Given: AB = CD Prove: AC = BD

Answer: hehehe

Step-by-step explanation:

Your mom

Answer:

⁶√2

Step-by-step explanation:

∛4 = (2^2)^1/3 = 2^2/3

So ∛4 / √2

= 2^2/3 / 2^1/2

= 2^1/6

= ⁶√2

Answer:

Option C- Picture Below

Step-by-step explanation:

Just to as the first one's confirmation.

Answer:

x=18

Step-by-step explanation:

Being that the angles are corresponding they are going to equal the same thing.

(7x+7)=133

Now just follow the laws of PEMDAS

7x+7=133

-7 -7

7x=126

÷7 ÷7

x=18

The answer to the given linear programming problem, which is solved using the simplex method, is as follows:

The optimal solution to minimize the objective function Z = X1 + 2X2 is X1 = 20 and X2 = 0, with the objective function value Z = -100.

To solve the problem, we'll first convert the inequalities to equations by introducing slack and surplus variables. Then we'll set up the initial simplex tableau and iterate through the simplex algorithm until we reach an optimal solution.

⇒ Convert the inequalities to equations:

A. X1 + 3X2 + S1 = 90 (where S1 is the slack variable)

B. 8X1 + 2X2 + S2 = 160 (where S2 is the slack variable)

C. 3X1 + 2X2 + S3 = 120 (where S3 is the slack variable)

D. X2 + S4 = 70 (where S4 is the surplus variable)

⇒ Set up the initial simplex tableau:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

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

Z       | -1 | -2 |  0 |  0 |  0 |  0 |  0  |

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

S1      |  1 |  3 |  1 |  0 |  0 |  0 | 90  |

S2      |  8 |  2 |  0 |  1 |  0 |  0 | 160 |

S3      |  3 |   2 |  0 |  0 |  1 |  0 | 120 |

S4      |  0 |   1 |  0 |  0 |  0 | -1 | 70  |

⇒ a) Select the most negative coefficient in the Z row, which is -2. Choose the corresponding column as the pivot column (X2 column).

b) Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 70/1 = 70. Thus, the pivot row is S4.

c) Perform row operations to make the pivot element (1 in S4 row) equal to 1 and eliminate other elements in the pivot column:

  - Divide the pivot row by the pivot element (1/1 = 1).

  - Replace other elements in the pivot column using row operations:

    - S1 row: S1 = S1 - (1 * S4) = 90 - 70 = 20

    - Z row: Z = Z - (2 * S4) = 0 - 2 * 70 = -140

    - S2 row: S2 = S2 - (0 * S4) = 160

    - S3 row: S3 = S3 - (0 * S4) = 120

d) Update the tableau with the new values:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

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

Z       | -1 |  0 |  0 |  0 |  2 | -2 | -140|

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

S1      |  1 |  3 |  1 |  0 |  

0 |  0 | 20  |

S2      |  8 |  2 |  0 |  1 |   0 |  0 | 160 |

S3      |  3 |  2 |  0 |  0 |   1 |  0 | 120 |

S4      |  0 |  1 |  0 |  0 |   0 | -1 | 70  |

e) Repeat steps a to d until all coefficients in the Z row are non-negative.

  - Select the most negative coefficient in the Z row, which is -1. Choose the corresponding column as the pivot column (X1 column).

  - Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 20/1 = 20. Thus, the pivot row is S1.

  - Perform row operations to make the pivot element (1 in S1 row) equal to 1 and eliminate other elements in the pivot column.

  - Update the tableau with the new values.

f) The final simplex tableau is:

        | X1 | X2 | S1 | S2 | S3 | S4 | RHS |

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

Z       |  0 |  0 |  0 |  0 |  1 | -3 | -100|

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

X1      |  1 |  3 |  1 |  0 |  0 |  0 | 20  |

S2      |  0 | -22 | -8 |  1 |  0 |  0 | 140 |

S3      |  0 | -7 | -3 |  0 |  1 |  0 | 60  |

S4      |  0 |  1 |  0 |  0 |  0 | -1 | 70  |

⇒ Read the solution from the final tableau:

The optimal solution is X1 = 20 and X2 = 0, with the objective function value Z = -100.

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Answer:

3

Step-by-step explanation:

Divide 1kg or 1000g by 350 and round up to the next integer. That's it.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams=1 kilograms

Answer:

B

Step-by-step explanation:

f(x) maxmum value is

\( \frac{ - 4}{ - 4} = 1\)

\( - 2( {1}^{2} ) + 4(1) + 3 =

5\)

G(x) minimum value is 6.

B is the answer.

The choice of vehicles that will minimize the total cost per journey is to use Vehicle Q exclusively.

To formulate the problem as a linear programming model, let's define the decision variables:

- Let x be the number of journeys made by Vehicle P.

- Let y be the number of journeys made by Vehicle Q.

We can set up the following constraints based on the given information:

- The number of passengers carried per journey: 40x + 60y ≥ 960

- The amount of baggage carried per journey: 30x + 15y ≥ 360

- Since the number of journeys cannot be negative, x ≥ 0 and y ≥ 0.

To minimize the total cost per journey, we need to minimize the objective function:

Total cost = 1000x + 1200y

By solving this linear programming problem, we can determine the optimal values for x and y. However, considering the cost difference between the two vehicles, it becomes apparent that using Vehicle Q exclusively will result in lower costs per journey. Vehicle Q can carry more passengers and has a lower operating cost, making it the more cost-effective option.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

y = −(x − 2)^2 − 4

Step-by-step explanation:

Take RHS

\(\\ \rm\Rrightarrow \dfrac{tanA+tanB}{tanA-tanB}\)

\(\\ \rm\Rrightarrow \dfrac{\dfrac{sinA}{cosA}+\dfrac{sinB}{cosB}}{\dfrac{sinA}{cosA}-\dfrac{sinB}{cosB}}\)

\(\\ \rm\Rrightarrow \dfrac{\dfrac{sinAcosB+cosAsinB}{cosAcosB}}{\dfrac{sinAcosB-cosAsinB}{cosAcosB}}\)

\(\\ \rm\Rrightarrow \dfrac{sinAcosB+cosAsinB}{sinAcosB-cosAsinB}\)

\(\\ \rm\Rrightarrow \dfrac{sin(A+B)}{sin(A-B)}\)

Some important identities

\(\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}\)

Answer:

\(\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\\\\ \dfrac{\sin A}{\cos A}=\tan A$\\\end{minipage}}\)

\(\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)}\)

\(\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)} \times \dfrac{\dfrac{1}{\cos (a) \cos (b)}}{\dfrac{1}{\cos (a) \cos (b)}}\)

\(\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} + \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} - \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}\)

\(\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a)}{\cos (a)} + \dfrac{\sin (b)}{\cos (b)}}{\dfrac{\sin(a)}{\cos (a)} - \dfrac{\sin (b)}{\cos (b)}}\)

\(\dfrac{\sin (a+b)}{\sin (a-b)}=\dfrac{\tan(a)+\tan(b)}{\tan(a)-\tan(b)}\)

Answer:A.

Step-by-step explanation:

Since the slope-intercept form is y = mx + b where m is slope and b is the y-intercept. A is the only answer that is in this form

B is incorrect because there's no x value and there's a y value on both sides

C is incorrect because it's not ordered correctly ( however you can change it to slope intercept by substracting x from both sides then dividing 5 from both sides to isolate the y variable

D is incorrect because again there's no x value and the y variable is not isolated

So answer choice A is correct

Hope this helps!

Answer:

I'm not 100% sure if I did it right but I got x=1

Step-by-step explanation:

They are equal to each other cause it is an isosceles triangle

10x-3=5x+2

add the 3 to both sides

10x=5x+5

subtract the 5x from both sides

5x=5

divide the 5 from both sides

x=1

The shaded sections of the trapezoid are triangles.

We know how to find the area of triangles

A = 1/2 bh

Lets start with the left triangle

The bases is 1.1 inches and the height is 3.8 inches

A left triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

The right triangle has the same dimensions

A right triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

Add the two triangles together

2.09+2.09 = 4.18 in^2

The area of the shaded region is 4.18 in^2

In hypothesis testing, the alternative hypothesis is the statement that researchers are trying to evaluate. It is the opposite of the null hypothesis.

What is the alternative hypothesis?

In hypothesis testing, an alternative hypothesis is a statement that is used to determine if there is a statistically significant difference between two sample populations or data sets. It is used to compare the statistical significance of two groups.The alternative hypothesis typically states that there is a difference between the two groups being compared.

For example, a researcher may wish to know if a new drug is more effective than a placebo in treating a specific condition. In this case, the alternative hypothesis would be that the drug is more effective than the placebo.

In hypothesis testing, the null hypothesis and alternative hypothesis are used to determine if there is a statistically significant difference between two groups.

The null hypothesis is the statement that there is no difference between the two groups being compared. The alternative hypothesis is the statement that there is a difference between the two groups being compared.

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Answer:

In hypothesis testing, the alternative hypothesis is a statement that contradicts the null hypothesis. It represents the researcher's belief or suspicion that there is a significant effect, relationship, or difference between groups or variables being studied. The alternative hypothesis is denoted as "H1" or "Ha" and is the hypothesis researchers are trying to gather evidence in favor of, by conducting statistical analysis and evaluating the data.

Step-by-step explanation:

In hypothesis testing, we aim to make informed conclusions about a population based on a sample of data. The process involves two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha).

The null hypothesis states that there is no significant effect, relationship, or difference between groups or variables in the population. It's often considered the default assumption until evidence suggests otherwise. The alternative hypothesis, on the other hand, proposes that there is a significant effect, relationship, or difference in the population.

In simpler terms, think of it like this:

Researchers collect and analyze data to determine whether there's enough evidence to reject the null hypothesis in favor of the alternative hypothesis. If the data strongly supports the alternative hypothesis, we might conclude that there is a significant effect or difference. If the data doesn't provide enough evidence, we might fail to reject the null hypothesis.

So, the alternative hypothesis is essentially the idea that researchers are trying to prove by conducting their analysis and experiments.

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Based on the segment addition postulate, the length of FH is: 20.

Based on the segment addition theorem, if G is on line segment FH, therefore, FG + GH = FH.

Given:

FG + GH = FH (segment addition theorem)

3 + 17 = FH

20 = FH

FH = 20

Therefore, based on the segment addition postulate, the length of FH is: 20.

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Answer:

25% of the isles are empty

Step-by-step explanation:

48/12 is 25%

Answer:

25%

Step-by-step explanation:

12 + 12 + 12 + 12= 48

if 12 isles are empty, then that is 1/4 of 48 aka 25%

Answer:

y = 5x/6 + -2/3

Step-by-step explanation:

To put this equation into slope intercept form, we simply need to solve for the y variable like so:

5x - 6y = 4

-6y = 4 - 5x

y = (4/-6) + (-5x / -6)

y = 5x/6 + -2/3

Cheers.

Answer:

y = 0.83x -0.66

71.2 was the mean of dr. ringo star's biology final exam when z-score of 1.5 .

What does "z-score" mean?

X - μ/σ = Z

85 - μ/9.2 = 1.5

μ = 85 - ( 1.5 * 9.2 )

μ = 71.2

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Answer:

Value over a defined period of time, and it represents the momentum of a variable. ✨

Step-by-step explanation:

Answer:

they lost 2

Step-by-step explanation:

Answer:

A cylinder.

Step-by-step explanation:

A cylinder has two round tops , and one long body shape. When you roll the rectangle, it creates the body shape of the cylinder and the circles are the tops.

11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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The farmer's income from selling potatoes can be expressed as \(\(I(t) = (P - d \cdot t)(r \cdot t)\),\) where \(\(t\)\) is the number of days. To maximize his income, the farmer should wait approximately \(\(\sqrt{\frac{P}{2d}}\)\) days.

The farmer's income from the sale of potatoes can be expressed as a function of the number of days he waits before harvesting and selling the crop. Let's denote the number of days as \(\(t\).\) Initially, the price per bushel is \(\(P\)\) dollars, and it is decreasing by \(\(d\)\) dollars per day. The crop in the field is growing at a rate of \(\(r\)\) bushels per day.

To calculate the farmer's income, we need to determine the number of bushels he will have at a given day \(\(t\)\) and multiply it by the selling price per bushel. The number of bushels at day \(\(t\)\) can be calculated by subtracting the initial crop size from the growth rate multiplied by \(\(t\), i.e., \(r \cdot t\).\) Therefore, the farmer's income function can be expressed as \(\(I(t) = (P - d \cdot t)(r \cdot t)\).\)

To find the number of days the farmer should wait in order to maximize his income, we need to determine the value of \(\(t\)\) that maximizes the income function \(\(I(t)\).\) We can achieve this by finding the critical points of \(\(I(t)\),\) which occur when the derivative of \(\(I(t)\)\) with respect to \(\(t\)\) is equal to zero.

Differentiating \(\(I(t)\)\) with respect to \(\(t\),\) we get \(\(I'(t) = Pr - 2dt^2\).\) Setting \(\(I'(t)\)\) equal to zero and solving for \(\(t\),\) we find \(\(t = \sqrt{\frac{P}{2d}}\).\)

Therefore, the farmer should wait approximately \(\(\sqrt{\frac{P}{2d}}\)\) days to maximize his income.

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The percentage increase in the cost of building the bridge was approximately 57.08%.

Percentage increase is a measure of the amount of increase or growth expressed as a percentage of the original value. It is calculated by subtracting the original value from the new value, then dividing the result by the original value, and finally multiplying the quotient by 100.

To find the percentage increase, we need to calculate the difference between the final cost and the initial cost, and then divide that difference by the initial cost and multiply by 100 to get the percentage increase.

The formula for percentage increase is:

Percentage increase = (New value - Old value) / Old value x 100

Difference = Final cost - Initial cost

Difference = £37.7 million - £24 million

Difference = £13.7 million

Percentage increase = (Difference / Initial cost) x 100

Percentage increase = (13.7 / 24) x 100

Percentage increase = 57.08%

Therefore, the percentage increase in the cost of building the bridge was approximately 57.08%.

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Answer:

your mom + your mom = big mama there you go your welcome

Step-by-step explanation:

your mom + your mom = big  mama there you go your welcome

Answer:

this is the real answer

\( \frac{664}{5} \)