Please help i really need help on a b and c

4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

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Pick out the largest and the smallest integers from -3, -7, -42, 0, 5, 38, 11, -1, 15, -99

largest: 38

smallest: -99

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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Answer: 134.4933

Step-by-step explanation: 58.1987 minus 192.692 is 134.4933

The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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Answer:

1. 167.55

2. 10.77

Step-by-step explanation:

For #1 use the formula for volume of cone: \(V=\pi r^2\frac{h}{3}\), and for #2 use the Pythagorean Theorem: \(a^2+b^2=c^2\)

El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.

Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.

Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.

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Answer:

3.05

Step-by-step explanation:

Answer:

3 3/4 inches

Step-by-step explanation:

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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Answer:

Step-by-step explanation:

The system has infinitely many solutions if the two equations are equivalent.

We can analyze the given systems to see:

A)

Different slopes, there is one solution

B)

Different slopes, there is one solution

C)

Same lines, infinitely many solutions

D)

Different slopes, there is one solution

Solution:

When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.

Option A - 2x + 7x + y = 6 and y = 9x + 6

Option B - y = 5x + 7 and y = 2x + 8

Option C - y = x + 4 and 2y = 2x + 8

Option D - 7x - y = 10 and y = 6x + 8

Hence, Option C is correct.

Hi!

In order to solve this, we need 'un factor' the factorization.

Given:

\((2x+3) (4x-1)\)

Use the FOIL (Front, Outer, Inner, Last) distribution method:

\(8x^2-2x+12x-3\)

Combine like terms:

\(8x^2+10x-3\)

Therefore, -3 is your answer.

(Hint: notice that, if you wanted to shorten this step, you can simply look at the last two terms in each of the parentheses and multiply them. In this case, it's 3 and -1, and when multiplied that's -3 ~ we got the same answer from before!)

Answer:

4

Step-by-step explanation:

2(-3)=-6

(-6+(-2))/-2

(-6-2)/-2

-8/-2

4

To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

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To represent the problem situation, the function B(h) is needed, where B represents a certain quantity or value and h represents another variable or parameter related to it.

Without specific information or context provided in the question, it is challenging to determine the exact function B(h) that represents the problem situation. The function could represent various scenarios, such as a mathematical model, a physical relationship, or a real-world problem.
To determine the function B(h), additional details or constraints are necessary. This could include information about the relationship between B and h, any given conditions, or any known mathematical expressions or formulas associated with the problem.
Once the problem situation is clarified with specific details, it becomes possible to establish the function B(h) and define its relationship based on the given information.

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Answer:

\(3^0 = 1\)

Step-by-step explanation:

\(a^0 =1 ,~~ a \neq 0\)

The standard form of the given LP for the simplex method is:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

To formulate the given linear programming problem in standard form for the simplex method, we need to introduce slack variables and convert all inequalities into equality constraints. Here's the formulation:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

Introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equality constraints.

The objective function remains the same since it does not have any coefficients associated with decision variables.

The first inequality constraint becomes an equality by introducing s₁ and s₂ as slack variables.

The second inequality constraint becomes an equality by introducing s₃ as a slack variable.

All decision variables (x₁, x₂) and slack variables (s₁, s₂, s₃) are non-negative.

Therefore, the standard form of the given LP for the simplex method is:

Maximize:

Z = 0x₁ + 0x₂

Subject to:

3x₁ + 5x₂ + s₁ - s₂ = 4

x₁ + x₂ + s₃ = 2

x₁, x₂, s₁, s₂, s₃ ≥ 0

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We can conclude that only some of the ratios in Table A are greater than the ratios in Table B. (option-c)

To compare the ratios of squares to circles in the tables, we must divide the value in the Squares column by the value in the Circles column for each row in the table.

For Table A, the ratios of squares to circles are:

5/3 = 1.67

10/6 = 1.67

For Table B, the ratios of squares to circles are:

10/3 = 3.33

20/9 = 2.22

Comparing the ratios in Table A to the ratios in Table B, we see that the first two ratios are equal (1.67) and the last two ratios are different (3.33 in Table B is greater than 1.67 in Table A, and 2.22 in Table B is less than 1.67 in Table A).

Specifically, the ratio in the second row of Table B is greater than both ratios in Table A, but the ratios in the first row of each table are equal.(option-c)

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If a costumer decides to pay in cash then saved £3.6.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A cash discount of 8% is allowed on an item which costs £45.

Now, The amount of Saved money calculated as;

Since, A cash discount of 8% is allowed on an item which costs £45.

Hence,

Saved money = 8% of £45

                      = 8 x 45 / 100

                      = 3.6

Thus, Saved money = 3.6

Therefore, If a costumer decides to pay in cash then saved £3.6.

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Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

\(\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}\)

Let:

V = Number of visits

T = Total points

The total points will be:

he needs at least 260 points for a free movie ticket, therefore:

Let's solve the inequality:

He needs at least 14 visits

Answer:

Step-by-step explanation:

\(3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2\)

We use the change of variables formula to obtain the PDF of X in terms of the PDF of Y:

\(f(x) = f_Y(ln(x)) * |d(ln(x)) / dx|\)

where f_Y is the PDF of Y and |d(ln(x)) / dx| is the absolute value of the derivative of the transformation.

Yes, that's correct. A continuous random variable X is said to have a log-normal distribution with parameters μ and σ^2 if its natural logarithm, ln(X), follows a normal distribution with mean μ and variance σ^2. This is denoted as X ~ LogN(μ, σ^2).

The probability density function (PDF) of X can be expressed as:

\(f(x) = (1 / (x * σ * √(2π))) * e^(-(ln(x) - μ)^2 / (2σ^2))\)

where x > 0 is the value of the random variable X.

This PDF is derived using the transformation method, where we start with the PDF of the normal distribution and apply the transformation to obtain the PDF of the log-normal distribution. Specifically, we use the transformation:

ln(X) = Y

where Y follows a normal distribution with mean μ and variance σ^2. Then, we use the change of variables formula to obtain the PDF of X in terms of the PDF of Y:

\(f(x) = f_Y(ln(x)) * |d(ln(x)) / dx|\)

where f_Y is the PDF of Y and |d(ln(x)) / dx| is the absolute value of the derivative of the transformation. This simplifies to the expression given above.

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The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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The given equation is-

First, we sum 5 on each side.

Then, we divide the equation by 3.

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

Answer:

1.1

Step-by-step explanation:

square root of 1.19- 1.09087...- rounded to 1.1

Answer:

it is 1.1

you should use calculator

Step-by-step explanation:

:)

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Using a calculator, we find that 3√29 ≈ 3.0345 to four decimal places, which is the same as our approximation using differentials.

To use differentials to approximate the value of the expression 3√29, we can follow these steps:

Start with the equation for the differential of \(y = x^(1/3)\), which is:

\(dy = (1/3)x^(-2/3)dx\)

Substitute x = 29 into the equation, giving us:

\(dy = (1/3)(29)^(-2/3)dx\)

Approximate dx as 0.001, which gives us:

dx = 0.001

Calculate dy using the equation we derived in step 2:

\(dy = (1/3)(29)^(-2/3)(0.001) ≈ 0.00176\)

Approximate the value of 3√29 as:

\(3√29 ≈ 3√(29 - 0.001) + dy\)

≈ 3√28.999 + 0.00176

≈ 3.0345

Using a calculator, we find that 3√29 ≈ 3.0345 to four decimal places, which is the same as our approximation using differentials.

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