In 2010 the continent of South America had a population of 395,280,204. Which of the following is the closest estimate of this number
Round to the nearest power of 10
3 x10^8
4×10^7
4x10^8
4x10^9

Answer:

1.0 x \(10^{6}\)

Step-by-step explanation:

Answer:

1.0*10^-6!!!

Step-by-step explanation:

Step-by-step explanation:

x = number of true/false questions

y = number of multiple choice questions

x + y = 40

2x + 3y = 144

from the first equation we get

x = -y + 40

this identity we can then use in the second equation

2(-y + 40) + 3y = 144

-2y + 80 + 3y = 144

y + 80 = 144

y = 64

and

x + 64 = 40

x = -24

that does not make any sense.

something is wrong with the problem description.

just think about it :

40 questions - if all of them would be multiple choice tests (creating the max. possible points for 40 questions), we could have only 40×3 = 120 points.

but the description says 144 points.

for 144 points we need at least 48 (144/3) questions.

that does not fit.

the described system does not have any natural number solution. therefore we are getting such crazy numbers as result, when we try.

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

Answer: The answer is B

Step-by-step explanation:

A is arranged 3, 12, 0, -0.20, -2.5

If its least to greatest A is not correct because 3 is greater than -2.5

B is arranged -2.5, -0.20, 0, 3, 12

This seems like the correct arrangement but we will still check all the answers

C is arranged 3, 12, -0.20, 0, -2.5

This cannot be correct because 3 is greater than -2.5

D is arranged -2.5, 3, 12, -0.2, 0

This is not right because 3 is greater than 0

So B has to be the right answer

Answer:

B

Step-by-step explanation:

Its got to B as -2.5 > -0.20 > 0 > 3 > 12 and none of the others are close

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!

Answer:

it’s B

Step-by-step explanation:

The correct answer is (B)

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function \(^{14}\sum_{n=1}\)n²(n+3)

As, the options given have start the range of summation from n=1.

So, if the range start from n=1 to 14 then the range value from n=1 to 7 should be subtracted from the same function.

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Solution

For this case we have the following, the sum of the angles needs to be 360 since we have a circumference:

10a-4 +6a-2 +8a+6=360

Regrouping we have:

10a +6a +8a -4 -2 +6= 360

24a= 360

a= 360/24= 15

Answer:

Your answer 3.141416141

Step-by-step explanation:

Tell me if im wrong

Answer:

3 as a whole number and (12856/90909) as a fraction

Mrs. Green can serve a total of six different combinations of two vegetables from the given options.

To find out, we can use the combination formula: \(nCr = n! / (r! * (n-r)!)\)

where n is the total number of items to choose from, and r is the number of items to choose. In this case, n = 4 (carrots, peas, okra, and green beans) and r = 2 (the number of vegetables to be served).

Therefore, the formula becomes: 4C2 = 4! / (2! * (4-2)!)

= (4 * 3 * 2 * 1) / [(2 * 1) * (2 * 1)]

= 6

Mrs. Green can serve six different sets of two vegetables with dinner. These are: carrots and peas, carrots and okra, carrots and green beans, peas and okra, peas and green beans, and okra and green beans.

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The possible key design is 262144.

Algebra is a branch of mathematics that uses mathematical expressions to aid in the representation of problems or situations. In algebra, we use numbers with definite or fixed values, such as 2, -1, 0.5, and so on. In algebra, variables such as x, y, and z are used in addition to numbers.

Given that keys for antique cars had nine parts, with four patterns for each part

We have to determine how many different key designs are possible for these cars

Number of designs possible

= 4x4x4x4x4x4x4x4x4

= 4^9

= 262144

Therefore the possible key design is 262144

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Given that demand for apples each period follows a normal distribution with a mean of 290 and a standard deviation of 70.

The standard deviation of demand over two periods is the square root of the sum of variances of each period. Since the variance is the square of the standard deviation, the formula for variance over two periods is$$
\begin{aligned}
\operatorname{Var}(2T) &= \operatorname{Var}(T) + \operatorname{Var}(T) \\
&= 2 \operatorname{Var}(T)
\end{aligned}
$$where T is the demand for apples in one period. Here, the standard deviation of demand for apples in one period is σ = 70. Therefore, the standard deviation of demand over two periods is given by$$
\begin{aligned}
\operatorname{SD}(2T) &= \sqrt{2\operatorname{Var}(T)} \\
&= \sqrt{2}\sigma \\
&= \sqrt{2} \times 70 \\
&= \boxed{98.99} \approx 99 \text{ (rounded to two decimal places)}
\end{aligned}
$$Therefore, the standard deviation of demand over two periods is approximately 99.

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The correct answer of the given question that  standard deviation of demand for two periods is 99.00.

Given data:

The mean of the demand for apples is 290, and the standard deviation is 70.

The formula for standard deviation of a sample is:

SD = sqrt[(sum of (Xi - Xbar)^2) / (n - 1)]

where Xi is the individual data value, Xbar is the mean of the sample, and n is the sample size.

Since we don't have the data for the demand in each period, we cannot calculate the standard deviation of the demand for two periods directly.

However, since the standard deviation is a measure of how much the individual data points deviate from the mean, we can use the following formula to calculate the standard deviation of the demand for two periods:

SD2 = sqrt(2) * SD

where SD is the standard deviation of demand for one period.

So,SD2 = sqrt(2) * 70 = 99.00 (rounded to two decimal places)

Hence, the standard deviation of demand for two periods is 99.00.

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Answer:

the answer is \(\frac{25}{15}\\\) Hope this helps :}

Step-by-step explanation:

Here are 2 bowls. One of them has 25 gems and the other has 15 gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

Answer:

for 0.4x – 3y = 7

Step-by-step explanation:

The answer is Changes made to your input should not affect the solution:

(1): "0.4" was replaced by "(4/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (4/10)*x-3*y-(7)=0

STEP

1

:

           2

Simplify   —

           5

Equation at the end of step

1

:

   2                

 ((— • x) -  3y) -  7  = 0

   5                

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         3y     3y • 5

   3y =  ——  =  ——————

         1        5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x - (3y • 5)     2x - 15y

—————————————  =  ————————

      5              5    

Equation at the end of step

2

:

 (2x - 15y)    

 —————————— -  7  = 0

     5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        7     7 • 5

   7 =  —  =  —————

        1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2x-15y) - (7 • 5)     2x - 15y - 35

——————————————————  =  —————————————

        5                    5      

Equation at the end of step

3

:

 2x - 15y - 35

 —————————————  = 0

       5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2x-15y-35

 ————————— • 5 = 0 • 5

     5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2x-15y-35  = 0

Equation of a Straight Line

4.2     Solve   2x-15y-35  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-15y-35  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333

 y-intercept = 35/-15 = 7/-3  = -2.33333

Calculate the X-Intercept :

When y = 0 the value of x is 35/2 Our line therefore "cuts" the x axis at x=17.50000

 x-intercept = 35/2  = 17.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.333 and for x=2.000, the value of y is -2.067. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.067 - (-2.333) = 0.267 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.267/2.000 =  0.133

Geometric figure: Straight Line

 Slope = 0.267/2.000 = 0.133

 x-intercept = 35/2 = 17.50000

 y-intercept = 35/-15 = 7/-3 = -2.33333

Answer:

Step-by-step explanation:

Hence, the expression is 46k - 32.

Hi!

First, let's distribute -8:

-8(-5k+4)+6k

\(\rm{40k-32+6k\)

Combine Like Terms:

\(\rm{46k-32\) (Answer)

Hope it helps!

~Misty~

When you develop an argument with a major premise, a minor premise, and a conclusion, you are using deductive reasoning. When constructing an argument using deductive reasoning, three components are involved: a major premise, a minor premise, and a conclusion.

Deductive reasoning is a logical process where the conclusion is derived from the major and minor premises. The major premise is a general statement or principle that establishes a broad context or rule.

The minor premise is a specific statement or evidence that relates to the major premise. Finally, the conclusion is the logical inference or outcome that follows from the combination of the major and minor premises.

Deductive reasoning allows for the logical progression from general principles to specific conclusions, making it a valuable tool in fields such as mathematics, logic, and philosophy.

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The rate of flow outward through the slant surface of the tetrahedron is 18e z + 9.

The rate of flow outward through the slant surface of the tetrahedron can be found using the divergence theorem. The divergence theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the volume enclosed by the surface. In this case, we can use the divergence theorem to find the rate of flow without evaluating any integrals.
To begin, let's calculate the divergence of the given vector field ⟨ x e z , − y e z , z ⟩. The divergence of a vector field in three dimensions is defined as the sum of the partial derivatives of each component with respect to its corresponding variable. In this case, the divergence of the vector field is:
div(⟨ x e z , − y e z , z ⟩) = ∂/∂x (x e z) + ∂/∂y (-y e z) + ∂/∂z (z)
= e z + e z + 1
= 2e z + 1
Now, since the tetrahedron has only one face that is not parallel to any of the coordinate planes, we can consider this face as our closed surface. The outward flux through this surface is equal to the volume integral of the divergence of the vector field over the volume enclosed by the surface.
Since the vertices of the tetrahedron are at the origin and (3,0,0), (0,3,0), and (0,0,3), we can see that the tetrahedron is a regular tetrahedron with side length 3.
Therefore, the volume of the tetrahedron is (1/3) * (base area) * (height) = (1/3) * (3 * 3) * 3 = 9.
Now, the rate of flow outward through the slant surface can be calculated as the volume integral of the divergence of the vector field over the volume enclosed by the surface:
Rate of flow = (2e z + 1) * (volume of tetrahedron)
= (2e z + 1) * 9
= 18e z + 9
So, the rate of flow outward through the slant surface of the tetrahedron is 18e z + 9.

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Answer:

Step-by-step explanation:

x² = 8² + 1²

x² = 64 + 1

x² = 65

x = √65

or

x = 8.06

Answer:

x = -1/2

Step-by-step explanation:

First, subtract 2 from both sides to get 7/x alone. Then muliply both sides by x to get rid of 7/x's denominator. Divide both sides by -14 to get rid of x's coefficient and to get x alone. You will then get -1/2 as your answer.

2 + 7/x = -12

-2             -2

7/x = -14

*x       *x

7 = -14x

÷-14    ÷-14

- 1/2 =x

x = -1/2

Answer: x= 2, y= 5

Step-by-step explanation:

The function f(x) = √(x - 3) is continuous for all values of x greater than or equal to 3. In interval notation, we can express this as [3, ∞).

To understand why f(x) is continuous on this interval, we need to consider the properties of the square root function and the conditions for continuity.

The square root function is defined for non-negative real numbers. In this case, the argument of the square root, (x - 3), must be greater than or equal to zero for the function to be defined. Since x is greater than or equal to 3 in the interval [3, ∞), the argument is always non-negative, and therefore, the function is well-defined.

In addition, for a function to be continuous at a specific point, it must satisfy three conditions: the function must be defined at that point, the limit of the function as x approaches that point must exist, and the limit must be equal to the value of the function at that point.

In the case of f(x) = √(x - 3), the function is defined for all x greater than or equal to 3, so the first condition is met. The limit of the function as x approaches any point in the interval [3, ∞) also exists, and it is equal to the value of the function at that point. Therefore, f(x) is continuous on the interval [3, ∞).

In summary, the function f(x) = √(x - 3) is continuous for all values of x greater than or equal to 3, as expressed by the interval [3, ∞).

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The distribution in which variable x has binomial distribution are as follow,

Option A) When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

Option D) When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

This variable X follows a binomial distribution .

Because there are two independent trials two patients.

With a constant probability of success 30%.

And the outcome of one trial doesn't affect the outcome of the other.

When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.

This variable X does not follow a binomial distribution.

Because the probability of success is not constant it's the complement of 30%, which is 70%.

Also, the outcome of one trial affects the outcome of the other trials.

As there are only six patients .

Number of patients for whom medicine does not work depends on number of patients for whom it worked.

When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

This variable X follows a binomial distribution.

Because there are six independent trials six patients with a constant probability of success (30%) .

The outcome of one trial doesn't affect the outcome of the other.

When the medicine is tried with two patients, X is the number of doses each patient needs to take.

This variable X does not follow a binomial distribution.

Because it's not a count of successes out of a fixed number of independent trials.

But rather a continuous variable that can take any non-negative value.

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The above question is incomplete, the complete question is:

For a certain type of hay fever, Medicine H has a 30% probability of working.

In which distributions does the variable X have a binomial distribution?

Select EACH correct answer.

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

B. When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

D. When the medicine is tried with two patients, X is the number of doses each patient needs to take.

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

Step-by-step explanation:

First is

5(1-1)+10= 5×0+10= 0+10 = 10

2nd is

5(2-1)+10=5× 1+10= 5+10=15

3rd= 5(3-1)+10= 5×2+10=10+10=20

4th=5(4-1)+10=5×3+10=15+10=25

I hope it will be helpful for you.

Answer:

3596

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

3596

Step-by-step explanation:

(58*10) = 580

580*6 = 3480

58 * 2 = 116

3480 + 116 = 3596

The time the soccer ball spends in the air before hitting the roof of the other building is approximately t_flight seconds.

To solve the problem, we can analyze the motion of the ball in the vertical direction. Since we neglect air resistance, the only force acting on the ball in the vertical direction is gravity. The motion follows a projectile trajectory, and we can use the equations of motion to find the time of flight.

Given:

Initial speed (v0) = 15.7 m/s

Launch angle (θ) = 72.0 degrees

Height of first building (H1) = 27.1 m

Height of second building (H2) = 11.9 m

To find the time of flight, we need to analyze the vertical motion of the ball. The time it takes for the ball to hit the roof of the second building is equal to the time it takes for the ball to reach its maximum height and then fall to the height of the second building.

First, we can find the time it takes for the ball to reach its maximum height using the vertical component of the initial velocity:

v0y = v0 * sin(θ)

Using the equation for vertical displacement, we have:

Δy = H1 - H2

Since the ball reaches its maximum height when its vertical velocity becomes zero, we can find the time it takes to reach the maximum height using the equation:

vfy = v0y - g * t

0 = v0y - g * t_max

Solving for t_max, we get:

t_max = v0y / g

Next, we can find the total time of flight by doubling the time it takes to reach the maximum height:

t_flight = 2 * t_max

Substituting the values and using the acceleration due to gravity (g ≈ 9.8 m/s^2), we can calculate the time of flight.

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Answer:

13

Step-by-step explanation:

3x-5=y+12+5y-4

Answer:

X-2 And X+10

Step-by-step explanation:

That would be the answer for the problem.

Answer:

Step-by-step explanation: