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2 years ago

A gym employee is paid monthly. After working for three months, he had earned $4,500. To

Mathematics

1 answer:

Leto [7]2 years ago

5 0

Answer:

$9000

Step-by-step explanation:

A gym employee has earned in 3 months =$4500

Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

= 6×$1500=$9000

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Find the point on the plane 4x+3y+z=10 that is nearest to (2,0,1). What are the values of x, y, and z for the point? x= 28 /

MariettaO [177]

Answer:

$\frac{1}{\sqrt{26}}$ .

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = $\frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}$

where $(x_0,y_0,z_0)=(2,0,1)$ , A=4, B=3, C=1 and D=-10. So, the distance is

d = $\frac{|8+1-10|}{\sqrt{16+9+1}}$

d = $\frac{|-1|}{\sqrt{26}}$

d = $\frac{1}{\sqrt{26}}$ .

4 0

2 years ago

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

$\Rightarrow t=16.34$

8 0

2 years ago

Read 2 more answers

What ja the slope intercept form of (-6,-3) and (-9,-2)

Y_Kistochka [10]

In order to find the slope intercept form of the given coordinates above (-6,-3)(-9,-2) then you need to use the point slope formula :y-y1=m(x-x1) .now allyou have to due is to label each of the given coordinates x1,y1 and x2 ,y2.This will help with the differentiation of the given coordinates.Once you have done this apply the info within the formula ,and you will get an answer of :y= -1/3x - 5 ,and of course your slope is -1/3 and the y-intercept is -5 .

6 0

2 years ago

Three students, Angie, Bradley, and Carnell, are being selected for three student council offices: president, vice president, an

Marysya12 [62]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A city park designer is designing a new park. The park will be shaped like a right triangle and there will be two pathways for p

Aloiza [94]

Answer:

VW=36

VT=27

Step-by-step explanation:

VW is the midsegment of the triangle

VW=72/2

=36

VXT is a right angle triangle

a²+b²=c²

a=√c²-b²

a=√45²-36²

a=√(45-36)(45+36)

a=√9×81

a=√9×√81

a=27

therefore

VT=27

8 0

2 years ago