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Sliva [168]
3 years ago
12

A construction worker estimates that a kitchen remodel will take 1 person 200 hours. If 5 people work on the job for 8 hours a d

ay, how many days will it take for them to complete the job?
Mathematics
2 answers:
n200080 [17]3 years ago
8 0

Answer:

It will take them five days.

Step-by-step explanation:

So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.

ZanzabumX [31]3 years ago
7 0

Answer:

5 days

Step-by-step explanation:

Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days

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Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
3 years ago
In the Accompanying diagram of circle O, chords AB and CD intersect at E, mAC=50 and mBD =150. Find m
galina1969 [7]

Answer:

80

Step-by-step explanation:

3 0
3 years ago
What is the product of 14560 times 10
Andrews [41]
The product of 14560 and 10 is 145600
3 0
3 years ago
Can some one explain please​
inna [77]
What kind of question is this lol ? i don’t even understand it
7 0
3 years ago
A jar of natural peanut butter normally cost $4.00. Today its on sale for $3.60. What is the percentage of the discount
mafiozo [28]

Answer:

Ambitious

Answer

Find out the what is the percentage of this discount .

To prove

Formula

Discount = Marked price - selling price

As given

a jar of natural peanut butter normally costs $4.00 .

it's on sale for $3.60 .

thus

Marked price = $4.00

selling price = $3.60

put in the above formula

Discount = 4.00 - 3.60

              = 0.4

Formula

put the value

Discount percentage = 10%

Option (a) is correct .

Hence proved

8 0
3 years ago
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