The time t = 3.4209 will it take for the concentration to reach 350,000 material per millimeter.
How do you calculate hours and minutes?In an hour, there are 60 minutes. Divide the number of minutes by 60 to convert it to hours. For instance, 120/60=2 means that 2 hours are equal to 120 minutes.
What is millimeter?The millimeter, abbreviated mm in the International System of Units (SI), or millimeter, abbreviated mm in the American spelling, is a unit of length that is one thousandth of a metre long, the SI base unit of length. As a result, a metre is made up of 1000 millimeters.
We are going to use formula
y = a * e ^ (b * t)
a and b are constants and t is for time.
Initially there are 100,000 bacteria, so;
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
given condition is that the concentration doubles every 3 hours so
300000 = a * e ^ (b * 3)
As a equals to 100,000
e ^ (b * 3) = 3
b * 3 = ln 3
b = (ln 3) / 3
b = 0.3662
now we have to find value of the time when concentration of bacteria reaches to 350,000:
350000 = 100000 * (e ^ 0.3662 * t)
3.5 = e ^ 0.3662* t
ln 3.5 = 0.3662* t
t = 1.2527 / 0.3662
t = 3.4209
That is the required value of time
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What is the major difference between the alternate hypothesis and the null hypothesis?.
While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no relationship between variables.
What is alternative hypothesis?
The alternative to your research topic is represented by the alternative hypothesis (Ha). It asserts that there is a population-wide impact.
Frequently, your study hypothesis and alternate hypothesis are the same. Alternatively said, it's the assertion that you anticipate or hope will be accurate.
What is meant by a null hypothesis?
A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.
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Concrete tiles are made using buckets of cement,sand and gravel mixed in the ratio 1:4:6
i. How many buckets of gravel are needed for 8 buckets of cement?
ii. If 10 buckets of sand are used, how many buckets of gravel will be needed?
Answer:
48 buckets of gravel
15 buckets of gravel
Step-by-step explanation:
solve for x. Express your answer as a proper or improper fraction in simplest terms,
-1/2= 4/9x+5/6
x=
Answer: x=-3
Step-by-step explanation:
Waterworks is a company that manufactures and sells paddleboards. Its profit P, in hundreds of dollars earned, is a function of the number of paddleboards sold x, measured in thousands. Profit is modeled by the function [tex]p(x)=-3x^{3}+45x^{2} -132x[/tex]. What do the zeros of the function tell you about the number of paddleboards that Waterworks should produce?
In order to make a profit, Waterworks must produce more than ___ and fewer than ____ paddleboards.
Waterworks must produce more than 4 and fewer than 11 paddleboards.
What do you mean by polynomial?
A polynomial is defined as an expression consisting of variables, constants, and exponents combined by mathematical operations such as addition, subtraction, multiplication, and division (not division by a variable). Based on the number of terms in the expression, it is classified as monomial, binomial, and trinomial.
It is given that Waterworks is a company that manufactures and sells paddleboards. Its profit P, in hundreds of dollars earned, is a function of the number of paddleboards sold x, measured in thousands. Profit is modeled by the function
[tex]p(x) = -3x^{3}+45x^{2} -132x[/tex]
zeroes of the p(x) will show the quantity at which profit = 0 i.e. breakeven
Let p(x) = 0
[tex]-3x^{3} +45x^{2} -132x =0[/tex]
-3x ([tex]x^{2} -15x+44[/tex]) = 0
-3x ([tex]x^{2} -11x-4x+44[/tex] ) = 0
-3x (x(x-11) - 4(x-11)) = 0
-3x (x-11) (x-4) = 0
-3x = 0 or x-11 = 0 or x-4=0
x = 0,11,4
So,profit is obtained when 4<x<11.
Therefore, Waterworks must produce more than 4 and fewer than 11 paddleboards.
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Currently my bank balance is R2 000. What will the new balance be if I withdraw R600 from the account in each of the next 3 months?
Answer:
R200
Step-by-step explanation:
R200
Please check your answer cause this is my last question
The interest rate would be 13%.
What is the simple interest?
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of Rs. 5000, at a rate of 10 p.a. for two years, the person's interest for two years will be S.I. on the borrowed money.
To find the interest rate, we can use the formula for simple interest:
I = Prt
where I is the amount of interest earned, P is the principal (the initial amount of money deposited), r is the interest rate, and t is the time in years.
In this case, we know that I = $3,900, P = $10,000, and t = 3 years. We can use this information to solve for r:
I = Prt
$3,900 = $10,000r3
r = $3,900/($10,000*3)
r = 0.13 or 13%
Hence, the interest rate is 13%.
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Suppose that a quiz consists of 20 true-false questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with true and false equally likely). How would you find the probability that the student will get 8 or fewer answers correct?.
The required probability that the student will get 8 or fewer answers is 0.2475.
What is binomial distribution for probability?Binomial distribution is a typical probability dissemination that models the likelihood of getting one of two results under a given number of boundaries. It sums up the quantity of preliminaries whenever every preliminary has a similar possibility accomplishing one explicit result.
According to question:By using binomial distribution for calculating the probability of getting 8 or less than 8 correct answer in the quiz.
Formula ; ⁿCₓ × pˣ × qⁿ⁻ˣ
We have, n = 20 p = 0.5, q = 1 - p = 1 - 0.5 = 0.5
Then,
P(x=0)=20C0*0.5^0*0.5^20=1/1048576
P(x=1)=20C1*0.5^1*0.5^19=5/262144
P(x=2)=20C2*0.5^2*0.5^18=95/524288
P(x=3)=20C3*0.5^3*0.5^17=285/262144
P(x=4)=20C4*0.5^4*0.5^16=4.621*10^-3
P(x=5)=20C5*0.5^5*0.5^15=969/65536
P(x=6)=20C6*0.5^6*0.5^14=0.03696
P(x=7)=20C7*0.5^7*0.5^13=4845/65536
P(x=8)=20C8*0.5^8*0.5^12=0.1201
Then, p(x≤8) = P(x=0)+.......+P(x=8) = 0.2475
Thus, required probability of answers ia 0.2475.
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s 1}} 10of 0.9. E Juliet is incorrect because 90 is 1}} 10of 9.
For the given operation Julia is incorrect because the product of 10 and 0.9 will be 9.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that the expression is,10of 0.9, and its simplification is obtained as 90.
We have to find out why Juliet is incorrect.
Juliet is incorrect because when any decimal value is multiplied by 10 the obtained value is increased by its one's place,
=10 × 0.9
=9
Thus, for the given operation Julia is incorrect because the product of 10 and 0.9 will be 9.
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Pls plss help me on this !!
Answer:
C) is 20
Step-by-step explanation:
3 inches x 5= 15
so we do the same with 4 minutes
4 minutes x 5= 20
The length (L) of a rectangle of fixed area varies inversely as the width (W). If the
length of the rectangle is 6 feet when the width is 12 feet, find the length of the
rectangle when the width is 4 feet.
Answer:
Length of the rectangle is 18 ft when its width is 4ft
Step-by-step explanation:
Let us assume that the length is represented by l.
Let us assume that the width is represented by w.
As given
The length of the rectangle varies inversely with its width.
Thus
L x 1/w
l=k/w
Where k is the constant of proportionality .
As given
If the
length of the rectangle is 6 feet when the width is 12 feet,
l=6, w=12
putting the values in l = k/w
6 = k/12
k = 12 x 6
k=72
As given
width is 4ft
k= 72, w = 4
Putting the values in, L = k/w
L= 72/4
L=18 ft
Therefore the length of the rectangle is 18 ft when its width is 4ft
Hope this helps You
A standard television screen has a 4:3 aspect ratio between the width and the height of the viewable screen. What would be the height of Television that is 16 inches wide?
The standard height of the television is 12 inches.
What are ratios?
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other.
The given ratio is 4:3. Let us take a variable 'x' such that 4x=16 and 3x=height.
We find x from 4x=16
x=4
Now putting the value of x in 3x, we get 12 inches.
Therefore, the height of the television is 12 inches.
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The standard height of the television is 12 inches.
The aspect ratio of a screen is the ratio of the width to the height. In the case of a television screen with a 4:3 aspect ratio, the width is 4 units and the height is 3 units.
If we let "h" represent the height of the television screen, we can set up the following equation:
4:3 = 16:h
To solve for "h", we can cross-multiply to get:
4h = 48
Dividing both sides by 4, we get:
h = 12
So the height of a television screen that is 16 inches wide and has a 4:3 aspect ratio is 12 inches.
what is aspect ratio?
The aspect ratio of a screen is the ratio of the width to the height of the viewable area of the screen. It is usually expressed as two numbers separated by a colon, such as 16:9 or 4:3.
Aspect ratios are used in a variety of applications, including television screens, computer monitors, and movie theaters. Different aspect ratios are used for different types of content, and some screens can be adjusted to display content in different aspect ratios.
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Write whether each is an example of commutative, associative, or distributive properties.
15. commulative
16. distributive, distributing the 3 to the 'a' and 'b' within the parentheses.
17. distributive, distributing the w to the variables inside of the parentheses.
If an antelope eats 7kg of vegetation in 2 days how many killograms of vegetation does it eat per day
Antelope eats 3.5kg of vegetation per day .
What are fractions?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given :
antelope eats 7kg of vegetation in 2 days
Thus , vegetation eated per day = 7 / 2 = 3.5 kg
Hence , antelope eats 3.5kg of vegetation per day .
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If Harry travel 4 and 6/8 of a mile in 5 hour on hi broomtick. How far will he travel in 1 hour? Group of anwer choice 20/19 of a mile 24/40 of a mile 19/20 of a mile 20 and 4/8 of a mile
In linear equation, 1/5 min far will he travel in 1 hour .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6/8 = 3/4
1/5 min/hr * 1 hr = 1/5 min
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Hello please perform indicated operation with steps please
Answer:
x^3-2x^2+6x+1
Step-by-step explanation:
x^3+2x-1-2x^2-4x+2
collect like terms
x^3-2x^2+2x+4x-1+2
x^3-2x^2+6x+1
PLEASE HELP The definition states that a glide reflection is the composition of a translation and a reflection. Explain why these can occur in either order. (1 pt)
In particular, despite the language overlap, a glide reflection is not a reflection and a (ordinary) reflection is not a glide reflection.
There are many intriguing accounts of what occurs when you mix two of them together. Here are a few instances:
Each isometry may be classified as belonging to one of the five classes listed below.
a consideration,an interpretationthe rotationa reflection of a glide,The map of identity.The identity is the combination of two reflections along the same line.
Translation is the combination of two reflections in dissimilar but related directions. Rotation is the result of two reflections in non-parallel lines.
A gliding reflection is made up of a reflection over a line plus a translation along a non-perpendicular line (and not a reflection).
A reflection is made up of a translation along a perpendicular line and a reflection across a line (and not a glide reflection).
There are fascinating things to say about what occurs when you combine two isometries dependent on the types of the isometries that you combine, but it does not change the fact that the five types are all distinct from one another. I could go on, but I think you get the point now.
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Rewrite 177+ 563 = 740 using the Commutative Law of Addition.
O(177 +563) = 740
563 +177 740
740 563 = 177
563 = 177 + 740
Answer: The Commutative Law of Addition states that the order in which numbers are added does not affect the result. This means that for any two numbers a and b, we have a + b = b + a.
We can use the Commutative Law of Addition to rewrite the equation 177 + 563 = 740 as follows:
177 + 563 = 740
563 + 177 = 740
Both of these equations are equivalent to the original equation, because they represent the same mathematical statement.
Note that in the first equation, we simply reordered the terms of the original equation. In the second equation, we added the numbers in a different order, but the result is still the same.
The other equations you provided are not equivalent to the original equation and do not use the Commutative Law of Addition.
what is the equation in slope intersept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y=2/5x +2
The line that goes through the point (2,-2) and is perpendicular to the line shown by y=2/5x +2 will have the slope intercept equation 5x+3y=6.
What is equation of line?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
Here,
Slope of the line given=2/5
Slope of the line perpendicular=-5/2
coordinates=(2,-2)
y=mx+b
-2=-5/2*2+b
b=3
y=-5/2x+3
3y=-5x+6
5x+3y=6
The equation in slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y=2/5x +2 will be 5x+3y=6.
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Ninth grade math and I need help.
Answer:
Step-by-step explanation: By using the verticle line test, because the line has passed more than one point, it is NOT A FUNCTION.
A taxi ride costs $4, plus an additional $3 per mile. Graph the line relating taxi ride costs to distance (in miles).
The required equation of line in slope intercept form is
y = 3x + 4
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Let the taxi is driven x miles and the total cost is $y
A taxi ride costs $4, plus an additional $3 per mile
Total cost = 4 + 3x
By the problem,
y = 4 + 3x
This is the required equation of line which represents the above situation.
The graph has been attached here.
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HELP ME ASAP!!!!!!!!!!!!!!!!!!!
Answer:
Statement 2 is a lie
Step-by-step explanation:
Statement 1 = TRUE
[tex]13^{2} * 13^{x} = 13^{6} \\13^{2+x} =13^{6}\\2 + x = 6\\x = 6 - 2\\x = 4[/tex]
x = 4 is True
Statement 3 = TRUE
[tex]5^{y} * 5^{6} =5^{12} \\5^{y+6} = 5^{12} \\y+6 = 12\\y=12 -6\\y =6[/tex]
y = 6 is True
Statement 2 = LIE
[tex]m^{y} *m^{z} = m^{x} \\m^{6} *m^{z} = m^{4}\\m^{6+z} = m^{4}\\6 + z = 4\\z= 4-6\\z= -2[/tex]
z = -2 is Lie
Find the area of $\triangle ABC$ with vertices $A\left(2,\ -2\right)$ , $B\left(4,\ -2\right)$ , and $C\left(6,\ -11\right)$ .
The area of $\triangle ABC$ is
square units.
The area of the triangle from the vertices is 27 square units
How to determine the area of the triangle?From the question, we have the following parameters that can be used in our computation:
$A\left(2,\ -2\right)$ , $B\left(4,\ -2\right)$ , and $C\left(6,\ -11\right)$ .
Represent the vertices properly
So, we have
A = (2, -2)
B = (4, -2)
C = (6, -11)
The area of the triangle is calculated using
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
Substitute the known values in the above equation, so, we have the following representation
Area = 0.5 * |2 * (-2 + 11) + 4 * (-2 + 11) + 6 * (-2 + 2)|
Evaluate the sum of products
Area = 0.5 * |54|
Remove the absolute bracket
Area = 0.5 * 54
Evaluate
Area = 27
Hence, the area of ABC with vertices is 27 square units
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a graphic is printed on a circular banner that has a diameter of 4 feet. the same graphic undergoes a dilation with a scale factor of 1/6 to be printed on circular stickers. the diameter of the dilated graphic is _[blank]_ inches.
The required diameter of the dilated graphic is 8 inches.
Explain scale factor.
Scale factor is the ratio of comparing sides on two comparative figures. In math, scale factor is utilized to decide how often bigger or more modest one item or figure is to another.
According to question:We have,
diameter of circular banner = 4 feet
scale factor = 1/6
Then, the diameter of circular sticker = 4(1/6) = 4/6 feet.
In inches, we know
1 foot = 12 inches
4/6 feet = 12(4/6) = 8 inches
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Simplify 2/3(6x-1/9)-x+3/6
Answer:
Step-by-step explanation:
3x+23/54
Write the expression that completes the equation to represent the
result of transforming y = |x| with the steps listed below.
1: Shift the function 5 units to the left.
2: Shift the function 4 units down.
y = | x + 5 | - 4
You subtract 4 outside the abs val to move the graph down.
You add 5 inside the abs val to move the graph left. (Inside translations are the opposite of what you'd expect.)
(b) if the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?
By probability ,181753 are ways are there to distribute the coupons so that at least one woman receives a coupon.
What does the math term "probability" mean?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics describes the examination of events subject to probability.
Number of ways such that the coupons are distributed such that at least one woman receives a coupon is computed as:
= Total number of ways to select 10 people from the 20 people - Total number of ways to select 10 men from the 15 men
= ( 20 10 ) - ( 15 10 ) = 184756 - 3003
= 181753
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The complete question is -
10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men.
(a) If the coupons are identical, how many ways are there to distribute the coupons so that at least one woman receives a coupon?
By probability ,181753 are ways are there to distribute the coupons so that at least one woman receives a coupon.
What does the math term "probability" mean?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics describes the examination of events subject to probability.
Number of ways such that the coupons are distributed such that at least one woman receives a coupon is computed as:
= Total number of ways to select 10 people from the 20 people - Total number of ways to select 10 men from the 15 men
= ( 20 10 ) - ( 15 10 ) = 184756 - 3003
= 181753
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THE DIFFERENCE OF TWO NUMBERS IS 10 IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)
Answer:
22
Step-by-step explanation:
we can set this up and make the unknown number X
32-x=10
Subtract 32 from both sides
32-x=10
-32. -32
-x= -22
Divide both sides by -1
-x=-22
/-1. /-1
x=22
Hopes this helps
An step by step explanation of all of them would be great .
Btw I did 1 to 5 and they all worked
Solution of x is 1± 5√2 for the given quadratic equation.
What is quadratic equation?
Quadratics are often outlined as a polynomial equation of a second degree, which means that it contains a minimum of 1 term that's square. it's conjointly known as quadratic equations.
Main body;
11)
x² = 2x +48
The given is an quadratic equation:
solution of this can be found out using quadratic formula:
x =(-b ±[tex]\sqrt{b^{2} -4ac}[/tex])/2a
for this ,
x² -2x -48 = 0
a = 1
b= -2
c = -48
x =( 2±√ (4- 4*1*-48))/2
x = (2±√200)/2
x = 1± 5√2
Hence solution of x is 1± 5√2.
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831 is divisible by 3.
Answer:
yes
Step-by-step explanation:
The answer to your question is yes. We have calculated all the numbers that 831 is evenly divisible by. The numbers that 831 is divisible by are 1, 3, 277, and 831.
A line is drawn to model the relation ship between the number of weeks and the change in price. Is the slope of this line positive or negative? Explain.
If the slope is negative, the function is downward-sloping because y falls off as x rises. If the slope is zero, y remains constant—a horizontal line—and does not vary.
What is slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all
Any two different points on a line can be used to calculate the slope of any line.
A line's slope is determine by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-
P1 = (x1, y1) and P2 = (x2, y2)
Hence, If the slope is negative, the function is downward-sloping because y falls off as x rises. If the slope is zero, y remains constant—a horizontal line—and does not vary.
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