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lions [1.4K]
3 years ago
5

Solve the given equation 7ex – 9 = 10

Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer: x = 10.18

Step-by-step explanation:

7ex – 9 = 10

(x-9)*ln7 = ln 10

x-9 = 2.30/1.95

x = 10.18

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Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.
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Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

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Where: c(p) = total cost of sugar bought
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Step-by-step explanation:

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One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which
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First recognize that the unit rate we're finding is gallons per hour, or \frac{g}{h}.

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rate for Tank 2 = y gallons per hour = <em>c</em> gallons / <em>d</em> hours

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3 years ago
(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
ElenaW [278]
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

=  </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i.    Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)           
                      =  8 - 6i + 8y - 6yi
                      =  8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
                       =  8i  + 8yi - 6i² - 6yi²
                       =  8i  +  8yi - 6(-1) - 6y(-1)  
                       =  8i  +  8yi  + 6 + 6y
                       =  6 + 6y + 8i + 8yi
                       =  (6 + 6y) + (8 + 8y)i    In the form a + bi
5 0
2 years ago
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Free_Kalibri [48]

Answer:

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Step-by-step explanation:

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