Please help! Three step linear equations

(Please don’t answer with links)

5х + 6 = 8х + 12

Answer:

-15 is the reciprocal of 1/-15

Step-by-step explanation:

hope this helps you!!

Answer:

-15/1

-15........................

Step-by-step explanation:

1 9 1

----- - ----- = -----

2 20 20

Key distinction between parametric tests and nonparametric tests in terms of scales of measurement is that  parametric tests are used for interval and ratio data and non parametric tests are used for ordinal and nominal data.

i.e., the last given option.

For interval and ratio data, parametric tests are employed, while non-parametric tests are used for ordinal and nominal data

Data containing discrepancies or intervals are displayed in interval data.

The ratio data, which may be added to, subtracted from, multiplied by, or split, is the one in which statistical conclusions are used.

Ordinal data are measurements of quantitative data that are in order, such height and weight.

Nominal data are those that we measure quantitatively but do not require order or sequence, such as hair color or eye color.

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Answer:

168 days

Step-by-step explanation:

To find the day that all three trucks will coincide, we need to find the least common multiple of the period of the trucks, that is, 3, 8 and 14 days.

First we need to decompose the numbers into their prime factors:

3 -> 3

8 -> 2 * 2 * 2

14 -> 2 * 7

Then, we need to check the maximum number of times that each factor appears in a number:

2 -> 3 times

3 -> 1 times

7 -> 1 times

Then, we multiply these numbers considering the amount of times they appears:

2 * 2 * 2 * 3 * 7 = 168

So after 168 days the trucks will coincide

Answer:

In 168 days or 24 weeks

Step-by-step explanation:

Now, we have 3 trucks coming on different days but we want to know the

number of days the three will be around together

For the plastic container truck we have 3 days per trip

for the paper container trip, we have 8 days per trip

For the used battery, we have 14 days per trip (14 days is same as two weeks)

Now the key to getting our answer is knowing the lowest common multiple of

3, 8 an 14 days

That would be ;

168

The lowest common multiple of 3,8 and 14 is 168 days

We can conclude that the agreement between the numerical and analytical solutions improves as the integration time step decreases.  

Consider the following system: with initial condition u = 2 at time t = 0. To obtain the closed-form solution for u(t), \([math]\frac{du}{u}=-\frac{dt}{3}[/math]∫[math]\frac{du}{u}=-\int\frac{dt}{3}[/math]ln|u| = -t/3 + C1.\).

Rearranging the equation, we have; u = Ce^(-t/3)where C = ±2. To determine the value of C, we use the initial condition u(0) = 2;2 = Ce^(0)C = 2

We then plot the time evolution of u(t) for 0 ≤ t ≤ 2, superimposing all 4 methods and the closed-form solution. The following figure shows the results of the numerical integration methods and the closed-form solution.

Figure: Numerical integration of u(t) using four different methods and varying integration time steps From the figure, we can observe that as the integration time step decreases,

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There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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The P(X<115) is equal to c) 0.04. To calculate this probability, we need to standardize the height of 115 cm by subtracting the mean (150 cm) and dividing it by the standard deviation (20 cm). This gives us a standardized score of -2.75.

Next, we can use a standard normal table to find the probability that a standard normal random variable is less than -2.75. The value in the table for this probability is approximately 0.004.

Finally, we multiply this value by 100% to get the answer in terms of percentage. So, the final answer is 0.004 * 100% = 0.04 or 4%.

In summary, P(X < 115) = 0.04 or 4%, which means that 4% of middle school students in this set have a height of less than 115 cm.

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The complete question is attached below.

Answer:

19, 23, 27, 31, 35,

Step-by-step explanation:

It's +4 each time.

Answer:

3/4

Step-by-step explanation:

18 + 6 = 24

So 18/24 times you would get the blue marble.

simplified would be 3/4

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

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Answer:

2.5

Step-by-step explanation:

Answer:

y = - \(\frac{5}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{5}{2}\) x - 2 ← equation of line

Answer:

\((a)\ (x+6)^2 + (y-5)^2 = 25\)

\((b)\ Area = 16.75cm^2\)

Step-by-step explanation:

Solving (a):

Given

\((a,b) = (-6,5)\)

\(r = 5\)

Required

The equation of the circle

This is calculated as:

\((x-a)^2 + (y-b)^2 = r^2\)

So, we have:

\((x--6)^2 + (y-5)^2 = 5^2\)

\((x+6)^2 + (y-5)^2 = 25\)

Solving (b):

Given

\(r = 8cm\)

\(\theta = 30^o\) --- Missing from the question

Required

The area of the sector

This is calculated using:

\(Area = \frac{\theta}{360} * \pi r^2\)

So, we have:

\(Area = \frac{30}{360} * 3.14 * 8^2\)

\(Area = \frac{1}{12} * 200.96\)

\(Area = 16.75cm^2\)

Answer:

yes

Step-by-step explanation:

Answer:Height:  

15.8  meters

Explanation: For a rectangular prism:  XXX  Volume  =  height  ×  width  ×  depth  and  XXX  Area (of base)  =  width  ×  depth  ⇒  height  =  Volume  Area  =  306.52

19.4  =  15.

Answer:  100 CUBIC METERS

Step-by-step explanation:

Answer:

80 mph

Step-by-step explanation:

2880 miles/36 hours = 80 mph

Answer: see below

Step-by-step explanation:

Use the Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B

Given:                                    A + B + C = π

Subtract C:                            A + B = π - C

Multiply by 4:                     4(A + B = π - C)

Distribute:                          4A + 4B = 4π - 4C

Apply cosine:             cos (4A + 4B) = cos (4π - 4C)

Difference Identity:    cos (4A + 4B) = cos (4π)· cos (4C) + sin (4π) ·sin (4C)

Simplify:                      cos (4A + 4B) = 1 · cos (4C) + 0 ·sin (4C)

                              →   cos (4A + 4B) = cos (4C)   ←

Answer:

3 minutes each cupcake

Step-by-step explanation:

120 minutes divided by 40 = 3 minutes each cupcake

Answer: 29.5735 is 1 ounces in ml

There is 0.0338 ounces in 1 ml (Using Units).

What are units?

Units are the tools to measure and compare different things. Comparison becomes easy when all the units for the measurement are the same.  Different units can be classified depending on their use.

There are two type of units

1. Fundamental Units: Fundamental units are all those units that do not depend on any other unit (including themselves). These units cannot be further reduced to the elementary level. In fact, these are elementary units. Only seven fundamental units exist in Metric System or SI system which are

Length (meter, m)

Mass (kilogram, kg)

Time (second, s)

Temperature (kelvin, K)

Amount of substance (mole, mole)

Electric current (ampere, A)

Luminous intensity (candela, cd)

2. Derived units:These units are all those units that are obtained by multiplying and/or dividing one or more fundamental units with or without introducing any other numerical factor. These units can be reduced to their elementary level, which is composed of fundamental units. There exist a large number of derived units in the Metric System.

Examples:

Velocity (m/s)

Acceleration (m/s2)

Momentum (kg-m/s)

Force (N)

Density (kg/m3)

Heat (J)

Energy (J)

Power (W), etc.

Now, To change 1ml to ounces

divide 1ml by 29.574 this will give us value in ounces

Therefore, 1ml/29.574= 0.0338 ounces

hence,

           There is 0.0338 ounces in 1 ml.

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Answer:

2 is the equivalent to the expression

750 mL is equivalent to 25.36 oz.

When measuring liquids, the metric system and the US customary system are commonly used. In the metric system, the standard unit of measurement for liquids is milliliters (mL) and in the US customary system, it's ounces (oz).

To convert between these units, you can use a conversion factor.

One way to convert mL to oz is to use the conversion factor of 1 oz = 29.5735 mL. To find the number of ounces in 750 mL, you can use this conversion factor to set up an equation:

750 mL = x oz

Where x is the number of ounces you want to find. To solve for x, you can divide both sides of the equation by the conversion factor:

x = 750 mL / 29.5735 mL/oz

x = 25.36 oz

It's important to note that this is an approximation and for more accurate measurements, you should use an online calculator or consult a chart.

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Answer:

Each of them will have 0.8 kg of the candy.

Step-by-step explanation:

Don't have one sorry!

The slopes of perpendicular lines are opposite reciprocals.

For the given function:

Solve y to identify the slope (y=mx+b, m is the slope)

The slope of the perpendicular line to the given function is 5/6. For the given options the equation with slope 5/6 is: B. 6y=5x+3

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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Answer:

1 cm = 100 m

Explanation:

The conversion factor to go from cm to m is

1 cm = 0.01 m or

1 m = 100 cm

Additionally, the conversion factor from km to m and from dm to m is:

1 km = 1000 m

1 dm = 0.01 m or 1 m = 10 dm

Therefore, the incorrect conversion factor is:

1 cm = 100 m

Because 1 cm is smaller than 1 m

The set [1 0 −3 , −3 1 6 , 1 −1 0] is not a basis for set of real numbers R cubed(ℝ3).

The reason why it is not a basis is because it is not linearly independent. However, the set does span set of real numbers R cubed(ℝ3).To determine if the given set is a basis for set of real numbers R cubed(ℝ3), we need to test for linear independence and for span.Linear independence

The given set is said to be linearly independent if and only if the only solution to the equation a[1 0 −3] + b[−3 1 6] + c[1 −1 0] = [0 0 0] is the trivial solution where a, b and c are constants.If the given set is linearly independent then it is a basis for R3; if it is not linearly independent, it is not a basis for R3.

SpanThe given set is said to span R3 if every vector in R3 can be written as a linear combination of vectors in the given set.

If the given set spans R3, then it can be considered a basis for R3.For us to test if the given set is linearly independent, we can form a matrix by placing the three given vectors into the columns of a 3 x 3 matrix as follows:[1 0 1] [−3 1 −1] [−3 6 0]

By expanding the determinant of the matrix above, we get: det(A) = 0 - 0 - (-3) = 3

Since the determinant is non-zero, we can say that the given set is linearly independent. Since the given set is linearly independent, we can then use it to span R3. Hence the given set does not form a basis for R3 but it is linearly independent and spans R3.

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Therefore, the angle at which the ellipse x² + 3y² = 12 is seen from the point M (0,4) is -30 degrees.

An ellipse is a geometric shape that resembles a stretched or squished circle. It can be defined as the set of all points in a plane, such that the sum of the distances from two fixed points, called the foci, is constant. An ellipse has two axes, a major axis and a minor axis, which intersect at the center of the ellipse. The length of the major axis is twice the distance from the center to one of the foci, while the length of the minor axis is twice the distance from the center to one of the points where the ellipse intersects the major axis. Ellipses have many applications in mathematics, physics, and engineering. They are used to model the orbits of planets and satellites, as well as the paths of objects in electric and magnetic fields. They are also used in optics to describe the shape of lenses and mirrors, and in statistics to model data distributions.

Here,

To determine the angle at which the ellipse x² + 3y² = 12 is seen from the point M (0,4), we first need to find the equation of the tangent line to the ellipse at the point (0,4).

To do this, we take the derivative of the equation of the ellipse with respect to x and evaluate it at the point (0,4):

d/dx (x² + 3y²) = 2x + 6y(dy/dx)

At the point (0,4), we have x = 0 and y = 4, so the equation becomes:

0 + 6(4)(dy/dx) = 0

Solving for dy/dx, we get:

dy/dx = 0

This means that the tangent line to the ellipse at the point (0,4) is a horizontal line passing through the point (0,4).

Now we can find the angle at which the ellipse is seen from the point M (0,4) by finding the angle between the horizontal tangent line and the line connecting the point M to the origin. This angle is given by:

tan θ = (y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) = (0,4) is the point M and (x₂, y₂) is the point where the tangent line intersects the x-axis.

Since the tangent line is horizontal, it intersects the x-axis at the point (±2√3, 4), which are the x-intercepts of the ellipse. Choosing the positive x-intercept, we have:

x₂ = 2√3

y₂ = 0

Substituting these values into the formula for the tangent, we get:

tan θ = (0 - 4)/(2√3 - 0) = -2/2√3 = -1/√3

Taking the inverse tangent of both sides, we get:

θ = -30 degrees

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Rounded to the nearest whole number, the container is approximately 52% full.

To find the percentage that the shipping container is full, we need to compare the volume of the shipped goods to the total volume of the container.

Given dimensions:

Length = 35 ft

Width = 8 ft

Height = 9 ft 9 in

We need to convert the height to feet by dividing the inches by 12:

Height = 9 ft + (9/12) ft = 9.75 ft

Total volume of the container:

Volume = Length × Width × Height

Volume = 35 ft × 8 ft × 9.75 ft

Volume = 2730 ft³

Volume of the shipped goods:

Given as 1420 ft³

To find the percentage filled, we divide the volume of the shipped goods by the total volume of the container and multiply by 100:

Percentage filled = (Volume of shipped goods / Total volume of container) × 100

Percentage filled = (1420 ft³ / 2730 ft³) × 100

Percentage filled ≈ 52.0%

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Answer:

x = 20°

Step-by-step explanation:

Quantitative type of variable is the number of robberies reported in your city.

The number of robberies reported in your city is a quantitative variable because it represents a numerical measurement or quantity.

It involves the collection of numeric data that quantifies the frequency or amount of a specific event (in this case, the number of robberies) occurring in your city.

More specifically, it is a continuous variable. Continuous variables are characterized by being able to take on any value within a certain range. In the case of the number of robberies reported, it can have decimal or fractional values.

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