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WITCHER [35]
2 years ago
12

2. A serving of fish contains 50.0 g protein and 4.0 g fat. If protein has a caloric

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

9514 1404 393

Answer:

  236 kcal

Step-by-step explanation:

  (50 g protein)(4 kcal/(g protein)) +(4 g fat)(9 kcal/(g fat)) = (200 +36) kcal

  = 236 kcal

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In a game a die numbered 9 through 14 is rolled. What is the probability that the value of a roll will be a multiple of two or t
Marysya12 [62]

Answer:

Step-by-step explanation:

This is a special die.  Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.

There are three possibilities for getting a multiple of two:  {10, 12, 14}, and

there is only one possibilities for getting a multiple of ten:  {10, 12, 14}

The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6.  But one of the outcomes is found in both result sets:  10.  Getting a multiple of 10 is already included in the event that the outcome is a multiple of two.  My answer here would be 3/6, or 1/2.

6 0
3 years ago
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
Mazyrski [523]

We can use the fact that, for |x|,

\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n

Notice that

\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}

so that

f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]

f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}

f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}

f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n

By the ratio test, this series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|

so the series has radius of convergence R=1.

5 0
2 years ago
Pencils cost 25p each<br>Mr Smith spends £15 on pencils <br>Work out the number of pencils he gets ​
krek1111 [17]

Answer:

Convert £15 to pence

Hence £15.00p = 1500p

Divide 1500p by 25p

Hence

25)

1500( = 60

150

_____

= 0 + 0

Anothrt way

1500/25

Cancel down by '5'

300 / 5

Cancel down by '5' again

60/1 = 60

Hence 60 pencils were purchased.

PLZ I HOPE THIS HELPS YOU, PLZ MARK BRAINLYIEST

5 0
3 years ago
During one month, a rental car agency rented a total of 155 vehicles. Nine times as many cars were rented as vans, and three tim
MAXImum [283]

The number of cars, vans and trucks rented are;

Number of Cars = 4 cars

Number of vans = 36 vans

Number of trucks =  108 trucks

<h3>How to solve Algebra Word Problems?</h3>

We are given;

Total number of vehicles = 155 vehicles

Let number of cars be x.

Thus, since Nine times as many cars were rented as vans, we have;

Number of vans rented = 9x

Now, three times as many vans were rented as trucks. Thus;

The number of trucks rented during one month = 3(9x)

Thus;

x + 9x + 27x = 155

37x = 155

x ≈ 4 cars

Number of vans = 9 * 4 = 36 vans

Number of trucks = 3 * 36 = 108 trucks

Read more about Algebra Word Problems at; brainly.com/question/13818690

#SPJ1

3 0
1 year ago
Cheryl falkowski has a collection of silver spoons from all over the world. she finds that she can arrange her spoons in sets of
Afina-wow [57]
There are a number of ways to approach this problem, including writing all the numbers that match one of the arrangements, such as for sets of 15:
.. 14, 29, 44, 59, 74, 89, 104, 119, 134, 149, 164, 179, 194 (separated by 15)
Modulo 8, these numbers are
.. 6, 5, 4, 3, 2, 1, 0, 7, 6, 5, 4, 3, 2
This reduces the numbers of interest to those that are 3 modulo 8:
.. 59, 179 (separated by 8*15 = 120)
Looking at these modulo 7, we have
.. 3, 4
pinpointing 179 as the number of spoons in Cheryl's collection.

_____
The attachment shows a solution via graphing calculator. We simply added the absolute values of the differences of the remainders from the desired values and looked for where that sum was zero. This method, too, pointed to 179 as the solution to the problem.

7 0
3 years ago
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