How do I solve this problem???

To answer this question, we need to remember that if we have the function f(x), the function -f(x) is the reflection of the function f(x) in the x-axis.

Then, the graph of the function g(x) is the same as g(x) = -f(x). Then, we have that:

Then

We can check this graphically as follows (the red graph is the function f(x) = 4|x| and the blue function is g(x) = -4|x|):

Therefore, g(x) = -4|x| is the reflection of the function f(x) = 4|x| over the x-axis.

In summary, the equation that describes g(x) is:

(First option).

Answer:

12.2 oz

Step-by-step explanation:

you would just plug in 2 for x so you get 0.6(2)+11 and which you simplify to get 1.2+11 and then you would get 12.2 as the weight

The value of the inequality will be;

⇒ x ≤ 2 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 3 1/2 ≥ 1.4x

Now,

Since, The inequality is,

⇒ 3 1/2 ≥ 1.4x

Hence, Solve for x as;

⇒ 7/2 ≥ 1.4x

⇒ 3.5 ≥ 1.4x

⇒ 3.5/1.4 ≥ x

⇒ 35/14 ≥ x

⇒ 5/2 ≥ x

⇒ x ≤ 2 1/2

Thus, The value of the inequality for x is;

⇒ x ≤ 2 1/2

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Answer:

6x -1

Step-by-step explanation:

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

The temperature was 42°C this afternoon. If the temperature dropped 9°C, The temperature is now 33°C.

In order to calibrate thermometers, a variety of temperature scales with distinct reference points and thermometric materials are used.The Celsius scale (°C), formerly known as centigrade, with the unit symbol °C, is the most commonly used scale, followed by the Fahrenheit scale (°F) and the Kelvin scale (K), which is mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

42°C - 9°C = 33°C

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The depth of the ice cream cone must be 4 inches, so that the melted ice cream will fill the cone exactly to the top with overflowing.

In Mathematics and Geometry, the volume of a cone can be determined by using this formula:

V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

Volume of cone, V = 1/3 × πr²h

Volume of cone, V = 1/3 × π × 1² × h

Volume of cone, V = πh/3

For the volume of a sphere, we have:

Volume of sphere = 4/3 × πr³

Volume of sphere = 4/3 × π × 1³

Volume of sphere = 4π/3

Equating the volumes, we have:

4π/3 = πh/3

3πh = 12π

Height, h = 12π/3π

Height, h = 4 inches.

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Answer:

191

Step-by-step explanation:

An = a1 + (n-1)d

An = 5 + (63-1)3 = 191

Answer:

191

Step-by-step explanation:

Since it's an A.P, the formular = a+(n-1)d

a = first term = 5

n = 63

d = common difference

After, putting the values, you'll have that:

T63= 5+(63-1)3

T63= 5+(62)3

T63= 5+ 186

T63= 191

Answer:

She is 30

Explanation:

Because if you read it right it says "Emmett is 4 years older than Liam." Also you had a grammar error in it.

Means and Variances of Linear Combinations:


(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22 + 4σ122



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22 + 4σ122



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22



In the case that X1 and X2 are independent, then σ122 = 0, so:

(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

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Step-by-step explanation:

its -7.4

because each gap means 0.1

The firm will shut down in the short run due to the inability to cover total costs with the marginal cost (MC) below both the average total cost (ATC) and the marginal revenue (MR). Thus, the correct option is :

(c) shut down in the short run.

To analyze the firm's situation, we need to consider the relationship between costs, revenues, and profits.

Option a. "maximize its profit by producing in the short run" is not correct because the firm is experiencing losses. When MC is below ATC, it indicates that the firm is making losses on each unit produced.

Option b. "minimize its losses by producing in the short run" is also not correct. While producing in the short run can help reduce losses compared to not producing at all, the firm is still unable to cover its total costs.

Option d. "realize a loss of $5 per unit of output" is not accurate based on the given information. The exact loss per unit of output cannot be determined solely from the given data.

Now, let's discuss why option c. "shut down in the short run" is the correct choice.

In the short run, a firm should shut down when it cannot cover its variable costs. In this scenario, MC is equal to AVC at $8, indicating that the firm is just able to cover its variable costs. However, MC is below both ATC ($12) and MR ($7), indicating that the firm is unable to generate enough revenue to cover its total costs.

By shutting down in the short run, the firm avoids incurring further losses associated with fixed costs. Although it will still incur losses equal to its fixed costs, it prevents additional losses from adding up.

Therefore, the correct option is c. "shut down in the short run" as the firm cannot cover its total costs and is experiencing losses.

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Answer:

  66°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°.

__

  79° +x +35° = 180°

  x = 180° -114° . . . . . . . . subtract 114° from both sides

  x = 66° . . . . . simplify

the value of the algebraic equation −8x+6y+6 will be 10.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given,  −8x+6y=4 is a true equation

To find the value of the equation −8x+6y+6

=> −8x+6y+6

Since −8x+6y = 4 given

Thus,

=> 4 + 6

=> 10

Therefore, the value of the algebraic equation −8x+6y+6 will be 10.

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The eigenvector corresponding to λ₂ is v₂ = [-i, 1 + i, -2 - 2i].

To find a unitary matrix U that diagonalizes matrix A, we need to find the eigenvalues and eigenvectors of A.

First, let's find the eigenvalues by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue.

A - λI = [0 -i -2] - λ [1 0 0] = [0 -i -2 - λ 1 2 0 -1 0 - λ]

Expanding the determinant, we get:

(0 - λ)(λ² - 1) + 2i(-2λ) = 0

λ(λ² - 1) - 4iλ = 0

λ(λ² - 1 - 4i) = 0

Setting each factor equal to zero, we find the eigenvalues:

λ₁ = 0

λ₂ = 1 + 2i

λ₃ = 1 - 2i

Next, we find the eigenvectors corresponding to each eigenvalue.

For λ₁ = 0, we solve the equation (A - λ₁I)v₁ = 0:

[0 -i -2] [x] [0]

[-i 0 1] [y] = [0]

[2 -1 0] [z] [0]

This system of equations simplifies to:

-iy - 2z = 0

-ix + z = 0

2x - y = 0

We can choose a solution, such as x = 1, y = 2, and z = -1. Therefore, the eigenvector corresponding to λ₁ is v₁ = [1, 2, -1].

For λ₂ = 1 + 2i, we solve the equation (A - λ₂I)v₂ = 0:

[-(1 + 2i) -i -2] [x] [0]

[-i -(1 + 2i) 1] [y] = [0]

[2 -1 -(1 + 2i)] [z] [0]

This system of equations simplifies to:

-(1 + 2i)x - iy - 2z = 0

-ix - (1 + 2i)y + z = 0

2x - y - (1 + 2i)z = 0

Solving these equations, we find a solution such as x = -i, y = 1 + i, and z = -2 - 2i. Therefore, the eigenvector corresponding to λ₂ is v₂ = [-i, 1 + i, -2 - 2i].

For λ₃ = 1 - 2i, we solve the equation (A - λ₃I)v₃ = 0:

[-(1 - 2i) -i -2] [x] [0]

[-i -(1 - 2i) 1] [y] = [0]

[2 -1 -(1 - 2i)] [z] [0]

This system of equations simplifies to:

-(1 - 2i)x - iy - 2z = 0

-ix - (1 - 2i)y + z = 0

2x - y - (1 - 2i)z = 0

Solving these equations, we find a solution such as x = i, y = 1 - i, and z = -2 + 2i. Therefore, the eigenvector corresponding to λ₃

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The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ 2(a  -3) + 4a

Simplify the expression, then we have

⇒ 2(a  -3) + 4a

⇒ 2a - 6 + 4a

⇒ 6a - 6

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

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The missing options are given below.

A. 6a - 6

B. 6a - 1

C. a - 6

D. None of the above

Answer:

C,B,A

Step-by-step explanation:

Answer:

3 2 1

Step-by-step explanation:

The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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The numbers on the mailboxes represent categorical data.

Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.

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Your question has been heard loud and clear.

Slope formula when two points are given= y2-y1/x2-x1

Here y2= 2

X2=2

Y1= -4

X1= -1

= 2-(-4)/2-(-1)= 2

Slope of line= 2

Thank you.

Answer:

\(\huge \boxed{\mathrm{B. \ 2}}\)

Step-by-step explanation:

The line crosses two points.

The two points are (-1, -4) and (2, 2).

The slope of a line can be found through two points.

\(\displaystyle \sf slope = \frac{rise}{run}\)

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

\(y_2=2 \\ y_1 = -4 \\ x_2=2 \\ x_1=-1\)

Plug in the values and evaluate.

\(\displaystyle m=\frac{2-(-4)}{2-(-1)}\)

\(\displaystyle m=\frac{2+4}{2+1}\)

\(\displaystyle m=\frac{6}{3}\)

\(m=2\)

The slope of the line is 2.

Answer:

Explanation:

Here, we want to write the equation of a line in point-slope form

Mathematically, we have that as:

where m, which is the slope is -2/3 and (x1,y1) which is the point is (-3,2)

Substituting the values, we have it that:

From the given figure the angle x° is quals to 38°.

Given triangle is a right-angled triangle,

In the right-angled triangle the opposite side of the triangle = 6.1

The hypotenuse of the triangle = 9.9

In a right-angled triangle, by using little big trigonometry we know that,

sin theta = opposite side of the triangle/hypotenuse side of the triangle

From the given figure sin x° = opposite side of x / hypotenuse side

sin x° = 6.1/9.9

x° = \(sin^{-1}\)  (6.1/9.9)

x° = 38.03°

From the above analysis, we can conclude that the angle of x° is equal to 38.03° ≅ 38°.

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The length of a side and the perimeter of the rhombus will be 5 units, and 20 units, respectively.

Given that:

A rhombus has diagonals of 6 and 8.

The side length of the rhombus is calculated as,

⇒ √((6/2)² + (8/2)²)

⇒ √(9 + 16)

⇒ √25

⇒ 5 units

The perimeter of the rhombus is calculated as,

P = 4 a

P = 4 x 5

P = 20 units

The length of a side and the perimeter of the rhombus will be 5 units, and 20 units, respectively.

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Answer:

find the speed for one minute which would 18 divide by 12 which is 1.50 after multipy by 60 because 60 minutes equals 1 hour

Step-by-step explanation:

Answer:

last option is the answer

Step-by-step explanation:

the answer cannot be the two middle options because you can see the y-intercept is 2 so the equation must end with that

now you have to determine if the slope of the line is -5 or -1

you can find the slope by selecting two points on the line; for example, (0,2) and (1,1) and using formula:  difference of y-values       2 - 1  

                                              difference of x-values        0 - 1

the slope is -1

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

x = 2, y = 3

Step-by-step explanation:

x - 3y = - 7 → (1)

x = 5 - y → (2)

Substitute x = 5 - y into (1)

5 - y - 3y = - 7

5 - 4y = - 7 ( subtract 5 from both sides )

- 4y = - 12 ( divide both sides by - 4 )

y = 3

Substitute y = 3 into (2)

x = 5 - 3 = 2

solution is (2, 3 )

Answer:

Step-by-step explanation:

\((x^{a})^{b}=x^{a*b}\\\\(8^{5})^4}=8^{5*4}=8^{20}\)