Find the population density of domesticated dogs if there are 43,600,000 dogs in the United States and the area of the United States is 3,794,083 square miles. Round to the nearest 10th

Answer:

[tex]\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }[/tex]

Step-by-step explanation:

fog(x)=f(g(x))

so it comes

[tex]f(g(x))=f(x+1)=4(x+1)^2[/tex]

so C is the correct answer

Answer:

Option B

Step-by-step explanation:

[tex]f(x) = 4x^2\\g(x) = x+1[/tex]

Multiplying both will give us:

[tex](fg)(x) = 4x^2(x+1)[/tex]

=> [tex](fg)(x) = 4x^3+4x^2[/tex]

Answer:

D

Step-by-step explanation:

The equations are similar and so if we compute the vertex we would see they are the same..

Let's try computing the maximum or minimum point of y= -3(x+2)^2 - 4 and y= 3(x+2)^2 - 4 ;

For y= 3(x+2)^2 - 4 ;

to compute the maximum or minimum point we find dy/dx of the expression equating it to 0; the value of x is determined and we substitute to the original expression for y.

If y is -ve we know it's a minimum graph and if y is +be it's a maximum graph.

From the foregoing;

For y= 3(x+2)^2 - 4 ;

dy/dx = 2× 3 ( x+2) ×1 = 6(x+2) = 6x + 12= 0

6x= -12=>x= -12/6= -2;

We substitute x= -2 in y =3(x+2)^2 - 4; y = 3(-2+2)^2-4 = -4

Since y = -4 is a hence y= 3(x+2)^2 - 4 is a minimum graph.

For y= -3(x+2)^2 - 4 ;

dy/dx = 2× -3 ( x+2) ×1 = -6(x+2) = -6x - 12= 0

-6x= 12=>x= -12/6= -2;

Substituting in the y= -3(x+2)^2 - 4 ;

We have;

We substitute x= -2 in y =-3(x+2)^2 - 4; y = -3(-2+2)^2-4 = -4

y= -4 ;

Since both graphs look like they are minimum that is the vertex is y= -4;

Let's explore a further step

The derivative of the previous derivative;

For y= 3(x+2)^2 - 4;

We means d/dy × [dx/dy] = d/dy [ 6x + 12 ] = 6

Hence y= 3(x+2)^2 - 4 is a maximum graph;

Similarly for y= -3(x+2)^2 - 4 ;

d/dy × [dx/dy]

d/dy [-6x-12 ] = -6

Hence y= -3(x+2)^2 - 4 is a minimum graph;

Conclusion: y= 3(x+2)^2 - 4 is a maximum graph and y= -3(x+2)^2 - 4 is a minimum graph;

Answer:

16 cubic feet per hour

Step-by-step explanation:

We want to convert from cubic inch per minute to cubic feet per hour,

We can use the standard conversion rate:

1 cubic inch per minute = 0.0347222 cubic feet per hour

=> 462 cubic inch per minute = 462 * 0.0347222 = 16.04 cubic feet per hour

Approximating to whole number, it is 16 cubic feet per hour.

Answer:  Option  16 cubic feet

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Given

[tex]F(x)=2x+4[/tex]

[tex]R(x)=x[/tex]

We need to find [tex]R(F(x))[/tex] at [tex]x=0[/tex]

[tex]R(F(x))=[2x+4][/tex]

[tex]R(F(x))=2x+4[/tex]

[tex]R(F(0))=2\times 1+4=4[/tex]

[tex]R(F(0))=4[/tex]

Answer:

-19

Step-by-step explanation:

2*(-2)+3(-5)=-4+(-15)= -19

Answer:

{4*[6+(18-7)] } ÷1/3

{4*[6+18+7] }÷1/3

{24+72+28}÷1/3

{124}÷1/3

124*3/1

372/1=372

Answer:

[tex] A(t) = 906 e^{0.012t}[/tex]

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:

[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Step-by-step explanation:

We know that the population can be represented with this formula:

[tex] A(t) = 906 e^{0.012t}[/tex]

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:

[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Answer:

325 mph and 420 mph

Step-by-step explanation:

If the speed of the slower plane is x, then the speed of the faster plane is x + 95.

The distance traveled by the slower plane is 3x.

The distance traveled by the faster plane is 3(x + 95).

The total distance is 2235 miles.

3x + 3(x + 95) = 2235

3x + 3x + 285 = 2235

6x = 1950

x = 325

x + 95 = 420

The speed of the planes is 325 mph and 420 mph.

Answer:

  c, d.  see attached

  e. about 2.96 miles; about $1.63 million

Step-by-step explanation:

e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:

  A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles

  B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles

The difference in distance is ...

  (BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles

The mall is about 2.96 miles farther from point B than from point A.

The additional cost is the difference in miles multiplied by the cost per mile:

  (2.96 mi)($0.550 M/mi) = $1.63 M

The additional cost of the longer road is about $1.63 million.

Answer:

0.3950

Step-by-step explanation:

Any team team will win the championship with probability 63% that is

P(W)=0.63

when teams win the championship, they win the first game of the series 72% of the time that is

P(F|W)=0.72

When they lose the championship, they win the first game 27% of the time.

P(F|W')=0.27

The probability that they will win the World Series when the first game is over and your team has lost that is

P(W|F')

Now, By Bayes theorem

[tex]\begin{array}{l}

P\left(W | F^{\prime}\right)=\frac{P\left(F^{\prime} | W\right) P(W)}{P\left(F^{\prime} | W\right) P(W)+P\left(F^{\prime} | W^{\prime}\right) P\left(W^{\prime}\right)} \\

\quad=\frac{[1-P(F | W)] P(W)}{[1-P(F | W)] P(W)+\left[1-P\left(F | W^{\prime}\right)\right][1-P(W)]} \\

\quad=\frac{[1-0.72] \times 0.63}{[1-0.72] \times 0.63+[1-0.27][1-0.63]} \\

\quad=\frac{0.28\times 0.63}{0.28\times 0.63+0.73 \times 0.37} \\

=0.3950\end{array}[/tex]

Answer:

The mass of wood is 4309.65 kg.

Step-by-step explanation:

Volume of a cylinder is:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of base of cylinder

and [tex]h[/tex] is the height of the cylinder

[tex]r=\dfrac{d}{2}[/tex]

[tex]d[/tex] is the diameter of base of cylinder.

A tree's trunk is in the shape of cylinder only. And we are given the following details:

[tex]d = 0.5m\\\Rightarrow r = \dfrac{0.5}{2} m[/tex]

[tex]h =36 m[/tex]

[tex]V = \pi (\dfrac{0.5}{2})^2 \times 36\\\Rightarrow V = 7.065\ m^3[/tex]

Density of wood of tree = 610 kg per cubic meter

Mass of trunk = Volume [tex]\times[/tex] density

[tex]\Rightarrow 610 \times 7.065\\\Rightarrow 4309.65\ kg[/tex]

Hence, mass of trunk is 4309.65 kg.

Answer:

Combination 25 to 12

Step-by-step explanation:

[tex]C^{12} _{25}[/tex]

The expression 25! / [(25 - 12)! x 12!] represents the combination.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Let a be the number of items selected from the group of n.

We know that the combination is given by,

ⁿCₐ = n! / [(n - a)! x a!]

The expression is given below.

⇒ 25! / [(25 - 12)! x 12!]

Then the expression can be written as,

⇒ ²⁵C₁₂

Then the expression 25! / [(25 - 12)! x 12!] represents the combination.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

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Answer:

4x+8 or 4 (x) + 4 (2)

Step-by-step explanation:

Hope it helps.

Answer:

B

Step-by-step explanation:

4(x+2).

By expanding the expression we have;

4(x+2) = 4× x + 4× 2 = 4(x) + 4(2)

Answer:

scale

Step-by-step explanation:

scales are used to measure weight

The tool that Caroline can use to Measure the mass of a dictionary is; Pan Balance.

When discussing measurements, there are different tools and equipment's that can be used such as  Ruler, Pan balance, Stopwatch, Liter container.

Now, the tools above can be used for measuring different things but our question wants the one that would be used to measure the mass of a dictionary and the correct tool is a Pan Balance.

Read more about Tools of Measurement at; https://brainly.com/question/17562905

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Answer:

h(n+1) = -⅓ h(n), h(0) = 63

Step-by-step explanation:

h(n) = 63 (-⅓)ⁿ

This is a geometric series where the first term is 63 and the common ratio is -⅓.

Therefore, each term is -⅓ of the previous term.

h(n+1) = -⅓ h(n), h(0) = 63.

Answer:

About 75 in²; Aubrey found the surface area of the cone and included the base.

Complete question:

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.Cone with diameter six inches and slant height eight inches.What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.

Step-by-step explanation:

Lateral surface area of a cone = Paper required to for each hat

Lateral surface area = πrl

where, r is radius of the cone and l is lateral height of the cone

Lateral surface area = π(3)(8)

                                = 75.36 square inches

                                ≈ 75 square inches

Therefore, total paper required for each cap is about 75 square inches.

Total surface area of the cone (Lateral area + Area of the base)

                                 = πr(r + l)

                                 = 3.14(3)(3 + 8)

                                 = 103.62

                                 ≈ 104 square inches.

Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.

Answer:

~75 in

Step-by-step explanation:

Answer:

[tex] V =\frac{1}{3} \pi r^2 h[/tex]

And replacing we got:

[tex] V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3[/tex]

And the best option would be:

65.42 Inches cubed

Step-by-step explanation:

For this case we have the following info given:

[tex] h =2.5 in[/tex] represent the height of the cone

[tex] r = 5 in[/tex] represent the radius

And the volume of the cone is given by;

[tex] V =\frac{1}{3} \pi r^2 h[/tex]

And replacing we got:

[tex] V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3[/tex]

And the best option would be:

65.42 Inches cubed

Answer:

32.71 Inches cubed

Step-by-step explanation:

Let's recall the volume of the cone to be = 1/3πr³h

So using the formula.

r= 5

h = 2.5

I = 3.14

Volume = 1/3 * 3.14 * 5³ * 2.5

Volume = 327.1 in³

Answer:

57.45% increase

Step-by-step explanation:

The formula for percent change is (new - old)/new x 100.

The new value is $282 and the old value is $120.

Plug that into the formula:

(282 - 120)/282 x 100

= 57.45%

I hope this helped!

Answer:

x=0 or x=3 or x= -3⅘

Step-by-step explanation:

Please see attached picture for full solution.

Another way to solve it is to factorise x out from the equation from the beginning. This would leave you with

x(5x² +4x -57x)=0

Then you can factorise the quadratic equation.

x(x -3)(5x +19)= 0

And solve it just like we did above.

x=0 or x-3=0 or 5x+19=0

x=3 or 5x= -19

x= -3⅘

In the picture, I used synthetic division but long division works too!

Answer:

6 cm^2

Solution,

Volume of cube=1 cm^3

Volume of cube=l^3

or,1=(l)^3

or,l=1*1*1

length=2 cm

Again,

Surface area of cube= 6(a)^2

=6*(1)^2

=6*1

=6 cm^2

hope it helps

Good luck on your assignment

1 meter = 1000mm

Convert the dimensions to mm:

1.5 x 1000 = 1500 mm

1.2 x1000 = 1200 mm

Area = length x width

Area = 1500 x 1200 = 1,800,000 square mm

Answer:

[tex] 3.45 \times {10}^{11} [/tex]

Step-by-step Explanation:

[tex]345,000,000,000 = 3.45 \times {10}^{11} \\ [/tex]

Answer:

A,B,D,F

Step-by-step explanation:

The angle measures that are true are:

m∠1 = 60

m∠13 = 80

m∠5 = 60

m∠14 = 100

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

m∠3 = 120

m∠12 = 80

Now,

1)

m∠1 = 60 (true)

m∠1 + m∠3 = 180

So,

m∠1 = 180 - 120 = 60

2)

m∠13 = 80 (true)

m∠12 and m∠13 are alternate angles.

So,

m∠13 = 80

3)

m∠6 = 80 ( false)

m∠6 and m∠3 are alternate angles.

So,

m∠6 = 120

4)

m∠5 = 60 (true)

m∠5 + m∠3 = 180

m∠5 = 180 - 120 = 60

5)

m∠10= 120 (false)

m∠10 + m∠12 = 180

m∠10 = 180 - 80 = 100

6)

m∠14 = 100 (true)

m∠14 + m∠12  = 180

m∠12 = 180 - 80 = 100

Thus,

The angle measures that are true are:

m∠1 = 60

m∠13 = 80

m∠5 = 60

m∠14 = 100

Learn more about corresponding angles here:

https://brainly.com/question/1597341

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Answer:

68.11% probability that the firm involved is firm B

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Cost overrun

Event B: Agency B used.

A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15.

This means that [tex]P(B) = 0.45[/tex]

From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively.

This means that [tex]P(A|B) = 0.14[/tex]

Probability of cost overrun.

Firm A is used 40% of the time, with 1% of these having cost overrun. B is used 45%, with 14% of these having cost overruns. C is used 15% of the time, with 17% of these having cost overruns.

So

[tex]P(A) = 0.4*0.01 + 0.45*0.14 + 0.15*0.17 = 0.0925[/tex]

What is the probability that the firm involved is firm B

[tex]P(B|A) = \frac{0.45*0.14}{0.0925} = 0.6811[/tex]

68.11% probability that the firm involved is firm B

Answer:

A. 19 years old

Step-by-step explanation:

A  person at the age of 19 is probably still in college . He/She is probably investing more time and finance in his/her education. A person at age 19 is still building his or her career . He/she is  likely to have limited working experience. He/she has more years ahead of him to invest his little income(that is if he has any) for a longer term plan like owning a house and building a business.  

In fact at age 19 a person is more concern in his/her career development and studies. Buying a house is most likely a long time goal for a person of 19 years old because he has so many year ahead of him to gather or create wealth for himself.

The other ages 59, 79 and 69 years are individuals who have probably amassed wealth . They probably have over 3 decades of working experience and this working years will reflect in their savings. people at this age have shorter time to work or are probably even retired.

Answer:

A. 19 years old

Step-by-step explanation:

19 years old because usually by the time someone between the ages of 59 and 79 should already own or be renting a house if they have set their financial goals correctly.

Answer:

A.

In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.

Step-by-step explanation:

We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.

So to get the actual division factor, let's take 3300 and divide it by 30,

3300/30 = 110

So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421

Answer: C In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421

Step-by-step explanation:

3,000 divided by 30 equals 100

Answer:

the answer is c.

Answer:

Let x represent the variety of tickets sold, and y represent the total amount of cash raised. Since each price tag is $2.50, the total amount of money raised is identical to $2.50 instances the wide variety of tickets. The equation would be y = 2.50x.

Step-by-step explanation:

The x variable represents the number of tickets sold.

The y variable represents the total amount of money raised from ticket sales.

The equation for the scenario is y = 2.50x.

Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

Divide price by quantity of each and compare:

7.80 / 12 = o.65 per tin

4.20 / 6 = 0.70 per tin

12 for 7.80 is less per tin, so is the Best Buy.