c) The exponential model A = 513.5e0.009t describes the population, A, of a
country in millions, t years after 2005. Use the model to determine when the
population of the country will be 602 million.

Answer:

option 2

Step-by-step explanation:

Answer:

184.22

Step-by-step explanation:

Answer:

r = 1

Step-by-step explanation:

Find the intersection.

r = 1

r = 3

r = -1

r = 1

Answer:

r=3, r=1, r= -1

Step-by-step explanation:

48r^3-144r^2-48r=-144

48r^3-144r^2-48r +144 =-144 + 144

48r^3-144r^2-48r+144=0

48(r-3)(r+1)(r-1)

r-3=0 r+1=0 r-1=0

r=3, r=1, r= -1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can do a nice job of showing you what the graph looks like.

The initial factor of 4 is the value when x=0, the y-intercept. The base of 2 tells you the function value is multiplied by 2 for each unit of x to the right, and divided by 2 for each unit of x to the left. (The curve quickly goes off the top of the graph.)

The horizontal asymptote is y=0, as it is for all exponential functions (that have not been translated).

Answer:

A=(78.5)cm²

Step-by-step explanation:

d=10

r=10/2=5

A=πr²

A=3.14*5²

A=3.14*25

A=78.5cm²

Answer: d=10cm

According to the formula i.e. A=πr²

first we need 'r'

as r=d/2

hence,  r= 10cm/2

r=5cm

put r=5 in formula

=3.14(5cm)²

=3.14×25cm²

=78.5cm²

Answer:

√65

Step-by-step explanation:

(-6,4) (-5,-4)

√(x2 - x1)² + (y2 - y1)²

√[-5 - (-6)]² + (-4 - 4)²

√(1)² + (-8)²

√1 + 64

√65

Answer:

answer is 0.4

Step-by-step explanation:

Answer: 7 / 8 should be added

Step-by-step explanation:

Let x be the number that should be added

Write the equation

-3/2 + x = -5/8

Add -3/2 on both sides

-3/2 + x + 3/2 = -5/8 + 3/2

x = -5/8 + 3/2

Change the denominator of 3/2 to 8 in order to do addition

x = -5/8 + 12 / 8

x = 7 / 8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

90in2

Step-by-step explanation:

3x5x6=90

Answer:

C.90

Step-by-step explanation:

first multiply 3 and 5 which is 15 then times it with 6 which equals 90

Answer:

I think you can go with:

The margin of error is equal to half the width of the entire confidence interval.

so  try .74 ± [tex]\frac{.032}{2}[/tex]  =   [ .724 , .756] as the confidence interval

Step-by-step explanation:

Answer:

the ans is 252................

Answer:

x = -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

(-12)+(-8)= -20

-20+14= -6

Answer:          

35/5 (if you mean 10.6)    

1000000 (if you mean 10 to the sixth power)      

0.000001 (if you mean 10/6)

Answer:

There are 126 inches in 10'6

Step-by-step explanation:

take our feet and multiply the value by 12

Solution :

a). The point estimate of proportion of college graduates among women who work at home,

[tex]$\hat p =\frac{166}{506}$[/tex]

  = 0.3281

99.5% confidence interval

[tex]$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$[/tex]

[tex]$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times (1- 0.3281)}{506}} \right)$[/tex]

[tex]$=(0.3281 \pm 0.0586)$[/tex]

[tex]$=(0.2695, 0.3867)$[/tex]

Problem 1

The idea here is to follow PEMDAS in reverse to undo what is happening to the variable b, so we can isolate it.

-11b + 7 = 40

-11b = 40-7

-11b = 33

b = 33/(-11)

b = -3

To check this value, plug it back into the original equation. You should get 40 on each side to help confirm the answer.

=====================================================

Problem 2

There are two ways we can solve. One method is to use the hint your teacher gave you. So we'll distribute first and then follow the same idea as problem 1

9(p-4) = -18

9p-36 = -18

9p = -18+36

9p = 18

p = 18/9

p = 2

Another method you can use is to follow these steps

9(p-4) = -18

p-4 = -18/9

p-4 = -2

p = -2+4

p = 2

Either way, we get the same result. To check the answer, replace every p with 2 in the original equation. You should get -18 on the left side after simplifying.

Answer:

2c + 5, where c is the number of candies Katie has

Step-by-step explanation:

Let c represent the number of candies that Katie has.

Maya has 5 more than twice as many candies as Katie.

Twice as many candies as Katie can be represented by 2c, and 5 more than this can be represented by 2c + 5.

So, the expression for the number of candies Maya has is 2c + 5.

Answer:

2c + 5, where c is the number of candies Katie has

Step-by-step explanation:

I took the test.

Answer:

Step-by-step explanation:

I'm from the UK and I'm not familiar with a two column proof, but the following proves the converse.

Draw 2 right angled triangles with the 2 legs = a and b in each case and the longest side = c in one triangle and f in the other.

By Pythagoras a^2 + b^2 = c^2   (Given)

Also in the other triangle a^2 + b^2 = f^2,  if it is right-angled.

Therefore a^2 = f^2 and a = f.

So the 2 triangles are congruent by SSS.

So m < C  in one triangle = m < F  ( the angles opposite the hypotenuse)

Therefore the second triangle is right angled .

This completes the proof.

Answer:

z=0

50%

Step-by-step explanation:

============================================

Explanation:

Let x be the mass of the lead, and this mass is in kg.

The ratio 13:6:1 can be scaled up to 13x:6x:1x after multiplying all parts by x.

The portion in the middle (6x) represents how much zinc we have, while the last part (1x or simply x) is the amount of lead.

----------------

We're told that we have 90 kg of zinc. Set this equal to 6x and solve for x

6x = 90

6x/6 = 90/6 ..... dividing both sides by 6

x = 15

So we have 15 kg of lead

Side note: we also have 13x = 13*15 = 195 kg of copper.

Answer:

5<x<29

Step-by-step explanation:

One theorem tells us that if a triangle has two congruent sides and one of the included angle is bigger than the other, the triangle with the included angle that is bigger. has a bigger side than the other.

This is the opposite in this case. The triangles share two sides and we know that the triangle with the side length 18 has a bigger angle than the triangle with the side length 15. So this means that

[tex]48 > 2x - 10[/tex]

Let find the range of x values.

An angle cannot be negative or zero so this means that

[tex]2x - 10 > 0[/tex]

Solve for x.

[tex]2x > 10[/tex]

[tex]x > 5[/tex]

The angle cannot be bigger than 48 so

[tex]48 > 2x - 10[/tex]

Solve for x.

[tex]58 > 2x[/tex]

[tex]29 > x[/tex]

So x must be greater than 5 but less than 29.

Answer:

i) 154m

ii) 495m^2

Step-by-step explanation:

2 layers around the garden = 2*perimeter = 2(10+20+12+35) = 2(77) = 154

shape is a trapezium, area = h(a+b)/2 = 18(20+35)/2 = 495

Answer:

C

Step-by-step explanation:

the answer is C because only C contained it's correct root and power

Answer:

[tex]f(x) = x^4 + 9x^3 + 27x^2 + 27x[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

- 3 as a zero of multiplicity 3

So

[tex]f(x) = (x - (-3))^3 = (x + 3)^3 = x^3 + 9x^2 + 27x + 27[/tex]

0 as a zero of multiplicity 1.

So

[tex]f(x) = x(x^3 + 9x^2 + 27x + 27) = x^4 + 9x^3 + 27x^2 + 27x[/tex]

(Use 1 for the leading coefficient.)

Multiply the polynomial by 1, so it stays the same. The polynomial in expanded form is:

[tex]f(x) = x^4 + 9x^3 + 27x^2 + 27x[/tex]

9514 1404 393

Answer:

  C.  because the graphs of the two equations overlap each other

Step-by-step explanation:

When a system of linear equations has an infinite number of solutions, the equations are "dependent." That means they both describe the same line. The graph will appear to be one line because the lines overlap each other.

__

Additional comment

The Desmos graphing calculator lets the texture of the graph be varied, so we can see that the two lines overlap. In the attached, one equation is graphed as a dotted red line, the other as a solid blue line.

Answer:

D. 28

Step-by-step explanation:

Given:

m∠AFD = 90°

m∠AFB = 31°

Required:

m∠DFE

Solution:

m<AFB = m<CFD (both angles are marked as congruent angles)

Since m<AFB = 31°, therefore,

m<CFD = 31°

m<AFB + m<CFD + m<BFC = m<AFD

Plug in the known values

31° + 31° + m<BFC = 90°

62° + m<BFC = 90°

Subtract 62° from each side

m<BFC = 90° - 62°

m<BFC = 28°

m<BFC = m<DFE = 28° (both angles are marked congruent to each other)

Therefore,

m<DFE = 28°

Answer:

[tex]\approx 0.482659[/tex]

Step-by-step explanation:

The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:

[tex]\frac{desired}{total}[/tex]

However, the experimental probability can be described with the following formula:

[tex]\frac{number\ of\ desired\ outcomes}{number\ of \ trials}[/tex]

The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:

[tex]\frac{tails}{total}[/tex]

One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:

[tex]\frac{tails}{heads+tails}[/tex]

Substitute,

[tex]\frac{167}{167+179}[/tex]

Simplify,

[tex]\frac{167}{346}[/tex]

Rewrite as a decimal:

[tex]\approx 0.482659[/tex]

Answer:

Each chocolate truffle is $2.125

Step-by-step explanation:

Honestly, I'm not 100% sure if this is correct, and I am truly sorry if this is wrong, but its worth a try :)