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3 years ago

For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8

Mathematics

1 answer:

Setler79 [48]3 years ago

5 0

B. 9-5=4. That's it.

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What is the area of the 3/4foot by 5/6 foot rectangle

marishachu [46]

Answer:

5/8 square feet

Step-by-step explanation:

$\dfrac{3}{4}\cdot \dfrac{5}{6}=\dfrac{3\cdot 5}{4\cdot 6}=\dfrac{15}{24}=\dfrac{5}{8}$ . Hope this helps!

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3 years ago

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

$V(t) = V(0)(1-r)^{t}$

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that $r = 0.16$

$V(t) = V(0)(1-r)^{t}$

$V(t) = V(0)(1-0.16)^{t}$

$V(t) = V(0)(0.84)^{t}$

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

$V(t) = V(0)(0.84)^{t}$

$0.5V(0) = V(0)(0.84)^{t}$

$(0.84)^{t} = 0.5$

$\log{(0.84)^{t}} = \log{0.5}$

$t\log{0.84} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.84}}$

$t = 3.98$

The half life of the car is 3.98 years.

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3 years ago

The price paid for

goldfiish [28.3K]

The answer should be 1.80

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3 years ago

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Find the number that comes after 144five

Over [174]

Answer:

The number that comes after 144five is:

= 200five.

Step-by-step explanation:

Adding 1 to 144 base 5 will result in:

144

+ 1

= 200

b) To obtain the next number that comes after 144five, add 1five to 144five. Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward. When 1 is added to the next 4, the result will be 0 with 1 carried backward. 1 added to 1 = 2, all in base 5. Figures in base 5 cannot exceed 4. The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

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2 years ago

A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810

marta [7]

assuming 10 numbers ( 0-9)

and 26 letters (A-Z)

10^4 x 26^2 = 6,760,000

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3 years ago

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