Is hand lotion homogeneous or heterogeneous

Answers

Answer 1

Answer: Homogeneous; its all the same mixture
Remember: homo- meaning same
hetero- meaning different

Answer 2

Answer: heterogeneous!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Variable g is 8 more than variable w. Variable g is also 2 less than w. Which of the following pairs of equations best models the relationship between g and w?g = 8w
g = w + 2

w = g + 8
w = g − 2

w = 8g
w = g + 2

g = w + 8
g = w − 2

Answers

If you would like to find a pair of equations that best models the relationship between g and w, you can do this using the following steps:

g is 8 more than w ... g = w + 8
g is 2 less than w ... g = w - 2

The correct result would be g = w + 8 and g = w - 2.

Which of the following functions has the largest value when x = 4?e(x) = x2 + 6x + 21
m(x) = 8x
v(x) = 31x

Answers

Answer: $v(x)=31x$

Step-by-step explanation:

Given Functions: $e(x)=x^2+6x+21$

$m(x)=8x\n\nv(x)=31x$

At x=4

$e(4)=(4)^2+6(4)+21\n=16+24+21=61\n\nm(4)=8(4)=32\n\nv(4)=31(4)=124$

here we can see v(4) has the largest value of 124 at x=4 .

Therefore, $v(x)=31x$ is the function which has the largest value at x=4.

$e(4)=4^2+6 * 4+21=16+24+21=61 \n \nm(4)=8 * 4=32 \n \nv(4)=31 * 4=124$

v(x) has the largest value when x=4.

Sam Seller offers credit at 19% interest per year. To the nearest tenth, APR =

Answers

Answer:

20.7%.

Step-by-step explanation:

We have been given that Sam Seller offers credit at 19% interest per year.

We will annual percent yield formula to solve our given problem.

$APY=(1+(r)/(n))^n-1$ , where,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year.

Let us convert our given interest rate in decimal form.

$19\%=(19)/(100)=0.19$

Upon substituting our given values in above formula we will get,

$APY=(1+(0.19)/(12))^(12)-1$

$APY=(1+0.015833)^(12)-1$

$APY=(1.015833)^(12)-1$

$APY=1.207450998-1$

$APY=0.207450998$

Let us convert APY in percentage by multiplying our answer by 100.

$APY=0.207450998* 100$

$APY=20.7450998\%\approx 20.7\%$

Therefore, the APY is 20.7%.

Answer:

$\text{APR}=20.7\%$

Step-by-step explanation:

Given : Sam Seller offers credit at 19% interest per year.

To find : To the nearest tenth, APR ?

Solution :

The formula to calculate the annual percentage rate is given by

$\text{APR}=(1+(r)/(n))^n-1$

where, r is the interest rate i.e. r=19%=0.19

n is the number of time period for which interest is compounded per month i.e. n=12.

Substitute in the formula,

$\text{APR}=(1+(0.19)/(12))^(12)-1$

$\text{APR}=(1+0.01583)^(12)-1$

$\text{APR}=(1.01583)^(12)-1$

$\text{APR}=1.2074-1$

$\text{APR}=0.2074$

Into percentage,

$\text{APR}=0.2074* 100$

$\text{APR}=20.74\%$

To the nearest tenth,

$\text{APR}=20.7\%$

Suppose you want to make a certain kind of tropical punch using bananas,oranges, and papayas. This is what you know.
You know the recipe takes seven pieces of fruit.
You don't know how many of each to put in the punch, but you know that
there are twice as many oranges as bananas.
You know that the seven pieces of fruit cost $5.25, where bananas cost $.50
each, oranges cost $.75 each, and papayas cost $1.25 each.
How many pieces of each type of fruit do you need to make the tropical punch?

Answers

Answer: 4 oranges, 2 bananas, and 1 papaya

Step-by-step explanation:

because there are twice as many oranges as bananas and 7 total fruit so 4 is the max amount of oranges you can have which leaves 2 bananas and 1 left over which is the papaya. Then to check work plug in the amount of fruit times their price which totals $5.25.

Final answer:

To make the tropical punch with a total of $5.25, you will need 1 banana, 2 oranges and 4 papayas based on their individual costs and the given relationship between bananas and oranges.

Explanation:

This is a linear algebra problem where we need to solve a system of linear equations. Let's denote the number of bananas as 'b', oranges as 'o', and papayas as 'p'. We have several pieces of information to form our equations:

1. The total pieces of fruit we have is 7. So, b + o + p = 7.

2. Oranges are twice as numerous as bananas, so o = 2b.

3. The total cost of the fruits is $5.25. So, 0.5b + 0.75o + 1.25p = 5.25.

By substituting o = 2b and re-arranging the equations, we obtain that b=1, o=2, and p=4. Hence, to make the tropical punch, we need 1 banana, 2 oranges, and 4 papayas.