Find the surface area.
24 in.
40 in.
10 in.
26 in.

Step-by-step explanation:

[tex]x + 22 + 3x = 90[/tex]

[tex]4x = 9 0- 22 \\ 4x = 68 \\ x = 17[/tex]

M1

[tex]17 + 22 = 39[/tex]

M2

[tex]3 \times 17 = \\ = 51[/tex]

Step-by-step explanation:

Hi,

"To begin, I need to figure out how triangle ABC eventually got to triangle DEF. The first thing I noticed was orientation, the point was not facing the same direction, and right away I knew that there had to be some sort of flip. The triangle ABC was flipped across the y-axis. After that, I also noticed that the triangle was not in the same quadrant. Triangle ABC was in quadrant 2 while triangle DEF was in quadrant 1. So I knew that triangle ABC was translated 2 units down. Even though it looked like the triangle was somehow moved to the right, IT WAS NOT. Since it was flipped, all we had to do was move it 2 units down. That is how I knew that in order for triangle ABC to get to triangle DEF it was flipped and translated 2 units down."

I hope this helps :)

Answer:

it's 2.0

hope that helps

Answer:  A good estimation would be about 150.

Step-by-step explanation:

To estimate we can round instead of using exact numbers.

First day he saw about 30 birds and twice as many squirrels, meaning about 60 squirrels.  This is about 90 total when added together.

Second day he saw 20 birds and about 40 squirrels so about 60 when added together.

Add day one and day two totals for...

90+60=150

Answer: His house is 43.33334 kilometers

Answer:

Solution given:

we have

<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]

So

3x-13+ 2x+4=116°

5x-9=116°

5x=116°+9°

x=125/5

x=25

Now

<A=3×25-13=62°

<B=2×25+4=54°

Answer:

[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]

Answer:

80 %

Step-by-step explanation:

I hope this helps!!

a) The initial concentration of levofloxacin (represented by C(x)) in the bloodstream is higher than the initial concentration of metronidazole (represented by D(x))

b) There is no algebraic solution for when C(x) = D(x) in this situation.

c) The graph of (C+D)(x) would show a steeper increase and higher values compared to the individual graphs of C(x) and D(x), indicating a higher concentration of the drugs when taken together.

a) The initial concentration of a drug in the bloodstream can be determined by evaluating the functions C(x) and D(x) at x = 0. Plugging in x = 0 into both functions, we find that C(0) = 5log(0 + 1) + 10 = 5log(1) + 10 = 5(0) + 10 = 10, and D(0) = 10log(0 + 1) + 5 = 10log(1) + 5 = 10(0) + 5 = 5. Therefore, the initial concentration of levofloxacin (represented by C(x)) in the bloodstream is higher than the initial concentration of metronidazole (represented by D(x)).

b) To find when C(x) = D(x), we set the two functions equal to each other and solve for x: 5log(x + 1) + 10 = 10log(x + 1) + 5. Subtracting 10log(x + 1) from both sides, we get 5log(x + 1) - 10log(x + 1) = 5. Simplifying, we have -5log(x + 1) = 5. Dividing by -5, we find log(x + 1) = -1. This equation can be rewritten in exponential form as 10^(-1) = x + 1, which simplifies to 0.1 = x + 1. Subtracting 1 from both sides, we get x = -0.9. However, since time cannot be negative, there is no solution to the equation. Therefore, there is no algebraic solution for when C(x) = D(x) in this situation.

c) The graph of (C+D)(x) would represent the combined concentration levels of both antibiotics when taken together. It would differ from the individual graphs of C(x) and D(x) by showing a higher overall concentration. Since (C+D)(x) is the sum of the two individual functions, the resulting graph would be the sum of their concentrations at each point in time. This means that at any given time, the concentration of the combined antibiotics would be the sum of the concentrations of levofloxacin and metronidazole at that time. The graph of (C+D)(x) would show a steeper increase and higher values compared to the individual graphs of C(x) and D(x), indicating a higher concentration of the drugs when taken together.

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Answer:

B

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

add them all together and then divide by 5

A. x and y are both within the same solar system.

7.2 light years= 455336 AU

1. y= -5

2. m=0

3. I dont know

1. 3x+4y=-20

x=0

3×0+4y=-20

0+4y=-20

y=-5

2. m=y/x

m=0/1

m= 0

3. Sorry

Linear programming can be used to identify the critical path for a PERT network.

True.Linear programming can be used to identify the critical path for a PERT network. This statement is true.Linear programming is a mathematical technique that is used for optimizing an objective function, subject to a set of constraints. It can be used to solve problems that involve finding the best outcome among a set of linear constraints. Linear programming has applications in various fields such as economics, engineering, management science, and others. PERT is a project management technique that is used to schedule, organize, and coordinate tasks within a project. It helps in identifying the critical path, which is the sequence of tasks that determines the total duration of the project. Linear programming can be used to identify the critical path for a PERT network by formulating the problem as an optimization problem. By minimizing the duration of the critical path, we can find the optimal solution for the project.

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Answer:

The degree of the term is 5

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In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. The length of the arc is given by the formula L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the measure of the central angle in radians.

An arc is a portion of the circumference of a circle. Substituting the given values, we have L = 3 * (2π/3) = 2π ft. Therefore, the length of the arc is 2π ft. The length of an arc can be calculated using the formula L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the measure of the central angle in radians. In this case, the radius of the circle is 3 ft and the central angle is 2π/3 radians, so the length of the arc is 2π ft.

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The values 93, 87 and 4 are cardinal , ordinal and nominal numbers respectively

The value 93 is a cardinal number as it represents a specific number, in this case the student's test score.

The value 87 is an ordinal number as It represents the student's identification number, which indicates their place in a sequence.

The value 4 is a nominal number as It represents the test number, which is a label or name for something.

In general, cardinal numbers are used to count things, ordinal numbers are used to rank things, and nominal numbers are used to identify things.

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The mode of the distribution is 11, the median is 7, the mean is 8, and the range is 6. The measure of central tendency that would change the most if an additional test score of 2 were included is the median.

Mode: The mode is the value(s) that appear(s) most frequently in a distribution. In this case, the mode is 11, as it appears twice, while the other scores appear only once.

Median: To find the median, we arrange the scores in ascending order: 5, 6, 7, 11, 11. Since there are an odd number of scores, the median is the middle value, which is 7.

Mean: The mean is calculated by summing all the scores and dividing by the total number of scores. Adding the given scores, we get 7 + 11 + 5 + 6 + 11 = 40. Dividing by the total number of scores (5), the mean is 40/5 = 8.

Range: The range is the difference between the highest and lowest values in a distribution. In this case, the lowest score is 5 and the highest score is 11, so the range is 11 - 5 = 6.

If an additional test score of 2 were included in the distribution, the measure of central tendency that would change the most is the mean. Adding the score of 2 would decrease the overall average because 2 is significantly lower than the other scores. Since the mean is affected by the magnitude of each score, the addition of a low value like 2 would have a larger impact on the mean compared to the mode or median, which are based on the frequency or position of the scores rather than their actual values.

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The power of matrix A can be calculated by repeatedly multiplying the matrix by itself. For the given matrix A = [1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1], we have A^16 = [1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1].

To find A^16, we need to multiply the matrix A by itself 16 times. However, we can observe a pattern in the matrix: the entries in the matrix alternate between 1 and -1, with zeros everywhere else.

Since the entries in the matrix A alternate with a period of 4, we can see that A^4 will yield the same pattern. Therefore, we can rewrite A^16 as (A^4)^4.

Calculating A^4:

A^4 = [1 0 0 0] * [1 0 0 0] * [1 0 0 0] * [1 0 0 0]

    = [1 0 0 0] = [1 0 0 0]

      [0 0 1 0]   [0 0 1 0]

      [0 1 0 0]   [0 1 0 0]

      [0 0 0 -1]  [0 0 0 -1]

Now, calculating (A^4)^4:

(A^4)^4 = [1 0 0 0] * [1 0 0 0] * [1 0 0 0] * [1 0 0 0]

          [0 0 1 0]   [0 0 1 0]   [0 0 1 0]   [0 0 1 0]

          [0 1 0 0]   [0 1 0 0]   [0 1 0 0]   [0 1 0 0]

          [0 0 0 -1]  [0 0 0 -1]  [0 0 0 -1]  [0 0 0 -1]

Simplifying the calculations, we get:

(A^4)^4 = [1 0 0 0]

          [0 0 1 0]

          [0 1 0 0]

          [0 0 0 -1]

Therefore, A^16 is equal to [1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1].

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Answer:

About $9360

Step-by-step explanation:

There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.

I hope this is helpful ^^

The P-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that the medication is effective in lowering blood pressure.

The null hypothesis is that the medication has no effect on blood pressure. The alternative hypothesis is that the medication lowers blood pressure.

The test statistic is the paired t-test. This is because we have two samples of data that are paired together, namely the blood pressure measurements before and after taking the medication.

In this case, the P-value is 0.034. Since the P-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that the medication is effective in lowering blood pressure. The medication is effective in lowering blood pressure.

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Answer:

x+65°=120°[by alternate interior angle]

x=120°-65°

x=55°

The probability that the random variable described by the continuous probability distribution f(x) = 0.05x will take on a value greater than 2 is 0.6.

To calculate this probability, we need to find the area under the probability density function (PDF) curve for values greater than 2. Since the given PDF is in the form f(x) = 0.05x, we can integrate this function from 2 to infinity to find the desired probability.

∫[2, ∞] 0.05x dx

Integrating this function, we get:

[0.05 * (x^2)/2] evaluated from 2 to ∞

Simplifying further, we have:

(0.05/2) * (∞^2 - 2^2)

Since we are evaluating the integral from 2 to infinity, the upper limit (∞) will tend to infinity, making the difference (∞^2 - 2^2) also approach infinity.

As a result, the value (∞^2 - 2^2) is essentially infinity, which means the entire expression becomes:

(0.05/2) * ∞

Since infinity is not a well-defined value, we say that this probability is equal to 1, which corresponds to 100% probability. Therefore, the probability that the random variable will take on a value greater than 2 is 1 or 100%.

However, it seems there might be a typo in the given probability distribution function f(x) = 0.05x55. If it was intended to be f(x) = 0.05 * x^55 (raising x to the power of 55), then the probability would be different, and we would need to recalculate it based on the corrected function.

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Answer:

I need length, width, and height to find the volume, the equation is LxWxH

So it would be L x W x 1 3/4

Step-by-step explanation:

If you comment what the length and width is ill do it!

Answer:

The answer is 352 cubic units

The integral ſ sin(x - 2) dx is transformed into L 9(t)dt an appropriate change of variable g(t) = -cos(t) + C.

To transform the integral of ſ sin(x - 2) dx into L 9(t)dt by applying an appropriate change of variable,

t = x - 2

To find the limits of integration, to determine the new values of x when t takes its limits.

When t = a (lower limit),

t = x - 2

a = x - 2

x = a + 2

When t = b (upper limit),

t = x - 2

b = x - 2

x = b + 2

express the integral in terms of t:

∫ ſ sin(x - 2) dx = ∫ ſ sin(t) dt

The integral has been transformed into L 9(t)dt.

To determine the function g(t), integrate sin(t) with respect to t:

∫ sin(t) dt = -cos(t) + C

where C is the constant of integration.

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Complete question:

The integral ſ sin(x - 2) dx is transformed into L 9(t)dt by applying an appropriate change of variable, then g(t) is: g(t) = sin )= g(t) = cos .This option This option g(t) = cos (3) g(t) = sin. This option

A)g(t)= -cos(t)+C

B)g(t)=cos(t)+C

C)g(t)=cos(t)-C

D)g(t)=cos(t-2)-C

Answer:

is it 160167

Step-by-step explanation:

hope i helped out

Answer:

Step-by-step explanation:

The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven

What are you going to pair these primes with

11 13 17 19

So they must be added (or maybe subtracted).

1 19

2 18

3 17

4 16

5 15

6 14

7 13

8 12

9 11

and 20 which no matter how you do this, there will be 1 card left over.

Each of them adds to 20 so the LCM is 20