which figures are polygons?
select each correct answer

20 points!
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No, the two vector-valued functions found in parts a and c should not parameterize the same tangent line. The vector-valued function found in part a is a linear function, while the vector-valued function found in part c is a quadratic function. Therefore, the two functions will not parameterize the same tangent line.

The interval of continuity of the function is continuous given y = 2 (x + 4 ) 2 + 8 is (-∞, ∞).

A function is continuous at a point if the function value exists and is finite at that point, and the limit of the function as the input approaches that point from the left and right side is equal to the function value at that point. In other words, the function has no sudden jumps or discontinuities at that point.

In the case of the function y = 2(x + 4)² + 8, the function is defined and continuous for all real numbers x. There are no values of x for which the function is undefined or has a discontinuity, so the function is continuous for all values of x, meaning that the interval of continuity is (-∞, ∞).

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Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

The answer is:

5/4

Work/explanation:

Let's work out the slope of the line.

The equation is in y = mx + b form where m = slope; b = y intercept.

Similarly, in y=5/4x - 7/4, the slope is 5/4.

Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.

The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.

"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.

"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.

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Answer:

x=-6 + y= 3

Step-by-step explanation:

Answer:

x-intercept(s):  ( − 3 , 0 )

y-intercept(s):  ( 0 , − 3 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y

Answer:

x = 7.3

Step-by-step explanation:

area = base × height / 2

21.9 = 6 × x / 2

43.8 = 6x

x = 7.3

Answer:

7.3

Step-by-step explanation:

The formula to find the area of a triangle is (1/2)(a)h = A.

Replace the variable h (height) with x.

Isolate the x variable (height) in order to find the height value.

(1/2)(6)x = 21.9

3x = 21.9

x = 21.9/3

x = 7.3

Answer:

hope this helps you

have a great

Answer:

5

Step-by-step explanation:

19-14=5

for the Tape diagram just make 19 boxes and fill in 5.

Answer:

a) \(\sin 38.582^{\circ} \approx 0.624\), b) \(\cot 45.567^{\circ}\approx 0.980\), c) \(\sec 39^{\circ} = 1.287\), d) \(\tan 12^{\circ} \approx 0.213\), e) \(\csc 16.4^{\circ} \approx 3.542\), f) \(\sin 34.5^{\circ}\approx 0.566\)

Step-by-step explanation:

Sabemos que un minuto equivale a \(\frac{1}{60}\) de un grado sexagesimal, mientras que un segundo equivale a \(\frac{1}{3600}\) de un grado sexagesimal, entonces procedemos a convertir cada ángulo a su forma decimal y simplificamos en términos de senos y cosenos mediante identidades trigonométricas:

a) \(\sin 38^{\circ}34'56'' = \sin 38.582^{\circ}\)

Por tablas trigonométricas tenemos que \(\sin 38^{\circ} \approx 0.616\) y \(\sin 39^{\circ} \approx 0.629\), mediante interpolación lineal tenemos que:

\(\sin 38.582^{\circ} \approx 0.624\)

b) \(\cot 45^{\circ} 34' = \cot 45.567^{\circ}\)

\(\cot 45.567^{\circ} = \frac{\cos 45.567^{\circ}}{\sin 45.567^{\circ}}\)

Por tablas trigonométricas tenemos que \(\sin 45^{\circ} \approx 0.707\), \(\sin 46^{\circ}\approx 0.719\), \(\cos 45^{\circ}\approx 0.707\) y \(\cos 46^{\circ}\approx 0.695\), mediante interpolación lineal tenemos que:

\(\cot 45.567^{\circ}\approx 0.980\)

c) \(\sec 39^{\circ} = \frac{1}{\cos 39^{\circ}}\)

Por tablas trigonométricas tenemos que \(\cos 39^{\circ}\approx 0.777\), entonces tenemos que:

\(\sec 39^{\circ} = 1.287\)

d) \(\tan 12^{\circ} = \frac{\sin 12^{\circ}}{\cos 12^{\circ}}\)

Por tablas trigonométricas tenemos que \(\sin 12^{\circ} \approx 0.208\) and \(\cos 12^{\circ} \approx 0.978\), entonces tenemos que:

\(\tan 12^{\circ} \approx 0.213\)

e) \(\csc 16^{\circ}24' = \csc 16.4^{\circ}\)

\(\csc 16.4^{\circ} = \frac{1}{\sin 16.4^{\circ}}\)

Por tablas trigonométricas tenemos que \(\sin 16^{\circ} \approx 0.276\) y \(\sin 17^{\circ}\approx 0.292\), mediante interpolación lineal tenemos que:

\(\csc 16.4^{\circ} \approx 3.542\)

f) \(\sin 34.5^{\circ}\)

Por tablas trigonométricas tenemos que \(\sin 34^{\circ} \approx 0.559\) y \(\sin 35^{\circ} \approx 0.574\), mediante interpolación lineal tenemos que:

\(\sin 34.5^{\circ}\approx 0.566\)

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer: C) 28

Explanation:

The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.

Set those two expressions equal to one another. Solve for x.

2(x+2) = 60

2x+4 = 60

2x = 60-4

2x = 56

x = 56/2

x = 28

The correct value of the variable x is,

⇒ x = 28

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

ΔGEF and ΔHEF are congruent.

Hence, We can formulate;

⇒ 2 (x + 2) = 60°

⇒ 2x + 4 = 60

⇒ 2x = 60 - 4

⇒ 2x = 56

⇒ x = 28

Thus, The correct value of the variable x is,

⇒ x = 28

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There will be enough water for all the guests.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Total number of bottles = 24

Capacity of each bottle = 12 oz

Total capacity of the 24 water bottles = 12 × 24 = 288 oz

Now we have,

8 ounces = 1 cup

288 ounces = 288 / 8 = 36 cups

So there are 36 cups of water in total.

Number of guests = 30

If each guest drinks one cup of water, there will be 36 - 30 = 6 cups of water remaining.

Hence there will be enough water for the guests with 6 cups of water remaining.

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Your question is incomplete. Probably the correct question is as follows.

Before a party, Ashley bought a tray of 24 water bottles, each bottle has a capacity of 12 oz. There are 30 guests. If each guest drinks I cup of water, is there enough water for all the guests?

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

The changes in his account is that (d) The balance of the account increases by 6% each year.

The function of the account balance is given as

f(x) = 4,000 (1.06)*

The above function is an exponential growth function

Such that the growth factor (b) is the number in bracket

This is represented as

b = 1.06

The percentage growth rate (r) is calculated as:

r = b - 1

Substitute known values

r = 1.06 - 1

Evaluate the difference

r = 0.06

Express as percentage

r = 6%

This implies that the balance increases by 6% each year.

So, the true statement is (d)

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Answer: 37.7un^3

Step-by-step explanation:

Volume = 1/3πr^2h

=1/3×π×22×9

=12π

= 37.699111843078 feet3

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer:

im not sure

Step-by-step explanation:

When a rational number is expressed as a decimal, the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors in the denominator.

For example,

If we consider the fraction 1/7, the decimal representation is 0.142857142857..., and the repeating section has a length of 6 digits. This is because the denominator 7 is a prime number, and there is only one distinct prime factor.

Similarly, for the fraction 1/6, the decimal representation is 0.1666..., and the repeating section has a length of 1 digit. The denominator 6 has two distinct prime factors (2 and 3), but since the prime factor 2 is repeated, it contributes to a repeating section of length 1.

In general, if a rational number can be expressed in the form p/q, where p and q are coprime integers (they have no common factors other than 1), and q has prime factors p1^a1 * p2^a2 * p3^a3 * ..., then the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors, which is a1 + a2 + a3 + ...

It's important to note that not all rational numbers have repeating decimal representations. For example, the fraction 1/2 can be expressed as the terminating decimal 0.5.

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Answer:

10

Step-by-step explanation:

-12+22

10

Answer:

10

Step-by-step explanation:

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

450g of 10% sugar syrup

150g of 30% sugar syrup

Step-by-step explanation:

150g of 30% sugar syrup

450g of 10% sugar syrup

Step-by-step explanation:

big brains yo hope this helps yall

Yes, Dr. Lawrence is collecting a representative sample.

The term representative sample is a term that is used to describe a group of individuals who are selected from a population and that are meant to represent the population as a whole. The sample that Dr. Lawrence is collecting is representative because she is selecting 55 women and 45 men from the university. This means that the sample is reflective of the proportion of men and women in the university as a whole.

Dr. Lawrence is the director of counseling services at her university. She is planning to conduct a survey of 100 students at the university to see how aware they are of the counseling services that are offered at the university. She wants the proportion of men and women in her sample to reflect the proportion in the university as a whole (55% women and 45% men).

To increase the probability of a representative sample, Dr. Lawrence could use a different sampling method, such as random sampling or stratified sampling, that ensures that all members of the population have an equal chance of being selected for the sample.

Dr. Lawrence plans to stand in the student union and ask people to participate until she has given the survey to 55 women and 45 men. Thus, Dr. Lawrence is collecting a representative sample.

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Answer:

-3

Step-by-step explanation:

You multiply by negative 3 every next term

Approximately 69 mg of the drug remain in the individual's bloodstream after 6 hours based on the given information and the assumption of exponential decay.

The rate at which the drug leaves the individual's bloodstream is proportional to the amount of the drug in the bloodstream. This can be modeled using exponential decay.

We can use the formula for exponential decay:

A(t) = A₀ * e^(-kt)

Where:

A(t) is the amount of the drug at time t,

A₀ is the initial amount of the drug,

k is the decay constant,

t is the time in hours.

Given that the initial amount is 300 mg and the amount remaining after 2 hours is 223 mg, we can set up the following equation:

223 = 300 * e^(-2k)

To find the decay constant (k), we can rearrange the equation as follows:

e^(-2k) = 223/300

Taking the natural logarithm of both sides, we have:

-2k = ln(223/300)

Solving for k:

k ≈ -0.115

Now, we can calculate the amount of the drug remaining after 6 hours:

A(6) = 300 * e^(-0.115 * 6)

A(6) ≈ 69 mg

Approximately 69 mg of the drug remain in the individual's bloodstream after 6 hours based on the given information and the assumption of exponential decay.

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Answer:

d. 18 mL

Step-by-step explanation:

In order to find how many millimeters of vinegar there are in the mixture, you must find 3.6% of 500. This is the same as 0.036 times 500.

Therefore, the answer is 18 mL.