The population after 516 minutes is 171360 bacteria
How to determine the population after 516 minutesFrom the question, we have the following parameters that can be used in our computation:
Initial, a = 10,710 bacteria
Rate = doubles i.e. 2
Using the above as a guide, we have the following:
f(x) = a(2)^x
Where x is the time
516 minutes is 4 times 129 minutes
This means that
x = 516/129 = 4
So the population after 516 minutes can be calculated as follows:
f(4) = 10710 * (2)^4
Evaluate
f(4) = 171360
Hence, the population is 171360
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Write the equation in standard form for the circle with radius 9 centered at the origin.
What is the value of X?
A. 55°
B. 1600
C. 200
D. 50°
Answer:
50
Step-by-step explanation:
180-105=75
180-(75+55)=50
A fish tank holds 24 gallons of water complete the table
Answer:
For 50% its 12, for 25% its 6, and for 75% its 18
Step-by-step explanation:
A student must choose to participate in two different events during field day. There are four track events, two academic events, and six team sports events. What is the approximate probability that the student will choose to participate in two team sports? 0. 114 0. 227 0. 273 0. 545.
Answer: 0.227
Step-by-step explanation:
Answer:
B. 0.227
Step-by-step explanation:
Have a great day!
Solve the expression. use order of operations. 8x3+70/7-7
what is the value of 6 n=2 (n-1)!/2
Answer:
16 i think
Step-by-step explanation:
Can someone help me find the Axis of Symmetry and Range for my parabola graph please?
Check the picture below.
the axis of symmetry is the line, in this case a vertical one, where the graph begins to mirror itself.
the range is simply the vertical distance in this case, the parabola goes as low as 0 then back up, the arrows mean the graph keeps on +∞.
The function p(x) = x(x - 5)(x − 2)(x+3) has four zeros. What is the smallest zero?
=
X =
1
1
2
•
X
3
Answer: The smallest zero is -3.
Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.
Here, the given function is,
p(x) = x(x-5)(x-2)(x+3)
For finding the zeroes of p(x),
p(x) = 0
⇒ x(x-5)(x-2)(x+3) = 0,
⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0
⇒ x = 0 or x = 5 or x = 2 or x = -3
Thus, the zeros of the given function are 0, 5, 2, -3
In which -3 is smallest.
Answer:
x = -3
Step-by-step explanation:
x(x-5)(x-2)(x+3) = 0 means at least one of these terms = 0
so
x = 0 or
x-5 = 0 then x = 5 or
x-2 = 0 then x = 2 or
x+3 = 0 then x= -3
which fraction has a value that's equal to 3/4? A. 9/16 B. 12/16 C. 4/3 D. 12/12
Answer:
B. 12/16
Step-by-step explanation:
12/16 divided by 4/4 = 3/4
Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several
parks to visit:
She wants to hike for 2 hours.
She wants LO spend no more than 6 hours away from home.
She can
average 50 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandria's home to a park that satisfies the conditions.
The inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.
InequalityMinimum distance=(50×2)
Minimum distance=100 miles
Time (T) required to cover the distance (D)
Time=D/50 hours
Inequality is 2+D/50≤6
Hence:
Let solve for Distance (D)
D/55≤6-2
D≤4×50
≤200
Therefore the inequality to find possible distances from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.
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Use the equation y=3(1/2)^x to determine the value of y if x=−2. A)3 B)4/9 C)3/4 D)12
Step-by-step explanation:
remember the rules of exponents.
a "minus" sign means 1/...
like 2^-1 = 1/2
and 2^-3 = 2^(3(-1))
so, it is 1/2³ = 1/8.
so, now here in our case
y = 3×(1/2)^-2 = 3×(1/2)^(2(-1)) = 3×((1/2)²)^-1 = 3×(1/4)^-1 =
= 3× 1 / 1/4 = 3×4 = 12
What is the slope of the line tangent to the polar curve r=3theta
The slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.
What is the slope?A surface on which one end or side is at a higher level than another; a rising or falling surface.
The slope of the line tangent to the polar curve;
[tex]\rm r =3sin\theta[/tex]
The slope of the tangent is given by the following formula;
[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + cos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}[/tex]
Differentiate the given polar curve
[tex]\rm r =3sin\theta\\\\\dfrac{dr}{d\theta}=3cos\theta\\\\[/tex]
Substitute all the values in the formula
[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (\dfrac{dr}{d\theta}sin\theta + rcos\theta)}{(\dfrac{dr}{d\theta}cos\theta-rsin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ (3cos\theta \times sin\theta +3 sin \theta \times cos\theta)}{(3cos\theta \times cos\theta-3 sin \theta \times sin\theta)}\\\\\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{3 (cos\theta sin\theta + sin \theta cos\theta)}{3(cos\theta cos\theta- sin \theta sin\theta)}\\\\[/tex][tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin\theta cos\theta}{(cos^2\theta -sin^2 \theta)}[/tex]
Substitute the value of [tex]\theta[/tex] in the equation
[tex]\rm \text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{ 2sin \dfrac{\pi }{6} cos\dfrac{\pi }{6} }{(cos^2\dfrac{\pi }{6} -sin^2 \dfrac{\pi }{6} )}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{2 \times 0.5 \times 0.86}{0.86^2 -0.5^2}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.73- 0.25}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =\dfrac{0.86}{0.48}\\\\\text{Slope of tangent line} = \dfrac{dy}{dx} =1.79[/tex]
Hence, the slope of the line tangent to the polar curve [tex]\rm r =3sin\theta[/tex] is 1.79.
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can you please help me solve for x
Write the Prime factors that 24 and 36 have in common By showing them multiplied together
The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3
How to get prime factors?A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.
Now, we have;
Prime factors of 36; 2 × 2 × 3 × 3
Prime factors of 24; 2 × 2 × 2 × 3
The prime factors that they have in common will be; 2 × 2 × 3
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A certain triangle has side lengths of 125 feet, 142 feet, and 250 feet. Which of the corresponding side lengths below represent a triangle similar to this one?
25 feet, 42 feet, 175 feet
175 feet, 202 feet, 425.5 feet
275 feet, 312.4 feet, 962.5 feet
100 feet, 113.6 feet, 200 feet
pls answer asap
Answer: 100ft 113.6ft 200ft
Step-by-step explanation:
These new lengths are all ⅘of the original length
1. i dentify if the following figure is an examle of a parallelogram. show your solution.
2. is this given figure on the side a parallelogram of Not?(prove using the properties of parallelogram)
The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
As we know in the parallelogram, the diagonals bisect each other.
Then,
432 = 3x²
x² = 144
x = √144
x = 12
In the parallelogram, the adjacent opposite angles are the same.
∠C+∠B = 240°
= 360 - 240
∠A + ∠D = 120°
∠A = ∠D = 120°/2 = 60
∠D/2 = 60/2 = 3y + 60
3y + 60 = 30
3y = -30
y = -10
From the definition of the parallelogram, the provided figure is a parallelogram.
Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.
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Write an expression for each phrase. 1. Jose had 3 more hits today than in yesterday’s game.
Answer:
y=3x bro I'm pretty sure this is wrong tho I'm not good at math
Answer:
I'm not sure but I think it's +3
Step-by-step explanation:
more than = +
Find The Median, First quartile, third quartile, and interquartile range of the data.
the numbers are 20,18,6,4,11,22,0
Answer:
Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8
Step-by-step explanation:
1. Sort the numbers in numerical order (like 1, 2, 3, etc.)2. Find the number that is in the middle3. Find all the quartiles by finding the median of the lower and upper halves of the list4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR
Stephanie put 40% of her t-shirts in her dresser. a) If she put 36 t-shirts in her dresser, how many t-shirts does Stephanie own? b) How many t-shirts are not in her dresser?
Answer:
a.90 b.54
Step-by-step explanation:
40%=0.4 number of t-shirt in her dresser
Total number of t-shirt is 100%
=1.0
let x be the total number of t-shirt
0.4=36
1.0= x
0.4x=36
dividing both sides by 0.4
x=90
b. 90-36=54 t-shirts
anyone knows the answer?!
Answer:
x^2-10x+24
Step-by-step explanation:
We need to factor the equation
(x-4)(x-6)
-4x+-6x=-10x
Set it equal to 0
x-4=0
x=4
x-6=0
x=6
40 x 125% step it out
Answer:
0.50 or 50%
Step-by-step explanation:
40 x 125 = X
1.25 as a decimal or 125%
40 x 1.25 = 0.50
0.50 --->50%
40 x 125% = 50%
Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the
diameter of the barrel was. She needs to know the diameter so that she can build a platform for it to sit
on. The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in. What is the
diameter of the barrel? Round only your final answer to the nearest inch.
The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of the cylinder can be given as,
[tex]V=\pi r^2h[/tex]
Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.
Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.
She needs to know the diameter so that she can build a platform for it to sit on.
The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.
[tex]V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in[/tex]
The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,
[tex]d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in[/tex]
Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.
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Can anyone please help me out?:)
f(x) is our regular graph where the y value is determined by the x value that is plugged in.
f(x + 2) = horizontal shift to the left 2 units
---x, the horizontal axis, is what is being altered here because the change occurs within the parenthesis. We always do the opposite action/move the opposite way when the shift occurs within the parenthesis.
f(x) + 2 = vertical shift up 2 units
---y, the horizontal axis, is what is being altered here because the change occurs outside the parenthesis. We move the function as we would expect to when the shift occurs outside the parenthesis.
Hope this helps!
twice the sum of a number and 5 is 22 what is the number
BOXES A cardboard box company designs all of its boxes so that they have a depth of n, a height of 2n+1, and a width of 3n+2.
The volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n
What is of volume of rectangular prism?Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
V=w×h×l
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A cardboard box company designs all of its boxes suc that they have the measure of depth of n, a height of 2n+1, and the measure of width of 3n+2.Thus, the volume of this box is,
V=w×h×l
V=(3n+2)×(2n+1)×(n)
V=(3n+2)×(2n²+n)
V=6n³+3n²+4n²+2n
V=6n³+7n²+2n
Thus, the volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n
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What is the length of DF if ED=2y +12, DF = 3y +8,
and EF = 25?
E
D
(not drawn to scale)
A 1
B 11
C 14
D 9
The length of the segment DF is 11 units
How to determine the length of DF?The given parameters are:
ED = 2y + 12
DF = 3y + 8
EF = 25
The length EF is:
EF =ED + DF
This gives
2y + 12 + 3y + 8 = 25
Evaluate the like terms
5y + 20 = 25
Subtract 20 from both sides
5y = 5
Divide by 5
y = 1
Substitute y = 1 in DF = 3y + 8
DF = 3(1) + 8
Evaluate
DF = 11
Hence, the length of DF is 11 units
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The volume of a sphere is 420.
What is the radius?
Answer:
r≈4.65
Step-by-step explanation:
What is expression is equivalent to 5x + 30
Hey there!
5x + 30
5(x + 6)
= 5(x) + 5(6)
= 5x + 30
5x + 30 = 5x + 30
Therefore, the answer should be:
5(x + 6)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The box plots below show the inches flown by two different model airplanes.
Airplane A
Airplane B
+
+
190
200
210
+ ++ +
220 230
+ ++
250 260
240
Length of Flight (in.)
Which has a greater median flight length? Complete the statement
Airplane Av has a greater median flight length.
Answer:
im passing this concept trust me the anser is airplane B
Step-by-step explanation:
What is the radius of a sphere with a volume of 47270 cm 3 , 47270 cm 3 , to the nearest tenth of a centimeter?