Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).


And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL

Answer:

3/4, 4/5, 3, 3, 3.5

Answer:

3.5,3 3/4,3 4/5

Step-by-step explanation:

Answer:

27 in3

Step-by-step explanation:

Answer:

56inches

Step-by-step explanation:

formula: Area x 6.

a cube has 6 sides. For 1 side, since the length is 3, we multiply by 3 to get the area to get 9. Thats only 1 side, so we multiply 9 by the 6 sides to get 56.

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

Answer:

I got x = 0

Step-by-step explanation:

y = (47/2)x Substitute y =0

0 = (47/2) x Multiply both side

0 = x Swap the sides

x = 0

Answer:

10[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Let the width length be x.

Width length = x

Length = 2x + 4

Perimeter = width + length + width + length

                = x + 2x + 4 + x + 2x + 4

                = 6x + 8

6x + 8 = 28

6x = 28 - 8

    = 20

x = 20 ÷ 6

x = 3[tex]\frac{1}{3}[/tex]

Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4

                         = 6[tex]\frac{2}{3}[/tex] + 4

                         = 10[tex]\frac{2}{3}[/tex]

Answer:

25(x)= 200

Step-by-step explanation:

Total = 200

Per day = 25

x = how many days

25(x)= 200

25(8)= 200

- Sorry i am just a little confused by the question but i hope this helps. Have a great day!

Answer:

x+25=200

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I wont be able to answer your question but i hope this helps you understand which one is which :)

      A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.

i hope i helped atleast a little :)

Answer:

y=-2x-7

Step-by-step explanation:

parallel lines have the same slope

our new line so far:

y=-2x+b (b is  a place holder)

subsitute (-4,1) into the equation

1=-2(-4)+b

1=8+b

-7=b

new line:

y=-2x-7

Answer:

n=66

Step-by-step explanation:

6+12x+120+80+19x-1=360

205+31x=360

31x=155

x=5

Answer:

D. 1/2

Step-by-step explanation:

1/2 = 0.5

1/2 it´s a representation of a decimal number.

Answer:

Step-by-step explanation:

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

The answer is,

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

here. given that,

U is the set of all multiples of 3 less than 20,

i.e. U={3,6,9,12,15,18}

and M={3,12,18},

Mc (the complement of M),

i.e. M'={6,9,15}.

Hence, we get, U={3,6,9,12,15,18} ,  M={3,12,18} & M'={6,9,15}.

To learn more on set click:

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Answer:

|−3| < |−4|

Step-by-step explanation:

Answer:

|−3| < |−4|

Step-by-step explanation:

Convert each option:

|−4| < 3   ⇒   4 < 3   ✖ False

|−4| < |3|   ⇒   4 < 3   ✖ False

|−3| < −4   ⇒   3 < −4   ✖ False

|−3| < |−4|   ⇒   3 < 4   ✔ True

Hope this helps! :)

Step-by-step explanation:

Since x² + kx + (k + 3) is tangent to the x-axis, the quadratic function has a repeated root.

The discriminant is zero, so b² - 4ac = 0.

=> k² - 4(1)(k + 3) = 0

=> k² - 4k - 12 = 0

=> (k - 6)(k + 2) = 0

Hence k = 6 or k = -2.

The value of k is -2 and 6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + kx + (k + 3) is tangent to the x-axis.

This means,

The equation has roots.

Now,

The determinant of the equation is equal to zero.

D = b² - 4ac

x² + kx + (k + 3) is in the form of ax² + bx + c.

a = 1

b = k

c = k + 3

Now,

D = 0

k² - 4(k + 3) = 0

k² - 4k - 12 = 0

k² - (6 - 2)k - 12 = 0

k² - 6k + 2k - 12 = 0

k(k - 6) + 2(k - 6) = 0

(k + 2) (k - 6) = 0

k + 2 = 0

k = -2

k - 6 = 0

k = 6

Thus,

k = -2 and 6.

Learn more about equations here:

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Answer:

b

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

======================================

Explanation:

Rotate the arrow so that it is pointing up.

Draw a line separating the arrow into a triangle up top and a rectangle below that.

The rectangular portion has area of 6*4 = 24 square units.

-----------------

The triangular portion up to has area of

0.5*(base)*(height) = 0.5*(4+4+4)*(15-6) = 54

The base is 4+4+4 due to the '4's along the bottom of the triangle. The middle 4 might be the trickiest to spot, but keep in mind that rectangles have opposite sides that are the same length.

The height of the triangle is 15-6 since we start with an overall height of 15, and then subtract off 6 (which was the height of the rectangle).

-----------------

Once you know the areas of the triangle and rectangle, you add them up to get 54+24 = 78 square units.

The value 14 along the diagonal portions of the triangle isn't used. This information is probably put in to distract or trick students. However, if you needed to find the perimeter, then you will use the 14's.

Answer:

Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!!

Note: your answer options suggest as if your actual question was

y = -4x - 9 instead of y = -x-9

But, anyways I am solving with respect to both equations

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]y = -x-9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

[tex]y = -4x - 9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

Answer:

b

Step-by-step explanation:

b is a linear function, because all you have to do is swap around the equation. It can't be the ones with exponents or the one that has x as a denominator

Answer:

A: y = x^3 + 1

Step-by-step explanation:

Answer:

Graph D is the correct answer

Step-by-step explanation:

The graph of is attached.

The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.

Also, the slope of is 2, and the y-intercept is 2.

Now let us look at the choices given and determine which graph represents the function .

The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.

The second graph has y-intercept of 3—also not our graph.

The third graph also has a y-intercept of 3—this does match our graph either.

The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.

Therefore, the graph that matches our graph is D.

Answer:

the slope is -2/3x and the y intercept is 1

Step-by-step explanation:

Answer:

D or C

Step-by-step explanation:

Answer: c

Step-by-step explanation:

First find 2 points like say

(0,3) and (1,-2)

now find the slope

3-(-2)/0-1 = -5

the y intercept is already known so the equation is y=-5x+3

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]

[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]

[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]

[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]

[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]

= 0.0087999

≅ 0.0088

Answer:

0.903

Step-by-step explanation:

[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]

Answer: slope = 3/4

y intercept = 2

equation : y= 3/4x+2

Step-by-step explanation:

Its is equal to 9x6=53 Goodluck

Answer:

176 R. 5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

176r5 first