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3 years ago

Solve 1n(5x+7) = 8. Round to the nearest thousandth. Show your work. Can anyone help me? I can't seem to figure this one out!

Mathematics

1 answer:

iogann1982 [59]3 years ago

8 0

(1): "c0" was replaced by "c^0".

(2): Dot was discarded near "1.j". 1 more similar replacement(s)

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

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What is the greatest common factor of 125 and 250?

Anna71 [15]

Answer:

125

Step-by-step explanation:

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.. Discuss the nature of the root of equation x2 + 2x + 3 = 0

Mariana [72]

Answer:

No real roots

Step-by-step explanation:

Given equation:

x² + 2x + 3 = 0

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

$~$

Two Distinct real roots, if b² - 4ac > 0
Two equal real roots, if b² - 4ac = 0
No real roots, if b² - 4ac < 0

$\\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\$

The discriminant is smaller than 0.

Hence, Equation has no real roots (no solution)

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2 years ago

A rectangeler prism has a volume of 72 cubic units. How many unit cubes will fill the rectangular exactly

makvit [3.9K]

Answer:

4608 cubes

Step-by-step explanation:

It is very important to note that:

1 cube in a Rectangular Prism has a side length of 1/4

The volume of 1 cube = (side length)³

= (1/4)³ cubic units

We are told in the above question that:

A rectangular prism has a volume of 72 cubic units.

The number of unit cubes that will fill the rectangular prism exactly is calculated as:

72 cubic units ÷ (1/4)³ cubic units

= 72 cubic units ÷ (1/64) cubic units

= (72 × 64 ) cubes

= 4608 cubes

Therefore, the number of unit cubes that will fill the rectangular prism exactly is 4608 cubes

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3 years ago

Vivi is a drummer for a band. She burns 756 calories while drumming for 3 hours. She burns the same number of calories per hour.

sineoko [7]

Divide 756 by 3 to find out how many calories is burned per hour.

756 / 3 = 252
prove this by doing
252 * 3 = 756

Therefore, Vivi burns 252 calories per hour.

Hope this helped! (:

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