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3 years ago

7

Part of a train time table is shown, the bob catches the 12:30 train from Aberystwyth. The first he arrives in Shrewsbury 8 minu

tes late. What time does he arrive in Shrewsbury

2 answers:

kifflom [539]3 years ago

4 0

Answer:

12:22

Step-by-step explanation:

olga2289 [7]3 years ago

4 0

Answer:

12:22

Step-by-step explanation:

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Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 1

GenaCL600 [577]

C is Celia's calorie count and R is Ryan's. d = days
C = 1200 + 100d
R = 3230 - 190d
Since you want to find when they will consume the <em>same</em> amount of calories, you set the two equations equal to each other: 1200 + 100d = 3230 - 190d.
Then, subtract 1200 from both sides: 100d = 2030 - 190d. Next, add 190d to both sides: 290d = 2030. Therefore, the number of days is eqal to 2030/290, which is 7.

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4 years ago

Find the inverse of the matrix <img src="https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26-2%5C%5C-10%269%5C%5C

valentinak56 [21]

Answer:

The answer is (b)

Step-by-step explanation:

* Lets check how to find the inverse of the matrix,

its dimensions is 2 × 2

* To know if the inverse of the matrix exist find the determinant

- If its not equal 0, then it exist

* How to find the determinant

- It is the difference between the multiplication of

the diagonals of the matrix

Ex: If the matrix is $\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]$

its determinant = ad - bc

- After that lets swap the positions of a and d, put negatives

in front of b and c, and divide everything by the determinant

- The inverse will be $\left[\begin{array}{ccc}\frac{d}{ad-bc} &\frac{-b}{ad-bc}\\\frac{-c}{ad-bc} &\frac{a}{ad-bc}\end{array}\right]$

* Lets do that with our problem

∵ The determinant = (9 × 9) - (-2 × -10) = 81 - 20 = 61

- The determinant ≠ 0, then the inverse is exist

∴ The inverse is $\frac{1}{61}\left[\begin{array}{ccc}9&2\\10&9\end{array}\right]$ =

$\left[\begin{array}{ccc}\frac{9}{61}&\frac{2}{61}\\\frac{10}{61} &\frac{9}{61}\end{array}\right]$

* The answer is (b)

7 0

3 years ago

Please only say something if you really know it

ale4655 [162]

Answer:

y = 100 2^h

Step-by-step explanation:

The formula for growth is given by

y = ab^x

where a is the initial value and b is the growth rate

a = 100

b = 2 since we are doubling

x is the amount of time = h

y = 100 2^h

5 0

3 years ago

Evaluate the algebraic expression 18 + (- 31) =

frosja888 [35]

Answer:

-13

Step-by-step explanation:

8 0

3 years ago

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

kondor19780726 [428]

<h3>SOLUTION : </h3>

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is $2\pi r$ . Similarly when angle is theta ,

$\implies Arc = radius \times \theta$

Now substitute respective values , from the given data ,

$\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}$

This is our required answer!

4 0

3 years ago