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slega [8]
3 years ago
13

A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground. If the rover continues at the same ra

te, how many centimeters will it travel in 15 1/2 seconds?
Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

The correct answer would be 75.95 centimeters

Shalnov [3]3 years ago
5 0

Do do this, you use the distance formula: time * speed = distance

So you do, 4.9 * 15.5 = 75.95

So, the rover will travel <u>75.95 centimeters</u> in 15.5 seconds at a speed of 4.9 cm./s

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At a family reunion, Lauren met up with 2 of her cousins; Kali and Allison. She realized that there were 3 generations of cousin
Andrew [12]

Answer:

The age of three girls as

The age of Allison's is 8 years

The age of Kali is 48 years

The age of Lauren's is 24 years  

Step-by-step explanation:

Let The age of Allison's = A  years

The age of Lauren's = L  years

The age of Kali's = K years

Now, According to question

The sum of total ages of the three girl's = 80 years

I.e A + L + K = 80 years

And  ,

The age of Allison's = \frac{1}{3} of  The age of Lauren's

I.e A = \frac{1}{3} × L

And ,

The age of Kali's = 2 times The age of Lauren's

I.e K = 2 × L

∴ \frac{1}{3} × L + L + 2 × L = 80

Or,  \frac{1}{3}  L + 3 L = 80

Or, \frac{10}{3}  L = 80

So, 10 L = 3 × 80

∴   L = \frac{240}{10}

I.e L = 24  

The age of Lauren's = 24 years

Again ,

K = 2 × L

Or, k = 2 × 24

∴   k = 48

The age of Kali = 48 years

Similarly

A = \frac{1}{3} × L

Or, A =  \frac{1}{3} × 24

∴   A = 8 years

The age of Allison's = 8 years

Hence The age of three girls as

The age of Allison's is 8 years

The age of Kali is 48 years

The age of Lauren's is 24 years     Answer

6 0
4 years ago
I need help on this.
Vadim26 [7]

Answer:

its PQ for a fact

Step-by-step explanation:

trust i nme

6 0
3 years ago
Read 2 more answers
A bowl contains 25 balls numbered 1 to 25 a ball is drawn in its number is noted without replacing the first bought another posi
alina1380 [7]

Answer:

the answer is d happy birthday

6 0
3 years ago
An individual has $40,000 to invest: $28,000 will be put into a low-risk mutual fund averaging 6.9% interest compounded monthly,
Troyanec [42]

Answer:

a) F(x) = 28,000( 1.00575 )^12x  + 12,000e^0.098x

b)  F'(x ) = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 1176 e^0.098x  dollar per year

c) 3228.94 dollar/year,   3428.73 dollar/year

Step-by-step explanation:

Capital = $40,000

$28,000 = low-risk mutual fund

6.9% monthly compounded interest for the low risk mutual fund

$12,000  = high-risk yield bound fund

9.8% continuously compounded interest

<u>A) Equation for total amount in two investments </u>

F(x) = F1(x) + F2(x) ----- ( 1 )

where :

F1(x) ( future value for monthly compounded interest)

=  28,000( 1 + 0.069/12 )^12x = 28,000 ( 1.00575 )^12x

F2(x) ( future value for continuously compounded interest )

= ( 40,000 - 28,000 )e^0.098x = 12,000 e^0.098x

back to equation 1

F(x) = 28,000( 1.00575 )^12x  + 12,000e^0.098x

<u>B Rate of change equation </u>

f'(x) = d/dx (28,000( 1.00575 )^12x) + d/dx ( 12,000e^0.098x )

∴ f'(x) = 28,000 d/dx (1.00575^12)^x + 12,000 d/dx(b^x)

         = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 12,000 ( In b ) ( b^x )

  f'(x ) = 28,000 ( In 1.071224 ) ( 1.071224 )^x + 1176 e^0.098x  dollar per year

<u>C) Determine how rapidly the combined amount will grow after 6 months and after 15 months </u>

i.e. x = 0.5 , x = 1.25 years

after 6 months

28,000 ( In 1.071224 ) ( 1.071224 )^(0.5) + 1176*e^((0.098(0.50))

=  1993.88  + 1235.06 = 3228.94 dollar/year

after 15 months

28,000 ( In 1.071224 ) ( 1.071224 )^(1.25) + 1176*e^((0.098(1.25 ))

=   2099.47  +  1329.26 = 3428.73 dollar/year

6 0
3 years ago
A person must score in the upper 2% of the population on an iq test to qualify for membership in mensa, the international high-i
Agata [3.3K]
<span>135 Using a standard normal table, you can look up the number of standard deviations for the 98% value which will be 2.054. Then multiply this number by the standard deviations and add that to the mean to get the desired value. So 2.054 * 15 + 100 = 130.81 Rounding to the nearest whole number gives you 131.</span>
4 0
3 years ago
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