Simplify.

(x+5)+(4x-7)



5x+12


5x-2


5x+2


4x+2

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

The SAS states that two triangles that have two pairs of corresponding congruent sides and a pair of corresponding included congruent angles are congruent.

The RHS congruence criterion states that two right triangles that have a congruent pair of hypotenuses and a congruent pair of corresponding sides are congruent.

The SAS congruence criterion is a postulate that shows that if two triangles have two pairs of corresponding congruent sides and a pair of corresponding included congruent angles, then both triangles are equal or congruent to each other.

What is the RHS Congruence Criterion?

The RHS stands for "right angle-hypotenuse-side". This congruence criterion states if two right triangles have congruence hypotenuses and a pair of corresponding congruent sides, then the two right triangles congruent to each other.

In summary, SAS congruence criterion proves that two triangles with two pairs of corresponding congruent sides and a pair of corresponding included congruent angles are congruent, while the RHS congruence criterion proves that two right triangles are congruent if they have equal pair of hypotenuses and a congruent pair of corresponding sides.

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Rounding to the nearest year, the estimated age of the prehistoric cave paintings is approximately 9445 years.

To estimate the age of the prehistoric cave paintings in France, we'll use the exponential decay model for carbon-14 given by the equation

A = A₀\(e^(-0.000121t),\)

where A is the remaining amount of carbon-14, A₀ is the original amount of carbon-14, and t is the age in years.
We are given that the paint contains 35% of the original carbon-14, which means A = 0.35A₀.

We will now plug this into the exponential decay equation:
0.35A₀ = A₀\(e^(-0.000121t)\)
Now, we'll divide both sides by A₀:
\(0.35 = e^(-0.000121t)\)
To solve for t, we'll take the natural logarithm (ln) of both sides:
\(ln(0.35) = ln(e^(-0.000121t))\)
Using the property of logarithms that\(ln(e^x) = x\), we have:
ln(0.35) = -0.000121t
Now, we'll divide by -0.000121 to solve for t:
t = ln(0.35) / -0.000121
Using a calculator, we get:
t ≈ 9444.77.

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The probability of 4 out of 20 Americans being satisfied with the way things are going in the United States is 0.204. The probability of at least 2 being satisfied is 0.999. The expected number of satisfied Americans is 10, with a variance of 5 and a standard deviation of 2.24.

a. Using the binomial distribution, the probability that exactly 4 of the 20 Americans surveyed are satisfied with the way things are going in the United States is:

P(X = 4) = (20 choose 4) * (0.5)⁴ * (0.5)¹⁶ = 0.204

b. To compute the probability that at least 2 of the Americans surveyed are satisfied with the way things are going in the United States, we can use the complement rule:

P(X ≥ 2) = 1 - P(X < 2)

Using the binomial distribution, we get:

P(X < 2) = P(X = 0) + P(X = 1) = (20 choose 0) * (0.5)⁰ * (0.5)²⁰ + (20 choose 1) * (0.5)¹ * (0.5)¹⁹ = 0.00098

Therefore,

P(X ≥ 2) = 1 - P(X < 2) = 1 - 0.00098 = 0.999

c. The expected number of Americans who are satisfied with the way things are going in the United States is:

E(X) = n * p = 20 * 0.5 = 10

d. The variance of the number of Americans who are satisfied with the way things are going in the United States is:

Var(X) = n * p * (1 - p) = 20 * 0.5 * 0.5 = 5

The standard deviation of the number of Americans who are satisfied with the way things are going in the United States is:

SD(X) = √(Var(X)) = √(5) ≈ 2.24

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The transitive closure by arithmetic operations on the adjacency matrix is  Compute A⁰ + A¹ + ... + A⁽ⁿ⁻¹⁾ where + is standard addition (integers)

The transitive closure of a graph is the set of all possible paths from one vertex to another in the graph.

The best method to determine the transitive closure by arithmetic operations on the adjacency matrix is C.

Compute

=> A⁰ + A¹ + ... + A⁽ⁿ⁻¹⁾

where + is standard addition (integers).

The standard addition of integers is used because we are counting the number of paths between each vertex.

In this method, we start by computing A⁰, which is simply the adjacency matrix itself.

A¹ gives us the number of paths between each vertex that are one step long. A² gives us the number of paths between each vertex that are two steps long, and so on. We continue this process until we have computed

=> A⁽ⁿ⁻¹⁾

where n is the number of vertices in the graph.

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

the answer is 3^5 because multiplication is done by adding the carriers

Answer:

x = 5

Step-by-step explanation:

Rewrite the equation

3^x+2=2187

perform prime factorization of the right side

2187=3^7

3^x+2 = 3^7

equate the exponents of 3 on both sides

x+2 = 7

solve for x

x=5

Answer:

Either b or e

Step-by-step explanation:

Answer:

C and E for sure and then it's either B or D. hope this helps lol

The angle between a tangent and a radius is 90°. ... Tangents which meet at the same point are equal in length.

yhu aint funni fym im frum da h00d cri.pppp

For (a)  the probability that a person with brown hair also has brown eyes is 37.5%.

Let's calculate the probabilities directly:

Given:

P(Brown Hair) = 40% = 0.4

P(Brown Eyes) = 25% = 0.25

P(Brown Hair and Brown Eyes) = 15% = 0.15

a. Probability that a person with brown hair also has brown eyes:

We want to find P(Brown Eyes | Brown Hair), the probability that a person has brown eyes given that they have brown hair.

Using the formula for conditional probability:

P(Brown Eyes | Brown Hair) = P(Brown Hair and Brown Eyes) / P(Brown Hair)

P(Brown Eyes | Brown Hair) = 0.15 / 0.4 = 0.375 = 37.5%

Therefore, the probability that a person with brown hair also has brown eyes is 37.5%.

b. Probability that a person with brown eyes does not have brown hair:

We want to find P(Not Brown Hair | Brown Eyes), the probability that a person does not have brown hair given that they have brown eyes.

Using the formula for conditional probability:

P(Not Brown Hair | Brown Eyes) = P(Brown Eyes and Not Brown Hair) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (P(Brown Eyes) - P(Brown Hair and Brown Eyes)) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (0.25 - 0.15) / 0.25 = 0.10 = 10%

Therefore, the probability that a person with brown eyes does not have brown hair is 10%.

c. Probability that the person has neither brown eyes nor brown hair:

We want to find the probability that a person has neither brown eyes nor brown hair.

P(Neither) = 1 - P(Brown Hair) - P(Brown Eyes) + P(Brown Hair and Brown Eyes)

P(Neither) = 1 - 0.4 - 0.25 + 0.15 = 0.5 = 50%

Therefore, the probability that the person has neither brown eyes nor brown hair is 50%.

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Answer:

(6, -2)

Step-by-step explanation:

The only option that satisfies both equations is (6, -2).

The value of x in the equation 1/4(4 + x) = 4/3 is x = 4/3.

Multiply both sides of the equation by 4 to eliminate the fraction on the left-hand side:

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

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

Simplifying:

4 + x = 16/3

Subtract 4 from both sides of the equation:

4 + x - 4 = 16/3 - 4

Simplifying:

x = 16/3 - 12/3

x = 4/3

A fraction is a mathematical concept used to represent a part of a whole or a ratio between two quantities. It is typically written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line. For example, the fraction 1/2 represents one out of two equal parts, or half of a whole. Similarly, the fraction 3/4 represents three out of four equal parts, or three-quarters of a whole.

Fractions are an essential part of mathematics and are used in a wide range of applications, including measurements, cooking, and financial calculations. They can be added, subtracted, multiplied, and divided just like whole numbers, but they require a bit more care in their manipulation due to their unique structure.

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The cumulative probability of obtaining a sample result will be approximately 0.0001

We have to apply Formula of Binomial Distribution:

P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success

We assume that company's claim is true, 0.8 is the probability of success for each trial

P(X = i) = (200 choose i)×\(0.8^{i}\) ×\(0.2^{200- i}\)

By using this, we can easily find that cumulative probability is 0.0001

So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect

So, further analysis may be needed to draw some conclusions and results

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The ball will take 1.15 seconds to hit the floor.

It is given that,

A juggler is performing her act using several balls. The height as a function of time is given by :

\(h(t) =-16t^{2} + vt +s\).............(1)

where,

v is the speed of the ball

s is initial height

t is time taken

Putting h(t) = 0 and solving equation (1)

\(-16t^{2} + vt +s = 0\)

\(-16t^{2} + 15t +4 = 0\)

On solving above equation using graphing calculator and solving for t we get, t = 1.154 second.

Hence, the correct option is (b) " 1.15 seconds ".

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The total number of acres planted for the optimal solution is not provided in the given information.

The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.

The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.

I can help explain the general approach to answering the questions you mentioned.

To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.

Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.

SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.

Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The value of length of AC is,

⇒ AC = 8.25

We have to given that;

CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm

Now, We can formulate;

BC / AC = EC / CD

Substitute the values we get;

5.25 / AC = 4.2 / 6.6

Solve for AC;

5.25 x 6.6 / 4.2 = AC

AC = 8.25

Thus, The value of length of AC is,

⇒ AC = 8.25

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Temperature for 104 chirps/minT = (N - 40) / 4 + 50T = (104 - 40) / 4 + 50T = 64°FTemperature for 176 chirps/minT = (N - 40) / 4 + 50T = (176 - 40) / 4 + 50T = 80°FHence, the outside temperature for 104 chirps/min is 64°F and the outside temperature for 176 chirps/min is 80°F.

The relationship between the temperature and chirp rate of crickets is a fascinating one. It can help you determine the outside temperature, which can be extremely helpful. The number of chirps per minute of a cricket changes with the change in temperature. This relationship was discovered by George Dolbear in the year 1897. He noticed that the crickets were chirping faster on a hot day than on a cooler day. He then established a formula that would help one determine the outside temperature by counting the number of chirps a cricket makes in a minute.The formula that can be used to find out the temperature is given below:T = (N - 40) / 4 + 50where T represents the temperature in degrees Fahrenheit and N represents the number of chirps per minute.

Using the formula and the given information, we can determine the temperature as follows:Temperature for 104 chirps/minT = (N - 40) / 4 + 50T = (104 - 40) / 4 + 50T = 64°F Temperature for 176 chirps/minT = (N - 40) / 4 + 50T = (176 - 40) / 4 + 50T = 80°FHence, the outside temperature for 104 chirps/min is 64°F and the outside temperature for 176 chirps/min is 80°F.

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Answer:

volume of the sphere

=4/3π × r³

=4/3π × 3 × 3 × 3

=4/3π × 27

=36π ( c )

The value of volume of the sphere shown with a radius of 3 is,

⇒ 36π units³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, We know that;

volume of the sphere is,

V = 4/3π × r³

Here, We have;

r = 3

Hence, We get;

V = 4/3π × 3 × 3 × 3

= 4/3π × 27

=36π

Thus, The value of volume of the sphere shown with a radius of 3 is,

⇒ 36π units³

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The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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The 90% confidence interval is (0.544, 0.612).

a) Find the best point estimate of the population proportion p.Point estimate of the population proportion p is given by the formula: $$\hat p = \frac{x}{n}$$Where n = 979 and x = 566$$\hat p = \frac{x}{n}$$$$\hat p = \frac{566}{979}$$$$\hat p = 0.578$$Therefore, the best point estimate of the population proportion p is 0.578. b) Identify the value of the margin of error E. Margin of error E can be calculated using the following formula: $$E=z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Given that the confidence level is 90%, the corresponding z-score can be calculated from the table of z-scores.$$z^*=1.65$$Where n = 979, $\hat p = 0.578$.$$E=z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Substituting the values,$$E=1.65*\sqrt{\frac{0.578(1-0.578)}{979}}$$$$E=0.034$$Therefore, the value of the margin of error E is 0.034. c) Construct the confidence interval.

Confidence interval for a population proportion p can be calculated as follows:$$\left(\hat p - E,\; \hat p + E\right)$$Substituting the values,$$\left(0.578 - 0.034,\; 0.578 + 0.034\right)$$$$\left(0.544,\; 0.612\right)$$Therefore, the 90% confidence interval is (0.544, 0.612).

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Answer:

-11

Step-by-step explanation:

a=2, b=-1, and c=3

We need to find out b²-2ac

(-1)²-2(2)(3)=1-2(6)=1-12=-11

The required expression is given by 179.2 - 10.6d.

There were 179.2 gallons of water in the barrel and 10.6 gallons are used each day

Volume, is defined as the ratio of the mass of object to its density.

the volume of water in a rain barrel after "d"days
When there were 179.2 gallons of water in the barrel and 10.6 gallons are used each day.

since the amount of water is getting consumed day by day
therefore, the expression can be given as
  =  179.2 - 10.6d

Thus, the required expression is 179.2 - 10.6d.

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Answer:

see attached

Step-by-step explanation:

Answer:

step one- jhsbdfkjsbflkaf

step 2- jhsdbfuuue  ksdjbaidbwe sdb

step 3- iirnsebfkrntls eoubeb wel wkejba

Step-by-step explanation:

hope that helped!!

The given systematic block code consists of four parity-check equations: p1 = n1 ⊕ n2 ⊕ m, p2 = n1 ⊕ n3 ⊕ m, p3 = n1 ⊕ n2 ⊕ n3, and p4 = n2 ⊕ n3 ⊕ n4.

A systematic block code is a type of error-correcting code where the original message bits are preserved as part of the encoded codeword. In this case, the parity-check equations are used to calculate the parity bits (p1, p2, p3, p4) based on the original message bits (n1, n2, n3, n4) and an additional bit (m).

The equations indicate that each parity bit is formed by performing an XOR (⊕) operation on specific combinations of message bits and the additional bit. The specific combinations are determined by the indices mentioned in the equations. For example, p1 is calculated by XORing n1, n2, and m.

These parity-check equations allow for error detection and correction. By comparing the calculated parity bits with the received parity bits, errors can be detected and potentially corrected based on the redundancy introduced by the parity bits.

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Answer:

1. reduction

2.  scale factor of 1/2

Step-by-step explanation:

1. the second image is smaller than the original

2. 18*1/2= 9 and 6*1/2=3