The average mass of a certain type of microorganism is 2.4x10^-6 grams. What is the approximate total mass, in grams, of 5x10^3 of these microorganisms?
a. 1.2X10^-4
b. 1.2X10^-3
c. 1.2X10^-2
d. 1.2X10^-1
The total mass of 5 x 10³ microorganisms is 1.2 x [tex]10^{-2}[/tex].
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Mass of an organism = 2.4 x [tex]10^{-6}[/tex] grams
The total mass of 5 x 10³ microorganism.
= 5 x 10³ x 2.4 x [tex]10^{-6}[/tex]
= 12.0 x [tex]10^{3 - 6}[/tex]
= 12 x [tex]10^{-3}[/tex]
= 1.2 x [tex]10^{-2}[/tex]
Thus,
The total mass is 1.2 x [tex]10^{-2}[/tex]
Learn more about expressions here:p
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Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?
Answer:
21m/s
Step-by-step explanation:
The average rate of change is expressed as;
A(t) = f(b) - f(a)/b-a
a = 2, b = 6
f(2) = 2² + 13(2)
f(2) = 4 + 26
f(2) = 30
f(6) = 6² + 13(6)
f(6) = 36 + 78
f(6)= 114
b- a = 6-2
b-a = 4
Substitute;
A(t) = 114 - 30/4
A(t) = 84/4
A(t) = 21
Hence the average rateof change is 21m/s
The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.
Answer:
B 18.79
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The number of pages read by two students each day for 5 days are listed in the table.
Pages Read
Student
Number of Pages in Each Book
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
Which statements are true regarding the two data sets? Check all that apply.
The means for both data sets are equal.
The means for the data sets are not equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.
The range of the number of pages that Aaron read is 50.
Answer:
Means for both are equal
Range for Lionel is greater than for Aaron
Range for Lionel is 75
Step-by-step explanation:
Answer:
person above is right
Step-by-step explanation:
In how many different
ways can 5 bicycles be
parked if there are 7
available parking
spaces?
pls pasagot
what is the area of triangle EDF?
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
find the range of the data 52 40 49 48 62 54 44 58 and 39 range is what
Answer:
Hi! The answer to your question is the range is 23
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23
VOCAB:
Minumum Data = Smallest Number
Maximum Data = Largest Number
Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.
In statistics, the difference between the largest number and the smallest numbers in a data set.
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
please help me pleaseeee
Answer:
B) 29%
Step-by-step explanation:
7/24=0.290.29× 100%= 29%༻✦༺ ༻✧༺༻✦༺
hope it helps...
have a great day!!
-8k-3-2k+7 need help asap
Answer:
-8k-3-2k+7
-10k+4
how to simplify?
(look for like terms)
Will mark brainliest!!
Identify the solid from its net
triangular prism
rectangular prism
triangular pyramid
rectangular prism
Answer:
triangular pyramid
Step-by-step explanation:
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
Which graph shows the line y = 4x - 2?
Answer:
Hi, there the answer is Graph A because the y-intercept and I did rise over run
Step-by-step explanation:
Hope this helps :)
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Building A is 490 feet tall and Building B is 754 feet tall. If the angle of depression from the top of Building B to the top of Building A is 46°, how far apart are the buildings?
Answer: [tex]254.94\ ft[/tex]
Step-by-step explanation:
Given
Building A is 490 feet tall and building B is 754 ft tall.
If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]
Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]
If the difference between them is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]
Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.
To solve this system of equations by elimination you should begin by... x+y=10 2x-3y=6 A) adding the two equations together. B) multiplying the first equation by 2, then add them together. C)multiplying the first equation by 3, then add them together. D) subtracting the first equation from the second equation
Answer:
C. Multiply 1st equation by 3, then add together
Step-by-step explanation:
X+y=10
3(x+y)=3(10)multiply by 3
3x+3y=30 add to following equation
2x-3y=6
5x=36
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
So, His miles per hour is 3 miles.
Answer:Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
Hope this helps
a shipement of 14 microwave ovens contains six defective units A vending company has ordered 4 of these units and selection will be random, what is the probability that all 4 units are good
Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
PLease help me will give branliest! desperate! Find the two missing sides and write your answer as in simplified radical form. image attached.
Answer:
y=3
x=6
Step-by-step explanation:
We can see from the image below that a= 3
which means that the legnht of y is 3
and the lenght of x is 3*2 or 6
A restaurant offers four different appetizers, nine different entrees, and three different desserts
How
many different meals can you order of one appetizer, one entrée, and one dessert?
Step-by-step explanation:
with multiplying rules, we get
4 × 9 × 3 = 108 different meals
A bottle of juice is divided between 3 friends. Jason gets 1 third of the juice, Joseph gets 1 fourth of the bottle and Siswe gets a 5 over 12 ( 5 is the numerator and 12 is the denominator). By comparing the fractions, calculate who will get the most juice
Answer:
Siswe
Step-by-step explanation:
[tex]\frac{1}{3} = \frac{4}{12}\\\\\frac{1}{4} = \frac{3}{12}\\\\\frac{5}{12} =\frac{5}{12}[/tex]
Answer:
siswe gets more juice
Step-by-step explanation:
i hope this helps
You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?
Answer:
3 * (½*2*5) = x
Step-by-step explanation:
Cost of carpeting = $3 per square foot
We have a triangular section to cover having the following dimensions:
base = 2 yd
height = 5 yd
First, let's find the area of the section = area of triangle
Area of triangle = ½*base*height
Area of the triangular section of the floor = ½*2*5
If $3 will cover 1 ft², therefore,
x will cover ½*2*5
Thus:
3 * (½*2*5) = x
Help!! Thank you so much
Answer:
336 cm²
Step-by-step explanation:
rectangle area:
b×h = 24×7,5=180 cm²
" " = 6,5×24=156 cm²
total area: 180+156=336 cm²
PLS HELPPP TYYYY LOL
Answer:
84 cm²
Step-by-step explanation:
3 x 4 x 0.5 = 6
3 x 4 x 0.5 = 6
3x 6 = 18
5 x 6 = 30
4 x 6 = 24
add up = 84
The equation of a parabola is y=x2–8x+14. Write the equation in vertex form.
Answer:
Step-by-step explanation:
y=x^2-8x+14
To write in vertex form, group the two x-terms to make a complete square, adjust the constant term accordingly
y = x^2-8x+16 -2
factor the first three terms on the right hand side
y = (x-4)^2 -2
This means that the vertex is at x-4 = 0, or x=4, and y=2.
i want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.
Example, the degree of 4x^8 is 8.
So the degree of 5x^4 is 4.
The degree of 3x^2 is 2.
The degree of 1 is 0 since there is no variable in this expression.
So the degree of 5 x^4 + 3 x^2 + 1 is 4.
Josh currently bench presses 150 lbs. He increases that amount by 20% . How much can he bench press now? *
Answer:
180
Step-by-step explanation:
100%-> 150
1%->1.5
120%-> 180
PLEASE HELP IM BEGGING U
Answer:
c
Step-by-step explanation:
Which statement about rectangles and rhombuses is always true?
Answer:
B
Step-by-step explanation:
B...............................
mark me the brainliest plzzzzzzzz
The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.
What is a quadrilateral?A quadrilateral is a closed, two-dimensional shape which has four straight sides.
In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
Quadrilateral has four sides.
Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.
learn more on quadrilateral here: https://brainly.com/question/10388790
The point A(-6, 8) is reflected over the point (-7, 6) and its image is point B. What are the coordinates of point B?
Answer: The answer is (-8, 4)
Step-by-step explanation:
How would someone Algebraically determine X-Y intercepts?
Answer:
y-int: -6
x-int: -2/5 and 3
Step-by-step explanation:
you can find the y-intercept by substituting zero in for every 'x' in the equation;
y = 5(0) - 13(0) - 6
y = -6
to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:
(5x + 2)(x - 3)
now set each factor equal to zero and solve for 'x':
5x + 2 = 0
5x = -2
x = -2/5
x - 3 = 0
x = 3