3(2a-2)=2(3a-3) solve

Answer:

2√15

Step-by-step explanation:

∠BAC=80° (vertical angles)

p=45° (sum of angles in a triangle)

m=55° (corresponding angles theorem)

n=135° (exterior angle theorem)

Answer:

B

Step-by-step explanation:

5

Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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Step 1

Given;

Required; To find the price per ounce

Step 2

State the ratio that can be used to find the price per ounce of the candy bars.

When dealing with random walk data, Holt's method is preferred due to its ability to capture short-term fluctuations and changing trends without assuming a specific pattern.

A random walk is a time series where the future values are dependent on the previous values and exhibit a random or unpredictable behavior. In such cases, using methods like Moving Average, Holt-Winters, or Logistic Regression may not yield accurate results because they assume certain patterns or trends in the data.

Holt's method, also known as exponential smoothing, is particularly suitable for handling random walk data. It is a forecasting technique that takes into account both the level and the trend of the time series. This method assigns exponentially decreasing weights to past observations, giving more weight to recent data points. By incorporating a level and trend component, Holt's method can capture the short-term fluctuations and gradual changes in the data without assuming a specific pattern.

Unlike Moving Average or Holt-Winters, Holt's method does not rely on a fixed window of past observations, which can be limiting for random walk data. Instead, it adapts dynamically to the changing characteristics of the time series.

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Answer: 1/13

Step-by-step explanation:

1/13 is the simplest form of 4/52, which is the number of king cards to the number of cards total.

Answer:

To solve the equation 4 cos x + 2 = 3 for x, you can begin by subtracting 2 from both sides of the equation to isolate the term with the cosine function:

4 cos x + 2 - 2 = 3 - 2

4 cos x = 1

Then, you can divide both sides of the equation by 4 to solve for x:

4 cos x / 4 = 1 / 4

cos x = 1/4

Since the cosine function has a range of -1 to 1, the only possible value of x that satisfies this equation is x = 30°.

However, you mentioned that you want to solve the equation for x = 0°. In this case, you would need to substitute 0° for x in the original equation and solve for the value of the other variable. For example, if the original equation was "4 cos x + y = 3," you would substitute 0 for x and solve for y:

4 cos 0 + y = 3

4 + y = 3

y = -1

This means that if x = 0°, then y = -1

Answer:

D

Step-by-step explanation:

the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm

Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute

A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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Answer:

50.126

Step-by-step explanation:

hope this helps

The solution is 50.126

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

100 times my number is 12.6 more than 5000

Let the number be x

100 times the number = 100x

Now, 100x is 12.6 more than 5000

100x = 5000 + 12.6

100x = 5012.6

Divide by 100 on both sides , we get

x = 50.126

Hence , the solution is 50.126

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Answer: 14 and 15

Step-by-step explanation:

The square root of 200 is 14.1421356237.

14< 14.1421356237 < 15

Answer:

an =24−2n

Step-by-step explanation:

Answer: 36.

Step-by-step explanation:

4+5 = 9

Answer:

1. 18    2. \(\frac{1}{3}\)    3. \(\frac{2}{15}\)    4. 6    5. 1.25

Btw:

Nice Quackity photo.

Answer:

last one I hope this helps you

Step-by-step explanation:

5^6

As per the concept of probability, the assumptions that are needed be satisfied is No, because ₂p₂ < 10. (option b).

The method used for this involves calculating the standard error and then constructing the interval using the formula:

(₁ − ₂) ± _(/2) ×

where ₁ and ₂ are the proportions of bike users in the two samples, _(/2) is the critical value from the t-distribution for a given level of significance , and is the standard error, which is calculated as:

= √(p₁ (1 − p₁)/₁ + p₂ (1 − p₂)/₂)

where p₁ and p₂ are the sample proportions, and ₁ and ₂ are the sample sizes.

Another assumption is that the sample sizes must be large enough. Specifically, the sample size should be large enough so that the distribution of the sample proportion is approximately normal.

A common rule of thumb is that both ₁p₁ and ₁(1 − p₁) should be greater than or equal to 10, and the same should hold for ₂p₂ and ₂(1 − p₂).

In this case, the sample sizes are 50 and 40, and the sample proportions are 0.3 and 0.2, respectively.

Both ₁p₁ and ₁(1 − p₁) are greater than or equal to 10, but ₂p₂ is only 8, which violates this assumption.

Therefore, the correct answer to the question is (b) No, because ₂p₂ < 10.

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Complete Question:

A small research on sustainable mobility among college students compared the proportion of bike users in a random sample of 50 students at UC Irvine and in an independent random sample of 40 students at UC Santa Barbara. Among the 50 students at UCI, 30% were found to be bike users. Among the 40 students at UC Santa Barbara, 20% were found to be bike users. If the researchers wanted to use this data to construct a confidence interval for the difference between the proportions of bike users at UC Irvine and UC Santa Barbara relying on the methods that we have studied, would all the assumptions that are needed be satisfied?

a) Yes

b) No, because TUCSB UCSB < 10

c) No, because the two samples do not have the same size

d) No, because the sample of UCI students is less than 10% of the total number of UCI students

ANSWER

Given,

AB=5 cm,BC=12 cm

So, AC=

5

2

+12

2

=13

We know that

x=

2

AB+BC−AC

x=

2

5+12−13

x=

2

4

x=2 cm

Hence, this is the answer.

Answer:

x = 68

Step-by-step explanation:

The consecutive angles of a parallelogram are supplementary, sum to 180° , then

69 + 43 + x = 180 , that is

112 + x = 180 ( subtract 112 from both sides )

x = 68

Answer:

a) X + X + 1 = 11

Step-by-step explanation:

Em matemática, a soma de consecutivos é expressa matematicamente como:

X + (X + 1) + (X + 2) + (X + 3) .............

Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11

Portanto, esta expressão algébrica é dada como:

X + (X + 1) = 11

X + X + 1 = 11

Portanto, a opção a) X + X + 1 = 11 é a opção correta

Answer:

3

Step-by-step explanation:

It would be 3 because the numbers with the variables are the same which is 2. Then if we would substitute the variables with the coridanates the equation would be 2x4 + 2x-2 = 12. Then if you solve the equation using pemdas you would get 4. 4 would not equal 12 which means the equation is not true. So 3 cannot use this set of numbers but the rest can.

Answer:

-25

Hope this helps you out :)

Answer:

the answer should be -25

Answer:

8!

4 goes into 8 and 8 is a multiple of itself

The L.C.M. of 4 and 8 is 8.

why?

Let's list the first 7 multiples of 4 and 8

4: 4, 8, 12, 16, 20, 24, 28

8: 8, 16, 24, ..

So 8 is the LCM.

Hope it helps you!

~Just a joyful teen

\(GraceRosalia\)

Answer:

I belive is down 4 but I'm not sure.

Answer:

down 4

Step-by-step explanation:

if you count down the y-axis, you would be hopping 4 steps downward

Step-by-step explanation:

p + p + 7 = p + 5 + 4

2p + 7 = p + 9

2p - p = 9 - 7

p = 2

The U.S. government used coercive treaties, broken promises, military force, and economic pressures to persuade Native Americans to settle on reservations, often resulting in displacement and loss of land.

The history of Native American reservations in the United States is complex and multifaceted. While it is important to note that not all Native Americans were tricked into settling on reservations, there were various factors and events that led to the establishment of reservations and the displacement of Native peoples. Here are some key points:

Treaties and Agreements: In the 19th century, the U.S. government negotiated numerous treaties and agreements with Native American tribes. These agreements were often presented as a means to protect tribal lands, resources, and cultural autonomy. However, some of these treaties were negotiated under coercive circumstances, with unequal bargaining power and the threat of military force.

Broken Promises: Many of the treaties and agreements made between the U.S. government and Native American tribes were not honored. The government frequently violated its promises and encroached upon tribal lands, often due to the discovery of valuable resources like gold, timber, or fertile land. This led to the forced removal of Native peoples from their ancestral territories.

Indian Removal Act: In 1830, the Indian Removal Act was passed by the U.S. Congress. This legislation authorized the relocation of Native American tribes from their homelands to designated reservations in the West. The act was justified under the premise of opening up land for white settlement and facilitating the assimilation of Native Americans into Euro-American society.

Military Force: In some cases, the U.S. government used military force to remove Native American tribes from their lands and confine them to reservations. The most well-known example is the forced relocation of thousands of Cherokee people along the Trail of Tears in the 1830s.

Economic and Social Pressures: Native American communities faced increasing economic and social pressures as European settlers expanded westward. Encroachment on tribal lands, depletion of natural resources, introduction of diseases, and the decline of traditional livelihoods further marginalized Native peoples and made the reservations appear as a solution to their dire circumstances.

It is essential to approach this topic with sensitivity and recognize the diverse experiences and perspectives of Native American tribes throughout history. The process of reservation establishment involved a complex interplay of political, economic, and social factors, and it is not accurate to portray it solely as a deliberate trickery by the government.

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Answer:

a. Interest = $300

b. Payment to principal = $86.40

c. New balance = $‭59,913.6‬0

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.

The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.

As the interest is listed in annual terms, it needs to be made a monthly rate:

= 6%/12 months

= 0.5%

Interest = 60,000 * 0.5%

= $300

Payment to principal = 386.40 - 300

= $86.40

New balance = Amount due - payment to principal

= 60,000 - 86.40

= $‭59,913.6‬0

Answer:

17percent

Hope this helped have an amazing day!

Answer:

r = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to \(\frac{3}{2}\)

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)

m = \(\frac{r+6}{11-3}\) = \(\frac{r+6}{8}\) = \(\frac{3}{2}\) ( cross- multiply )

2(r + 6) = 24 ( divide both sides by 2 )

r + 6 = 12 ( subtract 6 from both sides )

r = 6