Solve the system of linear equations by substitution.

y=4x
x+y=-10

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

Answer:

since the decay rate constant of0.0 250 min.

hence the time required for the sample to decay to one forth of it's initial value is

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:    1 and one fourths because 1/4 times 5 is 1 1/4

Step-by-step explanation:

Answer:

1 1/4 tablespoons

Step-by-step explanation:

1/4 x 5=1 1/4 tablespoons

Step 1:

Draw the figure

The diagonals of a rhombus bisect each other,

therefore

FJ = JH

this implies that

JH = 4.

Opposite angles of a rhombus are equal, so

The diagonals of a rhombus bisect the interior angles.

Therefore,

The diagonals of a rhombus are perpendicular

GH = 8 (b)

Also,

Using the Pythagorean rule,

FH = FJ + JH

this implies that

FH = 4 + 4 = 8

FH = 8

right choice B

The diagonals of a rhombus bisect the interior angles.

therefore

Sum of the interior angles of a rhombus is 360degrees.

And opposite interior angles of a polygon are congruent.

Therefore

Also,

Answer:

between 4 and 5, also 4<5

=>4<x<5

=>greater than 4 and less than 5

Answer:

I think its 6

Step-by-step explanation:

If 4 less than 5 then 6 is Greater than 3.

So 6 is the blank

Hope this helps

Answer:

I'm pretty sure the length is 16m.

Step-by-step explanation:

If the area is a total of 256^2 m, then finding the square root of that area would get you the side length of the playground. The square root of 256 is 16, therefore the sidelength of the playground is 16m :)

The correct option is B. James can eliminate $25 from Food/Clothes and $27 from Entertainment.

James has a balance of $1,230 on his credit card that has an APR of 24%. He currently pays the minimum monthly payment of $30. 75. If James wants to pay off his balance in 18 months, the monthly payment he would need to make is $94.55.

Solution:

We will use the following formula;

\(C - monthly payment = C × (r/12) / (1 - (1 + r/12)^(-n))\)

Where,

C = balance

   = $1,230

r = APR / 100

     = 24% / 100

       = 0.24

n = 18 months

    = \(C * (r/12) / (1 - (1 + r/12)^(-n))\)

      = \(1230 * (0.24/12) / (1 - (1 + 0.24/12)^(-18))\)

       = \(1230 * 0.02 / (1 - 0.4018)\)

         =\(24.6 / 0.5982\)

          = $41.11 (minimum monthly payment)

If he wants to pay off his balance in 18 months, he will need to pay $94.55 monthly.

Modified budget; Income Wages $3,015. 00

Expenses Rent $1250.00

Utilities $432.45

Food/Clothes, $345. 00 - $15 = $330.00

Entertainment $255. 00 - $22 = $233.00

Car $360. 00

Credit Card $94.55

Cell Phone $103. 89

Net Income $237. 91

The least modification with the least cuts to his current expenses that will allow James to pay off his balance in 18 months is he can eliminate $15 from Food/Clothes and $22 from Entertainment.

So, the correct option is B. James can eliminate $25 from Food/Clothes and $27 from Entertainment.

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Answer:x=8

Step-by-step explanation:because you have to get the x by itself so add 2 to both sides so that's 8=x and its already x you dont have to divide so the answer is    8=x

hope this helps :}

Step-by-step explanation:

If it is absolutle vaules than there will be two solutions

First you want to get the absolute vaule of x by its self

After that you want to set up a postive and negative equation

\(8 = |x| \)

\( - 8 = |x|\)

Theres your two solutions.

Answer:A

Step-by-step explanation:

When graphed it is the only one to semi-complete the pattern

The correct answer to this question is 7/220. To calculate this answer, divide the number of students who preferred the turkey club (7) by the total number of seventh-grade students (220). The fraction form of this answer is 7/220, the decimal form is 0.0318, and the percentage form is 3.18%.

Proportion is a mathematical concept that compares two values, which can be the same or different, using division. It is used to identify the relationship between two or more values. It can also be used to compare the parts of a whole or to compare two different wholes. Proportions can be expressed as a fraction, a decimal, or a percentage.

This answer can be used to estimate the number of students who preferred the turkey club. To do this, multiply the total number of seventh-grade students (220) by the proportion (7/220). This calculation results in 7 students. In other words, approximately 7 of the 220 seventh-grade students preferred the turkey club.

The proportion 7/220 can also be used to estimate the number of students who preferred the turkey club if the total number of seventh-grade students changes. For example, if the total number of seventh-grade students increases to 250, the estimated number of students who preferred the turkey club can be calculated by multiplying the new total (250) by the proportion (7/220). This calculation results in 8 students.

Therefore, the correct answer to the question is 7/220.

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Answer:

1. ΔA'B'C' = A' = (1, 1), B'(-1, 1), and C'(1, 4)

2. ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)

Step-by-step explanation:

1. The coordinates of the triangle ΔABC are; A(3, 1), B(5, 1), and C(3, 4)

The reflection of a line across the line x = 2, is given as follows

The distance between the x-coordinate of the preimage and the line of reflection which is parallel to the x-axis = The distance of the x-coordinate of the preimage from the line of reflection but opposite in sign

The distance from A(3, 1) from x = 2 is 3 - 2 = 1, therefore, the x-coordinate of the image, A' = 2 - 1 = 1, therefore, we have;

The coordinate of A' = (1, 1)

Similarly, we have; B(5, 1) (reflection across x = 2) → B'(-1, 1)

C(3, 4) (reflection across x = 2) → C'(1, 4)

Therefore when we reflect ABC across the line x = 2, we get ΔA'B'C', with A' = (1, 1), B'(-1, 1), and C'(1, 4)

2. Reflection of A'B'C' across the line x = -3, gives;

A'(1, 1) (reflection across x = -3) → A''(-7 1)

B'(-1, 1) (reflection across x = -3) → B''(-15 1)

C'(1, 4) (reflection across x = -3) → C''(-7, 4)

The coordinates of the reflection of ΔA'B'C' across the line x = -3 is ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)

Answer:

-66.8

Step-by-step explanation:

I just used an advanced calculator

Answer:

a = -66.8

Step-by-step explanation:

33 + a = - 33.8

a = -33.8 - 33

a = -66.8

*~Check~*

33+ (-66.8 ) = x

33 - 66.8 = x

x = -33.8

CORRECT

Answer:

16

Step-by-step explanation:

4^2

This means the base of 4 multiply by itself 2 times

4*4

16

Awsner:

Yes it's C

Hope this helps :D

Answer:

C.

Step-by-step explanation:

Lets start with the first half of each statement. We know function f is going up when x is negative. Function g also has to be going up when x is negative because there is no x intercept. This means it can not go down.

Because of this, we can eliminate answer A and B.

Now for the second half of the statements.

Function f starts to even out as x goes up. Function g also has to start leveling out since there is not x-intercept.

Since these graphs are similar in both ways, it has to be C.

Answer:

-8

Step-by-step explanation:

-4d=32

d=32/-4

d=-8

Bryan is able to maintain a consistent travel time to work, despite the presence of red lights.

Based on the information provided, it seems like Bryan is always taking the same amount of time to drive to work, regardless of whether the traffic lights are red or not. Let's break it down:

1. Bryan knows that it takes him fifteen minutes to drive to work under normal conditions, with no red lights.
2. However, if every traffic light is red on his way to work, it takes him twenty minutes to get there.

So, even though there is a possibility of encountering red lights, Bryan still manages to get to work in the same amount of time as when there are no red lights. This suggests that Bryan may have found a way to navigate around the red lights, or there may be alternative routes he takes to avoid delays.

In summary, Bryan is able to maintain a consistent travel time to work, despite the presence of red lights.

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Simple linear regression is a statistical technique used to model the relationship between two variables by fitting a straight line to the data. It provides a way to predict or estimate the value of one variable (dependent variable) based on the value of another variable (independent variable).

In simple linear regression, the relationship between the independent variable (x) and the dependent variable (y) is represented by a straight line. The goal is to find the best-fitting line that minimizes the differences between the observed values of the dependent variable and the predicted values from the regression line.

A graph illustrating simple linear regression includes the scatterplot of the data points, the regression line, and the residuals. The scatterplot shows the individual data points with the independent variable on the x-axis and the dependent variable on the y-axis. The regression line is the line that best fits the data, minimizing the sum of the squared residuals.

Residuals are the vertical distances between the observed data points and the regression line. They represent the differences or errors between the actual values and the predicted values. By examining the residuals, we can assess how well the regression line fits the data. If the residuals are randomly scattered around zero, it suggests that the linear regression model is appropriate. If there is a pattern or systematic deviation in the residuals, it indicates that the model may not be capturing the underlying relationship accurately.

The regression line is constructed by minimizing the sum of the squared residuals, which is known as the least squares method. This ensures that the line represents the best linear approximation of the relationship between the variables.

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Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

The population mean is (180.535, 185.465). Option (c) (180.5, 185.5) is the closest match to the calculated confidence interval.

The 90% confidence interval for the population mean can be calculated using the formula: Confidence Interval = sample mean ± (critical value) * (standard deviation / √n)

First, we need to determine the critical value corresponding to a 90% confidence level. Since the sample size is large (n > 30), we can use the Z-distribution.

Looking up the critical value for a 90% confidence level in the Z-table, we find it to be approximately 1.645.

Next, we can plug in the values into the formula: Confidence Interval = 183 ± (1.645) * (40 / √712)

Calculating the expression inside the parentheses: Confidence Interval = 183 ± (1.645) * (40 / 26.703)

Simplifying:

Confidence Interval ≈ 183 ± 1.645 * 1.499

Confidence Interval ≈ 183 ± 2.465

Therefore, the 90% confidence interval for the population mean is (180.535, 185.465). Option (c) (180.5, 185.5) is the closest match to the calculated confidence interval.

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Answer:

Substitute your answer for the variable x. If the equation looks accurate or is correct, then the value of x is the right answer. Not sure if this makes sense

Determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Simplify the equation as much as possible using algebraic manipulations such as combining like terms, factoring, and expanding.

Evaluate the equation for a few different values of x to see if it holds true. If the equation is true for all values of x within the domain, then it will be true for all values of x. If there are any values of x within the domain that make the equation false, then it will be false for no values of x.

If the equation cannot be simplified or the domain cannot be determined, then it may require further analysis, such as graphing or using calculus techniques to determine its behavior.

Thus, determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.

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Answer:

302.3

Step-by-step explanation:

Answer:

for more math help use the app called connects

This is the answer to your problem

No, it is not possible to have a simple graph with n vertices, where n is any integer greater than or equal to 5, such that all vertices have different degrees.

In a simple graph, the degree of a vertex refers to the number of edges connected to that vertex. The maximum degree possible in a graph with n vertices is (n-1), which occurs when one vertex is connected to all other vertices.

To create a graph where all vertices have different degrees, we would need to assign a unique degree to each vertex. However, if n is greater than or equal to 5, we cannot assign n unique degrees to n vertices while satisfying the conditions of a simple graph.

To see why, consider the case of n = 5. We need to assign degrees 1, 2, 3, 4, and 5 to the vertices.

The vertex with degree 5 must be connected to all other vertices, leaving us with four remaining degrees (1, 2, 3, and 4) to assign to the remaining four vertices. However, no matter how we distribute these degrees, at least two vertices will have the same degree.

This argument can be extended to any value of n greater than 5. Therefore, it is not possible to construct a simple graph with n vertices where all vertices have different degrees for any integer n ≥ 5.

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

A: y=-0.2x+2

Step-by-step explanation:

Positive value b have an absolute maximum at x= 1-b is a local maximum.

g(x) has a point of inflection on the interval 0 < x < infinity for all values of b in the interval (0,2).

To find the absolute maximum of g(x), we need to find the critical points of g(x) and check their values.

g(x) = \(xe^(-x) e^(-b)\)

g'(x) = \(e^(-x)(1-x-b)\)

Setting g'(x) = 0, we get:

\(e^(-x)(1-x-b)\) = 0

This gives two solutions: x = 1-b and x = infinity (since\(e^(-x)\) is never zero).

To determine which of these is a maximum, we need to check the sign of g'(x) on either side of each critical point.

When x < 1-b, g'(x) is negative (since \(e^(-x)\)and 1-x-b are both positive), which means that g(x) is decreasing.

When x > 1-b, g'(x) is positive (since\(e^(-x)\)is positive and 1-x-b is negative), which means that g(x) is increasing.

Therefore, x = 1-b is a local maximum. To determine whether it is an absolute maximum, we need to compare g(1-b) to g(x) for all x.

g(1-b) =\((1-b)e^(-1) e^(-b)\)

g(x) = \(xe^(-x) e^(-b)\)

Since \(e^(-1)\)is a positive constant, we can ignore it and compare \((1-b)e^(-\)b) to \(xe^(-x)\) for all x.

It can be shown that xe^(-x) is maximized when x = 1, with a maximum value of 1/e. Therefore, to maximize g(x), we need to choose b such that \((1-b)e^(-b) = 1/e.\)

(c) To find the points of inflection of g(x), we need to find the second derivative of g(x) and determine when it changes sign.

g(x) = \(xe^(-x) e^(-b)\)

g'(x) =\(e^(-x)(1-x-b)\)

g''(x) = \(e^(-x)(x+b-2)\)

Setting g''(x) = 0, we get x = 2-b.

When x < 2-b, g''(x) is negative (since \(e^(-x)\)is positive and x+b-2 is negative), which means that g(x) is concave down.

When x > 2-b, g''(x) is positive (since \(e^(-x)\) is positive and x+b-2 is positive), which means that g(x) is concave up.

Therefore, x = 2-b is a point of inflection.

To find all values of b for which g(x) has a point of inflection on the interval 0 < x < infinity, we need to ensure that 0 < 2-b < infinity. This gives us 0 < b < 2.

Therefore, g(x) has a point of inflection on the interval 0 < x < infinity for all values of b in the interval (0,2).

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