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3 years ago

Divide: 2 ÷ 1/2 2 16 8 4

Mathematics

2 answers:

abruzzese [7]3 years ago

8 0

Answer:

Step-by-step explanation:

stealth61 [152]3 years ago

4 0

Answer:

Step-by-step explanation:

2/1 * 2/1 = 4

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A swimming pool with the

musickatia [10]

Answer:

Step-by-step explanation:

Step one:

given that the dimensions are

length=3cm

width=4cm

hieght= 7cm

the volume of the pool is= lwh

volume=3*4*7= 84cm^3

Step two:

the cost of filling

we are told that 1cm^3 will cost $0.15

hence 84cm^3 will cost x

cross multiply

x= 0.15*84

x=12.6

<u>The cost of filling the pool will be $12.6</u>

8 0

3 years ago

52.Consider the functionsf(x) = 2* x+6 and g(x) = 5*2x.

likoan [24]

Answer:

$x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\\x \approx 1.65$

Step-by-step explanation:

Given

$f(x) = 2^{\left(x+6\right)}$

$g(x) = 5^{2x}$

We want to find $f(x) = g(x)$

For this you need to:

if $f(x) = g(x)$ , then $\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(2^{x+6}\right)=\ln \left(5^{2x}\right)$

Apply log rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\left(x+6\right)\ln \left(2\right)=2x\ln \left(5\right)$

Solve for x

Expand $\left(x+6\right)\ln \left(2\right) = \ln \left(2\right)x+6\ln \left(2\right)$

$\ln \left(2\right)x+6\ln \left(2\right)=2x\ln \left(5\right)$

$\ln \left(2\right)x=2x\ln \left(5\right)-6\ln \left(2\right)\\\ln \left(2\right)x-2x\ln \left(5\right)=-6\ln \left(2\right)\\\left(\ln \left(2\right)-2\ln \left(5\right)\right)x=-6\ln \left(2\right)\\\\x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\approx 1.65$