Find rand o complex numbers: (a) Z,= 1 (5) Z, - - 51 Zz = -5_5i 2-2i 2+2 i =

Answer:

6/10, 9/15, 12/20, 15/25, 18/30, etc so Edgar is wrong. 3/5 is not equivalent to 18/32

Step-by-step explanation:

(Gimme Brainliest Please)

Answer: 20

Step-by-step explanation:

Let the total number of pencils that Jackson has be represented by x.

Since 20% of his pencils are broken which equals 4. This can be written and represented in an equation as:

20% of x = 4

20/100 × x = 4

0.2x = 4

x = 4/0.2

x = 20

There are a total of 20 pencils

Answer:

21

20.7

20.23

20.22

20.102

20.005

Step-by-step explanation:

hope this helps!

Answer:

1.96428571429

Step-by-step explanation:

Answer:

55/28

Step-by-step explanation:

5×2+7/14+3/4

17/14+3/4

68+42/56

110/56

55/28

Using the triangle inequality theorem,

b - a < X < a + b

Hence,

17 - 4 < x < 17 + 4

13 < x < 21

Hence, the third side lies between 13cm and 21 cm

Answer:

Step-by-step explanation:

(5 - 1)/2 4/2= 2

(-3 + 7)/2= 4/2= 2

(2, 2) is the midpoint

Answer:

James = 1 year

Austin = 5 years

Step-by-step explanation:

Let James age = x

Let Austin's age = y

James is four years younger than Austin.

x = y - 4

If three times James age is increased by the square of Austin's age, the result is 28.

3(x - 4) + y² = 28

Hence,

Note: x = y - 4

Hence,

3y - 12 + y² = 28

3y + y² - 12 - 28 = 0

y² + 3y - 40 = 0

y² + 8y - 5y - 40 = 0

y(y + 8) - 5(y + 8 ) = 0

(y + 8)(y - 5)

y = -8

y = 5 years

x = y - 4

x = 5 - 4

x = 1 years.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The applicable rules of exponents are ...

  \(\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a\)

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

There is no question here.

Put the question in the replies of this answer and I'll gladly answer it for you.

Step-by-step explanation:

May I have brainliest please? :)

The area of the enclosed region is 83.4 square units.

To calculate the integral, first determine the limits, which will be the points where both curves meet.

The area will be integrated with respect to y.

In respect to y:

\(2x + y^{2}\) = 24

\(2x\) = 24 - \(y^{2}\)

\(x\) = 12 - \(\frac{y^{2} }{2}\)

Finding limits:

y = 12 - \(\frac{y^{2} }{2}\)

12 - \(\frac{y^{2} }{2}\) - y = 0

Multiply by 2 to facilitate calculations:

24 - \(y^{2}\) - 2y = 0

Resolving quadratic equation:

- \(y^{2}\) -2y + 24 = 0

- (\(y^{2}\) + 2y - 24 ) = 0

Divide both sides the same factor,

\(y^{2}\) + 2y - 24  = 0

Use Quadratic formula,

y = (-b ± \(\sqrt (b^{2} -4ac)\) ) / 2a

y = (-2 ± \(\sqrt{2^{2}-4*1*(-24) }\) ) / 2*1

y = (-2 ± \(\sqrt{4+96}\) ) / 2

y = (-2 ± \(\sqrt{100}\) ) / 2

y = (-2 ± 10 ) / 2

y = (-2 + 10 ) /2  ,     y = (-2 - 10 ) /2  

y = 8/2  ,                  y = -12/2

y = 4   ,                     y = -6

y = 4 and y = -6

Then, integral to calculate area will be with limits -6<y<4:

A = \(\int\limits^\) 12 - \(\frac{y^{2} }{2}\) - y dy

A = 12y - \(\frac{y^{3} }{6}\) - \(\frac{y^{2} }{2}\)

A = 12*4 - \(\frac{4^{3} }{6}\) - \(\frac{4^{2} }{2}\) - [12(-6) - \(\frac{-6^{3} }{6}\) - \(\frac{-6^{2} }{2}\) ]

A = 48 - 10.6 - 8 - [ -72 + 36 - 18 ]

A = 48 - 10.6 - 8 + 72 - 36 + 18

A = 83.4

Therefore,

The area of the enclosed region is 83.4 square units.

To learn more about Area problems visit :

brainly.com/question/17228091

#SPJ4

Answer: 3.78m

Step-by-step explanation: I hope that helps

Answer:

−426500

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6 - n = 6 - (-#) = 6 + n

3 (6n) = greatest value

Answer:

1/4 x 1/4 x 1/4

1/64

hope it helps

~Shoto Todoroki here~

Answer:

hope this helps :))

The standard parameterization for the tangent line to the curve r(t) at t=t0=2 is given by x = 4t0-4, y = 3t0-3, and z = 32t0^2.

To find the parametric equations for the tangent line, we need to determine the derivative of the curve r(t) and evaluate it at t=t0=2.

Taking the derivative of r(t), we have r'(t) = (4t)i + 2j + (12t^2)k.

Substituting t=t0=2 into r'(t), we get r'(2) = (8)i + 2j + (48)k.

The tangent line to the curve at t=t0=2 will have the same direction as r'(2). Thus, the parametric equations for the tangent line can be expressed as:

x = x0 + at, y = y0 + bt, and z = z0 + ct,

where (x0, y0, z0) is the point on the curve at t=t0=2 and (a, b, c) is the direction vector of r'(2).

Substituting the values, we have x = 4(2)-4 = 4t0-4, y = 3(2)-3 = 3t0-3, and z = 32(2)^2 = 32t0^2.

Therefore, the standard parameterization for the tangent line is x = 4t0-4, y = 3t0-3, and z = 32t0^2.

Learn more about tangent line here:

https://brainly.com/question/23416900

#SPJ11

Answer:

24x - 60

Step-by-step explanation:

p = 4a

p = 4(6x-15)

p = 24x - 60

Answer:

Where is the fourth diagram?

Answer:

29/14

Explanataion:

The function equation would be represented as a piecewise function:

f(x) =

  2x      if 0 ≤ x ≤ 2

  223    if 2 < x ≤ 5

Based on the given conditions, we have two separate ranges for the variable x:

For the range 0 ≤ x ≤ 2, the function equation can be represented as:

f(x) = 2x

For the range 2 < x ≤ 5, the function equation can be represented as:

f(x) = 223

Therefore, the function equation would be represented as a piecewise function:

f(x) =

  2x      if 0 ≤ x ≤ 2

  223    if 2 < x ≤ 5

Learn more about function  at https://brainly.com/question/11624077

#SPJ1

The P-value for a two-tailed test with a test statistic of t=-1.715 and 27 degrees of freedom is approximately 0.098.  We can calculate it in hte following manner.

To find the P-value for this hypothesis test, we can use technology such as a statistical software program or a calculator with built-in statistical functions.

Using a t-distribution calculator, we can input the sample size (n=28), degrees of freedom (df = n-1 = 27), and the test statistic (t=-1.715). From this information, we can find the P-value associated with the test statistic.

The P-value for a two-tailed test with a test statistic of t=-1.715 and 27 degrees of freedom is approximately 0.098.

Therefore, we would fail to reject the null hypothesis (that the mean data speed at airports is 13.00 Mbps) at a significance level of 0.05, as the P-value is greater than the chosen level of significance.

To find the P-value for the hypothesis test described, you can use a t-distribution calculator or statistical software. Here's a summary of the given information:

1. Claim: The mean data speed for a smartphone carrier at airports is 13.00 Mbps.
2. Sample size (n): 28
3. Test statistic (t): -1.715


Using a t-distribution calculator or statistical software with the provided information (n-1 = 27 degrees of freedom and t = -1.715), you'll find that the P-value is approximately 0.097.

So, the P-value for this hypothesis test is about 0.097.

Visit here to learn more about test statistic brainly.com/question/28957899
#SPJ11

Answer:

y= x2+x-3

Step-by-step explanation: i think this is the answer

Answer:

it takes the marshall to catch up to the robber about 2.7 hours.

Step-by-step explanation:

if you want the work i can give it i hope this helps and have a brilliant day

Step-by-step explanation:

y = 4x + 1 and y = -2x + 4

4x + 1 = -2x + 4, 6x = 3, x = 0.5

When x = 0.5, y = 4(0.5) + 1 = 3.

The point of intersection is (0.5, 3). (B)

Step-by-step explanation:

y = 4x + 1

A.(2,9)

y = 4(2) + 1 = 9

y = 9.

y = 4x + 1

9 = 4x + 1

9 - 1 = 4x

8 = 4x => x = 8÷4 = 2

x = 2.

y = -2x + 4.

A.(2,9)

y = -2(2) + 4 = 0

y = 0.

y = - 2x + 4

0 = -2x + 4

0 - 4 = 2x

0 = 2x => x = 0 ÷ 2 = 0

x = 0.

y = 4x + 1

B.(1/2, 3)

y = 4(1/2) + 1

y = 4 ÷ 2 + 1 = 3

y = 3.

y = 4x + 1

3 = 4x + 1

3 - 1 = 4x

2 = 4x => x = 2 ÷ 4 = 1/2

x = 1/2.

y = - 2x + 4

B.(1/2, 3)

3 = - 2x + 4

3 - 4 = - 2x

- 1 = - 2x => x = 1/2

x = 1/2.

y = - 2x + 4

y = - 2(1/2) + 4

y = -2(0.5)+ 4

y = -1 + 4 = 3

y = 4x + 1

C.(1,2)

y = 4(1) + 1 = 5

y = 5.

y = 4x + 1

5 = 4x + 1

5 - 1 = 4x

4 = 4x => x = 4÷4 =1

x = 1.

y = -2x + 4

C.(1, 2)

y = - 2(1) + 4

y = - 2 + 4 = 2

y = 2.

2 = -2x + 4

2 - 4 = - 2x

- 2 = - 2x => x = 2÷2 = 1

x = 1.

y = 4x + 1

D.(1/4, 2)

y = 4(1/4) + 1

y = 4(0.25) + 1

y = 1 + 1 = 2

y = 2.

y = 4x + 1

2 = 4x + 1

2 - 1 = 4x

1 = 4x => x = 1/4

Point A is the point of intersection of the lines.

Answer: Area of regular polygon =  

2

perimeter×apothem

​

Perimeter = number of sides × side length = 5×10 =50 cm

So, Area =  

2

50×10

​

Area = 250 cm

2

Step-by-step explanation:

The distributive property is applied to multiply the expression \(\rm -c^2 (3c - 2)\). Then the result is \(\rm -3c^3 + 2c^2\).

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is \(\rm -c^2 (3c - 2)\).

On multiply, we have

\(\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2\)

The distributive property is applied to multiply the expression \(\rm -c^2 (3c - 2)\). Then the result is \(\rm -3c^3 + 2c^2\).

More about the distributive property link is given below.

https://brainly.com/question/13130806

Answer:

The distributive property is applied to multiply the expression . Then the result is .

What is distributive property?

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is .

On multiply, we have

The distributive property is applied to multiply the expression . Then the result is .

More about the distributive property link is given below.

brainly.com/question/13130806

Step-by-step explanation:

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

To learn more about F-ratio,

https://brainly.com/question/27310923

#SPJ4

The three types of congruence theorems are SAS, ASA, and SSS.

Triangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure. Corresponding sides and angles mean that the side on one triangle and the side on the other triangle, in the same position, match. You may have to rotate one triangle, to make a careful comparison and find corresponding parts.

The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

The SAS Postulate says that triangles are congruent if any pair of corresponding sides and their included angle are congruent.

Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle.

Thus, the three types of congruence theorems are SAS, ASA, and SSS.

To learn more about triangles, visit brainly.com/question/2773823

#SPJ4