PLEASE HELP QUICK!!!

Answer:

4

Step-by-step explanation:

tan 45° = 1

so,

4tan 45° = 4*1

= 4

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ7

ok so as all of the angles in a triangle is 180 so

Answer:

The answer should be about $81.20

Step-by-step explanation:

$14.50 x 5weeks = $72.50

A school week is usually 5 days.

The middle of the week is Wednesday, so that's 3 whole days.

$14.50 / 5days = $2.90 per day

$2.90 x 3days = $8.70

$72.50 + $8.70 = $81.20

a lotStep-by-step explanation:

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

Answer:

1. 46/35 or 1 11/35

2. 5/4 or 1 1/4

3. 5/4 or 1 1/4

4. 7/3 or 2 1/3

Step-by-step explanation:

Answer:

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

The given translates as:

Use given x - intercepts to get the equation:

Use the coordinates of P to find the value of a:

The equation of this parabola is:

Answer:

\(\textsf{Intercept form}: \quad y=-\dfrac{2}{7}(x+4)(x-7)\)

\(\textsf{Standard form}: \quad y=-\dfrac{2}{7}x^2+\dfrac{6}{7}x+8\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

If the x-intercepts are (-4, 0) and (7, 0) then:

Substitute the values of p and q into the formula:

\(\implies y=a(x-(-4))(x-7)\)

\(\implies y=a(x+4)(x-7)\)

To find a, substitute the given point on the curve P (3, 8) into the equation:

\(\implies 8=a(3+4)(3-7)\)

\(\implies 8=a(7)(-4)\)

\(\implies 8=-28x\)

\(\implies a=\dfrac{8}{-28}\)

\(\implies a=-\dfrac{2}{7}\)

Substitute the found value of a into the equation:

\(\implies y=-\dfrac{2}{7}(x+4)(x-7)\)

Expand to write the equation in standard form:

\(\implies y=-\dfrac{2}{7}(x^2-3x-28)\)

\(\implies y=-\dfrac{2}{7}x^2+\dfrac{6}{7}x+8\)

Answer:

Remove the negative from the 1 on the first increasing interval

Answer:

\(The\) \(answer\) \(is\) \(B\) = Both the mean and median will increase, but the mean will increase by more than the median

- written in \(2/5/2021\)

The molar composition of the product stream is: CO2: 68.65%, O2: 6.01%, and N2: 25.34%.

Given that a gas power plant combusts 600 kg of coal every hour in a continuous fluidized bed reactor that is at a steady state.

The composition of coal fed to the reactor is found to contain 89.20 wt% C, 7.10 wt% H, 2.60 wt% S, and the rest moisture.

Air is fed at 20% excess and that only 90.0% of the carbon undergoes complete combustion. The following are the answers to the questions that follow:

Calculate the air feed rate - The first step is to balance the combustion equation to find the theoretical amount of air required for complete combustion:

\(C + O2 → CO2CH4 + 2O2 → CO2 + 2H2OCO + (1/2)O2 → CO2C + (1/2)O2 → COH2 + (1/2)O2 → H2O2C + O2 → 2CO2S + O2 → SO2\)

From the equation, the theoretical air-fuel ratio (AFR) is calculated as shown below:

Carbon: AFR

1/0.8920 = 1.1214

Hydrogen: AFR

4/0.0710 = 56.3381

Sulphur: AFR

32/0.0260 = 1230.7692

The AFR that is greater is taken, which is 1230.7692. Now, calculate the actual amount of air required to achieve 90% carbon conversion:

0.9(0.8920/12) + (0.1/0.21)(0.21/0.79)(1.1214/32) = 0.063 kg/kg of coal

The actual air feed rate (AFR actual)

AFR × kg of coal combusted = 1230.7692 × 600

= 738461.54 kg/hour or 205.128 kg/s

The air feed rate is 205.128 kg/s or 738461.54 kg/hour.

Calculate the molar composition of the product stream

Carbon balance: C in coal fed = C in product stream

Carbon in coal fed:

0.892 × 600 kg = 535.2 kg/hour

Carbon in product stream

0.9 × 535.2 = 481.68 kg/hour

Carbon in unreacted coal = 535.2 − 481.68 = 53.52 kg/hour

Molar flow rate of CO2 = Carbon in product stream/ Molecular weight of CO2

= 481.68/(12.011 + 2 × 15.999) = 15.533 kmol/hour

Molar flow rate of O2:

Air feed rate × (21/100) × (1/32) = 205.128 × 0.21 × 0.03125 = 1.358 kmol/hour

Molar flow rate of N2:

Air feed rate × (79/100) × (1/28) = 205.128 × 0.79 × 0.03571 = 5.720 kmol/hour

Total molar flow rate:

15.533 + 1.358 + 5.720 = 22.611 kmol/hour

Composition of product stream: CO2: 15.533/22.611

0.6865 or 68.65%

O2: 1.358/22.611 = 0.0601 or 6.01%

N2: 5.720/22.611 = 0.2534 or 25.34%

Therefore, the molar composition of the product stream is: CO2: 68.65%, O2: 6.01%, and N2: 25.34%.

Learn more about molar composition visit:

brainly.com/question/32811059

#SPJ11

The molar composition of the product stream is approximately:
- Carbon dioxide (CO2): 17.35%
- Water (H2O): 4.15%
- Sulfur dioxide (SO2): 0.19%
- Nitrogen (N2): 78.31%

To calculate the air feed rate, we need to determine the amount of air required for the complete combustion of carbon.

Calculate the moles of carbon in the coal:
  - The molecular weight of carbon (C) is 12 g/mol.
  - We know the weight percentage of carbon in the coal is 89.20 wt%.
  - Convert the weight percentage to mass: 600 kg * (89.20/100) = 534.72 kg of carbon.
  - Convert the mass of carbon to moles: 534.72 kg / 12 g/mol = 44.56 mol of carbon.

Calculate the stoichiometric amount of air required for complete combustion:
  - The balanced equation for the combustion of carbon is: C + O2 -> CO2.
  - From the balanced equation, we see that 1 mole of carbon requires 1 mole of oxygen (O2) for complete combustion.
  - Since air contains 21% oxygen, we can calculate the moles of air required: 44.56 mol * (1/0.21) = 212.17 mol of air.

Calculate the excess air:
  - We are given that air is fed at 20% excess. Excess air is the additional amount of air supplied beyond the stoichiometric requirement.
  - Calculate the excess air: 212.17 mol * (20/100) = 42.43 mol of excess air.
  - Total moles of air required: 212.17 mol + 42.43 mol = 254.60 mol.

Calculate the air feed rate:
  - We are given that the gas power plant combusts 600 kg of coal every hour.
  - The rate of coal combustion is equal to the rate of carbon combustion since only 90.0% of the carbon undergoes complete combustion.
  - Convert the rate of carbon combustion to moles: 44.56 mol/hour.
  - The air feed rate is the same as the moles of air required per hour: 254.60 mol/hour.

To calculate the molar composition of the product stream, we need to determine the moles of each component in the product stream.

Calculate the moles of carbon dioxide (CO2):
  - From the balanced equation, we know that 1 mole of carbon produces 1 mole of carbon dioxide.
  - The moles of carbon in the coal is 44.56 mol.
  - Therefore, the moles of carbon dioxide produced is also 44.56 mol.

Calculate the moles of water (H2O):
  - The weight percentage of hydrogen (H) in the coal is 7.10 wt%.
  - Convert the weight percentage to mass: 600 kg * (7.10/100) = 42.60 kg of hydrogen.
  - The molecular weight of water (H2O) is 18 g/mol.
  - Convert the mass of hydrogen to moles: 42.60 kg / 2 g/mol = 21.30 mol of hydrogen.
  - Since water contains 2 moles of hydrogen per mole of water, the moles of water produced is 21.30 mol / 2 = 10.65 mol.

Calculate the moles of sulfur dioxide (SO2):
  - The weight percentage of sulfur (S) in the coal is 2.60 wt%.
  - Convert the weight percentage to mass: 600 kg * (2.60/100) = 15.60 kg of sulfur.
  - The molecular weight of sulfur dioxide (SO2) is 64 g/mol.
  - Convert the mass of sulfur to moles: 15.60 kg / 32 g/mol = 0.4875 mol of sulfur.
  - Since sulfur dioxide contains 1 mole of sulfur per mole of sulfur dioxide, the moles of sulfur dioxide produced is 0.4875 mol.

Calculate the moles of nitrogen (N2):
  - Nitrogen is the remaining component in the air after combustion.
  - Since air contains 79% nitrogen, the moles of nitrogen is 79% of the moles of air: 254.60 mol * 0.79 = 201.03 mol.

Calculate the total moles in the product stream:
  - The total moles is the sum of the moles of carbon dioxide, water, sulfur dioxide, and nitrogen: 44.56 mol + 10.65 mol + 0.4875 mol + 201.03 mol = 256.72 mol.

Calculate the molar composition of the product stream:
  - The molar composition of each component is the moles of that component divided by the total moles, multiplied by 100 to get a percentage.
  - Carbon dioxide (CO2): (44.56 mol / 256.72 mol) * 100 = 17.35%
  - Water (H2O): (10.65 mol / 256.72 mol) * 100 = 4.15%
  - Sulfur dioxide (SO2): (0.4875 mol / 256.72 mol) * 100 = 0.19%
  - Nitrogen (N2): (201.03 mol / 256.72 mol) * 100 = 78.31%

Learn more about molar composition

https://brainly.com/question/32811059

#SPJ11

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

To know more about Mean visit.

https://brainly.com/question/31101410

#SPJ11

Question 1:

3.825 feet; The value means that a typical throw of the ball results in 3.825 feet.

Question 2:

2.5

Question 3:

How many hours do you practice your musical instrument each week?

Question 4:

The range is 4.5, and it means that the data varies by a value of 4.5.

Question 5:

80

Question 6:

Part A: Mean: (5 + 20 + 22 + 25 + 32 + 34 + 45 + 53 + 56 + 60)/10 = 35 minutes. Median: 32 minutes.

Part B: The student should give the median to their teacher because it represents the middle value and is not affected by outliers.

learn more about statistical data: https://brainly.com/question/15525560

#SPJ1

Answer:  314 -(112)

-314 -(112)= -314 * -112

Step-by-step explanation:

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

Learn more about cube;

brainly.com/question/15420947

#SPJ4

The theorem that explains why ∠4 ≅ ∠8 is the Alternate Interior Angles Theorem. The same side interior angles pair are ∠3 and ∠5, and ∠4 and ∠8.

Alternate Interior Angles theorem states that if two parallel lines are intersected by a transversal, then the alternate interior angles formed are congruent.

The same-side interior angles are the angles that are on the same side of the transversal and inside the two parallel lines. In the given diagram, the same-side interior angle pairs are ∠3 and ∠5, and ∠4 and ∠8.

All the angle pairs formed by the intersection of the two parallel lines and the transversal are

Corresponding angles are ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8

Alternate interior angles are ∠3 and ∠5, ∠4 and ∠8

Alternate exterior angles are ∠1 and ∠7, ∠2 and ∠6

Vertical angles are ∠3 and ∠4, ∠5 and ∠6, ∠1 and ∠2, ∠7 and ∠8

To know more about Alternate Interior Angles here

https://brainly.com/question/28380652

#SPJ1

The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Learn more about horizontal line graph on:

https://brainly.com/question/15616095

Answer:

The answer is no. The ratio in simplest form is 7:9

Step-by-step explanation:

You divide them by 2.

Answer:

4

Step-by-step explanation:

a/2 = 36/18

Reduce the right fraction.

a/2 = 2/1

Multiply both sides by 2.

a = 4

Answer: 4

Answer:

find slope m

m=y2-y1/x2-x1

m=-9-(-7)/-5-(-10)

m=-9+7/-5+10

m=-2/5

y=-2/5 x+b ( find b at point (-10,-7)

-7=-2/5(-10)+b

-7=20/5+b

b=-7-4

b=-11

y=-2/5 x -11 slope intercept form

y-(-7)=-2/5(x-(-10)

y+7=-2/5(x+10) point slope form

Answer:

46.5

Step-by-step explanation:

Solution

A=a+b

2h=5.3+13.3

2·5=46.5

Answer:

34 39/50 or 1739/50 as improper fraction

Step-by-step explanation:

34 is the whole number, and you have .78 left over

.78 is equal to 78/100

when simplified, 78/100 becomes 39/50

Answer is 34 39/50

Thanks for the Brainly points by the way :)

Answer:

y = \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1) ⇒ c = 1

y = \(\frac{1}{2}\) x + 1 ← equation of line

X measures 8.5 inches in value.

22 inches is the value of XR.

44 inches is the value of XY.

If a line is drawn connecting the two points, the midpoint is the point on the line that is equally distant from both points. A point B that is situated halfway between two other points, such as A and C, is said to be the midpoint.

The lengths of /XR/ and /RY/ are equivalent if R is the halfway between X and Y.

If /RY/ = 22, /XR/ must also be 22 if XR = (2x + 5) = 22.

Combine related phrases to find the value of x.

2x = 22 - 5

2x = 17x = 8.5 inches.

22 inches is the value of XR.

42 + 22 = 44 inches is the value of XY.

To know more about lengths or related problems you may visit the link which is mentioned below:

https://brainly.com/question/9536205

#SPJ4

Answer:

288

Step-by-step explanation:

1. Use the formula: P*T=N

P = percent, T = Total, and N is the other number.

2. So, P*T=N, therefore, 25%*T=72

3. Simplify .25*T=72

4. So get the Total (T) by itself, you have to divide both sides by .25

5. T = 72/.25

6. 288

The THEORETICAL probability of choosing a vowel is 3/8 and the experimental probability is 36/75

From the question, we have the following parameters that can be used in our computation:

In the letters of the word, we have

Vowels = 3

Letters = 8

By calculation, the theoretical probability of choosing a vowel is

Theoretical probability = Vowels/Letters

So, we have

Theoretical probability = 3/8

Based on the experiment, we have

Vowels = 15+9+12 = 36

Letters = 8+15+7+5+20+20 = 75

So, we have

Experimental probability = 36/75

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

x = 4

Step-by-step explanation:

-2 ( x+2)=-12

-2x - 4 = -12

-2x = -8

x = 4

The state that is valid is

"Every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circumference of the circle."

A diameter is a line that divides a circle into two halves, a diameter is also a chord

A chord is a line that connects points on a circle, a chord is not a diameter because it does not divide a circle into two equal halves

Learn more about circles here:

https://brainly.com/question/10458894

Answer:

C) 0 <\ x OR x />7

Step-by-step explanation:

The first arrow has a closed circle which indicates greater/less than or equal to. All the values shaded are to the left of 0. So, x is less than or equal to 0. The second arrow also has a closed circle. Since the shaded part of the arrow is to the right of 7, x is greater than or equal to 7.

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

Learn further about probability at

brainly.com/question/17960337

#SPJ11