Answer:
441
Step-by-step explanation:
200kg= 1 pound/0.4536kg
Cross the kg and you can convert that to 441 pounds
The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)^t, where t is the elapsed time
in hours. What is the inverse function?
Answer:
C. P–1(t) = log5 (StartFraction t Over 19,300 EndFraction)
Step-by-step explanation:
The inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]
What is an inverse function?The inverse function is a function obtained by reversing the given function. An inverse is a function that serves to “undo” another function. The domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function.
For the given situation,
The function P(t) = 19,300(5)^t, where t is the elapsed time in hours.
Steps to find inverse function:
Step 1: Replace P(t) as y
[tex]P(t) = 19,300(5)^t[/tex]
⇒ [tex]y= 19,300(5)^{t}[/tex]
Step 2: interchange t and y
⇒ [tex]t = 19,300(5)^y[/tex]
Step 3: Now solve for y
⇒ [tex]\frac{t}{19300} =5^y[/tex]
By law of logarithm,
[tex]a^{x} = y[/tex]
⇒ [tex]log_{a} y=x[/tex]
Thus the equation becomes,
⇒ [tex]log_{5} \frac{t}{19300}=y[/tex]
Step 4: Now replace y as [tex]P^{-1}( t)[/tex]
⇒ [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]
Hence we can conclude that the inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex].
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Solve the equation for x.
x2 = 25
Answer:
x = 12.5
Step-by-step explanation:
x2 = 25 Divide both sides by 2
x = 12.5
Answer:
[tex]\huge\boxed{x = \± \ 5}[/tex]
Step-by-step explanation:
[tex]\sf x^2 = 25[/tex]
Taking sqrt on both sides
[tex]\sf \sqrt{x^2} = \sqrt{25}[/tex]
x = ± 5
A pyramid has a square base with an area of 169ft. What is the perimeter of the base of the pyramid?
Answer:52 ft.
Step-by-step explanation: If the area of the base of the pyramid is
169
ft
2
then each side of the base is
13
ft
long because the base of the pyramid is a square.
Length of the side,
s
=
√
169
=
13
Iif we take the area of a square
A
=
s
2
where
s
=
13
we get the area of the base to be
169
ft
2
thus proving that each side of the base is
13
ft
long.
So to find the perimeter of the base of the pyramid we use the formula:
P
=
4
s
where
s
=
13
ft
and thus,
p
=
4
⋅
13
ft
=
52
ft
How many models of 100 do you need to model 7,600? Enter the number. Then complete the explanation.
Answer:
76
Step-by-step explanation:
Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.
find the measure of the indicated angle to the nearest degree. Show the work please.
Answer: 1) 65° 2) 17° 3) 53° or 37°
Step-by-step explanation:
[tex]1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o[/tex]
[tex]2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o[/tex]
3. Which angle do you need? I solved for both:
Bottom Right Top Left
[tex].\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o[/tex]
Question 1:
cosθ = adj/hyp
cosθ = 3/7
θ = cos^-1(3/7)
θ = 65
Questions 2:
tanθ = opp/adj
tanθ = 8/26
θ = tan^-1(4/13)
θ = 17
Question 3:
Top left:
sinθ = opp/hyp
sinθ = 14/23
θ = tan^-1(14/23)
θ = 37
Bottom Right:
cosθ = adj/hyp
cosθ = 14/23
θ = cos^-1(14/23)
θ = 53
Best of Luck!
On a family dinner table there are two plates for everybody, and only one plate for little Katelyn. 10 people and Katelyn came to the dinner. How many plates were on the table?
Answer:
21 plates
Step-by-step explanation:
10 people each got two plates, 10 x 2 = 20.
Plus Katelyn's plate, 20+ 1 = 21.
Hope this helps!
Answer:
its actually 21 plates
Step-by-step explanation:
10×2=20+1=21
translate into words
5+x
Five added to the number, x.
Step-by-step explanation:
Five represents (5)
added to represents (+)
The number, x. represents (x)
The measure of an angle is 103°. What is the measure of its supplementary angle?
Answer:
77
Step-by-step explanation:
Let's let the unknown number be x.
Supplementary angles add up to a total of 180 degrees. Since we already know one angle is 103, this means that:
[tex]103+x=180[/tex]
Subtract 103 from both sides:
[tex]x=77\textdegree[/tex]
So, the measure of its supplementary angle is 77 degrees.
And we are done!
Answer:77
Step-by-step explanation:
identify the degree of the polynomial x^2y+5xy^3-7y^2+2
We have three parts of the equation with a power:
x^2y, 5xy^3, and 7y^2
We can find the degree of each by the following:
x^2y; 2 + 1 = 3
5xy^3; 1 + 3 = 4
7y^2; 2
Therefore, the highest degree is 4.
Best of Luck!
what is 48 divide by -6 =
Answer:
-8
Step-by-step explanation:
any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.
Jackson claims that the order of the best deal to the worst deal (based on cost/oz) is 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton. Which statement about Jackson’s claim is true?
Answer:
Jackson is incorrect.
Step-by-step explanation:
He should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.
Answer:
C
Step-by-step explanation:
What is the value of 3 in the number 235,178???
Answer:
30,000
Step-by-step explanation:
Set the other digits to zero to obtain your answer:
030,000
The value of the 3 is 30,000.
___
It is in the "ten-thousands" place, so represents 3 ten-thousands, or thirty thousand.
Find R U S, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d}
R = {c, e, f, g}
S = {a, d, g}
Answer:
(RUS)={ a,c,d,ef,g}
Step-by-step explanation:
All the number of alphabets present in R and S will be the union of set R and S
Can you guys help me how to answer thus
Answer:
a, 32
b, -58
Step-by-step explanation:
a) g(0) = 6 - 0^2 = 6
--> f(g(0)) = 4 . 6 + 8 = 32
b) f(0) = 4 . 0 + 8 = 8
--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58
A medical secretary maintains the accounts and writes the paychecks
for a medical office complex. There are 36 people on the payroll. Eight people earn $10 per hour, eleven people earn $15 per hour, four people earn $18 per hour, six people earn $21 per hour, and seven people earn $26 per hour. If everyone works 40 hours per week, what is the total amount of money needed for the payroll each week?
Answer:
$25,000
Step-by-step explanation:
8 x $10 = 80 x 40 = $3,200
11 x $15 = 165 x 40 = $6,600
4 x $18 = 72 x 40 = $2,880
6 x $21 = 126 x 40 = $5,040
7 x $26 = 182 x 40 = $7,280
3200 + 6600 + 2880 + 5040 + 7280 = $25,000
I hope this helps!
-TheBusinessMan
need help asap!!!! plsss i have 5min
Answer:
30
Step-by-step explanation:
x=10
x^2+3x-130=0
x=10 or -13
there is no negative angle so the answer is ten
Is 7.787887888… a rational number? PLEASE ANSWER ASAP!! WILL GIVE BRAINLIEST!!!!!
Answer:
yes it is a rational number because the number has a repeating pattern
Step-by-step explanation:
The number 7.787887888... is rational, Yes; it has a pattern that is repeating.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
It is given that:
The number is 7.787887888
As we know,
The rational number can be represented in the form of p/q where q cannot be equal to zero.
If the number is terminated after some decimal places then it is said to be a rational number.
If the number is repeating its digit after decimal then it is said to be an irrational number.
Thus, the number 7.787887888... is rational, Yes; it has a pattern that is repeating.
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On a coordinate plane, a line goes through points (0, 1) and (3, negative 1). Consider the graph of the line. Using the rise/run counting method, the slope of the line is .
Answer: The slope of the line is -2/3.
Step-by-step explanation:
How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!
I hope this helps :)
Answer:
-2/3
Step-by-step explanation:
Hope this helps!
If five less than y is six more than x + 1, then by how
much is x less than y?
Answer:
12 more
Step-by-step explanation:
y-5= 6+ (x+1)
5+6+1=12
x is 12 less than y.
Five less than y is six more than x + 1,
y - 5= 6 + (x + 1)
5 + 6 + 1 = 12.
What are the steps in solving linear equations in one variable?Step 1: Simplify each side, if needed.Step 2: Use Addition/Subtraction Properties to move the variable term to one side and all other terms to the other side.Step 3: Use Multiplication/Division.Step 4: Check your answer.Learn more about linear equations here: https://brainly.com/question/14323743
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Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as the probability of an arrival in any other one-minute period.
A. What is the probability of exactly three arrivals in a one-minute period?
B. What is the probability of at least three arrivals in a one-minute period?
Answer:
0.2240418 ; 0.57681
Step-by-step explanation:
Given the information above :
A) What is the probability of exactly three arrivals in a one-minute period?
Using poisson probability function :
p(x ; m) = [(m^x) * (e^-m)] / x!
Here, m = mean = 3, x = 3
P(3 ; 3) = [(3^3) * (e^-3)] / 3!
P(3;3) = [27 * 0.0497870] / 6
= 1.3442508 / 6
= 0.2240418
B) What is the probability of at least three arrivals in a one-minute period?
Atleast 3 arrivals
X >= 3 = 1 - [p(0) + p(1) + p(2)]
P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870
P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612
P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418
1 - [0.0497870 + 0.1493612 + 0.2240418]
1 - 0.42319 = 0.57681
7a+1+3=18
Please answer quickly!
Answer:
2
Step-by-step explanation:
So we have the equation:
[tex]7a+1+3=18[/tex]
Add 1 and 3:
[tex]7a+4=18[/tex]
Subtract 4 from both sides:
[tex]7a=14[/tex]
Divide both sides by 7:
[tex]a=2[/tex]
And we're done!
which expression equals
[tex]9 \sqrt[3]{10} [/tex]
Answer:
B on edge
Step-by-step explanation:
5^3sqrt10+4^3sqrt10
{12÷(9−6)}+4×6{12÷(9−6)}+4×6
Answer:
56
Step-by-step explanation:
9-6=3
12 divided by 3 is 4
4x6=24
24+4=28
Do the same to the other side and you get 28
28+28=56
Hope it’s right
a rectangular shape waiting room has an area 120ft and a perimeter of 44 ft.what are the dimensions?
Answer: W * L = 120
2W + 2L = 44
2W = 44 - 2L
W = 22 - L
(22-L) * L = 120
22L - L² = 120
L² - 22L = -120
L² - 22L + 121 = 121 - 120
(L - 11)² = 1
L - 11 = ±1
L = 11 ± 1
L = 10 or 12
Dimensions: 10 * 12
Step-by-step explanation: write it on paper
Don ate 4/22 of the pie.what percent of the pie did he eat?
Answer:
9.090909090909%
Step-by-step explanation:
2/22 = 1/11 = 9.090909090909%
Hope This Helps :)
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3). What are the intercepts of the graphed function? x-intercept = (–1, 0) a y-intercept = (–3, 0) b x-intercept = (0, –1) c y-intercept = (0, –3) d x-intercept = (0, –1) e y-intercept = (–3, 0) f x-intercept = (–1, 0) g y-intercept = (0, –3)
Answer:
It’s d on edge
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge
If B is the midpoint of AC. AB = 4v and AC = 5v + 24. what is BC?
Answer:
v+24
Step-by-step explanation:
I first drew a line with A in one side and C in the other side. Then, I put B in the middle, as it is the midpoint. Under AB, I put 4v, and under AC, I put 5v+24. To get BC, you must subtract 5v+24 and 4v. I did 5v+24-4v. All I really had to do was subtract 4v from 5v which gave me v, since I can only subtract like-term numbers. Anyway, after that, I got v+24. Hope this helped!
please help with 1-3 thank you!
Answer:
x the probleme
Step-by-step explanation:
Answer:
2 is 3/5 and 3 is (0,-6) and the slop is 4/3
Step-by-step explanation:
math problem At a nba game the ratio of the score of team b was 16.21. of a team a got 80 points. how many points did team b get?
Answer:
105 points.
Step-by-step explanation:
The scores of team A and B is 16 and 21.
if 16 = 80, The ratio of 16 to 21 is 5.
So, that means 16 x 5 is 80.
How many points did team B get?
score x gap between 16 to 21
= 21 x 5 = 105.
the team B got 105 points.
Why is√5 irrational?
A.)because it is less than one
B.)because it has no opposite
C.)because all square roots are irrational
D.)because it cannot be expressed as a ratio of integers
Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers