[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]Answer:
14.87% per hour
Step-by-step explanation:
Let's pretend we're starting with one bacteria.
Double of one is two
We're gonna have to use this formula: A = P(1 + x)ⁿ
A = Amount (which is 2)
P = Initial amount (which is 1)
x = percentage per time (hour)
n = amount of time (hours)
So our equation will look like this:
2 = 1(1 + x)⁵
First, we need to root both sides to isolate (1 + x)
[tex]\sqrt[5]{2} = \sqrt[5]{(1+x)}[/tex]
[tex]\sqrt[5]{2} = 1 +x[/tex]
Then subtract both sides by 1
[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]
[tex]x=\sqrt[5]{2}-1[/tex]
[tex]\sqrt[5]{2} = 1.148698355[/tex]
1.148698355 - 1 = 0.148698355
x = 0.148698355
A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
From midnight to 6:00 am, the temperature dropped 0.9°C each hour. If the temperature at 6:00 am was -0.4°C, what was the temperature at midnight?
Help like asap
Answer:
5.8°C
Step-by-step explanation:
[tex]6 \times 0.9 = 5.4[/tex]
[tex]Therefore, 0.9 + 5.4[/tex]
[tex] = 5.8[/tex]
Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106
Answer:
adding by 13
Step-by-step explanation:
subtract 54-41
Solve for x. Then find the length of each side of the figure.
Answer:
x = 6 for Side 14 - 2x
x = 9 for Side 2x + 1
x = 11 for Side 3x - 1
Step-by-step explanation:
14 - 2x + 2x + 1 + 3x - 1 = 26
-2x + 2x + 3x - 1 + 1 + 14 = 26
3x + 14 + 1 - 1 = 26
3x + 14 = 26
-14 -14
-------------------
3x = 12
/3 /3
------------------
x = 4
Now, plug x = 4 into all the side expressions and find out their lengths.
Side 14 - 2x14 - 2x
= 14 - 2(4)
= 14 - 8
= 6
Side 2x + 12x + 1
= 2(4) + 1
= 8 + 1
= 9
Side 3x - 13x - 1
= 3(4) - 1
= 12 - 1
= 11
Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.
6 + 9 + 11 = 26
26 = 26 CORRECT
the capacity of cylinder tank is 539 litres . if its height is 1.4m then find the area of base
Step-by-step explanation:
Solution:
Here,
Volume of the tank=539 litres
=539×1000cm^3=539000cm^3
Height=1.4×100cm=140cm
Let the radius of the base be r cm
Then,
22/7×r^2×140=539000
or,r^2=539000×7/22×140
or,r^2=1225
or,r=35 cm
So,
Area of base=pie r^2
=22/7×35^2
=3850 cm^2
Keep smiling and hope u r satisfied with my answer.Have a good day :)
Given Data:
Capacity of the Cylinder tank, V = 539 litres =
Height, h = 1.4 m
Area of the Cylinder, A = ?
Convert litres to m³: I litre = 0.001 m3
: . Capacity of the Cylinder tank = 539 litres = 0.539 m³
Let the radius of the base be r cm.
Find the radius of Cylinder:
Volume = πr²h
0.539 = πr²(1.4)
0.539 ÷ 1.4π = r²
r² = 0.12255
r = √0.12255
r = 0.35m
Find Area of Base:
Area, A = πr²
Area = π(0.35)² = 0.385 m²
Answer: The Area of base is 0.385 m²
What is 32,651.97 written in expanded form? PLease dont lie
Step-by-step explanation:
30000+2000+600+50+1+0.9+0.07
Concept:
First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.
simplify [(x-4)/(x-4)2]
(a) Find the value of xif 10, x and 30 are in A.P.
(b) If 6,x,y, and 18 are in A.P., find the value of x and y.
it's a optional mathematics Questions please solve him
Part A
Answer: x = 20--------------------------------
Explanation:
AP = arithmetic progression, which is another way of saying arithmetic sequence.
Let d = common difference
first term = 10second term = first+d = 10+d = xthird term = second+d = x+d = 30Apply substitution like so
x+d = 30
10+d+d = 30 ... replaced x with 10+d
10+2d = 30
2d = 30-10
2d = 20
d = 20/2
d = 10 is the common difference
Therefore,
x = 10+d = 10+10 = 20
The AP {10,x,30} updates to {10,20,30}. We see the gap between terms is 10 units. All AP's have the same gap width between adjacent terms.
=============================================================
Part B
Answers: x = 10 and y = 14--------------------------------
Explanation:
We use the same ideas mentioned back in part A.
d = common difference = unknown for now
first term = 6second term = first+d = 6+d = xthird term = second+d = x+d = (6+d)+d = 6+2d = yfourth term = third+d = y+d = (6+2d)+d = 6+3d = 18Hopefully you can see how each term builds up to form the next one. We'll solve that last equation like so
6+3d = 18
3d = 18-6
3d = 12
d = 12/3
d = 4
So we then can say:
x = 6+d = 6+4 = 10y = 6+2d = 6+2(4) = 6+8 = 14The arithmetic sequence {6,x,y,18} updates to {6,10,14,18}. There's a gap of 4 between each adjacent term.
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10
Answer:
Area = 6x + 36
Perimeter = 3x + 10
Step-by-step explanation:
Sides of the triangle: 12 ; (x - 7) & (2x + 5)
Perimeter of the triangle = sum of all the sides
= 12 + x - 7 + 2x + 5
= 2x + x + 12 - 7 + 5 {Combine like terms}
= 3x + 10
Area of triangle:
Base = 12 & height = h = x +6
[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]
= 6 *(x + 6) {Use distributive property}
= 6*x + 6*6
= 6x + 36
7. Is 5.787787778... a rational or irrational number?
Explain.
Answer:
Irrational
Step-by-step explanation:
Its irrational as it has no pattern of numbers after decimal point and the number are infinite
Answer:
irrational because it has a coma after one number
Show that 6 – 4x - x^2 can never be greater than 10.
( This is an Additional Math Question )
Answer:
see explanation
Step-by-step explanation:
Given
6 - 4x - x²
Since the coefficient of the x² term < 0 then parabola has a maximum vertex.
To find the x- coordinate of the vertex
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
with a = - 1 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2
The corresponding y- coordinate is found by substituting x = - 2 , that is
6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10
vertex = (- 2, 10 )
The maximum value of the function is the y- coordinate of the vertex
Then maximum value is 10
Thus 6 - 4x - x² is never greater than 10
5. Define linear pair
please answer fast
a liner pair is the pair of adjacent angles formed when two line intersect
1. I can wash a car in 20 minutes. How long will it take me to wash 20 cars?
2. I can type 4 words per minute. How long will it take me to write a 500 word essay?
Pliz help solve this what's 3+4×2.00×29
Here the other question 5n+1 find the sequence
Answer:
Step-by-step explanation:
1) 3 + 4*2*29 = 3 + 232 = 235
First we have to do multiplication and then we have to add
2) 5n + 1
Term 1 ; n = 1 ; 5n + 1 = 5*1 + 1 = 5 + 1 = 6
Term 2 ; n = 2 ; 5n + 1 = 5*2 + 1 = 10 + 1 = 11
Term 3 ; n = 3 ; 5n+ 1 = 5*3 + 1 = 15 + 1 = 16
Term 4; n = 4 ; 5n + 1 = 5*4 + 1 = 20 + 1 = 21
The sequence : 6 , 11, 16 , 21 ..........
Select all ratios equivalent to 7:5.
Answer:
77 : 55
Step-by-step explanation:
77 : 55
divide the ratio by 11.
7 : 5
(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con
We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]From the Question we are told that
[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]
Generally the equation for the Resultant PR is mathematically given as
[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]
a)
Generally the equation for the Distance around they park is mathematically given as
[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]
[tex]X=190yd[/tex]
b)
Generally the equation for the Path QM is mathematically given as
From the diagram we see that
[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]
[tex]QM=40yd[/tex]
c)
From the question we are told
Average speed of [tex]150yd/m[/tex]
Total distance traveled
[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]
Therefore
Time
[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]
[tex]T=1.5minutes.[/tex]
in conclusion
The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]For more information on this visit
https://brainly.com/question/15356513
Find the y-intercept of the line: 6x – 3y +6=0
Answer:
Step-by-step explanation:
The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:
6(0) - 3y + 6 = 0 and
-3y + 6 = 0 and
-3y = -6 so
y = 2
Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?
Answer:
[tex]1 \frac{2}{6} [/tex]
Step-by-step explanation:
[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]
Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?
Answer:
350
Step-by-step explanation:
Do 140/0.4=350
Answer:
350 apples
Step-by-step explanation:
a = total number of apples in the crate
a* 40% = number of red apples
a * .40 = 140
Divide each side by .40
a * .40/.40 = 140/.40
a =350
What is 234 (two hundred and thirty four) X 0.35?
Answer:
81.9
Step-by-step explanation:
mark me brainliest plzz
234(234)×0.3
234×234×0.3
54,756×0.3
16,426.8
HELPPPGPTPPFPPZPSKZJZ
Find the cube root of 1.331
Answer:
answer is 1.1
Step-by-step explanation:
11(1331)
11(121)
11(11)
(1)
10(1000)
10(100)
10(10)
(1)
(11/10*11/10*11/10)^(1/3)
=11/10
=1.1.
Answer:
1.1
Step-by-step explanation:
write an expression for the sequence of operations described below.
g fewer than the sum of f and 8
Do not simplify any part of the experssion.
Step-by-step explanation:
f + 8 > g this can be written in other ways but this sums it up
Simplify each
2. 2
— - —
5 3
3 3
— + —
4 8
With explanation please
Answer:
1) [tex] - \frac{4}{5} [/tex]
2) [tex] \frac{9}{8} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]
[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]
[tex] = - \frac{4}{15} [/tex]
°■°■°■°■°■°■°■°■°■°
[tex] \frac{3}{4}+\frac{3}{8} [/tex]
[tex] \frac{6+3}{8} [/tex]
[tex] = \frac{9}{8} [/tex]
baseten school district bought 5,000 pencils. they are distributing the pencils evenly to 10 school in the district . how many pencils will each school get
Answer:
500
Step-by-step explanation:
5000 divided by 10
What is the solution of the equation?
-6x+5= 3-5x
Answer:
I think the answer is x = 2
Answer: 2
Step-by-step explanation:
-6x+5=3-5x
+5x +5x
-x +5=3
-5 -5
-x = -2
-2 -2
X=2
jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?
Answer:20 minutes per pound
we know that
To find the unit rate divide the total time by the total weight
Convert mixed number to an improper fraction
Convert hours to minutes
so
Find the unit rate
therefore
20 minutes per pound
Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relatinoship between her labeling speed and the number of minutes it would take her to finish labeling.
it will take her 34 mins coz I said so innit
Need help ASAP pls thx
Answer:
the correct answer is 60 :)
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]
The x-intercept of the equation 2y + 3x = 6 is:
A. -3.
B. 3.
C. 2.
Answer:
C
Step-by-step explanation:
X intercept <=> y=0
Hence the x intercept is x=2