HELPPPP (COMLEX NUMBERS AND OPERATIONS


Write the expression 3i(2 - 5i)(4 + i) in the form a + bi.

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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Answer:

3:4

Step-by-step explanation:

3:4 because that's 15/20 reduced

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

2(x-8)=3(x+3)

2x-16=3x+9

x=-25

An articulated ladder should be utilized in a stepladder design for working on stairs. This structure is especially built for stairway safety and stability, with movable legs that can be placed to different heights to suit uneven stairs and give a level area for standing.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. The area of a planar figure is the space contained by its border. The number of unit squares that cover the surface of a closed form is the figure's area. The area is the region defined by an object's form.

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Step-by-step explanation:

no, it does not.

because almost every valid value of x (from -3 to +3) has 2 associated result values of y.

like x = 0 has y = 3 and y = -3.

but for a function there can be only ONE associated y value for every valid x value.

Answer:

Its b

Step-by-step explanation:

I had to use multiple apps to get this but im pretty sure its b, its definitly not A c or D. I have this exact same test.

Let's represent the two numbers as variables. Let the first number be x and the second number be y.

According to the given information, one number is 5 more than the other, so we can write the equation x = y + 5.

The second piece of information states that three times the first number plus twice the second number equals 30, which can be expressed as the equation 3x + 2y = 30.

To find the values of x and y, we can solve this system of equations simultaneously. By substituting the value of x from the first equation into the second equation, we have 3(y + 5) + 2y = 30.

Simplifying the equation, we get 3y + 15 + 2y = 30, which can be further simplified to 5y + 15 = 30.

By subtracting 15 from both sides of the equation, we have 5y = 15, and dividing both sides by 5, we get y = 3.

Substituting this value of y back into the first equation x = y + 5, we find x = 3 + 5, which gives x = 8.

Therefore, the two numbers are 8 and 3.

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The calculated length of the segment AD is 14

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

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

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The vector-valued function at each given value of t  is :

a) i

b)  1/√2i+9/√2j

c)−cos(θ)i+9sin(θ)j

d)  −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

The given problem is related to trigonometric Ratios of Angle, where there are six trigonometric ratios sine, cosine, tangent, cotangent, cosecant, and secant. Since it is given that a  vector valued function:

r(t)= cos(t)i + 9 sin(t)j

r(t)=cos(t)i+9sin(t)j

so ,  r(0)=  cos(0)i+9sin(0)j = i ( sine cos0 =1 and sin0 =0)

r(π/4) =  cos(0)i+4sin(0)j = cos(π/4)i+9sin(π/4)j

           = 1/√2i+9/√2j

r(θ−π)= cos(θ−π)i+9sin(θ−π)j= −cos(θ)i+9sin(θ)j

(π/6+△t)−r(π/6)= cos(π/6+△t)i+9sin(π/6+△t)j−cos(π/6)i−9sin(π/6)j

=  cos(π/6+△t)i−cos(π/6)i+9sin(π/6+△t)j−9sin(π/6)j

= −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

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Evaluate (If possible) the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.)

r(t)=cos(t)i+9sin(t)jr(t)

a)r(0)=?

b)r(π/4)=?

c)r(θ−π)=?

d)r(π/6+△t)−r(π/6)=?

Answer:

Sally is 27

Jenny is 18

Step-by-step explanation:

using algebra:

x+(x-9)= 45

x+x-9

2x-9=45

2x-9+9=45+9

2x=54

54÷2=27

Sally = 27

27-9 = 18

Jenny = 18

This should be it!

hope this helps :)

This is a summation notation also called the sigma notation.

In this case it means starting with k=0 what's the sum of (1+k!) for all integer k until 4

So we just need to find the sum 1+0!+1+1!+1+2!+1+3!+1+4!=5+1+2+6+24=8+30=38

Answer: The value of g(2) is larger than the value of g(-4).

Step-by-step explanation:

Answer:

The correct number is 24

Step-by-step explanation:

The grade point average received by hector is 3.75.

Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.

The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.

3 a and one is B received by Hector.

The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college

We have GPA= A+A+A+B/4

GPA=4+4+4+3/4

GPA= 15/4

GPA=3.75

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Complete question

Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0

Using the information provided, no triangle will be formed.

This is shown by, summing the angles

The number of triangles to be formed considering the given angles is achieved knowing the basic properties of triangle which is:

With this knowledge, we sum the angles of the triangle

= 112 + 54 + 16

= 182

No triangle is formed as the sum is not equal to 180 degrees

If the angles are summed to 180 degrees, this is a criterion of formation of unlimited number of triangle

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Answer:

Θ ≈ 28.07°

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = \(\frac{opposite}{hypotenuse}\) = \(\frac{8}{17}\) , then

Θ = \(sin^{-1}\) ( \(\frac{8}{17}\) ) ≈ 28.07° ( to the nearest hundredth )

There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.

To determine the number of combinations, we multiply the number of options for each category.

For the entree, we have 4 options to choose from.

For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.

This is calculated as 6! / (2!(6-2)!), which simplifies to

6! / (2!4!)

Similarly, for the dessert, we have 6 options to choose from.

To calculate 6 choose 2, we can use the formula for combinations:

n choose r = n! / (r!(n-r)!).

Plugging in the values, we have

6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.

Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.

Multiplying these numbers together, we get 4 × 15 × 6 = 144.

Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.

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The solution to this expression (√5 - 3√2)(√5 + 3√2) is equal to -13.

In Mathematics and Geometry, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:

a² - b² = (a + b)(a - b).

Where:

a and b represent numerical values (numbers or numerals).

Based on the information provided, we have the following mathematical expression:

(√5 - 3√2)(√5 + 3√2);

By comparison, we have the following:

(√5 - 3√2)(√5 + 3√2) = (a + b)(a - b)

a² - b² = (√5)² - (3√2)²

a² - b² = 5 - 18

a² - b² = -13.

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Answer:

You need to actually input the question

Step-by-step explanation:

yeah

Answer:

y=-2x+-3

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

-2 is our slope

-3 is our y-intercept

The probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

The probability of two independent events occurring simultaneously: rolling an odd number on a die and getting a head on a coin toss. To find the probability, we'll multiply the probabilities of each event.

1. Probability of rolling an odd number on a die:
There are 3 odd numbers (1, 3, 5) and 6 possible outcomes (1, 2, 3, 4, 5, 6). So the probability is 3/6, which simplifies to 1/2.

2. Probability of getting a head on a coin toss:
There are 2 possible outcomes (heads or tails), and 1 of them is heads. So the probability is 1/2.

Now, we'll multiply the probabilities: (1/2) * (1/2) = 1/4.

So the probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

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Answer: -5=2x+11

Step-by-step explanation:

3x-5=5x+11

subtract 3x to both sides

3x-5 - 3x =5x+11 - 3x

simplify

-5 = 2x +11

answer is -5=2x+11

Answer:

F

Step-by-step explanation:

Wrong answers

A. current price not doubled

B. price before is 150%, not current price

C. price is reduced by 33.3%, not 25%

D. price is 66.6% of price before

E. price before is 1.5 times greater, not current price

G. price is now 66.6% of price before

H price is 66.6%, not 75%

Answer:

C

Step-by-step explanation:

Using the given definition

x δ y = \(\frac{x+y}{x-y}\) , then

a δ (a - b)

= \(\frac{a+a-b}{a-(a-b)}\)

= \(\frac{2a-b}{a-a+b}\)

= \(\frac{2a-b}{b}\) → C

Answer:

495km

Step-by-step explanation:

180 km in 4 hours means x km in 11 hours.

Cross multiply and you'll find x as 495 km

Answer:

70 is the answer.

Step-by-step explanation:

180+240= 420

420 divided by 6 is 70