In a solution,the ratio of salt water by volume is 1:4 .What is the percent of salt in the total solution?

El acero de alta resistencia es el principal material de los submarinos actuales, con un límite de profundidad de 250 a 400 m pa

zvonat [6]

4j9gndbz4nhhmf76 love this life

3 0

2 years ago

Samantha works at a bakery. The function f(x) = 3x2 − 5 represents the amount of money Samantha earns per cookie, where x is the

vfiekz [6]

Answer:

f(g(x)) = 15x³ - 5

Step-by-step explanation:

how confusingly described.

let me try and summarize what I understood :

f(x) = 3x² - 5

money earned when baking x cookies.

g(x) = sqrt(5x³)

the amount of cookies baked in x hours.

f(g(x)) now calculates how much money she earns when baking for x hours.

it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.

therefore,

f(g(x)) = 3×(sqrt(5x³))² - 5

with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.

let's simplify this a little bit more.

f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5

3 0

2 years ago

James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially ha

lesantik [10]

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

3 0

3 years ago

Show that if S1 and S2 are subsets of a vector space V such that S1 c S2 then span(S1) c span(S2). In particular, if S1 c S2 the

klemol [59]

Answer:

See proof below

Step-by-step explanation:

Assume that V is a vector space over the field F (take F=R,C if you prefer).

Let $x\in span(S_1)$ . Then, we can write x as a linear combination of elements of s1, that is, there exist $v_1,v_2,\cdots,v_k \in S_1$ and $a_1,a_2,\cdots,a_k\in F$ such that $x=a_1v_1+a_2v_2+\cdots+a_kv_k$ . Now, $S_1\subseteq S_2$ then for all $y\in S_1$ we have that $y\in S_2$ . In particular, taking $y=v_j$ with $j=1,2,\cdots,k$ we have that $v_j\in S_2$ . Then, x is a linear combination of vectors in S2, therefore $x\in span(S_2)$ . We conclude that $span(S_1)\subseteq span(S_2)$ .

If, additionally $S_2\subseteq S_1$ then reversing the roles of S1 and S2 in the previous proof, $span(S_2)\subseteq span(S_1)$ . Then $span(S_1)\subseteq span(S_2)\subseteq span(S_1)$ , therefore $span(S_1)=span(S_2)$ .

5 0

2 years ago

Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for

Elina [12.6K]

Answer:

10

Step-by-step explanation:

4 0

2 years ago

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