Copy the frequency table below. Use your data to complete your table.

For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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Answer:

C. Energy

Step-by-step explanation:

The predator is looking for the energy needed in order for it to survive which it finds in its prey.

The predator-prey relationship is primarily based on the quest for energy.

Option C is the correct answer.

We have,

Predators hunt and consume prey in order to obtain energy for their survival.

The prey, on the other hand, tries to evade predation and secure its own energy resources for survival.

The interaction between predators and prey is driven by the need for sustenance and the transfer of energy within an ecosystem.

While factors like space, symbiosis, and even occasional instances of help between species can play a role in the dynamics of ecosystems, the primary driving force behind the predator-prey relationship is the quest for energy.

Therefore,

The predator-prey relationship is primarily based on the quest for energy.

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Answer:

\(1\frac{5}{9}\)

Step-by-step explanation:

This is the answer because:

1)  Reduce the expression, if possible, by cancelling the common factors.

2) You can also find the reciprocal of 1 1/2 = 3/2 while dividing the expression:

1. Convert both fractions into improper fractions:

\(2\frac{1}{3} = \frac{7}{3}\)

\(1\frac{1}{2} = \frac{3}{2}\)

2. Divide both fractions:

\(\frac{7}{3}\) ÷ \(\frac{3}{2}\) = \(\frac{7}{3}\) x \(\frac{2}{3}\) = \(\frac{14}{9}\) = \(1\frac{5}{9}\)

Therefore, the answer is \(1\frac{5}{9}\)

Hope this helps! :D

Answer:

4:30

Step-by-step explanation: if she arrives one fourth hour later its......

When Winona leaves her home at 4:15 and arrives at the theatre after one-fourth hour i.e. 15 minutes so the time when she arrived is 4:30.

Since at the time when Winona leaves her home at 4:15 and arrives at the theatre after 15 minutes

So, she arrived at the time

= 4: 15 +  15 minutes

= 4:30

Hence, When Winona leaves her home at 4:15 and arrives at the theatre after one-fourth hour i.e. 15 minutes so the time when she arrived is 4:30.

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Answer:

It is 54.

Step-by-step explanation:

You divide 36 by 2/3.

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

In the circle on the left bottom, 4

the circle on the right bottom, 5

the square on the right, -15

Answer:

1/3 probability

Step-by-step explanation:

The probability that you flip heads is 1/2, one heads out of two possible (heads and tails).

The probability that you draw a purple marble is 2/3, two purples and three total (2 p +1 w).

To find the probability of both happening, multiply the probabilities together:

(1/2) * (2/3) = (2/6) = (1/3)

Answer: 170

Step-by-step explanation:

If you’re looking for 5780 divided by 34 it’s 170. But if you wanted 34 divided by 5780 it’s 0.005882.

Im pretty sure the answer you’re looking for is the first one XD

Just remember that you always divide the big number by the smaller one :).

I hope you found my answer helpful! If you did, give it a thanks. You can even give it a brainliest if you feel like it ;D

The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.

Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.

1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is:   8+4+4+4+4=24 units.

2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.

The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.

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Answer:

jiwkjsiskkbibfsbbonhkihj

Answer:

Troy ran 228 miles.

Step-by-step explanation:

Ashlynn (a) ran 19 miles. Troy (t) ran 3 times as many miles as Edwin, and Edwin (e) ran 4 times as many miles as Ashlynn.

So,

a=19

E=a•4

t=e•3

Knowing a=19, we can solve the first equation. e=19•4, 19•4=76 so e=76

Knowing e=76 we can solve the second equation t=76•3, 76•3=228 so t=228

Answer:

Ashlynn is my name!

Step-by-step explanation:

Answer:

b = 5

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 13^2

144+b^2 =169

Subtract 144 from each side

144-144+b^2 = 169-144

b^2 = 25

Take the square root on each side

sqrt(b^2) = sqrt(25)

b = 5

Answer:

B= 5

Step-by-step explanation:

In the research effort where a researcher want to survey the people at the local pool about the food served in the snack shack by deciding to walk around the kiddy pool and survey parents, this is an example of random sample because every parent in the pool have equal chance of being chosen for the study.

A random sample is drawn at random from the entire population to represent the entire data set, with each member having an equal chance of being chosen. Researchers can generate a random sample by employing techniques such as lotteries or random draws.

Because the data set is chosen using random selection, every member of the population has an equal chance of being chosen.

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The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

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Answer:

C. Neither

Step-by-step explanation:

The lowest point on the graph occurs at point (3π/2,  -1)

One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.

The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.

The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation

The attached graph shows sine function graph plotted with the interval [0, 2pi]

The lowest point is observed to occur at  (3π/2,  -1)

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Answer:

198 cents or
1.98 dollars

Step-by-step explanation:

Answer:

11) 40

12)113

13) 105

11) 180-65-75

12) 180 - (180-62-51)

13) 360-100-60-95

Using the tables to answer the question, the correct option is D.

Only table B represents a function

A relation/table will represent a function if each value of x is attached to a unique value of y.

That is, no value of x must be mapped to more than one value of y.

By considering the tables represented

Set A = {(-5, 2), (-8, 5), (-5, 8)}

As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.

Set B = {(-5, 2), (-8, 5), (-11, 2)}

As shown above, all values of x have different values of y. Therefore, table B represents a function.

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Answer:

Step-by-step explanation:

y=3+(3x/4) or y=3+(0,75x)

Answer:

8

Step-by-step explanation:

you have to add 25 on both sides then you get 5x<40 then you divide 40 by 5 and you get 8

hope this helps dont 4get to like and star

-mercury

Answer:

f(y) = 12 + 4x

Step-by-step explanation:

Output is 12 more than 4 timea the input

The dependent variable = y

The dependent variable = x

The input is the independent variable, x

Output is the dependent variable, y

Output = 12 + (4 * input)

Hence, the function rule can be written has :

f(y) = 12 + 4x

The Root Test is inconclusive and we cannot determine whether the series converges or diverges using this test alone.

To determine whether the series is convergent or divergent, we can use the Root Test. The Root Test states that if the limit of the nth root of the absolute value of the nth term of a series approaches a value less than 1, then the series converges absolutely. If the limit approaches a value greater than 1 or infinity, then the series diverges.

Using the Root Test on the given series, we have:

lim(n→∞) (|n^2 + 45n^2 + 7|)^(1/n)
= lim(n→∞) [(n^2 + 45n^2 + 7)^(1/n)]
= lim(n→∞) [(n^2(1 + 45/n^2) + 7/n^2)^(1/n)]
= lim(n→∞) [(n^(2/n))(1 + 45/n^2 + 7/n^2)^(1/n)]
= 1 * lim(n→∞) [(1 + 45/n^2 + 7/n^2)^(1/n)]

Since the limit of the expression in the brackets is 1, the overall limit is also 1. Therefore, the Root Test is inconclusive and we cannot determine whether the series converges or diverges using this test alone.

However, we can use other tests such as the Ratio Test or the Comparison Test to determine convergence or divergence.

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The limit exists and is finite, the sequence converges, and the limit is 1

To determine whether the sequence converges or diverges, and to find the limit if it converges, we will analyze the given sequence as n approaches infinity:

an = (7 + 5n²) / (n + 5n²)

First, divide both the numerator and the denominator by n² to simplify the expression:

an = (7/n² + 5) / (1/n + 5)

Now, let's take the limit as n approaches infinity:

lim (n→∞) an = lim (n→∞) (7/n² + 5) / (1/n + 5)

As n approaches infinity, the terms 7/n² and 1/n approach 0:

lim (n→∞) an = (0 + 5) / (0 + 5) = 5/5 = 1

Since the limit exists and is finite, the sequence converges, and the limit is 1.

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Answer:

4,234 dekaliters converted to milliliters is 42340000.

Step-by-step explanation:

Answer: Your answer is going to be 42340000 millimeters.

Step-by-step explanation:

Find out how much one dekaliter is worth; multiply by that amount.

Answer:

Step-by-step explanation:

787.490566

Answer:

2 + 2 + 5 × 18 ÷ 2 + 745 - 345 ÷ 53  = 787.490566038

hope this helps

The constant of proportionality is equals to four quarters per dollar. The one dollar amount is equals to four quarters.

The constant of proportionality is the ratio of the called proportional relationship that relates two given values to each other. Other names for constant of proportionality are constant ratio, constant rate, unit rate etc . Formula :

We have, a proportional relationship between the amount of money in dollars, x, and the number of quarters, y. Now, we have to calculate constant of proportionality for provide data.

x ( dollars) 4 7 11 13

y(quarters ) 16 28 44 52

a) constant of proportionality, k = y/x = 16/4 = 4

b) constant of proportionality,k = 28/7 = 4

c) constant of proportionality, k = 44/11 = 4

d) constant of proportionality,k = 52/13 = 4

So, the constant of proportionality,k = 4 quarters per dollar , that is one dollar = four quarters.

Hence, one dollar is equals to 4 quarters.

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Answer:

GI = 6.7

Step-by-step explanation:

Trigonometry Ratios:

Hypotenuse is given and we need to find GI - Adjacent side of ∠42°.

          \(\sf Cos \ \angle 42^\circ = \dfrac{adjacent \ side}{hypotenuse}\\\\Cos \ \angle42^\circ = \dfrac{GI}{9}\\\\0.7431 = \dfrac{GI}{9}\)

    0.7431* 9  = GI

                  GI = 6.6879

                   GI = 6.7