-6x-4/2
2. Select all the expressions that are equivalent to
2
A.-3x - 2
B. 3x + 2
С. - 6х+4
2
D.-1/-
2 (6x+4)
E. 1/2 (-3x-2)

Answer:

7 inches

Step-by-step explanation:

you have to use the Pythagorean Theorem

Answer:

10 inches

Step-by-step explanation:

Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.

The Laplace transform of y(t) is: \(Y(s) = (2 + d/ds[e^{(-5t)}]) / (s + 2)\)

What is laplace transform?

The Laplace transform is a mathematical operation that transforms a function of time into a function of complex frequency. It is named after Pierre-Simon Laplace, a French mathematician.

To find the Laplace transform of y(t) for the given differential equation, we can directly apply the Laplace transform to the equation and use the initial condition. The Laplace transform of the differential equation is given by:

\(L(dy/dt) + 2L(y) = L(t'e^{(5t)})\)

Using the properties of the Laplace transform, we have:

\(sY(s) - y(0) + 2Y(s) = L(t'e^{(5t)})\)

Substituting the initial condition y(0) = 2 and the Laplace transform of \(t'e^{(5t)} = -d/ds[e^{(-5t)}]\), we get:

\(sY(s) - 2 + 2Y(s) = -d/ds[e^{(-5t)}]\)

Rearranging the equation, we have:

\((s + 2)Y(s) = 2 + d/ds[e^{(-5t)}]\)

Taking the Laplace transform of both sides, we get:

\(Y(s) = (2 + d/ds[e^{(-5t)}]) / (s + 2)\)

Therefore, the Laplace transform of y(t) is:

\(Y(s) = (2 + d/ds[e^{(-5t)}]) / (s + 2)\)

Note: The expression is left in symbolic form without further simplification or expansion into partial fractions, as per the request.

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Answer:

4 lbs

Step-by-step explanation:

The weight is in the y-axis and the amount of water is in the x-axis, so if you want to find what the weight is when the tank is empty, you just look at where the line is on the y-axis when x = 0.

4 pounds is the weight of an empty tank

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

(0, 4) and (1, 12)

Slope = 12-4/1

=8

Now let us find the y intercept which is weight of empty tank

4=8(0)+b

b=4

Hence, 4 pounds is the weight of an empty tank

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If the machinist makes 500 of these parts, the cost of the steel is 1170 dirham ( rounds to the nearest dirham).

We have, A machinist creates a solid steel part for a wind turbine engine. Let us consider volume, mass and density of steel part be "V", "M", "D" respectively.

Density of a material is defined as mass of material per unit volume of material,

D = M/V .

Volume of steel part, V = 1015 cm³

The cost of steel part = 29 fils per kg

Density of steel part, D = 7. 95 g/cm³

Number of steel part used by machinist

= 500

So, Denssity = Mass of steel part/ Volume of steel part

=> 7. 95 g/cm³ = M/1015 cm³

=> M = 7.95× 1015 g

=> M = 8,069.25 g

Now, Convert the mass of steel part from grams to kilograms using conversion units.

Mass of steel part, M = 8,069.25/1000 g

=> M = 8.07 kg

So, cost of one steel part = 29 fils/kg × 8.07 kg = 234.008 ~ 234 fils

If the machinist makes 500 of these parts, the cost of the steel = 500× 234

= 117,000 fils.

But we wants the cost of steel in dirham so we have to convert the fils units into dirham units,

One dirham is divided into 100 fils.

So, 117,000 fils = 117,000/100 dirham

= 1170 dirham.

Thus, required cost of steel is 1170 dirham.

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Answer:

Step-by-step explanation:

53. A=6.

54.we use the Pythagorean theorem =>

8^2=(8:2)^2+x^2

64=16+x^2
x^2=64-16=48

=> A=sqrt(48)= 4*sqrt(3).

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Answer:

Option B. ( x + 2, y - 1 ) is the correct answer.

Step-by-step explanation:

First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,

So the vertices are:

A(-4,2) , B(-3,4) and C(-1,1)

A'(-2,1), B'(-1,3) and C'(1,0)

By comparing respective vertices we can observe that

A(-4,2) => (x+2,y-1) => A'(-2,1)

B(-3,4) => (x+2,y-1) => B'(-1,3)

C(-1,1) => (x+2,y-1) => C'(1,0)

Hence,

Option B. ( x + 2, y - 1 ) is the correct answer.

Domain of the function is,  (0, ∞).

Range of the function is, (-∞, ∞).

x - intercept of the function is, (1, 0).

Vertical asymptote of the function is,  None.

What is domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

First to find the domain of the function,

Since, all input values shown on the x-axis make up a graph's domain.

We can see that values of x values are from 0 to ∞.

Hence, the domain is (0, ∞).

Now to find the range.

Since, the y-axis on a graph represents the possible output values, or range.

The y - axis having the values from -∞ to ∞.

Hence, the range of the function is, (-∞, ∞).

x - intercept is the point where function crosses the x - axis.

Here function crosses x - axis at (1, 0).

Hence, the x - intercept is (1, 0).

A graph's vertical asymptote is the vertical line at x = a where the graph trends toward positive or negative infinity as the inputs go closer to a.

So, the vertical asymptote is x = 0.

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Using it's formula, the distance between the points A(13,2) and B(7,10) is of 10 units.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this problem, the points are A(13,2) and B(7,10), hence the distance is given by:

\(D = \sqrt{(13 - 7)^2+(2 - 10)^2}\)

D = sqrt(100)

D = 10 units.

The distance between the points A(13,2) and B(7,10) is of 10 units.

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The area of sector AOB  whose radius OA 5 units is 19.6 sq. units.

A sector is a portion of a circle which is enclosed between its two radii and the arc adjoining them. The most common sector of a circle is a semi-circle which represents half of a circle.

Here, Radius of Circle = 5 units

         length of arc AB / circumference = 1/4

        So, Area of Sector AOB = one fourth of area of circle

                                                  = 1/4 X π X r²

                                                 = 0.25 X 3.14 X 5²

                                                 = 0.25 X 3.14 X 25

                                                 = 19.625 sq. units

Thus, the area of sector AOB  whose radius OA 5 units is 19.6 sq. units.

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Answer:

19.6

Step-by-step explanation:

The volume of pyramid is 3.5 cm³.

To find the volume of a pyramid with a square base, where the area of the base is 4.6 cm² and the height of the pyramid is 2.3 cm, we can use the following formula:

V = (1/3)B*h

Where V is the volume of the pyramid, B is the area of the base, and h is the height of the pyramid. Substitute the given values into the formula and solve:

V = (1/3)(4.6)(2.3)V = 3.53 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is 3.5 cm³. Therefore, the volume of pyramid is 3.5 cm³.

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By applying the probability theorem, it can be concluded that the probability of getting a subject who is not diabetic, given that the test result is negative is 90.3%.

Probability is a value used to measure the degree of occurrence of a random event.

P(A) = f / N, where:

P(A) = probability of event A occurring

f = frequency event A can occur

N = total number of outcomes possible

Below is the result of the diabetic test:

                       Positive    Negative        

Diabetic              35               3                  

Not diabetic         5               28                

Total                    40              31                  

Let's x as the probability of getting a subject that is not diabetic. Now we can calculate x as follows:

x = not diabetic and negative test / total of negative test

  = 28 / 31

  = 0.903

  = 90.3%

Thus the probability of getting a subject that is not diabetic is 90.3%.

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Answer:

192\(feet^3\)

Step-by-step explanation:

The formula for the area of a rectangle is : \(length*width\)

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

\(6*4=24\)

2) Multiply 24 by 8.

\(24*8=192 feet^3\)

Answer:

I got you Fam

Step-by-step explanation:

The radius is 12.4 meters if the linear speed and rate of rotation v=24.8m/s, 120 rev/mins.

It is defined as the rate of change in angular velocity with respect to time. It is also known as rotational acceleration.

It is given that:

The rate of rotation v = 24.8 m/s

The angular velocity w = 120 rev/mins

In rev/second

The angular velocity w = (120/60) rev/second = 2 rev/sec

The formula:

v = rw

Here r is the radius

r = v/w

r = 24.8/2

r = 12.4 meters

Thus, the radius is 12.4 meters if the linear speed and rate of rotation v=24.8m/s, 120 rev/mins.

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Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

Answer:

F(n) =-3n+24

Step-by-step explanation:

The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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Answer:

d and e

Step-by-step explanation:

1/8 x 3

1/8 x 4

(4th grade math?)

Answer:

D and E are the correct options.

Step-by-step explanation:

You can simplify each of the option to find out if they are equal to 1/8. If the numerator is a factor of the denominator it can be simplified by dividing denominator by the denominator and putting the quotient under 1. (Ex. 3/9 [9÷3=3] 3 under 1 is 1/30

A. 2/4 = 1/2

B. 3/12 = 1/4

C. 4/16 = 1/4

D. 3/24 = 1/8

E. 4/32 = 1/8

Direction: Opens Up

Vertex: (1,2)

Focus: (1, 9/4)

Axis of Symmetry: x = 1

Directrix: y = 7/4

Answer:

c

Step-by-step explanation:

Yes, the given equation is quadratic equation.

Here it has been given that,

3x² - 5x + 9 = x² - 7x + 3

Now, after solving  above equation further we obtain,

2x² + 2x + 6 = 0

From the above equation the factor 2 is taken out as it is common and now the equation looks like : x² + x + 3 = 0

The coefficients of the quadratic equation are compared  and if it meets the criteria then it is quadratic equation otherwise not.

Now as we can see, the above equation clearly represents a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 1 and c = 3.

Hence, the above given equation is a algebraic quadratic equation.

Which of the following is quadratic equation 3x² - 5x + 9 = x² - 7x + 3 ?

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Attached is a two-way frequency table, to help Hugo organize the results.

A two-way frequency table is a table used to organize and display the relationship between two categorical variables. It is constructed by counting the number of occurrences of each combination of categories and presenting the results in a table format.

1. Identify the categorical variables and list their possible categories.

cat, no cat, dog, no dog

2. Count the number of observations for each combination of categories.

cat = 17

no dog = 20

no cat no dog = 7

3. Organize the counts in a table with the categories of one variable as rows and the categories of the other variable as columns.

          | dog | no dog | total

cat      |        |              |   17  |

no cat |        |     7       |        |

total    |        |     20    |   41  |

4. Fill in the table with the counts of the observed combinations of categories.

cat but no dog = 20 - 7 = 13

both cat and dog = 17 -13 = 4

total no cat = 41 - 17 = 24

total dog = 41 - 20 = 21

dog but no cat = 24 - 7 = 17

          | dog | no dog | total

cat      |   4   |      13     |   17  |

no cat |   17  |     7       |   24  |

total    |   21  |     20    |   41  |

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Answer:

NULL ; TRUE

Step-by-step explanation:

The sampling distribution is on the assumption that the null hypothesis is true .

The null hypothesis is a general statement that states that there

is no relationship between two phenomenon's under

consideration or that there is no association between two groups.

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The sampling distribution is based on the assumption that the null hypothesis is TRUE.  

A null hypothesis is a general statement that something is. There is no relationship between the two phenomena under or consider that there is no relationship between the two groups.  

The sampling distribution is based on the assumption that the null hypothesis is TRUE.

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Answer

x = 18

You're welcome

Answer:

The answer would be x=18

Answer:

4

Step-by-step explanation:

Twenty Eight Divided By Seven Equals Four

l x w = area

7 x 4 = 28

Answer:

2 an a half

Step-by-step explanation:

4+4 is 8 an than you have 2 which is half of four

Of the given sentences, sentence A is correct: "Main effects should still be investigated and interpreted even when there is a significant interaction involving that main effect."

This sentence accurately states that main effects should be examined and interpreted even in the presence of a significant interaction involving that main effect. This is because main effects represent the individual effects of each independent variable on the dependent variable, regardless of whether there is an interaction.

Sentence B is incorrect: "You don’t need to interpret main effects if an interaction effect involving that variable is significant." This sentence suggests that main effects can be disregarded if there is a significant interaction effect. However, main effects are still important to interpret, as they provide information about the individual impact of each independent variable on the dependent variable.

Sentence C is incorrect: "Main effects are effects of higher order than interaction effects." Main effects and interaction effects are not categorized into different orders. Main effects represent the direct influence of an independent variable on the dependent variable, while interaction effects represent the combined effect of multiple independent variables.

Sentence D is incorrect: "Non-parallel lines on an interaction graph always reflect significant interaction effects." Non-parallel lines on an interaction graph may indicate a significant interaction effect, but they do not always reflect one. Other factors, such as the magnitude of the effect or the sample size, need to be considered when determining the significance of an interaction effect.

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Answer:

t<47/33

Step-by-step explanation:

Step-by-step explanation: The hypotenuse is defined as the longest side of a right triangle and since an equilateral triangle has 3 congruent angles and 3 congruent sides, it cannot be a right triangle.

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An equilateral triangle does not have a hypotenuse.

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Answer:

60 total marbles

12 red

so,

12/60 red.

1/5 as a fraction

.20 as a decimal

20%