pls help i really really need help on this. We just learned this but i can't remember it.
I'm really sleepy and wanna sleep. So i would appreciate your help.

:)

Answer:

Step-by-step explanation:

in the dark I see two congruent triangles, so x = 53 °

The Number of employees in the first five groups expressed as a sequence is 3, 9, 27, 81 and 243

Number of employees = 3

Each employee in each group employs 3 employees into the next group.

The number of employees in each group can be obtained using the expression :

\( {3}^{n} \)

For the first group, n = 1

For the second group, n = 2

For the third group, n = 3

For the fourth group, n = 4

For the fifth group, n = 5

The sequence of numbers representing the number of employees in the first five groups :

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Answer:

2.13% (rounded to nearest thousandth)

Step-by-step explanation:

You subtract 24 from 23.5 to get 0.5

Then you divide 0.5 by 23.5 to get 0.02127

Then you multiply that by 100 to get your percent error

Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off

The evaluation of the given expression is "\(-\frac{1}{10}\)". A complete solution is provide below.

The given values are:

By putting the values we can evaluate the expression,

→ \(\frac{1}{4} xy = \frac{1}{4} (\frac{-2}{3}\times \frac{3}{5} )\)

→        \(= \frac{1}{4} (\frac{-2}{5} )\)

→        \(= -\frac{1}{10}\)

Thus the above is the right answer.

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The correct answer is option b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.

From the given graph it is seen that sample 1 is not showing any growth or decline despite of the temperature change. One cannot ascertain its gene expression. On the other hand, Sample 2 shows a slight change from 4cm² to 7cm² bacteria count and Sample 3 shows a wide change as per temperature change from 8cm² to 12cm². Hence it can be said that samples 2 and 3 mutated to adjust to the temperature compared to sample 1 which showed no changes.

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Complete Question

the graph below shows the growth of three samples of the different bacteria on Petri dishes incubated over 24 hours as the temperature was increased 10 degrees every eight hours: (Graph in the figure attachment) which statement best explains the data trend observed in the bacteria samples?

a) All bacteria samples grow better at higher temperatures.

b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.

c) Temperature changes do not affect gene expression for growth in sample 1.

d) Bacteria in sample 1 will eventually die out at higher temperatures.

Answer:

1.7ft

Step-by-step explanation:

Given data

Volume of tank=  300π 〖ft〗^3

Height of tank= 10ft

The expression for the volume of a cylinder is given as

Volume= πr^2h

Substitute

300π = π *r^2*10

300= r^2*100

3= r^2

r= √3

r= 1.7 ft

Hence the radius of the cylinder is 1.7ft

Answer:

Jazz sold 3(6/2)sacks of vegetables.

Step-by-step explanation:

5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.

Answer:

A. 25/28

Step-by-step explanation:

3/4 + 1/7 =

21/28 + 4/28 =

25/28

Just remember us helping you will make you fail, you need to learn how to do the math, and it seems like you are learning 3rd grade math, go get help from your parents. You will fail the higher you get in math. I recommend getting help from parents and learning rather than getting the answers for free with free work and not learning anything and failing math

The sets (2,6) and [1,5] are not the same mathematically  but they do have some overlap.

The first pair, (2,6), signifies a number line interval that is open and commences at 2, concluding at 6, while excluding the endpoints.

So one can say that the closed interval on the number line between 1 and 5, including both endpoints, is represented by the set [1,5]. any integer that is seen between 1 and 5, inclusive, is included in this set.

Although there is some similarity between the two groups, namely the presence of numbers 2 to 5, they are distinct from each other. The numerical interval (2,6) does not contain the values 2 and 6, whereas those two numbers are part of the range [1,5].

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See transcribed text below

Mathematically these two sets are the same or are they a way of rewriting the other or are they different? (2,6) and [1,5]

The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct

option is 50% (option 3).

Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".

According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original

wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,

development, and urbanization. Therefore, the correct answer to the question is 50%.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%.

Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.

There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.

Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.

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The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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\(\huge\textbf{Hey there!}\)

\(\mathsf{3f + 4f = 21}\)

\(\textbf{COMBINE the LIKE TERMS}\)

\(\mathsf{(3f + 4f) = 21}\)

\(\mathsf{3f + 4f = 21}\)

\(\mathsf{7f = 21}\)

\(\textbf{DIVIDE 7 to BOTH SIDES}\)

\(\mathsf{\dfrac{7f}{7} = \dfrac{21}{7}}\)

\(\textbf{SIMPLIFY it!}\)

\(\mathsf{f = \dfrac{21}{7}}\)

\(\mathsf{f = 3}\)

\(\huge\textbf{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{f = 3}}\huge\checkmark\)

\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer:

300 \(ft^{2}\)

Step-by-step explanation:

area of triangle= \(\frac{b*h}{2}\)

\(\frac{10*10}{2}\) = 50

4 sides of the triangle

4*50=200

area of square= l*w

10*10=100

area of square+area of triangles

200+100=300

_\(ft^{2}\)=300\(ft^{2}\)

Answer: 300

Step-by-step explanation:

Step-by-step explanation:

xa - xb = c

x (a - b) = c

× = c / (a -b)

The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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We can sum up the results of all three cases to get the total number of strings with exactly 4 occurrences of a or 4 occurrences of b or 4 occurrences of c. Total number of strings = C(12, 4) * 2^8 + C(12, 4) * 2^8 + C(12, 4) * 2^8.

To find the number of strings of length 12 over the alphabet {a, b, c} that have exactly 4 occurrences of a, 4 occurrences of b, or 4 occurrences of c, we can use combinatorics.

First, let's consider the case of a string length of 12.

We have three possibilities: exactly 4 occurrences of a, exactly 4 occurrences of b, or exactly 4 occurrences of c. We will calculate each case separately and then sum up the results.

Case 1: Exactly 4 occurrences of a.

We have 12 positions in the string and we need to choose 4 of them to place the a's. The remaining 8 positions can be filled with b's or c's, giving us 2 options for each position. Therefore, the number of strings with exactly 4 occurrences of a is C(12, 4) * 2^8.

Case 2: Exactly 4 occurrences of b.

Similar to Case 1, we have 12 positions and we need to choose 4 of them to place the b's. The remaining 8 positions can be filled with a's or c's, giving us 2 options for each position. So, the number of strings with exactly 4 occurrences of b is C(12, 4) * 2^8.

Case 3: Exactly 4 occurrences of c.

Again, we have 12 positions and we need to choose 4 of them to place the c's. The remaining 8 positions can be filled with a's or b's, giving us 2 options for each position. Hence, the number of strings with exactly 4 occurrences of c is C(12, 4) * 2^8.

If the length of the string is 17, the approach will remain the same. We will calculate the number of strings with exactly 4 occurrences of a, 4 occurrences of b, or 4 occurrences of c using the formula mentioned above. The only difference will be in the length of the string and the number of positions to be chosen for each case. We will have C(17, 4) instead of C(12, 4), and the remaining positions will be filled with the remaining characters from the alphabet.

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Answer:

5a(6\(b^{4}\) - \(a^{5}\))

Step-by-step explanation:

Given

30a\(b^{4}\) - 5\(a^{6}\) ← factor out 5a from each term

= 5a(6\(b^{4}\) - \(a^{5}\) ) ← in factored form

Answer:

(-2)(2y + 3)

Step-by-step explanation:

-4y =  (-1) * 2 * 2 * y

6 = (-1)* 2 *3

(-2) is common in both the terms

-4y - 6 = (-2) *(2y + 3)

The equivalent Singaporean cost of capital will be 14.0% when adjusting for the difference in inflation rates between the US and Singapore.

To calculate the equivalent Singaporean cost of capital, we need to adjust the US cost of capital based on the difference in inflation rates between the US and Singapore. The formula for the equivalent cost of capital is:

Equivalent Cost of Capital = US Cost of Capital - (US Inflation Rate - Singapore Inflation Rate)

Plugging in the given values, we have:

Equivalent Cost of Capital = 15% - (8.5% - 7.5%)

= 15% - 1%

= 14%

Therefore, the equivalent Singaporean cost of capital is 14.0%.

This adjustment accounts for the difference in inflation rates between the two countries and provides a more accurate reflection of the cost of capital in Singapore. It considers the impact of inflation on the purchasing power of money and helps to maintain consistency in evaluating investment opportunities across different countries.

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The two missing angles of the diagram are:

∠HDG = 117°

∠FDG = 180°

We know that sum of angles on a straight line is 180 degrees.

We also know that two angles that sum up to 180 degrees are referred to as supplementary angles.

From the given image, we see that:

∠HDF is given as 63°.

Thus:

∠HDG = 180 - 63

∠HDG = 117°

Thus, it means that ∠FDG is 180 degrees

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Angle 1 = 180° - 40° (L.P)

Angle 1 = 140°

Easy peasy •^•

The value of x if the two triangles are similar is 1

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

The two triangles are similar.

This means that we have

(3x + 1)/12 = 4x/15

Cross multiply the equation

This gives

12 * (3x + 1) = 4x * 12

So, we have

36x + 12 = 48x

Evaluate the like terms

12x = 12

So, we have

x = 1

Hence, the value of x is 1

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Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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Answer: 12.5% of 1,340  is 167.5 so Luis made $412.50