The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.
Answers
The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.
Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.
Given that the length of a bacterial cell is about 5.36 x 10⁻⁴ m, and the length of an amoeba cell is about 6.2 x 10⁻⁴ m.
Ratio of the size of the cell is
B/A = 5.36 x 10⁻⁴/6.2 x 10⁻⁴
B/A = 5.36/6.2
= 0.864
Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.
micro organism are prokaryotes, lacking nicely-defined nuclei and membrane-sure organelles, and with chromosomes composed of a unmarried closed DNA circle. they come in many sizes and styles, from minute spheres, cylinders and spiral threads, to flagellated rods, and filamentous chains.
To learn more about bacterial cell visit https://brainly.com/question/28224228
#SPJ9
Related Questions
Ernesto guesses there are 69 marbles in a jar, but there are actually 60.
What is the percent error in Ernesto's guess?
Answers
Answer:
15%
Step-by-step explanation:
Since the problem is to find how much 69 is as a percent if 60 is 100%, we can use a rule of three, simple, direct proportion to do it:
60 = 100%
68 = x
x = 69x100/60
x = 115
That means 69 is 115% of 60, which means that the error is of:
115 - 100 = 15%
Hope this helps, have a great day! :D
The measure of angle A is 4° greater than the measure of angle B. The two angles are complementary. Find the measure of each angle.
Answers
Answer:
A: 49° B: 41°
Step-by-step explanation:
First, you know they are complementary, so they must be at least 45°. Then, since angle A is 4° greater than angle B, you add 4° to angle A (49°) and subtract 4° from angle B (41°).
Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food. How many cans of food does Bridgette give to each dog?
Answers
Bridgette gives 1/10 cans of food to each dog.
According to the question,
We have the following information:
Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food.
Now, we have the following expression:
9 dogs = 9/10 can
Now, we can easily find the cans given to each dog using division. We will divide the total number of cans of food by the number of dogs.
1 dog = 9/(10*9) cans
1 dog = 1/10 cans of food
Hence, Bridgette gives 1/10 cans of food to each dog.
To know more about cans of food here
https://brainly.com/question/6669562
#SPJ1
Write 0.000000207 in scientific notation:
Answers
Answer:207x10^-7
Step-by-step explanation:
Answer:
2.07*10^-7
Step-by-step explanation:
emmanuel is 2 times older than jamie. their ages add to 54. Find both their ages
Answers
Answer:
Emmanuel is 28, and Jamie is 26
Step-by-step explanation:
54/2=27
28-emmanuel
26-jamie
28+26=54
If Emmanuel is 2 times older than Jamie, their ages add to 54 Jamie is 18 years old and Emmanuel is 36 years old.
Determining their agesLet's assume Jamie's age is x.
Emmanuel's age is 2 times older than Jamie's age, so Emmanuel's age is 2x.
The sum of their ages is 54, that is
x + 2x = 54
Combining like terms:
3x = 54
Dividing both sides by 3:
x = 54/3
x = 18
Jamie is 18 years old.
Substituting Jamie's age back into the equation to find Emmanuel's age:
Emmanuel's age = 2 * Jamie's age
Emmanuel's age = 2 * 18 = 36
Emmanuel is 36 years old.
Therefore, Jamie is 18 years old and Emmanuel is 36 years old.
Learn more on sums here https://brainly.com/question/25734188
#SPJ2
Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
Step 1: -5 + 36x + 36 = 1 + 6x
Step 2: 36x + 41 = 1+ 6x
Step 3: 30x + 41 = 1
monts
sents
Step 4: 30x = -40
4
Step 5: x = -
3
A: Identify the first step in which Brianna made an error.
B: Write the correct solution to Brianna's original equation.
Answers
Answer:
Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36
Part B: x= -1
Step-by-step explanation:
This is how it should have been done.
Step 1: -5+6(6x+6)= 1+6x
Step 2: -5+36x= 36=1+6x
Step 3: 36x+31= 1+6x
Step 4: 36x= 6x-30
Step 5: 30x= -30
Step 6: x= -1
A doctor prescribes an ointment that is 2% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How many ounces of each should the pharmacist use to make a 7-ounce tube?
Answers
The pharmacist should use 5.25 ounces of 1% hydrocortisone ointment and 1.75 ounces of 5% hydrocortisone ointment.
How to find ounces ?Let x be the number of ounces of 1% hydrocortisone ointment required and y be the number of ounces of 5% hydrocortisone ointment required to make a 7-ounce tube of 2% hydrocortisone ointment.
Since we want a total of 7 ounces of ointment, we have the equation:
x + y = 7
We also know that the amount of hydrocortisone in the final ointment must be equal to 2% of 7 ounces, or 0.14 ounces. The amount of hydrocortisone in x ounces of 1% ointment is 0.01x ounces, and the amount of hydrocortisone in y ounces of 5% ointment is 0.05y ounces. So, we have the second equation:
0.01x + 0.05y = 0.14
To solve for x and y, we can use the method of substitution. Rearranging the first equation to solve for x, we get:
x = 7 - y
Substituting this expression for x into the second equation, we get:
\(0.01(7 - y) + 0.05y = 0.14\)
Simplifying and solving for y, we get:
0.07 - 0.01y + 0.05y = 0.14
0.04y = 0.07 - 0.14
0.04y = -0.07
y = -0.07/0.04
y = -1.75
This negative value for y doesn't make sense, so we need to check our work. We made a mistake in the equation above, the correct equation should be:
0.01x + 0.05y = 0.02(7)
0.01x + 0.05y = 0.14
Using this corrected equation, we can solve for y:
0.01x + 0.05y = 0.14
0.05y = 0.14 - 0.01x
y = (0.14 - 0.01x)/0.05
Substituting this expression for y into the first equation, we get:
x + (0.14 - 0.01x)/0.05 = 7
Multiplying both sides by 0.05 to eliminate the denominator, we get:
0.05x + 0.14 - 0.01x = 0.35
0.04x = 0.21
x = 5.25
So, the pharmacist should use 5.25 ounces of 1% hydrocortisone ointment and 1.75 ounces of 5% hydrocortisone ointment to make a 7-ounce tube of 2% hydrocortisone ointment.
Learn more about ounces
brainly.com/question/29180152
#SPJ11
evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) dt t2 − 12t 40
Answers
The integral of t² - 12t + 40 with respect to t is equal to (1/3)t³ - 6t² + 40t + C, where C is the constant of integration.
Explanation: This can be determined by using the power rule of integration, where the antiderivative of tⁿ (where n is a positive integer) is (tⁿ⁺¹)/(n+1) + C.
For example, the antiderivative of t² is (1/3)t³ + C, and the antiderivative of -12t is -6t² + C.
Finally, the antiderivative of a constant, such as 40, is simply 40t + C. So, when we add up all the antiderivatives, we get the integral of t² - 12t + 40 with respect to t, which is equal to (1/3)t³ - 6t² + 40t + C.
To know more about antiderivative click on below link:
https://brainly.com/question/28208942#
#SPJ11
Complete question:
evaluate the integral of t²-12t+40
Find the values of x and y. State which theorem(s) you used.
Answers
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
The function y=-6x is graphed on a coordinate plane. Which statements about the graph of the function are true? Select all the true statements.
A. The graph forms a curve.
B. The graph forms a straight line.
C. When , the graph is entirely in the first quadrant.
D.When , the graph is entirely in the third quadrant.
E.When , the graph is entirely in the fourth quadrant.
F. When , the graph is entirely in the second quadrant..
Answers
The graph of the function y = -6x is a straight line that has a slope of -6 and passes through the origin (0,0).
When x < 0, the value of y is negative and the line is in the third quadrant of the coordinate plane.
When x > 0, the value of y is positive and the line is in the fourth quadrant of the coordinate plane.
Since the graph forms a straight line and not a curve, statement A is false. Similarly, since the line never crosses the positive x-axis, statement C is false. And since the line never crosses the positive y-axis, statement F is false.
to know more about slope refer:
https://brainly.com/question/16949303
A twelve-pack of 20-ounce water bottles sells for $4.78. the expression 20???? represents the amount of water in a number of bottles. what does the variable ???? represent? clear check a number of water bottles a number of twelve-packs of water bottles the amount of water in a twelve-pack the cost of each twelve-pack
Answers
The variable, w in the expression given represents the number of bottles.
Given that :
cost of 20 packs = $4.78expression = 20wThe whole expression 20w represents the amount of water in a given number of bottles .
Since the size of each bottle is 20 ounces, then the value of 'w' would represent the number of bottles.
Therefore, the constant value , 20 = size of water bottle while the variable, w represents the number of bottles.
Learn more on expressions:https://brainly.com/question/2972832
#SPJ4
a simply supported beam carries a uniform load
w=104kN/m at its middle third if L = 10 m determine the absolute
value of the maximum moment in kN-m
Answers
When a simply supported beam carries a uniform load of 104 kN/m over a length of 10 m, the absolute value of the maximum moment is 1300 kN-m.
The maximum moment in a simply supported beam carrying a uniform load can be determined using the formula:
Mmax = \((w * L^2) / 8\)
where Mmax is the maximum moment, w is the uniform load, and L is the length of the beam.
In this case, the uniform load is given as w = 104 kN/m, and the length of the beam is L = 10 m.
Plugging these values into the formula, we have:
Mmax = \((104 * 10^2) / 8\)
Simplifying the equation:
Mmax = (104 * 100) / 8
Mmax = 1300 kN-m
Therefore, the absolute value of the maximum moment in this beam is 1300 kN-m.
To summarize, when a simply supported beam carries a uniform load of 104 kN/m over a length of 10 m, the absolute value of the maximum moment is 1300 kN-m.
Learn more about absolute value from given link: https://brainly.com/question/12928519
#SPJ11
What is the missing output?
Answers
Answer:
28
Step-by-step explanation:
We substitute all of the x's for threes to get the output.
f(3)= 3(9)-(2*3)+7
f(3)= 27-6+7
f(3)= 21+7
f(3)= 28
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x=0
A.
B. 1
C. -2
D. O
E. 2
F. None of these
Answers
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
Answers
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
To learn more about Tension click here: brainly.com/question/31500075
#SPJ11
a projectile is shot straight up from the earth's surface at a speed of 1.30×104 km/hr. How high does it go?
Answers
Therefore, the projectile goes approximately 6.9 × 10^6 meters or 6,900 kilometers high.
Let's first convert the initial speed from km/hr to m/s to be consistent with the unit of acceleration due to gravity.
1.30×10^4 km/hr = (1.30×10^4 × 1000 m/km) / (3600 s/hr) = 3611.11 m/s
We can use the kinematic equation: Δy = v0t + 1/2at^2 to determine the maximum height reached by the projectile. At the highest point, the velocity is zero, so we can use the fact that v = v0 + at = 0 to find the time it takes to reach the maximum height.
v0 = 3611.11 m/s (initial velocity)
a = -9.81 m/s^2 (acceleration due to gravity)
t = -v0/a = -3611.11/(-9.81) = 367.97 s (time to reach maximum height)
Now we can use the time to find the maximum height reached:
Δy = v0t + 1/2at^2 = 3611.11 × 367.97 + 1/2 × (-9.81) × (367.97)^2 ≈ 6.9 × 10^6 meters
To know more about projectile,
https://brainly.com/question/6848934
#SPJ11
Which graph represents the function f(x) = |x| – 4? On a coordinate plane, an absolute value graph has a vertex at (0, 4). On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0). On a coordinate plane, an absolute value graph has a vertex at (0, negative 4). On a coordinate plane, an absolute value graph has a vertex at (4, 0).
Answers
Answer:
on coordinate plane,. an absolute value graph has a vertex at (0, -4)
the 3rd option
The graph that represents the function f(x) = |x| - 4 is (c) an absolute value graph has a vertex at (0, -4).
An absolute function is represented as:
\(f(x) = a| x- h| +k\)
Where the vertex is:
\(Vertex = (h,k)\)
The function is given as:
\(f(x) = |x|-4\)
Rewrite the above function as:
\(f(x) = |x + 0|-4\)
Compare \(f(x) = |x + 0|-4\) and \(f(x) = a| x- h| +k\), we have:
\((h,k) = (0,-4)\)
Hence, the graph of \(f(x) = |x|-4\) has a vertex of (0,-4)
Read more about absolute value graphs at:
https://brainly.com/question/2166748
Find the value of 2.
A.126
B.121.5
C.117
D.63
Answers
Answer:
D
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the intercepted arcs.
The sum of the 2 arcs on the circle = 360°, thus
lower arc = 360° - 243° = 117°, then
x = \(\frac{1}{2}\) (243 - 117)° = 0.5 × 126° = 63°
Which of the following statements is false? A. A rectangle is an equiangular quadrilateral. B. Opposite sides of a parallelogram are congruent. C. A square is a regular quadrilateral. D. The diagonals of a rectangle are perpendicular.
Answers
Answer:
D.
Step-by-step explanation:
Choices A., B., and C. are always true.
Choice D. is true only for rectangles with congruent sides, which are squares.
Answer: D.
There are 25 gummy worms that 3 friends are going to split. How many gummy
worms does each friend get?
Answers
Answer:
each freind would get 8 1/3 worms
Step-by-step explanation:
Answer: 8.1
The answer to 25 divided by 3 can also be written as a mixed fraction as follows: 8 1/3
If you enter 25 divided by 3 into a calculator, you will get:
8.3333
Hi can any one please help me I really need help help thank you
Answers
Answer:
Step-by-step explanation:
a) -3x+5 = 5x-12
-> -3x-5x=12-5
-> -8x=7
-> x=-7/
Answer:
a)x=17/8
b)x=23
c)x=-28/11
Step-by-step explanation:
a) -3x+5=5x-12
-3x-5x=-12-5
-8x=-17
x=17/8
b) 6(x-3)-4(x+2)=20
6x-18-4x-8=20
6x-4x-18-8=20
2x-26=20
2x=20+26
2x=46
x=23
c) -2/5(x+3)=1/3(x-2)
15[-2/5(x+3)]=15[1/3(x-2)]
-6(x+3)=5(x-2)
-6x-18=5x-10
-6x-5x=-10+18
-11x=28
x=-28/11
FIRST ONE AND CORRECT WILL GET BRAINLY Joanie went to the park. She played with her friend Kari for a while before walking to home. Look at the graph and solve all questions.
Answers
Answer: She was at the park For 12 minutes.
She walked at her slowest speed for 7 minutes
Step-by-step explanation:
Someone help pleasee
Answers
Answers:
a = 3
b = 3
c = -6
=====================================
Explanation:
The roots are x = 1 and x = -2. This leads to the factors x-1 and x+2 respectively.
This is because something like x = 1 becomes x-1 = 0 after subtracting 1 from both sides. For x = -2, we add 2 to both sides getting x+2 = 0.
The factorization is y = a(x-1)(x+2)
Plug in (x,y) = (2,12) and solve for 'a'
y = a(x-1)(x+2)
12 = a(2-1)(2+2)
12 = a(1)(4)
12 = 4a
12/4 = a
3 = a
a = 3
So we have y = a(x-1)(x+2) update to y = 3(x-1)(x+2)
--------------------------------------
The last thing we need to do is expand everything out (use the FOIL rule then distributive rule) to get the equation into standard form
y = 3(x-1)(x+2)
y = 3(x^2+2x-1x-2)
y = 3(x^2+x-2)
y = 3x^2+3x-6
Comparing this to y = ax^2+bx+c shows that:
a = 3
b = 3
c = -6
The graph is below.
Question 10 of 28
Which of the following expressions are equivalent to
2. ? Choose all that apply.
ھر - 20
A.
B.
c.
2
(3)2 - (13 )2
1
1
(x3 - 3 ) ( + 13 )
2
1
(3 - 13) (3 - 13)
مردم زمرے
2
1
D. (x3 - 3 ) ( + 13 )
Answers
Answer: A, D
Step-by-step explanation:
A) Correct. \((x^3)^2=x^{(3)(2)}=x^6\). Similar logic for y.
B) Incorrect. The numerators are different.
C. Incorrect. The denominators are not the same.
D. Correct. The denominators are the same by difference of squares.
how many samples of size n=2 can be drawn from this population
Answers
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
Read more about sample size at
https://brainly.com/question/17203075
#SPJ1
Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
Standard form: 4x + 5y = 4 Slope-intercept form:
Answers
Answer:
y=\(\frac{4}{5}-\frac{4}{5} x\)
Step-by-step explanation:
Slope intercept form is the equation y=mx+b. In order to achieve this formula, we have to isolate the y variable. So let's move x to the other side by subtracting it.
4x+5y=4
-4x -4x
Now, we can isolate the y by dividing by five everywhere.
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenths of a cubic inch?
Answers
Answer: In ^3
Step-by-step explanation: V = (1/2) (4/3) π(d/2^3
Plug in
d = 56.7 in
and get V in units of in^3.
a large city hospital conducted a study to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. a sample of employees was selected and the following data were collected. a. Develop the least squares estimated regression equation that relates the distance to work to the number of days absent (to 4 decimals).y =( ) + ( ) xb. Predict the number of days absent for an employee that lives 5 miles from the hospital. Round your answer to nearest day.( ) days
Answers
a. The least squares estimated regression equation that relates the distance to work to the number of days absent is given as follows: y = -0.3442x + 8.0978.
b. The estimate of the number of days absent for an employee that lives 5 miles from the hospital is of: 6 days.
How to obtain the linear regression equation?The linear regression equation is obtained inserting the points of the data-set into a linear regression calculator.
From the image given at the end of the answer containing the table, the points are given as follows:
(1, 8), (3,5), (4,8), (6, 7), (8,6), (10, 3), (12, 5), (14, 2), (14,4), (18,2).
Inserting these points into the calculator, the equation is given as follows:
y = -0.3442x + 8.0978.
When x = 5, the estimate is given as follows:
y = -0.3442(5) + 8.0978 = 6 days.
Missing InformationThe table containing the data is given by the image shown at the end of the answer.
More can be learned about regression equations at https://brainly.com/question/26755306
#SPJ1
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 35 °
F. The temperature increases by 20 °
F per minute, x, when being heated.
The equation is y =
Answers
Answer:
x
Step-by-step explanation:
Geomotry 10th grade easy 25 points
Answers
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60