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Answer:

3.1 * 10^10

Step-by-step explanation:

we know 1 billion is 1,000,000,000

In scientific notation

1,000,000,000=1 * 10^9

To find the value of 31 Billion

Multiply the value of one billion for 31

so

31 * 1 * 10^9  = 31 * 10^9

= 3.1 *  10^10

Answer:

Options A and B are polynomial of the fourth degree

Step-by-step explanation:

In this problem, option

A. 3x2y + 5x3y + 6y4

Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree

Also the option

B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial

What is the degree of a polynomial?

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer

Step-by-step explanation:

at 3=3

at 0=9

at 4=1

[tex]y = ax + b[/tex]

[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]

Answer:

y=-2x+9

Step-by-step explanation:

From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.

So:

0: 9

1:7

2:5

3:3

And the difference of y over the difference of x is the slope

-2/1=-2

So the slope is -2

Therefore, putting the equation together makes:

y=-2x+9

Hope this helps!

Picture relating to question has been attached below

Answer:

x = 10 ; y = 15

Step-by-step explanation:

The values for which the park is a parallelogram :

For the quadrilateral to be a parallelogram ; the diagonals will bisect each other such as :

VT = RV and UV = VS

From the diagram :

VT = 3x + 5y

RV = 6x + 3y

UV = 11y + 33 m

VS = 14y - 12 m

VT = RV and UV = VS

3x + 5y = 6x + 3y

3x - 6x = 3y - 5y

-3x = - 2y

3x = 2y

11y + 33 = 14y - 12

11y - 14y = - 12 - 33

-3y = - 45

y = 45/3

y = 15

From ;

3x = 2y

3x = 2*15

3x = 30

x = 30/3

x = 10

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

Answer:

-6x-10y

Step-by-step explanation:

Multiply -2 by everything in parenthesis

Step-by-step explanation:

For the denominator to become 100, we multiply 2 to the numerator and denominator:

23/50 = (23 * 2)/(50 * 2) = 46/100 = 46%.

Answer:

[tex] \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 46\%[/tex]

46% is the right answer.

Answer:

Step-by-step explanation:

Yes!

Answer:

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

Answer: 200 seats

Step-by-step explanation:

There are 96 students and 34 adults in a concert. The total number of people present is therefore:

= 96 + 34

= 130 people

These 130 people only fill 65% of the seats. Assume the total number of seats is x:

130 = 65% * x

x = 130/65%

x = 200 seats

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer: z = -3

Step-by-step explanation:

2/3z = -2

2z = -6 (Multiply both sides by 3)

z = -3 (Divide both sides by 2)

Answer:

15%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 molecules of SO2

each molecule contains 2 atoms of Oxygen

Answer:

Step-by-step explanation:

Answer: They would paint 36 props in 3 hours.

Step-by-step explanation:

Given: The squad painted 18 props in 90 minutes.

Time taken to paint each prop = [tex]\dfrac{90\text{ minutes}}{18}[/tex]

= 5 minutes

Now, 1 hour = 60 minutes

3 hours = 3 x 60 minute = 180 minutes

Total props painted in 3 hours = (180 )÷5

= 36

Hence, with same rate , they would paint 36 props in 3 hours.

x+11/-2=-8

x+11/-2 x -2= -8 x -2

x+11= 16

X+11-11=16-11

x = 5

Answer:

183.5

Step-by-step explanation:

To round 183.47 to the nearest tenth consider the hundredths’ value of 183.47, which is 7 and equal or more than 5. Therefore, the tenths value of 183.47 increases by 1 to 5.

183.47 rounded to the nearest tenth = 183.5

Answer:

4(7)^2-12(7)-3

4×49-84-3

112-3

109

Answer: Your correct and final answer should be 109.

Step-by-step explanation:

All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}

4(7)^2 -12(7) -3

4×49 -84 -3

112-3 = 109

Answer:

x = -5

Step-by-step explanation:

If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.

Isolate x.

-4x = 22 - 2

= -4x = 20

= x = 20 ÷ -4

= x = -5

Answer: A, 3 B, 2 C, 6

Step-by-step explanation:

Answer:

50,4 €

Step-by-step explanation:

De la pregunta anterior,

1 minuto = 16 €

3,15 minutos = x

Cruz multiplicar

x × 1 minuto = 16 € × 3,15 minutos

x = € 16 × 3,5 minutos / 1 minuto

x = 50,4 €

Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.

Answer:

7200

Step-by-step explanation:

100/(100-15) * 6120 = 7200

Answer:

-2, 2

Step-by-step explanation:

those are the answers uwu

Answer:

10/8

Step-by-step explanation:

What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.

(2 * 5)/8

10/8

The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.