What is the value of 11!A). 39,916,800D). 90,000,000B). 900,000C). 3,628,800
Answers
The expression for 11! is,
\(11!=11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1\)The result obtained after multiplying the numbers is,
\(\begin{gathered} 11!=11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1 \\ =39,916,800 \end{gathered}\)So option A is correct.
Related Questions
tolong bantu jawab please, makasih sebelumnya!
Answers
Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
There are five main roads between the cities A and B and 4 between B and C. In how many ways can a person drive from A to C and return without driving on the same road twice?
Answers
There are 20 possible routes that a man could take to go between cities and then take a different route back.
What is meant by permutation?In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.
Let the number of roads between the cities A and B = 5.
The rules of permutation must be used in this situation.
A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.
The man uses five different routes to get from A to B because there are five different routes accessible.
He can get back by 4 (5 1) methods because he needs to take a different route.
Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.
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Kira invested $800 in a fund for 6 years and was paid simple interest. the total interest that she received on the investment was $240. as a percentage, what was the annual interest rate of her investment?
Answers
Answer:
5%
Step-by-step explanation:
$240 divided by 6 years = $40 per year.
This means that the interest rate was 40/800 = 1/20 = 5%
Hans deposits $6000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years?
Answers
Answer:
Hans deposits $6000 into an account.
=> Principal P = 6000
Simple interest rate 5% per year.
=> Rate R = 5% = 5/100 = 0.05
The formula to calculate the amount of interest after 4 years:
A = P x R x years = 6000 x (5/100) x 4 = 1200$
Hope this helps!
:)
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
a truck costs 40,000. it depreciates in value 5000 dollars per year write a linear model in the form v(t)=mt+b where v(t) represents the current value of the truck after t years of owning it
Answers
answer : V(t) =40,000- 5000t
explanation:
Depreciation
Depreciation is an annual and systematic reduction in the value of a fixed or capital asset following the assumption of matching which says the revenue should be matched with the expense incurred to earn that.
Value of asset at any point of time = cost - accumulated depreciation till that time
Cost = $40,000
Accumulated depreciation = sum of depreciation charged so far, since the depreciation is constant on annual basis it = 5000t for t years
What is the name of the object pictured below?
Answers
Answer:
b
Step-by-step explanation:
Answer: D) KJ
Step-by-step explanation:
The object shown is a ray. It has a fixed starting point, but does not have an endpoint.
Which expression is equivalent to 3sqrt 2y^3 x 7sqrt 18y , if y > 0
Answers
Answer:
126y^2
Step-by-step explanation:
HELP ASAP! HELP ASAP!
Answers
Answer:
The answer is b because if you move it to the right you don't go to the other side
please solve this problem and find the value of x
Answers
Answer:
x = 5
Step-by-step explanation:
Since the base angles are congruent then the triangle is isosceles with the 2 legs being congruent, then
9x - 5 = 4x + 20 ( subtract 4x from both sides )
5x - 5 = 20 ( add 5 to both sides )
5x = 25 ( divide both sides by 5 )
x = 5
The polynomial p(x)= x3 + 7x2 – 36 has a known factor of (x + 3).
Answers
Given m∥n, find the value of x.
Answers
Answer:
30°
Step-by-step explanation:
They are alternate interior angles, so they are equal.
30°
1. A store in Grand Rapids, Michigan, advertised a side-by-side
refrigerator for $1,699.99.
a. What is the sales tax if the combined state and city rate is 6%?
b. What is the total purchase price?
Answers
The store Grand Rapids in Michigan placed and advert for a refrigerator for $1,699.99, also the tax rate is 6%.
Total cost = Tax + cost of refrigerator
$2719.984
Solution
let us find 6% of $1,699.99, this will be the amount paid as tax
Tax = 6/100*$1,699.99
Tax = 0.6*1,699.99
Tax = $1019.994
Now let us find the total amount paid for the refrigerator
This will be the cost of the refrigerator plus the Tax paid
Total = 1,699.99+1019.994
Total = $2719.984
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how would I find the area and perimeter
Answers
The little lines through the 4 sides mean all the sides are the same length.
The area is side x side = 8 x 8 = 64 square cm.
Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.
Answer:
Perimeter
P =a+a+a+a =4a
P = 4*8
P=32cm
Area
A = a*a = \(a^{2}\)
A = \(8^{2}\)
A = 64\(cm^{2}\)
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
Answers
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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How many years it will take to double your money if your
beginning balance is $1,000.00 and earns 10% interest
compounded quarterly?
Answers
Answer:
Step-by-step explanation:
The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip from the movie, Die Hard 3. Characters, John McClane and Zeus Carver, are challenged with getting exactly 4 gallons of water on a scale using only a 5-gallon and 3-gallon container. The clock is ticking, and they only have seconds to spare. Sylvia uses this video clip as?
Answers
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.
A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.
Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.
The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."
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What is the answer and how do I solve this problem. It’s a two-parter question
Answers
Answer:
The solution to the inequality is;
\(\lbrace x|x>-6\rbrace\)And the graph that can represent the solution is;
Explanation:
Given the inequality;
\(-3x<18\)solving for x;
\(\begin{gathered} -3x<18 \\ \text{divide both sides by -3;} \\ \frac{-3x}{-3}<\frac{18}{-3} \\ x>-6 \end{gathered}\)The solution to the inequality is;
\(x>-6\)Therefore, the solution to the inequality is;
\(\lbrace x|x>-6\rbrace\)And the graph that can represent the solution is;
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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Two equivalent expressions are shown in the equation
where a and b are both integers.
a(7x + 3) = b + 14x
Answers
Answer:
3a-b=14x-7ax
Step-by-step explanation:
Two equivalent expressions are shown in the equation :
a(7x + 3) = b + 14x
Let it assumed to form an equation in terms of a and b.
Opening brackets of both sides,
7ax+3a=b+14x
Taking constant terms to LHS and variables to RHS
3a-b=14x-7ax
Hence, the equation is "3a-b=14x-7ax".
20p-8p-6p=12 please make sure it's right
Answers
Answer: step by step
Step-by-step explanation:
not totally sure what you're asking but in this equation p=2
An angle measures 130° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
An angle measures 130° more than the measure of its supplementary angle.
Therefore the required angle is (180°-130°)°=50°
50° is the right answer.The measure of the angle is A = 50° and the supplementary angles are given by 130° and 50°
What are Supplementary and Complementary Angles?Supplementary angles are two angles that have a sum of 180°.
Complementary angles are two angles that have a sum of 90°.
Given data ,
Let the first angle be represented as A
Now , the value of A is
Let the second angle be represented as B
And , the value of B is B = 130°
The angles A and B are supplementary
So , A + B = 180°
On simplifying , we get
The measure of A + 130° = 180°
Subtracting 130° on both sides , we get
The measure of angle A = 180° - 130°
The measure of angle A = 50°
Hence , the measure of angle is 50°
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A rectangle has side lengths, in centimetres, of w and w-2.
The perimeter of the rectangle in smaller than 24cm. Use this information to write a double inequality for w.
Answers
Answer:
1. P = 0 < 2w + 2(w-2) < 24
2. 1 < w < 7
Step-by-step explanation:
1. The formula for perimeter is 2 times the Length plus 2 times the width of the side.
P = 2L + 2W
2. If the perimeter needs to be less than 24 cm, then we can create the following inequality because the perimeter has to be greater than zero as well.
0 < 2L + 2W < 24 cm
3. We can now plug the length and width values into the inequality.
L = w and W = w - 2
0 < 2w + 2(w-2) < 24
4. Now we can combine like terms and simplify.
0 < 2w + 2w - 4 < 24
0 < 4w - 4 < 24
4 < 4w < 28
1 < w < 7
which diagram below appears to show a pair of perpendicular lines Diagram A Diagram B Diagram C. Explain your Answer.
Answers
The answer for it is diagram B because it does not cross or have parallel lines
In the similar triangles below , what is the measure of D
Answers
In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.
In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.
This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.
To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.
We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.
So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.
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What is 2/3 by 4/5 in fraction
Answers
Answer: If you mean to multiply, the answer is 8/15.
Step-by-step explanation:
Multiply numerator by numerator and denominator by denominator.
2 x 4 = 8
3 x 5 = 15
ANSWER: 8/15
6 is 30% of _________ .
Answers
Answer:20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let N be the number
"Is" in this case is =
"Of" means "multiply"
So we got
6 = .3N divide both sides by .3
6/.3 = 20
N=20
Probability of rolling a composite number on a dice and the coin landing on tails
Answer choices are 1/8, 2/3 and 5/6
This is 7th grade math btw
Answers
Answer:
5/6.
Step-by-step explanation:
The only composite numbers on a die are 4 and 6, so the probability of landing on them is 2/6 or 1/3. The probability of landing on tails on a coin is 1/2. Add them together (1/3 + 1/2) and you get the total probability of 5/6.
I hope this helps.
If the sum of a number and four is tripled the result is eight less than twice the number
Answers
Answer:
The number is -20.
Step-by-step explanation:
If x is the number, then 3(x+4)=2x-8.
3x+12=2x-8
x=-20
Answer:
- 20
Step-by-step explanation:
if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8
x = -20
Percent decrease from 275 to 242