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3 years ago

HELP PLEASE ASAP

Mathematics

2 answers:

Ksju [112]3 years ago

3 0

Step-by-step explanation:

the correct ones :

7³/7² =7

2^10/2 = 2^9

tatiyna3 years ago

3 0

Answer:

A and C

Step-by-step explanation:

A. 7³/7² = 7³⁻² = 7¹ = 7, correct
B. (18³)³ = 18³*³ = 18⁹ ≠ 18⁶, incorrect
C. 2¹⁰/2 = 2¹⁰⁻¹ = 2⁹, correct
D. (9²)⁴ = 9²*⁴ = 9⁸ ≠ 9⁶, incorrect
E. 10⁵/10² = 10⁵⁻² = 10³ ≠ 10⁷, incorrect

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A

alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

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T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) = 128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) = 128°(0.989)^22.3 + 72 = 172°

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Harlamova29_29 [7]

Answer:

Total number of possible combinations are 6

Length width

23 dm 2m

21 dm 4 dm

19 dm 6 dm

17 dm 8 dm

15 dm 10 dm

13 dm 12 dm

Step-by-step explanation:

We are given that

Perimeter of rectangular garden=50 dm

Width is even number.

Length is always longer than or equal to width.

Let length of rectangular garden=x

Width of rectangular garden=y

We have to find the possible number of combinations .

Perimeter of rectangular garden= $2(x+y)$

$2(x+y)=50$

$x+y=50/2$

$x+y=25$

If y=2 dm

x=25-2=23 dm

If y=4 dm

x=25-4=21 dm

If y=6 dm

x=25-6=19 dm

If y=8 dm

x=25-8=17 dm

If y=10 dm

x=25-10=15 dm

If y=12 dm

x=25-12=13 dm

If y=14 dm

x=25-14=11 dm

x<y

It is not possible

Then, possible combinations are 6

Length width

23 dm 2m

21 dm 4 dm

19 dm 6 dm

17 dm 8 dm

15 dm 10 dm

13 dm 12 dm

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