There are about 1.4 * 10^9 cubic kilometers of water on Earth. About 2.5% of the water is fresh water. How much freshwater is on Earth?

Answer:

Step-by-step explanation:

23). By applying triangle sum theorem in the given triangle,

    (x + 83)° + (x + 48)° + 65° = 180°

    2x + 196 = 180

    2x = -16

    x = -8

    Measure of angle A = x + 48

                                      = -8 + 48

                                      = 40°

     Therefore, Option A is the answer.

24). By triangle sum theorem,

     (3x + 14)° + 90° + (4 + 3x)° = 180°

     6x + 108 = 180

     6x = 72

     x = 12

     Measure of angle A = (4 + 3x)

                                       = 4 + 3(12)

                                       = 40°

     Therefore, Option A is the answer.

Answer:

i got 2730 hope its right

Step-by-step explanation:

Based on the information provided, we have a random sample of 60 measurements taken from a population with a mean (µ) of 25 and a variance (σ²) of 200.

The mean of the sample (X) will be equal to the population mean, so X = 25.

To calculate the standard error (SE) of the sample, we use the formula SE = σ / √n, where σ is the population standard deviation and n is the sample size. Since the variance is given as 200, the standard deviation (σ) is the square root of 200, which is approximately 14.14.

Now, we can calculate the standard error: SE = 14.14 / √60 ≈ 1.82.

So, the pair for the mean and standard error of x is (25, 1.82).

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The integral ∫ 5x²e⁴⁻⁸ˣ dx can be evaluated as (-5/64) (8x² e⁴⁻⁸ˣ - 16x e⁴⁻⁸ˣ+ 1/8 e⁴⁻⁸ˣ) + C

To evaluate the integral ∫ 5x²e⁴⁻⁸ˣ dx using integration by parts, we will apply the formula:

∫ u dv = uv - ∫ v du

Let's assign the functions:

u = 5x² (differentiable)

du=10x

dv = e⁴⁻⁸ˣ dx

v = ∫ e⁴⁻⁸ˣ  dx

Let's let u = 4 - 8x, which implies du = -8 dx. Solving for dx, we have dx = -du/8

\(= \int e^u (-du/8)\)

= \(-1/8 e^u + C\)

Now we can substitute the values of u and v back into the integration by parts formula:

∫ 5x² e⁴⁻⁸ˣ dx = uv - ∫ v du

= (5x²)(-1/8 e⁴⁻⁸ˣ- ∫ (-1/8 e⁴⁻⁸ˣ(10x dx)

∫ 5x²e⁴⁻⁸ˣ  dx = -5x²/8 e⁴⁻⁸ˣ + (10/8) ∫ xe⁴⁻⁸ˣ dx

Now u=x

du=dx

dv = e⁴⁻⁸ˣ dx

v = ∫e⁴⁻⁸ˣ  dx

Performing a u-substitution again, we have:

\(v = \int e^u du = e^u + C\)

Now we can substitute the values of u and v into the above equation:

∫ 5x²e⁴⁻⁸ˣ  dx = -5x²/8 e⁴⁻⁸ˣ + (10/8) (xe⁴⁻⁸ˣ  - ∫ e⁴⁻⁸ˣ )dx

∫ 5x²e⁴⁻⁸ˣ  dx = -5x²/8 e⁴⁻⁸ˣ + (10/8) (xe⁴⁻⁸ˣ  - (xe⁴⁻⁸ˣ  - v dx))

Finally, substituting v = -1/8e⁴⁻⁸ˣ+ C:

∫ 5x²e⁴⁻⁸ˣdx = -5x²/8e⁴⁻⁸ˣ + (10/8)xe⁴⁻⁸ˣ- 10/8 (-1/8 e⁴⁻⁸ˣ+ C)

Simplifying and factoring out -5/64:

∫ 5x²e⁴⁻⁸ˣ dx = (-5/64) (8x² e⁴⁻⁸ˣ - 16x e⁴⁻⁸ˣ + 1/8e⁴⁻⁸ˣ) + C

Hence, the integral ∫ 5x²e⁴⁻⁸ˣ dx can be evaluated as (-5/64) (8x² e⁴⁻⁸ˣ - 16x e⁴⁻⁸ˣ+ 1/8 e⁴⁻⁸ˣ) + C

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Use Integration by parts to evaluate: ∫ 5x² e⁴⁻⁸ˣ dx

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

2x( 3x² - 2x - 8)

Next, Factorize the terms in the bracket

To factorize write - 2x as a difference

2x( 3x² + 4x - 6x - 8)

Factor out x from the expression

2x [ x( 3x + 4) - 6x - 8 ]

Next factor out - 2 from the expression

2x [ x ( 3x + 4) - 2( 3x + 4) ]

Factor out 3x + 4 from the expression

The final answer : 2x( 3x + 4)( x - 2)

Letter C

Answer:

4 years

Step-by-step explanation:

Answer:

7 years without either of them, 13 years without your father.

Step-by-step explanation:

I'm so sorry for your loss

Product is the multiplication of numbers. The product of the (5x-11)² is (25x²-110x+121).

A product is the multiplication of a number or expression to another expression.

We know in order to find the product of (5x-11)², we need to multiply each of the terms inside the bracket to each term in the second bracket. therefore, the solution of the problem can be given as,

\((5x-11)^2\\\\= (5x-11) \times (5x-11)\\\\= (5x \times 5x)-(5x \times 11)-(5x \times 11)(11 \times 11)\\\\= 25x^2 - 55x - 55x + 121\\\\= 25x -110x +121\)

Hence, the product of the (5x-11)² is (25x²-110x+121).

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Answer:

S + 2.5S + (2.5S - 3.3)

Step-by-step explanation:

To get the perimeter of ANY shape, simply add up all the sides.

Answer:

its the 3rd Graph

Step-by-step explanation:

-1   15

0    18

1     20

2     21

Answer:

x=-2√3/3 it is a fraction

Step-by-step explanation:

2x2+5√3x+6=0

4+5√3x+6=0

10+5√3x=0

5√3x=-10 divide both sides

x=-2/√3 Rationalize

x=-2√3/3

The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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The largest possible number that, when rounded to the nearest hundred, gives a result of 9200 is 9249.

When rounding to the nearest hundred, we look at the digit in the tens place. If the digit is 5 or greater, we round up; if it is less than 5, we round down. In this case, since the number is rounded to 9200, the digit in the tens place must be 5 or greater. To find the largest possible number, we need to make the digit in the tens place as large as possible while keeping the rest of the digits the same. Therefore, the largest possible number is 9249.

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Answer:

The range of both \(f(x)\) and \(g(x)\) is all nonzero real numbers.

Step-by-step explanation:

The range of the function is the set of real number for \(y\). The rational function of the form \(y = \frac{a}{x}\), where \(a\) is a constant, has a range represented by the subset of nonzero real numbers. This is: \(Ran\{f(x)\} = \mathbb{R}-\{0\}\)

Hence, the correct answer is: The range of both \(f(x)\) and \(g(x)\) is all nonzero real numbers.

The correlation that demonstrates the weakest correlation between two variables is option a) +.20.

Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.

In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.

Let's analyze the options provided:

a) +.20:

This indicates a positive correlation, but the value is relatively small (0.20).

It suggests a weak positive relationship between the variables.

b) -50:

This option appears to be a typographical error since the correlation coefficient cannot be negative 50.

Assuming it is meant to be -0.50, this indicates a moderate negative correlation.

c) +.75:

This option represents a strong positive correlation.

With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.

d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.

Assuming it is meant to be -0.76, this indicates a strong negative correlation.

Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.

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Answer:

Equation is 7n-9, a10=61

Step-by-step explanation:

nth term of an arithmetic sequence with first term a and common difference d is a+(n-1)d

Here, a=-2 , d=7

nth term is -2+(n-1)7=7n-9

a10=7*10-9=70-9=61

Step-by-step explanation:

a/q first we have to find the measurement of third side

so,

h² = a² + b²

4² = a² + 2²

16 = a² + 4

a = 16 - 4 = 12

a² = 12

a = √12 = 3.46

so,

area of square = a × a

= 3.46 × 3.46 = 11.97 sq unit

hope this answer helps you dear...take care!

hello hello hello

Step-by-step explanation:

hi hi hi

Answer: 2 2/3 or 8/3

Step-by-step explanation:

3 5/6 = 23/6

-1 1/6 = -7/6

23/6-7/6

16/6

simplify

8/3

Answer:

2 \(\frac{2}{3}\)

Step-by-step explanation:

3 \(\frac{5}{6}\) can be written \(\frac{6}{6}\) + \(\frac{6}{6}\) + \(\frac{6}{6}\) + \(\frac{5}{6}\)  = \(\frac{23}{6}\)   ( \(\frac{6}{6}\) is the same one)

1 \(\frac{1}{6}\) can be written \(\frac{6}{6}\) + \(\frac{1}{6}\) = \(\frac{7}{6}\)

Adding a negative number is like subtracting a positive number.

\(\frac{23}{6}\) -  \(\frac{7 }{6}\)  =   \(\frac{16}{6}\)  6 goes into 16 2 times with 4 left over

2 \(\frac{4}{6}\)  Divide the top and bottom by 2 to get

2 \(\frac{2}{3}\)

Answer:

Step-by-step explanation:

Given

f(x)= 2x – 3 and g(x) = 3/2x + 1

f(0)= 2(0)-3

f(0) = -3

g(0) = 3/2(0)+1

g(0) = 0+1

g(0) = 1

Hence since -3 < 1, this means that f(0)<g(0)

Also;

f(8)= 2(8)-3

f(8) = 16-3

f(8) = 13

g(8) = 3/2(8)+1

g(8) =12+1

g(8) = 13

This shows that g(8) = g(8)

Hence g(8) = g(8)  is a true statement

The number of movies that will make the two options cost the same is 7

Let's call the number of movies n.

The two options will cost the same when 84 + 6n = 18n.

We can isolate n by subtracting 84 from both sides:

18n - 6n = 84

And then, we evaluate the like terms

12n = 84

Finally, dividing both sides by 12: we get

n = 7

So after 7 movies, the two options will cost the same.

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ΔBCA ≅ ΔBFA, to prove congruent of triangle missing Part in Proof is Equal Sides ( common side).

Common Side BA is the Missing Piece of the Proof.

The reasons given in the evidence are sufficient to demonstrate that 

ΔBCA Is Similar to ΔBFA

ΔBFA ≈ ΔBCA,

but not sufficiently to demonstrate that

ΔBCA is compatible with ΔBFA.

ΔBCA ≅ ΔBFA:

To demonstrate congruent triangles, we must demonstrate that the corresponding sides are likewise equal.

Consequently, we must demonstrate that

BA = BA (common side) in order for the proof to be complete.

Hence missing Part in Proof is Equal Sides ( common side)

Answer:

it is given

side BA

side BA

of ASA

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

As soon as you see a number times 1 thats how you can find your unit rate, or constant of proportionality.

So since we know that we are going by 32's, we would do 32 23 times, in other words, 32x23

And when you use a CALCULATOR or pencil and paper you get D, which is 736 stairs

Step-by-step explanation:

15×2.25

pounds sold = 33.75

Answer:

Using the two dots they have given us, we can figure out the rise/run

Rise is the vertical distance between the points and run is the horizontal distance between the points

Rise = 10

Run = 1

Rise / Run

10 / 1 = 10

The runners speed is 10mins per mile

Answer:

10

Step-by-step explanation:

Let,

Distance = 0.5 miles

Time = 5 minutes

Formula : -

Slope = Rise / Run

Speed

= 5 / 0.5

= 50 / 5

= 10 minutes per mile

Answer:

  (a)  $1049.15

Step-by-step explanation:

You want to know the interest earned by an account that pays 3.2% interest compounded semiannually if the balance is $6049.15 after 6 years.

The formula for the balance of an account earning compound interest is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

We have ...

  6049.15 = P(1 +0.032/2)^(2·6) = P(1.016^12)

The amount of interest earned is the difference between the account balance and the principal:

  interest = 6049.15 -(6049.15/1.016^12) ≈ 1049.15

The total amount of interest earned is $1049.15.

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The number of years that it will take for the Valence of the account to be $6500 = 6.9 years

Annual simple interest is defined as the amount of money that is being paid to an individual who invested a specific amount of money for a period of time.

The principal amount = $4000

The rate for earnings= 9%

The simple interest= $6500 - 4000 = 2500

Time = X

Using the formula:

Simple interest = P ×T×R/100

Make T the subject of formula;

T = Simple interest × 100/ P × R

T = 2500 × 100/ 4000× 9

T = 250000/36000

T = 6.9 years

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TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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