A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of 10 Superscript negative 6 meters. The virus has a diameter of 10 Superscript negative 7 meters. Which statement accurately compares the sizes of the specimens? The diameter of the bacterium is 10 times greater than that of the virus. The diameter of the bacterium is StartFraction 1 Over 100 EndFraction times as great as that of the virus. The diameter of the virus is 10 times greater than that of the bacterium. The diameter of the virus is StartFraction 1 Over 100 EndFraction times as great as that of the bacterium.
Answer: A
Step-by-step explanation:
The diameter of the bacterium is 10 times greater than that of the virus.
The statement that accurately and precisely compares the sizes of the specimens can be seen in the first option.
What is a Superscript?A Superscript is used for the representation of a power at which a number is being raised to. In essence, if we have [tex]a^n[/tex];
a is the base number n is the superscriptFrom the given information;
The diameter of the bacterium = [tex]\mathbf{10^{-6}}[/tex]The diameter of the virus = [tex]\mathbf{10^{-7}}[/tex]We should note that as the exponent increase by -1, it takes an addition [tex] \mathbf{\dfrac{1}{10}=10^{-1}} [/tex]
Therefore, we can say that the diameter of the bacterium is 10 times greater than that of the virus.
Learn more about superscript here:
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What is the distance between (-1, 4) and (5, 4)?
Draw a line connecting the points. This is a
line.
The points have the same
To find the distance, use the expression
The distance between the points is
units.
Answer:
1)Horizontal
2)y-coordinates
3)|-1|+|5|
4)6 units
Step-by-step explanation:
Hope this helps :)
The distance between (-1, 4) and (5, 4) is 6 units.
The given Coordinate points are (-1, 4) and (5, 4).
The points are considered as (x1,y1) and (x2,y2).
Here,
x1 = -1 and x2 = 5
y1 = 4 and y2 = 4
Now
[tex]Distance = \sqrt{(x2 - x1)^2 - (y2- y1)^2\\\\= \sqrt{(5 +1)^2 - (4 - 4)^2} }\\\\= \sqrt{36}[/tex]
= 6
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(4.53−d)· 14/27 =− 7/9
Answer: d= negative 3.03
Step-by-step explanation:
Kai used a protractor to measure the angle below. Is Kai using the protractor correctly? Explain your answer. If Kai is
using it incorrectly, explain to him how to use it correctly.
Answer:
he is using it correctly
Step-by-step explanation:
he is using it correctly because the bottom line of the angle matches with the 0° line on the protractor.
Hi!
Got a question!
Rectangular container holds 70 litres of water when full. Its height is 70 cm.What is its base area?
Thanks!!
And please explain!
Answer:
1000cm^3
Step-by-step explanation:
capacity=base area times height, convert litres to cm^3,1000cm^3=1l,equate Base area=capacity/height (70000/70)=1000
One ring in the Stonehenge monument was originally made of 30 stones, each about 6 1/2 feet wide, 3 feet thick, and 13 feet tall. What is the approximate volume of the 17 stones that
remain today?
Answer: V ≈ 4309.5 ft³
Step-by-step explanation: To get the answer to this word problem all we have to do is multiply height * thickness * width.
First, let's turn 6 [tex]\frac{1}{2}[/tex] into a decimal...
1 ÷ 2 = 0.5
6 [tex]\frac{1}{2}[/tex] = 6.5
6.5 * 3 * 13 = 253.5
Now, we have to multiply it by the remaining amount of stones...
253.5 * 17 = 4309.5
V ≈ 4309.5
I hope this helps!
Could somebody help me on this please if you’re good at geometry
Answer:
which one is the one u need help on
∠A and \angle B∠B are complementary angles. If m\angle A=(x+9)^{\circ}∠A=(x+9)
∘
and m\angle B=(7x-15)^{\circ}∠B=(7x−15)
∘
, then find the measure of \angle B∠B.
Answer:
To find the complement of an angle x, subtract x's measurement from 90 degrees: 90 degrees - x degrees = the measure of x's complementary angle. To find the supplement of an angle y, subtract y's measurement from 180 degrees: 180 degrees - y degrees = the measure of y's supplementary angle.
Step-by-step explanation:
Which expression gives the volume of a sphere with radius 5?
O A. 7(52)
B. 47(52)
C. 4t(53)
O D. (59)
SIIAMIT
Answer:
D
Step-by-step explanation:
r = 5 units
[tex]Volume=\frac{4}{3}\pi r^{3}\\\\ =\frac{4}{3}\pi (5)^{3}\\[/tex]
Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line segment CB?
A) (0, 3/2)
B) (1, 0)
C) (3/2,0)
D) (2, 1)
Answer:
im pretty sure its C (2/3, 0) actually
Given f(g(x)) = 15x+1 and f(x) = 5x+1. What is g(x)?
Please answer quickly!!
Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))".
help me please cause i dont understand i really need this question right know ill give you 20 points if you help me
15x<30
Step-by-step explanation:
Basically 15x<30 is saying that 15x is less that 30. So that means x can be any number as long as when multiplied to 15 it has to be less then 30. So they only number available is 1. So 15(1)<30. Im not sure what the question is but X=1
Answer:
x < 2 or (-∞,2)
Step-by-step explanation:
Treat the inequality sign like an = sign at this point. Don't make it more complicated than it really is. So, to figure it out, you first need to divide each side by 15 so you can get x all by itself:
[tex]\frac{15x}{15} < \frac{30}{15}[/tex]
Now we have:
x < [tex]\frac{30}{15}[/tex]
We know (using simple math) that 30 divided by 15 is 2, which gives us:
x < 2.
In interval notation, this would be (-∞,2). [Remember that the parentheses show that the interval does NOT include the specified numbers, which is what < denotes in our equation.] Hope this helped!
Write an expression equivalent to 8-3
Step-by-step explanation:
8 - 3 = 5
you can write any two numbers that also equal to 5.
6-1 = 5
200 - 195 = 5
4 - (-1) = 5
9000 - 8995 = 5
A.) 4.7 feet
B.) 6.5 feet
C.) 30.7 feet
D.) 5.5 feet
E.) 22.3 feet
The roller coaster cars are designed as shown, with a yellow racing stripe along the diagonal of the parallelogram face. Determine the length of the racing stripe.
Answer:
B
Step-by-step explanation:
6.5ft I'm sure that's the answer
please give me a hand
Answer:
2
Step-by-step explanation:
7x - 2x = 13 - 3
5x = 10
x = 2
Answer:
Start by subtracting 2x from both sides
5x + 3 = 13
then subrtact 3 from both sides
5x = 10
divide both sides by 5 and you get
x=2
Which equation represents the statement "One-fourth more than a number is equal to two-thirds?"
Answer: 1/4 + x = 2/3
Step-by-step explanation:
One fourth is written as 1/4, more than is an addition sign, a number means “x”, is equal means = (equal sign), and two thirds is written as 2/3
Answer:
[tex]x + \frac{1}{4} = \frac{2}{3}[/tex]
Step-by-step explanation:
The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:
Let the number be x.
Therefore, One-fourth more than a number = [tex]x + \frac{1}{4}[/tex]
Now,
[tex]\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}[/tex]
This is the required answer.
Explain the students mistake
Find f(-2) for f(x) = 2(4)”.
O A.
100
B. -16
1
O c.
16
O D. -32
Answer:
Its A
Step-by-step explanation:
1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum?
Answer:
Hi there!
The correct answer is: (0,1) maximum
Step-by-step explanation:
vertex: the point where the parabola crosses its axis of symmetry.
when the graph is concave down, maximum
when the graph is concave up, minimum
Answer:
Coordinates of the vertex: (0, 1), and it is a maximum.
this corresponds to the second of the listed answer options.
Step-by-step explanation:
Notice that the vertex of the parabola is at the very top of the curve, and corresponds to the maximum value that the coordinate "y" can reach for the parabola (y = 1)
The position of that vertex is exactly at the point where x = 0 and y = 1, so this can be written as:
(0, 1)
The scatter plot below shows the relationship between the outside temperature and the number of cups of hot chocolate sold at an event. Which statement describes the data?
A. There is no association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
B. There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold
C. There is a positive linear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
D. There is a negative linear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
Answer:
B
Step-by-step explanation:
The statement describes the data is " There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold". Option B is correct.
What is a scatter plot?Generally, a scatter plot is simply defined as a collection of dots drawn on two axes, horizontal and vertical.
In conclusion, observing a scatter plot of the relationship between the outside temperature and the number of cups of hot chocolate sold at an event, we see There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.
Read more about Temperature
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MATH will give brainliest
Answer:
4th choice
Step-by-step explanation:
Volume of cylinder: 2(pi)r^2+2pi(r)h
Answer:
The last one
Step-by-step explanation:
SA
=
2
π
r
h
+
2
π
r
2
Line Segment AB has a slope of 1/3 and line segment CD has a slope of 1/3. This proves that
1. Line segment AB is congruent to line segment CD
2. Line segment AB bisects line segment CD
3. Line segment AB is parallel to line segment CD
4. Line segment AB is perpendicular to line segment CD
Answer:
3
Step-by-step explanation:
Parallel lines have equal slopes, thus
line AB is parallel to line CD
Justin Bieber has a dinner that costs $50.00. He wants to leave a 10% tip. How much is the tip?
Answer:
$5
Step-by-step explanation:
0.1*50=5
Answer:
$5
Step-by-step explanation:
50 x 0.1 = 5
Please help me with the answer I need help
Answer:
+30 +-25
Savings is positive
Buying is negative
Step-by-step explanation:
+30 saved
-25 to buy
+30 +-25
Savings is positive
Buying is negative
Helen is choosing a main course and a dessert in a restaurant.
There are 6 main courses and 8 desserts to choose from.
Work out the number of combinations available to Helen.
Answer:48
Step-by-step explanation:
6*8 shows the c9nbonations of just then 2 together
What is the following product?
(x1/7-3-6)(<1/7-3/8
Answer:
i think its 4.3555556
(not 100% sure)
Step-by-step explanation:
What is an easy way to remember what a box plot it
Answer:
A box and whisker map is a diagram that shows details from a five-part description. It is also called a boxplot. There was an mistake. This form of diagram demonstrates the structure, core importance and volatility of the distribution.
Step-by-step explanation:
Hope this helps
Answer the questions attached:
1. I'm not completely sure, but these angles seem to be complementary, meaning they add up to 90°. Since 75° + x = 90°, x = 15°.
2. These lines seem to be parallel. ∠4 ≅ ∠1 because they are vertical angles, ∠5 ≅ ∠1 because they are corresponding angles, and because ∠8 ≅ ∠4 (corresponding angles), ∠8 ≅ ∠1 as well. The final answer is ∠4, ∠5, and ∠8. Hope this helps!
Look at the attached picture
Hope it will be helpful to you....
Good luck on your assignment
~pragya
40 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Answer:
number of boys who walk to school = 16
Step-by-step explanation:
Chart:
Sudents | Walk | Ride | Total
Girls | 22 | 29 | 51
Boys | x | 9 | 25
Total | x+22 | 38 | 76
Which is the equation in slope-intercept form for the line that passes through (3, 7)
and is perpendicular to 3x - 5y = 8?
Answer:
[tex]y = - \frac{5}{3} x + 12[/tex]
Step-by-step explanation:
First, rewrite the given equation in the form of y=mx+c.
m is the gradient while c is the y-intercept.
3x-5y=8
5y= 3x -8
[tex]y = \frac{3}{5} x - \frac{8}{5} [/tex]
Thus, the gradient of the given equation is ⅗.
The product of the gradients of perpendicular lines is -1.
(gradient of line)(⅗) = -1
gradient of line= -1 ÷⅗
gradient of line= [tex] - \frac{5}{3} [/tex]
[tex]y = - \frac{5}{3} x + c[/tex]
To find the value of c, substitute a coordinate.
When x=3, y=7,
[tex]7 = - \frac{5}{3} (3) + c[/tex]
7= -5 +c
c= 7+5
c= 12
Hence, the equation of the line is [tex]y = - \frac{5}{3} x + 12[/tex].