Explain how you know that segment DE is not parallel to segment BC. (Look at the picture)

Step-by-step explanation:

(-3,-2) is the answer friend.....

Answer:

The length of XY is 32

Step-by-step explanation:

Notice that you have a bisector segment (that divides the segment XY  into two equal parts.

since these parts are equal, they must satisfy:

3 x + 1 = 8 x - 24

so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:

1 + 24 = 8 x - 3 x

25 = 5 x

then x = 25/5 = 5

then,now you can find the length of XY as the addition of both parts:

3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32

Step-by-step explanation:

To calculate the minimum number of days required to finish this project, we need to use the critical path method (CPM), which involves identifying the longest sequence of dependent tasks and their durations.

First, we need to draw the network diagram for the project:

```

|---(T1-8)---(T3-10)---|

(T2-6) (T5-12)

| / |

|---(T4-7)---(T6-15)---|

```

Next, we need to calculate the earliest start time (EST), earliest finish time (EFT), latest start time (LST), and latest finish time (LFT) for each task. For the starting task, EST = 0 and EFT = 0.

```

EST EFT LST LFT

T1 (8 days) 0 8 22 30

T2 (6 days) 0 6 6 12

T3 (10 days) 8 18 22 32

T4 (7 days) 18 25 25 32

T5 (12 days) 18 30 32 44

T6 (15 days) 32 47 32 47

```

The critical path is the longest sequence of dependent tasks that have no slack (i.e., the difference between LST and EST, or LFT and EFT, is zero). In this case, the critical path is T1-T3-T5-T6.

Therefore, the minimum number of days to finish this project is the sum of the durations of tasks on the critical path:

8 + 10 + 12 + 15 = 45 days

Therefore, the minimum number of days required to finish this project is 45 days.

To show that `(n + 3)7 ∈ Θ(n7)`, we need to prove that `(n + 3)7 = Θ(n7)`.This can be done by showing that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)` .Now, let's prove the two parts separately:

Proof for `(n + 3)7 = O(n7)`.

We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≤ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≤ n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + n7
≤ 2n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6
≤ 2n7 + 84n6 + 441n5 + 2205n4 + 10395n3 + 45045n2 + 153609n + 729
```Thus, we can take `c = 153610` and `k = 1` to satisfy the definition of big-Oh notation. Hence, `(n + 3)7 = O(n7)`.Proof for `(n + 3)7 = Ω(n7)`We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≥ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≥ n7
```Thus, we can take `c = 1` and `k = 1` to satisfy the definition of big-Omega notation. Hence, `(n + 3)7 = Ω(n7)`.

As we have proved that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)`, therefore `(n + 3)7 = Θ(n7)`.Thus, we have shown that `(n + 3)7 ∈ Θ(n7)`.From the proof, we can see that we used the Binomial theorem to expand `(n + 3)7` and used algebraic manipulation to bound it from above and below with suitable constants. This technique can be used to prove the time complexity of various algorithms, where we have to find the tightest possible upper and lower bounds on the number of operations performed by the algorithm.

Hence, we have shown that `(n + 3)7 ∈ Θ(n7)` for non-negative integer n.

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Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

Feldman investigated how the rate of bar pressing by rats was affected by the type of injection they received, with two levels (saline and drug).

a. The dependent variable in this study is the rate of bar pressing by rats.

b. The independent variable in this study is the type of injection administered to the rats (saline-injection condition vs. drug-injection condition).

c. The independent variable has two levels: saline-injection condition and drug-injection condition.

d. A controlled extraneous variable in this study could be the environment in which the rats were tested. Since only one Skinner box was used and the same assistant handled all the animals, it suggests that the environment and handling conditions were kept constant to minimize their potential influence on the dependent variable.

a. Dependent variable: Rate of bar pressing by rats.

b. Independent variable: Type of injection administered.

c. Levels of the independent variable: Saline-injection condition and drug-injection condition.

d. Controlled extraneous variable: Environment and handling conditions.

Feldman investigated how the rate of bar pressing by rats was affected by the type of injection they received, with two levels (saline and drug). The study controlled for extraneous variables such as the environment and handling conditions.

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Answer:

y = 2x + 5

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

y = 2x + b         Insert Slope

Step 3:

5 = 2 ( 0 ) + b         Input x and y values

Step 4:

5 = b           Multiply

Answer:

y = 2x + 5        

Hope This Helps :)

Answer: x=4

Step-by-step explanation:

multiply each side by the denominator to cancel out the fraction so the new equation is 16=4x then divide by 4 to eliminate the x and 16 divided by 4 is 4 which is the anwser.

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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Answer:

I dont now what is that?????

111.51 is the probability of the random sample of 15 people that 4 of them are left-handed.

P(exactly x out of n) = (n! ÷ (x! × (n - x)!)) × \(p^{x}\) × \((1 - p)^{n - x}\).

where n = number of trials = 15.

p = probability of selecting one lefty in one trial = 10% or 0.1

x = probability which needs to be deduced = 4.

P(exactly 4 out of 10) = (10! ÷ (4! × (10 - 4)!)) × \(1^{4}\) × \((1 - 0.1)^{10 - 4}\).

P(exactly 4 out of 10) = (10! ÷ (4! × 6!)) × \(1^{4}\) × \((0.9)^{6}\).

P(exactly 4 out of 10) = 210 × \(1^{4}\) × \((0.9)^{6}\).

P(exactly 4 out of 10) = 210 × 1 ×0.531

P(exactly 4 out of 10) = 111.51

The probability that 4 of them are left-handed is 111.51.

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Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

\((y-k)=n(x-h)^2\)

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

\(\dfrac{1}{n}(y-k)=(x-h)^2\)

\(p(y-k)=(x-h)^2\)

where \(p=\dfrac{1}{n}\), the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, \(|-0.5|=0.5\)

For option B, \(|5|=5\)

For option C, \(|8|=8\)

For option D, \(|-10|=10\)

Since, the equation is option A has smallest value of |p|, therefore, the equation \((x+2)^2=-0.5(y+3)\) represents the steepest parabola.

Hence, the correct option is A.

For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

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AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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Answer:

the correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools.

O pool cleaning is a service that is provided by this business to its customers.

The correct option is C. The team that installs the new pools.

Business-to-consumer (B2C) refers to the process of selling goods and services directly between an organization and the customers who will ultimately use them. The majority of businesses that sell directly to customers are referred to as B2C businesses.

The correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools. Pool cleaning is a service that is provided by this business to its customers.

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The domain of f/g(x) is given by B. {x ∈ ℝ | x ≠ -2, -3, 3}The correct option is B. {x ∈ ℝ | x ≠ -2, -3, 3}, which represents the real numbers excluding -2, -3, and 3.

To find the domain of f/g(x), we need to consider the values of x for which the denominator g(x) is non-zero. Division by zero is undefined in mathematics, so we exclude any values of x that make the denominator zero.

The denominator g(x) = x^3 + 2x^2 - 9x - 18 can be factored as follows:

g(x) = (x - 3)(x + 2)(x + 3)

To determine the values of x that make the denominator zero, we set each factor equal to zero and solve for x:

x - 3 = 0 => x = 3

x + 2 = 0 => x = -2

x + 3 = 0 => x = -3

Therefore, the values x = -2, x = -3, and x = 3 make the denominator zero.

To find the domain of f/g(x), we exclude these values from the domain of f(x). Hence, the domain of f/g(x) is given by:

{x ∈ ℝ | x ≠ -2, -3, 3}

Therefore, the correct option is B. {x ∈ ℝ | x ≠ -2, -3, 3}, which represents the real numbers excluding -2, -3, and 3.

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Answer: False

Step-by-step explanation:

The simple interest is given as PRT/100, thus the simple percent interest per year is 1%.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year.

As per the given,

Investment = $70

Investment after one year is $70.70

Interset = 70.70 - 70 = $0.70

The interest is given as = PRT/100

0.70 = PR(1)/100

R = (0.70×100)/70

R = 1%

Hence, "The simple interest is given as PRT/100, thus the simple percent interest per year is 1%".

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Answer: -1/2

Step-by-step explanation:

See attached

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

y=6x-3

Step-by-step explanation:

6 is the slope bur (0,-3) is the y-intercept. Therefore, you just need to plug in the y-intercept and slope into y=mx+b which will give you y=6x-3.

huh? pls explain more in comments

To calculate the width of the loss cone at a radius of 25,000 km, we can use trigonometry by taking the arctangent of the ratio of the width to the radius.



The loss cone is a concept used in plasma physics to describe the region of particles' pitch angles that are vulnerable to being lost or escaping from a confined plasma system. The width of the loss cone can be calculated using trigonometry.At a given radius of \( 25,000 \) km, we can consider a line connecting the center of the system to the point on the loss cone. This line represents the magnetic field line. The width of the loss cone can be determined by the angle formed between this line and the tangent to the loss cone.

To calculate this angle, we need the radius of the system, which is \( 25,000 \) km. Assuming a spherical system, we can consider the tangent to the loss cone as a line perpendicular to the radius. In this case, we have a right triangle where the radius is the hypotenuse.Using basic trigonometry, we can determine the angle by taking the inverse tangent of the ratio of the width of the loss cone (opposite side) to the radius (hypotenuse). The width of the loss cone will be the arctangent of the ratio.



Therefore, To calculate the width of the loss cone at a radius of 25,000 km, we can use trigonometry by taking the arctangent of the ratio of the width to the radius.

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Answer:

379-68=p

Step-by-step explanation:

379 is the total number of tissues. If you take away the single pack tissues then you will have the amount of three pack tissues

The correct equation that shows the number of tissue three-packs, p, Johnson's sold in January is, p = 379 - 68.

Use the concept of subtraction defined as:

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that,

At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes.

Here, During January, Johnson's sells a total of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs.

Let us assume that, the number of tissue three-packs = p

Hence we get;

p = 379 - 68

p = 311

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Confidence interval for the true mean weight is (964, 1043.8)

P-value= 0.5836≥0.5 then conclude that null hypothesis is rejected.

What is null hypothesis?

The assertion that there is no link between the two sets of data or variables under investigation is known as the null hypothesis. The word "null" refers to the idea that any empirically observed difference is entirely attributable to chance and that no underlying causal link exists.

Given,

Data= 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064

n=12

Mean = sum(x)/n=sum(x)/12= 12047/12= 1003.9167

We get the standard deviation from the given data by using formula

Std. deviation= 62.7976

C=95%= 0.95

α= 1-0.95=0.05

Critical value= 2.201

The 95% confidence interval for the true mean value is=

=(1003.9167±2.201*62.7976/√12)

= (1003.9167±39.9)

= (964, 1043.8)

2)The null and alternative hypothesis,

H0:μ=1000

Hα: μ<1000

The statistic is (t)= (1003.9167-1000)/ 62.7976/√12

=0.216

The P-value from online calculator

P-value= 0.5836≥0.5

Then conclude that null hypothesis is rejected.

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Answer:

x-2>-3

x>-3+2

x<-1

Step-by-step explanation:

qhen you get this type of question remove the bracket from there and write x-2>-3 after that you will move -2 to -3 so when you move it the symbol negative will change to positive the you will subtract positive 2 from the -3 and your answer will be x<-1

To calculate Randy Burgarner's social security tax withholding, we first need to determine his gross monthly salary. Randy's total earnings to date are $14,400.00. Since we know that his gross monthly salary is $3,600.00, we can divide the total earnings by the number of months worked.

Social security tax withholding is $223.20 and medicare tax withholding for Randy Burgarner is $52.20. The solution to this problem is explained as under.

Total earnings to date: $14,400.00
Gross monthly salary: $3,600.00
Months worked = Total earnings to date ÷ Gross monthly salary
Months worked = $14,400.00 ÷ $3,600.00
Months worked = 4
Randy has worked for 4 months. Now we can calculate the social security tax withholding for this month.

The social security tax rate is 6.2% of the gross salary. To find the social security tax withholding, we multiply the gross monthly salary by the social security tax rate.
Social Security tax rate: 6.2%
Gross monthly salary: $3,600.00
Social Security tax withholding = Gross monthly salary × Social Security tax rate
Social security tax withholding = $3,600.00 × 6.2%
Social security tax withholding = $223.20
Therefore, this month's social security tax withholding for Randy Burgarner is $223.20.

Now let's calculate the Medicare tax withholding for this month.
The Medicare tax rate is 1.45% of the gross salary. To find the Medicare tax withholding, we multiply the gross monthly salary by the Medicare tax rate.
Medicare tax rate: 1.45%
Gross monthly salary: $3,600.00
Medicare tax withholding = Gross monthly salary × Medicare tax rate
Medicare tax withholding = $3,600.00 × 1.45%
Medicare tax withholding = $52.20

Therefore, this month's Medicare tax withholding for Randy Burgarner is $52.20.

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The value of the length f is 6. 7

To determine the value, we have to know the different trigonometric identities.

These trigonometric identities are enumerated as;

To determine the length of f

Let us use the tangent identity, we have that;

tan θ = opposite/adjacent

substitute the values, we have;

tan 24 = f/15

Multiply the values, we get;

f = 0. 4452(15)

multiply the values

f = 6. 7

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