To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace $\theta$ by _____.

This operator determines whether one string is contained inside another string. a. contains b. is_in c. == d. in

A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes?

The germination time of a seed in days is modeled as having a constant hazard rate of 0.31. (a) What is the probability that a seed has not germinated after 6 days? (b) What is the probability that a seed germinates within 2 days?

The sides of a backgammon die are marked with the numbers 2, 4, 8, 16, 32, and 64. Describe an outcome that has a probability of $\frac{2}{3}$.

If you see green light of 520-nm wavelength when looking at the nearest part of a soap bubble of uniform thickness, why will you see longer wavelength light when looking at the sides of this green region?

The volume V of a cube of side x meters is $V=V(x)=x^{3}.$ Find the instantaneous rate of change of the volume with respect to the side x at x = 3.

Write each fraction in simplest form.

$$\frac { 27 } { 63 }$$

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The Constitution gives the president the power to appoint government officials, with Senate approval. Do you think that this power gives the president too much influence on the government? Why or why not?

Which of the following pairs are complex conjugates? Select all that apply. A. 5 + 4i and -5 - 4i B. 2 - i and 2 + i C. 6 + 8i and 8i + 6 D. 9 + 2i and 9 - 2i

We showed that the mutually orthogonal vectors i, j, and k form a linearly independent set of vectors in R³. (a) Do you think that every set of three nonzero mutually orthogonal vectors in R³ is linearly independent? Justify your conclusion with a geometric argument.(b) Justify your conclusion with an algebraic argument. [Hint: Use dot products.]

A vehicle uses $1$ tablespoon of gasoline to drive $125$ yards. How many miles can the vehicle travel per gallon? Round your answer to the nearest mile.

Describe the sequence using words and symbols. 7, 14, 21, 28, ...

Respond using verbal or written explanations. If you purchase ten lottery tickets, explain how you determine the probability of winning the lottery. How do you find the number in the numerator of the probability fraction and the number in the denominator of the probability fraction?