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3 years ago

5

Please help, Thankyou

1 answer:

slega [8]3 years ago

4 0

$\text {Mass of earth =} 5.97 \times 10^{24} \text { kg}$

$\text {Mass of Venus =} 4.87 \times 10^{24} \text { kg}$

$\text {Difference = }5.97 \times 10^{24} - 4.87 \times 10^{24}$

$\text {Difference = }(5.97 - 4.87) \times 10^{24}$

$\text {Difference = }1.1 \times 10^{24} \text { kg}$

--------------- In Pure Text Format --------------
Mass of the earth = 5.97 x 10^{24}
Mass of Venus = 4.87 x 10^{24}
Difference = (5.97 - 4.87) x 10^{24} = 1.1 x 10^{24} kg

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When you give $4 for a bet in a casino game, there is a 258/495 probability that you will lose $4 and there is a 237/495 probab

Klio2033 [76]

Answer:

a) - $0.169

b) - $0.04242

Step-by-step explanation:

Data provided in the question:

Bet amount = $4

Probability of losing $4 = $\frac{258}{495}$

Probability of gaining $4 = $\frac{237}{495}$

a) The expected value

= Winning amount × winning probability - Losing amount × Losing probability

= $4 × $\frac{237}{495}$ - $4 × $\frac{258}{495}$

= $4 × $\frac{237-258}{495}$

= - $0.169 (Negative sign means loss)

b) The amount lost for each dollar = $\frac{\textup{Expected Value}}{\textup{Bet amount}}$

= $\frac{\textup{-0.169}}{\$\textup{4}}$

= - $0.04242

5 0

3 years ago

Write a recrusive rule for the exponential function<br>f(x)=0.25(2/3)^x

krok68 [10]

Answer:

f(0) = 0.25 = 1/4

f(x) = f(x-1) × 2/3

Step-by-step explanation:

a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4

a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =

= a0 × 2/3

a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =

= a1 × 2/3

=>

an = an-1 × 2/3, n >= 1

but what about negative x ?

is a0 = a-1 × 2/3 ?

$a - 1 = 0.25 \times {(2 \div 3)}^{ - 1}$

so, yes, a0 = a-1 × (2/3)

and a-1 = a-2 × (2/3)

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4 0

2 years ago

Pls help me i need it

Delvig [45]

Answer:

13=x

Step-by-step explanation:

Side-spliting theorem

21/(x-4)=14/6

cross multiply

21*6=14*(x-4)

distribute 14

126=14x-56

add 56 to both sides

126+56=14x-56+56

leaving you with

182=14x

Divide both sides by 14 to get x by itself

182/14=14x/14

13=x

4 0

2 years ago

WHICH OF THE FOLLOWING COMPARISONS IS FALSE A. 4 LITERS < 1 GALLON B. 1 FOOT < 1 METER C. 25 GRAMS < 1 OUNCE D. 10 KILO

Kisachek [45]

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2 years ago

Determine the kinetic energy of 8000 Newton’s roller coaster car that is moving with a speed of 20.0 meters/seconds

ohaa [14]

Answer:

The kinetic energy of the roller coaster is 1600000 J.

Step-by-step explanation:

Given:

Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.

Now, we need to find the kinetic energy $E_{k}$ of the roller coaster.

So, Mass of roller coaster (m) = 8000 N.

Velocity of roller coaster (v) = 20.0 m/s.

Now, putting the formula of kinetic energy:

$E_{k} = \frac{1}{2}\times m\times v^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 20^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 400$

$E_{k}=\frac{1}{2} \times 3200000$

$E_{k}=1600000$

Therefore, the kinetic energy of the roller coaster is 1600000 J.

3 0

3 years ago