Explanation:
Start with 11, and count down until you reach 1. Multiply everything along the way.
11*10*9*8*7*6*5*4*3*2*1 = 39,916,800
Or a shortcut would be to say
11! = 39,916,800
The exclamation mark means factorial. It tells the calculator to follow the instructions mentioned above.
The number 39,916,800 is a little over 39.9 million, or you could say it's a bit smaller than 40 million.
A box contains 1 4/5 pounds of pasta. How many ounces of pasta are
in the box
Answer: 1 4/5 pounds is equal to 28.8 ounces
Step-by-step explanation:
1 pound is equal to 16 ounces.
How to calculate minimization of cost when given the marginal revenue
Answer: Cost is minimized at the levels of capital and labor such that the marginal product of labor divided by the wage (w) is equal to the marginal product of capital divided by the rental price of capital (r)
Step-by-step explanation:
Plsss helpp
f(x) = x2 What is g(x)?
g(x)-
-(1,9)
f(x)
х
-10
10
-10
O A. g(x) = (9x)2
O B. g(x) = (3x)2
O c. g(x) = 3x2
O D. g(x)=
90x)= (3x)
If the given function is f(x)=x², the value of g(x) will be (3x)².
What is a function?Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.
It is given that the coordinate values on the graph g (x) are (1, 9).
Now, For the given function,
g (x) = (3x)²
At point (1, 9)
g (1) = (3(1))²
g(1) = 3²
g( 1) = 9
Since, g(x) = (3x)² satisfies the given coordinate values it will be the obtained result.
Thus, the obtained function will be g(x)= (3x)².
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2.48 times 3.25 equals
The answer is 8.06.
The lengths of the 2 legs of right triangle AABC shown
below are given in inches. The midpoint of AB is how
many inches from A?
A. 16
B. 20
C. 21
D. 28
E. 40
Answer:
E. 40
Step-by-step explanation:
First, we can start out by stating that this is a right triangle, since it has a right angle, shown by the marker square in the corner of the triangle. The x part, is called the hypotenuse. When finding the value of the hypotenuse, we use a thing called the Pythagorean Theorem. This theorem is :
a^2 + b^2 = c^2
a is one side length, and b is the other. c is the hypotenuse. To find x, the hypotenuse, we simply plug in the values, and solve.
24^2+32^2 = c^2
576 + 1024 = c^2
1600 = c^2
40 = c
The answer is E. 40.
14÷2+3²×(7-2) pemdas order
Answer:
Step-by-step explanation:
14÷2+3²×(7-2) pemdas order
14 : 2 + 3^2 * (7 - 2) =
14 : 2 + 3^2 * 5 =
14 : 2 + 9 * 5 =
7 + 9 * 5 =
7 + 45 =
52
Rewrite 5 2/3 using radical notation.
The radical form of [tex]5^{\frac{2}{3}}[/tex] is [tex]\sqrt[3]{25}[/tex].
What is Radical Notation?If n is a positive integer that is greater than 1 and a is a real number then, n√a = [tex]a^{1/n}[/tex]. where n is called the index, a is called the radicand, and the symbol √ is called the radical.
Here, given value = [tex]5^{\frac{2}{3}}[/tex]
= [tex](5^2)^{1/3}[/tex]
= [tex](25)^{1/3}[/tex]
= [tex]\sqrt[3]{25}[/tex]
Thus, the radical form of [tex]5^{\frac{2}{3}}[/tex] is [tex]\sqrt[3]{25}[/tex].
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Jeremy wants to visit the Duck Pond. Which is a correct description of how to find the ordered pair for the Duck Pond?
Answer: 2,4
Step-by-step explanation:
Prime Factorization of 150
Answer:
2 , 3 , 5 , 5
Step-by-step explanation:
Prime numbers are numbers that are only divisible by itself and 1.
Divide 150 by primes:
150/2 = 75
75/3 = 25
25/5 = 5
Your prime factorization will be: 2 , 3 , 5 , 5.
Check:
2 * 3 * 5 * 5
= 6 * 25
= 150
~
Hiya !
I need help. . .
Which of the following is a rational number?
[tex]\sf{a) \: \sqrt{20}}[/tex]
[tex]\sf{b) \: \pi}[/tex]
[tex]\sf{c) \: \sqrt{21}}[/tex]
[tex]\sf{d) \: \sqrt{25}}[/tex]
(remember no calculator if you're trying to use it)
→ Make an explanation to this. don't cheat!
Answer:
root 25
Step-by-step explanation:
root 25 is 5, and every other number may not be able to be written as a whole number (please give brainliest)
Answer:
D) √(25)
Step-by-step explanation:
√(25) is a rational number because it is a perfect square of 5.
In the following exercises, identify whether each number is rational or irrational.
. (a) √25 (b) √30
Answer:
(a) √25 rational
(b) √30 irrational
Step-by-step explanation:
Note : only perfect squares have rational roots
25 = 5² then 25 is a perfect square
therefore √25 = 5 is a rational number
30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square
Therefore √30 is irrational.
Which is the greatest?
5/100 5/10 24/1000
Answer:
5/10
Step-by-step explanation:
To solve this problem we find equivalent fractions with the same denominator:
The LCM of 10,100 and 1000 is 1000. So we make all the denominators 1000:
5/100 = 50/1000
5/10 = 500/1000
24/1000 = 24/1000
Now we compare the numerators and see which is the largest number.
24 < 50 < 500
So 5/10 must be the greatest.
Hope this helped and brainliest please
3. If I give you £90 because I want to give you
90% of my prize, what did I win?
Answer:
81
Step-by-step explanation:
Multiply 90/100 with 90 = (90/100)*90 = (90*90)/100 = 81.
i got 100. not sure how the other guy got 81, but what i did is compare it to a test score or a discount. if you have a total of 100 possible points on the test with every question worth 10 points and i got 9 questions right, i got a 90 percent.
let's say a shopping discount. If you got a 90% discount for a item with original price of $100, it costs $10 with "90" being the amount you took off
if 100 isn't right, i honestly have no clue lol. good luck though
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=3x+5
s(x)=4x
Write the expressions for (r-s)(x) and (r*s)(x) and evaluate (r+s)(-2).
A function assigns the values. The value of (r+s)(-2) is equal to 9.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function r(x)=3x+5, while s(x)=4x, therefore, the expressions can be written as,
(r-s)(x) =r(x)-s(x) = 3x+5 - 4x = -x+5
(r*s)(x) = r(x)·s(x) = (3x+5)·(4x) = 12x² + 20x
The expression for (r+s)(x) can be written as,
(r+s)(x) = r(x)+s(x) = 3x+5+4x = 7x+5
(r+s)(-2) = 7(-2)+5 = -14+5 = 9
Hence, the value of (r+s)(-2) is equal to 9.
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A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?
Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. The solid could be a Triangular prism or a pyramid.
What is a solid?Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. Solid Geometry is the study of the characteristics, volume, and surface area of three-dimensional forms.
Given a solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross-section in the shape of a triangle. Therefore, the solid could be a Triangular prism or a pyramid.
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Answer: right cone because if you use a right cone and cut it perpendicular to the base you get a triangle making cone triangle the answer.
Need help with this problem, doesn't make sense to me.
Answer:
A = x² - 5x - 8
Step-by-step explanation:
Finding x
Area (deck) = Area (Rectangle) - [Area (bench) + Area (planter)]A = x(x - 4) - [ 2(6) + 1/2(2)(x - 4) ]A = x(x - 4) - [12 + x - 4]A = x² - 4x - 8 - xA = x² - 5x - 8
Find the first four terms of:
a) An arithmetic series with first term of 3 and sum to five terms is 75
[tex]\textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\[-0.5em] \hrulefill\\ a_1=3\\ n=5\\ S_5=75 \end{cases} \implies \begin{array}{llll} S_5=\cfrac{5(a_1+a_5)}{2} \\\\\\ 75=\cfrac{5(3+a_5)}{2} \end{array} \\\\\\ 150=5(3+a_5)\implies \cfrac{150}{5}=3+a_5\implies 30=3+a_5\implies \boxed{27=a_5} \\\\[-0.35em] ~\dotfill[/tex]
[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ n=5\\ a_5=27\\ a_1=3 \end{cases}\implies 27=3+(5-1)d \\\\\\ 24=(5-1)d\implies 24=4d\implies \cfrac{24}{4}=d\implies \boxed{6=d} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\LARGE Terms}}{3~~,~~\stackrel{3+6}{9}~~,~~\stackrel{9+6}{15}~~,~~\stackrel{15+6}{21}}~\hfill[/tex]
There are 12 turkey sandwiches and 8 ham sandwiches. There are 6 bags of chips and 10 bags of pretzels. What is the probability of selecting a turkey sandwich and a bag of pretzels?
a) 1/5
b) 3/8
c) 3/5
d) 5/8
The probability of selecting a turkey sandwich and a bag of pretzels is 3/8.
What is the probability?Probability determines the likelihood that an event would happen. The odds the event occurs is 1 and the odds that the event does not occur is 0.
The probability of selecting a turkey sandwich and a bag of pretzels = number of turkey sandwiches / total number of sandwiches x number of pretziel bags / total number of bags
12/20 x 10/16 = 3/8
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Pls help me and show work! Thank you <3
Answer: 22
Step-by-step explanation:
By the corresponding angles theorem, [tex]5x-16=2x+50 \longrightarrow x=\boxed{22}[/tex]
Which statement is true?
7.11>−7.1
7.11≤−7.1
7.11<−7.1
Step-by-step explanation:
I think 1 is correct..
all positive numbers are greater than negative. 7.11 is greater that -7.1
Answer:
7.11 > -7.1
Step-by-step explanation:
» Concept
Negative numbers will always be less than positive numbers. Negative numbers will always have the (-) sign to indicate its value.
» Solution
The only correct inequality is A. 7.11 > -7.1 because it displays that the positive number, 7.11, is greater than the negative number, -7.1.
I need help with the last two !!!
Step-by-step explanation:
G(x) = - x^2 + 10x
a + G(a) = a - a^2 + 10a = - a^2 + 11a or 11a - a^2 or a(11 - a)
1/G(a) = 1/(10a - a^2) = 1/a(10 - a)
jeff read 5 pages in 12 minutes. at this rate, how many pages can he read in 1 hour?
Answer:
25 pages
Step-by-step explanation:
60 minutes in 1 hour. 60/12=5 5 x 5 =25
What is the volumen , in cube centimeters, if a cube with a side length, s, of 0.2cm?
Answer:
[tex]\frac{1}{125}[/tex]cm³
Step-by-step explanation:
volume of cube= (side)³
0.2³ = [tex]\frac{1}{125}[/tex]
What is the formula for standard error of the mean?
1. What is the surface area of this rectangular prism?
A. 16 square units
B. 32 square units
C. 48 square units
D. 64 square units
Hi! :)
Answer:
B) 32 Square Units
Step-by-step explanation:
I counted the squares. <3
Solve for x in the inequality 11|x + 1| < 44
[tex]~~~~~~11|x+1| < 44\\\\\implies |x+1| < \dfrac{44}{11}\\\\\implies |x+1| < 4\\\\\implies x +1 > -4~~~ \text{and}~~~ x+1 < 4\\\\\implies x > -4-1~~~ \text{and}~~~~ x < 4-1\\\\\implies x > -5~~~~~~~~ \text{and}~~~~~ x < 3\\\\\text{Hence,}~~ -5 < x < 3[/tex]
does the formula matter in area?
Answer:
Yes
Step-by-step explanation:
You need the formula to solve area.
You must plug in / subsitute numbers in order to find the area.
Find the distance (A) for the bend of electrical conduit that is passing under the girder shown in the figure.?
Answer:
15 1/8"
Step-by-step explanation:
Adding the values
⇒ 9 3/4" + 2 1/8" + 3 1/4"
⇒ 13 + 2 1/8"
⇒ 15 1/8"
Solve the logarithmic equation. Show steps
[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \underset{\stackrel{\uparrow }{\textit{let's use this one}}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\log_4(x+10)-\log_4(x-2)=\log_4(x)\implies \log_4\left( \cfrac{x+10}{x-2} \right)=\log_4(x) \\\\\\ \stackrel{\textit{exponentializing both sides}}{4^{\log_4\left( \frac{x+10}{x-2} \right)}=4^{\log_4(x)}}\implies \cfrac{x+10}{x-2}=x\implies x+10=x^2-2x \\\\\\ 10=x^2-3x\implies 0=x^2-3x-10 \\\\\\ 0=(x-5)(x+2)\implies x= \begin{cases} 5~~\checkmark\\ -2 \end{cases}[/tex]
notice, -2 is a valid value for the quadratic, however, the argument value for a logarithm can never 0 or less, it has to be always greater than 0, so for the logarithmic expression with (x-2), using x = -2 will give us a negative value, so -2 is no dice.
A case of 24 cans of soup costs $38.16. What is the cost of 7 cans of soup?
Answer:
$11.13
Step-by-step explanation:
24 cans = $38.16
divide both sides by 24 to find the cost per can, as this leaves us with 1 can on one side
24 cans / 24 = $38.16 / 24
1 can = $1.59
multiply both sides by 7 to get 7 cans of soup on one side, which is what we want
1 can * 7 = $1.59 * 7
7 cans = $11.13