longmapsto y-y_1=m(x-x_1)\)

\(\\ \sf\longmapsto y-60=1.2(x-58)\)

\(\\ \sf\longmapsto y-60=1.2x-69.6\)

\(\\ \sf\longmapsto 1.2x-y-9.6=0\)

\(\\ \sf\longmapsto y=1.2x-9.6\)

Graph attached

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

(DOWN BELOW)

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.  

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

(ii) Arm span of 74 in tall person

The values in the missing observation are:

X1    X2

76 22  

82 25

91 32

101    41

88 28

An expression contains terms with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x1 x2

76 22  

82 __

91 32

__    41

88 28

The difference between each row are:

76 - 22 = 54

82 - 25 = 57

91 - 32 = 59

101 - 41 = 60

88 - 28 = 60

We see that,

57 - 54 = 3

59 - 57 = 2

60 - 59 = 1

60 - 60 = 0

So,

The difference between the numbers is consecutive as 3, 2, 1, 0.

Thus,

The missing values of X1 and X2 are 101 and 25.

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Answer:

x= 10 y=14 : 10 3 point, 14 5 point

Step-by-step explanation:

Write your equation down vertically,

3x + 5y = 100

 x + y   =  24

Next find multiply bottom equation by one number from the tops opposite,

3x + 5y = 100

(-3)x +(-3)y = (-3)24

3x + 5y = 100

-3x - 3y= -72

Add the two functions to isolate y

2y= 28 y=14

Plug y back into original and solve

3x +5(14) =100 --> 3x + 70 =100 --> 3x = 30 x=10

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

a.126.023125

b.7.413135

Step-by-step explanation:

a. ((59.99)+(4*5.49)+(3*3.89)+(24.99))*1.0625(sales tax)

118.61*1.0625

126.023125 final price

b. final price-price before tax.

126.023125-118.61

7.413135

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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The inverse of the statement consist in the negation fo the two parts of the statement, then:

We can rewrite the stament as: If an angle is obtuse, then it is not a right angle.

The first part of the statement says "if an angle is obtuse", then the negation is "if an angle is not obtuse".

The other parts says "then it is not a right angle", the negation is "then it is a right angle"

Then, the inverse of the statement says: If an angle is not obtuse, then it is a right angle.

By definition, an obtuse angle is an angle that measures more than 90° but less than 180°. And a right angle is an angle that measures exactly 90°. But there's also acute angles, which measures less than 90°, and other classifications for angles.

Thus, if an angle is not obtuse, it can be a right angle but also can be an acute angle, or even a straight angle or reflex angle.

In conclusion, the statement: If an angle is not obtuse, then it is a right angle, is FALSE.

The estimated coefficient for Fitness Center in a regression analysis represents the expected change in the dependent variable associated with a unit increase in the independent variable.

It tells us how much having a Fitness Center affects the rent price. To determine how much the rent price for a 1-bedroom apartment would be if the complex has a Fitness Center, Parking Space, and Wireless Internet, we would need to know the specific coefficients for each of these independent variables in the regression analysis, as well as the constant term. We could then plug in the values for each variable and calculate the predicted rent price. It is important to note that the estimated coefficient for Fitness Center does not necessarily imply causation. Other factors could be influencing both the presence of a Fitness Center and the rent price, and a regression analysis only captures the relationship between the variables that are included in the model. Additionally, the size and direction of the coefficient can vary depending on the data and methodology used in the analysis.

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Hey there! :)

Answer:

p(x) = 6x - 15

Step-by-step explanation:

If p(x) = r(x) - c(x), subtract the two equations. Therefore:

p(x) = 10x - (4x + 15)

p(x) = 10x - 4x - 15

Combine like terms and simplify:

p(x) = 6x - 15

Answer:

6x-15

Step-by-step explanation:

P(x) = r(x) - c(x)

      = 10x - (4x+15)

 Distribute the minus sign

    = 10x-4x -15

 Combine like terms

    = 6x-15

Answer: x=7 y=-8

Step-by-step explanation:

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

Answer:

38.7

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

2x + 20 = 3x

2x - 2x + 20 = 3x - 2x

20 = x

2x + 20 = ?

2(20) + 20 = ?

40 + 20 = ?

60 = ?

3x = ?

3(20) = ?

60 = ?

Answer:

Option D

Step-by-step explanation:

Slope intercept is:

\(y=mx+b\)

m - slope

b - y-intercept.

The slope in the question is -12. The y-intercept is 1/2.

Plug in the values:

\(y=mx+b\rightarrow \boxed{y=-12x+\frac{1}{2}}\)

Hope this helps.

Answer:

Slope-intercept form:

\(y = -12x + \frac{1}{2}\)

Step-by-step explanation:

-Since you already have the slope and the y-intercept, all you need is to apply them to a slope-intercept form:

Slope: \(-12\)

y-intercept: \(\frac{1}{2}\)

-Slope-intercept equation:

\(y = mx + b\)

(where \(m\) represents the slope and \(b\) represents the y-intercept)

-Applying to slope-intercept form:

\(y = -12x + \frac{1}{2}\)

And were done.

Answer:

l*b*h is the answer of this question

Answer:

3.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Answer:

D

Step-by-step explanation:

To find the slope of the curve defined by the implicit equations x = f(t) and y = g(t) at a given value of t, we need to differentiate both equations with respect to t and then evaluate the derivative at the given value of t.

Given the implicit equations x = t + t₁y + 2t² and x = 2x + t²₁, we differentiate both equations with respect to t using the chain rule.

For the first equation, we have:

1 = f'(t) + t₁g'(t) + 4t

For the second equation, we have:

1 = 2f'(t) + t²₁

Now, we can solve this system of equations to find the values of f'(t) and g'(t). Subtracting the second equation from the first equation, we get:

0 = -f'(t) + t₁g'(t) + 4t - t²₁

Rearranging the terms, we have:

f'(t) = t₁g'(t) + 4t - t²₁

This gives us the slope of the curve x = f(t), y = g(t) at the given value of t. By evaluating this expression at the given value of t, we can find the specific slope of the curve at that point.

In summary, the slope of the curve x = f(t), y = g(t) at the given value of t is given by f'(t) = t₁g'(t) + 4t - t²₁, which can be obtained by differentiating the implicit equations with respect to t and solving for the derivative.

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Answer:

Surface area of the composite figure = 508cm²

Step-by-step explanation:

Composite figures :- A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons. These shapes include squares, rectangles, triangles, circles.

Surface area of cuboid = 2(LB + LH + BH)

There are 2 cuboids in the question therefore solving them separately,

L = 12cm

B =  2cm

H = 10cm

putting these values in the above formula,

SA of bigger cuboid = 2(12×2 + 12×10 + 2×10)

                  SA           = 328cm²

L = 8cm

B =3cm

H = 6cm

SA = 2(8×3 + 8×6 + 3×6)

SA = 2×90

SA = 180cm²

now surface area of whole figure,

SA of bigger cuboid + SA of smaller cuboid

     328cm²   +    180cm²

       508cm² answer

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The equation to represent the function is L(x) = 360 - 15w

Remember that an equation is a mathematical statement that shows that two mathematical expressions are equal, denoted by the equal to sign =

The given parameters that will help to solve the problem are given as follows

Amount = $360

Rate = $15 per week

The problem is to determine the function to represent the scenario

The amount (L) owed in w weeks is represented as:

Amount owed = Amount -  Rate* weeks

We used negative because the amount reduces weekly.

So, we have:

L(w) = 360 - 15*w

L(x) = 360 - 15*w

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The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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