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sukhopar [10]
3 years ago
12

It would take an apprentice house painter 1.5h longer than his supervisor to paint an apartment. If they work together they can

complete the job in 4 hr. About how long would it take the apprentice to complete the job working alone?

Mathematics
1 answer:
never [62]3 years ago
4 0
---------------------------

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Find the area of a rectangle whose perimeter is 60in and width is 10in.
Dafna1 [17]

Answer:

250 sq. inch

Step-by-step explanation:

Perimeter: 60 inch

: 2 X L+B

: 2 X ? + 10

Length: 60-10

: 50/2

: 25 inch

Area: L X B

: 25 X 10

: 250 sq.inch

Hope it helps ;)

Please tell if it's correct

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3 0
2 years ago
What is the common ratio of the geometric sequence 9, 72,576, ...
AysviL [449]

Answer:

Hello! The answer is 8 : 1

Step-by-step explanation:

9 x 8 = 72

72 x 8 = 576

There is a pattern here.

_AnnieTheDreamGirl, 3/9/2022

8 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
Which equation is equivalent to<br><br> f(x) = 16x4 – 81 = 0?
Vesna [10]

Answer:

The equivalent expression is:

16x^4-81=(4x^2-9)(4x^2+9)

Step-by-step explanation:

We have been given the equation:

f(x)=16x^4-81=0

Equivalent expression can be computed by solving the expression ai its maximum.

We can factorize the given equation:

By using a^2-b^2=(a+b)(a-b)

Here, a=4x^2,b=9

Hence, we get the equation below:

16x^4-81=(4x^2-9)(4x^2+9)

Therefore, the equivalent expression is:

16x^4-81=(4x^2-9)(4x^2+9)

5 0
3 years ago
Read 2 more answers
Suppose marginal benefit of your first cup of coffee is $4 of your second is $3, and your third is $2 . If the price of coffee i
enot [183]
I would buy 69 cups of coffee
7 0
2 years ago
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