Answer:
Guang reports a higher density of 4.5 × 10⁷ bacteria/m²
Step-by-step explanation:
Since Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter, we convert both densities into bacteria per square meter to compare their values.
So, for Guang 4500 bacteria/cm² = 4500 bacteria/cm² × 10⁴ cm²/1 m² = 4500 × 10⁴ bacteria/m² = 4.5 × 10⁷ bacteria/m²
For Orion 50 bacteria/cm² = 50 bacteria/cm² × 10⁴ cm²/1 m² = 50 × 10⁴ bacteria/m² = 5 × 10⁵ bacteria/m²
Since 4.5 × 10⁷ bacteria/m² > 5 × 10⁵ bacteria/m², Guang reports a higher density of 4.5 × 10⁷ bacteria/m²
Answer:
B.) orion reports a higher desity than guang
Step-by-step explanation:
We found that Guang's reported density is 45 bacteria/ millimeter^2, while orion's reported density is 50 bacteria/ millimeter^2.
Order the following list from least to greatest.
|-18|, -30, 35, -9.3
Answer:
Step-by-step explanation:
-30, -9.3, |-18|, 35.
Answer: -30, -9.3, |-18| (which is now just 18), and 35
Step-by-step explanation: The absolute value sign around |-18| makes the -18 an 18. For example, |-5| will become positive 5. |7| would stay positive even with the absolute value sign.
As negative numbers get bigger, they go left on the number line, making them smaller. Positive numbers go right on the number line, making then bigger.
Given f(x) = -6(4 - x), what is the value of f(-0.6)?
A)-30
B) -27.6
C) -60
D) -24.6
Step-by-step explanation:
f(x) = -6(4-x) which f(-0.6)
therefore:
we multiple -6×4= -24 and -×- =+ this implies +6×x = 6x
we add:
-24 + 6x which we already know x is = -0.6
-24 + 6 (-0.6)
-24 + 3.6
= the big number always carry the sign
the answer is = -27.6
13 POINTS! EVALUATE AND SHOW ALL WORK
Answer:
0Step-by-step explanation:
Solving in steps
3| 4.5 - 2| - 5 |-1.5 -(- 3)| =3 |2.5| -5 |-1.5 + 3| =3*2.5 - 5|1.5| =7.5 - 5*1.5 =7.5 - 7.5=0Evaluate the expression:
3(a + b - 3) - 2(2a + b - 4) when a = -1 and b = 1
Answer:
1
Step-by-step explanation:
What is the value of K? k=___
Answer:
I'm pretty sure the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
In triangle LON, <O = 90°
According to Pythagoras' Theorem
(Hyp)² = (Base)² + (Perp)²
m² = 4² + 8²
m² = 16 + 64
m² = 80
Taking square roots on both sides
√m² = √80
m = 8.94
In triangle LMN, <N = 90°
According to Pythagoras' Theorem
(Hyp)² = (Base)² + (Perp)²
(8 + k)² = l² + 4²
2/3 of 1/2
What is the answer.
Answer:
1/3 or 0.33333333333_
Step-by-step explanation:
Determine whether the following rates are equal or not using unit rates: 60 units in 3 minutes and 80 units in 4 minutes
Answer:
The rates are equal
Step-by-step explanation:
To see if the rates are equal, divide both of the units by the number of minutes:
60/3
= 20
80/4
= 20
This means both rates are equal, since we got 20 for both of them
This means the rate is 20 units per 1 minute, for both rates.
So, the rates are equal.
Answer:
They are equal
1=20
2=40
3=60
4=80
Step-by-step explanation:
What integer is equal to |-10| + |-20|
Please answer
Answer:
30
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Given
| - 10 | + | - 20 |
= 10 + 20
= 30
Answer:
|-10| + |-20| = 30
Step-by-step explanation:
Absolute Value
The absolute value of x, written |x| is a positive number that represents the distance from the origin and the number.
In practice, the absolute value is found writing the number without the negative sign, if present.
For example:
|-9| = 9
|76| = 76
|0| = 0
The given expression is
|-10| + |-20|
Calculate each absolute value separately:
|-10|=10
|-20|=20
Thus:
|-10| + |-20| = 10+20 = 30
|-10| + |-20| = 30
NEED HELP PLEASE WORTH 78 POINTS!!!
27. 1,3,5,15
28. 1,2,3,5,6,10,15,30
29. 1,2,3,6,9,18
30. 1,17
--------------------------------------
31. 30x30=900
32. 12x12x12x12= 20,736
33. 11x11x11= 1331
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9514 1404 393
Answer:
27. 15 = 1×15 = 3×5
28. 30 = 1×30 = 2×15 = 3×10 = 5×6
29. 18 = 1×18 = 2×9 = 3×6
30. 17 = 1×17
31. base: 30; power: 2; value: -900
32. base: 12; power: 4; value: 20,736
33. base: 11; power: 3; value: 1,331
Step-by-step explanation:
27-30: The factor pairs can be found by looking at the unique subsets of the set of prime factors. The product of the elements of each subset will be a divisor. The "empty" set can be considered to contain 1. When divisors are listed in numerical order, the factor pairs can be found by pairing factors from each end of the list, working toward the center. If the number is a perfect square, there will be an odd number of divisors, and the center number will be used twice
Examples:
18 = 2×3×3 (prime factorization).
Subsets of these factors are {}, {3}, {3}, {3,3}, {2}, {2,3}, {2,3}, {2,3,3}. Then the divisors are 1, 2, 3, 6, 9, 18. The factor pairs are 1×18, 2×9, 3×6.
25 = 5×5 (prime factorization).
Unique subsets are {}, {5}, {5,5}. Divisors are 1, 5, 25. Factor pairs are 1×25, 5×5.
__
The purpose of an exponent is to indicate repeated multiplication. That is, just as 2×3 means 2+2+2 (repeated addition), the use of an exponent means repeated multiplication: 2³ means 2×2×2.
This idea can be extended to give several rules of exponents--rules for multiplication, division, powers, and roots. All of these rules derive from the basic idea of repeated multiplication.
The number that is repeatedly multiplied is called the base. The exponent is called the power.
In plain text, the caret (^) symbol is used to signify an exponent. If an exponent is other than a single number or variable, it must be enclosed in parentheses, so that there is no confusion regarding what the exponent consists of. (This is an "order of operations" issue, since exponentiation must happen before any other operation.) In typeset math expressions, an exponent is rendered in superscript text.
31. -30^2 = -900 . . . base is 30, power is 2. The minus sign is not part of the base. Again, this interpretation is based on the "order of operations".
32. 12^4 = 20,736 . . . base is 12, power is 4.
33. 11^3 = 1,331 . . . base is 11, power is 3
all functions are relations but why not all relations are functions
Answer:
All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output. Here are mappings of functions. The domain is the input or the x-value, and the range is the output, or the y-value.
Answer:
Step-by-step explanation:
A relation between members of two sets X and Y is any set of ordered pairs {(x1,y1) (x2,y2) … }, finite or infinite in their number, provided the first member is from X and the second member is from Y. (Let’s not mention the uncountable possibility here).
E.g., if X = {Sunday, Monday, …, Saturday} and Y = {1,2, …, 31}, then the set {(Monday,1) (Tuesday,2) … (Monday,8) (Tuesday,9) … (Sunday,28)} is a useful relation for some February calendar, somewhere. It is “one-to-many”. And note that set Y need not be covered, but X must be. This distinguishes the domain of the relation (days of the week here) from its codomain (whole numbers 1 to 31 here).
Considering the vast set of all relations, there is one subset of great importance, those relations that have unique codomain values for each domain value. That is, each x in X is paired unambiguously with exactly one y in Y. These special relations are functions. The set of y in Y which have been paired with some x in X is called the range of f. Functions may still be “many-to-one”, as in y = r(x) which gives x rounded to the nearest integer. Thus r(2.3) = r(1.9) = 2.
Within the subset of functions are the one-to-one functions, which also have the property that every y in the range is paired with exactly one x in the domain. Because of this, these are the only functions that have an inverse function. Thus, the inverse function can be written as {(y1,x1) (y2,x2) … }. This shows that the domain and range of the original function are exactly exchanged in the inverse function.
E.g., y = tan(x) is one-to-one with domain [-pi/4 , pi/4] and range [-1,1]. Its inverse is x = arctan(y) with domain [-1,1] and range [-pi/4 , pi/4]. The roles of x and y are unambiguous, and shouldn’t be exchanged: x always in [-pi/4 , pi/4] and y always in [-1,1].
Jackie and Luke are working on a project for social studies.
They create a slide show with 250 slides. if they worked on it for 8 hours,
How many slide did they created per hour?
Answer:
31.25 slides per hour.
Step-by-step explanation:
250 slides ÷ 8 hours = 31.25 slides per hour
You're welcome!
Answer:
You are trying to find how many slides they did per hour so the answer to that would be 31.25
Step-by-step explanation:
250 ÷ 8 = 31.25
Help I need help with this question
Answer:
X = 208
Step-by-step explanation:
how much is 3375.9 missing to reach 6567.66 , in scientific notation
Answer: 3.19176 * 10^3
Step-by-step explanation:
Step 1: Subtract 3,375.9 from 6,567.66 = 3191.76
Step 2: Convert 3191.76 to scientific notation
Note: The purpose of scientific notation is to make big numbers into small numbers by moving the decimal point and then showing how many decimal places you moved by using powers of ten.
Step 3: Move the decimal 3 places to the left, and multiply by 10^3.
3.19176 * 10^3
Write and graph an inequality for the given solution set {n∣n≥−2}
Answer:
Explanation:
An inequality is used to represent unequal expressions or numbers. An inequality with the solution set [tex]n \ge -2[/tex] is: [tex]2n - 6 \ge -10[/tex]
Given that:
[tex]n \ge -2[/tex] --- the solution
To generate an inequality with the above solution, we do the following:
Subtract 3 from both sides of the inequality
[tex]n - 3 \ge -2 - 3[/tex]
[tex]n - 3 \ge -5[/tex]
Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.
We can also multiply both sides by 2
[tex]2 \times (n - 3 )\ge -5 \times 2[/tex]
[tex]2n - 6 \ge -10[/tex]
Hence, an inequality with the solution set [tex]n \ge -2[/tex] is:
[tex]2n - 6 \ge -10[/tex]
See attachment for graph
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Choose the best description for the real number 4 point 6 repeating . (4 points)
Question 2 options:
1)
Irrational, because it is a terminating decimal
2)
Irrational, because it is a repeating decimal
3)
Rational, because it is a terminating decimal
4)
Rational, because it is a repeating decimal
Answer:
4
Step-by-step explanation:
Irrational number are real numbers that do not end and cannot be written as a fraction.
4.66666...
can also be written as 4 2/3 therefore it is rational because it can be written as a fraction.
It is not a terminating decimal because it doesn't end(repeating).
what is the following sum? 4(5rootx2y)+3(5rootx2y)
Answer: Choose which answer you think fits
Step-by-step explanation:
The roots are there to confuse you. They have the exact same numbers under the radical, so you can treat it like a variable and add 4 + 3 since theyre like terms.
[tex]7(5\sqrt{x2y} ) = 35\sqrt{x2y}[/tex]
If that's an x^2, bring the x out and keep the y inside the radical to get:
[tex]35x\sqrt{y}[/tex]
If y varies directly as x and the constant variation is -2, which equation represents this relationship?
please answer by 11:59 10-5-2020
Answer:
y = -2xStep-by-step explanation:
If y varies directly with x, it is:
y = kxConstant is -2, it means k= -2
y = - 2xSolve for y 2x-5y=10
Answer:
y = 2/5x - 2
Step-by-step explanation:
Step 1: Write equation
2x - 5y = 10
Step 2: Solve for y
Subtract 2x on both sides: -5y = 10 - 2xDivide both sides by -5: y = -2 + 2/5xRewrite: y = 2/5x - 2Liz watches a movie that is 105 minutes long how long is the movie
Answer:
1 hour and 45 minutes or 105 minutes
Step-by-step explanation:
105 minutes = 60 minutes + 45 minutes = 1 hour and 45 minutes
Answer:
105 min
Step-by-step explanation:
LOL i dont know what u asked this question for but the answer is 105 min it tells u right there "Liz watches a movie that iis 105 min long" i sound so mean rn sorry if i offended u but i just think this is sort of funny
What is 1 and 3 5ths divided by 2 and one half
2 (t -3) ² - 72=0?
Math by extracting square roots
Answer:
2(t-3) ^2 = 72
(t - 3)^2 = 36
t - 3 = 6 or t - 3 =-6
t = 6+3 = 9. or t =-6 +3 = -3
t = 9 or -3
We have that
The Value of t is
t=9
From the question we are told
2 (t -3) ² - 72=0
In Answering the Question we must follow these few steps
Firstly we must make t the subject of the FormulaSecondly,We perform the necessary arithmeticFinally,The value of t will be gottenGenerally the derivation of t is mathematically given as
[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula
Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]
Therefore
The Value of t is
t=9 [Finally,The value of t will be gotten]
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Emery borrowed money from her brother to buy a new phone and is paying off a fixed amount each week. After 2 weeks, she will owe $456, and after 5 weeks, she will owe $228.
a. Write an equation in point-slope form to represent the situation.
b. What was the original amount Emery owed?
608$
c. How much is being paid each week?
76$
I only need the answer to question 1
Answer:
A. $608 B. $76
Hope this helps
Answer:
[tex]y=5w+2w=228[/tex]
Step-by-step explanation:
There are 14 girls and 21 boys in Mrs. Andrews’s gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?
Answer:
7 teams of five with 2 girls and 3 boys
What are 2 examples of proportional relationships?
Answer:
A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.
Step-by-step explanation:
hope this helped ✨
Answer:
A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.
Step-by-step explanation:
Choose the equation for the graph
Answer: a) Y= 2|x-3|+1
Step-by-step explanation:
Hope this helps
The equation that describes the graph is the one in option a:
f(x) = 2*|x - 3| + 1
Which equation represents the graph?We can see that the graph is an absolute value equation with a vertex in the point (3, 1), so the absolute value function must be of the form:
f(x) = a*|x - 3| + 1
Now, we also can see that the arms open upwards, so the slope must be positive, and we can see that for each increment in x, we have an increment of 2 units in y, so the slope is a = 2.
This means that the function is:
f(x) = 2*|x - 3| + 1
So the correct option is a.
If you want to learn more about absolute value:
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how to make something a subject
Answer:
I dont understand the question?
Step-by-step explanation: your trying to pick a subject??
What are the next three terms of the geometric sequence 32, -16, 8, …?
a.
2, 1, 1/2
c.
-8, 16, -32
b.
4, 2, 1
d.
-4, 2, -1
Answer:
B is your answeer
Step-by-step explanation:
GL hope i helped<333!!
44 Points Please help me on this
Answer:
Yes.
Step-by-step explanation:
This is because on a protractor a 180 degree angle is just a line.
SOMEONE HELP ME PLZ ASAP!!!!
A=22cm
B=21cm
C=23cm
Good luck
Consider the following Expression.
6x-9x-2=-2x-2
What is the value of x?
Answer:
The answer is X = 0