PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

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There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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The  average density of the planet is approximately 5.6g/cm³

The formula for density is expressed as;

D = m/v

Such that;

From the information given, we have that;

Volume = 1.02×10⁹ km³

Mass = 5.683 × 10²¹ kg

Convert the parameters

Volume = 1.02×10²⁴cm³

Mass = 5.683 × 10²⁴g

Substitute the values, we have;

Density = 5.683 × 10²⁴g/1.02×10²⁴cm³

Density = 5.6g/cm³

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Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

Answer:

D . f(n)=f(1)=3

            f(n)= -5f(n-1)if n >1

Step-by-step explanation:

i hope this help  got it right on test

A free semigroup is a collection of all possible finite sequences of symbols generated by a set of symbols, where the multiplication operation is concatenation of such sequences.

A free semigroup is a semigroup that is generated by a set of symbols, where the multiplication operation is defined as concatenation of finite sequences of symbols. In other words, a free semigroup is a collection of all possible finite sequences of symbols, where the multiplication operation is concatenation of such sequences.

The "free" in "free semigroup" comes from the idea that there are no restrictions on how the elements of the semigroup are combined, as long as they are concatenated in a finite sequence. There are no additional relations or rules imposed on the multiplication operation, which makes it "free" in the sense that the operation is determined solely by the set of symbols being used.

For example, consider the set of symbols {a, b}. The free semigroup generated by this set would consist of all possible finite sequences of the symbols a and b, including the empty sequence (). The multiplication operation would be defined as concatenation of sequences, such that (a, b)(b, a, b) = (a, b, b, a, b). Note that there are no additional rules or relations imposed on the multiplication operation.

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The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

We know that, the standard form of equation of a circle is expressed as:

(x-a)^2 + (y-b)^2 = b=r^2

where;

(a, b) is the center of the circle

r is the radius of the circle

From given information,

diameter = 12 units

radius = 12/2

           = 6 units

It is given that, the center lies on the y-axis, the center will be at (0, 3)

Substituting above values in the formula,

(x-0)^2 + (y-3)^2 = 6^2

x²+ (y-3)² = 36

Therefore, an equation that represent circle that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y - 3)² = 36

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\( \boxed{ \sf \frac{5}{6} }\)

\( \tt \frac{5}{6} \)

Calculate the approximate value

\( \tt \approx \: 0.833333\)

Round the number to the nearest ten thousandth

\( \tt0.8333\)

Write as a decimal fraction

\( \tt \frac{83.33}{100} \)

By definition p/100= p%

\( = \sf \: 83.33 \%\)

Multiply both numerator and denominator by the same number, I am taking 2

\( \bf \frac{5}{6} \times \frac{2}{2} \\ \bf \: \frac{5 \times 2}{6 \times 2} \\ \bf \: = \frac{10}{12} \)

Answer:

k is equal to 42

Step-by-step explanation:

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

\( {4x}^{2} (x + 1) - 6x(x + 1) \\ = (x + 1)(4 {x}^{2} - 6 x ) \\ = (x + 1)(2x)(2x - 3)\)

explanation:

first choose the common factor by observation, it is (x + 1):

factorise it out:

= (x + 1)(4x² - 6x)

by observation in (4x² - 6x), common factor is 2x.

Factorise 2x out:

= (x + 1)[2x(2x - 3)]

Answer:

(4x2-6x) (x+1)

now common factor is (x+1) ,so,(4x2-6x) (x+1)

(a) The mean of the data item from the group data is 161.

(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.

(c) The sum of the deviation is 0

Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

(a) To find the mean of the data, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.

M' = x-M

For data 115,

For data 156,

For data 162,

For data 164,

For data 168,

(c) The sum of the deviation is

Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7  and the sum of the deviation of the data is 161 and 0 respectively,

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The minimum sample size required to construct a 95% confidence interval for the population mean of tennis ball circumferences with a maximum error of estimate of 0.05 inch, assuming a population standard deviation of 0.10 inch, is 62.

To find the minimum sample size required to construct a 95% confidence interval for the population mean, we can use the formula:

n = (z*σ / E)^2

where:

n = sample size

z = z-score for the desired confidence level (95% confidence level corresponds to a z-score of 1.96)

σ = population standard deviation

E = maximum error of estimate, which is half the width of the confidence interval (in this case, 0.05/2 = 0.025)

Substituting the given values, we get:

n = (1.96 * 0.10 / 0.025)²

n = 61.44

Rounding up to the nearest whole number, we get a minimum sample size of 62.

Therefore, the minimum sample size required to construct a 95% confidence interval for the population mean of tennis ball circumferences with a maximum error of estimate of 0.05 inch, assuming a population standard deviation of 0.10 inch, is 62.

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Answer:

A. -25

Step-by-step explanation:

3x + 4 (-x - 5)

3x + 4 (-10)

15+4(-10)

15 + (-40)= -25

Answer:

28 Dollars

Step-by-step explanation:

80 diveded by 2 is 40

20 percent of 40 is 8

there for each should have tipped 28

Answer:

total tipped = 20% × $80

= $16

total lunch price = $80 - $16

= $64

amount each person pay for tipped

= $16 ÷ 2

= $8

amount each person pay for lunch

= $64 ÷ 2

= $32

total each person pay for lunch and tipped

= $8 + $32

= $40

Answer:

false

Step-by-step explanation:

Answer: 8 books

Step-by-step explanation:

y= how much shelf space take up (inches)

x= # of books

y=2x

in this situation 16=y

16=2x

divide both sides by 2

8=x

Answer:

Class 8 has 27 and class 7 has 40

Step-by-step explanation:

8th (r) class has 13 fewer than 7th (x).
x -13 = r

Total for both classes = 67

r + x - 13 = 67
r + x = 80

80 divided by two = 40 (per class)

40 - 13 =  27

2a means = 2 x a

if a = 4

3 x (2 x 4 + 6) = 3 x (8 + 6) = 3 x 14 = 42

Answer:

slope = - 5/7

y intercept = 3

Step-by-step explanation:

Answer:

a 10

b 650

c 270

d60

e123 870

Answer:

D

Step-by-step explanation:

The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

-18

Step-by-step explanation:

2x²-7xy+3y²

2(3²)-7(3)(4)+3(4²)

2(9)-84+3(16)

18-84+48

18+48-84

-18

Answer:

3.025 as a fraction is 121/40

Answer:

y = (0, -21)

Step-by-step explanation:

Could i get brainliest?

Answer:

-3 and 3/20

Step-by-step explanation:

hope it can help you

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

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Answer:

1/6

Step-by-step explanation:

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

20 percent

Step-by-step explanation:

\(\frac{400}{500}\)\(=0.8\)

\(1-0.8=0.2\)

This means that 20 percent off of 500 is 400.

Answer:

The answer should be 20%

Step-by-step explanation:

Hope this helps