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OLEGan [10]
4 years ago
12

What is the solution 7^x=49

Mathematics
1 answer:
Ede4ka [16]4 years ago
6 0

Answer:

x=2

Step-by-step explanation:

Divide 49 by 7, and you get 7 which is a perfect square

Let's test it out!

7^x=49

7^(2)=49

49=49

It works out!

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4.69 divided by 3.5 please help
PilotLPTM [1.2K]

Answer:

1.34

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit
wolverine [178]

Answer:

(a)\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}

(b)P'(5)=-($4.54) Thousand

(c)P'(11)=-($2.10) Thousand

(d)The fifth Month

Step-by-step explanation:

Given the monthly profit model:

P(t)=\frac{240t-40t^2}{t^2+20}

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

P(t)=\frac{240t-40t^2}{t^2+20} using quotient rule.

\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}

Simplifying

\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}

P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}

=-($2.10) Thousand of dollars

(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.

6 0
3 years ago
What is the expanded form and word form of it
Gre4nikov [31]
EXPANDED FORM - 300,000+10,000+ 4,000+ 200+ 00+ 7

WORD FORM -three hundred fourteen hundred thousand and two hundred and seven.
8 0
3 years ago
what is the multiplicative rate of change for the following coordinates (-1, .8) (0,2) (1,5) (2,12.5)
egoroff_w [7]
We can present these coordinates in tabulate form

    x         y
   -1       0.8
   0         2
    1         5
    2      12.5

We work the multiplicative rate of change by finding out the increase ratio

12.5 ÷ 5 = 2.5
5 ÷ 2 = 2.5
2 ÷ 0.8 = 2.5

The ratio results in the same ratio every time, which is 2.5

The multiplicative rate of change = 2.5


5 0
4 years ago
Heong cut a slice of birthday cake. The slice formed the angle shown. What is the measure of the angle shown?
Kitty [74]
Do you have a picture?
8 0
4 years ago
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