What is the last digit of 73!?

Answers

Answer 1
Final answer:

The last digit of 73 factorial (73!) is 0 because any factorial of a number greater than 4 ends in 0 due to the multiplication with 2 and 5.

Explanation:

The last digit in a factor of an integer is dependent upon the pattern of the last digits in its individual factors. We know that factorial of any number greater than 4 ends in 0 because factorial operation involves multiplication by 2 and 5. Since 2 and 5 are factors of any number greater than 4, and the multiplying them results in 10, the final digit will always be 0.

In our case, the student wants to find out the last digit in 73!, which is far greater than 4. So, the last digit of 73! is 0.

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Related Questions

Assessment
(1 point)
-
9. What is the volume of the given prism? Round the answer to the nearest tenth of a cm.
12 4 cm
295.5 cm
451.7 cm
493.0 cm
0617.1 cm​

Answers

The correct answer is D

If x = 4, what is the value of the following expression?
12x + 9x - 2x
A.76
B.19
C.4
D.92

Answers

Answer:

Option A, 76

Step-by-step explanation:

Substitute x by 4 to the following expression :

12(4) + 9(4) - 2(4)

48 + 36 - 8

84 - 8

= 76

Can I please get help on these and thanks!!!!

Answers

Answer:

A

Step-by-step explanation:

Question 4:

A.) Documentation Files (Field Reports)

Explanation:

Archaeologists record their findings in documentation files or field reports because that would be the more formal and official to jot down important information.

Question 5:

B.) Information Collection and Review

Explanation:

Archaeologists verify existing archaeological records through the information collection and review stage. This one was a tricky question, because it's asking about existing records, not newly found records.

Hope this helps ya :D

La figura muestra la matriz de un dado de 6 caras en cuyas caras opuestas estan numeros opuestos

Si se lanza el dado y se suman los valores de sus caras, sin incluir el valor de la cara oculta, ¿Qué sumas se pueden obtener?

Si se lanza el dado y se multiplican los valores de sus caras, sin incluir el valor de la cara que esta oculta ¿Que productos se obtienen?

Answers

The space between the walls are very smalll

help me with this please​

Answers

what do you mean 2<_ 10?

If x<_10,

a) 1,2,5,10

b) 4

c) 6

Answer:

see explanation

Step-by-step explanation:

Given x ∈ { 2, 3, 4, 5, 6, 7, 8, 9, 10 }

Factors of 10 are 1, 2, 5, 10, thus

P = { 2, 5, 10 } ← 1 is not a member of the universal set

and the number of elements in P , that is n(P) = 3

The complement of P is the elements not in P but in the universal set

P' = { 3, 4, 6,7,8,9 }

Apply the distributive property to simplify the expression.

−3(6x + 2)

Answers

Answer:

-3(6x + 2) = -18x - 6

[tex]\text{Hey there!}[/tex]

[tex]\text{Distributive property}\rightarrow\text{a(b + c) = a}\times\text{b + a}\times \text{c = ab + ac}[/tex]

[tex]\text{Now that we know what the distributive property SHOULD look like,}[/tex] [tex]\text{we can solve for your answer}[/tex]

[tex]\text{-3(6x + 2)}\\\text{-3(6x) = -18x}\\\text{-3(2) = -6}[/tex]

[tex]\text{ + \& - = -. so the plus sign (+) becomes a negative sign/ subtraction symbol (-)}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\ -18 \ - \ 6}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

What is the area of a rectangle with a length of 37 inches and a width of 45 inches

Answers

Answer:

A=1665

Step-by-step explanation:

An area of a rectangle is length times width or l*w=a

Parallelogram ABCD has vertices at A(0,0), B(4,5), C(8,0), D(-4,-5) Which conclusion can be made?

Answers

Answer:

AB=BC therefore ABCD is a Rhombus

Step-by-step explanation:

we have

[tex]A(0,0), B(4,5), C(8,0), D(4,-5)[/tex]

Using a graphing tool

see the attached figure

AB=BC

The figure is a flat shape with 4 equal straight sides. All sides have equal length. Opposite sides are parallel, and opposite angles are equal

therefore

The figure is a Rhombus

If m 1 = 90°, what is m ACB?

90
180
270

Answers

Answer:

270

Step-by-step explanation:

m q =90

so remaining angle for a circle is 270

Answer:

270

Step-by-step explanation:

ca is 180 since it is a straight line plus the 90 from section 1

Symmetry is an important component of photography. Photographers often use reflection in water to
create symmetry in photos. Which of the following types of symmetry are created from the above
photo? Select all that apply​

a rotational
b horizontal
c vertical
d diagonal
e translational

Answers

Rotational, horizontal, and vertical.

Answer:

Horizontal

Explanation:

There are many types of symmetry presented at school time. Many of the symmetry we used during photo shop. The simple picture can be symmetrical by putting a mirror seeing an image in the mirror.

There has been seen half of the original image and half of the mirror reflection. It can be said that the original picture is symmetric with the help of the mirror. It is also called reflective symmetry.

The mirror symmetry also called a one-line symmetry. The horizontal line of symmetry cuts the picture in two left and right parts.

A trapezoid has a base of two and six and an area of 24 square units. What is the height?

Answers

[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h[/tex]

If f(x)=x^2 what is g(x)

Answers

Answer:

Step-by-step explanation:

If f(x)=x²

g(x) = (3x)²

because : g(0)=0 and g(1)= (3×1)² =3 passes  through A(1;3) and O(0;0).

Answer: g(x) = 3x²

Step-by-step explanation:

Since we have given that

[tex]f(x)=x^2[/tex]

So, the function of g(x) would be

[tex]g(x)=ax^2[/tex]

since we have given that

(1,3) on g(x means (x,ax)

Here, x = 1.

So, ax = 3

which implies that a = 3.

So, g(x) would look like

[tex]g(x)=3x^2[/tex]

and the graph of g(x) is compressed.

16 POINTS!
WILL GIVE BRAINLIEST!

A class tracked the hours each student played games per month. Answer the questions below.


Based on the data in the line plot, show all work to calculate the following:
a) The mean

b) The median

c) The mode

d) What percentage of the students play video games for more than 4 hours in a month?

Answers

Answer:

The mean is: 85

Step-by-step explanation:

First you need to add everything up :

1 * 2 = 2

2 * 1 = 2

3 * 3 = 9

4 * 5 = 20

5 * 4 = 20

6 * 3 = 18

7 * 2 = 14

(I multiplyed them all first because i was fast than doing 4+4+4+4+4 because its the same as 4 * 5)

then add them all up 2+2+9+20+20+18+14=85

Answer:

The median is: 4

Step-by-step explanation:

Get the data in NUMERICAL ORDER (smallest to largest), then eliminate the extremes until we're at the middle. (basically chopping off the end till you get to the middle)  Therfore The answer would be 4.

Answer:

The mode would be: 4

Step-by-step explanation:

The mode is Get the data in NUMERICAL ORDER, and see which value is the most frequent (we can have more than one mode).

Answer:

25%

Step-by-step explanation:

firs you do 5 divided by 20 because there are 20 x's. this will = 0.25

0.25 = 25%

I hope I get brainiest. Sorry for taking forever. Have a nice day!

Convert 13pi/18 to degrees

Answers

Answer:

130°

Step-by-step explanation:

to do this conversion, multiply 13π/18 by the conversion factor 180°/π rad:

                                 13 · 180°

13π/18 · 180°/π rad = ------------- = 130°

                                       18

On a regular 6 sided number cube and a spinner with 3 equal sections labeled 1, 2 & 3, what is the probability of rolling a four and then spinning a 3?

Answers

On a number cube, rolling any number is a 1/6 probability ( 1 out of 6 numbers).

On the spinner the probability of getting 3 is 1/3 ( 1 out of 3 numbers).

The probability of getting both a 4 and then a 3 is 1/6 x 1/3 = 1/18

The output with the y being -4

Answers

For this case we have a function of the form [tex]y = f (x)[/tex], where [tex]f (x) = - 4x[/tex]. We must find the values of "and" according to the following function:[tex]y = -4x[/tex]

So:

[tex]f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12[/tex]

Thus, the values are:

24,8, -12

Answer:

24,8, -12

Which matrix is the product of a 3 × 3 identity matrix and the scalar 3?

Answers

Answer:

[tex]\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]

Step-by-step explanation:

In order to find out the resulting matrix, we will have to multiply the identity matric and the scalar 3:

The 3x3 identity matrix is:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

Multiplying with scalar 3:

[tex]3\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

The scalar will be multiplied by each element of the matrix.

Multiplying zeros with scalar 3 will give us zero. So the resulting matrix will be:

[tex]\left[\begin{array}{ccc}3*1&0&0\\0&3*1&0\\0&0&3*1\end{array}\right] = \left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]

So the resultant matrix will be a scalar matrix with 3 at diagonal positions..

Answer:

it's D on edge

Step-by-step explanation:

12(x-2)+3x=1/2(x+6)+2

Answers

You can use photo math that helps to

Answer: x=2 you have to simplify both sides and isolate the variable


What is the area of parallelogram ABCD?

Answers

Answer:

15

Step-by-step explanation:

Answer: 14 units

Imagine a box on points (2,6),(6,6),(2,1),(6,1)
the area of this box is 5•4=20
now subtract the areas of the four triangles in between the box and the parallelogram
for all four triangles, the area is 3•1/2=1.5
20-1.5-1.5-1.5-1.5=14

The function p(x) = 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sales be if the proce of the T-shirts were $15 a piece?

Answers

Answer:

the profit will be $172

Step-by-step explanation:

The function given is:

p(x) = 2(x-9)^2 + 100

Where x is the price of the each shirt.

if each shirt is sold for $15,  hen x = 15.

the profit will be:

p(15) = 2(15-9)^2 + 100

p(15) = 2(6)^2 + 100

p(15) = 2(36) + 100

p(15) = 72 + 100

p(15) = 172

So, the profit will be $172

Which of the values will NOT make 3x < 45 true?

12

11

16

-8 im being timed

Answers

Answer:

16

Step-by-step explanation:

3 times 16 is 48

hope this helps :)

Final answer:

The value that will not make the inequality 3x < 45 true is 16, as any value greater than or equal to 15 does not satisfy the inequality.

Explanation:

To determine which values will not make the inequality 3x < 45 true, we first solve the inequality for x by dividing both sides by 3.

Dividing 45 by 3 gives us:

45 / 3 = 15

So the inequality becomes:

< 15

Any value for x that is 15 or greater will not satisfy the inequality. Looking at the provided options (12, 11, 16, -8), the number 16 is the only value that is greater than 15, and hence, will not make the inequality true.

4h + 9 = 3 + (-h + 46)

Answers

Answer:  [tex]h=8[/tex]

Step-by-step explanation:

To find the value of "h" you need to:

Remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Distribute the positive sign that is outside the parentheses to  eliminate the parentheses:

[tex]4h + 9 = 3 -h + 46[/tex]

Add like terms on the righ side of the equation:

 [tex]4h + 9 = -h + 49[/tex]

Add h to both sides:

[tex]4h + 9+h = -h + 49+h[/tex]

[tex]5h + 9 =49[/tex]

Subtract 9 from both sides:

[tex]5h + 9-9=49-9[/tex]

[tex]5h =40[/tex]

Divide both sides by 5:

[tex]\frac{5h}{5}=\frac{40}{5}\\\\h=8[/tex]

u should start of with simplifying the equation

Find the area of a circle with a circumference of 31.4 units

Answers

Final answer:

To calculate the area of a circle with a circumference of 31.4 units, first find the radius using the formula r = C / (2π), then use the area formula A = πr² to obtain an area of 78.5 square units when π is approximated to 3.14.

Explanation:

To find the area of a circle with a given circumference, we first need to find the radius of the circle. The formula to calculate the circumference (C) is C = 2πr, where r is the radius and π (pi) is approximately 3.14159. For a circle with a circumference of 31.4 units, we can rearrange the formula to solve for the radius: r = C / (2π). Substituting the given circumference, we have r = 31.4 / (2×3.14) which simplifies to r = 5 units.

Now, we can find the area (A) of the circle using the formula A = πr². Substituting the calculated radius, the area becomes A = 3.14×5² which equals A = 3.14×25. Therefore, the area of the circle is A = 78.5 square units.

This calculation assumes the value of π (pi) is rounded to 3.14 for ease of calculation, which is typically 'close enough' for most estimation purposes.

y varies inversely with x
k= 1.25
What is the value of y when x is 5?

Answers

Answer:

The value of y is 0.25

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

For x=5

Find the value of y

k=1.25

substitute in the equation

[tex]y=k/x[/tex] -----> [tex]y=1.25/5=0.25[/tex]

Line m has a slope of 0. Line n is perpendicular to line m. What is the slope of line n?
A.
Line n has an undefined slope.
B.-1
C. 0
D. 1

Answers

Your answer would be A, Line n has an undefined slope.

The slope of a line perpendicular to another is the negative reciprocal of the other line.

In this case, the slope of this line is just 0. It'll be better to think of it as instead of 0, something like 0/1, or 0/2, which are equivalent to 0 but work better with the explanation. I'm just going to use 0/1

Therefore, when you take the negative reciprocal of the slope of 0/1, then you end up with -1/0 as the slope of line n. When you divide by 0, the answer is always undefined. Therefore, the line has an undefined slope.

Another way to think about this is by thinking of Line m as a horizontal line. A line with a slope of 0 is just a horizontal line. Perpendicular lines are lines that meet at 90 degree angles. Therefore, the line that would meet with line m, line n, would be a vertical line. And since vertical lines have an undefined slope, line n would have an undefined slope.

Hope this helped!


reactant



product

If there are 4 grams of reactant, how many grams of product are produced by the chemical reaction?

Question 9 options:

0 grams


2 grams


4 grams


8 grams

Answers

Answer:

4 grams

Step-by-step explanation:

Mass is conserved, so if you start with 4 grams, you end with 4 grams.

plz help I need the answer plz

Answers

If the equation is

[tex] \frac 5 2 s = \frac 3 2 s + s[/tex]

that's true for all s, since 3/2+1=5/2

So all of them result in true statements

Answer: All of the above

Let's just do one for yuks, s=5.

(5/2) s = 25/2

(3/2)s + s = 15/2 + 5 = 15/2 + 10/2 = 25/2  

That checks.

The IPhone 7 costs about $220 for Apple to make, but they cost about $700 in stores. What is the markup percentage of the IPhone 7? (Round to the nearest

Answers

Answer:

The markup percentage of the IPhone 7 is  $218.18%.

Step-by-step explanation:

The IPhone 7 costs for Apple to make = $220

The cost in stores = $700

The difference between costing price and selling price = 700 -220 = $480

The markup percentage of the IPhone 7 = [tex]\frac{480}{220}[/tex] × 100

= $218.18

The markup percentage of the IPhone 7 is  $218.18%.

Final answer:

The markup percentage of an iPhone 7 is calculated by finding the difference between the selling and cost price, dividing this by the cost price and then multiplying by 100. According to these steps, the markup percentage of the iPhone 7 is approximately 218%.

Explanation:

The markup percentage indicates how much an item's price has increased from its original cost to make. It is calculated by finding the difference between the selling price and the cost to make, then dividing that by the cost to make, and then multiplying it by 100 to get the percentage.

To calculate the markup percentage of the iPhone 7:

Determine the difference between the selling price and the cost price. In this case, $700 (selling price) - $220 (cost price) = $480. Now divide the difference by the cost to make. $480 / $220 = 2.18. Finally, multiply by 100 to get the percentage. 2.18 * 100 = 218% (rounded to the nearest whole number).

Therefore, the markup percentage of the iPhone 7 is 218%.

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A 4-digit PIN number is selected. What it the probability that there are no repeated digits?

Answers

Final answer:

The probability of selecting a 4-digit PIN number with no repeated digits is 0.504.

Explanation:

The probability of selecting a 4-digit PIN number with no repeated digits can be calculated as follows:

For the first digit, there are 10 options (0-9).For the second digit, there are 9 options (since one has already been used).For the third digit, there are 8 options (since two have already been used).For the fourth digit, there are 7 options (since three have already been used).

Therefore, the probability is equal to:

P = (10/10) * (9/10) * (8/10) * (7/10) = 0.504

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Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to use 1/2 cup of sugar, how many batches can he make? Include partial batches (fractions) in your answer if there are any.​

Answers

Answer:

3 1/2 Batches.

Step-by-step explanation:

1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5

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