Answer:
3072
Step-by-step explanation:
The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...
y = (initial value) × (growth factor)^(t/(growth period)
y = 3 × (2^(t/(1/2)) = 3×2^(2t)
After 5 hours, the number of cells will be ...
y = 3×2^(2·5) = 3×2^10 = 3×1024
y = 3072
There are 3072 cells in 5 hours.
_____
Additional comment
The function could be simplified to ...
y = 3×4^t
what are two numbers that multiply to 64 and add to - 20
Answer:
-4 and -16
Step-by-step explanation:
Let x = first number
Let y = second number
Given:
The two numbers multiply to 64⇒ xy = 64
Given:
The two numbers add to -20⇒ x + y = -20
Rewrite x + y = -20 to make x the subject:
⇒ x = -20 - y
Substitute into xy = 64 and solve for y:
⇒ (-20 - y)y = 64
⇒ -20y - y² = 64
⇒ y² + 20y + 64 = 0
⇒ (y + 4)(y + 16) = 0
⇒ y = -4, y = -16
As x + y = -20
If y = -4 then x = -16
If y = -16 then x = -4
Therefore, the two numbers are -4 and -16
Let they be a and b
a+b=-20--(1)ab=64So
[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]
[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]
[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]
From both equations
2a=-8=>a=-4-4+b=-20b=-16Ms. Lee takes out a loan to start a business. She borrows $5,000 of a simple annual interest rate of 6. 5% for 5 years. What is the total amount of interest Ms Lee must pay
Answer:
A = $6,625.00
Step-by-step explanation:
A = P(1 + rt)
A = 5000(1 + (0.065 × 5)) = 6625
Algebra 1 :
Work must be shown….
write the an equation for linear function f(x) if f(3)=-4 and f(2)=6
What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
what is a solution in 6th-grade math?
Answer:
A solution means any variable that makes the equation true
please help!!!! what is the equation for this graph
Answer:
[tex]f(x)=\sqrt[3]{x-2} +1[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]
where (h, k) is the midpoint of the curve.
Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]
[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin
Therefore, this graph has been translated 2 units to the right and 1 unit up.
Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]
if A = (0,0) and B = (8,2), what is the length of AB
Answer:
Hope the picture will help you
You buy 45 shares of evu confectioners at $63.12 apiece. unfortunately, the company falls on hard times and you end up selling the stock for $41.20 per share. how much money did you lose? a. $1,854.00 b. $986.40 c. $1,183.68 d. $2,840.40
Answer:
b is your answer to this question
The money lost due to a hard time for the company is $986.4.
Number of shares =45
Price per share =$63.12
So, the total cost of buying 45 shares = 45*63.12 = $2840.4
Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854
What is a loss?Mathematically, the loss is the difference between the cost price and the selling price.
Difference between the selling price and the cost price = 2840.4 - 1854
So, the difference between the selling price and the cost price = $986.4
Therefore, The money lost due to a hard time for the company is $986.4.
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What is the area of a square with vertices: G(1, 0), O(5, 2), A(3, 6) and T(-1, 4)? Show your work!
By finding the side length of the square, we will see that the area is 20 square units.
How to get the area of a square?
For a square of side length S, the area is:
A = S^2
In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.
Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So the distance between the points G(1, 0) and O(5, 2) is:
[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]
Then the area of this square is:
[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]
The area is 20 square units.
If you want to learn more about squares, you can read:
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Help!!!!!!!!!!!!!!!!!!!!!!! Pleaseeeeee
Answer:
C) 43.96
Step-by-step explanation:
1. Use the formula to find the circumference of a circle whic is C= πR
2. First multiply the radius (7 in) by 2
3. 7 x 2 = 14
4. Then multiply 14 by 3.14
5. 14 x 3.14 = 43.96
5. There's your answer :)
Hope this helps :)
Find the t-value such that the area in the right tail is 0.005 with 28
degrees of freedom.
t=3.673900
Explanation:Given
df = 28df=28 -- degree of freedom
Area = 0.005Area=0.005
Required
Determine the t-value
The given parameters can be illustrated as follows:
P(T > t) = \alphaP(T>t)=α
Where
\alpha = 0.005α=0.005
So, we have:
P(T > t) = 0.005P(T>t)=0.005
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900
Hence, t = 3.673900t=3.673900
A square pyramid has
a base edge of 8 inches
and a surface area of 304
square inches. Find the
Slant height of the
pyramid.
The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.
What is the Surface Area of a Square Pyramid?Surface area (SA) = a² + 2al
Given the following parameters:
Surface area = 304 sq. in.a = 8 in.l = ? (slant height)Plug in the values into (SA) = a² + 2al:
304 = 8² + 2(8)l
304 = 64 + 16l
304 - 64 = 16l
240 = 16l
240/16 = l
15 = l
l = 16
Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.
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Which product has 4 zeros after the digit 3?
0.03 x 104
0.3 x 104
0.3 x 10
0.03 X 109
Answer:
0.03×104=3.12
0.3×104=31.2
0.3×10=3
0.03×109=3.27
these are the products
hope it helps!
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches
Answer:
B
Step-by-step explanation:
=zxu
=4x3
12 square units
(z+v)x (y-u)
(4+4)x (8-3)
=8x5
=40 square units
(z+v)-x
(4+4)-7
8-7
=1 unit
(w+u)-y
(7+3)-8
10-8
2units
=0.5×1×2
= 1 square unit
=12+1+40
=52+1
=53 square units
Answer:
B. 53 square inches
Step-by-step explanation:
The attached figure is drawn to scale, and a grid is provided that makes it easier to see the dimensions of the various parts.
This figure can be easily decomposed into an overall rectangle with cutouts of a trapezoid at the top and a rectangle at the bottom right.
__
The overall rectangle has dimensions 8 units wide and 10 units high.
The trapezoid at the top has bases of 8 units and 7 units, and a height of 2 units.
The rectangle at the bottom right has dimensions of 4 units wide and 3 units high.
The area formulas for a rectangle and trapezoid are ...
A = LW . . . . area of a rectangle with length L, width W
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
__
Then the area of the figure is ...
figure area = overall rectangle - trapezoid - lower right rectangle
= (8 in)(10 in) - 1/2(7 in + 8 in)(2 in) -(4 in)(3 in)
= 80 in² -15 in² -12 in² = 53 in²
The area of the object is 53 square inches.
Find the length of the third side if necessary right in the simplest radical form
Answer:
√89
Step-by-step explanation:
The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...
c² = a² +b²
c² = 5² +8² = 25 +64 = 89
c = √89 . . . . the length of the third side
Answer:[tex]\sqrt{89}[/tex]
Step-by-step explanation:
opposite=8
Adjacent=5
Hypotenuse= ?
Using pythagoras theorem,
[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]
[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]
[tex]Hyp^{2}[/tex]=64 +25
[tex]Hyp^{2} =89[/tex]
Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse
Hyp=[tex]\sqrt{89}[/tex]
Question in photo, please answer ASAP !! Many thanks. : )
Answer:
Step-by-step explanation:
EF and CD are meant to be parallel. Whatever you do to one, you do the same thing to the to maintain slope symmetry.
So the blank should contain 90 clockwise.
You woke up at 9:00 am 5 hours later still doing school work then you took a nap for 2 hours what time was it is when you woke up
Solve for the missing angle
Answer:
[tex]\displaystyle 55,7[/tex]
Step-by-step explanation:
[tex]\displaystyle 1\frac{41}{53} = sec\:x \hookrightarrow sec^{-1}\:1\frac{41}{53} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]
OR
[tex]\displaystyle \frac{53}{94} = cos\:x \hookrightarrow cos^{-1}\:\frac{53}{94} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
How do you solve the Goldbach's Conjecture?
Answer:
Every integer greater than 5 can be written as the sum of three primes.
Step-by-step explanation:
Every integer greater than 5 can be written as the sum of three primes.
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509
The tax revenue Australia would generate each year is $96,054,697,991.
What is the percentage?
The percentage is the value per hundred.
Working population of Australia = 11,565,470 people
Annual average salary = $26,450
Income tax rate = 31.4%
Tax revenue generated by each resident = 26450*(31.4/100)
Tax revenue generated by each resident =$8305.3
So, Tax revenue generated by 11,565,470 residents = 11,565,470*8305.3
Tax revenue generated by 11,565,470 residents = $96,054,697,991
Therefore, the tax revenue Australia would generate each year is $96,054,697,991.
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Based on this stock price model, what is the best prediction of what the price will do next?
So sorry to ask another question but I need some help-
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet. What is the perimeter of the triangle?
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
Anthony deposits $800 into a savings account that carns 3.5% interest annually.
after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828
after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²
so
after n years he will get : 800 x 1,035ⁿ
Answer:
Step-by-step explanation:
800 x 1,035ⁿ
Use multiplication or division to find the missing number
2/5 = ?/15
HELP IVE BEEN ON THIS QUESTION FOR HOURS!!
god bless you and your family if your reading this .
What is 2/5 of 15?
Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!
How to Calculate the Fraction of a Whole Number
How to Calculate the Fraction of a Whole Number
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
15
1
So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
2 x 15
5 x 1
=
30
5
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.
We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.
30/5 = 6
5/5 = 1
When we put that together, we can see that our complete answer is:
6
1
The complete and simplified answer to the question what is 2/5 of 15 is:
6
hope this helps
Missing number is 6
Set up the proportion
[tex] \frac{2}{5} = \frac{x}{15} [/tex]
Cross multiply to get 5x=30.
Divide both sides by 30 to get the answer
5x÷5=30÷5
x=6
What are the step to solving
3(5x - 2 = 3x + 8 - 2x
this should be the answer
Brainlest if u get it right
Answer:
A. would be best I'm pretty sure
Step-by-step explanation:
Answer: A.
Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students. Option A is a unbiased sample, therefore, that's your answer.
Hope this helps! :)
The ratio of acrobats to dancers was 13 to 15. If there were 247 acrobats, how many dancers were there?
Answer:
im terreb.le at math
Step-by-step explanation:
Answer:
285 dancers
Step-by-step explanation:
[tex]\frac{acrobats}{dancers}[/tex] = [tex]\frac{13}{15}[/tex] = [tex]\frac{247}{x}[/tex]
After cross-multiplication:
13x = ( 15 )( 247 )
13x = 3705
x = 285 dancers
The table below shows data for a class's midterm and final exam. Use the table to answer the following questions. Mid-Term Final 100 98 100 95 100 93 95 91 95 88 92 82
9278 88 78 85 65 75 60 What is the 5 number summary for the class's Final Exam? Minimum
type your answer... Lower Quartile type your answer.... Median type your answer... Upper Quartile type your answer...
Maximum
type your answer...
Based on the scores in the final exam, the five number summary of the class is:
Minimum = 60Lower quartile = 71.5.Median = 85.Upper Quartile = 94.Maximum = 98What is the five number summary for the final exams?The minimum is the smallest score of 60. The maximum will be the largest score of 98.
The lower quartile can be found by the formula:
= (Second score + Third score) / 2
= (65 + 78) / 2
= 71.5.
The upper quartile is:
= (Third to last score + Second to last score) / 2
= (93 + 95) / 2
= 94
The median is:
= (5th score + 6th score) / 2
= (82 + 88) / 2
= 85
Find out more on the five number summary at https://brainly.com/question/24809873.
What is the distance between (4, 6) and (4, -1) ?
7 units
5 units
4 units
I don't know
The distance between points (4,6) and (4,-1) is 7 units.
Given The coordinates of the end points of line (4,6) and (4,-1).
Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.
The distance between two points can be calculated as under:
Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).
To calculate the distance we need to put the values of coordinates in the formula:
Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]
=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]
=[tex]\sqrt{0+49}[/tex]
=[tex]\sqrt{49}[/tex]
=7
Hence the distance between (4,6) and (4,-1) is 7 units.
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#SPJ10
Answer:
it would be 7 units :)
Step-by-step explanation: cuz im smart and said so
solve pls brainliest
Answer:
1/4
Step-by-step explanation:
20n=5
n=5/20
n=1/4
therefore, it's 1/4
Answer:
1/4th
Step-by-step explanation:
All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.
please mark as brianlest.
What is 25 time 39 divided by 2150?
Answer:
Approx 0.453488372
Step-by-step explanation:
You can get this with a calculator.
25 × 39 = 975
975÷2150≈ 0.453488372
I'm not sure if I'm supposed to round this or not, so I won't. If you need it rounded, comment, and I will!
I would love brainliest!!!!