The number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10
How many times smaller is the bacterial cell than the amoeba cell?The given parameters are:
Bacteria cell = 4 x 10^-6 m
Amoeba cell = 2.5 x 10^4 m
The number of times (n) is calculated as
n = Amoeba cell/Bacteria cell
This gives
n = (4 x 10^-6 m)/(2.5 x 10^4 m)
This gives
n = 1.6 * 10^-10
Hence, the number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10
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christina has $22 more than 3 times as much money as melissas has. together they have $122. How much money does each girl have
Help quickly please I need to answer this quickly
The temperature in Juno, Alaska was 5 degrees at 7am. The temperature dropped 15 degrees every hour for 3 hours. What was the temperature at 10am?
Work Shown:
7 AM, temp = 5
8 AM, temp = -10
9 AM, temp = -25
10 AM, temp = -40
Shortcut: 5 - 3*15 = 5 - 45 = -40
I recommend drawing a vertical number line to see what's going on.
Side note: -40 degrees Celsius = -40 degrees Fahrenheit
given the function h(x)=x^2-9x+18, determine the average rate of change of the function over the interval 4<_ x <_ 11
To calculate average rate of change of a function f(x) over an interval between 2 points (a. f(a)) and (b, f(b)) is given by
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
The given function is [tex]h(x)= x^{2} -9x+18[/tex]
and the given interval is [tex]4\leq x\leq 11[/tex]
Now, h(b) = h(11) = [tex](11)^{2} -9(11)+18[/tex]
= [tex]121-99+18[/tex]
= [tex]40[/tex]
h(a) = h(4) = [tex](4)^{2} -9(4)+18[/tex]
= [tex]16 -36+18[/tex]
= [tex]-2[/tex]
The average rate of change between (4, -2) and (11, 40) is
= [tex]\frac{40-(-2)}{11-4}[/tex]
= [tex]\frac{40+2}{11-4}[/tex]
= [tex]\frac{42}{7}[/tex]
= [tex]42[/tex]
∴ The average rate of change between (4, -2) and (11, 40) is 42
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I need step by step solution of this question.i will give brainliest to who gives step by step answer.
Answer:
(- 1, - 2/3, 1/2)
======================
Factorize as below and find roots:
6x³ + 7x² - x - 2 = 06x³ + 6x² + x² - x - 2 = 06x²(x + 1) + x² + x - 2x - 2 = 06x²(x + 1) + x(x + 1) - 2(x + 1) = 0(x + 1)(6x² + x - 2) = 0(x + 1)(6x² + 4x - 3x - 2) = 0(x + 1)(2x(3x + 2) - (3x + 2)) = 0(x + 1)(3x + 2)(2x - 1) = 0x + 1 = 0 or 3x + 2 = 0 or 2x - 1 = 0x = - 1 or x = - 2/3 or x = 1/2Answer:
[tex]x=-1, \quad x=\dfrac{1}{2}, \quad x=-\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given polynomial:
[tex]f(x)=6x^2+7x^2-x-2[/tex]
[tex]\boxed{\begin{minipage}{6 cm}\underline{Factor Theorem}\\\\If $f(x)$ is a polynomial, and $f(a) = 0$,\\ then $(x-a)$ is a factor of $f(x)$.\\\end{minipage}}[/tex]
Since the constant of the given polynomial is -2, the possible factors are ±1 and ±2.
Apply the Factor Theorem to check the possible values:
[tex]f(1)=6(1)^3+7(1)^2-(1)-2=10 \neq 0[/tex]
[tex]f(-1)=6(-1)^3+7(-1)^2-(-1)-2=0[/tex]
[tex]f(2)=6(2)^3+7(2)^2-(2)-2=72 \neq 0[/tex]
[tex]f(-2)=6(-2)^3+7(-2)^2-(-2)-2=-20 \neq 0[/tex]
Therefore, (x + 1) is a factor of the polynomial:
[tex]f(x)=(x+1)(ax^2+bx+c)[/tex]
Compare with the original function to find the coefficients of the quadratic:
[tex]6x^3=ax^3 \implies a=6[/tex]
[tex]7x^2=(b+a)x^2 \implies b=1[/tex]
[tex]-2=c \implies c=-2[/tex]
Therefore:
[tex]f(x)=(x+1)(6x^2+x-2)[/tex]
Factor the quadratic:
[tex]f(x)=(x+1)(6x^2+4x-3x-2)[/tex]
[tex]f(x)=(x+1)[2x(3x+2)-1(3x+2)][/tex]
[tex]f(x)=(x+1)(2x-1)(3x+2)[/tex]
Set the polynomial function to zero:
[tex](x+1)(2x-1)(3x+2)=0[/tex]
Apply the zero product property:
[tex](x+1)=0 \implies x=-1[/tex]
[tex](2x-1)=0 \implies x=\dfrac{1}{2}[/tex]
[tex](3x+2)=0 \implies x=-\dfrac{2}{3}[/tex]
Therefore, the solutions are:
[tex]x=-1, \quad x=\dfrac{1}{2}, \quad x=-\dfrac{2}{3}[/tex]
HELP ASAP I'M TIMED!!!! Which expression is equivalent to (x y) z?
O (x + y) + z
O 2 z (x y)
O x (y z)
O x (y + z)
Answer:
I believe its O x(yz)
Step-by-step explanation:
-4x + 15 + -49
please show work
Answer:
12
Step-by-step explanation:
that is my answer and I don't need your
With explanation! Need it asap
Second Question: Name the polygon.
Answer:
Decagon or 10
Step-by-step explanation:
Well to find the angle of B, you would have to do 180=2(18) which is 36 + x
x=180-36 x is 144 this is a decagon with ten sides due to the equation: 180(n-2)=144n where the answer is n=10
Can I have brainliest?
eugfweuifwefuwefuwed
Answer:
1/8 = 0.12500
Step-by-step explanation:
23 divided by 26 = 2(3 - 6) = 2(-3) = 1/23
assignment dueee helppp 40 points
Answer:
1) 38
2) 18
Step-by-step explanation:
1) 4m - 2t
m = 10
t = 2
(4 * 10) - (2 * 2)
40 - 4 = 36
Answer : 36
2) t + 2m - 4
m = 10
t = 2
2 + (2 * 10) - 4
22 - 4 = 18
Answer : 18
3) m/2t
m = 10
t = 2
10/(2*2) = 2.5
Answer : 2.5
Solve the following quadratic equation for all values of x in simplest form.
(x + 2)^2 – 46 = 24
Answer:
x = - 2 ± [tex]\sqrt{70}[/tex]
Step-by-step explanation:
(x + 2)² - 46 = 24 ( add 46 to both sides )
(x + 2)² = 70 ( take square root of both sides )
x + 2 = ± [tex]\sqrt{70}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{70}[/tex]
then solutions are
x = - 2 - [tex]\sqrt{70}[/tex] , x = - 2 + [tex]\sqrt{70}[/tex]
6х-10 = -8 + 3x
What's the answer I can't figure it out
Answer:
So,x=2/3
Step-by-step explanation:
6x-10=-8+3x
6x-3x=-8+10
3x=2
x=2/3
Hope its helpful for you
Answer:
[tex]6x - 10 = - 8 + 3x \\ 6x - 3x = - 8 + 10 \\ 3x = 2 \\ \boxed{x = \frac{2}{3}}[/tex]
What is the value of x if 3x+2=8?
F. -2
G. 0
H. 2
J. 6
Categorical data? must be numeric. cannot be numeric. may be either numeric or nonnumeric. must be nonnumeric.
Categorical data can be either numeric or nonnumeric.
What are Categorical Data?Categorical data can be described as a type of data that can be divided into group and given labels or numerical value for the sake of identification.
Some examples of numerical data are age group, race, sex, educational level, among others.
For example, we can give numerical values like 1 for male, and 2 for female when categorizing people based on sex.
Therefore, categorical data can be either numeric or nonnumeric.
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What are the terms of the expression -9h + 5y - 6h?
Please answer
The terms of the expression are: -15h and 5y.
How to Find the Terms of an Expression?A term of an expression can be a constant, a variable multiplied by a constant, or a variable standing alone.
Given the expression, -9h + 5y - 6h, simplify the expression in order to determine the terms of the expression:
-9h + 5y - 6h
Combine like terms
-9h - 6h + 5y
-15h + 5y
Therefore, the terms of the expression are: -15h and 5y.
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An inlet pipe on a swimming can be used to fill the pool in 10 hours. the drain pipe can be used to empty the pool in 30 hours. if the pool is 1/5 filled and then the inlet pipe and drain pipe are open, how long from that time will it take to fill a pool?
12 hours will it take to fill the given pool .
we can solve this problem using unitary method ,
10 hours is required to fill the full pool
1 hour is required to fill 1/10th of the pool
30 hours is required to empty the pool
1 hour is required to empty 1/30th of the pool
If two pipes are open then in 1 hour ( 1/10 - 1/30 = 2/30 = 1/15 ) pool will be filled .
The pool is 1/5th filled already as it is mentioned .
So , remaining is ( 1 - 1/5 = 4/5 )
If 1/15th is filled in 1 hour , then 4/5th will be filled in ( 15 × 4/5 ) hours = 12 hours
So, it will take 12 hors to fill the pool .
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ASAP. Please help me.
Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that:____.
Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that yuan has depreciated relative to dollar.
What is meant by the exchange rate?
The price of one currency relative to another is known as the exchange rate. When nations employ gold or another accepted standard, and each currency is worth a particular amount of the metal or other standard, the exchange rate is "fixed."Last week: $1 = 0.12 yuan
Therefore, for exchange of $1, 0.12 yuan will be given
Today: $1 = 0.2
Therefore, for exchange of $1, 0.2 yuan will be given.
So, yuan will be given for same amount of $. Thus yuan has depreciated.
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Help with problems 8 10 and 11
8) The equation of the line in slope-intercept form is y = 5 · x - 8. (Correct choice: A)
10) The slope of the line is equal to 0. (Correct choice: A)
11) The equation for a graph that is a vertical line is 3 · x - 2 = 0. (Correct choice: C)
How to analyze and interpret linear equations and their features
Herein we must analyze and understand linear equations and their features. 8) The first exercise consists in looking for a linear equation in slope-intercept form with a slope of 5 and y-intercept of - 8, linear equations in slope-intercept form are defined by the following expression:
y = m · x + b
Where:
m - Slopeb - y-Interceptx - Independent variabley - Dependent variableIf we know that m = 5 and b = - 8, then the equation of the line in slope-intercept form is y = 5 · x - 8. (Correct choice: A)
10) The slope can be determined by the secant line formula:
m = (3 - 3) / [5 - (-4)]
m = 0
The slope of the line is equal to 0. (Correct choice: A)
11) Vertical lines on a Cartesian plane are of the form x = a or x - a = 0. Then, the equation for a graph that is a vertical line is 3 · x - 2 = 0. (Correct choice: C)
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The ratio of the measures of three sides of a triangle is 2: 5: 4 , and its perimeter is 165 units. Find the measure of each side of the triangle.
Answer:
30 units, 75 units and 60 units respectively
Step-by-step explanation:
The price of a train ticket consists of an initial fee of \$5$5dollar sign, 5 plus a fee of \$2.75$2.75dollar sign, 2, point, 75 per stop. julia has \$21$21dollar sign, 21 and would like to travel 505050 kilometers. she wants to know the largest number of stops she can afford to buy on a ticket. let sss represent the number of stops that julia buys. 1) which inequality describes this scenario?
An inequality that represents given scenario is 5 + 2.75x ≤ 21
For given question,
The $21 means that there is a limit to the number of stops she can take using the train.
From given information, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is calculated using:
Initial Fee + Rate × Number of stops ≤ Amount
We use ≤ because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
5 + 2.75x ≤ 21
Therefore, an inequality that represents given scenario is 5 + 2.75x ≤ 21
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16+16 divided by 4^2
please just answer I want an even 2,000 point's
but here's the question
Whats the best animal?
(Hint say Platypus)
Answer:
perry da platypus
Step-by-step explanation:
Australia's short beaked platypus
Step-by-step explanation:
sorry if am wrong
How to express ABC in terms of x?
Answer:
∠ ABC = 180 - 2x
Step-by-step explanation:
AB and BC are congruent , so the triangle is isosceles with base angles congruent , that is
∠ A = ∠ C = x
the sum of the 3 angles in the triangle = 180° , then
∠ ABC + x + x = 180
∠ ABC + 2x = 180 ( subtract 2x from both sides )
∠ ABC = 180 - 2x
19
Type A batteries and type B batteries were tested.
The cumulative frequency diagram shows information about the battery life of type A.
19 (a)
80
70
60
50
Cumulative
frequency 40
30
20
10
of
0
Type A
800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800
Battery life (hours)
Estimate the interquartile range for type A.
Answer
hours
[2 marks]
300 Hours will be the Interquartile range for the batteries of type A
In the given data there is a total number of 11 terms for Hours. We have to calculate the median value of Hours by using the formula :
=> Median = [tex]\frac{n+1}{2}[/tex], and we know that Q2 = Median so Q2 can be calculated by Q2 = [tex]\frac{n+1}{2}[/tex] => Q2 = 6 => 6th term Will be the Median.
Median = Q2 = 1300 Hours.
Now we have to Calculate Lower Quartile Q1 & Upper Quartile Q3. Since We have our Median 1300 Hours. So, the lower quartile will be :
Q1 = 1100 Hours
and, the Upper Quartile will be Q3 = 1400 Hours.
We have our Upper and Lower Quartiles. We can Calculate Interquartile Range be using the formula Q3 - Q1
=> IQR = Q3 - Q1
Putting values of Q3 and Q1, We get :
=> IQR = 1400 - 1100 => IQR = 300 Hours
Hence, the Interquartile Range IQR is 300 Hours.
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hlp!!!
The sum of two numbers is 27. The larger number is 6 more
than twice the smaller number. Which system of equations
can be used to find the two numbers?
Answer:
[tex]x+y=27[/tex]
[tex]y=2x+6[/tex]
Step-by-step explanation:
Letting [tex]x[/tex] and [tex]y[/tex] represent the smaller and larger number, respectively we create these equations.
What is the ratio of triangles to stars?
CHALLENGE! Can you simplify the ratio above? Why or why not?
3:5
Answer:
3 : 5 also = 0.6
Step-by-step explanation:
Yes, you are able to simplify the ratio into a decimal.
Emily buys 14 balloons. 3 are red, 4 are white, and the rest are blue. what is the ratio of blue balloons to the total number of balloons a. 1/2 b. 2 to 1 c. 11:14
The ratio of blue balloons to the total number of balloons a. 1/2.
To find the ratio of blue balloons to the total number of balloons, firstly we need to find the number of blue balloons. Performing addition and subtraction for the same as follows -
Total number of balloons = Number of blue balloons + number of red balloons + number of white balloons
Number of blue balloons = 14 - (3 + 4)
Number of blue balloons = 14 - 7
Number of blue balloons = 7
Ratio = Number of blue balloons to the total number of balloons
Ratio = 7:14
Performing division of both digits by 7
Ratio = 1:2
Hence the ratio of blue balloons to the total number of balloons a. 1/2.
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Math Sets. Answer 1-9 Below.
Answer:
1. { 1 , 3, 4, 6, 7, 0, 5, 2 }
2. { 6 ,7 ,0 }
3. { 9 ,2 ,4 ,3 ,0 ,7 ,6 }
4. { 1 ,8 ,5 ,9 ,11 }
5. { 1 ,8 ,6 ,7 ,3 ,4 ,11 }
6.
7 . { 0 }
8. { 0 }
9. { 6 ,7 ,0 ,2 }
Step-by-step explanation:
for the 6th one I'm not sure about that , that's why i didn't write the answer for it
please make my answer as brainelist
Which statement about the points (5, 7) and (10, 12) is true? CLEAR CHECK There is not enough information to determine if the points show direct variation. They show direct variation because y = x + 2 and 10 – 5 = 12 – 7. The line they are on does not show direct variation. They show direct variation because the line they are on has a positive slope.
Step-by-step explanation:
direct variation means that
y = kx
that means it is a line with y-intercept = 0.
in other words, when x = 0, then y = 0 too.
for 2 given points the first part is automatically true. 2 points always define a line.
so, what we need to find out is, if (0, 0) is also on the line.
if not, it is not a direct variation.
the 2 points imply the equation
y = x + 2
as the y value is always larger than the x value by 2.
this has a y-intercept larger than 0 (2).
and so, (0, 0) is NOT on the line, and it is NOT a direct variation.
so, the 3rd answer option is correct.