help PLSSSSSSSSSSSSSSS

Answer:

x = 0 or x = 1/4

Step-by-step explanation:

You are able to factor out 3x² from 12x³ - 3x² to get 3x²(4x-1).

Set everything to zero and solve.

The measure of angle b is 108 degree.

An equilateral triangle is a plane figure with at least three straight sides and angles, and usually five or more. A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

The total interior angles will equal to 180 * (6 - 2) = 720°.

∠B = 720 - 170 - 133 - 102 - 117 - 90 = 108°.

Learn more about equilateral triangle at:

brainly.com/question/2456591

#SPJ4

Answer:

6

Step-by-step explanation:

Answer:

96 cm²

Step-by-step explanation:

Area of a parallelogram A = bh where b = base = 12 cm and h = height = 8 cm.

So, A = 12 cm × 8 cm

A = 96 cm²

So, the area of the parallelogram with base 12 cm and height 8 cm is 96 cm².

According to the right-hand rule for the force on a current-carrying wire in a magnetic field, the direction of the force is perpendicular to both the direction of the current and the direction of the magnetic field.

The direction of the force acting on the wire can be determined using the right-hand rule for the force on a current-carrying wire in a magnetic field. According to the right-hand rule:

Point the fingers of your right hand in the direction of the current (from right to left).

Curl your fingers towards the direction of the magnetic field (out of the page).

Your thumb will now point in the direction of the force.

Therefore, the direction of the force on the wire will be upwards, perpendicular to both the current and the magnetic field.

Since the force is perpendicular to the plane of the page, the answer would be (E) up, in the plane of the page.

To know more about right-hand rule visit:

https://brainly.com/question/9750730

#SPJ11

The integral of \(x^3/\sqrt(x^2+4)\) using trigonometric substitution is: \(8 * (1/3)tan^2\theta(1 + tan^2\theta)^(3/2) + C\), where θ is determined by x = 2tanθ, and C represents the constant of integration

What is integration?

Integration is a fundamental concept in calculus that involves finding the integral of a function.

To integrate the function \(\int(x^3/\sqrt(x^2+4))\) dx using a trigonometric substitution, we can use the substitution x = 2tanθ. Let's go through the steps:

Substitute x = 2tanθ. This implies \(dx = 2sec^2\theta d\theta.\)

Rewrite the integral in terms of θ:

\(\int((8tan^3\theta)/(\sqrt(4tan^2\theta+4))) * 2sec^2\theta d\theta.\)

Simplify the expression inside the square root:

\(\int((8tan^3\theta)/(2sec\theta)) * 2sec^2\theta d\theta.\\\\\int(8tan^3\theta) * sec\theta d\theta.\)

Simplify further:

\(16\int tan^3\theta sec\theta d\theta.\)

Apply the trigonometric identity: \(sec^2\theta = 1 + tan^2\theta\). Rearranging, we get: \(sec\theta = \sqrt(1 + tan^2\theta).\)

Substitute \(sec\theta = \sqrt(1 + tan^2\theta)\) in the integral:

\(16\int tan^3\theta * \sqrt(1 + tan^2\theta) d\theta.\)

Let u = tanθ, which implies \(du = sec^2\theta d\theta\). We can rewrite the integral in terms of u:

\(16\int u^3 * \sqrt(1 + u^2) du.\)

Now we have a rational power of u. We can use the substitution \(v = 1 + u^2\) to simplify it:

\(v = 1 + u^2\), which implies dv = 2u du.

Rewrite the integral using v:

\(16\int (u^3 * \sqrt v) * (1/2u) dv.\\\\8\int (u^2\sqrt v) dv.\)

Simplify and integrate:

\(8\int (u^2\sqrt v) dv = 8\int(u^2 * v^{(1/2)}) dv = 8\int u^2v^{(1/2)} dv.\)

Integrate \(u^2v^{(1/2)\) with respect to v:

\(8 * (1/3)u^2v^{(3/2)} + C.\)

Replace v with \(1 + u^2\):

\(8 * (1/3)u^2(1 + u^2)^{(3/2)} + C.\)

Substitute u = tanθ back into the expression:

\(8 * (1/3)tan^2\theta(1 + tan^2\theta)^{(3/2)} + C.\)

So, the integral of \(x^3/\sqrt(x^2+4)\) using trigonometric substitution is:

\(8 * (1/3)tan^2\theta(1 + tan^2\theta)^{(3/2)} + C,\)

where θ is determined by x = 2tanθ, and C represents the constant of integration

To learn more about integration visit:

https://brainly.com/question/30094386

#SPJ4

Note that the the equation of the second line is y - 2 = (-1)(x - 0). The system of equations has no solutions, since the lines do not intersect.

One way to approach this problem is to find the slope of the line that passes through (0, -3) and (2, 0), which is:

slope = (0 - (-3))/(2 - 0) = 3/2

Then, we can use point-slope form to write the equation of this line:

y - (-3) = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x - 3

Now, we need to find a line that goes through (0, 2) and has a different slope than the first line. One way to do this is to choose a point that is not on the first line, say (1, 1), and use it to find the slope of the second line:

slope = (2 - 1)/(0 - 1) = -1

Then, we can use point-slope form again to write the equation of the second line:

y - 2 = (-1)(x - 0)

Simplifying, we get:

y = -x + 2

Now, we have two equations:

y = (3/2)x - 3

y = -x + 2

We can solve for the point of intersection by setting these two equations equal to each other:

(3/2)x - 3 = -x + 2

Simplifying and solving for x, we get:

x = 8/5

Substituting back into either equation, we get:

y = (3/2)(8/5) - 3 = -3/5

Therefore, the system of equations has no solutions, since the lines do not intersect.

Learn more about system of equations at:

https://brainly.com/question/24065247

#SPJ1

The fuel consumption per liter of Lilly's car is  12.5 kilometers per liter .

Average mileage The average mileage of a vehicle is the ratio of the distance traveled by the vehicle and the total amount of fuel used for that distance.

You can specify:

where (d) is the distance traveled and (n) is the fuel consumption.

Lily's car consumes 8 liters per 100km. This is your car's mileage or efficiency.

average mileage = 100/8 = 12.5 kilometers per liter

Therefore, the fuel efficiency in kilometers per liter of a Lily car with a fuel efficiency of 8 liters per 100 kilometers is 12.5 kilometers per liter.

Complete Question - Lily’s car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily’s car in kilometers per liter ?

Learn more about average mileage here.

https://brainly.com/question/10785300

#SPJ4

Answer:

65

Step-by-step explanation

Just did it on egde

1. if c is 54 and d is 48; k = -11.11%

2. if a is 52 and k is 22; d = 66.67

3. if c is 25 and k is 18; a = 16.81

4. if k is 15; w = 0.7225

5. if w is 19; k = 56.4%

Percentage refers to the fraction of a number that is expressed as a number out of hundred. The sign used to represent percentages is %.

1.

k = (d/c - 1) × 100

= (48/54 - 1) × 100

k = -11.11%

2.

d = a/(1 - k%)

= 52/(1-22%)

= 52/0.78

= 66.67

3.

d = (1 - 0.18) x 25

= 20.50

a = (1 - 0.18) x 20.50 = 16.81

4.

w = (1 - 0.15) x (1-0.15)

= 0.85 x 0.85

= 0.7225

5.

k = (1 - √0.19) × 100

= 56.4%

Read more on percentage:

https://brainly.com/question/19583335

#SPJ1

On solving the provided question we can say that as a result, the system of equations' solution is: x = 12.62 and y = 4/13

A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions.

We wish to eliminate one of the variables, either x or y, by adding or subtracting the two equations to solve this system of equations using the elimination technique. To do this, multiply one or both equations by a constant factor such that one of the variables has the same coefficient in both equations but with opposite signs.

By multiplying the first equation by 5 and adding it to the second, we can remove x. This results in:

5x - 10y = 60

5x + 3y = -44

-13y = -4

y = 4/13

We may now plug this y value into one of the original equations to find x. Let's look at the first equation:

x - 2y = 12

x - 2(4/13) = 12

13x - 8 = 156

13x = 164

x = 12.62

As a result, the system of equations' solution is:

x = 12.62 and y = 4/13

To know more about equation visit:

https://brainly.com/question/27893282

#SPJ1

Answer:

Growth by 50%

Step-by-step explanation:

Growth, because it is higher than 1 and the percentage rate is 50% increasing.

Because growth is (1 +r) decay is (1-r).

Answer:

growth; 50%

Step-by-step explanation:

growth because b>1

1.5>1

Using the formula for exponential functions, subtract 1.

1.5 - 1 = 0.5

To find percentage, multiply by 100.

0.5 x 100 = 50%

The expression for area of the rectangle is  1/ 6 ( 46x - 23)

The formula for determining the area of a rectangle is expressed as;

Area = length × width

From the information given, we have:

Now, let's substitute the values into the formula

Area = (12x - 6) 23/ 6

expand the bracket

Area = 276x - 138/ 6

Area = 1/ 6 ( 46x - 23)

Thus, the expression for area of the rectangle is 1/ 6 ( 46x - 23)

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

The number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic equation is 8x² + 80x = −5

On adding and subtracting 200 on both sides, we have

8x² + 80x + 200 = −5 + 200

8 (x² + 10x + 25) = −5 + 200

Thus, the number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). B stands in for the y value of the y-intercept point in the formula.

Determine the equation of the line with a slope of 2/3 and a y intercept of (0, 4).

Solution

Step 1: Replace the provided in the formula.

Provided that the slope, m, is given as 2/3 and the y intercept, (0, 4), b = 4.

y = mx + b

y = 2 3 x + 4

2 /3 x – y = - 4

(Note: You must multiply this by the LCD of 3 to fix this since the conventional form does not support fractional numbers.)

3( 2 /3x – y) = (- 4) (- 4)

3/2x – 3y = - 12

This is the line's determined equation.

Verify is the second step.

Utilizing the formula, plot two points. In this example, y1 = 2 and Y2 = -6. 2x - 3y = - 12 2x – 3y = - 12

Let y = 2 Let y = - 6

2x – 3(2) = - 12 2x – 3(-6) = - 12

2x – 6 = - 12 2x + 18 = - 12

2x = - 6 2x = - 30 \sx = - 3 x = - 15

P1 therefore equals (-3, 2) and P2 equals (-15, -6).

To Learn more About slope intercept refer to:

https://brainly.com/question/25826868

#SPJ4

Step-by-step explanation:

30 days period multiply by 7 days

=210 therefore our answer is =210

Answer: The answer is 14 by applying the slope formula

Step-by-step explanation:

For example, we can use the points (3.75,52.50) and (5.5,77)

When would then use the slope formula;

M=\(\frac{77-52.5}{5.5-3.75}\), then simplify \(\frac{24.5}{1.75}\), and then get 14

Andrew earns a total of 14$ per hour

The height of the  building which casts a 103-foot shadow is 95.5 foot.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow

We need to find the height of the building.

Let us consider x be the height of building.

Form a proportional equation.

x/103=32/34.5

Apply cross multiplication

34.5x=32×103

34.5x=3296

Divide both sides by 34.5

x=3296/34.5

x=95.5

Hence, 95.5 foot be the height of the  building which casts a 103-foot shadow.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ9

The expression for the above statement =  (7x + 5)/(- 2x + 11)

The correct option is C.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout nearly all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

let a number be x

Consequently, the result of seven times a number plus five is

7x + 5

Moreover, add the negative sums of two times the number and eleven.

- 2x + 11

Now, you can write the sentence "the total of seven times a number and five, divided by the sum of negative two times the number and eleven" as

(7x + 5)/(- 2x + 11)

The expression for the above statement =  (7x + 5)/(- 2x + 11)

To know more about algebra visit:

https://brainly.com/question/10791091

#SPJ4

I understand that the question you are looking for is :

Write the expression "the sum of seven times a number and five, divided by the sum of negative two times the number and eleven" using algebra. choose the correct phrase below.

A. (–2x + 11) ÷ (7x + 5)

B. (–2x + 11) (7x + 5)

C. (7x + 5) (–2x + 11)

D. (7x + 5) ÷ (–2x + 11)

Answer:

the answer is (7x+5)/(-2x+11)

Step-by-step explanation:

the other answer is correct

About 4.96% of the student body are part-time transfer students at CSU. As a percentage, this is about 4.96% (since 0.37% is a fraction of 7.47%, which is the proportion of part-time students in the student body).

We know that:5% of CSU student body is transfer students80% of CSU student body is full-time students6% of full-time students are transfer students (which implies that 94% of full-time students are not transfer students).7% of part-time students are transfer students (which implies that 93% of part-time students are not transfer students).Multiplying this by the proportion of transfer students among part-time students (which is 7%) gives: 0.053 * 0.07 ≈ 0.00371, or about 0.37%.Therefore, about 0.37% of the student body are part-time transfer students at CSU. As a percentage, this is about 4.96% (since 0.37% is a fraction of 7.47%, which is the proportion of part-time students in the student body).

To find out the proportion of part-time transfer students in the student body at CSU, we need to use the information given in the question to set up some equations. We know that 5% of the CSU student body are transfer students, which implies that 95% of the student body are not transfer students. We also know that 80% of the CSU student body are full-time students, which implies that 20% of the student body are part-time students (since these are the only two types of students at CSU).Setting these equal to the proportion of the student body, which is 1, we get:0.05*(1-P)+0.07*P+0.8 = 1Simplifying and solving for P, we get: P ≈ 0.053From the equation above, the proportion of part-time students is about 5.3%. Multiplying this by the proportion of transfer students among part-time students (which is 7%) gives: 0.053 * 0.07 ≈ 0.00371, or about 0.37%.Therefore, about 0.37% of the student body are part-time transfer students at CSU.

To know more about percentage, visit :-

https://brainly.com/question/32197511

#SPJ11

The association of the graph scatterplot is a negative nonlinear association

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be scattered and they do not follow a particular direction

Also, we can see that

As the x values change, the y values do not follow a pattern

This represents a nonlinear association.

Hence, the association is a negative nonlinear association

Read more about scatter plot at

brainly.com/question/16920148

#SPJ1

The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

To know more about null hypothesis, here

https://brainly.com/question/14016208

#SPJ4

Answer:

Answer and Explanation: No,

Step-by-step explanation:

one-third is NOT more than one-half. One-half is more than one-third. Because the two fractions, 1/3 and 1/2, have the same numerator (remember, the numerator is the number on top), they are easy to compare.

Answer:

21:1

Step-by-step explanation:

84 / 4=21

Answer:

CDE=50 degrees ACD=100,BAC=30 degrees.

Answer:

cn<fr

Step-by-step explanation:

trust me bro

Answer: Cr<Fr

Step-by-step explanation:

if you look at the angle it gives you, you can tell which inequality is bigger.

Answer:

46,57/4

Step-by-step explanation:

area = π.r^2 = π.(d^2)/4

d^2 = AB^2= 5,6^2+3,9^2 =46,57

----> area = π.46,57/4

At least 2 candies to each person, we will first give each person 2 candies .Then we will distribute the remaining candies. The required equation is:Number of ways = C(c - p - 1, p - 1) = (c - p - 1)!/[p! (c - 2p)!]

Suppose we have p people and c candies. If we want to know how many ways we can give at least 2 candies to each person, we will first give each person 2 candies .Then we will distribute the remaining candies.

We can solve this problem by applying the stars and bars formula.Suppose we have k candies remaining, where k = c - 2p.

Then, we will have to distribute k candies among p people, which can be done using the stars and bars formula in p - 1 boxes.

So, the number of ways we can distribute c candies among p people if each person must get at least 2 candies can be given by the equation below:

Number of ways = C(c - 2p + p - 1, p - 1) = C(c - p - 1, p - 1)

Therefore, the required equation is:Number of ways = C(c - p - 1, p - 1) = (c - p - 1)!/[p! (c - 2p)!]

Learn more about equation  here:

https://brainly.com/question/29657983

#SPJ11