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2 years ago

Solve for b. 75 - 15 = 56 - 3 b =

Mathematics

1 answer:

ANEK [815]2 years ago

4 0

Answer:4/3

Step-by-step explanation:

75-15-56=3b

4=3b

b=4/3

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5^(-x)+7=2x+4 This was on plato

Setler79 [48]

Answer:

Below

I hope its not too complicated

$x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

Step-by-step explanation:

$5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}$

$Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}$

$\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x$

$\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

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3 years ago

Add the two expressions. −4x+3 and 2x−5

blondinia [14]

-2x-2 is your equation :) <span />

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2 years ago

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Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial

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9514 1404 393

Answer:

$2838.14

Step-by-step explanation:

Fill in the values and do the arithmetic.

A = 2000e^(0.07·5)

A = 2000e^0.35 ≈ 2838.14

The value of the investment in 5 years will be $2838.14.

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2 years ago

Based on the diagram select all that apply.

Sveta_85 [38]

Answer:

Step-by-step explanation:

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2 years ago

3p^5 x 8p^3 / 2p , help? TvT

Sati [7]

Answer:

The expression 3p⁵ ₓ 8p³ / 2p can be simplified to 12p⁷.

Step-by-step explanation:

To simplify:

3p⁵ ₓ 8p³ / 2p

= (3 ₓ 8)(p⁵ ₓ p³) / 2p

= 24p⁸ / 2p

= 12p⁷

7 0

2 years ago