a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answer:
14 × 10^(-19) m
Step-by-step explanation:
We are told that the diameter of the red blood cell is 7 × 10^(-6) m
And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells
Since they are held end to end, the length of the line would be;
7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m
The probability that Dan buys a sandwich is 0.2. The probability that Dan gets the bus is 0.8. Assuming the events are independent, what is the probability that Dan buys a sandwich and gets the bus?
The probability that Dan buys a sandwich and gets the bus will be 0.16.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.8.
Assuming the events are independent.
Then the probability that Dan buys a sandwich and gets the bus will be
P = 0.2 × 0.8
P = 0.16
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What is the first step to solve the equation 5x-6=44?
Answer:
Muliply 5 x6 then minus
Step-by-step explanation:
Hannah invested $600 for 8 years at a rate of 3% per year simple interest.Calculate the interest Hannah receives.
Given:
Principal = $600
Rate of simple interest = 3% per year
Time = 8 years
To find:
The simple interest.
Solution:
Formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest in percent and t is the number of years.
Substituting [tex]P=600,\ r=3,\ t=8[/tex] in the above formula, we get
[tex]I=\dfrac{600\times 3\times 8}{100}[/tex]
[tex]I=6\times 3\times 8[/tex]
[tex]I=144[/tex]
Therefore, the simple interest is $144.
A truck driver traveled 120 miles in 2.5 hours. How many miles can he
drive in 2 hours?
Answer:
110
Step-by-step explanation:
-2.5/2.5
2.5-5x=110
110/2.5-1.3=5x
Write the equation that goes through the points (1,4) and (5,8)
find the value of
indices
Answer:
8/27
Step-by-step explanation:
the third term of an arithmetic series is 70 and the sum of the first 10 terms of the series is 450 . Calculate the common difference of the series .The sum of the series is Sn .Given that Sn > 350 . Find the set of possible values of n
Common difference is 6
Possible values of n is n > 8
Step-by-step explanation:(i) The nth term (Uₙ) of an arithmetic series is given by
Uₙ = a + (n-1)d --------------------(i)
and the sum of the series is given by;
Sₙ = [tex]\frac{n}{2}[/tex](2a + (n-1)d) ---------------------(ii)
Where;
a = first term of the series
d = common difference of the series
n = the term or number of terms to be added.
Interpret the first statement
The third term of the series is 70. i.e
n = 3
Uₙ = U₃ = 30
Substitute these values into equation (i) as follows;
=> 30 = a + (3 - 1)d
=> 30 = a + 2d
=> a = 30 - 2d --------------------(iii)
Interpret the next statement
the sum of the first 10 terms of the series is 450. i.e
n = 10
Sₙ = S₁₀ = 450
Substitute these values into equation (ii) as follows:
=> 450 = [tex]\frac{10}{2}[/tex](2a + (10-1)d)
=> 450 = 5(2a + 9d)
Divide both sides by 5
=> 90 = 2a + 9d ---------------------------(iv)
Solve equations (iii) and (iv) simultaneously
Substitute the value of a in equation(iii) into equation (iv) and solve as follows
=> 90 = 2(30 - 2d) + 9d
=> 90 = 60 - 4d + 9d
=> 90 = 60 + 5d
=> 5d = 90 - 60
=> 5d = 30
Divide both sides by 5
=> d = 6
Therefore, the common difference, d is 6
(ii) Given
Sₙ > 350
From equation (ii), this implies that,
[tex]\frac{n}{2}[/tex](2a + (n-1)d) > 350 -------------------(v)
Let's get the value of the first term 'a'
Substitute the value of d = 6 into equation (iii) and solve as follows
=> a = 30 - 2(6)
=> a = 30 - 12
=> a = 18
Substitute the values of a and d into inequality (v) and solve
[tex]\frac{n}{2}[/tex](2(18) + (n-1)6) > 350
[tex]\frac{n}{2}[/tex](36 + 6n - 6) > 350
[tex]\frac{n}{2}[/tex](36 - 6 + 6n) > 350
[tex]\frac{n}{2}[/tex](30 + 6n) > 350
Multiply both sides by 2
n(30 + 6n) > 700
30n + 6n² > 700
6n² + 30n > 700
Divide through by 2
3n² + 15n > 350
3n(n+5) > 350
Solve the quadratic inequality
Since n specifies the number of terms to be added, it will always be a whole number. Therefore, using trial and error method, the values of n that will satisfy the above inequality will be values greater than 8. i.e
n > 8
In other words, for all values of n greater than 8, the above inequality will be satisfied.
What’s this ? I’ll mark up brainless .
Answer: 0.7 i believe not sure
Step-by-step explanation:
: Marjorie is a 50% partner in Callie's Candies. Under the terms of the partnership agreement, she is to receive 50% of partnership income, but no less than $30,000. If the Partnership's net income for the year is 90,000 what amount of income does Marjorie earn from this partnership? ?
Answer:
$45,000
Step-by-step explanation:
Income = percentage of income she receives x income
50% x 90,000
0.5 x 90,000 = 45,000
A field in the shape of a trapezoid has a perimeter of 460m determine the length of fencing needed for each side of the field?
1. Label all the following values using the box and whisker plot below: (1 point each)
(a) Minimum:
(b) Median (Q2):
(c) lower quartile (Q1):
(d) upper quartile (Q3):
(e) maximum:
Answer:
minimum 56
Median (Q2) 65
Lower Quartile (Q1) 60
Upper Quattile (Q3) 67
Maximum 75
Step-by-step explanation:
If you notice, there are 5 distinguished points of data, and I used all the points for each thing you asked for. You just have to recognize the minimum and maximum are the largest and smallest of all the data, and there is clearly nothing outside of the range of 56-75. then Q1, Q2, and Q3 are on the box itself. The median, just like with numbers, will always be the middle line. It is not directly in the center because there are more people in the 65-75 value range than the 56-65 value range.
hope this helps!
Answer:
minimum 56
Median (Q2) 65
Lower Quartile (Q1) 60
Upper Quattile (Q3) 67
Maximum 75
Step-by-step explanation:
i go to k12
Find the AREA of a circle with a radius of 12 inches. (use 3.14 for pi)
Answer:
area=pie *(r)^2
=3.14*(12in.)^2
=3.14*144in.^2
=452.16in.^2
Step-by-step explanation:
A meteorologist in a city recorded the type of weather for each day last year. The table shows the results.
Answer:
C
Step-by-step explanation:
93/35= 2.657
100/2.657= 37.636
round up
Plz, help me with this question!
Answer:
A. 24
Step-by-step explanation:
Angles in a triangle add up to equal 180
Thus, 66 + 90 + x = 180
66 + 90 = 156
156 + x = 180
180 - 156 = 24
Hence, x = 24
Note: There is a right angle indicated by the square inside of the triangle. A right angle has a measure of 90 degrees. So Just in case you were wondering that's where the 90 cam from
Amina asked 60 children to choose their favourite flavour of jelly. These were her results.
Flavour Number of children
Raspberry 12
Lemon 8 Orange 15 B
blackcurrant 25
Total 60
What percentage of the 60 children choose orange?
We will see that the percentage of the 60 children who choose orange is 25%.
What percentage of the 60 children choose orange?
In this case, the 60 children are the 100%.
We want to find which percentage 15 (number of kids that like orange) represents.
Then we can write:
15 = x
60 = 100%
x = (15/60)*100% = 25%
So we conclude that 25% of the children choose orange.
If you want to learn more about percentages.
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Solve the following system of equations using the substitution method.
-6x + 2y = 8
y = 3x + 4
O A) No solution
B) (8,8)
C) (0,4)
D) Infinitely many solutions
Pilates never uses equipment other than a mat. O A True O B. False
Answer:
B. False
Step-by-step explanation:
broooooooooo why would it just be a mat nah it can be more smh
The difference between the upper-class limit and lower class limit of a class interval is called *
2 points
A. Frequency
B. Width
C. Grouped data
D. Ungrouped data
Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two cameras, both with a field of view of 110 degrees, installed at point A? Explain. If not, what is the minimum field of view that each camera should have?
Select the correct choice below, and fill in any answer box(es) within your choice.
(Type an integer or a decimal.)
A. No. The full field of view at point A is ____ . Each camera must have a field of view of at least ____
B. Yes. The full field of view at point A is _____
Answer:
b yes the full field of veiw sta point a is
Find the area and the circumference of a circle with diameter 6 yd.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
Plz help I'll mark brainliest ASAP !!!
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
Pretty sure is convergence lines
Hi, those are Horizon lines.
If you want to be specific, you can say eye-level horizon lines. Horizon lines show the depth in an art piece. I hope this helps.
what's the equation of this table
1 13
2 17.5
3 22
4 26.5
Answer:
y = 4.5x + 8.5
Step-by-step explanation:
this is true
need help fast on a timer
Answer:
D, [tex]10i\sqrt{2}[/tex]
Step-by-step explanation:
Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.
Answer:
the answer is D.
!!!!!!!!!!!!!!!!!!!!!!!!
Find the area of the figure area composite figures
Answer:
21.9 ft²
Step-by-step explanation:
Hello!
To find the area of this figure, we must find the area of the 6 x 6 square and subtract the area of a semi-circle with a diameter of 6.
Area square:
6 x 636Area semi-circe:
A = 1/2(πr²)A = 1/2(6/2)²πA = 1/2(9π)A = 14.1Area shape:
36 - 14.121.9The units are ft², so the answer is 21.9 ft²
Arturo is making an appetizer for a dinner party. The recipe calls for three cloves of garlic for 7 servings. There are 50 people attending to the dinner party, approximately how many cloves of garlic will a Toro any? Round to the nearest whole number
Answer:
21 cloves of garlic
Step-by-step explanation:
50 ÷ 7 = 7.14
7.14 x 3 = 21.42
Then rounded to the nearest whole number it would be 21.
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
You lean a 12 foot ladder against the wall. If the base is 2.5 feet from the wall, what angle does the ladder make with the ground?
Answer:
77.975degrees
Step-by-step explanation:
Given the following;
Length of the ladder = 12foot (Hypotenuse)
Distance from the wall to the base of the ladder = 2.5feet (adjacent)
Using the SOH CAH TOA identity;
Cos theta = adjacent/Hypotenuse
Cos theta = 2.5/12
Cos theta = 0.2083
theta = arccos (0.2083)
theta = 77.975
Hence the angle that the ladder makes with the ground is 77.975degrees
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
2-20 3-28
Step-by-step explanation:
0-4
1-12
2-20
3-28
When age is 2 then the new squares appeared = 20
When age is 3 then the new squares appeared = 28
What is pattern?"It is a repeated arrangement of numbers, shapes, colors and so on. "
For given question,
Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.
When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.
Each year, a new group of squares appeared around the old squares.
We find the same pattern to find the new squares appeared when she is 2 and 3 years old.
When she is 2 years old then the new squares appeared around the old squares, as shown below.
There are 20 new squares appeared around the old squares.
When she is 3 years old then the new squares appeared around the old squares, as shown below.
There are 28 new squares appeared around the old squares.
Therefore, when age is 2 then the new squares appeared = 20
when age is 3 then the new squares appeared = 28
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A and B are supplementary angles. If m A = (x + 15)° and m
ZB = (x – 13), then find the measure of ZB.
Answer:
76 degrees
Step-by-step explanation:
We know that supplementary angles equal 180 degrees. So, set up the equations:
[tex]180=(x+15)+(x-13)\\[/tex]
[tex]180=(2x+2)\\[/tex]
[tex]178=2x[/tex]
[tex]x=89\\[/tex]
Then, you just plug 89 back into ZB, and simplify:
[tex](89-13)\\[/tex]
[tex]=76[/tex]
So, the measurement of angle ZB is 76 degrees.