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spin [16.1K]
2 years ago
14

-2log5 7x=2 the 5 is small please help me

Mathematics
1 answer:
RSB [31]2 years ago
3 0
-2log_5 7x = log_5 2

log_5[1/(7x)^2] = log_5 2

log_5(1/49x^2) = log_5 2

log_5(1 - 49x^2) = log_5 2

1 - 49x^2 = 2

You finish.

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PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.
grin007 [14]

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

4 0
2 years ago
It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton
Sveta_85 [38]

Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, v_{ave} = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, v_{ave} = (230 miles)/(4.75 hours)

∴ v_{ave} = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, v_{ave} ≈ 48.4 mph

3 0
3 years ago
Help.............plz........thx
Ostrovityanka [42]

I believe the answer would be D.

5 0
2 years ago
For a science report, Doug is measuring widths of mushrooms with a ruler that divides inches as shown. To determine each width,
Serga [27]
From the 3 options listed, both 5.25 in and 6.5 in could be measures found using a ruler with eighth inches marked, because those decimals can be written in terms of eighth fractions.

5.25 $in $ \rightarrow (5 + 0.25) $in $ \rightarrow (5 +  \frac{2}{8} ) $in$ \\ 
6.5 $in $ \rightarrow (6 + 0.5) $in $ \rightarrow (5 +  \frac{4}{8} ) $in$

The other option, 7.1 in, is not a possibility because 0.1 cannot be written as a fraction of 8 that is marked on the ruler.
7 0
3 years ago
In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .
frozen [14]

Answer:

x = 11

Step-by-step explanation:

In ΔSTU ,

m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°

According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.

So,

11x + 3 + 2x + 16 + x + 7 = 180

=  > 14x + 26 = 180

=  > 14x = 180 - 26 = 154

=  > x =  \frac{154}{14}  = 11

6 0
2 years ago
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