Determine the largest positive integer N such that 1005! is divisible by 10N.
9514 1404 393
Answer:
N = 250
Step-by-step explanation:
The way your question is written, the answer is a number of 2582 digits, much too large to show here. We assume you actually want N such that 10^N is the largest power of 10 that will divide 1005!.
__
That factor is limited by the number of factors of 2 and 5 in 1005!. Of those, there are far more factors of 2, so the actual limit is the number of factors of 5 in 1005!.
Every 5th number is divisible by 5, so there are 1005/5 = 201 numbers divisible by 5 in 1005!.
Every 5th one of those is divisible by another factor of 5, so an additional 201/5 ≈ 40.
Every 5th one of those is divisible by another factor of 5, so an additional 40/5 = 8.
Finally, every 5th one of those has yet another factor of 5, so an additional 8/5 ≈ 1.
Then the total number of factors of 5 in 1005! is 201 +40 +8 + 1 = 250.
That is, the number 1005! will end in 250 zeros. It will be divisible by 10^250.
N = 250
Multiply 546.1 × 0.52 = ____
Choose the equation of the the ellipse shown in the graph.
Answer: A
Hello,
Step-by-step explanation:
center =(-3,1)
a=2
b=7
[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]
II. Round to the nearest hundred.
11. 582
12. 1,234
13. 640
14. 770
15. 1,104
Answer:
11. 600
12. 1,200
13. 600
14. 800
15. 1,100
Step-by-step explanation:
look at the number in the 'tens' column. if the number is between 1-4, you round down, if the number is between 5-9, you round up.
205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
Answer: 164 students passed and 41 students failed.
Step-by-step explanation:
Let the number of students be x
x students failed, but 4 times the failed students passed.
So 4x students passed and x students failed.
4x + x = 205
5x = 205
x = 205/5
x = 41
41 times 4 is 164 and 41 times 1 is 41.
So 164 students passed and 41 students failed
Solve the given equation, enter your answer as "x= " and then your answer.
Example: x = 5
6=210
Answer:
×=204
Step-by-step explanation:
6=210
210-6
x=204
express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!
Answer:
(i) 2x+3y=9.3
5
ˉ
⇒2x+3y−9.3
5
ˉ
Comparing the equation with ax+by+c=0
a=2,b=3,c=−9.3
5
ˉ
Answer:
[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²
Step-by-step explanation:
Given
3x - x² ← factor out - 1 from each term
= - (x² - 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 3x
= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )
= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )
= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²
is statistics mathematics or science? defend your answer.
Answer:
There are few kind of statistics: first of all - Mathematiсal statistics. This is quite a mathematical science.
Its applications widely used in many branches of science. First of all (for me) in measurement theory. When used correctly, there is no objection to this science and its methods.
The use in the so-called "social sciences", primarily in sociology, raises many questions: first and foremost - how representative is the "sample"? To what extent does the question asked by the respondent dictate the “correct” (expected) answer? And so on. Of course, this is not a statistic, but mostly a science-like hype, covering up the absence of objective methods.
Hope this helps <3
Arrange the decimal numbers from largest to smallest.
Answer:
0.845, 0.839, 0.748, 0.712, 0.643
Answer:
0.845, 0.839,0.748,0.712,0.643
which expression is equal to 72 +63 ?
a. 9(8+7)
b. 8(9+7
c. 7 (10+9)
d. 6 (12+10)
Answer:
Your answer is option a.
Answer:
a. 9(8+7)
Step-by-step explanation:
If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:
(9*8) + (9*7)
Which leaves you with:
72 + 63
Whoever answers this get 50 point I need it ASAP tho
Step-by-step explanation:
For the parabola( top question)
X intercepts are (2,0) (4,0)Y intercepts are (0,4)Intervals of Increasing are [3, ♾)Intervals of decreasing are (- ♾, 3]The domain is All Real Numbers or (-♾, ♾)The range is [1, ♾)There is no maximum value of this function The minimum value is -1The axis of symmetry is x=3f(6)=4For the absolute value equation, bottom question
X intercepts is (2,0)Y intercepts are (0,3)The Intervals of Increasing are [2,infinity)The Intervals of decreasing are ( negative infinity,2]The domain is All Real Numbers or (negative ♾, positive ♾)Range is [0, positive ♾)There is no maximum value of the functionThe minimum value is 0f(-1)=4.5Answer:
Step-by-step explanation:
For the parabola( top question)X intercepts are (2,0) (4,0)Y intercepts are (0,4)Intervals of Increasing are [3, ♾)Intervals of decreasing are (- ♾, 3]The domain is All Real Numbers or (-♾, ♾)The range is [1, ♾)There is no maximum value of this function The minimum value is -1The axis of symmetry is x=3f(6)=4For the absolute value equation, bottom questionX intercepts is (2,0)Y intercepts are (0,3)The Intervals of Increasing are [2,infinity)The Intervals of decreasing are ( negative infinity,2]The domain is All Real Numbers or (negative ♾, positive ♾)Range is [0, positive ♾)There is no maximum value of the functionThe minimum value is 0f(-1)=4.5
that's the question ??
Step-by-step explanation:
Before we answer, the area of a Circle given it radius is
[tex]a = \pi r {}^{2} [/tex]
The area of a circle given it diameter is
[tex]a = \pi( \frac{d}{2} ) {}^{2} [/tex]
So let answers question 1-4.
1. The area is
[tex]1024\pi[/tex]
2. The area is
[tex]576\pi[/tex]
3.
[tex]1.225\pi[/tex]
4.
[tex]309.76\pi[/tex]
For the 5th problem, circumference is
[tex]\pi \times d[/tex]
where d is the diameter and
[tex]2\pi r[/tex]
where r is the radius.
A circumference of 100 m means the radius is 50 because
[tex]2\pi \times r = 100\pi[/tex]
[tex]r = 50[/tex]
So this means the area is
[tex]2500 {\pi}[/tex]
Round 123,949 to the underlined point. 4 is highlighted
[tex]\\ \sf\longmapsto 123,949[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 123,95[/tex]
5=5[tex]\\ \sf\longmapsto 123,9[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 124[/tex]
4 is less than 5[tex]\\ \sf\longmapsto 12[/tex]
2 is less than 5[tex]\\ \sf\longmapsto 1[/tex]
Note
Write the number until underlined point.I did it till end
Answer:
The number is 123949 (or 123.949 in case comma stands for decimal)
According the rounding rule
if the number to the right is ≥ 5, round up the number to the left, otherwise leave as is, if decimal the number to the right drops, if whole number it is replaced with zeroRound to the number 4, the second number from the right:
123950or
123.9511. There are 600 students in a school. If 20% students are girls, find the number of girls.
Answer:
120
Step-by-step explanation:
20% of 600
= 120 girls
Explanation
Total no. of students = 600%
20% of the total are girls
No. of girls = 20% of 600
20/100 × 600⅕ × 600 120No. of girls is 120
1. Corey wrote the number 47,378. How many times greater is the 7 in the thousands place, than the 7 in the tens place?
Answer:
100 times larger.
Step-by-step explanation:
The 7 in the thousands place can be written as 7000
The 7 in the tens place can be written as 70
Times greater = 7000 / 70 = 100
So the answer is 100 times larger for the 7 in the thousands place to the 7 in the 10s place.
3. Find (1 3)(x) when f (x) =
Vx+3
Vx+3 (1 point)
and
g(x)=
2x
x2 +6x+9
of g)(x) =
2x2
√x+3
(g)(x) =
2x2
OF 3)(x)
?? +9
of g)(x) =
x+3
2x²
22
Answer:
The choose 3.
[tex] \frac{x + 3}{2 {x}^{2} } [/tex]
Please help. I don’t understand these
Answer:
A.7x
B.8x -1
C.6x+12
D 4+3x
E.13x-7
(28)^3 + (-15)^3 +(-13)^3 calculate using identities
give free fire also
Answer:
answer is 16380
Step-by-step explanation:
answer is 16380
Answer:
16380Step-by-step explanation:
We can see that:
28 + (-15) + (-13) = 0Use the following identity:
a³ + b³ + c³ = 3abc, if a + b + c = 0Substitute the values to get:
28³ + (-15)³ + (-13)³ = 3*28*(-15)(-13) = 16380Which explanation uses the number line to show 5 + (-5) =0
Answer:
+5 is right and - 5 is left
Step-by-step explanation:
I. If 5 + (-5) = 0
then 5 - 5 = 0
If 5 is on the right side
then -5 is on the left side
Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them
Answer:
take a light bulb and a potato and some wires connect together will give light
Answer:
i have attached a pic of an idea that might help you
:)
Simplify
12 - 6(2x + 7)
Answer:
-12x - 30
Step-by-step explanation:
12 - 6(2x + 7)
=> 12 - 12x - 42
=> -12x - 30
Answer:
6 (-5-2x)
Step-by-step explanation:
12-6(2x+7)
6(2-(2x+7)) factor the expression
6(2-2x-7) remove parentheses
6(5-2x) answer!
Please help me please hurry
Answer:
A = $10.50
B = $17.50
C = $24.50
Step-by-step explanation:
Let ABC be an isosceles triangle at A. Take point D on side AC, point E on side AB such that AD = AE a) Compare the angles ABD and ACE b) Let I be the intersection of BD and CE. What kind of triangle is ΔIBC? Why ?
9514 1404 393
Answer:
a) they are congruent
b) isosceles; ∠IBC≅∠ICB
Step-by-step explanation:
a) We are given that ΔABC is isosceles, such that AB≅AC. Points D and E are located so that AD≅AE. Of course, ∠A≅∠A, so ΔACE ≅ ΔABD by SAS. Then angles ABD and ACE are congruent by CPCTC.
__
b) Angle IBC is the difference between angle ABC and angle ABD. Angle ICB is the difference between angle ACB and angle ACE. These differences are between values that are the same, so the differences are the same. That means ∠IBC≅∠ICB, and ΔIBC is isosceles.
A 90% confidence interval for a proportion is found to be (0.52, 0.58) . What is the sample proportion?
Explanation:
For the confidence interval (a,b), the midpoint is c = (a+b)/2
This midpoint is the sample proportion. This is because the confidence interval is built around this center point.
The midpoint of the interval (0.52, 0.58) is (0.52+0.58)/2 = 0.55
Solve for x: x – 23 = 2
Answer:
X=25
Step-by-step explanation:
This is because X has to be greater than 23. Because you are taking away 35 and the answer is 2, you have to add 23 and 2, and that gives you 25!
Subtract: 7 7/10 -3 4/5 =
Answer:
3 9/10
Step-by-step explanation:
in first step convert mix fraction into simple fraction then take LCM and then subtract it.
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70
Answer:
B: $0.60
Step-by-step explanation:
4x+6=8.40
4x=2.40
2.40 / 4 = .6
.6 = 0.60 or 60 cents
Answer:$0.60
Step-by-step explanation:
A bag a kibble is 6$
Subtract the cost for the kibble to the cost of all products.
$8.40
- $6.00
$2.40... is the cost for all 4 cans of cat food.
Then divide $2.40 by 4... That will be B) $0.60
which situation results in -6 as a final value
Answer:
Example:
0 - 6 = -6
4 - 10 = -6
!Can SOME1 Help! Help FAST
A gym membership has an enrollment fee of $25 and costs $33 each month. Which expression represents the cost of the gym membership for m months?
A. 25+33m=c
B. 25+33m
C. 33+25m=c
D. 33+25m
Answer:
A. 25+33m=c
Step-by-step explanation:
Because gym membership for m month will cost the enrollment fee along with the monthly fee multiplied by the number of months (m).
So, the expression will be:
25 + 33m = c