The size P of a small herbivore population at time t (in years) obeys the function P(t) = 600e0.27t if they have enough food and the predator population stays constant. After how many years will the population reach 3000? 9.66 yrs 28.83 yrs O 11.77 yrs 5.96 yrs

Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

Answer:

V≈134.0

Step-by-step explanation:

divide 8 by 2 to get the radius .

V=πr2h /3

V=πr2 h /3=π·42·8 /3≈ 134.0

Answer:

The answer is (-0.7, -9.4)

Step-by-step explanation:

1) Since we are using the substitution method, and we know that y = 2x-1, in the first equation, plug that into y.  It should look like this:

4x-2(12x-1) = 14

4x -24x + 2 = 14

2) Combine like terms and continue to simplify until you get a direct answer for each variable.

-20x + 2 = 14.

-20x = 12.

x = -7/10 (or -0.7)

3) Now we know what x equals, so to find our y-coordinate, we will plug this into either equation.

y = 12(-7/10) -1

y= -84/10 -1

y= -9.4

4) Now that we have our x value and y value, we know our point. The solution is (-0.7, -9.4).

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair

Answer:

Yellow has more

Step-by-step explanation:

2/6 4/12

3/12

I made them have the same denominators so I can see which has more

Answer:

gggggggggggggggggggghhhhhhjhhjbbbgvgv vf vfc

Answer:   192 is the answer

Step-by-step explanation:

|-3 x 64|  

3x4 is 12 then you add the one above the 6

next you do 3x60+1 and you get 190 so then you add the 2  that was left over to get 192 as your answer

Austin needs to cover 15 square inches of surface area with paint in order to finish the task.

The area of the pennant is the length times the width, which is 3 inches times 5 inches. This gives us 15 square inches of surface area to be covered. To calculate the amount of paint needed, we first need to calculate the area of the pennant. The formula for area is area = length x width. Plugging in the measurements for the base and height of the pennant, we get 15 square inches of surface area. This means that Austin needs to cover 15 square inches of surface area with paint in order to finish the task.

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The perimeter of a square can be found using the following formula:

Where "s" is the length of any side of the square.

Then, an expression that represents the perimeter of a square can be:

You know that it must be greater that 90 inches be less than 108 inches. Then, using this information, you can set up that:

Now, in order to find the range of possible side lengths asked in the exercise, you need to divide 90 and 108 by 4, as you can see below:

Answer:

Sample Response: g(x) rises more steeply than f(x) because the value of a in f(x) is 4, whereas the value of a in g(x) is 16. This means that f(x) is a vertical stretch of the square root function by a factor of 4, while g(x) is a vertical stretch of the square root function by a factor of 16. Both functions will contain the point (0, 0), but f(x) would contain the point (1, 4) and g(x) would contain the point (1, 16), which is a steeper rise from the point (0, 0).

Step-by-step explanation:

The number less than a cube is 26.

The cube of a number is obtained by multiplying the number three times.

Determine the cube of 3.

3·3·3=27

So, the cube of 3 is 27.

From the given options it can be observed that the number 26 is 1 less than 27.

Thus, the number one less than cube is 26.

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Answer: 4

Step-by-step explanation:2+4=6 and the highest number of animals is 5

Answer:

y = -(7x/5) - (9/5)

Step-by-step explanation:

Line f has an equation of y + 4 = (5/7)(x + 3). We want to find the equation of line g, which is perpendicular to line f and passes through the point (-2, 1).

To find the equation of line g, we need to determine its slope. The slope of line f is (5/7) because the equation is in the form y = mx + b, where m represents the slope.

Since line g is perpendicular to line f, its slope will be the negative reciprocal of the slope of line f. To find the negative reciprocal, we flip the fraction and change the sign. So, the slope of line g is -(7/5).

We know that line g passes through the point (-2, 1). We can use this information to find the equation of line g using the point-slope form of a linear equation: y - y1 = m(x - x1).

Substituting the values, we have: y - 1 = -(7/5)(x - (-2)).

Simplifying, we get: y - 1 = -(7/5)(x + 2).

Distributing -(7/5) to (x + 2), we have: y - 1 = -(7/5)x - (14/5).

To isolate y, add 1 to both sides: y = -(7/5)x - (14/5) + 1.

Simplifying, we get: y = -(7/5)x - (14/5) + 5/5.

Combining fractions, we have: y = -(7/5)x - (9/5).

Therefore, the equation of line g in a student-friendly format is y = -(7/5)x - (9/5).

Answer:

y=−9x and y=−4

Step-by-step explanation:

Answer:

Step-by-step explanation:

48618/9=5402

48618/3=16206

Answer:

C

Step-by-step explanation:

I used a calculator

When A and B are divided by 3, there's a decimal. I didn't try D because C worked for both.

48618 ÷ 3 = 16206

48618 ÷ 9 = 5402

Answer:

rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere)

Step-by-step explanation:

The correct answer is C. Rotation of 90°, as it can carry ABCD onto itself with a point of rotation at (3, 2).

To determine which transformations can carry ABCD onto itself with a point of rotation at (3, 2), we need to consider the properties of the given transformations.

A. Reflection across the line y = 2: This transformation would not carry ABCD onto itself because it reflects the points across a horizontal line, not the point (3, 2).

B. Translation two units down: This transformation would not carry ABCD onto itself because it moves all points in the same direction, not rotating them.

C. Rotation of 90°: This transformation can carry ABCD onto itself with a point of rotation at (3, 2). A 90° rotation around (3, 2) would preserve the shape of ABCD.

D. Reflection across the line x = 3: This transformation would not carry ABCD onto itself because it reflects the points across a vertical line, not the point (3, 2).

Because ABCD may be carried onto itself with a point of rotation at (3, 2), the right response is C. Rotation of 90°.

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Answer:195

Step-by-step explanation:

516+489=1005

1200-1005=195

The result for the given 14 length bit string is-

(a) The bit strings of length 14 which have exactly three 0s is 2184.

(b) The bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The bit strings of length 14 which have at least three 1s is 4472832.

A bit-string would be a binary digit sequence (bits). The size of the value is the amount of bits contained in the sequence.

A null string is a bit-string with no length.

The concept used here is permutation;

ⁿPₓ = n!/(n-x)!

Where, n is the total samples.

x is the selected samples.

(a) Because there are exactly three 0s, its other digits have always been one, hence the total of permutations is equal to;

n = 14 and x = 3 digits.

¹⁴P₃ = 14!/(14-3)!

¹⁴P₃ = 2184.

Thus, the bit strings of length 14 which have exactly three 0s is 2184.

(b) Because it is a bit string with 14 digits and it can only have digits 0 or 1, we must choose 7 0s and the remaining 7 1s, hence the number possible permutations is equal to;

n = 14 and x = 7 digits.

¹⁴P₇ = 14!/(14-7)!

¹⁴P₇ = 17297280.

Thus, the bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The answer is identical to problem a, but the rest of a digits could be either 0 or 1, hence it must be doubled by 2¹¹ because there are 11 digits, each of which can be one of two options;

= 2184×2¹¹

= 4472832

Thus, he bit strings of length 14 which have at least three 1s is 4472832.

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The correct question is-

How many bit strings of length 14 have:

(a) Exactly three 0s?

(b) The same number of 0s as 1s?

(d) At least three 1s?

Answer:

3.39E17

Step-by-step explanation:

Answer:

3.3946481e17

Step-by-step explanation:

CAL - CU - LAT - OR = CALCULATOR

Answer:

8

Step-by-step explanation:

just take the numerator and thats how many

Answer:

B.. ..... .., .........

On expanding the given expression (-2a²b⁴)³ , we get -

- 8a⁶b¹²

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

(-2a²b⁴)³

On expanding the expression, we get -

(-2a²b⁴)³

- 8a⁶b¹²

The correct alternative is option [C] → - 8a⁶b¹²

Therefore, on expanding the given expression (-2a²b⁴)³ , we get -

- 8a⁶b¹²

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The diagonal of the screen is 43.6 cm, according to the question.

What do you mean by Diagonal of Rectangles?

A line segment connecting the rectangle's two opposed vertices is known as the diagonal. The rectangle is split into two identical right triangles by its diagonal.  

According to the given question,

We have the given information:

A television screen measures are

Width = 35 cm and High = 26 cm

The formula used to calculate the length of the diagonal of a rectangle is given by  d = √( length² + width²),

The Television screen will be in a Rectangle shape,

As we know Diagonal of a rectangle = √[width²+ Length²]  

=> Diagonal of screen = √[width²+ high²]  

= √[35²+ 26²]  

= √[1225+ 676]  

= √[1901]  

=  43.6

Therefore, the diagonal of the screen is 43.6 cm.

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The best central tendency measure to describe each data element depends on the data type. For the Length of Stay (LOS), the mean or median is commonly used as it represents the average or typical length of time.

The choice of central tendency measure depends on the data type and the specific characteristics of the data. For the Length of Stay (LOS), which is a quantitative continuous variable, the mean and median are commonly used. The mean provides the average length of time, which can be useful in understanding the overall central tendency. The median, on the other hand, represents the middle value of the dataset and is less affected by extreme values, making it suitable when the data is skewed or has outliers. For the Admission source, which is a categorical variable, the mode is the appropriate central tendency measure. The mode identifies the most frequently occurring source, providing insight into the predominant source of admissions. For Gender, which is a binary categorical variable, the mode can also be used. It determines the most common gender category, providing information on the predominant gender category observed in the data.

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SOLUTION

The polynomials expression given are

Expand the expression by distributing the parentheses

Simplify

Hence, the answer is

After reading several online reviews, it is evident that the sentiment value of individual words plays a significant role in shaping the overall review. Users express their opinions and experiences, often influenced by the emotions attached to specific words.

Online reviews are a common way for users to share their thoughts and experiences about products, services, or places. The sentiment value of individual words is crucial in conveying the overall opinion of the reviewer. Positive words like "excellent," "amazing," or "satisfied" indicate a positive sentiment and contribute to a favorable review. Conversely, negative words such as "terrible," "disappointing," or "poor" signify a negative sentiment and may lead to a negative review.

The sentiment value of words has the power to influence not only the reader's perception but also the overall rating of a product or service. Words with strong positive or negative connotations tend to have a more significant impact on the reader's interpretation of the review. Moreover, words with neutral sentiment, like "average" or "okay," may indicate a lukewarm response.

Understanding the sentiment value of individual words allows readers to gain insights into the reviewer's emotional experience and overall satisfaction level. Analyzing these sentiments helps businesses to identify areas of improvement and enhance their products or services based on customer feedback. Additionally, it assists potential consumers in making informed decisions by considering the sentiment conveyed through the words used in reviews.

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Answer:

21 miles which is b

Step-by-step explanation:

no other answer makes sense besides that one.

(a) The transformation L(x) = (x1, L2, 1)^T is not a linear transformation from ℝ² to ℝ³. In order for a transformation to be linear, it must satisfy two conditions: preservation of addition and preservation of scalar multiplication.

For preservation of addition, we need L(u + v) = L(u) + L(v) for any vectors u and v in ℝ². However, in this case, if we consider two vectors u = (u₁, u₂) and v = (v₁, v₂), the transformation L(u + v) would be (u₁ + v₁, L2, 1)^T, while L(u) + L(v) would be (u₁, L2, 1)^T + (v₁, L2, 1)^T = (u₁ + v₁, 2L2, 2)^T. Since 2L2 ≠ L2 and 2 ≠ 1, we can see that the preservation of addition condition is not satisfied.

Therefore, the transformation L(x) = (x1, L2, 1)^T is not a linear transformation.

(b) The transformation L(x) = (x₁, 0, 0)^T is a linear transformation from ℝ² to ℝ³. This transformation simply takes the x-coordinate of a vector in ℝ² and maps it to the x-coordinate of a vector in ℝ³, while setting the y and z coordinates to zero.

To verify the linearity of this transformation, we need to check the preservation of addition and preservation of scalar multiplication conditions. For any vectors u = (u₁, u₂) and v = (v₁, v₂) in ℝ², we have:

L(u + v) = (u₁ + v₁, 0, 0)^T = (u₁, 0, 0)^T + (v₁, 0, 0)^T = L(u) + L(v),

which shows the preservation of addition. Similarly, for any scalar c and vector u = (u₁, u₂) in ℝ², we have:

L(cu) = (cu₁, 0, 0)^T = c(u₁, 0, 0)^T = cL(u),

which demonstrates the preservation of scalar multiplication.

Therefore, the transformation L(x) = (x₁, 0, 0)^T is a linear transformation from ℝ² to ℝ³.

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