A culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a culture, how many bacteria should there be after 3 hours?
Answer:
There would be 1080 bacteria in the culture.
Step-by-step explanation:
Initial number of bacteria = 40
Given that
culture of bacteria triples by the end of each hour
Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)
Number of bacteria after 1 hour = 120
number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120
number of bacteria after 2 hours =360
number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080
Thus,
there would be 1080 bacteria in the culture.
Answer:
1080 bacteria
Step-by-step explanation:
I only need the answer to the question. Thank you!
Answer:
10
Step-by-step explanation:
refer attachment for detailed answer
What are the answers to these aswell mb?
Answer:
4 is D = 23
Step-by-step explanation:
the coefficient is the number before the letter
which system of inequalities is shown in the graph
Answer:
The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C
Step-by-step explanation:
The equation of a vertical line is x = a, where a is the x-coordinate of any point on the lineThe equation of a horizontal line is y = b, where b is the y-coordinate of any point on the lineIn the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas
∵ The purple line is a vertical line
∵ It is cross the x-axis at the point (4, 0)
→ By using the first rule above
∴ The equation of the purple line is x = 4
∵ The purple line is solid and the shaded area left the line
∴ The sign inequality is ≤
∴ The inequality of the purple area is x ≤ 4
∵ The blue line is a horizontal line
∵ It is cross the y-axis at the point (0, 1)
→ By using the second rule above
∴ The equation of the blue line is y = 1
∵ The blue line is dashed and the shaded area above the line
∴ The sign inequality is >
∴ The inequality of the blue area is y > 1
∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1
Please can y'all help me asp
flying with the wind a plane went 396km/h. Flying into the wind the plane only went 350 km/h. Find the speed of the wind and the speed of the plane in still air.
Answer:
/
Step-by-step explanation:
HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
[1 mile = 1.6 km]
0.2
0.5
0.8
1.4
Answer:
Step-by-step explanation:
if our motorcycle use 70 miles per gallon
and 1mile=1.6 km
the motorcycle travels 70*1.6=112 km per gallon
for 60 km it needs
60/112=0.54 gallons
find the square root of 5.494
[tex] \sqrt{5.494} [/tex]
Answer:
the square root of 5.494 is 2.34
Step-by-step explanation:
The computation of the square root of 5.494 is as follows"
According to the question it is mentioned that
The number is 5.494
Now the square root of the above number is
[tex]\sqrt{5.494}[/tex]
= 2.34
Hence, the square root of 5.494 is 2.34
Therefore the same is to be considered
can anyone help me with this problem
Answer:
third option
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
[tex]\frac{1}{4}[/tex] [tex](2)^{k-1}[/tex] ← is in this form
with a₁ = [tex]\frac{1}{4}[/tex] and r = 2
helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.
Answer:
138 feets
Step-by-step explanation:
Given that :
Angle of depression (α) = 16°
Elevation = height = 450 feets
Appling trigonometry :
From the picture attached :
Height / elevation = 450 feets (Adjacent)
Distance = d (opposite)
Tan α = opposite / Adjacent
Tan 17 = d / 450
450 tan17 = d
450 * 0.3057306 = d
d = 137.57880
Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets
The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
Given that,
The helicopter is flying at an elevation of 450 feet.
It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.
We have to determine,
The distance between a point on the ground directly below the helicopter and the landing pad.
According to the question,
The angle of depression = 16°,
Elevation = height = 450 feet
And d is the distance,
The angle of depression is an important component used in trigonometric operations.
The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.
Therefore, The angle of depression is,
[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]
Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
To know more about Trigonometry click the link given below.
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The fraction 24/28 in simplest form is
Answer:
6/7
Step-by-step explanation:
greatest common factor: 4
24/4=6
28/4=7
The cost of a dvd in dollars can be represented by the expression 18-d where d is the discount amount. Use the distributive property to write and simplify an expression for the cost of 3 dvds
Answer:
54 - 3d
Step-by-step explanation:
In order to find the cost of 3 DVDs we would simply need to multiply the expression given by 3. In order to do so we must use the distributive property and distribute the 3 to both the initial price of the dvd and the discount price, like so...
3(18 - d) ... in order to distribute we multiply 3 by 18 and then by d seperately
(3 * 18) - (3 * d)
54 - 3d
That would leave us the expression 54 - 3d
6x=3-12x
how can i solve it
please tell the answer in a simple way
Answer:
x=0.16
Step-by-step explanation:
A purse containing at most 3.15 in quarters and dimes has, in all 20 coins. Find the maximum number of quarters in the purse.
Answer:
4
Step-by-step explanation:
A company that makes hair-care products had 200 people try a new shampoo. Of the 200 people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
A - 16.66666...%
B - 24 people
C - 6%
D - 6 people
Answer:
24
Step-by-step explanation:
first you multiply 200 by 12, Then you divide that by 100. your final product is 24, hope that helps
Answer:
C. 6%
Step-by-step explanation:
First we need to divide the amount of people who got the allergic reaction by how many people were there.
So: 12 ÷ 200 = 0.06
Now, we need to multiply 0.06 by a whole percent, the whole percent is 100.
So: 0.06 × 100 = 6
6% of the people had a mild allergic reaction.
I’m having trouble with this
Answer:
24 or 25, because of the max height it can reach on the graph, its reaching the maximum height it can go
-
A truck can be rented from Company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.30 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
800 miles
Step-by-step explanation
Step one
A truck can be rented from
Company A for $130 a day plus $0.20 per mile
Let the number of miles be x
And the total charges be y
y=130+0.2x—-------1
Company B charges $50 a day plus $0.30 per mile
y=50+0.3x--------2
Equate 1 and 2
130+0.2x=50+0.3x
130-50=0.3x-02x
80=0.1x
x=80/0.1
x=800 Miles
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A
13 feet
B
25 feet
C
26 feet
D
38 feet
Answer:
13
Step-by-step explanation:
Ok so we will eliminate some numbers first. The width is 12, but the total on the perimeter is 24. 50-24 = 26
26 is not the length, so divide that by 2, and get 13
Proof:
x=2
13x=26
12x=24
24+26 = 50
Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
Answer:
2 2/19
Step-by-step explanation:
5 cases in 2 3/8 hours
The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.
5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19
Answer:
2 2/19 cases per hour
Step-by-step explanation:
5 ÷ 2 3/8
~Turn the fraction on the left into an improper one
5 ÷ 19/8
~Copy Dot Flip
5/1 * 8/19
~Multiply
40/19 or 2 2/19
Best of Luck!
Complete the table and then graph the function. y= – 4x+34
Answer:
That is what your graph should look like.
Step-by-step explanation:
Someone, please help me fill this out
Answer:
Here is the summary:
y = 13x+5 satisfies the points (0, 5) and (-2, -21)y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)y = x-10 satisfies the points (8, -2)Step-by-step explanation:
Given the equation
y = 13x+5y = -3xy = x-10The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
y = 13x+5 satisfies the points (0, 5) and (-2, -21)y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)y = x-10 satisfies the points (8, -2)Sophie Ruth is eating a 505050-gram chocolate bar which contains 30\%30%30, percent cocoa.
Answer:
60%
Step-by-step explanation:
she probably eats almost 60% of the cocoa contained in the chocolate. which is high and would increase the caffeine levels in her body
plz help me on math
Somebody solve this plzz
Answer:
Not a function
Step-by-step explanation:
If you use the line/ pencil test ***I think that's what it's called...
you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.
What is the equation in standard form of the line y=1/9 x +5?
Work Shown:
[tex]y = \frac{1}{9}x+5\\\\9y = x+45\\\\9y-45 = x\\\\-45 = x-9y\\\\x-9y = -45\\\\[/tex]
The last equation is in the form Ax+By = C where A = 1, B = -9, C = -45
In the second step, I multiplied each term by 9 to clear out the fraction.
witch expression is equal to |-12| -|-3|?
A -15
B -9
C 9
D 15
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
| - 12 | - | - 3 |
= 12 - 3
= 9 → C
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
The equation below has one solution.
9x - 10 = 3x + 2
What is the solution to the equation?
–2
–1
1
2
Answer:
x=2
Step-by-step explanation:
The three consecutive terms
of an exponential sequence are
the second third and sixth terms
of a linear sequence. Find the
common ratio
the exponential
sequence.
Answer:
1Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
Hence the common ratio of the exponential sequence is 1
Graph the linear function d(x)=−1/2x−3.
Answer:
Step-by-step explanation:
The required graph of the given function d(x)=−1/2x−3 has been shown.
Given that, to plot the graph of the linear function, d(x)=−1/2x−3.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.
At x = 0
d(0) = -1/2 * (0) - 3
d(0) = -3
So, the ordered pair will be (0, -3).
Now, put x = 2
d(2) = -1/2 * 2 - 3
d(2) = -1 - 3
d(2) = - 4
So the ordered pair will be (2, -4)
joining these two points will show the graph of the given equation d(x)=−1/2x−3.
Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.
Learn more about graphs here:
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