Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
At 10 AM Han and Tyler both started running towards each other from the opposite end of 10 mile path along the river. Han runs at a pace of 12 minutes per mile.Tyler wanted a piece of 15 minutes per mile.how far does Han one after an hour?
Answer:
Han will run 5 miles in 1 hour.
A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?
Answer:
92, Hope this helps
Step-by-step explanation:
10000-5200= 4800/52 = 92.307 rounded up = 92
Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?
Answer:
$34
Step-by-step explanation:
Take 15% and multiply by $39.99
.15 x 39.99 = 5.99 (or, 6 rounded up)
Then, subtract that from the original price. $39.99 - 5.99 = $34
Thirty-five less than the square of a number is the same as 2 times the number. Find the number
9514 1404 393
Answer:
-5 or 7
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
x^2 -35 = 2x
x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form
(x -7)(x +5) = 0 . . . . . factor
x = 7 or x = -5 . . . . solutions are values of x that make the factors zero
The number could be either -5 or +7.
Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00
Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.
________ ____ ______
Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?
A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls
Answer: B - 5 basketballs and 2 soccer balls
Step-by-step explanation:
Answer:B
Step-by-step explanation:
plz help!! will give brainliest!
Answer:
C) 13
Step-by-step explanation:
Ok so
8√3
Find the measure of the largest angle
15x
24x
21x
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
Need help with this one will mark brainliest
Answer:
Pretty sure it the 1st one
The table shows the cookie sales for Tina's troop. If each box costs $3.50, show two ways that
HELP PLZ!!!
Tina could find the troop's total cookie sales.
Kind of Cookie
Mint
Vanilla sandwich
Peanut butter
Number of Boxes
60 boxes
42 boxes
56 boxes
Answer:
you can multiply the number of cookies with the cost of each box
Step-by-step explanation:
60 (number of boxes) x 3.50 (the cost for each box) = $210
42 (number of boxes) x 3.50 (the cost for each box) = $147
56 (number of boxes) x 3.50 (the cost for each box) = $196
I hope this helpsss :)
A pizza with one topping costs $11.
Each additional topping costs $2
more. Write a recursive formula
and an explicit formula for the
situation.
explicit formula:
recursive formula:
Given:
A pizza with one topping costs $11. Each additional topping costs $2 more.
To find:
The recursive formula and an explicit formula for the situation.
Solution:
The sequence of costs of pizza is
11, (11+2), (11+2+2), ...
11, 13, 15, ... are in A.P.
Here,
First term: a=11
Common difference: d=2
Explicit formula of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=11+(n-1)2[/tex]
[tex]a_n=11+2n-2[/tex]
[tex]a_n=9+2n[/tex]
Therefore, the explicit formula for the situation is [tex]a_n=9+2n[/tex].
Recursive formula of an A.P. is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]a_1[/tex] is first term and d is common difference.
[tex]a_n=a_{n-1}+2[/tex]
Where, [tex]a_1=11[/tex].
Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].
please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove
Answer:
(34-4)/2
Step-by-step explanation:
First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D
How much cinemeters is 5 inches
Answer:
5 inches is equal to 12.7 centimeters.
Step-by-step explanation:
There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.
Answer:
12.70 cm hope it is right
Step-by-step explanation:
-22.8 = 6n helllllpppppp
Answer:
n = -3.8
Step-by-step explanation:
1) In the given ABC; AB = BC and BD =
BC and BD = CD. Find the value
of a°, bº and cº.
Answer:
a = b = c = 45°
Step-by-step explanation:
[tex]In\: \triangle BDC, \\\\
BD = CD.... (given) \\\\
\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\
\therefore a\degree = b\degree.... (1)\\\\
m\angle BDC= 90\degree \\\\
\because m\angle BDC + a\degree + b\degree=180\degree \\\\
90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\
2a\degree=180\degree -90\degree\\
2a\degree= 90\degree\\\\
\therefore a\degree=\frac{ 90\degree}{2} \\\\
\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\
\implies \huge\red {\boxed { b\degree=45\degree}} \\\\
In\: \triangle ABC, \\\\
AB = BC.... (given) \\\\
\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\
\therefore c\degree = b\degree\\\\
\because b\degree=45\degree \\\\
\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]
A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal.
Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
27
Step-by-step explanation:
im smart
Write the mixed number as a percent.
4 7/500
Answer:
4 7/500 as a percent is 401.4%
The mixed fraction [tex]4\frac{7}{500}[/tex] can be represent as 401%.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction : 4 7/500
Now, writing the fraction in normal fraction form
= 4 7/500
= 2007/500
Now, to convert into percent
= 2007/ 500 x 100
= 2007/ 5
= 401%
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ5
What’s the area? Please help :)
Answer:
252 sq. in.
Step-by-step explanation:
divide it into sections like this
12*15=180
3*6=18
6*9=54
then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.
I'm walking and walking
Answer:
Chicken feed
Step-by-step explanation:
Chicken feed: .70
Goat feed: .80
Dog feed: .75
Pig feed: .79
Answer:
Goat Feed
Step-by-step explanation:
Chicken- 1.40
Goat- 1.25
Dog- 1.33
Pig- 1.265823
Please help me now
Answer:
Step-by-step explanation:
C: Side-Angle-Side
7-x/3x+12 is a rational expression. The domain of this expression is all real numbers except____?
Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?
Answer:
i. $375
ii, $2875
Step-by-step explanation:
Given
Princinpal= $2,500
rate= 7.5%
time= 2 years
Required,
The simple interest, and the final amount
Step two:
SI= PRT/100
SI= 2500*7.5*2/100
SI=37500/100
SI=$375
The simple interest is $375
And the final amount = $2,500 +$375= $2875
24) 30 people are running a 5k. How many different ways can the runners finish in 1st, 2nd, and
3rd place?
Answer:
90 different ways
Step-by-step explanation:
30 people can finish first, 30 people can finish 2nd, 30 people can finish 3rd. Ends up being 90 different outcomes.
1,1,2,3,5,8, ______, ______, _______, _________, _______.
What is the filling blanks and Conjecture?
The ratio of pies to cakes in Susan's bakery is 3:1. Choose ALL statements that correctly show this relationship.
A)
For each pie, there are three cakes.
B)
For each cake, there are three pies.
C)
For every three cakes, there is one pie.
D)
For every three pies, there is one cake.
E)
For every three pies there are three cakes.
Simplify each expression. (Will Give Brainlest)
Answer:
0.88
Step-by-step explanation:
-5.37 + 8.14 - 1.89
-5.37 + 6.25
= 0.88
Step-by-step explanation:
please i worked on paper worksheet
please see it
HIIIIIIIIIIIIIIIIII
ADDDDDDDDD MEEEEEEEHHHHHHHHHHHH!!!!!!!!!!!!!!!!!
PLLLLLLLLLSSSSSSSSSSSSSSSS
Answer:
40, because 40 is 2/5ths of 100.
Mark brainlyest pls
Step-by-step explanation:
Answer:
hi
the answer is 60
Step-by-step explanation:
hope it helps and have a nice day!!! :)
Brainiest is appreciated it would really help
[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(
Answer:
[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]
Step-by-step explanation:
[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]
We can use Part I of the Fundamental Theorem of Calculus:
[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.
The Additivity Rule for Integrals states that:
[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.
[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.
The Order of Integration Rule states that:
[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.
[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.
When taking the derivative of an integral, we can follow this notation:
[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variableFor the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace
[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.
[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]Rearrange the terms to be in order from the highest degree to the lowest degree.
[tex]\displaystyle2x^5-8x^2+2x-2[/tex]This is the derivative of the given integral, and thus the solution to the problem.
what percent of 30 is 16.5..................................
If line a and b are parallel,Which angles are vertical angles ?
Answer:
d
Step-by-step explanation:
Answer:
C, ∠7 and ∠3
100% Sure
What is the value of the expression below when x=5?
Answer:
790
Step-by-step explanation:
You put 5 instead of x and you calculat
6*5^3 +8*5= 750+40=790