Round 79.045 to the nearest tenth

Based on the image attached below, ∠3 and ∠ 4 are co - exterior angles.

Two angles are said to be co-exterior angles if they are exterior angles and lie on the same side of the transversal.

∠3 and ∠ 4 lie on a set of parallel line (given). They lie on the same side of the transversal, on the exterior of it. Therefore, ∠3 and ∠ 4 are co-exterior angles  implying their sum to be 180°.

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Answer:

x=1 y=-2

Step-by-step explanation:

2x-4y=10

3x+4y=-5

5x=5

x=1

plug in x

3(1)+4y=-5

4y=-8

y=-2

Answer:

60 tulips

Step-by-step explanation:

1 daffodils : 3 tulips

Since she planted 20 daffodils

20 × 3 = 60 tulips

The air supply to the reactor is 1250 mol/min, and its composition in volume percent is approximately 91.20% nitrogen (N₂) and 8.80% oxygen (O₂).

To determine the air supply to the reactor in moles and its composition in volume percent, we need to consider the stoichiometry of the reactions and the component flows of the product.

Given data:

Ammonia feed rate: 100 mol/min

Ammonia feed temperature: 25°C

Ammonia feed pressure: 8 bar

Air feed temperature: 150°C

Air feed pressure: 8 bar

Product temperature: 700°C

Product pressure: 8 bar

Product component flows: 90 mol NO/min, 150 mol H2O/min, 716 mol N₂/min, and 69 mol O2/min

First, let's determine the molar flow rate of nitrogen (N₂) and oxygen (O₂) in the product:

The stoichiometry of the reactions tells us that for every 4 moles of NH3, we get 4 moles of NO and 6 moles of H2O.

From the product component flows, we have 716 mol N₂/min and 69 mol O₂/min.

Since the product does not contain any NH₃, all the nitrogen in the product is from the air fed into the reactor. Thus, the molar flow rate of nitrogen (N₂) in the air is 716 mol/min.

The molar flow rate of oxygen (O₂) in the air can be determined by subtracting the molar flow rate of nitrogen (N₂) from the total molar flow rate of oxygen in the product, which is 69 mol/min. Therefore, the molar flow rate of oxygen (O₂) in the air is 69 mol/min.

Next, let's determine the mole ratio of nitrogen to oxygen in the air supply:

The molar flow rate of nitrogen (N₂) in the air is 716 mol/min.

The molar flow rate of oxygen (O₂) in the air is 69 mol/min.

Therefore, the mole ratio of nitrogen to oxygen in the air supply is 716:69, which can be simplified to 358:34 or 179:17.

Finally, let's determine the air supply to the reactor in moles and its composition in volume percent:

The ammonia feed rate is given as 100 mol/min.

Since the stoichiometry of the first reaction tells us that 4 moles of NH₃ react with 5 moles of O₂, the moles of air required for the reaction can be calculated as (100/4) * 5 = 1250 mol/min.

The air supply to the reactor is therefore 1250 mol/min.

To determine the composition of the air in volume percent, we need to calculate the volume of nitrogen (N₂) and oxygen (O₂) in the air.

The molar volume of an ideal gas at standard temperature and pressure (STP) is 22.4 L/mol.

The volume of nitrogen (N₂) in the air is 716 mol/min * 22.4 L/mol = 16038.4 L/min.

The volume of oxygen (O₂) in the air is 69 mol/min * 22.4 L/mol = 1545.6 L/min.

The total volume of the air supply is 16038.4 L/min + 1545.6 L/min = 17584 L/min.

The volume percent of nitrogen (N₂) in the air is (16038.4 L/min / 17584 L/min) * 100% = 91.20% (approximately).

The volume percent of oxygen (O₂) in the air is (1545.6 L/min / 17584 L/min) * 100% = 8.80% (approximately).

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(i) Large Table Required are 3 and Small Table required are 8

(ii) Price of Student Ticket is $5.5 and Adult Ticket is $7.5

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

(i)

Seats in Large Table = 12

Cost of Large Table = $50

Seats in Small Table = 8

Cost of Small Table = $25

Let, Number of Large Tables = x

Number of Small Tables = y

According to the Question:

12x + 8y = 100

50x + 25y = 350

x = 3, y = 8 (refer graph 1)

(ii)

Cost of Student Ticket = x

Cost of Adult Ticket  = y

According to the Question:

16x + 3y = 110.5

12x + 4y = 96

x = $5.5, y = $7.5 (refer graph 2)

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Answer:

222,547.5 cm^3.

Step-by-step explanation:

The formula for the volume of a cylinder is pi * r^2 * h.

In this case, h = 315.

r = 30 / 2 = 15.

pi * (15)^2 * 315

= pi * 225 * 315

= pi * 70,875

= 3.14 * 70,875

= 222,547.5 cm^3.

Hope this helps!

The measured interior angles of the triangle are 40°, 60°, and 80° in ascending order.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

The triangle has interior angles are:

(2x)°, (3x)° and (4x)°

As we know that the sum of interior angles is 180 degrees in the triangle.

According to the given figure,

(2x)° + (3x)° + (4x)° = 180°

Apply the addition operation in the above equation,

9x = 180

x = 180/9

x = 20°

Thus, The triangle has interior angles are:

(2x)° = 2 × 20° = 40°

(3x)° = 3 × 20° = 60°

(4x)° = 4 × 20° = 80°

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Answer: Its c

Step-by-step explanation:

I did it

The function that represents the total cost, in dollars, of a rafting trip at the resort is f(x) = 25x + 45

For given question,

the fixed cost to rent a raft is $45

and the per person cost for each person in the raft is $25.

Here, the variable cost is the per person cost for each person in the raft as it depends on the number of people in the raft.

Let, x be the number people

The cost for 'x' people would be,

25x

So, the function that represents the total cost, of a rafting trip at the resort as a function of the number of people in the raft would be,

f(x) = 25x + 45

Therefore, the function that represents the total cost, in dollars, of a rafting trip at the resort is f(x) = 25x + 45

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Answer:

A = 0; B = -9/2

Step-by-step explanation:

To have no solutions, you need parallel lines with equal slopes and different y-intercepts.

3x + 4y = A      Eq. 1

Bx - 6y = 15     Eq. 2

In Eq. 1, notice that the coefficient of x is 3/4 of the coefficient of y.

We must have the same ratio for the coefficients in Eq. 2.

B/(-6) = 3/4

4B = -6(3)

4B = -18

B = -9/2

Now we have

3x + 4y = A      Eq. 1

-9/2 x - 6y = 15     Eq. 2

How do we change the left side of the second equation into the left side of the first equation? -6/4 = -3/2 and also -9/2 ÷ 3 = -3/2

To change the left side of the second equation into the left side of the first equation, divide the left side by -3/2.

If we divide 15 by -3/2 we get -10.

The equation -9/2 x - 6y = -10 is the same as Eq. 1, so that would create a system of equations with only one equation and an infinite number of answers.

To have no equations, the y-intercepts must be different, so A can be any number other that -10.

Answer: A = 0; B = -9/2

Answer:  5.2×103. = 5.2×1000. = 5200

Step-by-step explanation:

Answer:

10 : 7

Step-by-step explanation:

Deleting 56 songs leaves 136 - 56 = 80 songs, thus

ratio of songs kept : songs deleted = 80 : 56 ( divide both parts by 8 )

80 : 56 = 10 : 7 ← in simplest form

Question :

(-2+1)exponent2+5(12/3)-9=

Answer:

The answer is : 12 po

Answer:

10b

Step-by-step explanation:

its algebra and they are all b so you just add them.

If it were 6a +2b it would have just been the same because the digits are different.

Answer:

2$

Step-by-step explanation:

2 medium popcorns = 9$

2 Movie tickets = 16$

One coupon = -4$

This is equal to the cost without the soft drink(21$)

23$ - 21$ = 2$

Answer:

$2

Step-by-step explanation:

It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.

1. Start from the cost of each item.

2. Add the totals together.

16+9+ 25

Now subtract 25 from the original amount.

27-25=2

It costs 2 dollars for a soft drink.

Answer:

b ≥ 8

Step-by-step explanation:

b + 4 + 2(-2b + 4) ≤ -12

b + 4 - 4b + 8 ≤ -12

-3b + 12 ≤ -12

-3b ≤ -24

b ≥ 8

Answer:

There is no graph!

Step-by-step explanation:

Answer:

As time went by, the number of hurricanes tended to increase

Step-by-step explanation:

There is a positive relationship in the data—low values of x are associated with low values of y, and high values of x are associated with high values of y.

As time went by, the number of hurricanes tended to increase.

The number of oranges and the number of mangoes that she bought will be 20 and 5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A woman saw oranges and mangoes at the market.

She bought some oranges at 35 cents each and some mangoes at $1.00 each.

If she bought a total of 25 fruits which had a total cost of $12.00.

Let x be the number of oranges and y be the number of mangoes.

Then the equations will be

       x + y = 25  ...1

0.35x + y = 12  ...2

By solving equations 1 and 2, we have

x = 20 and y = 5

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The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.

Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.

We have to first form an equation.

If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.

Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.

y+y+1+1+1=y+y+y+y+2

2y+3=4y+2

2y-4y=2-3

-2y=-1

y=1/2

Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.

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Question is incomplete as it should include the given figure.

Answer:

The petrol used was 0.1 litre for every 1 kilometre.

To determine the validity of the argument that "Mr. Einstein is a professor," we can use a Venn diagram. Here's how to

do it:Step 1: Draw two overlapping circles, one for "Professors" and one for "People who wear glasses."Step 2: Label the circle for professors "P" and the circle for people who wear glasses "G."Step 3: Write "Some professors wear glasses" in the area where the circles overlap.Step 4: Write "Mr. Einstein wears glasses" in the area that represents

people who wear glasses but are not professors.Step 5: We cannot conclude that Mr. Einstein is a professor based solely on these premises since there are people who wear glasses but are not professors. Therefore, the argument is invalid.Here is a visual representation of the

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Answer:

\(\frac{dy}{dx} = 2 + \frac{2}{{(x - 1)}^{ 3} } \)

Step-by-step explanation:

\(let \: y = 2x - \frac{1}{(x - 1)^{2} } \\ \\ \implies \: y = 2x - {(x - 1)}^{ - 2} \\ \\ differentiating \: w.r.t. \: x \: on \: both \: sides \\ \\ \frac{dy}{dx} = \frac{d}{dx} (2x) - \frac{d}{dx} {(x - 1)}^{ - 2} \\ \\ \frac{dy}{dx} = 2\frac{d}{dx} (x) - \frac{d}{dx} {(x - 1)}^{ - 2} \\ \\ \frac{dy}{dx} = 2(1) - ( - 2) {(x - 1)}^{ - 2 - 1} \frac{d}{dx} (x - 1)\\ \\ \frac{dy}{dx} = 2 + 2 {(x - 1)}^{ - 3} (1 - 0)\\ \\ \frac{dy}{dx} = 2 + 2 {(x - 1)}^{ - 3} (1)\\ \\ \frac{dy}{dx} = 2 + \frac{2}{{(x - 1)}^{ 3} } \)

The scale factor was applied to the first diamond is 2.5

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

The diamonds

The scale factor is calclated as

scale factor = Diamond 2/Diamond 1

Substitute the known values in the above equation, so, we have the following representation

scale factor = 1.5/0.6

Evaluate

scale factor = 2.5

Hnce, the scale factor is 2.5

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There are 12 cells or groups in a 3 × 4 ANOVA design.

So, the answer is option B.

This design involves three levels of one independent variable and four levels of another independent variable, resulting in 12 unique combinations or cells.

Each cell represents a specific condition or treatment group in the study, and the dependent variable is measured for each group.

ANOVA, or analysis of variance, is a statistical method used to compare means between groups to determine if there are significant differences. Understanding the number of cells or groups in the design is important for planning the study and interpreting the results accurately.

Hence,the correct answer is B.

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The only number that is 10 times as much as 72 is 720.

To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:

10 times 72 = 720

1/10 of 72 = 7.2

So, the numbers that are 10 times as much as 72 are 720.

The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.

On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.

Therefore, the only number that is 10 times as much as 72 is 720.

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complete question

Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.

- 67

-46

-720

-480

The missing numbers can be filled up as follows:

1. 200

2. 20%

3. 225

4. 800

5. 2%

To fill up the table, note that percentage is obtained by dividing a base by rate. The rate will also be changed to the decimal format before the computation is done. On this note:

P = B * R

1. 20 = x * 0.1

20 = 0.1x

Divide both sides by 0.1

x = 200

2. 90 = 450 * R

R = 90/450

R = 0.2 OR 20%

3. P = 900 * 0.25

P = 225

4. 280 = B * 0.35

B = 280/0.35

B = 800

5. 14 = 700 * R

R = 14/700

R = 0.02 OR 2%

So, with the given formula, we could generate the base, rate, and percentages of the numbers.

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Answer:

\(y = -x +2\)

Step-by-step explanation:

\(\text{Given that,}\\\\~~~~~~~~~~x^3 +y^3 = 2xy\\\\\implies \dfrac{d}{dx}(x^3 +y^3) = 2\dfrac{d}{dx}(xy)\\\\\implies 3x^2 +3y^2 \dfrac{dy}{dx} = 2 \left( y + x\dfrac{dy}{dx}\right)\\\\\implies 3x^2 + 3y^2 \dfrac{dy}{dx} = 2y + 2x\dfrac{dy}{dx}\\\\\implies 3y^2 \dfrac{dy}{dx}-2x \dfrac{dy}{dx} = 2y - 3x^2\\\\\implies (3y^2 -2x) \dfrac{dy}{dx} = 2y-3x^2\\\\\implies \dfrac{dy}{dx} = \dfrac{2y-3x^2}{3y^2 -2x}\\\)

\(\text{At (1,1),}\\\\\text{Slope,}~ m = \dfrac{dy}{dx}\\\\~~~~~~~~~~~~~=\dfrac{2(1) -3(1^2)}{3(1^2) -2(1)}\\\\~~~~~~~~~~~~~=\dfrac{2-3}{3-2}\\\\~~~~~~~~~~~~~=\dfrac{-1}{1}\\\\~~~~~~~~~~~~~=-1\)

\(\text{Equation of tangent line,}\\\\~~~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -1 = -1(x-1)\\\\\implies y -1 = -x+1\\\\\implies y = -x +1+1\\\\\implies y = -x +2\)

The length of something like the curve is 8.083, going per the supplied statement.

Curve, An abstract phrase used to characterize the trajectory of a continually moving point in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a solid line or a collection of connected line segments. The IS curve displays permutations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which the commodity is in homeostasis are represented by the IS Curve.

\(\begin{aligned}& r(t)=\left\langle 8 t, t^2, \frac{1}{12} t^3\right\rangle \\& r^{\prime}(t)=\left\langle 8,2 t, \frac{t^2}{4}\right\rangle\end{aligned}\)

\(\begin{aligned}& \left|\lambda^{\prime}(t)\right|=\sqrt{64+4 t^2+\frac{t^4}{16}}=\sqrt{1 / 16\left(t^2+32\right)^2} \\& \left|r^{\prime}(t)\right|=\frac{1}{4}\left(t^2+32\right)\end{aligned}\)

Length of arc = \(\int_a^b\left|r^{\prime}(t)\right| d t\)

\(\begin{aligned}& L=\frac{1}{4} \int_0^1\left(t^2+32\right) d t \\& L=\frac{1}{4}\left[\frac{t^3}{3}+32 t\right]_0^1=\frac{1}{4}\left[\frac{1}{3}+32\right]\end{aligned}\)

L = 8.083

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Renee is incorrect because the inverse of the function f(x) = 2x - 4 is f⁻¹(x) = (x + 4)/2 and as such her graph is also a wrong representation of the two functions.

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = y = 2x - 4

x = 2y - 4

2y = x + 4

f⁻¹(x) = y' = (x + 4)/2

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