An angle is bisected by a segment forming two new angles find m

Answer:

-6x

check the attachment i provided

Step-by-step explanation:

\(-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x\)

Answer:

-6x

Step-by-step explanation:

All you have to do is subtract the constants, because the variable is going to be there always

Train A is traveling at 60 mph and Train B is traveling at 70 mph.

Let's call the speed of Train A "x" (in miles per hour).

Then we know that the speed of Train B is "x + 10" (since Train B travels 10 mph faster than Train A).

The two trains are moving in opposite directions, so the distance between them is increasing at the combined rate of their speeds. Therefore, we can use the formula:

distance = rate × time

For Train A, the distance traveled in 4 hours is:

distance A = x × 4 = 4x

For Train B, the distance traveled in 4 hours is:

distance B = (x + 10) × 4 = 4x + 40

The total distance between the two trains is given as 520 miles:

distance A + distance B = 520

Substituting in the expressions for distance A and distance B:

4x + (4x + 40) = 520

Simplifying and solving for x:

8x + 40 = 520

8x = 480

x = 60

So the speed of Train A is 60 mph. The speed of Train B is x + 10, or:

60 + 10 = 70 mph

Therefore, Train A is traveling at 60 mph and Train B is traveling at 70 mph.

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(a) The probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b)The probability that Jane watches the show, given that John does, is 0.3 or 3.

(c) Since these probabilities are equal, John and Jane watch the show independently of each other.

The answer is Yes.

John and Jane watch the show independently of each other if

(a) To find the probability that both John and Jane watch the show, we can use the conditional probability formula:

P(A and B) = P(A|B) * P(B),

where A represents John watching the show and B represents Jane watching the show.
Given, P(A|B) = 0.5 and P(B) = 0.3.
P(A and B) = 0.5 * 0.3 = 0.15.
Therefore, the probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b) To find the probability that Jane watches the show, given that John does, we can use the conditional probability formula: P(B|A) = P(A and B) / P(A).
Given, P(A and B) = 0.15 and P(A) = 0.5.
P(B|A) = 0.15 / 0.5 = 0.3.
Therefore, the probability that Jane watches the show, given that John does, is 0.3 or 30% (rounded to 3 decimal places).
(c) John and Jane watch the show independently of each other if P(A and B) = P(A) * P(B).

In this case, P(A and B) = 0.15 and P(A) * P(B) = 0.5 * 0.3 = 0.15.

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Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

An inequality is a mathematical statement that uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to compare two quantities. In real life, we can use inequalities to describe a wide range of situations. For example, let's say you are buying groceries and you have a budget of $50. You could use the inequality  total cost of groceries < $50 to describe your situation. This inequality states that the total cost of the groceries must be less than $50, or you will exceed your budget.

In another real life situation, let's say you are training for a race and you want to run a certain distance in a specific amount of time. You could use the inequality distance > speed × time to describe your goal. This inequality states that the distance you run must be greater than the product of your speed and the time it takes you to complete the race. Inequality statements can also be used in social science and economics. For example, we can use an inequality to describe the income distribution in a society. We could say that the top 10% of earners have an income greater than the bottom 90% of earners, using the inequality top 10% income > bottom 90% income.

In summary, inequalities can be used to describe real life situations by comparing two quantities using symbols such as <, >, ≤, or ≥. We can use inequalities to describe a wide range of situations, from grocery shopping to income distribution.

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The percent change from 2013 to 2014 is 26.19%

The percent change from 2014 to 2015 is -9.43%

From the information illustrated, the following can be deduced:

2013 42

2014 53

2015 48

The percent change from 2013 to 2014 will be:

= (53 - 42) / 42 × 100

= 11 / 42 × 100

= 26.19%

The percent change from 2014 to 2015 will be:

= (48 - 53) / 53 × 100

= -5 / 53 × 100

= -9.43%

In conclusion, the above illustrate the percentage change in the years.

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If Jina used three times as many pounds of Type B coffee as Type A, then the amount of Type A coffee used is 27 pounds.

Let the number of pounds of type A coffee used in the blend be denoted by "x",

The shop used 3times as many pounds of type-B coffee,

So, the number of pounds of type B coffee used in the blend is = 3x.

The total cost of the blend is given as $503.55, and

We know that the cost of "type A" coffee is $5.75 per pound, and the cost of "type B" coffee is $4.3 per pound.

So, we can write the following equation,

⇒ 5.75x + 4.3(3x) = 503.55

Simplifying and solving for x, we get:

⇒ 5.75x + 12.9x = 503.55

⇒ 18.65x = 503.55

⇒ x = 27

Therefore, Jina used 27 pounds of type A coffee in the blend.

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The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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Answer:

200 points

Step-by-step explanation:

1. Since 450 is a positive value, we have to add 450 to -250 to get the new total.

2. (Solving)

Therefore, Sam's new score is 200 points.

Answer: Is there a way you could get a less blurry image of the question so I may help?

Step-by-step explanation:

To get the best estimate of the square root of 90 we will apply a short cut.

Square root of 90 will be in the form of a mixed fraction as \(a\frac{b}{c}\) or in decimals.

Here, a = square root of a perfect square number nearest to 90.

b = Difference of 90 and the perfect square number

c = Double of 'a'

Nearest square number to 90 = 81

Square root of 81 = 9

So, a = 9

Difference in 90 and 81 = 9

So, b = 90 - 81 = 9

And double of 9 = 18

Therefore, c = 18

Hence, \(\sqrt{90}\approx9\frac{9}{18}\)

                    \(\approx9.5\)

So the nearest number given in the option may be 9.4

Therefore, Option B will be the answer.

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Answer:it would be the fourth one

Step-by-step explanation:

The sample size which is required for the maximum error of 0.03 mg and 90% confidence level is equal to approximately 307.

Confidence level = 90%

Maximum error = 0.03mg

To determine the sample size needed to estimate the nicotine content with a maximum error of £0.03 mg at a 90% confidence level,

Use the formula for sample size determination,

n = (Z × σ / E)²

Where,

n = required sample size

Z = Z-value for the desired confidence level (corresponding to a 90% confidence level, Z ≈ 1.645)

σ = standard deviation of the population ( 0.32 mg)

E = maximum error or margin of error ( £0.03 mg)

Plugging in the values, we have,

⇒n = (1.645 × 0.32 / 0.03)²

⇒n ≈ (0.5264 / 0.03)²

⇒n ≈ 17.5098²

⇒n ≈ 306.5

Rounding up to the nearest whole number, the required sample size is approximately 307.

Therefore, a sample size of at least 307 cigarettes would be needed to estimate the nicotine content with a maximum error of £0.03 mg at a 90% confidence level.

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Answer:

15 cm

Step-by-step explanation:

Use the definition of the area of a square:

\(A=s^2\)

Where s is the side of the square.

Replace the known value in:

\(225 cm^2=s^2\\15cm=s\)

Answer:

X^2 + 46x + 45 = (x + 1) (x + 45)

Step-by-step explanation:

Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 45 and whose sum is 46 .

1, 45

Write the factored form using these integers.

(x + 1) (x + 45)

I hope this helps.

Answer:

(x+1) (x+45)

Step-by-step explanation:

By using FOIL(Front Outer Inner Left) it should end up like this:

1. x2 + 46x + 1x + 45

2. x2 + 47x + 45

Ploidy level shifts between a pair of species (one diploid, one tetraploid) fit the "allopolyploid hybridization model" very well because it explains the origin of the diploid and tetraploid forms.

The allopolyploid hybridization model proposes that the tetraploid species originated from the hybridization between two different diploid species.

Specifically, the hybridization event resulted in a doubling of the chromosome number, creating a tetraploid individual with four copies of each chromosome.

This event is known as allopolyploidization.

The diploid species that served as the parents of the tetraploid species are not identical to either of the two tetraploid species.

Rather, they are thought to be extinct or still-existing diploid species that hybridized to produce the tetraploid offspring.

The allopolyploid hybridization model explains why the diploid and tetraploid species often have similar morphology and DNA sequences. The diploid parent of the tetraploid species contributes half of the genome, while the other half comes from the other diploid parent.

This hybridization event leads to a mix of the two parent genomes, resulting in a unique genome that can contribute to the formation of a new species.

Overall, the allopolyploid hybridization model provides a plausible explanation for the origin of tetraploid species, and it is supported by extensive genetic and morphological evidence.

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Answer:

12.1

Step-by-step explanation:

Answer:

9(x + 3)

Step-by-step explanation:

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Answer:

In feet it rounds to six, the exact number is 5.57742782

In inches it is about 67 but the exact number is 66.9291339

As a result, 170 cm equals around 5 feet and 6.93 inches.

Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example. A division in mathematics is the process of dividing a specified amount into equal pieces. For example, we can split a group of 20 people into four groups of five people each, or five groups of four people each, and so on. Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The primary purpose of splitting is to determine how many equal groups form.

Here,

To convert from cm to feet and inches, divide the number of centimeters by 2.54 to get the equivalent number of inches. Then, divide the number of inches by 12 to get the equivalent number of feet and inches.

170 cm = 170 / 2.54 = 66.93 inches

66.93 inches ÷ 12 = 5 feet 6.93 inches

So, 170 cm is equal to approximately 5 feet and 6.93 inches.

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Answer:

The slope is \(\frac{2}{5}\)

the y-intercept (0,-2)

the graph points is (5,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here u go

No, Billy will not be able to reach the border before the cops arrive in 9 minutes.

To determine whether Billy can reach the border before the cops arrive, we need to calculate the time it would take him to cover the distance of 1.9 km.

Using the formula speed = distance / time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed.

Given that Billy's speed is 13 km/h, we can calculate the time it would take him to cover 1.9 km.

time = 1.9 km / 13 km/h = 0.146 hours

To convert hours to minutes, we multiply by 60:

0.146 hours * 60 minutes/hour = 8.76 minutes

Therefore, it would take Billy approximately 8.76 minutes to reach the border. Since the cops are expected to arrive in 9 minutes, he would not be able to make it before they arrive.

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Answer:

240 cm

Step-by-step explanation:

8cm x 5cm x 6cm = 240 cm

Area = 240 cm

Answer:

it is now at 108

Step-by-step explanation:

10% of 120 is 12 120-12=108

Answer:

r=20

Step-by-step explanation:

r/20​​−5=−4

r/20​​=−4+5

r/20=1

r=1×20

r=20

Answer:

20

step by step

Given:

The number sentence for 4 and n

Required:

We have to find the given sentence

Explanation:

4 and N, simply means you mixed them up, you sum them up

your result is 9, 4+N=9

Required solution :

4+N=9

Answer:

n+6

Step-by-step explanation:

The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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