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2 years ago

Unit 7 - Mid Unit Assessment - Grade 8

Mathematics

1 answer:

Stolb23 [73]2 years ago

8 0

Answer:

1000 times

First, we estimated the Sun's width in terms of the Earth's breadth, then the Star's width in terms of the Earth's breadth, and for comparison, we did simple division, which revealed that the Star KW Sagittarii is 1000 times wider than the Sun.

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. The price of a pair of jeans was reduced from $60 to $48. What was the percent of decrease?

Neko [114]

I Believe it is 80% but I am not sure

5 0

3 years ago

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When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is

wolverine [178]

Answer:

The differential equation is $\frac{dR}{dt} = -kR$

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

$\frac{dR}{dt}$

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

$\frac{dR}{dt} = -kR$

7 0

3 years ago

How many 4 digit multiples can not be divided by 5

Advocard [28]

Answer:

1800

Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

X=3 (mod 5)

X =4 (mod 5)

X=1+5 t where t is any integer.

1+5 t=2 (mod 5)

5 t=1 (mod 5 )

5 is the Modular Inverse of modulo 5

t=1 (mod 5)

t =1+5 u : u= any integer.

X becomes 1+ 5 (1+5u )=6+25 u

6+25u =3 (mod 5)

25 u= -3 (mod 5)=2 (mod 5)

25 is Modular Inverse of Modulo 5

u=2 (mod 5)

u =2+5 v : v= any integer.

X becomes 6 +25 (2+5 v)=56+125 v .

56 +125 v=4 (mod 5)

125 v=-52 (mod 5)=3 (mod 5)

125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

w=200

X=1003 : Lowest 4 digit number.

Take w=201

X=208 : Next number.

For 4 digit largest number, take

w=1995

X= 9978 : Largest number.

No. of Numbers =(1995 - 200 )+1=1800 □Ans.

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3 years ago

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Insect Weights Consider a dataset giving the adult weight of species of insects. Most species of insects weigh less than 5 grams

Ann [662]

Answer:

Step-by-step explanation:

71 grams would definitely be an outlier on the high side, whereas "most" species would weigh much less. Thus, the graph of this distribution of weights would be skewed towards the lower side, that is, to the left.

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3 years ago

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prohojiy [21]

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2 years ago