Answer:
k=.25068
Step-by-step explanation:
450 = 100 [tex]e^{6k}[/tex]
4.5 = [tex]e^{6k}[/tex]
ln(4.5) = 6k
k= ln(4.5)/6
k=.25068
The number of bacteria after 13 hours will be 2579.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that a biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favourable growth medium. Six hours later, he measures 450 bacteria.
The bacteria after 13 hours will be calculated as,
[tex]N=100(e)^{13\times 0.25)[/tex]
[tex]N = 100\times e^{3.25}[/tex]
N = 2579.
Therefore, the number of bacteria after 13 hours will be 2579.
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a) Draw the graph of y = 4x - 1 on the grid. b) Use the graph to estimate the value of x when y = 1
Hello,
a) photo attached
b) When y = 1, x ≈ 0.5
Verification through calculation :
We have :
y = 4x - 1
⇔ 1 = 4x - 1
⇔ 4x = 2
⇔ x = 2/4 = 0.5
This is just !
:-)
For the following system, use the second equation to make a substitution for x in the first equation.
3x + 2y = 7
x - y + 3 = 0
What is the resulting equation?
Step-by-step explanation:
x value is 0.2
y value is 3.2
1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *
Answer:
1)
[tex]808.48 \: cubic \: meter[/tex]
2)
[tex]104 \: shiling[/tex]
3)
[tex]14cm[/tex]
Step-by-step explanation:
Length = 16.3m
breadth = 8m
height = 6.2m
volume= Lbh
=(16.3×8×6.2)m
= 808.48 cubic meter
Write the equations of two lines passing through (4,8)
Answer:
Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28
Step-by-step explanation:
The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;
m = The slope of the line
c = The y-intercept
Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;
Fot the given point, the x-value = 4, and the y-value = 8, we get;
8 = m₁·4 + c₁...Line 1 and
8 = m₂·4 + c₂...Line 2
m₁ ≠ m₂
If we set m₁ = 3, for line 1, we get;
8 = 3 × 4 + c₁ = 8 = 12 + c₁
∴ c₁ = 8 - 12 = -4
c₁ = -4
The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;
y = 3·x - 4
The equation for Line 2 where m₂ = -5 for example, we have;
8 = -5 × 4 + c₂
∴ c₂ = 8 + 5 × 4 = 28
c₂ = 28
The general form for the equation for Line 2 becomes;
y = -5·x + 28
Therefore;
The equation of the two formed lines that pass through the point (4, 8) are;
y = 3·x - 4 and y = -5·x + 28
Heather has a weighted coin that has a 60%, percent chance of landing on heads each time it is flipped.
Probability of getting tails when weighted coin is flipped is 2/5
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n' outcomes, the number of favorable outcomes can be denoted by x.
The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.
Given,
Chance of getting heads on the weighted coin = 60%
Probability of getting heads = 60/100
Probability of getting heads = 3/5
Probability of getting tails = 1 - 3/5
Probability of getting tails = 2/5
Hence, 2/5 is the probability of getting tails on flipping the weighted coin.
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please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points
Answer:(first term)
a=27(4th term)
T4= a x r^3 = 64
substituting a as 27 in T4
27 x r^3 = 64
r^3 = 64/27
r=4/3
so; a=27, r=4/3
using the general formula of geometric progression,
a x r^n-1
substitute:.
27 x 4/3^n-1
= 27(4/3)^n-1
Answer: (C) HOPE THIS HELPS!
What is the product of 2x+ 3 and 4x2 - 5x+ 6?
Answer:
8x³ - 25x² - 3x + 18
Step-by-step explanation:
(2x + 3)(4x²- 5x + 6)
multiply 2x by each of the three terms in the second expression to get:
8x³ - 10x² + 12x
now multiply 3 by each of the three terms in the second expression to get:
12x² - 15x + 18
Combine 'like terms': -10x² + (-15x²) = -25x²
Combine 'like terms': 12x + (-15x) = -3x
Put all terms in decreasing exponent order:
8x³ - 25x² - 3x + 18
Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?
Answer:
Distance of grocery stores from mailbox = 50 miles
Step-by-step explanation:
Given:
Distance of grocery stores = 40 miles east
Distance of mailbox = 30 miles south
Find:
Distance of grocery stores from mailbox
Computation:
Hypotenuse² = Perpendicular² + Base²
Distance of grocery stores from mailbox = √30² + 40²
Distance of grocery stores from mailbox = √900 + 1600
Distance of grocery stores from mailbox = √2500
Distance of grocery stores from mailbox = 50 miles
Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52
Answer: D. 3x +28 > 52
Step-by-step explanation:
Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:
With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.
Therefore, (3 × x) + 28 > 52
= 3x + 28 > 52.
We can calculate further
3x > 52 - 28
3x > 24
x > 24/3
x > 8
Therefore, 9 or more bracelets needs to be sold since x is greater than 8.
Therefore, the correct option is D 3x +28 > 52
Answer:
D. 3x + 28 > 52
Step-by-step explanation:
Which is the graph of y – 3 =-2/3 (x + 6)?
Answer:
see graph below
Need help with this
Use the image to complete the equation below
Answer:
DPB
Step-by-step explanation:
Verticle angles are congruent
m∠APC = m∠DPB
Help plz this is really hard for me
Answer:
Improper fraction: 13/10
Mixed number: 1 3/10
Decimal: 1.3
Step-by-step explanation:
Find common denominator: which is 30
Make each denominator equal 30, affecting the whole fraction:
6•2/15•2 + 3•3/10•3 + 3•6/5•6 =
12/30 + 9/30 + 18/30 = 39/30
Simplify: 39/30, divide both by 3: 13/10
And there is our answer!
Hope this helps, good luck! :D
Answer:
39/30
Step-by-step explanation:
Can someone help me with this.
:)
PLEASE HELP!!!
a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD
Answer:
A. Segment AB congruent segment CD
C. Segment AD congruent segment BC
Step-by-step explanation:
These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.
xy to the power of -4
show as positive exponent
explain
Answer:
[tex]\frac{1}{(xy)^4}[/tex]
Step-by-step explanation:
*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."
Recall the following exponent property:
[tex]a^{-b}=\frac{1}{a^b}[/tex]
Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]
a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?
Answer:
35 mm.
Step-by-step explanation:
That would be (26 + 44)/2
= 70/2
= 35 mm.
what is the vaule (x + y)(x + y)
Answer:
x^2+2xy+y^2
Step-by-step explanation:
(x + y)(x + y)
FOIL
first x*x = x^2
Outer x*y = xy
inner: y*x = xy
last y*y = y^2
add together
x^2+xy+xy+y^2
Combine like terms
x^2+2xy+y^2
Answer:
[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Step-by-step explanation:
(x + y)(x + y)
= (x + y)(x + y)
=(x)(x) + (x)(y) + (y)(x) + (y)(y)
= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]
= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Hope this helps, please mark brainliest. :)
Helpppp with this math
9514 1404 393
Answer:
x = 8 1/3
Step-by-step explanation:
Put the known values into the equation and solve for x.
f(x) = 3x -1
24 = 3x -1 . . . . . use 24 for f(x)
25 = 3x . . . . . . . add 1 to both sides
25/3 = x . . . . . . divide both sides by 3
The input is x = 8 1/3.
If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?
1.
5
2.
7
3.
9
4.
12
Answer:
f(x)=x² , g(x)= x+1. f(g(2))?
g(2)
2+1=3
g(2)=3
f(3)
3²=9
f(3)=9
the answer is 9
Answer:
9
Step-by-step explanation:
To find (f ￮ g)(2) , evaluate g(2) then substitute the value obtained into f(x)
g(2) = 2 + 1 = 3 , then
f(3) = 3² = 9
Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2
It takes you 45 minutes to wash a car
alone. Your friend can wash a car in 30
minutes. How long will it take you and
your friend to wash a car together? You
can use the work principle to find out!
Answer:
37.5 minutes
Step-by-step explanation:
45+30=75
=75 =37.5
2
This might help you!!!!
Please help I’ll give brainliest
Answer:
- a + 18bStep-by-step explanation:
2(a + 6b) - 3(a - 2b)
= 2a + 12b - 3a + 6b
= 2a - 3a + 12b + 6b
= - a + 18b (Ans)
Answer:
-a + 18b
Step-by-step explanation:
2(a + 6b) - 3(a - 2b)
Distribute the 2
2a + 12b - 3(a - 2b)
Distribute the 3
2a + 12b - 3a + 6b
Combine like terms
-a + 18b
Please help me
Which has a larger area , a 4:3 aspect ratio 32 inch Tv or a 16:9 aspect ratio 32 inch Tv? Find the side lengths of each of the TV’s and the area of each Tv to compare. Explain Your reasoning and show all mathematical calculations.
Step-by-step explanation:
please see my work as attached
6/h −1= −3 again.......
Answer:
ℎ = −3
Step-by-step explanation:
6
ℎ
−
1
=
−
3
\frac{6}{h}-1=-3
h6−1=−3
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
2
Combine fractions with common denominator
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
3
Re-order terms so constants are on the left
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
6
−
ℎ
ℎ
=
−3
the range of the following relation R {(3, -5), (1,2),(-1,-4),(-12)}
Answer:
The range of the following relation is(-5,2,-4)
6. Is this a relation? Is this a function? Why or why not?
Answer:
the given relation is function because all elements of domain is mapped with the elements of range
. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)
6
3
)(
6
)
Answer:
(6-3)=3..............................
write 17.275102 correct to 3 decimal places
Step-by-step explanation:
17.275 3 decimal plalcesl
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again! (Pls help Asap!)
Answer:
his dad was cutting the grass for 1 hour and 4 minutes i hope this helps
Step-by-step explanation: