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3 years ago

A car travels at an average speed of 24km/h.Findin meters the distance travelled by the car in 12 seconds

Mathematics

1 answer:

inn [45]3 years ago

8 0

Answer:

80 m

Step-by-step explanation:

First convert km/h to m/s.

24 km/h × (1000 m / km) × (1 h / 3600 s) = 6.67 m/s

Distance = rate × time

d = 6.67 m/s × 12 s

d = 80 m

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Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

4 0

3 years ago

Dados los intervalos A=]-2;2[ ,B=[0;5[ y C=]-∞;1], determine el intervalo que resulta de operar: (A∩B)-C

d1i1m1o1n [39]

Answer: ]1, 2[

Step-by-step explanation:

$A \cap B=[0; 2[\\\\(A \cap B)-C=]1, 2[$

8 0

2 years ago

you plan to go snowboarding this weekend in Pennsylvania. the resort charges $15.75 per hour in addition to a $25 deposit to ren

Ulleksa [173]

Answer:

A. Equation is $c=25+15.75x$

B. Cost is $88

Step-by-step explanation:

Suppose you rent for x hours and each hour costs $15.75

How much would you need to pay?

$15.75x$

Moreover, there is a $25 dollar (fixed) deposit for renting, so that gets added to your payment. All in all, you have to pay $25+15.75x$

This is the equation of renting a snowboard for x hours.

Equation is $c=25+15.75x$

Where x is the number of hours you rent the snowboard, and
c is the total cost

If you are renting from 8.30 to 12.30, you are basically renting for 4 hours.

To know how much it will cost, you simply plug in 4 into x (in the equation):

$c=25+15.75x\\c=25+15.75(4)\\c=88$

Cost is $88

6 0

3 years ago

It takes Ivanna 3 minutes to complete 2 problems on her math homework . How long will it take Ivanna to complete 12 problems?

IRINA_888 [86]

18 minutes because 6*2 is 12 and 3*6 is 18. it will take 6 minutes to do 4 problems, 9 minutes to do 6 problems , 12 minutes to do 8 problems, 15 minutes to do 10 problems, and 18 minutes to do 12 problems

7 0

3 years ago

Read 2 more answers

Hi please help , With solution if it's ok

Snowcat [4.5K]

Answers with Method:-

1) Multiply the length value by 100,000.

$2.5 \: hm = 2.5 \times 100000$