Problem
The recommended maximum speed for the German Autobahn expressway is
130 kilometers per hour.
Write an inequality that describes
kk, any speed slower than the recommended maximum speed.

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

The hydrostatic force is given by the integral of the force acting on

small horizontal strips from the base to the top of the triangle.

Response:

The given parameters are;

Base of the triangle = 6 m

Height of the triangle = 15 m

Acceleration due to gravity, g ≈ 9.8 m/s²

Weight density of water, ρ ≈ 1,000 kg/m³

Required:

Hydrostatic force on one side of the plate

Solution:

Considering a thickness, dx, having area, dA = y·dx

The pressure on the strip = ρ·g·x

Force on the strip, dF = ρ·g·x·y·dx

Using similar triangles, we have;

\(\dfrac{x}{15} = \dfrac{y}{6}\)

Which gives;

\(y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}\)

Therefore;

\(dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}\)

Which gives;

\(F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}\)

Therefore;

\(F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g\)

Which gives;

F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN

Learn more about hydrostatic force here:

https://brainly.com/question/14201809

Firstly, we need to find the volume.

The volume of a cylinder is the area of its base times its height.

The area of its base is the area of a circle:

Where r is the radius, which is half the diameter:

Sin the radius is 5 inches, the area of the base is:

And for the volume we have:

So, the volume of the cylinder is approximately 628.3 in³.

Since each in³ wieght about 0.13 ounces, we can multiply this value for the total volume in in³ for the total weight:

So, the weight is approximately 81.7 ounces.

Option A is correct answer

Answer:

option A i believe is correct

Step-by-step explanation:

 hope that helps you :)

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

The Mean Absolute Deviation over Months 3-6 is 5.

Correct answer is option C) 5

To calculate the Mean Absolute Deviation (MAD) over Months 3-6, we need to follow these steps:

Identify the errors for Months 3-6: The errors for Months 3-6 are 3, -5, 4, and -8.

Calculate the absolute value of each error: Taking the absolute value of each error gives us 3, 5, 4, and 8.

Find the sum of the absolute errors: Add up the absolute errors: \(3 + 5 + 4 + 8 = 20.\)

Divide the sum by the number of errors: Since there are 4 errors, we divide the sum (20) by 4 to get the average: 20/4 = 5.

Determine the Mean Absolute Deviation: The MAD is the average of the absolute errors, which is 5.

Therefore, the Mean Absolute Deviation over Months 3-6 is 5.

For more questions on Mean

https://brainly.com/question/1136789

#SPJ8

Answer: Length 50 ft, Width 50 ft

Step-by-step explanation:

I did guess and check to be honest also rsm

the area is 2500

The dimensions of 50 ft length and 50 ft width of the garden with the maximum area would be 2500 sq ft.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

Always a square has the largest area.

⇒ 200/4=50

P=2L+2W

200=2L+2W

100=L+W

L=100-W

A=L×W

A=(100-W)×W

A=100W - W²

This is a down-opening parabola, and its vertex is its highest point (h,k)

h=-b/2a

h=-100/[-2]

h=50

We find k by substitute h = 50 and k will be the maximum area

A=100×50-50²

A=5000-2500

A=2500

But from above we have A=50×50 and A=2500 sq ft

Hence, the dimensions of 50 ft length and 50 ft width of the garden with the maximum area would be 2500 sq ft.

Learn more about the Perimeter of the rectangle here:

brainly.com/question/15287805

#SPJ2

Answer: each movie costs 7$

Step-by-step explanation: 41-6=35 and you divide that by 5 which is 7

Answer:

each movie cost $7

Step-by-step explanation:

41 - 6 = 35

35 / 5 = 7

Answer: \(y=3(4)^x\)

Step-by-step explanation:

Substituting the coordinates of the points into the equation,

\(12=ab\\\\768=ab^4\\\\\implies \frac{768}{12}=b^3 \implies b=4\\\\\therefore 12=4b \implies a=3\\\\\therefore y=3(4)^x\)

Answer:

g = 36

Step-by-step explanation:

We have the equation \(\frac{g}{3}\) + 7 =19

Subtract 7 from both sides: \(\frac{g}{3}\) = 19 - 7 = 12

\(\frac{g}{3}\) = 12

Now, multiply by 3 to both sides: 3 × \(\frac{g}{3}\) = 3 × 12

g = 36

Answer:

Step-by-step explanation:

20x+5y=15

Subtract 20x from both sides.

5y=15−20x

Divide both sides by 5.

__5y_  = _15-20x_____

    5                5

y=  __15-20______

            5

Divide 15−20x by 5.

y=3−4x

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

To know more about values visit:

https://brainly.com/question/30145972

#SPJ11

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

Learn more about circle here

brainly.com/question/11878555

#SPJ4

Answer:

1 solutuion

Step-by-step explanation:

write out the equation then distribute everything that's in the parenthesis to 1/2 also combine like term on the other side of the equation. left with 5x+15-3/2=5x+6 . do 15-3/2 u get 13.5. subtract 6 on both sides left with 5x+7.7=5x. subtract 5x on both sides left with x=7.5

Answer:

3

Step-by-step explanation:

123,456,789

give me brainliest

Answer:

3  

if you remove the other numbers it's

3,000,000                                                                                                                    

The net capital gain is $19,500. To calculate the net capital gain(s) for Neil Chen, we need to consider the relevant transactions and deductions. Neil purchased a block of land with a house in 2005, rented it out until June 2018, and then demolished the house and subdivided the land into two blocks.

He constructed two new dwellings and rented them out starting from October 2019. Neil sold one of the dwellings in May 2021 and incurred selling costs. Additionally, he had capital losses from previous years. Based on these details, we can determine the net capital gain(s) by subtracting the total capital losses and selling costs from the capital gain from the sale.

To calculate the net capital gain(s), we need to consider the following components:

1. Calculate the capital gain from the sale: The capital gain is the difference between the sale price and the cost base. In this case, the sale price is $1,050,000, and the cost base includes the original purchase price ($820,000), construction costs ($450,000), and any other relevant costs associated with the property.

2. Deduct selling costs: Selling costs, such as agent commission, should be subtracted from the capital gain. In this case, the selling costs are $12,000.

3. Consider previous capital losses: Neil had capital losses from previous years totaling $31,500.

To calculate the net capital gain(s), subtract the total capital losses ($31,500) and selling costs ($12,000) from the capital gain from the sale. The resulting amount will represent the net capital gain(s) for Neil that is $19,500

Learn more about Net Capital Gain here:

brainly.com/question/28919911

#SPJ11

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

Learn more about expressions on

https://brainly.com/question/1859113

#SPJ4

Answer:

y = -6x - 2.

Step-by-step explanation:

x - 6y = 12

Gradient = 1/6

since the line is perpendicular to x - 6y = 12

its gradient will be -6.

hence its equation will also be:

y - 4 = -6(x - (-1))

y - 4 = -6x -6

y = -6x -2

Answer:

= 11-33+7

= 11+7-33

= 18-33

= -15

Step-by-step explanation:

if we multiple + by - then it becomes -

if we multiple - by - then it becomes +

by this way I have done

I hope this will help u .

Answer:

the answer should be d. {5, 6}

Step-by-step explanation:

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

no answer bcz w bff fgfthsrgffd

Answer:

∅=45°

Step-by-step explanation:

\(2sin\)∅=\(\sqrt{2}\)

\(sin\)∅=\(\frac{\sqrt{2} }{2}\)

∅=\(sin^{-1} (\frac{\sqrt{2} }{2} )\)

∅=45°

I hope this help you

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

To know more on cost

https://brainly.com/question/2082767

#SPJ4

Answer:

Step-by-step explanation:

56.1,12.1,23.6

Answer: 33.9cm

Step-by-step explanation: you know that AB and BC are the same lengths and because it is a right-angled triangle, you are going to use Pythagoras theorem.  a²+b²=c². So you will write this in a calculator:  √24² + 24²  and you will get your answer.

Answer:

c

Step-by-step explanation:

The line segment OD is congruent to line segment OB. Therefore, option C is the correct answer.

Equal chords of a circle are equidistant from the center of the circle.

From the given figure, AC=EF=9.07.

So, AC and EF are equal chords.

Since, the chords are equal, they are equidistance from center.

Then, OD=OB

Therefore, option C is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ7

You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .

The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.

The given question is related to probability and statistics.

Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.

The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.

To know more about probability refer:

https://brainly.com/question/13604758

#SPJ4