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3 years ago

Solve, leaving in terms of a logarithm, with steps please! 160(0.4^x) +1=321

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

4 0

Answer:

321

Step-by-step explanation:

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My sister can walk from school to home in 35 minutes. I can walk from school to home in 20 minutes. But today I stayed for some

Verizon [17]

Answer:

you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

Step-by-step explanation:

Let "d" be distance from school to home.

Let's find the speed of you and your sister.

Speed = $\frac{Distance}{Time}$

Your speed = $\frac{d}{20}$

Your sister's speed = $\frac{d}{35}$

Today, You stayed for some extra help by the time your sister covered $\frac{3}{7}$ of the way home.

Remaining distance to reach the home = $1 - \frac{3}{7}d = \frac{7-3}{7}d = \frac{4}{7}d$

Now let's find the time to be taken your sister to reach the home.

Time = $\frac{distance}{speed}$

= $\frac{\frac{4}{7}d }{\frac{1}{35} d} = \frac{4}{7} *\frac{35}{1} = 20$

So, your sister will take 20 minutes to get home by the time your start.

We know that it takes you 20 minutes to reach your home.

Therefore, you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

7 0

3 years ago

What value of P makes the equation true 12-p+5=9<br> P=4<br> P=6<br> P=8<br> P=16

harkovskaia [24]

Answer:

p= 8

Step-by-step explanation:

just collect the like terms together

12+5-9= p

p= 8

7 0

2 years ago

Please help me there are 2 answers Thank you

yaroslaw [1]

Answer:

m = 7, m = -15

Step-by-step explanation:

The absolute value makes it so we can make two equations:

m + 4 = 11 and m + 4 = -11.

solve the equations:

m + 4 = 11

m = 7

and

m + 4 = -11

m = -15.

6 0

3 years ago

(11 – 3)2 x (-12) = 4

skelet666 [1.2K]

Hope that’s right!!!

6 0

3 years ago

Read 2 more answers

Given that x overbarequals3.6667, s Subscript xequals2.0656, y overbarequals4.2167, s Subscript yequals1.5613, and requalsne

Shtirlitz [24]

Answer:

$y = 0.7063x+2.7790$

Step-by-step explanation:

Given that

$x bar = 3.6667\\s_x= 2.0656\\y bar = 4.2167\\s_7 = 1.5613\\r = -0.9344$

We have slope of linear regression line is

$a=r*\frac{s_y}{s_x} =0.9344(\frac{1.5613}{2.0656} )\\=0.7063$

So regression line would be of the form

$y-4.2167 = 0.7063(x-2.0656)$ (since it passes through xbar, y bar)

$y = 0.7063x+2.7790$

is the equation of regression line.

6 0

3 years ago