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castortr0y [4]
2 years ago
13

Need answer fast with all the steps included please

Mathematics
1 answer:
marysya [2.9K]2 years ago
6 0

Answer:

(\frac{6x^2y}{5})

Step-by-step explanation:

Given

\frac{(2x)(3x^3y^2)}{5x^2y}

Required

Solve

Open the brackets

\frac{(2x)(3x^3y^2)}{5x^2y} = \frac{(2x*3x^3y^2)}{5x^2y}

\frac{(2x)(3x^3y^2)}{5x^2y} = \frac{(6x^4y^2)}{5x^2y}

Apply law of indices:

\frac{(2x)(3x^3y^2)}{5x^2y} = \frac{(6x^{4-2}y^{2-1})}{5}

\frac{(2x)(3x^3y^2)}{5x^2y} = \frac{(6x^2y)}{5}

\frac{(2x)(3x^3y^2)}{5x^2y} = (\frac{6x^2y}{5})

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A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
kobusy [5.1K]

Answer:

y=1/4x

Step-by-step explanation:

y=mx+b slope is m rise over run 4 over 1 up so 1/4 then to find y intercept apply slope y int is 0

7 0
3 years ago
The  area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is
Pie

We know that the points at which the parabola intersects the x axis are

(-5,0) and (1,0)

So the extent between these two points would be the base of the triangle

lets find the length of the base using the distance formula

\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}

the base b=6

We will get the height of the triangle when we put x=0 in the equation

y=a(0+5)(0-1)

y=-5a

so height = -5a (we take +5a since it is the height)

We know that the area of the triangle =

\frac{1}{2} × 6 × (5a) = 12

15a=12

a= \frac{4}{5}


7 0
3 years ago
What is the area of this figure?
s2008m [1.1K]

Step-by-step explanation:

it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).

we only need to calculate all 3 areas and add them up for the total.

the area of a rectangle is

length × width

so, in our 2 cases we have

6 × 2 = 12 km²

5 × (3 + 2 + 3) = 5×8 = 40 km²

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

so, in our case

6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²

in total, the whole area is

12 + 40 + 39 = 91 km²

4 0
2 years ago
An international company has 26,900 employees in one country. If this represents 26.2% of the company's employees, how many empl
9966 [12]
There are 7048 employees in total
8 0
3 years ago
Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

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 = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
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