\(\frac{x}{2}\)±4=8

Answer:

a

Step-by-step explanation:

Answer:

c. (3x)^2

Step-by-step explanation:

The area of the resulting two-dimensional cross-section of the pyramid geometry will be 5 square inches.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

What is an area in math definition

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares

A slice is made parallel to the base of a right rectangular pyramid, as shown.

Then the area of the resulting two-dimensional cross-section will be

Area = 2 in × 2.5 in

Area = 5 in²

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Answer:

4x+3

2x (3-1) + 3​

2x(2)+3

4x+3

The simplified expression is 4x+3

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Given is an expression 2x(3-1)+3,

Simplifying, we get,

2x(3-1)+3

= 2x·3-2x·1+3

= 6x-2x+3

= 4x+3

Hence, the simplified expression is 4x+3

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Answer:

There're too much possibilities of the answer.

Answer:

nsbdhdhshsnsnsbdbxbxb

Step-by-step explanation:

bshdhdhdhdhd

Answer:

y = 8x+6

Step-by-step explanation:

First find the slope since it is a linear function

m = (y2-y1)/(x2-x1)

    = (18-2)/(1 1/2 -  -1/2)

    =16 /  (1 1/2 +1/2)

    = 16/2

  = 8

The linear function is in the form

y = mx+b where m is the slope

y = 8x+b

Substitute the other point into the equation to determine b

10 = 8(1/2) +b

10 = 4+b

10-4 = b

6 = b

y = 8x+6

The dimensions of the tank with minimum  weight  is height= 7 and width and length= 14.

The minimum surface area implies that the tank has minimum weight.

Given that the base is square, its width is equal to its length.

Let x= the base width and length of the tank.

Let h = the height .

We are given the volume of the tank that is 1372 ft^3. The formula is given by

V = hx^2

We're given that V = 1,372 ft^3, so

hx^2 = 1,372

h = 1,372 / x^2  ----------(equation 1)

Surface area can be calculated using the below given formula.

A = x^2 + 4xh

Substituting the value of euation 1, h in A, we get,

A = x^2 + 4x(1,372 / x^2)

= x^2 + 5,488 / x

To get the minimum surface area to get the minimum weight, we need to differentiate  A with respect to x and equate it to zero.

dA/dx = 2x - 5,488 / x^2 = 0

2x^3 - 5,488 = 0

x =\(\sqrt[3]{\frac{5,488}{2} }\)

x= 14

We got the value of x, we substitute the value in equation 1, we get the value of h.

h = 1,372 / 14^2

h= 7

So, the dimensions of the tank with minimum weight are width and length is 14 and height is 7.

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Answer:

\(\frac{2}{3\\}\)

Step-by-step explanation:

If you divide 1/3 then it is equal to 0.33. So then you must multiply that by 2 and it equals 2/3.

The z-score of the norminal distribution is 10.14.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.

To calculate the z-score of the norminal distribution, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer: 830

Step-by-step explanation:

Answer:

The nearest whole number is 830

Step-by-step explanation:

Sue required 6 in² piece of fabric to cover the triangular shaped piece  of woods.

As per the given question,

The dimensions for the triangular shaped piece of wood are-

Then, the area of the fabric to cover the wood is-

Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 2 x 6

Area of triangle = 6 in²

Thus, Sue required 6 in² piece of fabric to cover the woods.

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Answer:

m = (n/3) - k

Step-by-step explanation:

n = 3(k + m)

n = 3k + 3m

n - 3k = 3m

3m/3 = (n - 3k)/3

m = (n/3) - k

n = 3(k+m)

n = 3k + 3m

3m = -3k + n

m = -k + 1/3 n

Answer:

5.34

Step-by-step explanation:

x = 8.9 X 0.6

x = 5.34

Your welcome :)

The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.

According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.

In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.

Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.

Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.

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Answer:

9:12 10:24

Step-by-step explanation:

First find their least common divisor which is 36. which means every 36 minutes they will flashes together.

just add the 36 to the time where they flash at the same time which is 8:00am

8:36 9:12 9:48 10:24 11:00 11:36

Answer: 9:12 and 10:24

Step-by-step explanation:

if we start from 8 am and add 12 minutes for light A in intervals and do the same for Light B we can see where the times are the same

Light A: 8:00, 8:12, 8:24, 8:36, 8:48, 9:00, 9:12, 9:24, 9:36, 9:48, 10:00, 10:12, 10:24, 10:36, 10:48, 11:00, 11:12, 11:24

Light B: 8:00, 8:18, 8:36, 8:54, 9:12, 9:30, 9:48, 10:06, 10:24, 10:42, 11:00, 11:18

9:12 and 10:24 are the correct answers because this is when the two lights flash at the same time

Answer:

10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft

Step-by-step explanation:

Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches

Ramon wants to make an acute triangle with three pieces of wood. So far,

he has cut wood lengths of 7 inches and 3 inches.

What length must the longest side be in order for the triangle to be acute?

According to the property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side.

If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.

where, 'a' is the larger side and 'b' ,'c' are the smaller side

According to the question, Let a =a , b = 7, c = 3

\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)

Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.

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Answer:

less than 58 inches but greater than 7

Step-by-step explanation:

i got it right on edge

Answer:

5.2491

Step-by-step explanation:

I'm sorry if this is incorrect

Answer:

52,491 = 5.2491 * 10 to the 4th power

Step-by-step explanation:

52,491

Move 4  times to the left

Here it is step by step

1. 5249.1 ( moved one place over)      

2. 524.91 ( moved over two places)

3. 52.491 ( moved over three places)

4. 5.2491 ( moved four places)

Answer:

Human activities such as driving cars, and working at factories contribute to global warming significantly because burning fossil fuels in cars releases carbon dioxide, which is the largest source of greenhouse gas emissions in the U.S. and as these gases build up, they trap heat in the atmosphere, causing climate change.

The solution set {(-4, 2)} is satisfied when C = 3 and D = -4. Hence, the correct answer is option C.

To find the values of C and D that satisfy the given system of equations, we substitute the coordinates of the solution set {(-4, 2)} into the equations and solve for C and D.

Substituting x = -4 and y = 2 into the first equation, we have:

C(-4) - 2(2) = -16

-4C - 4 = -16

-4C = -12

C = 3

Next, substituting x = -4 and y = 2 into the second equation, we have:

2(-4) + D(2) = -16

-8 + 2D = -16

2D = -8

D = -4

Therefore, the values of C and D that satisfy the system of equations and yield the solution set {(-4, 2)} are C = 3 and D = -4. Thus, the correct answer is option c: C = 3, D = -4.

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Answer:

it's 81 degrees

Step-by-step explanation:

it is equal to other corner

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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Answer:

Step-by-step explanation:

Let the time in travel for the first train be x, then we have equation for distance:

Time when the second train caches up the first one:

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is \(4\sqrt{3}\)

The geometric mean of two numbers \(x_1\) and \(x_2\) is given by the formula:

\(GM = \sqrt{x_1 \times \ x_2}\)

The two given numbers are 6 and 8

That is, \(x_1=6\) and \(x_2=8\)

Substitute  \(x_1=6\) and \(x_2=8\) into the formula \(GM = \sqrt{x_1 \times \ x_2}\)

\(GM=\sqrt{6 \times 8}\)

Simplifying further:

\(GM=\sqrt{48} \\\\GM=4\sqrt{3}\)

Therefore, the geometric mean of 6 and 8 is \(4\sqrt{3}\)

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Step-by-step explanation:

y = 4x + 3.

Therefore y = 7 + 3x

=> (4x + 3) = 7 + 3x

=> x = 4.

y = 4(4) + 3 = 19.

The solution pair is (4,19).

Answer:

(h-g)(x) = x^3 - 5x -5

Step-by-step explanation:

h(x)= x^3 - 2x and g(x)= 3x +5

(h-g)(x) = x^3 - 2x -( 3x +5)

Distribute

(h-g)(x) = x^3 - 2x - 3x -5

Combine

(h-g)(x) = x^3 - 5x -5

When the relationship between the regression line and the data points is weak, it indicates a lack of strong association and highlights the need for further investigation and consideration of alternative explanations to better understand the underlying dynamics of the variables being studied.

When the relationship is weak, it implies that the data points are scattered and do not follow a clear pattern or trend. The variability in the data is high, making it difficult to establish a strong linear relationship. This could be due to various reasons, such as the presence of outliers, measurement errors, or the existence of other unaccounted factors influencing the variables.

The weak relationship between the regression line and the data points suggests that the predictive power of the regression model is limited. The regression line may not effectively explain or predict the values of the dependent variable based on the independent variable(s). Consequently, relying solely on the regression analysis to make accurate predictions or draw conclusions may be unreliable.

It is important to interpret the results cautiously and consider alternative explanations or additional variables that might contribute to the observed variability in the data. Further exploration and analysis may be needed to identify other potential factors that influence the relationship between the variables and to determine whether a different model or approach is more appropriate.

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