what elements is in Fe2(CO3)3 and how many atoms does each have

Answer:

The number of touch downs = 11

The number of extra points = 4

Step-by-step explanation:

The number of times UT Longhorns scored = 15 times

The composition of the scores = Touch down and point kicks

The points with which UT Longhorns won the game = 70-3

The points that came from each touch down = 6 points

The points that came from each point kick = 1 points

We have;

The number of touch downs + Point kicks = 15

The number of touch downs = 15 - Point kicks

Let the number of point kicks = P

Therefore;

The number of touch downs = 15 - Point kicks = 15 - P

The number of touch downs = 15 - P

Given that the total points of UT Longhorns = 70, we have;

6 × (15 - P) + 1 × P = 70

90 - 6·P + P = 70

5·P = 90 - 70 = 20

P = 4

∴ The number of point kicks = P = 4

The number of point kicks, extra points = 4

The number of touch downs = 15 - P = 15 - 4 = 11

The number of touch downs = 11

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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Given:

When the price of admission was $19, the attendance was about 1550 customers per week

And, when the price of admission was dropped to $16,

attendance increased to about 2350 per week

Let the attendance = A

And the price = p

The linear equation will be A = mp + b

Where (m) is the slope and (b) is the y-intercept

So,

When p = 19, A = 1550

When p = 16, A = 2350

So,

So,

we will find the value of (b) as follows:

So, the answer will be the linear equation is:

For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

Add (6) to both sides:

So, the answer will be the number is 18

Answer:

2/5

Step-by-step explanation:

no of sample space , n(s) = 10

no. of probable cases, n(e) = 4

Probability of the arrow landing on a red section , P(e)

= n(e)/n(s)

= 4/10

= 2/5

Answer:

the answer is b, 2/5

Step-by-step explanation:

Answer:

y=1/6x+2

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 1/6. So you can right away fill in the equation for a line somewhat to read:

y=1/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(12,4). When x of the line is 12, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (12,4).

So, why not plug in for x the number 12 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(12,4). y=mx+b or 4=1/6 × 12+b, or solving for b: b=4-(1/6)(12). b=2.

Answer:

the sale price would be $48

Step-by-step explanation:

To get the sale price you would have to find the decimal form of 40 which is 0.40. Then you multiply 0.40 by 120. And that is 48.00. So than the $48.00 becomes the sale price.

Hope that helps :)

Answer:

y = -3/4x + 9

Step-by-step explanation:

first, find the slope by taking the difference of the y-values / difference of the x-values

(-3-12) / (16-(-4)) which equals -15/20 or -3/4

now use that value to represent the 'm' in the formula in order to find 'b'

y = mx + b

-3 = -3/4(16) + b

-3 = -12 + b

9 = b

y = -3/4x + 9

Answer:

d

Step-by-step explanation:

i quadratic function has to have ^2 and in answer d there is no square

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

The degrees of freedom of a model refer to the number of independent pieces of information that are available to estimate the model parameters.

In other words, it represents the number of observations that are free to vary in the analysis. To view the degrees of freedom of the model, we can use the Coordinates panel in the statistical software. The total number of degrees of freedom in a model depends on the number of variables and observations in the data set.

For example, if we have a data set with 100 observations and 5 variables, including an intercept, the total number of degrees of freedom in the model would be 94. This is because the intercept uses one degree of freedom, and each additional variable uses one degree of freedom.

Therefore, the total number of degrees of freedom is equal to the number of observations minus the number of variables used in the model. The Coordinates panel provides a convenient way to view this information and can help us better understand the statistical properties of our model.

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The number of moths in the collection is given as follows:E) 84.

The number of moths in the collection is obtained by applying the proportions in the context of the problem.

The total number of insects in the collection is given as follows:112 insects.

The fraction relative to moths in the collection is given as follows:3/4.

Hence the number of moths in the collection is given as follows:3/4 x 112 = 84.

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The question in English :

Luis's insect collection is

composed of 112 insects, and 3/4 of them

they are butterflies. How many butterflies are in the

collection?

(A) 28

(B) 37

(C) 64

(D) 75

(E) 84

Answer:

2 pairs

Step-by-step explanation:

Each pair is 60$ and he has 150$

so 150 divided by 60 equals 2.5

Answer:

5*3ˣ

Step-by-step explanation:

We see that when x=0 y=5

this means that we can write

a*b⁰=5

a*1=5

a=5

Now we just need to solve for B

using the point (1,15) we can write

15=5*b¹

3=b

Which all comes together to mean

5*3ˣ

Answer: 100 to 200 mm

Step-by-step explanation:

Based on my analysis of the current geopolitical landscape, the probability of the United States and China going to war this century is difficult to predict with certainty.

However, it is essential to understand that a military conflict between two of the world's superpowers would have catastrophic consequences not only for both countries but for the entire global community.

The probability of war between the US and China cannot be entirely ruled out due to several factors, including historical tensions, economic competition, territorial disputes, and geopolitical rivalry. Both countries have shown assertiveness in their foreign policies, and their interests often clash.

However, it is crucial to note that a military confrontation would have significant risks and costs for both countries, as well as the global economy and security. Therefore, it is in the best interest of both countries to avoid any escalation of tensions and to engage in constructive dialogue to address their differences. Diplomacy and cooperation are vital tools to prevent conflicts and build a stable and peaceful world order.

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The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer:

Step-by-step explanation:

From the similarity of triangles GHJ and JHI we get:

This is a expression of the geometric mean

Answer:

c new coordinates are (1,3) d new coordinatecoordinates are (3,3) e new coordinates are (1,1)

Step-by-step explanation:

Answer:

E' (1,1)

C' (1,3)

D' (3,3)

Step-by-step explanation:

This is the correct rotation of the triangle.

Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.

Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.

When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).

For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.

This is known as constructive interference.

On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.

This is known as destructive interference.

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The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

The set of all potential outcomes or results of an experiment or random trial is referred to as the sample space in probability theory. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space.

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Answer:

80

Step-by-step explanation:

Substitute the given values into the expression

b²(a - 2c)

= (- 4)²(3 - 2(- 1))

= 16(3 + 2)

= 16 × 5

= 80

Answer: -80

Step-by-step explanation:

-4^2(3-2 x -1)= -80

Answer:

5. Angles FGE and CGE are supplementary

6. Angles FGE and BGC are vertical

7. Angles FGE and GED are adjacent

Step-by-step explanation:

Problem 5

Explanation:

The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)

========================================================

Problem 6

Answer: Angle AGB and angle EGD

Explanation:

Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)

========================================================

Problem 7

Explanation:

The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)

Answer:

u = 4 yards

Step-by-step explanation:

Step 1:  Find u using sin

\(sin(x) = \frac{opposite}{hypotenuse}\)

\(sin(30)=\frac{u}{8}\)

\(8*sin(30)=u\)

Step 2:  Plug into a calculator

\(8*sin(30)=u\)

\(8 * \frac{1}{2} = u\)

\(4 = u\)

Answer:  u = 4 yards

Answer:

They are similar.  Triangle abc is similar to triangle edc.

Step-by-step explanation:

To prove that triangles are similar, you must show that the 3 angles in one triangle are equal to the 3 angles in the other triangle.  We know that they both have a 50 degree angle.  We can also see that they both have a right angle.  That means that the 3rd angle must also equal 40 (180-90-50).  So by AAA the two triangles are congruent.

Triangle ABC is similar to triangle EDC.

Answer:

triangle ABC is similar to triangle DCE

Step-by-step explanation:

Reason being that angles in triangle ABC Correspond to That of triangle DCE Eg triangle ABC=CDE

The probability that the A1 allele will be fixed is 0.4167, or about 42%.

We are given that;

Number of head= 150

Now,

Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that N = 150, (A1A1) = 25, (A1A2) = 75, and (A2A2) = 50. Substituting these values into the equations for p and q, we get:

\($$p = \frac{2(25) + (75)}{2(150)}$$$$p = \frac{125}{300}$$$$p = 0.4167$$$$q = \frac{2(50) + (75)}{2(150)}$$$$q = \frac{175}{300}$$$$q = 0.5833$$\)

Substituting these values into the equation for Pfix, we get:

\($$Pfix = \frac{p}{p + q}$$$$Pfix = \frac{0.4167}{0.4167 + 0.5833}$$$$Pfix \approx \frac{0.4167}{1}$$$$Pfix \approx 0.4167$$\)

Therefore, by probability the answer will be 0.4167 or about 42%.

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Answer:

\(volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} \)

Answer:

Step-by-step explanation:

\(\frac{8}{2x} =\frac{x}{6} \\2x^{2} =8 \times 6\\x^{2} =24\\x= \pm 2\sqrt{3} \\BD=2 \sqrt{3}\\FG=2 *2 \sqrt{3}=4\sqrt{3}\)