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mars1129 [50]
3 years ago
10

Is a^-b = -a^b? PLEASE ANSWER!! 99 POINTS

Mathematics
2 answers:
natima [27]3 years ago
3 0
No, 1/a^b (a^-b) doesn't equal -a^b
Nat2105 [25]3 years ago
3 0
Yes a^-b is equal to -a^b
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How can you express 499 to find the product 499×5 using mental math explain
Hoochie [10]
499 = 500 - 1
(500-1)(5) = 2500 -5 = 2495

3 0
3 years ago
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Tell whether x and y show direct variation, inverse variation or - y/4 = 2x
Sophie [7]

9514 1404 393

Answer:

  direct variation

Step-by-step explanation:

The given equation can be written in the direct variation form ...

  y = kx

  y = -8x . . . . rewrite of the given equation (multiply by -4)

This is an example of direct variation.

4 0
3 years ago
The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York
beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and  let the distance covered by KY is y

Total distance covered is  x+y=720   ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t+2=\frac{x}{80} .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t=\frac{y}{60} .......[3]

Put the value of t from [3] into [2]

\frac{x}{80}- \frac{y}{60}=2  ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], y=720-x

\frac{x}{80}- \frac{y}{60}=2

\frac{x}{80}- \frac{720-x}{60}=2

\frac{60x-80(720-x)}{80\times60}=2

60x-57600+80x=9600

140x-57600=9600

140x=57600+9600=67200

x=\frac{67200}{140}=480

Put x=480 in [1]

x+y=720  

480+y=720  

y=240  

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

t=\frac{y}{60}

t=\frac{240}{60}

t=4

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.




7 0
3 years ago
Bonnie purchased a 30 ounce package of chocalte chunk cookies for $2.40.What is the cost per ounce
Sladkaya [172]
.08 cents per ounce, because 2.40 ÷30 =.08
8 0
3 years ago
Which of the following describes the transformation from Figure 1 to Figure 2?​
12345 [234]

Answer:

hi figure 1 is mentioning stuff about trigonomatry ratios

Step-by-step explanation:

6 0
3 years ago
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