how many times as large is 600000000 as 2000

Answer:

B) -|x+3|

Step-by-step explanation:

Use the equation y=a|x-h|+k

a=-1 since the graph opens downwards with no stretch or shrink

h=-3 since the horizontal shift is 3 units right

k=0 since there's no vertical shift

Therefore, our equation is y=-|x+3| making B the correct answer

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

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The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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Answer:

Step-by-step explanation:

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer: the answer is c

Step-by-step explanation:

Answer:

c (The number of visits to a website doubles every 24 hours.)

Step-by-step explanation:

Answer:

\(number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you\)

Answer:

\(let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped\)

Answer:

The last one: 12x + 3

Step-by-step explanation:

6 + 4(3x - 2) + 5

6 + 12x - 8 + 5

12x + 6 - 8 + 5

12x + (-2) + 5

12x + 3

Answer:

(2/5)y and -0.2y

-6 and -2

Step-by-step explanation:

"like terms" means having the exact same variable(s) with the exact same exponent.

constant factors in the term can be different.

remember that x⁰ = 1, and so, pure constants are "like terms" too, as they can be seen as constant factor times variable⁰.

5x - 8 = 3x + 12

- 3x -3x

You have to subtract them both.

2x - 8 = 12

By using Green's Theorem, it can be calculated that

\(\int_c(5y+7e^x)dx+(10x+9cos(y^2))dy\) = \(\frac{5}{3}\)

What is Green's Theorem?

Green's Theorem gives a relationship between a line integral along a closed curve C and surface integral around plane region D bounded by C

By Green's Theorem,

\(\int_c Pdx+ Qdy = \int\int_D (\frac{\partial P}{\partial y} - \frac{\partial Q}{\partial x})dxdy\)

To evaluate \(\int_c(5y+7e^x)dx+(10x+9cos(y^2))dy\) using Green's Theorem,

Region is between the parabola \(y = x^2\) and \(x = y^2\)

To find point of intersection,

\(x = y^2\\x = (x^2)^2\\x = x^4\\x^4 - x = 0\\x(x^3 - 1) = 0\\x = 0 \ or \ x^3 - 1 = 0\\x = 0 \ or \ x^3 = 1\\x = 0 \ or \ x = 1\)

Along y- axis the limit of integration is from y = \(x^2\) to y = \(\sqrt{x}\)

P = \(5y + 7e^x\)

\(\frac{\partial P}{\partial y}\) = 5

Q = \(10x + 9(cos(y^2))\)

\(\frac{\partial Q}{\partial x}\) = 10

By Green's Theorem,

\(\int_c(5y+7e^x)dx+(10x+9cos(y^2))dy\)

= \(\int_{x = 0}^1\int_{y = x^2}^{\sqrt{x}}(10 -5)dxdy\\\\\int_{x = 0}^1\int_{y = x^2}^{\sqrt{x}}5dxdy\\\\\int_{x = 0}^1 5(\sqrt{x} - x^2)\\\\5[(\frac{2}{3})x^{\frac{3}{2}} - \frac{x^3}{3}]_0^1\\\\5(\frac{2}{3} -\frac{1}{3})\\\\\frac{5}{3}\)

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Answer:

2091 grams

Step-by-step explanation:

1000 g = 1kg

2*1000 = 2000g + 91g = 2091 g

Answer:

2kg 91 g = _2091_ g

Step-by-step explanation:

Conversion factor: 1 kg = 1000 g

1) kg = g / 1000

2) kg = 2091 / 1000

3) kg = 2.09

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

Answer: 35/4 or 8.75 or 8 3/4

Step-by-step explanation:

First, you start by multiplying the minus sign by the parenthesis.

you multiply a negative sign by a negative sign so it cancels out into a positive one.

Then it will be -3 1/2 + 12 1/4. Change the denominator to do both 4, so we can solve the equation.

-3 2/4 + 12 1/4. That will equal 8 3/4 or 35/4.

The answer is 8 3/4 or 35/4.

Answer:

Step-by-step explanation:

Firstly, change the mixed fraction into improper fraction.

Secondly, multipy 6 containers by 15/4 to get total tons of sugar.

Thus 6*15/4=22.5

Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet

Step-by-step explanation:

1 / 6 = 0.166666667 yards

1 yard = 0.9144 meters

0.9144 / 6 = 0.1524 meters

1 yard = 3 feet

3 / 6 = 0.5 feet

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

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Yes, knowing the value of b, the slope of the regression line, allows us to predict the correlation coefficient value with accuracy.

Regression and correlation techniques can be used to establish links between variables.

Every day, we refer to any form of association as a "correlation," using that word.

To determine whether or if there is a relationship between the variables under investigation, correlation analysis is used.

Although regression illustrates how the variables are related,

Correlation and regression analysis can be shown graphically using scatter plots.

According to the question,

If we know the value of the slopes of the regression line say byx and bxy

We can Calculate the value of Correlation coefficient by using the relation

=> r = √(byx × bxy)

Hence , Yes We can accurately guess the value of correlation when slope of regression line is given

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Answer:

From what I can remember they are congruent (the same)

Answer:

by using middle term break method

Step-by-step explanation:

9x^2 + 12x + 4

9x^2+ (6 + 6)x + 4

9x^2 + 6x + 6x + 4

3x(3x + 2) + 2(3x + 2)

(3x + 2)(3x + 2)

(3x + 2)^2

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer: d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The cost of the gift in the pounds is a 107.10 Pounds.

According to the statement

we have to find the cost of the gift in the pounds.

So, For this purpose, we know that the

The pound is the main unit of sterling, and the currency itself may be referred to by the compound noun pound sterling or the term British pound.

From the given information:

you change 350 pounds into dollars and get 588 dollars.

And the price of gift in dollars is a 126.

We know that the

1 Pound sterling equals to the 1.68 United States Dollar

it means

350 pounds in dollars = 1.68 *350

350 pounds in dollars = 588 dollars

And according to this

1 dollar = 0.85 pounds

So,

126 dollars into pounds = 126*0.85

126 dollars into pounds = 107.10 Pounds.

So, The cost of the gift in the pounds is a 107.10 Pounds.

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Answer:

square root of 3

Step-by-step explanation:

...................

cardsWe were given the following information:

A standard deck of cards has 52 cards

There are 13 Clubs cards in a standard deck

The probability of drawing a Clubs card is given by:

In the second draw, there are 51 cards left. The probability of picking a Clubs is given by:

The total probability is equal to the product of the individual probabilities, this is:

The Expected Value for 1 game is calculated as shown below:

If the same bet is done 872 times, I would expect to win:

I would expect to win $1,613.20

The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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we have (-3/4b^2)(-6a^2b^5)

so

simplify