Answer:
Population of bacteria in culture after 14 hours is 285541.
Step-by-step explanation:
We are given with [tex]P_{t} =P_{0}(2)^{\frac{d}{t}}[/tex]
Here initial population is 41000 , t=5 and d=14
Plug in these values into the formula
[tex]P_{14} =41000(2)^{\frac{14}{5} }[/tex]
Simplify
[tex]P_{14}= 41000(2)^{2.8}[/tex]
=41000(6.9644)
=285540.5847...
To the nearest whole number is 285541.
Answer:
285541.
Step-by-step explanation:
P0=41000-The initial population
t=14-Time elapsed
d=5-The doubling time
Pt=P0⋅2^t/d
Pt=41000⋅2^14/5-Plug in
Pt=285540.5848≈285541-(Use parenthesis in the calculator for the exponent)
what is the slope of the line (1/2,-4) (1/2,5)
Find the slope of the line passing through each of the following pairs of points.
(0, -8), (0,4)
Answer:
The slope is undefined
Step-by-step explanation:
You can find the slope by doing change in y/change in x.
Y changed by 12 units while x changed by 0.
12/0 is undefined, so the slope is as well (on a graph, the line would be vertical)
0 or undefined or infinity
Step by step explanation:
slope = y2 - y1 / x2 - x1
= 4 + 8 / 0 + 0
= 12 / 0
= 0
Is the side lengths 7,24,25 a right triangle
Answer:
Yes
Step-by-step explanation:
Because these sides fit right in pythagoras theorem
24²+7²=25²
9 increased by the quantity of b added to 10
Answer:
19b + 10
Step-by-step explanation:
Here, we want to increase 9 by the quantity of b added to 10.
We proceed as follows;
9 increased by quantity of b is 9 + b
This added to 10 would be 9 + b + 10 = 19b + 10
Is this graph a function?
Answer:
Yes!
Step-by-step explanation:
Because it passes the vertical line test.
Answer:
no, because if you use vertical line test the graph would have intersects many times.
PLEASE HELP, DUE SOON!!
Answer:
If your Simplifying the expression the answer would be 243b2
Answer:
angles 3 and 4 are a linear pair
Step-by-step explanation:
3 and 4 are a linear pair because the both make up 180 degrees together.
a baseball pitcher has 12 2/3 innings
Answer: The answer is 1.375
Step-by-step explanation:
Bastian was able to map triangle ABC onto triangle A'B'C' using a reflection, rotation, and a dilation. Then Bastian concluded that he was able to map triangle ABC onto triangle A'B'C' using a sequence of rigid transformations and dilations, so the triangles are similar. What error did Bastian make in his conclusion?
Bastian used a rotation, so the triangles aren't similar.
Bastian used a combination of similarity transformations, which can produce a non-similar result.
There is no error. This is a correct conclusion.
Bastian used a dilation, which does not preserve similarity.
Where is the shading in the graph of the quadratic inequality y > -22 + 6x + 3? Why?
Answer:
Check Graph below
Step-by-step explanation:
y > -22 + 6x + 3
Add -22 and 3.
y > 6x - 19
Use the slope-intercept form to find the slope and y-intercept.
Slope: 6
y-intercept: (0,-19)
Graph a dashed line, then shade the area above the boundary line since y is greater than 6x − 19 .
y > 6x - 19
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
What is the equation of the graphed line?
a. y=x+4
b. y=-x-3
c. y=-x+3
d. y=-x-4
Answer:
b.) y=-x-3
Step-by-step explanation:
Your slope is negative 1 and the y intercept is -3.
A conjecture and the flowchart proof used to prove the conjecture are shown.
Given: A B C D is a parallelogram. Prove: Angle 1 is supplementary to angle 3. Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.
Drag an expression or phrase to each box to complete the proof.
Answer:
1. Definition of parallelogram
Step-by-step explanation:
1. Definition of parallelogram
2. Angle Congruence Postulate
3. m<2 + m<3 =180
4. m<1 + m<3 =180
5. Definition of supplementary
∠1 is supplementary to ∠3 by the Definition of supplementary angles
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Prove: Angle 1 is supplementary to angle 3.
Given information as; ABCD is a parallelogram.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = the exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
m<1 + m<3 = 180 Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Therefore, we can conclude that ∠1 is supplementary to ∠3 by the Definition of supplementary angles.
Learn more about supplementary angles here:
https://brainly.com/question/2882938
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Factor and solve each quadratic equation
Show your work
2t^t+t-3=0
Answer:
t=1
Step-by-step explanation:
2t+t−3=0
2t+t+−3=0
(2t+t)+(−3)=0(Combine Like Terms)
3t+−3=0
3t−3=0
Step 2: Add 3 to both sides.
3t−3+3=0+3
3t=3
Step 3: Divide both sides by 3.
3t
3
=
3
3
t=1
PLEASE HELP ME ASAP !!!!!!!!!!!!!!!!!
Answer:
rational numbers
Step-by-step explanation:
all numbers are rational, but not all numbers are integers or whole numbers.
What is the correct equation in vertex form for x^2+4x-12=0
Answer:
[tex]\boxed{(x+2)^2-16=0}[/tex]
Step-by-step explanation:
[tex]{}\quad x^2\,+\,4x\ -\ 12=0\\\\\underbrace{x^2+2\cdot x\cdot2+2^2}-2^2-12=0\\\\{}\qquad(x+2)^2\ \ -4-12=0\\\\{}\qquad(x+2)^2-16=0[/tex]
Please help please help
I need help with this:v
Answer:
t>=45
Step-by-step explanation:
Transformations of quadratics
y=2(x-1)^2+1
y=-(x-3)^2-4
Solve 4(x + 1) = 4x + 4
A- No solution
B- 0
C- All real numbers
D- 1
Find the measure of each angle.
B
(15x - 2)
17
(7x + 40°
A
12
mZBAC =
mZCAD =
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
The ∠BAC is 58° and ∠CAD is 32° for the given figure.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given,
∠BAD = 90°
Since,
∠BAD = ∠BAC + ∠CAD
15x - 2 + 7x + 4 = 90°
22x = 88 ⇒ x = 4
So,
∠BAC = 15(4) - 2 = 58°
And
∠CAD = 7(4) + 4 = 32°
Hence "The ∠BAC is 58° and ∠CAD is 32° for the given figure".
For more about the angle,
brainly.com/question/13954458
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What is 14.764823 rounded to?
Answer:
14.76 (if rounded by hundredths.)
Step-by-step explanation:
hoped this help </3
For each set of sequences, find the first five terms. Then compare the growth of the arithmetic sequence and the geometric sequence. Which grows faster? When? Anthmetic sequence: f(1) = 2; common difference: d = 3 Geometric sequence: g(1) = 2; common ratio: r = 3 Arithmetic Geometric 9(2) which value do you think will be more, f(100) or (100)? Why? (100)
Answer:
yx(yx)-x11
Step-by-step explanation:
its the x-axis can contribute with the center so it makes since so its yx(yx)-x11
$2.99 for 20 shells
question:
Answer:
$0.15 per shell
Step-by-step explanation:
$2.99/20 = 0.1495
Because we are dealing with money we round to the nearest cent whic is in the tens place
find the pattern 7,10,14,19
Answer:
the answer is 25
Step-by-step explanation:
1 When the product of 4 and a number x is added to 12, the result is 16. What is the difference between x and 8?
Answer:
x = 1
Step-by-step explanation:
12 + 4 x = 16
Subtract 12 from both sides.
4x = 4
Divide 4 on both sides.
x = 1
this is what I meant on my last question. sorry
Answer:
its C
Step-by-step explanation:
-3+x - 1/3x+4
plz simplify this :)
Can someone answer both of these questions?
Answer:
First one is 1260°
Second one is 720°
Step-by-step explanation:
Hope this helped :)
I NEED THE ANSWER TO THIS ASAP PLEASE!!!
what is 1/25 of 5.2 time 10 to the power of 3?
Answer:
208
Step-by-step explanation:
Answer:8
Step-by-step explanation:
Is this description right or wrong??(please answer this question correctly don't just put random things for my answer) An automatic transfers debits $75.00 each month from Carly's savings account.
Is that description right or wrong?
Lucy is saving money to buy a game. The game costs $21, and so far she has saved one-third of this cost. How much money has Lucy saved?
Answer:
$7
Step-by-step explanation:
just did 21 divided by three since it says she has saved one third of the $21.
Step-by-step explanation:
one third of $21 is $7 this is your answer
