what's the measure of the top left angle in this triangle and whats the measure of the top right angle?​

The interval for which particle moves to the right is D. t ≥ 4

Intervals are the range of values of a function.

Given that a particle moves along the x-axis so that a time t≥0 is given by x(t) = (t-1)³(t-5).

To find the inverval, we differentiate x(t) with respect to t since the velocity is the derivative dx/dt.

So, x(t) = (t - 1)³(t - 5).

dx(t)/dt = d(t - 1)³(t - 5)/dt

= (t - 5)d(t - 1)³/dt + (t - 1)³d(t - 5)/dt

= (t - 5) × 3(t - 1)² + (t - 1)³ × 1

= 3(t - 5)(t - 1)² + (t - 1)³

= (t - 1)²[3(t - 5) + (t - 1)]

= (t - 1)²[3t - 15 + t - 1]

= (t - 1)²(4t - 16)

For the particle to be moving to the right, dx/dt ≥ 0.

So, dx/dt ≥ 0

⇒ (t - 1)²(4t - 16) ≥ 0

⇒ (t - 1)² ≥ 0 or 4t - 16 ≥ 0

⇒ (t - 1) ≥ 0 or 4t ≥ 16

⇒ t ≥ 1 or t ≥ 16/4

⇒ t ≥ 1 or t ≥ 4

⇒ t ≥ 4 (since 4 is greater than 1.)

So, the interval for which particle moves to the right is D. t ≥ 4

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Answer: y=1/2x-3

Step-by-step explanation:

I'm assuming you're trying to find it in slope intercept form!

y=mx+b

y=1/2x-3

easy

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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Characteristics of normal distributions are symmetry, Bell shaped, Standardized properties. Example of something expected to be normally distributed is the heights of adult males in a population.

1.

Characteristics of the normal distribution:

a) Symmetry:

b) Bell-shaped curve:

c) Standardized properties:

2.

Example of something expected to be normally distributed:

The heights of adult males in a population can be expected to follow a normal distribution. This is because height is influenced by multiple genetic and environmental factors, and their combined effects often result in a bell-shaped distribution.

Several reasons support the expectation of a normal distribution for adult male heights:

Due to these reasons, we expect adult male heights to exhibit a normal distribution in most populations.

The question should be:

1. List and describe at least three characteristics of the normal distribution. 2. Find an example of something that you would expect to be normally distributed and share it. Explain why you think it is normally distributed.

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There are 14 possible outcomes for the 7-question test.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Given that the total number of questions is 7.

Each question has two possible outcomes, either true or false.

Given that, you randomly guess on all questions.

So you can guess either true or false for all questions.

That is, there are 2 possible options for each question.

And total number of questions = 7

Total number of possible outcomes = 2 × 7 = 14

Hence the total possible outcomes is 14.

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The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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Jane's opportunity cost of pork is 0.1 pounds of beans per pound of pork, and her opportunity cost of beans is 10 pounds of pork per pound of beans. With the discovery of a lower-cost method of producing computers, the supply of computers will increase. A binding price ceiling in the market would result in a shortage.

1. Jane's opportunity cost of pork can be calculated by dividing the hours required to produce pork (10 hours) by the hours required to produce beans (5 hours). Therefore, her opportunity cost of pork is 0.1 pounds of beans per pound of pork. Similarly, her opportunity cost of beans is calculated by dividing the hours required to produce beans (5 hours) by the hours required to produce pork (10 hours), resulting in an opportunity cost of 10 pounds of pork per pound of beans.

2. Although the U.S. can produce more televisions per hour of labor than China, it does not necessarily mean that the U.S. should specialize in television production. Comparative advantage considers the opportunity cost of producing other goods. If the U.S. has a lower opportunity cost in producing a different good, it may be more beneficial for the U.S. to specialize in that particular area and trade with China for televisions.

3. The discovery of a lower-cost method of producing computers would lead to an increase in the supply of computers. With lower production costs, producers can offer computers at a lower price, stimulating demand and expanding the quantity supplied.

4. Immediately after a price increase for natural gas, the price elasticity of demand is expected to be more inelastic. In the short term, consumers may not have immediate alternatives or the ability to switch to other heating methods. Over time, as consumers adjust to the price increase and explore alternative options, the price elasticity of demand for natural gas would likely become more elastic.

5. A binding price ceiling, which sets a maximum price below the equilibrium price, would result in a shortage in the market. The price ceiling prevents the market from reaching equilibrium, leading to excess demand and insufficient supply. Suppliers may not find it profitable to provide goods or services at an artificially low price, resulting in a shortage as consumers compete for the limited available quantity.

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Since we have covered both cases and shown that in each case, a^2 is divisible by 4 or is 1 more than an integer divisible by 4, we can conclude that for any natural number a, a^2 satisfies the given condition.

To prove that for any natural number a, a^2 is divisible by 4 or is 1 more than an integer divisible by 4, we can consider two cases:

Case 1: a is an even number

If a is an even number, then it can be expressed as a = 2k, where k is also a natural number. In this case, we have:

a^2 = (2k)^2 = 4k^2

Since 4k^2 is divisible by 4, the statement holds true.

Case 2: a is an odd number

If a is an odd number, then it can be expressed as a = 2k + 1, where k is a natural number. In this case, we have:

a^2 = (2k + 1)^2 = 4k^2 + 4k + 1 = 4k(k + 1) + 1

Here, we observe that 4k(k + 1) is divisible by 4, and adding 1 does not change its divisibility. Therefore, a^2 is 1 more than an integer divisible by 4.

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The ratio of similarity  DEFG to TSRQ is '3: 1'.

Two quadrilaterals are considered similar if they have the same shape but may have different sizes. Similar quadrilaterals have corresponding angles that are congruent, and their corresponding sides are in proportion to each other.

The ratio of similarity is a measure of how much two geometric figures are enlarged or reduced to become similar.

Here we have

Quadrilateral DEFG and Quadrilateral TSRQ.

Where DEFG similar to TSRQ

Hence, the ratio of corresponding sides will be equal

=> DE/TS  = EF/SR  = FG/RQ = DG/TQ

=> 24/8  = 24/8  = 24/8 = 24/8 = 3/1

Therefore,

The ratio of similarity  DEFG to TSRQ is '3: 1'.

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To transform the graph of f into the graph of g, we shift the graph of f 10 units to the right along the x-axis.

What is the graph?

The graph of a function is a visual representation of the relationship between the input values and the output values of the function. Graphs can be drawn on a coordinate plane and can help us understand the behavior of the function and identify important features, such as the domain, range, intercepts, and extrema.

To describe how to transform the graph of f into the graph of g, we need to understand the effect of the function g(x) = f(x + 10). This function takes the input x, adds 10 to it, and then applies the original function f to the result. This means that each point on the graph of f is shifted to the right by 10 units in the graph of g.

To summarize, to transform the graph of f into the graph of g, we shift the graph of f 10 units to the right along the x-axis.

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a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. then 23625  is the combined square footage of the side and back yard

125*150 and 195*25

total 23625

The area covered with grass, in square feet, is the area of the shape of the yard.

What is the Area of a Yard?

The area of a yard can be calculated by determining the shape of the yard, and using the appropriate area formula of the shape to find the area of the yard.

Image of the yard is missing. However, assuming the yard is a rectangular shape with a dimension of 10 ft by 6 ft, therefore:

The square feet of grass Russell has = area of rectangle = (10)(6) = 60 ft²

In summary, the area covered with grass, in square feeet, is the area of the shape of the yard.

a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. then 23625  is the combined square footage of the side and back yard

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By using a sampling technique  we ensure that we choose a sample of students that is representative of all 8:00 am classes.

There are  varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.

Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.

explanation;

we conclude the

Since the students' lecture hallsare on different building the samples are

Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.

The number of students in each building is:

There are 100 students in each building

Then select at random an equal proportion of student from each building let 20 students in each building.

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The cost of the stock for the investor would be calculated as follows:

Cost of 1 share = $98.93
Number of shares purchased = 500

Total cost of the stock = Cost per share x Number of shares
Total cost of the stock = $98.93 x 500
Total cost of the stock = $49,465

The broker charges 2% of the cost of the stock, so the broker's fee would be calculated as:

Broker's fee = 2% x Total cost of the stock
Broker's fee = 2% x $49,465
Broker's fee = $989.30

Therefore, the total cost of the stock for the investor including the broker's fee would be:

Total cost of the stock + Broker's fee = $49,465 + $989.30
Total cost of the stock + Broker's fee = $50,454.30

So the cost of the stock for the investor including the broker's fee is $50,454.30.

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Answer:

Maincra 102882828828282

Answer:

BE / AB = HE / AH

Step-by-step explanation:

AE is angle bisector

BE / HE = AB / AH

BE / AB = HE / AH

Answer:

(2x+9)  ^3

Step-by-step explanation:

 (((8 • (x3)) +  729) +  (22•33x2)) +  486x

 ((23x3 +  729) +  (22•33x2)) +  486x

Factoring:  8x3+108x2+486x+729  

 8x3+108x2+486x+729  is a perfect cube which means it is the cube of another polynomial  

 In our case, the cubic root of  8x3+108x2+486x+729  is  2x+9  

 Factorization is  (2x+9)3

Hope this helped

Answer:

\(slope = \frac{1}{2} \)

d is the correct answer!

Step-by-step explanation:

Hope this HELPS!

Answer:

C

Step-by-step explanation:

They are opposite angles and opposite angles are the same amount.

The answer is C because they are on the outside of the triangle.

Outside = Exterior

Answer:

\(y=\frac{1}{12}x-\frac{26}{3}\)

Step-by-step explanation:

\(y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}\)

Ciphers, such as the enigma machine, that rearrange the sequence of characters based on a fixed rule are known as substitution cipher.

A type of encryption known as a replacement cypher employs a key to substitute certain plaintext chunks with the ciphertext in a predetermined manner.

Single letters, pairs of letters, triplets of letters, combinations of the aforementioned, etc. are all acceptable "units." The receiver decodes the text using the inverse substitution technique to ascertain what the original message was.

Cyphers for transposition and substitution are similar. In a transposition cypher, the plaintext's units are not changed; instead, they are rearranged in a brand-new, frequently extremely complex pattern. A substitution cypher modifies the units themselves while preserving the order of the units from the plaintext in the ciphertext.

The substitution cypher can take many different shapes. If a cypher only functions with single letters, it is referred to as a simple substitution cypher; a polytrophic cypher, on the other hand, functions with larger groups of letters.

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The slope intercept form has the next form

We have

we need to isolate the y

ANSWER

y=3x-3

Answer:

X=

\( \frac{ - 23}{5} \)

Y=

\( \frac{ - 1}{5} \)

Step-by-step explanation:

3x+y=-14

2x-y=-9

5x=-23

y=

Answer:

\(x= \frac{-23}{5}, y=\frac{-1}{5}\)

Step-by-step explanation:

3x + y = -14

-2x + y = 9

We'll try to find x

(-2x + y = 9) multiplied by -1 => -1(-2x+y=9) = 2x-y = -9

3x + y = -14

+2x -y = -9

+__________

3x + 2x +y -y = -14 - 9

5x = -23

x = -23/5

3x + y = -14  =>And now we can find y. Just plug in -23/5 for x

\(3\frac{-23}{5} + y = -14\)

\(\frac{-69}{5} + \frac{5y}{5} = \frac{-70}{5}\)

\(\frac{5y}{5} =\frac{-1}{5}\)

5y = -1

y = -1/5

Hope this helps ^-^

Answer:

A does not represent a function

Answer:

Vehicle A with 25 mpg

Step-by-step explanation:

You get the slope.

Answer:

D. Is the correct answer.

Step-by-step explanation:

I had this one too.

The function f(x) = 8 - 7x is not a linear transformation.

To determine if the function f: ℝ → ℝ defined by f(x) = 8 - 7x is a linear transformation, we need to check if it satisfies the following two conditions:
1. Additivity: f(x + y) = f(x) + f(y) for all x, y ∈ ℝ
2. Homogeneity: f(cx) = cf(x) for all x ∈ ℝ and all scalars c

Check additivity
f(x + y) = 8 - 7(x + y) = 8 - 7x - 7y
f(x) + f(y) = (8 - 7x) + (8 - 7y) = 8 - 7x + 8 - 7y = 16 - 7x - 7y
Since f(x + y) ≠ f(x) + f(y), the function f does not satisfy additivity.

Therefore, the function f(x) = 8 - 7x is not a linear transformation.

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The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Answer:

Alfred has 40 tokens

Clarissa has 30 tokens

Benji has 15 tokens

Step-by-step explanation:

Let's give each person a variable:

A for Alfred

C for Clarissa

B for Benji

Now, we can take what the question is saying and convert them into equations:

Alfred has 10 more tokens than Clarissa can look like this:

A = C + 10

Since Alfred has 10 more coins than Clarissa we can take C and add 10 to find how many tokens Alfred has.

Clarissa has twice as many tokens as Benji looks like this:

C = 2B

Since Clarissa has twice as many tokens as Benji we can multiply B (how many tokens Benji has) by 2.

Lastly, they have 85 tokens all together:

A + B + C = 85

We have these 3 equations:

A = C + 10

C = 2B

A + B + C = 85

Now, we can substitute some variables:

A = (2B) + 10    Since C is equal to 2B we can substitute 2B in for C in the first equation.

We have found what A equals, we can plug that in to the last equation:

(2B) + 10 + B + C = 85

We can also substitute the second equation into the third equation:

(2B) + 10 + B + 2B = 85

Combine like terms:

5B + 10 = 85

Solve

5B = 75

B = 15

This means that Benji has 15 tokens. Now we can find how much the other children have:

C = 2(15) = 30

Clarissa has 30 tokens

A = 30 + 10

A = 40

Alfred has 40 tokens.

Answer:

Alfred has 40 tokens

Clarissa has 30 tokens

Benji has 15 tokens

Checking the Answer

A + B + C = 85

40 + 15 + 30 = 85

85 = 85

I hope this helps!!

- Kay :)