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2 years ago

Select the best description of exponential equation

Mathematics

1 answer:

konstantin123 [22]2 years ago

6 0

Please insert a image but i think the answer would be C or B

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Find the side length of the equilateral triangle whose area is the square root of 3 cm2

Alla [95]

Here, Given

Area of Equilateral triangle = 3cm2

therefore, we know;

Area of Equilateral triangle =( $\sqrt{3}$ ÷4)× $a^{2}$

so,

3 =( $\sqrt{3}$ ÷4)× $a^{2}$

3÷( $\sqrt{3}$ ÷4) = $a^{2}$

2.63 cm = a .

The area of an equilateral triangle is the area covered by an equilateral triangle on a two-dimensional plane. An equilateral triangle is a triangle with all sides equal and all angles at 60 degrees. The area of the shape is the number of unit squares that fit inside.

Here, "unit" refers to 1, and a unit square is a square with one side. Alternatively, the area of an equilateral triangle is the total amount of space it surrounds in a two-dimensional plane.

Learn more about Area of triangle here: brainly.com/question/17335144

#SPJ4

6 0

2 years ago

A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar

a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1200, \sigma = 60$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

$Z = \frac{X - \mu}{\sigma}$

$-2.325 = \frac{X - 1200}{60}$

$X - 1200 = -2.325*60$

$X = 1060.5$

The bulbs should be replaced each 1060.5 days.

4 0

2 years ago

Factor by grouping. 9c^3-12c^2+18c-24

xeze [42]

Answer:

$9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]$

Step-by-step explanation:

Given

$9c^3 - 12c^2 - 18c - 24$

Required

Factor

Group into 2

$[9c^3 - 12c^2] - [18c + 24]$

Factorize each group

$3c^2[3c - 4] - 6[3c - 4]$

Factor out 3c - 4

$[3c^2 - 6][3c - 4]$

Hence:

$9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]$

8 0

2 years ago

I need he answer pls answer fast answer don’t scam

Viktor [21]

Answer:

30 ft²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b)h

a = 6 ft , b = 9 ft , h = 4 ft

Area = 1/2 (6 + 9) 4

= 30 ft²

6 0

2 years ago

Read 2 more answers

Which statement can be used to fill in the blank space?

liberstina [14]

If we draw a diagonal which will also be a transversal DB, then we get ∠ADB is congruent to ∠CBD by Alternate interior angles.

It will be the first option.

7 0

3 years ago