An ounce is equal to about 28 g. If 1 g of soil contains 2.5 billion bacteria, how many bacteria are in 1 oz of soil?

Answers

Answer 1

Answer:

About 700 billion bacteria

Step-by-step explanation:

Given

[tex]1oz \approx 28g[/tex]

[tex]1g = 25\ billion\ bacteria[/tex]

Required

Number of bacteria in 1 oz

[tex]1g = 25\ billion\ bacteria[/tex]

Multiply both sides by 28

[tex]28 * 1g = 25\ billion\ bacteria * 28[/tex]

[tex]28g = 700\ billion\ bacteria[/tex]

Recall that

[tex]1oz \approx 28g[/tex]

This means:

[tex]1oz \approx 700\ billion\ bacteria[/tex]


Related Questions

Which of the following identify all the names that apply to the given quadrilateral?
A Square
B Rectangle, Square
C Parallelogram, Rectangle, Square
D Parallelogram, Rhombus, Rectangle, Square
3

Answers

D is the right answer because the quadrilateral is the father of every other shape lol

The formula to convert Celcius to Fahrenheit is F=\frac{9}{5}C+32F=
5
9

C+32. If the temperature is -22°F−22°F what is the temperature in Celcius.

Answers

Answer:

-30C -  -5.56C

The diameter of a circle is 19 meters. Complete the description for how you would find the circumference.

Answers

Answer:

The circumference of a circle is 2*pi*r or pi*diameter. The circumference is 19pi

do this and thanks for help

Answers

24 x 10= 240

Cubed root 240 = 6.2
So 6.2*3

Maybe

The areas of two squares
in the model are given.
Find the area of the
third square.
625 units2
400
units2

Answers

Answer:

225 u²

Step-by-step explanation:

The area of the larger square is 625 u². We know that area of square is the square of side. So ,

⇒ a² = 625 u²

⇒ a = √625 u²

a = 25 u .

Similarly finding the side of second square as ,

⇒ a'² = 400 u²

⇒ a' = √400 u²

a' = 20 u

If we see these are the hypontenuse and base of a right a Angled triangle formed between the square. The measure of perpendicular will be the side lenght of third square.

⇒ h² = p² + b²

⇒( 25u)² = p² + (20u)²

⇒ p² = 625 - 400 u²

⇒ p² = 225 u²

This p² is only the area of square .

Hence the area of third square is 225 u² with a side lenght of 15 u .

Answer:

225 units

Step-by-step explanation:

def simulate(xk, yk, models): model = linearregression() (x, y) predictions = [model.predict(xk) for model in models]

Answers

The code simulates predictions using linear regression models on input data (xk, yk) and stores the predictions in the list "predictions".

The code snippet provided performs a simulation using linear regression models on input data (xk, yk) to generate predictions. Here is a step-by-step explanation:

Initialize a list called "predictions" to store the predicted values.

Iterate over the list of models. For each model:

Use the model to predict the values of y for the given input data xk. Append the predicted values to the "predictions" list.

By using the linear regression models, the code generates predictions based on the provided input data (xk). Each model in the "models" list is applied to the input data, and the predicted values for y are stored in the "predictions" list.

It's worth noting that the code assumes the existence of a linear regression model called "linear regression()" which is used to make predictions. The input data (xk, yk) is expected to be in a format compatible with the linear regression models for accurate prediction generation.

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A heptagon has angles x, 105 degrees, 105 degrees, 160 degrees, 124 degrees, 97 degrees, 137 degrees. Find the missing angle measure in the heptagon. The sum of the interior angles of a heptagon is °. The measure of the missing angle is °.

Answers

Heptagon has all angle 900
So
X+105+105+160+124+97+137=900
X=900-728=172

Answer:

900 and 172 for edg 2020-2021

Step-by-step explanation:

if y = .5x + 2, what is the value of x when y=4

Answers

y=0.5x+2

y=4

4=0.5x+2

-2        -2

2=0.5x

/0.5 /0.5

4=x

---

hope it helps

Answer:

[tex]x[/tex] = 4

Step-by-step explanation:

If [tex]y[/tex] = 4 then it would look like:

[tex]y[/tex] = .5[tex]x[/tex] + 2

Since .5 is 0.5, Half of 4 equal 2, PLUS the other 2 making it 4!!

Which relations represent functions? Choose all that apply.
{(-2, 6), (-5, -1), (3, 7), (-5, 0)}

help me please-

Answers

Answer:

its 5,1

Step-by-step explanation:

just took the test

6.
At its first stop a bus picked up 10
people. At the next stop, 8 people got
on and 3 people got off. At the third
stop, 5 people got on and 12 people
got off. How many passengers were
then on the bus?

Answers

Answer:

8

Step-by-step explanation:

10+8-3+5-12=

What is the solution to the equation

Answers

Answer:

n=1

Step-by-step explanation:

4/5n-3/5=1/5n

4n/5-3/5=1/5n

4n/5-3/5=n/5

4n-3/5=n/5

4n-3=n

-3=n-4n

-3=-3n

1=n

n=1

Answer:

n=1

isolate the n's on one side and isolate the 3/5 to the other

4/5n-1/5n = 3/5

3/5n = 3/5

n=1

determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK

Answers

Answer:

m=7/36

Step-by-step explanation:

we need two points in order to find the ratio of the change in y and change in x, which is the slope

m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)

m=(11-4)/(17-(-19))

m=7/36

A student suggests the following algorithm for calculating 72 - 38. 72 Two minus eight equals negative six. -38 -6 Seventy minus thirty equals forty. Forty plus negative six equals thirty-four, 34 which therefore is the result. As a teacher, what is your response? Does this procedure always work? Explain.

Answers

The student's suggested algorithm for subtracting numbers is incorrect. The algorithm produces the correct result in this specific case (72 - 38), but it does not work consistently for all subtraction problems.

The student's algorithm suggests subtracting the ones digit first and then subtracting the tens digit. While this approach may give the correct answer in some cases, it does not work for all subtraction problems. Subtraction is an operation where we need to consider the place value of the digits being subtracted.

In the case of 72 - 38, the student's algorithm produces the correct result of 34. However, if we apply the same procedure to a different subtraction problem, such as 43 - 29, we would get an incorrect result of 14 instead of the correct answer, 14. The student's algorithm fails to consider borrowing or regrouping when subtracting digits from different place values.

As a teacher, it is important to guide the student in understanding the standard algorithm for subtraction, which involves subtracting digits starting from the rightmost place value and borrowing when necessary. By teaching the correct procedure, students can consistently obtain accurate results for subtraction problems. It is crucial to explain the limitations of the student's suggested algorithm and emphasize the importance of understanding and applying the appropriate method for subtracting numbers.

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Find the potential function f for the field F.
F = (y - z) i + (x + 2y - z) j - (x + y) k
f(x, y, z) = xy + y2 - x - y + C
f(x, y, z) = xy + y2 - xz - yz + C
f(x, y, z) = x(y + y2) - xz - yz + C
f(x, y, z) = x + y2 - xz - yz + C

Answers

Answer is f(x, y, z) = xy + y² - xz - yz + C

Given field, F is F = (y - z) i + (x + 2y - z) j - (x + y) k

To find potential function f,

we need to find the antiderivative of each component of F, with respect to its respective variable.

The antiderivative of the x-component is

∫ (y - z) dx= xy - xz + C1

The antiderivative of the y-component is

∫ (x + 2y - z) dy= xy + y² - yz + C2

The antiderivative of the z-component is:

∫ -(x + y) dz= -xz - yz + C3

Therefore, potential function f is

f(x, y, z) = xy + y² - xz - yz + C.

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HELP I WILL MARK BRAINLIEST

Answers

Answer:

the answer is A.

Step-by-step explanation:

The answer is A I’m pretty sure

Solution(s) of the differential equation *y'= 2y

y = 2x only
А. y = 0 and Y = 22
y=0 only
y = 0 and 2x

Answers

The solutions to the differential equation y' = 2y are y = 0 and y = 2x. The solution y = 0 represents a constant function. The solution y = 2x represents a family of exponential functions.

The given differential equation is y' = 2y, where y' represents the derivative of y with respect to x. To solve this equation, we can separate variables by moving all terms involving y to one side and terms involving x to the other side:

dy/y = 2dx

Next, we integrate both sides of the equation. The integral of dy/y is ln|y|, and the integral of 2dx is 2x:

ln|y| = 2x + C

Here, C is the constant of integration. To simplify the equation, we can rewrite it as:

|y| = e^(2x + C)

Since e^(2x + C) is always positive, we can remove the absolute value sign:

y = ±e^(2x + C)

Now, let's consider the two cases separately.

Case 1: y = 0

If y = 0, then the exponential term becomes e^C, which is a constant. This implies that y remains zero for all values of x. Therefore, y = 0 is a solution to the differential equation.

Case 2: y ≠ 0

If y ≠ 0, we can rewrite the solution as:

y = ±e^C * e^(2x)

Since e^C is a constant, we can replace it with another constant, let's call it K:

y = ±K * e^(2x)

Here, ±K represents a family of exponential functions that grow or decay exponentially with a rate proportional to 2. Each value of K corresponds to a different solution to the differential equation.

In summary, the solutions to the differential equation y' = 2y are y = 0 and y = ±K * e^(2x), where K is a constant. The solution y = 0 represents a constant function, while y = ±K * e^(2x) represents a family of exponential functions.

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Let f(x) = (x + 7)^2 Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f restricted to this domain

Answers

The function f(x) = (x + 7)^2 is one-to-one and non-decreasing for any domain on the real numbers. The inverse of f(x) restricted to this domain is y = √x - 7.

To find a domain on which the function f(x) = (x + 7)^2 is one-to-one and non-decreasing, we need to determine where the function is strictly increasing or non-decreasing and has a one-to-one correspondence.

First, let's examine the graph of f(x) = (x + 7)^2 to understand its behavior. The function is a parabola that opens upward, centered at x = -7, and the vertex is the lowest point on the graph.

Since the vertex is the lowest point and the parabola opens upward, the function is non-decreasing for all x-values. Therefore, the function is non-decreasing over its entire domain.

To find a domain on which the function is one-to-one, we observe that the function is not symmetric about the y-axis. Hence, the domain can be any subset of the real numbers.

Now, let's find the inverse of f(x) restricted to this domain. Since f(x) is non-decreasing, the inverse will also be non-decreasing. The inverse function can be found by interchanging the roles of x and y in the original equation and solving for y.

Let's proceed with finding the inverse:

Start with the equation f(x) = (x + 7)^2.

Interchange x and y: x = (y + 7)^2.

Solve for y:

Take the square root of both sides: √x = y + 7.

Subtract 7 from both sides: y = √x - 7.

The inverse function of f(x) restricted to any domain on which it is one-to-one and non-decreasing is given by y = √x - 7.

Note that the domain can be any subset of the non-negative real numbers, since the square root function is defined only for non-negative values.

In summary, the function f(x) = (x + 7)^2 is one-to-one and non-decreasing for any domain on the real numbers. The inverse of f(x) restricted to this domain is y = √x - 7.

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Calculate the perimeter of the composite figure. Round your answer to the nearest hundredth. Use 3.14 for $\pi$ .

th sides are 8 and 10

Answers

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

 Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

  Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

  Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches  

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

Volume = 2*7*9 = 126 cubic cm

6. surface area = 2*(11*11+11*11+11*11) = 726 mm

 Volume = 11 *11*11 = 1331 cubic cm

Please help me! I need help solving this!

Answers

Answer:

18

Step-by-step explanation:

if An = n+4

then A14 = 14+4 = 18

that's all .....have fun

I think the answer is 161

1. Claretta works part-time at a coffee shop. Her
weekly paychecks in March are: $87.00, $96.00,
$84.25, and $100.75. Find the median of her
paychecks.

Answers

The median is 90.125 because since there is no middle because it’s an even number you add the middle 2 numbers and then divide that by 2

Ben wants to join a fitness club. The fitness club charges an initial membership fee of $49.50 and a monthly fee of 17.50. Part B ben's company will pay $300.00 each year toward his fitness club membership. Ben thinks he will have to pay $40.50 for his membership his first year. Is he correct?​

Answers

Answer:

no he is not correct

Step-by-step explanation:

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:

What is the distance, CD, between the boats?

230.9 ft
284.3 ft
115.5 ft
173.2 ft

Answers

Answer:

Option (1)

Step-by-step explanation:

By applying tangent rule in ΔABD,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB}{BD}[/tex]

BD = [tex]\frac{AD}{\text{tan}(30)}[/tex]

BD = [tex]\frac{200}{\frac{1}{\sqrt{3} } }[/tex]

BD = 200√3 ft

By applying tangent rule in ΔABC,

tan(60°) = [tex]\frac{AB}{BC}[/tex]

[tex]\sqrt{3}=\frac{200}{BC}[/tex]

BC = [tex]\frac{200}{\sqrt{3}}[/tex]

Since, CD = BD - BC

CD = 200√3 - [tex]\frac{200}{\sqrt{3}}[/tex]

     = 346.41 - 115.47

     = 230.94 ft

     ≈ 230.9 ft

Therefore, Option (1) will be the correct option.

Answer:

230.9 ft

Step-by-step explanation:

person above said it was correct answer

HELP!!!!!! will give brainlist

Answers

Answer:

1. 112 cm

2 135 ft

3 53.67

Step-by-step explanation:

Answer:i

Step-by-step explanation:

A plane is flying at an altitude of 7000 feet. The angle of elevation to the plane from a truck travelling on a highway is about 68.5 degrees. How far apart are the plane and the truck?

Answers

Answer: About 2477.16 feet

Step-by-step explanation:

PLEASE ANSWER!! Write the equation of a line that passes through the points (-2,-9) and (2,-9).

Answers

Answer:

Step-by-step explanation:

the equation in the point slope form is

and reducing the equation (slope-intercept form)

Step-by-step explanation:

first we calculate the slope of the line with the formula:

where  is a point where the line passes, and  is another point where the line passes.

Since we have the following points:

(8, -2)

(5,5)

we conclude that

now we substitute this values to find the slope:

to find the equation now that we know the slope we use the point-slope equation:

and we subtitute the slope and the values of  and :

we reduce this equation:

the equation in the point slope form is

and reducing the equation (slope-intercept form)

Find the Wronskian for the set of functions (3x^2, e^x, xe^x}, then determine if they are linearly dependent or independent.

Answers

The Wronskian for the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) is W(0) = 1 and the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) are linearly independent.

To find the Wronskian for the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) and determine if they are linearly dependent or independent, we calculate the determinant of the matrix formed by taking the derivatives of these functions and evaluating them at a specific point.

The Wronskian is a determinant that helps determine if a set of functions is linearly dependent or independent.

For the given set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]), we need to calculate the Wronskian.

First, we take the derivatives of the functions:

f₁(x) = 3[tex]x^2[/tex]

f₂(x) = [tex]e^x[/tex]

f₃(x) = x[tex]e^x[/tex]

Taking the first derivatives, we get:

f₁'(x) = 6x

f₂'(x) = [tex]e^x[/tex]

f₃'(x) = [tex]e^x[/tex] + x[tex]e^x[/tex]

Next, we form a matrix with these derivatives:

| 6x [tex]e^x[/tex] [tex]e^x[/tex] + x[tex]e^x[/tex] |

To calculate the Wronskian, we evaluate this matrix at a specific point, let's say x = 0, and take the determinant:

W(0) = | 6(0) [tex]e^0[/tex] [tex]e^0[/tex] + 0[tex]e^0[/tex] |

| 0 1 1 |

| 1 1 1 |

Simplifying, we find:

W(0) = | 0 1 1 |

| 1 1 1 |

| 1 1 1 |

Calculating the determinant, we have:

W(0) = (0)(1)(1) + (1)(1)(1) + (1)(1)(1) - (1)(1)(1) - (1)(1)(0) - (1)(1)(1) = 1

Since the Wronskian is non-zero (W(0) ≠ 0), the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) are linearly independent.

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99999 help me plz plz plz plz

Answers

Answer:

hi

Step-by-step explanation:

i think 10 in

hope it helps

Answer:

10

Step-by-step explanation:

The triangles are the same size, and if you look at the picture, you can see that MN and QR are the same, making QR 10 in.

Explain, using complete sentences, how you would reconcile your check register with your monthly bank statement

Answers

How do you reconcile a bank statement?

Step 1: Adjust the bank statement balance. All your transactions for the month may not be on your bank statement. ...

Step 2: Adjust the check register balance. Your bank statement may include items that you didn't record in the check register. ...

Step 3: Compare the adjusted balances.

(2 x 10^4) + (7 X 10^4) =

Answers

Quick what does ^ mean I can solve that but I need to know what ^ means.

Answer:

90,000

Step-by-step explanation:

10^4=10,000.

2*10,000=20,000

7*10,000=70,000

20,000+70,000=90,000

If f(x) = 3x^0 - 2x^-1 +4 then f(2)=

Answers

Answer:

try this link

Step-by-step explanation:

https://www3.nd.edu › WorkPDF

Web results

MATH 10550, EXAM 1 SOLUTIONS 1. If f(2) = 5, f(3) = 2, f(4) = 5, g(2 ...

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