Write in equation that represents the line

Afina-wow [57]

Answer:

Third option is the right choice.

Step-by-step explanation:

Manipulate the right hand side.

$\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}$

Best Regards!

6 0

3 years ago

Read 2 more answers

A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?

hoa [83]

First you have your two numbers: 1.5 and 4.
The question explains that they travel 1.5 miles 4 times each, meaning you multiply the two.
1.5×4=6

So, your answer is 6 miles.

Hope this helps!

6 0

2 years ago

Read 2 more answers

If employees who make more money pay a higher percentage of their income

Romashka-Z-Leto [24]

Answer:

C. progressive taxation

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.

5 0

3 years ago

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Ceasar wants to save up his money to buy a house. He currently has $32,000 in his savings account and wants to have $275,000. Wh

fredd [130]

Answer:

75.9375%

Step-by-step explanation:

We apply the simple interest formula;

we first determine the amount of accrued interest to be earned;

interest = 275000 - 32000

= 243000

Applying the simple interest formula;

$I=\frac{P*R*T}{100}\\243000=\frac{32000*R*10}{100}\\ 243000=3200R\\R=75.9375$

6 0

3 years ago

A box contains 11 red chips and 4 blue chips. We perform the following two-step experiment: (1) First, a chip is selected at ran

Scilla [17]

Answer:

P(B1) = (11/15)

P(B2) = (4/15)

P(A) = (11/15)

P(B1|A) = (5/7)

P(B2|A) = (2/7)

Step-by-step explanation:

There are 11 red chips and 4 blue chips in a box. Two chips are selected one after the other at random and without replacement from the box.

B1 is the event that the chip removed from the box at the first step of the experiment is red.

B2 is the event that the chip removed from the box at the first step of the experiment is blue. A is the event that the chip selected from the box at the second step of the experiment is red.

Note that the probability of an event is the number of elements in that event divided by the Total number of elements in the sample space.

P(E) = n(E) ÷ n(S)

P(B1) = probability that the first chip selected is a red chip = (11/15)

P(B2) = probability that the first chip selected is a blue chip = (4/15)

P(A) = probability that the second chip selected is a red chip

P(A) = P(B1 n A) + P(B2 n A) (Since events B1 and B2 are mutually exclusive)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/21) + (22/105) = (77/105) = (11/15)

P(B1|A) = probability that the first chip selected is a red chip given that the second chip selected is a red chip

The conditional probability, P(X|Y) is given mathematically as

P(X|Y) = P(X n Y) ÷ P(Y)

So, P(B1|A) = P(B1 n A) ÷ P(A)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(A) = (11/15)

P(B1|A) = (11/21) ÷ (11/15) = (15/21) = (5/7)

P(B2|A) = probability that the first chip selected is a blue chip given that the second chip selected is a red chip

P(B2|A) = P(B2 n A) ÷ P(A)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/15)

P(B2|A) = (22/105) ÷ (11/15) = (2/7)

Hope this Helps!!!

5 0

3 years ago