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lara [203]
2 years ago
10

Find the exact value of sec 3pi/2 If not defined, write undefined.

Mathematics
1 answer:
Olenka [21]2 years ago
6 0

Answer: Undefined

Step-by-step explanation:

Sec 3\pi/2 = 1/Cos(3\pi/2) = 1/0 = Undefined

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Compare the two linear functions. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 3, negative 1, 2, 5,
labwork [276]

Answer:

Step-by-step explanation:

the table :

(-3,8.5) .....x1 = -3 and y1 = 8.5

(-1,5.5) ....x2 = -1 and y2 = 5.5

slope = (y2 - y1) / (x2 - x1) = (5.5 - 8.5) / (-1 - (-3) = - 3 / (-1 + 3) = -3/2

coordinate plane :

(-3,0), (2,0)

notice how u have the same y values of 0....this means u have a horizontal line where no matter what x is, y will always be 0. A horizontal line has a slope of 0. And ur y intercept is (0,0)

the linear function that is in the table contains a negative slope and also has a steeper slope then the one on the coordinate plane <===

3 0
3 years ago
Read 2 more answers
Gary received a 3.5% raise in salary. If he is now paid $140 374.85, what was his previous salary?
Ostrovityanka [42]

Answer:

$135461.73

Step-by-step explanation:

140374.85 decrease 3.5% =

140374.85 × (1 - 3.5%) = 140374.85 × (1 - 0.035) = 135461.73025

3 0
3 years ago
Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are mad
stealth61 [152]

Answer:

The time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Step-by-step explanation:

Given

  • Principle Amount P = $440
  • Accrued Amount A = $640
  • Interest rate r = 5.6% = 0.056
  • Compounded daily n = 365

To determine:

Time period t = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7  (nearest year)

Therefore, the time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

4 0
3 years ago
Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles
emmainna [20.7K]

Answer:

5 inches

Step-by-step explanation:

See attachment for explanation.

4 0
3 years ago
Simplify 6^7/6^5 in index form
Oksanka [162]

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } ⇔ a^{(m-n)} , then

\frac{6^{7} }{6^{5} }

= 6^{(7-5)}

= 6²

6 0
2 years ago
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