Answer:
A) 1600 bacteria
B) 12800 bacteria
Step-by-step explanation:
We are told that the bacteria doubles every 4 hours.
Now, if the amount of bacteria is X, it means that for 4 hours, it becomes 2X and after 8 hours it becomes 2(2X)
For 12 hours, it becomes; 2 × (2(2X))
This means that for 12 hours, it becomes 2 × (2(2X)) = 8X
A) Since the lab starts with 200 bacteria, after 12 hours, it has;
N_12 = 8 × 200.
N_12 = 1600 bacteria
B) From above, we have seen that after t hours, where t is a multiple of 4, the number of bacteria is;
N_t = [2^(¼t - 1)] × (2X)
Where X is initial amount of bacteria.
Thus, after a day which is 24 hours, we have;
N_24 = 2^(¼(24) - 1) × 2X
N_24 = 2^(5) × 2X
Where X is 200, N_24 = 32 × 2(200) = 12800 bacteria
write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.
Answer:
y
=
−
1
3
(
x
+
3
)
Step-by-step explanation:
The point-slope form of a linear equation is:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point on the line and
m
is the slope.
Substituting the values from the point in the problem and the slope provided in the problem gives:
Answer:
y=-1/2x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y=-1/2x+2-2
y=-1/2x
Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
2 books in one month
Step-by-step explanation:
Answer:
2 books per month .
Step-by-step explanation :
6 divided by 3 = 2
So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )
Hope that helped :)
Hakim’s electrical car can go 180 miles on 2/3 of a full charge . How far can it go on 1 full charge?
Answer:
270 miles
Step-by-step explanation:
divide 180 by two to get a third, which is 90. Multiply by three to get the answer, which is 270
Answer:
270
Step-by-step explanation:
as you can see above me
Find the slope and y-intercept of the graph. y=5x-3
Answer:
Step-by-step explanation:
y=mx+b
your m is the slope and your b is the y-intercept
so for y=5x-3 your slope would be 5 and your y-intercept would be -3
The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.
How to Find the Slope and the Y-intercept of a Graph?The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:
m is the slope
b is the y-intercept of the graph.
The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).
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PLEASE HELP!!! 60 points will be rewarded to the person that answers this question correctly.
The two figures below have the same perimeter. What is the value of x?
1. Write an equation that can be used to represent the situation above
2. Solve the equation
3. Prove the solution by plugging it into both sides of the equation
Answer:
3 or 5
Step-by-step explanation:
Because follow the problem
In a deli the ratio of ham subs sold to cheese subs sold in a day was 9:4. If 36 cheese subs were sold how many ham subs were sold?
Answer:
oolollololollolollo
Step-by-step explanation:
The number of ham subs sold is given by the proportion equation A = 81
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of ham subs sold be represented as A
Now , the proportion will be
The ratio of ham subs sold to cheese subs sold = 9 : 4
And , the number of cheese subs sold = 36
Substituting the values in the equation , we get
number of ham subs sold A / number of cheese subs sold = 9 / 4
On simplifying the equation , we get
A / 36 = 9 / 4
Multiply by 36 on both sides of the equation , we get
A = ( 9 x 36 ) / 4
A = 9 x 9
A = 81 ham subs
Therefore , the value of A is 81 ham subs
Hence , the number of ham subs sold is 81
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1. Place a value under the radical symbol to make the statement true.
Answer:
24
Step-by-step explanation:
2 cuberoot 6 is equal to
2^2 times 6 which is 24
PLS HELP ASAP I WILL GIVE BRAINLYEST...
20 Points...
Answer:
True
True
False
True
Step-by-step explanation:
The perimeter of a 6-sided figure is 67.74 meters. Two of the sides have the same length. The sum of the other 4 side lengths is 36.4 meters. About how long is each of the same-side lengths?
Each of the same-side lengths is 15.67.
What is perimeter?It is the sum of length of the sides used to made the given figure.
We have been given that the perimeter of a 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.
Let the same side be a.
The perimeter of the figure = 6 x side
The perimeter of the figure = 2a + 36.4
67.74 = 2a + 36.4
2a = 67.74 - 36.4
2a = 31.34
a =15.67
Therefore, each of the same-side lengths is 15.67.
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what property is 9+-9=0
WILL MARK BRAINLIEST SHOW ALL YOUR WORK
Answer:
y = 1/3x - 4
Step-by-step explanation:
the line crosses the y-axis at -4
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates)
If we take the points (9,-1) and (6,-2), we do:
-1-(-2) = 1
9-6=3
which gives 1/3
Answer:
y = 1/3x - 4
Y- intercept = -4
Slope = 1/3
Step-by-step explanation:
Y intercept is where the line intercepts/passes through the y axis
Slope is how many units it takes HORIZONTALLY (side to side) to go up ONE unit VERTICALLY (up down)
It took the line 3 horizontal units to go up 1 vertical unit. So you divide 1 by 3 which gives you 1/3
5y - 4x = -7
2y + 4z = 14
Solve for x and y
Answer:
et's solve for x.
5y−4x=−72y+4z
Step 1: Add -5y to both sides.
−4x+5y+−5y=−72y+4z+−5y
−4x=−77y+4z
Step 2: Divide both sides by -4.
−4x
−4
=
−77y+4z
−4
x=
77
4
y−z
Answer:
x=
77
4
y−z
Let's solve for y.
5y−4x=−72y+4z
Step 1: Add 72y to both sides.
−4x+5y+72y=−72y+4z+72y
−4x+77y=4z
Step 2: Add 4x to both sides.
−4x+77y+4x=4z+4x
77y=4x+4z
Step 3: Divide both sides by 77.
77y
77
=
4x+4z
77
y=
4
77
x+
4
77
z
Answer:
y=
4
77
x+
4
77
z
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
Answer:
1.)x=5/4y+7/4
2.) y=−2z+7
Step-by-step explanation:
!!30 points!!
The container that
holds the water for
the foorball team s 1/3
full. After pouring in 12
gallons of water, it is
7/9 full.
After pouring in 12
gallons of water, it is
7/9 full. How many
gallons can the
container hold?
Your answer would be 27 Gallons.
What are the last 3 digits of 5 to the power of 2020?
Answer:625
Step-by-step explanation:
What is 325.623 rounded to the nearest tenth
Answer: 325.6
Step-by-step explanation: 6 is in the tenth place and you don't round up the two
answer the question below, 100 points (and brainliest if it lets me, im desperate)
PLZ HELP ANSWER IMEDIATLY!!!!!!!! 55 POINTS A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in point-slope form. Show your work for full credit. (How did you go from those two points to having the equation in point-slope form?)
Answer:not sure
Step-by-step explanation:
Pleaseee ANWSER ASAP!!!!
Dustin rides his bike for 176.25 miles in three weeks. He averaged 11.75 miles per hour each time he rode. How many hours did it wake him to ride 176.25 miles?
176.25÷11.75=15 hours
simply the following equations
a. -5(-3x - 2y +1)
b. 6(x + 3y -5)
what is the equation of the graphed line?
Answer:
y=mx+b
Step-by-step explanation:
you need to find the y intercept and the slope in order to write the equation in y intercept form slope is the change of u over the change in x
Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.
Answer:
C
Step-by-step explanation:
Plato(:
What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.
What is stock?Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.
In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.
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can y’all help please :)
6 blue slabs have a mean weight of 7 kg. 3 yellow slabs have a mean weight of 5 kg. 1 grey slab has a mean weight of 9kg. work out the mean of 10 slabs
Answer: 6.6kg
Step-by-step explanation:
6 blue slabs have a mean weight of 7 kg. The total weight of the 6 blue slabs will be:
= 6 × 7kg
= 42 kg
3 yellow slabs have a mean weight of 5 kg. The total weight of the 3 yellow slabs will be:
= 3 × 5kg
= 15kg
1 grey slab has a mean weight of 9kg.
To get the mean of the 10 slabs, we add their total weights together and divide by 10. This will be:
= (42kg + 15kg + 9kg)/10
= 66kg/10
= 6.6kg
Based on the information given the mean of 10 slabs is 6.6 kg.
Formulate
(9+5×3+6×7)/10
Calculate the quotient
9+15+6×7/10
9+15+42/10
Calculate the sum or difference
24+42/10
66/10
Reduce the fraction
33/5
Hence:
Mean=6.6 kg
Inconclusion the mean of 10 slabs is 6.6 kg.
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Adam has a bag containing x counters. He adds four more counters to his bag. Write an expression for the number of counters in Adam's bag now.
Answer:
x+4
Step-by-step explanation:
The sum of two integers with different signs is 16. What two integers fit this description?
-2 and 18
-18 and -18
-14 and -2
-14 and 2
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!!!!
Answer:
Question 6: C or 1/3
3 toppings times 2 flavors=6 types in all
you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3
Question 11: 2/9 + x = 1
x= 7/9
Step-by-step explanation:
Question 11: 2/9 + x = 1
x= 7/9
Question 6: 3 toppings times 2 flavors=6 types in all
you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3
I really need help so please help me out
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :
TU + UF = 32
TU + 20 = 32
TU = 32 - 20
TU = 12
Replacing one regular light bulb with a
compact fluorescent bulb will save 151.56
pounds of carbon dioxide per year. If you
replace 25 regular light bulbs, then how
many pounds of carbon dioxide will you save
per year?
Answer:
3789 pounds of carbon dioxide
multiply 151.56 by 25
Answer:
3789
Step-by-step explanation:
edge 2020