Is the sum of any 2 consecutive prime numbers also prime?

Answer:

B.He did not add the corresponding parts of the complex numbers.

Step-by-step explanation:

A mid point is a point that is of equal distance to two reference points.

Given: Find the midpoint of 5+(-3)i and 12+7i.

These expressions have two parts: the value and complex number parts.

Thus the addition ought to have been;

 (5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)

                            = (5 + 12) + (-3i + 7i)

                            = 17 + 4i

The midpoint can be determined as:

                        [tex]\frac{(17 +4i)}{2}[/tex]

Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.

Answer:

bbbbbbbbb

Step-by-step explanation:

Answer:

Don't have

Step-by-step explanation:

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step.  stepstep

Answer:

9

Step-by-step explanation:

Sorry to lazy to type

Calculation is up

Answer:

The answer to your question will be 9, sorry that im late!

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer: C. Mr Chavez increased both his assets and net worth

Step-by-step explanation: edgenu 2021

Answer:

Hello! The answer is 1.5

The area of the given right-angle triangle will be 1.5 unit².

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the tringle with,

Base =1.5 unit

Hypotaneous = 2.5 unit

By Pythagoras theorem

Perpendicular² = (Hypo² - Base²)

Perpendicular² =  2.5² - 1.5²

Perpendicular = 2 units.

Now the area of the right-angle triangle is

⇒  (1/2) × base × height.

Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²

Hence the area of the given triangle will be 1.5 unit².

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Answer:

The answer is 30

Step-by-step explanation:

12 ÷ 40% = 30

Answer:

32/27

Step-by-step explanation:

The fractional division is draculated as follows:

(a/b) / (c/d) = (a*d) / (b*c)

then:

(8/9) / (3/4) = (8*4) / (9*3) = 32/27

Euler's formula immediately gives

[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

Answer:

$568.95

Step-by-step explanation:

Given parameters:

Value of loan  = $18965

Interest rate  = 3%

Time  = 1year

Unknown:

Interest = ?

Solution:

The interest on a particular amount is given as:

        I  = [tex]\frac{PRT}{100}[/tex]  

I is the interest

P is the principal

R is the rate

T is the time

       I  = [tex]\frac{18965 x 3 x 1}{100}[/tex]   = $568.95

Answer:

The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.

Step-by-step explanation:

Measurements in Similar Figures

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.

We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.

Answer:

the first one and the last three

Step-by-step explanation:

that should be it.

Answer:

B. 63 degrees

Step-by-step explanation:

Its the same angle as the one above it.

I hope this helps :)

Have a nice day!

Answer:

B

Step-by-step explanation:

If lines AB and CD are parallel, then angle h is equal to 63 degrees

Answer: 0, 1, -3

Step-by-step explanation:

f(x) = x^3 +2x^2 -3x

f(x) = x(x^2 +2x-3)

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

Answer:

1.5

Step-by-step explanation:

i am not certain but this is how I got it

First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6

Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers

After you divide you get 3/2 then put it has a decimal and you get 1.5

Answer:

2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)

Step-by-step explanation:

2 (4x - 1) + 6

= (2*4x + 2*-1) + 6

= 8x - 2 + 6

= 8x + 4

= 4/(2x+1)

Answer:

4(2x+1)

Step-by-step explanation:

First, factor it out:

2(4x-1+3)

Then calculate:

2(4x+2)

Factor out 2:

2 • 2(2x+1)

Then finally multiply:

4(2x+1)

Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

Answer:

d is answer have a great day

Answer:

B

Step-by-step explanation:

I am learning this now and I used the equation I'm learning and I got 294.

Answer:

d

Step-by-step explanation:

Answer:

42 minutes

Step-by-step explanation:

Put all numbers in order then cross out a number from each side until you reach the middle.

28, 35, 42, 55, 57

/ 35, 42, 55 /

/ / 42 / /

Answer:

3 hours and 37 minutes

Step-by-step explanation:

42+35+28+55+57=217

217/60=3.61666.....

217-60-60-60=37

Answer:

D

Step-by-step explanation:

in answer D, the values would equal "6" and "18" which is not equivalent to the given equation

Answer:

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

x=21

Step-by-step explanation:

• 8x - 7 = 9x - 28

(group like terms)

• 8x - 9x = -28 + 7

• -1x = - 21

(negative cancels out)

• x = 21

Answer: b=6

Step-by-step explanation:

I hope this helps on edge

To make the system have an infinite number of solutions, the value of b can be any real number.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.

So,

Let's rearrange the given equations into the slope-intercept form:

y = 6x - b _____(1)

3x + 12y = -3 ______(2)

-3x + y = -3 ______(3)

From equation (3),

y = 3x - 3 _______(4)

Now,

We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.

Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.

So,

2(3x - 3) - b = 6x - b

Simplifying this expression.

6x - b = 6x - b

Since this equation is true for any value of x and b, we have an infinite number of solutions.

Therefore,

To make the system have an infinite number of solutions, the value of b can be any real number.

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