Determine the following angle measures.
mZM=
mXL =

This is just like the rice chessboard problem! To quickly get the answer, we can simply do (2^64)-1.

Take a look at the following:

1+2+4+8=15=2^4-1

1+2+4+8+16=31=2^5-1

There's that rule involved, and we can simply use 2^64-1 instead of adding too many numbers.

Hope this helped!

Total number of  pennies on the chessboard is equals to [tex]2^{64} -1[/tex].

Total number of squares on the chessboard = 64

" Pattern is defined as the numbers are arranged in such a way that it follow certain rule or formula."

According to the question,

Number of pennies in first square = 1

Number of pennies in second square = 2

Number of pennies in third square = 4

Condition given,

Doubling the number of pennies on each subsequent square.

Calculate pattern follow as per given condition we have,

Total Number of pennies in first square = 1

                                                                  = [tex]2^{1} -1[/tex]

Total Number of pennies till second square = 1 + 2

                                                                          = [tex]2^{2} -1[/tex]

Total Number of pennies  till third square = 1+ 2 + 4

                                                                      = [tex]2^{3} -1[/tex]

Total Number of pennies  till fourth square = 1+ 2 + 4 +8

                                                                      = [tex]2^{4} -1[/tex]

Total number of squares on the chessboard = 64

Therefore,  as per the pattern follow on each subsequent square we get,

Total number of  pennies till 64th squares chessboard = [tex]2^{64} -1[/tex]

Hence, total number of  pennies on the chessboard is equals to [tex]2^{64} -1[/tex].

Total number of squares on the chessboard = 64.

Learn more about pattern here

https://brainly.com/question/14720576

#SPJ3

The equation given is the equation of a line in slope-intercept form.

The slope of the line is the numerical value associated with the variable X.

The number in front of X is -6, so the slope of the line would be -6

Answer: To find an equation that is parallel to  

y

=

−

6

x

+

1

, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(

6

,

0

)

m

=

−

6

So the answer would be -6

Step-by-step explanation:

Answer:

434822.11875961m

Step-by-step explanation:

this is because the formula is  λ = C/f

  Where,

λ (Lambda) = Wavelength in meters

c = Speed of Light (299,792,458 m/s)

f = Frequency

Answer: 32

Step-by-step explanation:

4cm × 8cm = 32cm

Answer: 0.00562454

Step-by-step explanation:

Did I save you a lot of time? Lol hope I helped

Answer:

the answer would be 0.00562454346 or if u want it as a fraction it would be 281227173/50000000000

Step-by-step explanation:

Answer:

C2+17

Step-by-step explanation:

Algebraic expression is 2c + 17

17 more than twice Craig's height

Algebraic expression

We know that;

c = craig's height

So,

twice Craig's height

⇒ 2c

17 more than twice Craig's height

⇒ 2c + 17

https://brainly.com/question/8868200?referrer=searchResults

Answer:

x=-4/5

Step-by-step explanation:

So first, since it says find f(-3) put -3 in the place of x in F(x)

So, f(-3)=5x+1

-3=5x+1

-4=5x

x=-4/5

or

x=-.8

Answer: [tex]245cm^{2}[/tex]

Step-by-step explanation:

The formula for calculating the area of a square is given by :

Area = [tex]l^{2}[/tex]

where [tex]l[/tex] is the length of a side .

Therefore , the area of one of the square given implies :

Area = [tex]7^{2}[/tex]

Area [tex]= 49[/tex]

And since there are 5 squares in all , the area will therefore be :

Area = [tex]5[/tex] x[tex]49[/tex]

Area = [tex]245cm^{2}[/tex]

Therefore: the area of the shape is [tex]245cm^{2}[/tex]

Answer:

A) 28*sqrt(3)

Step-by-step explanation:

Answer:

28√3 is your answer

Step-by-step explanation:

Question:

Which summation formula represents the series below? 1 + 2 + 6 + 24

(a) [tex]\sum_{n=2}^{5}(n-1) ![/tex]

(b) [tex]\sum_{n=0}^{3} n ![/tex]

(c) [tex]\sum_{n=1}^{4}(n+1) ![/tex]

(d) [tex]\sum_{n=2}^{5} n ![/tex]

Answer:

Option a: [tex]\sum_{n=2}^{5}(n-1) ![/tex] is the correct answer.

Explanation:

Option a: [tex]\sum_{n=2}^{5}(n-1) ![/tex]

By substituting the values of n and expanding the summation, we have,

[tex](2-1) !+(3-1) !+(4-1) !+(5-1) ![/tex]

Subtracting, we have,

[tex]1 !+2!+3 !+4 ![/tex]

Expanding the factorial,

[tex]1+(2*1)+(3*2*1)+(4*3*2*1)[/tex]

Simplifying, we get,

[tex]1+2+6+24[/tex]

Thus, the summation [tex]\sum_{n=2}^{5}(n-1) ![/tex] represents the series [tex]1+2+6+24[/tex]

Hence, Option a is the correct answer.

Option b: [tex]\sum_{n=0}^{3} n ![/tex]

By substituting the values of n and expanding the summation, we have,

[tex]0!+1!+2!+3![/tex]

Expanding the factorial,

[tex]0+1+(2*1)+(3*2*1)[/tex]

Simplifying, we get,

[tex]0+1+2+6[/tex]

Thus, the summation [tex]\sum_{n=0}^{3} n ![/tex] does not represents the series [tex]1+2+6+24[/tex]

Hence, Option b is not the correct answer.

Option c: [tex]\sum_{n=1}^{4}(n+1) ![/tex]

By substituting the values of n and expanding the summation, we have,

[tex](1+1) !+(2+1) !+(3+1) !+(4+1) ![/tex]

Adding, we have,

[tex]2!+3!+4!+5![/tex]

Expanding the factorial,

[tex](2*1)+(3*2*1)+(4*3*2*1)+(5*4*3*2*1)[/tex]

Simplifying, we get,

[tex]2+6+24+120[/tex]

Thus, the summation [tex]\sum_{n=1}^{4}(n+1) ![/tex] does not represents the series [tex]1+2+6+24[/tex]

Hence, Option c is not the correct answer.

Option d: [tex]\sum_{n=2}^{5} n ![/tex]

By substituting the values of n and expanding the summation, we have,

[tex]2!+3!+4!+5![/tex]

Expanding the factorial,

[tex](2*1)+(3*2*1)+(4*3*2*1)+(5*4*3*2*1)[/tex]

Simplifying, we get,

[tex]2+6+24+120[/tex]

Thus, the summation [tex]\sum_{n=2}^{5} n ![/tex] does not represents the series [tex]1+2+6+24[/tex]

Hence, Option d is not the correct answer.

Hence, the correct answer is Option a: [tex]\sum_{n=2}^{5}(n-1) ![/tex]

Answer: A

Step-by-step explanation:

To solve the equation, you need to isolate/get "y" by itself in the equation:

3y - 4 = 6 - 2y        Add 2y on both sides

3y + 2y - 4 = 6 - 2y + 2y

5y - 4 = 6        Add 4 on both sides

5y - 4 + 4 = 6 + 4

5y = 10          Divide 5 on both sides

[tex]\frac{5y}{5} =\frac{10}{5}[/tex]

y = 2

PROOF

3y - 4 = 6 - 2y        Substitute/plug in 2 for y

3(2) - 4 = 6 - 2(2)

6 - 4 = 6 - 4

2 = 2

After Solving the equation for 3y-4=6-2y, we get y = 2. We must isolate the variable y on one side of the equation in order to get the solution to the equation 3y - 4 = 6 - 2y. Here's a step-by-step procedure:

Start by solving 3y - 4 = 6 - 2y, which is the provided problem.

Add 2y to both sides of similar phrases to combine them: 3y + 2y - 4 = 6 - 2y + 2y.

Simply put, this is: 5y - 4 = 6.

Add 4 to both sides of the variable word to isolate it: 5y - 4 + 4 = 6 + 4.

This may be summarised as 5y = 10.

To find y, multiply both sides of the equation by 5. (5y) / 5 = 10 / 5.

This may be condensed to: y = 2.

Consequently, y = 2 is the answer to the equation 3y - 4 = 6 - 2y.

To know more about variable :

https://brainly.com/question/15078630

#SPJ6.

Answer: D

Step-by-step explanation:

On USA test prep the answer is D.

Answer:

They are incorrect. The answer is actually 36.9

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The formula of volume is 4/3 × π × radius3.

volume of smaller sphere = 4/3 x 3.14 x 3*3*3

v = 113.04

volume of larger sphere = 4/3 x 3.14 x 6*6*6

v = 904.32

904.32 / 113.04 = 8

The Answer Is 8 times

Answer:

The answer is A)$10.50

Step-by-step explanation:

In order to solve the average amount, you have to add the total amount of money spent and divide it by the total number of times you spent money on food. The total sum of money spent was $63. If you divide that by how many times you ate (6 times) you'll get the dividend/answer of 10.5.

Hope this helps :)

You are spending, on average, A) $10.50 per day on food.

The correct answer is A) $10.50.

To find the average amount spent per day on food, you need to add up the total amount spent over the 6 days and then divide it by the number of days (6).

Total amount spent on food = $8 + $14 + $12 + $11 + $5 + $13

                                               = $63

Average amount spent per day = Total amount spent / Number of days

                                                     = $63 / 6

                                                     = $10.50

So, you are spending, on average, $10.50 per day on food.

for such more question on average

https://brainly.com/question/130657

#SPJ2

Answer:

300

Step-by-step explanation:

because you said nearest hunderd and 281 would be 200 if it was 149 but since its 281 its further to 300

   your welcome

lex <3

Answer:

300

You first look to the right of the hundred and if it is 5 and above u add 1 to the hundreds place. If its 4 and below u keep it the same. You just have to remember that all the place values after the one rounded would have a value of 0

Answer:

The height of the flagpole is 25 foot.

Step-by-step explanation:

Given:

Height of the stick = 5 foot

Shadow of the stick = 4 foot

Another one:

Height of the flagpole = 'x'

Shadow of the flagpole = 20 foot

Note:The shadows are formed at the same time of the day so the Sun makes an equal angle with both the situation.

Here from both ends it forms two similar triangles.

So,

We can say that:

⇒ [tex]\frac{Height\ of\ the\ flagpole}{Shadow\ of\ the\ flagpole}=\frac{Height\ of\ the\ stick}{Shadow\ of\ the\ stick}[/tex]

⇒ [tex]\frac{x}{20}=\frac{5}{4}[/tex]

⇒ [tex]\frac{x}{20}\times 20=\frac{5}{4}\times 20[/tex]

⇒ [tex]x=25[/tex] foot

So Darius estimated height of the flagpole = 25 foot.

Answer:

do you mean x=7

Step-by-step explanation:

this aint a quadratic function a qaudratic function is ax^2+bx+c=c

Answer:

7.1ft

Step-by-step explanation:

The formula for calculating the total surface area of a cube is 2(L²+L²+L²)

=2(3L²)

= 6L²

Where L is the length of the cube

If the total surface area of a cube is 302.46ft², then

302.46 = 6L²

L² = 302.46/6

L² = 50.41

L =√50.41

L = 7.1ft

The length of the side of the cube is 7.1ft

The length of the side of the cube is approximately [tex]\( 7.1 \, \text{ft} \).[/tex]

To find the length of the side of a cube given its total surface area, we need to use the formula for the surface area of a cube.

The formula for the surface area of a cube is:

[tex]\[ \text{Surface Area} = 6s^2 \][/tex]

where s is the length of a side of the cube.

Given the total surface area is [tex]\( 302.46 \, \text{ft}^2 \)[/tex], we can set up the equation:

[tex]\[ 6s^2 = 302.46 \][/tex]

To solve for s we first divide both sides by 6:

[tex]\[ s^2 = \frac{302.46}{6} \][/tex]

[tex]\[ s^2 = 50.41 \][/tex]

Next, we take the square root of both sides to find s

[tex]\[ s = \sqrt{50.41} \][/tex]

[tex]\[ s \approx 7.1 \, \text{ft} \][/tex]

Thus, the length of the side of the cube is approximately [tex]\( 7.1 \, \text{ft} \).[/tex]

Answer:

D:  y = 5x

Step-by-step explanation:

According to Google, a proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if: y=kx. for some constant k , called the constant of proportionality.  So the only one in that form would be the y = kx.  

The constant k = 5

Answer:

c is the answer i am preety sure

Step-by-step explanation:

Gallery = g

Balcony = 2g (twice as many gallery)

Main floor = 2g + 225 ( 225 more than balcony)

The answer would be D.

Answer:

1. 19

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

= (7 - (-3))/(-2 - 8)

= (7+3)/(-10)

= 10/(-10) = -1

Answer:

marcel picked 4 apples

Step-by-step explanation:

18 = 4x + 2

solve for x

subtract 2 from each side

16 = 4x

divided by 4

16/4 = 4

Answer: 4 apples

Step-by-step explanation:

Answer:

D.) A 90 degree clockwise rotation about the origin

Step-by-step explanation:

The red triangle should have a 90° clockwise rotation about the origin. Option C is correct.

Given that,
A graph of figures is shown in the pictures,
Which transformation of the red triangle on the graph maps it onto the missing piece of the square is to be determined.

The translation is defined as the change of position through linear distance and angle.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

In order to occupy the required space on the green figure by red triangle, it should be rotated to 90° clockwise about the origin.

Thus, the red triangle should have a 90° clockwise rotation about the origin. Option C is correct.

Learn more about translation here:

brainly.com/question/11914505

#SPJ2

Answer:

You can determine if a polygon is a convex, by which way the edges points out

Convex is when all the points are facing out, so a polygon is a convex if all the edges are pointing out.

Answer:

  No side of the polygon crosses any other, even when extended indefinitely.

Step-by-step explanation:

If no sides of the polygon cross each other, it is convex when it has no internal reflex angles (angles measuring more than 180°). If sides of the polygon cross each other, it is not convex.

Another way to describe a convex polygon is that extending any one side indefinitely will not cause it to cross any other side.

Answer:

[tex]68 \: {cm}^{2} [/tex]

Step-by-step explanation:

You can use 1 cm = 10 mm very well to help you with this.

The small two at the end of the unit (cm^2) refers, that the shape of an object is two dimensional. If we make 1 cm two dimensional by multiplying it with the original 1 cm, we get a total area of

[tex]1 \: {cm} \times 1 \: {cm} \: = 1 \: {cm}^{2} [/tex]

We have created an equation. Since we know 1 cm = 10 mm, we can replace the centimetres in the equation with the millimetres, like so:

[tex]10 \: mm \times 10 \: mm = 1 \: {cm}^{2} \\ 100 \: {mm}^{2} = 1 \: {cm}^{2} [/tex]

From there, its just a simple matter of calculation:

[tex]6800 \: {mm}^{2} \times \frac{1 \: {cm}^{2} }{100 \: {mm}^{2} } = 68 \: \: {cm}^{2} [/tex]

Answer: it would be 390

Just keep counting how many times one number goes into the other, start with the smallest

Answer:

4(3x+y)^2

Step-by-step explanation:

36x^2+24xy+4y^2

=9*4x^2+6*4xy+4y^2

=4(9x^2+6xy+y^2)

=4(3x+y)*(3x+y)

=4(3x+y)^2