find the value of 3+4(16-9),49 58 31

The equation is c = 31 + 0.13x and total cost on driving 180 miles is $54.4.

Firstly we will form the equation using one time charge and the product of number of miles and charge per mile. Then we will keep the value in equation to find the total cost.

Forming the equation -

c = 31 + 0.13x

Keep the value of x in formula for calculation of total cost.

c = 31 + 0.13×180

Performing multiplication on Right Hand Side of the equation

c = 31 + 23.4

Performing addition on Right Hand Side of the equation

c = $54.4

Thus, the equation for calculation of total cost is c = 31 + 0.13x and total cost is $54.4.

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Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

12

Step-by-step explanation:

2a + 2b is 2 times a + b

Therefor, the answer will be 2 times the sum of a+b

6x2 = 12

Answer:

Los Angeles

Step-by-step explanation:

If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.

Answer:

1579.5

Step-by-step explanation:

i think ...

81 x 39 =3159 / 2 (because there are 2 sides )=1579.5

Answer:

Step-by-step explanation:

So step one

1. Master all the values

2. given the value 2x+ y=4

then

       look at missing gap and it is in the area of y

       so,                                2x + y =4

                                           2x -1 + y = 4

                                             -2 +y = 4 (so in the next step the-2 will move

                                              y =4 +2       to the right and then turn positive.)

                                              y =2

So this is the first answer of the first gap

then

      2x + y = 4

      2 x 2 + y = 4

      4 + y = 4     (So we use the same step as the one before and move 4 to

        y = 4-4        the other side and then turn negative.)

         y = 0

(we are going well and we are left with only one more)

        2x + y = 4

        2 x 4 + y =4

          8 + y = 4        (you know what to do in the next step)

        y = 4-8

        y = -4

The relation between the events Y and W prevents us from completing the analysis.

The relation between the events Y and W prevents us from completing the analysis.

Case 1: W is more likely than Y then we have the following analysis:

Z, X, Y, and W are arranged in ascending order of more likeliness.

Case 2: Y is more likely than W then we have the following analysis:

Z, X, W, and Y are arranged in ascending order of more likeliness.

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Answer:

formula for area of a circle = πr²

πr² = 92cm² first circle

πr² = 62cm² second circle

now to find the radius of a circle having the sum of the other circle.

πr² = 92 + 62

3.142 × r² = 154

r² = 154/3.142

r² = 49.013

take square root of both sides

r = √49.013

r = 7.000cm ≈ 7cm

The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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To compute a basis of the eigen space corresponding to eigen value -2, we need to find the null space of the matrix A + 2I, where A is the 3x3 matrix and I is the identity matrix.

The null space will give us the basis vectors of the eigen space

To find the eigen space corresponding to the eigen value -2, we start by constructing the matrix A + 2I, where A is the given 3x3 matrix and I is the 3x3 identity matrix. Next, we solve the homogeneous system of linear equations (A + 2I)x = 0, where x is a vector. The solutions to this system form the null space of the matrix A + 2I.

By finding a basis for this null space, we can obtain the basis vectors of the eigen space corresponding to the eigen value -2.

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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Its area includes all Sahara's locations in North Africa, South Arabia, Iran's and Iraq's larger parts, North-Western India, California throughout the United States, South Africa but most of Australia.

Half-arid temperatures include places like the Utah, Montana, and Gulf Coastal regions of sagebrush. Also, it comprises regions in Iceland, Russia, Scandinavia, Greenland, and Northeast India. Semi-arid thankless than tube called per year of rain and up to 20 inches per year at much more than arid deserts.

Regions from of the latitude of 25° to 35° usually develop desert, because air sinks and is heated under pressures in this area. The world's dry and semi-arid desert regions are between 20°C and 35°C north latitude and between 20°C and 35°C South latitude.

Answer: x=3 y=-5

Step-by-step explanation:

2x + 3 =15

the answer is x=6 !!

Answer:

x = 6

Step-by-step explanation:

2x + 3 = 15

2x = 15 - 3

2x = 12

2x/2 = 12/2

x = 6

Answer:

\(Probability = \frac{7}{253}\)

Step-by-step explanation:

Given

\(Orange = 7\)

\(Green = 6\)

\(White = 1\)

\(Black = 7\)

\(Yellow = 2\)

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

\(P(Yellow) = \frac{n(Yellow)}{Total}\)

\(P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}\)

\(P(Yellow) = \frac{2}{23}\)

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

\(P(Orange) = \frac{n(Orange)}{Total - 1}\)

\(P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}\)

\(P(Orange) = \frac{7}{22}\)

The required probability is calculated as thus:

\(Probability = P(Yellow) * P(Orange)\)

\(Probability = \frac{2}{23} * \frac{7}{22}\)

\(Probability = \frac{14}{506}\)

\(Probability = \frac{7}{253}\)

Since half of the diagonal of the square is 10, that means the whole diagonal is 20.

Area of the square = \(\frac{1}{2} *(20)^{2} =200\)

Thus the area is 200. Hope that helps!

Solution:

Given:

To find the diagonal, multiply half the diagonal by 2.

We also know that the sides of the square are equal. Let's use Pythagoras theorem to solve for the side length (c).

Square the side length to obtain the area of the square.

The area of the square is 200 units²

Answer:

120 student

Step-by-step explanation:

We know

45% of the students take the bus to school

100% - 45% = 55%

So, 55% travel by car or walk to school

400 x 0.55 = 220 students

So, 220 student travel by car or walk to school

We know

20 more students walk than travel by car

220 - 20 = 200 students

200/2 = 100 students

100 + 20 = 120 students

So, 120 students walk to school

Answer:

(x+1),(x+3),(x+5)

Step-by-step explanation:

may be this answer helps to solve the problems

There are 6 ways to choose two rotten apples out of a sample of three.

What is algebra ?

Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include the manipulation of equations and formulas using the rules of arithmetic, the solution of equations, and the study of the properties and behaviors of functions.

There are two rotten apples out of 15 total apples, so the probability of choosing a rotten apple is 2/15. The probability of choosing two rotten apples out of a sample of three is (2/15) * (1/14) * (3 choose 2) = (2/455) * 3 = 6/455. So there are 6 ways to choose two rotten apples out of a sample of three.

Hence , There are 6 ways to choose two rotten apples out of a sample of three.

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Answer: x = 133 degrees

Step-by-step explanation:

Well this problem becomes a lot easier when you break it down into steps and understand parallel lines and the angles that are formed from them.  We are trying to work out what x would be so the first step would be to find an easy way to accomplish this.  If you know the different types of angles that are formed from parallel lines we would know that corresponding angles are = to each other.  This means that the 47 degree angle is the same as the angle directly above this, which I hope you too can visualize in the image as well.  Since this new 47 degree angle that we figured out is right next to the angle we want to find out the value for the next step is quite simple.  Since we of course know that a straight line is 180 degrees we just need to subtract 47 from 180 to find this x value as it would be whatever forms a straight line.  180-47=133 so the answer is x = 133 degrees.  I hope this has helped you and please do no hesitate to ask further follow up questions!  Have a wonderful rest of your day :)

Answer:

A^2+B^2= C^2 or A+B=C

Step-by-step explanation:

Hope this helps

Answer:

x = 5 - y/3

Step-by-step explanation:

To be 94% confident that the true mean IQ is within 2 points of the sample mean, you must obtain a sample of at least 199 individuals.

To determine how large a sample must be obtained to be 94% confident that the true mean IQ is within 2 points of the sample mean, we will use the following terms: confidence level, margin of error, and standard deviation. We will also need the z-score corresponding to the desired confidence level.

Step 1: Identify the confidence level, margin of error, and standard deviation
Confidence level: 94%
Margin of error: 2 points
Standard deviation (σ): Since it's not provided, we will use a common value for IQ, which is 15 points.

Step 2: Find the z-score corresponding to the 94% confidence level
A 94% confidence level has a z-score of approximately 1.88 (you can find this value in a z-score table or using a calculator).

Step 3: Use the formula for sample size
n = (z * σ / E\()^2\)
n = (1.88 * 15 / 2\()^2\)
n = (28.2 / 2\()^2\)
n = \((14.1)^2\)
n ≈ 198.81

Step 4: Round appropriately
Since we can't have a fraction of a person in a sample, round up to the nearest whole number. In this case, the sample size should be 199.

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Answer:

<d = 25 degrees and <e = 130 degrees

Step-by-step explanation:

We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.

<d = 25 degrees

The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:

<e = 180 - 25 - d

<e = 155-25

<e = 130 degrees

Answer:

<d = 25 degree and <e = 130 degree

Step-by-step explanation:

Let <d, <e and <f be the respective angles

<f = 25 degree (Vertically opposite angles are equal)

side fe = side ed (given)

Therefore, <f = <d (angles opposite to equal sides are equal)

Therefore, <d = 25 degree

<d + <e + <f = 180 degrees (Angle sum property)

25 + 25 + <e = 180

50 + <e = 180

<e = 180 - 50

<e = 130 degree

Therefore, <d = 25 degree and <e = 130 degree

Hope u understood

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Answer:

1 pound = 16 ounces

3 × 16 = 48 ounces

48 + 12 = 60

60 ÷ 6 ounces a week = 10 weeks

Answer:

2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Answer:

4 inches

Step-by-step explanation:

slant height = 3, surface area = 40.

let L = length of one side (since it's a square, it will be L for each edge of the base).

surface area = base + 4 sides of triangles

= L² X 4 (0.5 X base X height)

= L² X 4(0.5 X L X 3)

= L²+ 6L.

But surface area = 40.

So L² + 6L = 40.

Subtract 40 from both sides:

L² + 6L - 40 = 0.

Use the quadratic formula:

L = ((-b ± √(b² - 4ac)) ÷ 2a)

where a is the value of the first coefficient, b is value of the second and c is value of the constant.

L = ((-6 ± √(6² - 4(1)(-40))) ÷ 2(1))

= ((-6 ± √(36 + 160)) ÷ 2)

= (-6 ± 14) ÷ 2

= (-6 + 14) ÷ 2 or (-6 - 14) ÷ 2

= 4 or -10.

So L = 4 or -10. But L is a length, so it must be positive. So L = 4.  

Length = 4 inches

The rules describes the transformation is (x, y)(x, y).

The correct option is (B)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

If the figure is rotated 360 degrees then the coordinates remains unchanged.

This is because when from where it started it stops there again.

As the 360 degree rotation is complete circle rotation.

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