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ki77a [65]
4 years ago
12

Which expression is equivalent to 24 ⋅ 2−7?

Mathematics
2 answers:
Law Incorporation [45]4 years ago
4 0
The answer is 211 . Hope that helps:)
marta [7]4 years ago
3 0

Answer:

211

Step-by-step explanation:

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5. The internal dimension of a tank are 14m, 8m and 5m. How much water can be
EleoNora [17]

Answer:

560,000L

Step-by-step explanation:

Given data

L=14m

W=8m

H=5m

Volume= L*W*H

Volume= 14*8*5

Volume= 560 m^3

1m^3 = 1000L

560m^3 = x

cross multiply

x= 560*1000

x= 560,000L

Hence the volume is  560,000L

3 0
3 years ago
An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 gr
dmitriy555 [2]

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

 

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

 

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

 

​  

 

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

 

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

 

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

 

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

5 0
4 years ago
point C (4, -3) is translated left 3 and up 5 and is then dilated by a scale factor of 4. What are the coordinates of C'?
sergeinik [125]

Answer: (4, 8)

Step-by-step explanation:

When you translate something to the left you need to subtract the amount you moved left from the original x input

1. Subtract 3 from the coordinates x input

4 - 3 = 1

When you translate something up you need to add the amount you moved up to the original y output

2. Add 5 to the coordinates y output

-3 + 5 = 2

When done translating to the left and up your coordinate is now (1, 2)

When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output

3. Multiply 4 to the x input and y output of your newley translated coordinate

1 × 4 = 4 (x input)

2 × 4 = 8 (y output)

So now your final coordinate for C' is (4, 8)!

Hope this helps :)

8 0
3 years ago
You made Marcellus 3 times as tall as Dan but you dragged Marcellus’s eyes to be 1 times as far apart as Dan’s eyes. A scale gia
yanalaym [24]

Answer:

15 cm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Vani has a collection of vintage action figures that is worth $140. If the collection
padilas [110]

The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.

<h3>What equation represents the value of the collection?</h3>

When the value of an asset appreciates,it means that the price of the item increases with the passage of time.

The formula for calculating future value with appreciation is:

FV = P (1 + r)^n

  • FV = Future value
  • P = Present value
  • R = interest rate
  • N = number of years

V = 140(1 + 0.15)^2.

To learn more about future value, please check: brainly.com/question/18760477

5 0
3 years ago
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