The fluoride minimum is 3 and maximum is 10

Which of the above charts does NOT accurately reflect public goods and services?

Olin [163]

I wanna say its b)1 but im not 100% sure. if its wrong im sorry

6 0

3 years ago

Read 2 more answers

There are 9.88 grams of sugar in 4 servings of grapes. How many grams of sugar are in a single serving of grapes?

Korolek [52]

Ok so grapes,

We have 4 servings and 9.88 grams total, so to find one serving we just need to divide by 4.

9.88/4 = 2.47 per serving

8 0

3 years ago

Now it is time to create your own graph. Listed below are the weights of 10 of your classmates. Remember, this is science so we

kakasveta [241]

No one answered my question how should I do

3 0

3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

Marco earns $36.50 per hour show that the relationship between the amount he earns and the number of hours he works is proportio

Korolek [52]

To establish this equation we first need to assign some variables.

Let us assign x as the number of hours he has worked

and assign y as the total amount of money that he has earned

Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works. Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours. This is also proportional because for every hour that he works he gets the same salary of 36.50. It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works. The proportion is 36.50 dollars per hour worked.

3 0

3 years ago