assume the world population will continue to grow exponentially with a growth constant (corresponding to a doubling time of about 52 years), it takes acre of land to supply food for one person, and there are 13,500,000 square miles of arable land in in the world. how long will it be before the world reaches the maximum population? note: there were 6.06 billion people in the year 2000 and 1 square mile is 640 acres.

When computing the area of a circle, the mathematical constant pi () is required. Pi is the circumference-to-diameter ratio of a circle and is approximately equal to 3.14159.

The area of a circle is calculated by multiplying pi by the radius squared (r2). To estimate the area of a circle, utilize pi in the calculation since it is a vital aspect of the relationship between the circumference and diameter of a circle.

Pi is not required when determining the area of a square, rectangle, or cube since the formulas for these shapes are different.

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The question is -

The mathematical constant pi is needed when calculating the area of a _.

a. circle

b. square

c. rectangle

d. cube

dont gggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

sorry but your image is not clear can you send a clearer one. thanks

Answer:

12th Customer

Step-by-step explanation:

We have to find the lcm (lowest common multiple) of the number.

We do that by taking their multiples. Watch down below

3 x 1 = 3                4 x 1 = 4

3 x 2 = 6               4 x 2 = 8

3 x 3 = 9               4 x 3 = 12

3 x 4 = 12

See how they both have a 12 as their first lcm.

So the 12th customer gets both items.

Glad to help!

Answer:

(2x+5y)(2x+3y)

=(2x)^2 + [5y+3y]2x + (5y)(3y)

=4x^2 +16xy + 15y^2

Step-by-step explanation:

Answer:60 3/4

Step-by-step explanation:you multiply 81/4 times 3 and get 243/4 so you divide 243 divided by 4 and the answer is 60 3/4

The equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1) is y = -5x-21.

Given data :

Here, given equation of line is y = -5x+6

Required line is parallel to this given line, so we can say that the slope is same for the lines.

General equation of a line be y = mx+c ,  where m is the slope

Comparing given equation with this equation we get,

m = -5

The required line also passes through the point (-4, -1)

Now, we know that,

m = (y2-y1)/(x2-x1).

⇒ -5 = (-1 - Y ) / ( -4 - x )

⇒ -5 = y + 1 / x + 1

⇒ y+1 = -5x-20

⇒ y = -5x-21

Hence the equation proved.

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The volume of the right cylinder is 1017.88 m² = 324π m²

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The properties of cylinder are :

It features two flat circular faces, two curved edges, and one curved surface.

The two circular flat bases are parallel to one another.

There isn't a vertex on it.

The radius of a circular base and the height of a cylinder determine its size.

The radius of the cylinder = 6 m

Height = 9 m

The volume of the right cylinder is π(radius)²height

= π * 6² * 9 = 1017.88 m² = 324π m²

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The 7 in diameter and volume of the cone which is equivalent to the volume of the cylinder indicates that the area, and therefore the cost of the cone is more expensive than the cost of the cylinder.

The cost of manufacture of the cylinder or cone = The cost per square inch × The surface area of the cylinder or cone

The specified dimensions of the cylinder are;

Radius = 3 inches

Height = 7 inches

The dimensions of the cone are;

Diameter = 7 inches

Volume of cone = Volume of the cylinder

Therefore;

Base radius of the cone = 7 inches ÷ 2 = 3.5 inches

Volume of the cone  = (1/3) × π × 3.5² × h

Volume of the cylinder = π × 3² × 7

Therefore;

(1/3) × π × 3.5² × h = π × 3² × 7

h = (π × 3² × 7)/((1/3) × π × 3.5²) = 54/3.5

h = 108/7 = 15 3/7

h = 15 3/7

Surface area of the cylinder, A\(_{cyl}\) = π × 3² + 2 × π × 3 × 7

π = 3.14

A\(_{cyl}\) = 3.14 × 3² + 2 × 3.14 × 3 × 7 = 160.14

Surface area of the cone, Ac = π·r × (l + r)

Where;

l = The slant height of the cone

l = √(3.5² + (108/7)²)

Ac = 3.14 × 3.5 × (√(3.5² + (108/7)²) + 3.5) = 222.3

The area of the cylinder is about 160.14 square inches, and the area of the cone is about 222.3 square inches

The cost of the popcorn container = $0.002 per square inch

The area of the cone is more than the area of the cylinder, therefore, the cost of producing the cone is more than the cost of producing the cylinder, and it is more expensive to produce the cone.

Therefore, it is more expensive to produce the cone in part A.

Part of the question, obtained from a similar question posted online includes;

Dimensions of the cylinder;

Base radius = 3 inches

Height = 7 inches

Dimensions of the cone;

Base diameter = 7 inches

Volume = Volume of the cone

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The change-of-coordinates matrix from c to b is:

Q = [−2/5 3/5; 4/5 4/5]

To express the basis vectors of c in terms of the basis vectors of b.

This can be done by solving the equation [c1, c2] = [b1, b2]P, where P is the change-of-coordinates matrix from b to c.

We can write out the equation in components as follows:

1 3 = -3x + 2y

4 4 -4x + 3y

Solving this system of equations, we get x = -4/5 and y = 3/5. Therefore, the change-of-coordinates matrix from b to c is:

P = [−4/5 3/5; 2/5 1/5]

To find the change-of-coordinates matrix from c to b, we need to express the basis vectors of b in terms of the basis vectors of c.

This can be done by solving the equation [b1, b2] = [c1, c2]Q, where Q is the change-of-coordinates matrix from c to b.

We can write out the equation in components as follows:

-3 2 = 1x + 3y

-4 3 4x + 4y

Solving this system of equations, we get x = -2/5 and y = 3/5. Therefore, the change-of-coordinates matrix from c to b is:

Q = [−2/5 3/5; 4/5 4/5]

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

Any real number.

Step-by-step explanation:

I dunno what you're asking, but Im assuming you need what a equals to.

\(a+5(2a-1)+3=11a-2\\a+10a-5+3=11a-2\\11a-2=11a-2\\\)

The answer is any real number.

Answer:

M = -3

4(10m + 30)/5 = -3(m+3)

4x10(m+3)/5 = -3(m+3)

40(m+3)

​​ =−3(m+3)

8(m+3)=−3(m+3)

8m+24=−3m−9

8m+24+3m=−9

11m+24=−9

11m=−9−24

11m=−33

m=−

​11

​

​33

​​

m=−3

Hope I helped

The proper conclusion when a test of independence produces a chi-square statistic (\(\chi^2\)) that allows the null hypothesis to be rejected is that there is evidence of a relationship between the variables being studied.

In statistical hypothesis testing, the chi-square test of independence is used to determine whether there is a significant association between two categorical variables.

The null hypothesis assumes that there is no relationship between the variables, while the alternative hypothesis suggests that there is a relationship.

When the test of independence yields a chi-square statistic that is large enough to reject the null hypothesis, it means that the observed data provides evidence against the assumption of independence.

In other words, the results suggest that there is a relationship between the variables being studied.

The rejection of the null hypothesis does not provide information about the nature or strength of the relationship.

It simply indicates that the observed data is unlikely to occur if the variables were truly independent.

Therefore, the proper conclusion in this case is that there is evidence of a relationship between color preference and the number of siblings based on the results of the test of independence.

Further analysis may be needed to explore the nature and significance of this relationship.

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Answer: c. always

Step-by-step explanation:edmentum

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

The answer is B.

Step-by-step explanation:

When you reflect (2,5) over the x axis, you get (2,-5).

Answer:

dyttcj

Step-by-step explanation:

Answer:

  D.  a[1] = 12; a[n] = 33·a[n-1]

Step-by-step explanation:

You can make the correct choice by seeing what you get with n=1 and n=2 in the various expressions.

In general,

  an = a1·r^(n-1)

For n=1, the value of this is ...

  a1 = a1·r^(1-1) = a1·r^0 = a1 . . . . as you expect.

That is, the a1 term of the recursive formula is the leading coefficient in the explicit formula.

__

For n=2, you have ...

  a2 = a1·r(2-1) = a1·r

That is, the previous term was multiplied by r. In the given explicit formula, r=33, so the recursive formula will tell you ...

  a[n] = 33·a[n-1]

__

Altogether, we have ...

  \(\boxed{a_1=12,\ a_n=33a_{n-1}}\)

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

Step-by-step explanation:

To subtract fractions, we must check if the denominators of both fractions are the same.

Now, let's subtract for the result.

Hence, Option B is correct.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

9/35

LCM of 7 and 5 = 35

Step-by-step explanation:

\(\frac{2}{5} -\frac{1}{7} \\\\\frac{2*7}{5*7} -\frac{1*5}{7*5} \\\\\frac{14}{35} - \frac{5}{35}\\\\\\\frac{14-5}{35} \\\\\frac{9}{35}\)

Using angle sum property we found that ∠ x = 113°, ∠y = 67°  and ∠z = 49°

The angle sum property of triangle states that the sum of all the interior angles of a triangle is 180°.

If ΔABC is a triangle then,

m ∠A + m ∠B + m ∠C = 180°

Given from the figure in the question that 28°, 39° and x° are interior angles of a triangle, then using angle sum property:

28° + 39° + x° = 180°

⇒ 67° + x° = 180°

⇒ x° = 180° - 67° = 113°

∠x and ∠y are on the same line same point therefore their sum will be 180°

⇒ x° + y° = 180°

⇒ 113° + y° = 180°

⇒ y° = 180° - 113° = 67°

Also an exterior angle of a triangle is equal to sum of interior opposite angles.

∴ y ° = 28° + 39° = 67°

Now, 64° , y° and z° are interior angles of same triangle from the figure in the question.

∴ Using angle sum property,

64° + y° + z° = 180°

⇒ y ° + z° = 180° - 64° = 116°

⇒ y° + z° = 116°

⇒ z° = 116° - y° = 116° - 67°  = 49°

Therefore ∠x, ∠y , ∠z are 113° , 67° and 49° respectively

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Answer:

Step-by-step explanation:

To find the slope, you need to find the y-intercept first (or the place the line crosses over the y-line). After you've found the y-intercept (-1), you need to find the next point that the line crosses. This line has a positive slope, so you'll want to look for the next point towards the right. The next point was 1 up and 2 over.

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

Answer:

Real numbers include both Rational and Irrational number sets.

Rational and Irrational numbers sets are independent from each other.

See the diagram attached.

Answer:

Hey there! The answer to your question is 30%

Step-by-step explanation:

Work:

50%+20%=70

Than you do 100-70 and the answer would be 30%

so picking a purple marble Is likely to occur.

= 30%

Hope that helps!

By: xBrainly

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

If each person receives the same amount, each person at Hugo's party will get 0.5 cups, or 1/2 cup, of fruit sorbet.

To determine how many cups of fruit sorbet each person will get, we need to convert the volume of the sorbet from gallons to cups, and then divide by the number of people who will be served.

Since 1 gallon is equal to 16 cups, we can multiply the number of gallons by 16 to get the total number of cups of sorbet. In this case, 1 gallon x 16 cups/gallon = 16 cups of fruit sorbet.

To find out how many cups of sorbet each person will get, we simply divide the total number of cups by the number of people. In this case, 16 cups ÷ 32 people = 0.5 cups/person.

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