1) In Mr. Gragert's rock collection, 70% of the rocks are
metamorphic. If the entire collection contains 300 rocks,
calculate how many of the rocks are metamorphic.
Mavel

The product of the reaction is two moles of iron (III) oxide (FeO₃). Iron (III) oxide is an odorless, gray-black powder that is insoluble in water.

A chemical reaction is a process in which one or more substances (reactants) are converted into one or more different substances (products).

The chemical reaction 2Fe + 3O₂ → 2FeO₃ is a combination reaction, which is a type of reaction that involves two or more reactants combining to form a single product.

In this reaction, two moles of iron (Fe) reacts with three moles of oxygen (O2) to form two moles of iron (III) oxide (FeO3).

The balanced equation for the reaction is:

2Fe + 3O₂ → 2FeO₃

The product is used in the manufacture of steel, glass and ceramics, as a pigment in paints and inks, and as a catalyst in the synthesis of organic compounds.

The reaction occurs when iron and oxygen are heated to high temperatures, producing a reaction that releases energy in the form of heat and light.

The reaction is exothermic, meaning it releases energy.

This energy is used to break the bonds between the reactants, forming new bonds in the product.

For more questions related to moles

https://brainly.com/question/31067797

#SPJ1

Answer:

18 minutes

Step-by-step explanation:

1. 45 minutes is the TOTAL amount she reads so it can be expressed as x/45

*x=a part

2. set up a proportion

x/45 = 2/5

3. now solve by either cross multiplication or finding a scale factor. I am finding a scale factor because that is easiest.

45/5=9

so 5 * 9 = 45

so 2 * 9 = 18

the asnwer is 18. I hope this helps

The z-score for a raw score of 6 is 0.5.A z-score indicates how many standard deviations a raw score is away from the mean.

To calculate the z-score for a raw score of 6 given a mean of 4 and a standard deviation of 4, we can use the formula:

z = (raw score - mean) / standard deviation

Substituting the values into the formula, we get:

z = (6 - 4) / 4

z = 0.5

Therefore, the z-score for a raw score of 6 is 0.5.

In this case, a z-score of 0.5 indicates that the raw score of 6 is half a standard deviation above the mean of 4.

Z-scores are useful because they allow us to compare scores from different distributions. For example, if we have two sets of data with different means and standard deviations, we can convert them into z-scores to compare them directly. A positive z-score means that the raw score is above the mean, while a negative z-score means that the raw score is below the mean. The magnitude of the z-score indicates how far the raw score is from the mean in terms of standard deviations.

To know more about z-score click here

brainly.com/question/30557336

#SPJ11

The number of tiles of area 1 in² needed to completely cover the tabletop, is 576.

Area is the region bounded by a plane shape.

To calculate the number of tiles needed to completely cover the tabletop, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the number of tiles is 576.

Learn more about area here: https://brainly.com/question/25292087

#SPJ1

Answer:

6.5m/sec

Step-by-step explanation:

speed = distance

time

= 1500 1 min = 60 seconds

230 3 min = 180 seconds

180 + 50

= 6.5217391304 = 230

Round off to 1 decimal place = 6.5

The cost of the car for the year is $3800 for Nerida Kyle and it will cost less than lyft.

The cost of the car for the year will be calculated based on the amount she will spend in total on the car. The formula to be used is -

Total cost = Cost price of the car - Selling price

Cost price of car will be sum of all the expenses, calculated as follows -

Cost price of the car = 15000 + 1200 + 800 + 300

Performing addition on Right and Side of the equation

Cost price of the car = $17,300

Total cost for the year = 17,300 - 13,500

Performing subtraction on Right and Side of the equation

Total cost for the year = $3,800

Hence, Nerida Kyle will spend $3,800 on car which is better than lift.

Learn more about addition -

https://brainly.com/question/24536701

#SPJ4

Answer:

1920 toys

Step-by-step explanation:

Area of new toy chest :

Area = Length * width

Area = 3 feets * 2 feets

Area of new toy chest = 6 ft²

If ;

1 square foot requires 320 toys

6 ft² = (320 * 6) = 1920 toys

After 45 blue counters are removed, the remaining number of blue counters is 63 more than yellow counters. Setting up an equation, we find that there were 162 blue counters to start with.

Let's start by assigning variables to the unknowns:

Let x be the number of yellow counters.

Then, the number of blue counters is 3x.

After 45 blue counters are removed, the number of blue counters is 3x - 45.

Finally, there are 63 more blue counters than yellow, so we can set up the equation:

3x - 45 = x + 63

Solving for x, we get:

2x = 108

x = 54

Therefore, there were 3x = 3(54) = 162 blue counters to start with.

Learn more about algebra here: brainly.com/question/24875240

#SPJ4

To find the curve of intersection of two surfaces, we need to set the equations of the two surfaces equal to each other and solve for the variables that describe the curve of intersection.

In this case, we will consider the intersection of two elliptic paraboloids. An elliptic paraboloid can be represented by the equation z = x^2/a^2 + y^2/b^2, where a and b are positive constants that determine the shape of the paraboloid.

To find the curve of intersection of two elliptic paraboloids, we set their equations equal to each other:

x^2/a^2 + y^2/b^2 = z = c^2/d^2 + w^2/e^2

where c, d, w, and e are also positive constants.

We can rearrange this equation to solve for one of the variables, say z:

z = x^2/a^2 + y^2/b^2 = c^2/d^2 + w^2/e^2

Now we can set z equal to a constant, say k:

k = x^2/a^2 + y^2/b^2

This equation represents the curve of intersection of the two elliptic paraboloids. To plot this curve, we can choose a range of values for x and y, and solve for the corresponding values of z. We can then plot these points in three-dimensional space to obtain the curve of intersection.

To learn more about curve of intersection click on,

https://brainly.com/question/4452427

#SPJ4

Answer:

13 3/10

Step-by-step explanation:

first you add the whole numbers, that equals 13

now make the denominators the same by multiplying or dividing the numerator and denominator to an equivalent fraction, I divided 2/5 to 4/10

now you add the numerators and you have 13 13/10

make that a proper fraction and you have 14 3/10

Answer:

14.3

Step-by-step explanation:

(6 2/5) + (7 9/10)= 14.3

The period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

A periodic function goes through 5 complete cycles in 4 min

From the question:

f = 5/4 cycles per minutes

f = 5/240 cycles per seconds  [1 minutes = 60 seconds]

f = 1/48

Period = 1/f

Period = 48 minutes

Thus, the period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

The period of the given periodic function is 48 sec.

A periodic function is a function which returns same values at regular intervals. Let f be a periodic function then  

f( x +P ) = f(x) , for every x in the domain of f and P is some non zero constant

P is the regular interval or period after which a periodic function returns same values.

P=\(\frac{1}{f}\)

where \(f\) is the frequency of the periodic function

or \(f\) = no of cycles per unit time

Given that a periodic function goes through 5 cycles in 4 min

therefore frequency for this periodic function , f  is given by

\(f=\frac{5}{4}\) cycles per min

or

\(f=\frac{5}{4*60} \\f=\frac{5}{240} \\\)

\(f=\frac{1}{48}\)   cycles per sec

Thus,

Period of the given periodic function , P =\(\frac{1}{f}=1/\frac{1}{48}=48\) sec

Learn more about periodic functions at https://brainly.com/question/9060937

#SPJ1

Infinite solutions

Hi there !

- 8x  - 3x = - 11x

- 11x = - 11x

Infinite solutions

Good luck !

In a two-way factorial design analysis, there are two main effects tested.

A two-way factorial design involves the simultaneous manipulation of two independent variables, each with multiple levels, to study their individual and combined effects on a dependent variable. The main effects in such a design represent the effects of each independent variable independently, ignoring the influence of the other variable.

When conducting a two-way factorial design analysis, there are two main effects tested, corresponding to each independent variable. The main effect of one variable is the difference in the means across its levels, averaged over all levels of the other variable. Similarly, the main effect of the other variable is the difference in the means across its levels, averaged over all levels of the first variable.

Testing the main effects allows researchers to determine the individual impact of each independent variable on the dependent variable, providing insights into their overall influence. By analyzing the main effects, researchers can assess the significance and directionality of the effects, aiding in the interpretation of the experimental results and understanding the relationship between the independent and dependent variables in the factorial design.

Learn more about independent variable here:

https://brainly.com/question/1479694

#SPJ11

Answer:

7.10a.m.

Step-by-step explanation:

Thats it , byeee

Answer:

7.10am

Step-by-step explanation:

....................

Answer:

51.78 ft^2

Step-by-step explanation:

h = 4

a = 4

Area:((a^2)+2a)*(sqrt((a^2)/4)+h^2)

it's complicated I know.

Substitute everything in and you get 51.78 ft^2.

Answer:

All real numbers are possible solutions.

Step-by-step explanation:

4x + 6 = 4x + 6

~Subtract 6 to both sides

4x = 4x

~Subtract 4x to both sides

0 = 0

Best of Luck!

The country's unemployment rate is 10 percent. Therefore, option C is the correct answer.

Given that, a country's population is 20 million and it has a labor force of 10 million people.

8 million people are employed

So, the number unemployed people = 10 million - 8 million

= 2 million

So, the country's unemployment rate = 2/20 ×100

= 10 %

Therefore, option C is the correct answer.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

Answer:

A

Step-by-step explanation:

The formula for this type of interest is \(A=P(1+\frac{r}{n})^{nt}\), where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

\(A=1800(1+\frac{0.025}{2})^{2\cdot 12}=\)

\(1800(1.0125)^{24}\approx 2425.23\)

Now, she invests this into a new account, and you can set up the following equation:

\(A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=\)

\(2425.23(1.0033333)^{84}\approx 3207.40\), or option A.

Hope this helps!

There are two integer coordinates on the line segment AB: (81, 36) and (349, 230).

We can use the two-point form of the equation of a line to find the equation of the line passing through points A and B:

(y - 35)/(x - 73) = (230 - 35)/(178 - 73)

y - 35 = (195/105)(x - 73)

y - 35 = (39/21)(x - 73)

y = (39/21)x - (39/21)(73) + 35

y = (39/21)x - 2/3

To find the integer coordinates on the line segment AB, we need to determine the x-values that correspond to integer y-values between 35 and 230 (inclusive), and then check if the resulting points lie on the line segment AB.

First, we can find the x-values that correspond to the endpoints of the line segment AB:

x_a = 73

x_b = 178

Next, we can find the x-values that correspond to integer y-values between 35 and 230 (inclusive):

y = 36 -> x = 81

y = 37 -> x = 84

y = 38 -> x = 86

...

y = 228 -> x = 343

y = 229 -> x = 346

y = 230 -> x = 349

Finally, we can check which of these points lie on the line segment AB:

Point (81, 36) lies on the line segment AB.

Point (84, 37) does not lie on the line segment AB.

Point (86, 38) does not lie on the line segment AB....

Point (346, 229) does not lie on the line segment AB.

Point (349, 230) lies on the line segment AB.

Therefore, there are two integer coordinates on the line segment AB: (81, 36) and (349, 230).

Learn more about integer here

https://brainly.com/question/28148275

#SPJ11

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

The number of wins is 68 ad losses is 26.

Let the number of losses = l

Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16

Total games = 94

Therefore we will add the equation

l + 16 + 2l = 94

3l + 16 = 94

3l = 94 - 16

3l = 78

Divide

l = 78/3

l = 26

Losses = 26

Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

X = 19

2 * 19 = 38 degrees

3 * 19 - 5 = 52 degrees

Step-by-step explanation:

3x-5+2x = 90

5x = 90+5

X = 95/5

X = 19

Answer:

Step-by-step explanation:

    - 50 + (5 / 13)p         this says negative 50 plus 5/13 times p

if p = -26                      what does this epression evaluate to?

- 50 + (5 / 13) × p      p = -26      substitute the value of p into the expression

- 50 + (5 / 13) × (-26)      

- 50 + (5 (-26) / 13)                 I just rewrote the expression to make it clearer

                                               that the -26 in -26/1 and the  5 in 5 / 13    are

                                              both in the numerator over denominator 13

 - 50 + (5 (-26) / 13)              -26 / 13  evaluates to -2

 -50  + (5)(-2)    

 -50  + (-10)

 -50 - 10

 -60                

Answer: no solution

Answer:

20 cm

Step-by-step explanation:

When you add the lengths of any two sides in a triangle, it has to be greater than the length of the third side.

So...

14 + 7 > side 3

14 + 7 > 22 is false

14 + 7 > 20 is true

Answer:

Step-by-step explanation:

You need to give all the fractions a common denominator so you can compare the numerators.

The least common multiple of 5, 8, 16, 4, 3 is 240.

⅖ = 96/240

⅞ = 210/240

15/16 = 225/240

¾ = 180/240

⅜ = 90/240

⅓ = 80/240

The only numerator between 96 and 210 is 180.

180/240 = ¾

⅖ < ¾ < ⅞

Answer:

B, A

Step-by-step explanation:

In the first equation, if an unknown number plus 17 equals 66, then what step would you take?

For example, if an unknown number plus 2 equaled 3, then you would know that number is 1, right? What steps did you take to get that? You subtracted 2 from both sides.

In this example, if x + 17 = 66, then subtracting 17 from both sides gets us x = 49.

The same applies for the second example. If x minus 54 equals 125, then you would add 54 to get x = 179.

The statement that is true include the following: C. line g and line h are parallel.

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics and Geometry, the alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles;

58° ≅ 58° (lines g and h are parallel lines).

Read more on alternate exterior angle here: brainly.com/question/26111088

#SPJ1