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3 years ago

Simplify the following expression. 3^0 simplified form:

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

Answer:

Step-by-step explanation:

Anything to the power of 0 equals to 1

Since this is 3 to the power of 0, it will equal to 1

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Anastaziya [24]

Answer:

C. m(h) = 5.25h; $11.81

Step-by-step explanation:

Answer: Crystal will earn $11.81.

Step-by-step explanation:

Since we have given that

Cost per hour mowing lawns = $5.25

Let the number of hours be 'h'.

Let the amount of money be 'm'

So, According to question, we get

Here h = 2 hours and 15 minutes

So,

So, Crystal will earn if she works for 2 hours and 15 minutes will be

Hence, Crystal will earn $11.81.

8 0

3 years ago

A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the wid

drek231 [11]

Answer:163.54$

Step-by-step explanation:

Given data

Volume of Storage(V)= ${10m^3}$

Length=2breadth

Let Length be L,Breadth be & height be H

therefore

10=LBH

Now substitutes the values

10=2 ${B^2}H$

5= ${B^2}H$

Now cost for base is ${C_1}=2{B^2}\times10$

Cost for side walls is ${C_2}={2LH}\times6+2BH}\times6$

Now total cost(C)= ${C_1}+{C_2}$

C=20 ${B^2}H$ + ${2LH}\times6$ + $2BH}\times6$

C=20 ${B^2}H$ +24BH+ $12BH$

C= $20{B^2}+36B\times\frac{5}{B^{2}}$

Now Differentiating With respect to Breadth to get minimum cost

$\frac{\mathrm{d} C}{\mathrm{d} B}=0$

$we\ get\ B=\sqrt[3]{4.5}=1.65m$

$L=3.30m$

$H=1.836m$

and mimimum cost C

${C=163.54\$}$

7 0

4 years ago

REALLY APPRECIATE YOUR HELP<br><br>Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y

anyanavicka [17]

Answer:

$if \: log(x ) = 3 \\ log_{10}(x) = 3 \\ {10}^{3} = x \\ therfore \to \: \boxed{x = {10}^{3} } \\ \\ if \: log(y ) = 2 \\ log_{10}(y) = 2 \\ {10}^{2} = y \\ therfore \to \: \boxed{y= {10}^{2} }$

Step-by-step explanation:

$x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{5} ) \\ {10}^{6} = 300000 + 700000 \\ \boxed{{10}^{6} = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}$

♨Rage♨

3 0

3 years ago

Please help me !! D is also an option but I couldn't get it in the picture

LiRa [457]

Answer: A) (-1, 0) to (1, 2)

<u>Step-by-step explanation:</u>

Complex numbers are written in the form of ai + b ; where "a" represents the x-coordinate and "b" represents the y-coordinate --> (a, b)

-i → -1i + 0 → (-1, 0)

2 + i → 1i + 2 → (1, 2)

Which graph connects those two coordinates? OPTION A

5 0

4 years ago

Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the sam

NISA [10]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago