The password format is = inpray93
vowel , consonant, consonant, consonant, vowel, consonant, number, number.
There are 21 consonants, 5 vowels and 10 number choices (0-9)
Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices are available and for 7th and 8th position there are 10 choices (0 to 9).
Passwords are not case sensitive which means upper case and lower case letters are same.
So, the number of passwords can be =
[tex]5\times21\times21\times21\times5\times21\times10\times10[/tex]
= 486202500
Part (b) question is not given. But it can be opposite to the first part i.e when the password letters are case sensitive.
This means all the letters are different.
So, number of passwords will be =
[tex]10\times42\times42\times42\times10\times42\times10\times10[/tex]
= 31116960000
( please help this is the last question and i have 15 min left, thank you for the help!)
Find the difference.
Answer: Defualt
Step-by-step explanation: Dan
Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 miles in 6 hours. The second day, they drove 250 miles in 5 hours. The third day, they arrived at the park after driving for 3 hours. How many miles did they drive on the third day?
Answer:
150 miles
Step-by-step explanation:
Find the unit rate (MPH) by dividing miles travlled by hours.
300/6 = 50 MPH
250/5 = 50 MPH
Multiply the hours on day 3 (3) by 50 MPH
3*50 = 150 miles
Answer:
150 miles
Step-by-step explanation:
The relationship between speed, time and distance is such that the product of speed and time is distance.
Given that they drove the same speed throughout the trip
Speed on day one given that distance covered is 300 miles in 6 hours,
Speed = 300 miles/ 6 hours
= 50 miles per hour
Speed on day two given that distance covered is 250 miles in 5 hours
= 250 miles/ 5 hours
= 50 miles per hour
If on the third day, the speed is maintained and they drove for 3 hours,
Distance covered = 50 miles per hour × 3 hours = 150 miles
Each hour, the number of bacteria in Dr. Nall's petri dish tripled. What percent is the population compared to the population the hour before?
Answer:THE ANSWER IS
300% PLEASE BRAINEST ME!
Answer:
The answer is D hope this helps
Step-by-step explanation:
The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth or decay. b) Find the number of bacteria after 2 days c) How many hours will it take for the number of bacteria to reach 4000? d) How long will it take for the number of bacteria to triple?
Answer:
a) [tex]N_0=250\; k=0.15 [/tex]
b) 334,858 bacteria
c) 4.67 hours
d) 2 hours
Step-by-step explanation:
a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.
Another way to see that is the following:
Initial number of bacteria is N(0), which implies [tex]t=0[/tex]. And [tex]N(0)=N_0[/tex]. The process is:
[tex]N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250[/tex]
b) After 2 days means [tex]t=48[/tex]. So, we just replace and operate:
[tex]N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}[/tex]
c) [tex]N(t_1)=4000; \;t_1=?[/tex]
[tex]N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h [/tex]
d) [tex]t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)[/tex]
[tex]N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h [/tex]
the question is down below
Answer:
C) 132 sq. cmStep-by-step explanation:
We must calculate the lateral area of a cylinder.
The formula is:
[tex]A=2\pi rH[/tex]
r - radius
H - height
We have H = 6 cm and r = 3.5.
Substitute:
[tex]A=2\pi(3.5)(6)=42\pi\ cm^2[/tex]
Use [tex]\pi\approx\dfrac{22}{7}[/tex]
[tex]A\approx42\left(\dfrac{22}{7}\right)=(6)(22)=132\ cm^2[/tex]
PLLLLZ I WILL GIVE BRAINIEST ANSWER AND 72 PTS
A 500 mg known substance in fossils decays at a rate of 10% per year. Scientists find a fossil with 295.25 mg of the known substance. How old is the fossil?
Answer:
x ≈ 5 years
Step-by-step explanation:
Given amount = A = 500 mg
Decay rate = r = 10% per year
Remaining amount = L = 295.25 mg
The formula to calculate remaining amount after x years decay =
L = A((100-r)/100)^x
By putting values in this formula, we get
295.25 = 500 ((100-10)/10)^x
295.25 = 500 (0.90)^x
295.25/500 = 0.90^x
0.5905 = 0.90^x
0.90^x =0.5905
taking log on both sides
ln(0.90^x) =ln(0.5905)
x*ln(0.90) =ln(0.5905) using property of log
x = ln(0.5905)/ln(0.90)
x = 4.9984
x ≈ 5 years
Each car has 5 wheels. There are 74 wheels. How many cars are there? How many wheels left over?
Answer: 14 cars 4 left over
Step-by-step explanation:
74/5=14.8
14 x 5 = 70
4 wheels left over
Dennis drew the rectangle on grid paper. What is the perimeter of the rectangle dennis drew.
(2l+2w) is that right
Plz help me on this....
WILL GIVE BRAINLIEST
Answer:
= 22x - 9
Step-by-step explanation:
To find the perimeter of a triangle, we add the three sides
P=(8x-2) + (5x-4) + (9x-3)
Combine like terms
P = 8x+5x+9x + (-2-4-3)
= 22x - 9
Answer:
22x - 9
Step-by-step explanation:
Its easy.
Jakes family was on vacation for two weeks and five days. Seth's family was on vacation for three weeks and two days.How many fewer days was Jake on vacation than Seth.
Answer:
j:19 days
s:23 days
23-19=4
4 days
Step-by-step explanation:
Find the specific solution of the differential equation dy/dx equals the quotient of 2 times y and x squared with condition y(-2) = e. (4 points)
A. y equals negative 1 minus 2 divided by x
B. y equals e raised to the negative 2 over x power
C. y equals negative 1 times e raised to the 1 over x power
D. None of these
Answer:
B. y = e^(-2/x).
Step-by-step explanation:
dy/dx = 2y / x^2
Separate the variables:
x^2 dy = 2y dx
1/2 * dy/y = dx/x^2
1/2 ln y = = -1/x + C
ln y = -2/x + C
y = Ae^(-2/x) is the general solution ( where A is a constant).
Plug in the given conditions:
e = A e^(-2/-2)
e = A * e
A = 1
So the specific solution is y = e^(-2/x).
Final answer:
The separable differential equation [tex]dy/dx = 2y/x^2[/tex] can be solved by separating variables, integrating both sides, and then applying the given initial condition y(-2) = e to find the specific solution, which is [tex]y = e^{-2/x},[/tex] corresponding to answer option B.
Explanation:
To solve the given separable differential equation [tex]dy/dx = 2y/x^2[/tex], we first separate the variables:
[tex]\( \frac{dy}{y} = \frac{2}{x^2}dx \)[/tex]
Next, we integrate both sides:
[tex]\( \int \frac{1}{y}dy = \int 2x^{-2}dx \)[/tex]
Which gives:
[tex]ln|y| = -2/x + C[/tex]
Now, we apply the initial condition y(-2) = e to find C:
ln(e) = [tex]-2/(-2) + C \Rightarrow 1 = 1 + C \Rightarrow C = 0[/tex]
Thus, the specific solution is:
[tex]y = e^{-2/x}[/tex]
So, the correct answer is option B, y equals e raised to the negative 2 over x power.
The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters. Find the length of the other leg.
The first person who answers I'll give brainlyest
Answer:
6√3 cm
Step-by-step explanation:
The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters then the other leg is 6√3
What are the coordinates of the point that is 1/6 of the way from a(14,-1) b(-4,23)
Answer:
[tex]\text{The coordinates of point is }P(a,b)=(\frac{80}{7}, \frac{17}{7})[/tex]
Step-by-step explanation:
[tex]\text{Given the coordinates of point that is }\frac{1}{6}\text{ of the way from a(14, -1), b(-4, 23)}[/tex]
[tex]\text{If a point }P(a, b)\text{ divides the line joining two points }(x_1,y_1)\text{ and }(x_2, y_2)\\ \text{ in the ratio m:n internally, then the coordinates of point P are given by}[/tex]
[tex]P(a,b)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex]
The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6
[tex]P(a,b)=(\frac{1(-4)+6(14)}{1+6}, \frac{1(23)+6(-1)}{1+6})[/tex]
[tex]P(a,b)=(\frac{80}{7}, \frac{17}{7})[/tex]
Find the limit if it exits.
Answer:
C. 20
Step-by-step explanation:
The given limit is
[tex]\lim_{x \to 2} (3x^3 +x^2-8)[/tex]
This a limit of a polynomial function.
We plug in the limit directly to obtain;
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=3(2)^3+(2)^2-8[/tex]
We simplify to get;
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=3(8)+4-8[/tex]
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=24+4-8[/tex]
[tex]\lim_{x \to 2} (3x^3 +x^2-8)=20[/tex]
The correct choice is C
Write log (x^2-9) - log(x+3) as single logarithm.
Answer:log(x-3)
Step-by-step explanation:
log(A)-log(B) is log(A/B) then this would be log[(x^2-9)/(x+3)]
x^2-9 is (x-3)(x+3) then the answer is log(x-3)
Match the expression with its name 3x^2 -6x +10
Answer:
A second degree trinomial or a quadratic expression.
Step-by-step explanation:
The expression;
3x^2 -6x +10 , is a Quadratic expression or a second degree trinomial.
A Trinomial is a three term polynomial like the one above; that is,
3x^2 -6x +10.
A second degree trinomial or polynomial is an expression of the form.
ax2 + bx + c , where a ≠ 0.
(9CQ) The series 1/25+1/36+1/49... is convergent...
True or False
Answer:
True
Step-by-step explanation:
We have the serie:
[tex]\frac{1}{25}+ \frac{1}{36} + \frac{1}{49}+...[/tex]
To test whether the series converges or diverges first we must find the rule of the series
Note that:
[tex]5^2 = 25\\\\6^2 = 36\\\\7^2 = 49[/tex]
Then we can write the series as:
[tex]\frac{1}{5^2}+ \frac{1}{6^2} + \frac{1}{7^2}+...[/tex]
Then:
[tex]\frac{1}{5^2}+ \frac{1}{6^2} + \frac{1}{7^2}+... = \sum_{n=5}^{\infty}\frac{1}{n^2}\\\\\sum_{n=5}^{\infty}\frac{1}{n^2} = \sum_{n=1}^{\infty}\frac{1}{(n+4)^2}[/tex]
The series that have the form:
[tex]\sum_{n=1}^{\infty}\frac{1}{n^p}[/tex]
are known as "p-series". This type of series converges whenever [tex]p > 1[/tex].
In this case, [tex]p = 2[/tex] and [tex]2 > 1[/tex]. Then the series converges
Let f(x) = x2 + 6 and g(x) = x + 8x g ( x ) = x + 8 x . Find ( f o g)( -7)
Answer:
3975
Step-by-step explanation:
fog functions are basically f(g(o)).
So for this problem, it would be f(g(-7)).
Plug in -7 to the g(x) equation first, and you should get -63.
Then plug -63 into the f(x) equation, and you should finish with 3975.
An estimated 3 out of every 25 men are left-handed what is the percent of man that are left-handed
Answer:
12% of men are left-handed.
Stephen purchases a square-shaped canvas to use for a painting. The diagonal of the square is 10 inches longer than the length of its sides. Stephen uses the Pythagorean theorem to create the equation x2 + x2 = (x + 10)2 to determine the side length, x, of the canvas. The side length of the canvas is best found by because the equation is . Solving the equation produces two measurements, and must be discarded for being unreasonable.
The side length of the canvas is best found by using the quadratic formula
because the equation is prime. Solving the equation produces two
approximate measurements, and one must be discarded for being
unreasonable.
I took the test and this was correct.
Use Euler's Formula to find the number of vertices in a polyhedron with nine faces: one octagon and eight triangles.
Answer:
The number of vertices in the polyhedron is [tex]9[/tex]
Step-by-step explanation:
we know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
so
[tex]V - E + F = 2[/tex]
In this problem we have
[tex]F=9, E=8+8=16[/tex]
substitute and solve for V
[tex]V - 16 +9 = 2[/tex]
[tex]V = 2+7=9[/tex]
Find the exact value of sine, cosine, and tangent of A and T for each triangle.
Answer:
See below
Step-by-step explanation:
7)
AT² = 11² + 4² = 121 + 16 = 137
AT = √137
sinA = DT/AT = 11/√137 = (11√137)/137
cosA = AD/AT = 4/√137 = (4√137)/137
tanA = DT/AD = 11/4
sinT = AD/AT = 4/√137 = (4√137)/137
cosT = DT/AT = 11/√137 = (11√137)/137
tanT = AD/DT = 4/11
9)
AT² = 8² + 3² = 64 + 9 = 73
AT = √73
sinA = LT/AT = 8/√73 = (8√73)/73
cosA = AL/AT = 3/√73 = (3√73)/73
tanA = LT/AL = 8/3
sinT = AL/AT = 3/√73 = (3√73)/73
cosT = LT/AT = 8/√73 = (8√73)/73
tanT = AL/LT = 3/8
11)
6² = 4² + RT²
36 = 16 + RT²
RT² = 20
RT =√20 = √(4× 5) = 2√5
sinA = RT/AT = (2√5)/6 = (√5)/3
cosA = AR/AT = 4/6 = 2/3
tanA = RT/AR = (2√5)/4 = (√5)/2
sinT = AR/AT = 4/6 = 2/3
cosT = RT/AT = (2√5)/6 = (√5)/3
tanT = AR/RT = 4/(2√5) = (2√5)/5
If x varies inversely with y and x = 4 when y = 8, find x when y = 16.
Answer:
x=2
Step-by-step explanation:
The formula for inverse variation is
xy = k
We know x = 4 and y = 8
4*8= k
32 = k
xy = 32
We want to find x when y = 16
x*16 = 32
Divide each side by 16
16x/16 = 32/16
x =2
Answer:
xy=32
16x=32
x=2
This is a number greater than one, which can only be divided by itself and one.
Answer:
Step-by-step explanation:
Well 7 is the only number that can be divided by itself and 1
Answer:
Hello!
Great question.
The correct answer would be "Prime Number."
Step-by-step explanation:
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
Courtney is a retail store manager and will make $40000 this year. She expects to pay 28% of her income in tax, how much money will she make after taxes?
➷ Find the multiplier:
28/100 = 0.28
1 - 0.28 = 0.72
Multiply the total amount by this multiplier:
40,000 x 0.72 = 28,800
She will make $28,800
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
She will make 28,800 dollars after tax.
Step-by-step explanation:
just subtract 28 percent of 40,000.
Or even simpler just follow peachy's instructions cause she/he did her crud right. a percentage is the same as a decimal. 1 percent is 0.01. since 28 percent is 0.28 we subtract 0.28 from one, because 1 is 100 percent. Also,all of this is the same as subtracting 28 percent of 40,000 from 40,000 1 - 0.28= 0.72, and multiply 40,000 by 0.72.
All credit on this part is peachy's thank her/his answer and give her/him brainliest. :)
btw why i say him/her, he/she, and her/his is because I dot want to assume gender
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many banana splits were sold?
Answer:
The number of banana splits sold was [tex]28[/tex]
Step-by-step explanation:
Let
x-----> the number of sundaes sold
y-----> the number of banana splits sold
we know that
[tex]2x+3y=156[/tex] -----> equation A
[tex]x=y+8[/tex] ----> equation B
substitute equation B in equation A and solve for y
[tex]2(y+8)+3y=156[/tex]
[tex]2y+16+3y=156[/tex]
[tex]5y=156-16[/tex]
[tex]5y=140[/tex]
[tex]y=28[/tex]
(15-16) Consider the Infinite Geometric Series:
a) Find the partial sums S_n for n = 1, 2, 3, and 4.
b) Does the series have a sum?
15 Answer: S₁ = 1 S₂ = 4 S₃ = 13 S₄ = 40 Sum = NO
Step-by-step explanation:
1 + 3 + 9 + 27 + ... [tex]\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}[/tex]
16 Answer: [tex]\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}[/tex]
[tex]\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}[/tex]
If f(x)=-3x+8,find (f)5 A.-7 B.5 C.-5 D.7
Answer:
A.-7
Step-by-step explanation:
f(x)=-3x+8,
f(5) means let x=5
f(5) = -3(5) +8
f(5) = -15+8
f(5) = -7
Tommy has 5 jars of marbles. Each jar is 2/3 filled with marbles. How many jars of marbles does Tommy have
Tommy has 3 and 1/3 jars but 3 of them are full .
Okay so 5*2/3 =10/3 which is 3 1/3
One fifth of the twenty five people in the bakery made a preorder how many did not make a preorder
One fifth is five people. Twenty five minus five is twenty. So twenty people did not preorder.