Carbon dioxide is called a greenhouse gas for which of the following reasons?


A It absorbs and reradiates infrared radiation to warm the Earth.

B It is produced when coal and/or fossil fuels are burned.

C It is often used inside greenhouses.

D It's oxygen component is needed by plants to grow.

Answer:

x = 6

Step-by-step explanation:

let x = the width

let x + 8 = the length

Area = w times l

84 = 14 x 6

width = 6

length = 6+8

           = 14

Answer:

33 units³

Step-by-step explanation:

Volume of a rectangular prism

\(\sf Volume = Area\:of\:base \times height\)

From inspection of the given diagram:

Substitute the given values into the formula and solve for volume:

\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)

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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)

\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)

\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)

\(\\ \tt\dashrightarrow Volume=3(11)\)

\(\\ \tt\dashrightarrow Volume=33units³\)

Answer:

8x + 2 + 10x - 4 + 38 = 180

18x + 36 = 180

18x = 144, so x = 8

Angle A measures 8(8) + 2 = 64 + 2 = 66°.

Some expenditures and revenues in personal budget are listed below.

Expenditures:

1. Housing: This includes rent or mortgage payments, property taxes, and utility bills.

2.Transportation: This includes the cost of owning and maintaining a vehicle, as well as any public transportation costs.

3. Food: This includes the cost of groceries and dining out.

4. Insurance: This includes health, car, and homeowner's or renter's insurance.

5. Personal Care: This includes expenses such as clothing, grooming, and personal hygiene products.

6. Entertainment: This includes expenses for hobbies, recreation, and leisure activities.

Revenues:

1. Salary: The money earned from a job or employment.

2. Investment Income: This includes money earned from stocks, bonds, and other investments.

3. Business Income: This includes money earned from a small business or self-employment.

4. Rent Income: This includes money earned from renting out property or other assets.

5. Government Benefits: This includes money received from programs such as Social Security and unemployment benefits.

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Answer:

  30 gallons

Step-by-step explanation:

Let c represent the capacity of the container in gallons.

  2/5c +8 = 2/3c . . . . adding 8 gallons to 2/5 full gives 2/3 full

  8 = (2/3-2/5)c = 4/15c . . . . subtract 2/5c

  8(15/4) = c = 30 . . . . . . . . . multiply by 15/4

The container can hold 30 gallons.

Answer:

Step-by-step explanation:

Let's solve for g.

gx=(−14(x−21))(2)+47

Step 1: Divide both sides by x.

gx

x

=

−28x+635

x

g=

−28x+635

x

Answer:

g=

−28x+635

x

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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The inequality equation that models the situation is given as

           $9z + $15.50y ≥$410

According to the question we have been given that

   Money Alice has to earn at least = $410

   Money she gets for 1 hour in grocery store = $9

  Money she gets for 1 hour in tutoring = $15.50

We need write an inequality equation for these situation.

Let the number of hours she work at grocery store be z

Let the number of hours she works tutoring be y

As it is an inequality equation the inequality sign will be greater than that is '≥'.

Thus the inequality equation is given as

           $9z + $15.50y ≥$410

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Answer: 9x + 15.5y ≥ 410

She earns $9 per hour at the grocery store and $15.50 per hour while tutoring. At each job, the number of hours multiplied by the hourly wage will give the amount of money earned.

The amount earned at the grocery store

9x plus amount earned tutoring 15.5y is at least 410

The inequality that models this situation is therefore

9x+15.5y≥410

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer: Second option, 2^2x+6=2^6

Step-by-step explanation:

You can simplify 4^x+3 by making the 4 into 2^2. By doing this you also multiply the current powers of 4 by 2, giving you (x+3) • 2, furthermore, 2^2x+6.

64 is a power of 2, so just multiply 2 by itself until you get the number you’re looking for and count how many times you do it. Or just type each option, like 2^4, 2^6 into the calculator until you find it.

Step-by-step explanation:

it should look smth like that

Answer:

Step-by-step explanation:

\(2) y^{\frac{3}{2}}=y^{3*\frac{1}{2}}\\\\=(y^{3}}^{\frac{1}{2}}\\\\=\sqrt{y^{3}}\)

b

\(3)a^{\frac{2}{3}}=a^{2*\frac{1}{3}}\\\\=(a^{2})^{\frac{1}{3}}\\\\=\sqrt[3]{a^{2}}\)

c

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

The equation for the absolute value function f(x) = |x| given that it has a vertical shift up 5 and a horizontal shift left 2 is f''(x) = |x+2| + 5.

Given function is,

f(x) = |x|

When a function f(x) has a vertical shift up k units, it becomes f(x) + k.

So, the function after a vertical shift up 5 becomes,

f(x) + 5 = |x| + 5

When a function f(x) has a horizontal shift left k units, it becomes f(x + k).

So, the function after a horizontal shift left 2 becomes,

f(x + 2) = |x+2| + 5

Hence the required equation is f''(x) = |x+2| + 5.

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No.

When you divide by a positive value you do not flip the inequality, only when dividing by a negative value.

2x < -6

To solve for c you divide both sides by 2, which is a positive value so the inequality stays the same:

X < -6/2

X < -3

Answer:

The rule for the transformation is (x, y) (-x, -y).

The coordinates of L'are (-2,-2).

The coordinates of N'are (-1,-6).

Step-by-step explanation:

Given

\(L = (2,2)\)

\(M = (4,4)\)

\(N = (1,6)\)

\(Ro=180\)

Required

Select three options

The rule to this is:

\((x,y) \to (-x,-y)\)

So, we have:

\(L = (2,2)\)

\(L' =(-2,-2)\)

\(M = (4,4)\)

\(M =(-4,-4)\)

\(N = (1,6)\)

\(N' = (-1,-6)\)

Inequalities are used to represent unequal expressions.

The system of inequalities is:\(6x + 3y \le 90\) and \(y \ge 2x\)

Represent oil paints with x, and acrylic paint with y.

Oil paints cost $6 per tube, while acrylic paint costs $3 per tube; and the budget is $90.

So, the inequality is:

\(6x + 3y \le 90\)

The ratio of acrylic tubes to oil tubes is at least 2 to 1.

So, we have:

\(y : x \ge 2 : 1\)

Express as fraction

\(\frac yx \ge \frac 21\)

Multiply both sides by x

\(y \ge 2x\)

So, the system of inequalities is:

\(6x + 3y \le 90\) and \(y \ge 2x\)

See attachment for the inequalities

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Answer:

The square root is 1.90

Step-by-step explanation:

Given

\(x = \sqrt{3.6}\)

Required

Find x

Express 3.6 as 36/10

So, we have:

\(x = \frac{\sqrt{36}}{\sqrt{10}}\)

This gives

\(x = \frac{6}{\sqrt{10}}\)

Rationalize

\(x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}\)

\(x = \frac{6\sqrt{10}}{10}\)

Using a calculator

\(\sqrt{10} \approx 3.16\)

So, we have:

\(x = \frac{6*3.16}{10}\)

\(x = \frac{18.96}{10}\)

\(x = 1.896\)

Approximate

\(x = 1.90\)

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Since the adjustable-rate mortgage is more expensive than the fixed-rate mortgage, the answer is $158,184 rounded to the nearest dollar.

To calculate the total cost of the adjustable-rate mortgage, we need to add up all the payments for the 30-year term:

Total cost = 5 years of payments at 4% + 10 years of payments at 6% + 10 years of payments at 8% + 5 years of payments at 10%

Total cost = (5 x 12 x $2,506.43) + (10 x 12 x $3,059.46) + (10 x 12 x $3,464.78) + (5 x 12 x $3,630.65)

Total cost = $150,385.80 + $367,135.20 + $415,773.60 + $217,839.00

Total cost = $1,151,133.60

To calculate the total cost of the fixed-rate mortgage, we can use a mortgage calculator or formula:

Total cost = Monthly payment x Number of payments

Total cost = $2,763.35 x 360

Total cost = $993,606

The difference in total cost between the two mortgages is:

Difference = Fixed-rate mortgage cost - Adjustable-rate mortgage cost

Difference = $993,606 - $1,151,133.60

Difference = -$157,527.60

Thus, the answer is $158,184 rounded to the nearest dollar. Therefore, the correct option is C.

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The dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.

Closing entries are the end-of-the-period journal entries made to transfer the temporary accounts to the Income Summary.

The closing entries are:

The closing entry for expenses will be as follows:

Debit Income Summary $60,360

Credit:

  Salaries Expense: 32,800

  Rent Expense: 16,800

  Depreciation expense - office equipment: 3,960

  Advertising expense: 4,000

  Office supplies expense: 2,800

Salaries Expense: 32,800

Rent Expense: 16,800

Depreciation expense - office equipment: 3,960

Advertising expense: 4,000

Office supplies expense: 2,800

Total expenses = $60,360

Thus, the dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.

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Answer:

Answer:

We use the formula:

y2 - y1 / x2 - x1

-2 - 1 / -7 - (-3)  ---> this gives us -3 / -4 or simply 3/4. So our slope for line 1 is 3/4.

Now using the formula, (y - y1) = m (x - x1) we find the line.

(y - 1) = 3/4 (x - (-3)) ---> (y - 1) = 3/4x + 9/4.

Now we add one to each side to get y = 3/4x + 13/4.

Now for line 2, we use the same process and formulas.

Find the slope of line 2.

4 - (-1) / 8 - 2 gives us 5/6. Our slope for line 2 is 5/6.

(y - (-1)) = 5/6 (x - 2).

(y + 1) = 5/6x - 5/3 ---> now subtract one from both sides to get...

y = 5/6x - 8/3.

Since the two lines do not have the same slope or the negative reciprocal of one slope being the other, the two lines through the given points are neither parallel nor are they perpendicular

Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

Answer:

She can overcome obstacles. ...

She is strong-minded. ...

She is soft-hearted. ...

She has integrity. ...

She has balance in her life. ...

She sets goals. ...

She is driven by a cause.

Answer:

Step-by-step explanation:

Let b>a

b-a=63

b=63+a

a+b=111, substituting 63+a from above in this equation gives you

a+63+a=111

2a+63=111

2a=48

a=24, since b=63+a

b=63+24

b=87 so the two numbers are

24 and 87

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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Step-by-step explanation:

kindly find attached detailed information of the remaining information as requested for your reference

1. The lower class limit is the left number in the age column

   i.e in the 25-34 the lower class limit is 25          

2. The upper class limit is the right number in the age column

   i.e in the 25-34 the lower class limit is 34

3. The class width is the difference  between the class boundaries of a single class

 class width = 34.5-24.5= 10

4. The number of individuals is= 29+34+16+3+5+1+2= 90