James is 612 centimeters tall. How many decimeters is this?

Answer:

B.) As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

Step-by-step explanation:

[tex]\lim_{x\rightarrow -\infty } f\left( x\right) =\lim_{x\rightarrow -\infty } -4\sqrt[3]{x} = (-4)\times(-\infty) = +\infty[/tex]

[tex]\lim_{x\rightarrow \infty } f\left( x\right) =\lim_{x\rightarrow \infty } -4\sqrt[3]{x} = (-4)\times(+\infty) = -\infty[/tex]

A. True. We see this by taking the highest order term in each factor:

[tex]f(x) = -3x(x-5)^3(x+2)^2 = -3x (x^3 + \cdots) (x^2 + \cdots) = -3x^{\boxed{6}} + \cdots[/tex]

B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.

C. False. f(x) = 0 only for x=0, x = 5, and x = -2.

D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.

E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).

F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.

Answer: the slope is y=-1/2

Step-by-step explanation:

because the line is moving from left to right, it is a negative slope

Answer:

7.53

3.5 + 0.02 = 3.52

11 + 0.05 = 11.05

11.05 - 3.52 = 7.53

Answer:

5√6

Step-by-step explanation:

√25 x 6

√25 x√6

5√6

Using the binomial distribution, it is found that the desired values are given as follows:

a) 4.8 jurors.

b) The proportion is of 0.25.

c) 0.2254 = 22.54% probability.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

Item a:

The expected value of the binomial distribution is given by:

E(X) = np

Hence:

E(X) = 12 x 0.4 = 4.8 jurors.

Item b:

The proportion of 3 out of 12 is 3/12 = 1/4 = 0.25.

Item c:

The probability is given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.4)^{0}.(0.6)^{12} = 0.0022[/tex]

[tex]P(X = 1) = C_{12,1}.(0.4)^{1}.(0.6)^{11} = 0.0174[/tex]

[tex]P(X = 2) = C_{12,2}.(0.4)^{2}.(0.6)^{10} = 0.0639[/tex]

[tex]P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0022 + 0.0174 + 0.0639 + 0.1419 = 0.2254[/tex]

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Answer:

=41

Step-by-step explanation:

X = 4 and y =5

6( [tex]4^{2} - 5[/tex]) - [tex]5^{2}[/tex]

= 6 (16-5) -25

= 6 (11)-25

= 66 -25

=41

Answer:

56

Step-by-step explanation:

We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.

2x+8+60=180

When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on  both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.

Answer:

$1,923.08.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769

P = $1,923.08

The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.

Answer:

cos 90°

Step-by-step explanation:

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

= cos ( 60° + 30°)

= cos 90°

The expression (cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

We can use the trigonometric identity for the difference of angles between cosines.

cos(x - y) = cos(x)cos(y) - sin(x)sin(y)

By setting x = 60° and y = 30°.

So,

cos(60° - 30°) = (cos 60°)(cos 30°) − (sin 60°)(sin 30°)

cos 30° = (cos 60°) (cos 30°) − (sin 60°) (sin 30°)

Thus,

(cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

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The surface area of the pyramid is 96 ft²

The surface area of the square base prism is 552 ft²

The surface area of the cube is 216 ft²

The total surface area is 756 ft²

The surface area of the pyramid = A + 1/2 ps

where

Therefore,

A = 6² = 36 ft²

p = 4(6) = 24 ft

s = √3² + 4² = √9 + 16 = √25 = 5 ft

Hence,

The surface area of the pyramid = 36 + 1 / 2 × 24 × 5 = 96 ft²

The surface area of the square base prism = 2a² + 4ah

where

Therefore,

The surface area of the square base prism = 2(6)² + 4(6)(20) = 72 + 480 = 552 ft²

The surface area of the cube  = 6l² = 6 × 6² = 6 × 36 = 216 ft²

Total surface area = 96 + 552 + 216 = 864 - 36  - 36 - 36 = 756 ft²

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Answer: 1 . Is 96 square feet

2 . is 552 square feet

3 . 216 square feet

4 . 756 square feet

Step-by-step explanation:

Answer:

  y = 15x

Step-by-step explanation:

The equation for direct variation is ...

  y = kx

where k is the constant of proportionality.

__

We can find k by dividing by x:

  y/x = k

Using the given values, we find it to be ...

  75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

  y = 15x

solve by inspection

[tex]x^2+7x+12\\\\(x+4)(x+3)[/tex]

[tex]x+4=0\\\\x=-4[/tex]

[tex]x+3=0\\\\x=-3[/tex]

The zeros of the function are -4 and -3.

A,D and E are not polynomials.

Step-by-step explanation:

Well you see my friend, that's how things work.

A polynomial does not have the variable in the denominator.

The area of the shaded region is 75.5cm^2.

The radius of the inner circle=10cm

The radius of the outer circle=14cm

angle made by sector is 90 degrees.

[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]

For an outer sector

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]

area of the sector=154cm^2

Now we have to find the area of the sector for the inner circle.

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]

Area of sector=78.5cm^2

Area of the shaded region =area outer sector - area of inner sector

Area of the shaded region=154-78.5.

Area of the shaded region75.5cm^2.

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Answer:

188

Step-by-step explanation:

I found and fixed my mistake sorry

Using scientific notation, it is found that the number in standard notation is represented by:

[tex]74.94 \times 10^3 = 74940[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the number is given by:

[tex]74.94 \times 10^3[/tex]

Hence, applying the multiplication, we have that:

[tex]74.94 \times 10^3 = 74.94 \times 1000 = 74940[/tex]

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Answer:

38.5...............

Step-by-step explanation:

(11×7)/2.

Answer:

the probability is 1.01

We expect to get the color green 10 times out of the 80.

The spinner is divided into 8 equal colors, so we can assume that each one of the 8 colors has the same probability of being spun.

This means that if we spin the spinner, the probability of getting the color green is p = 1/8.

So, in 80 tries, we will expect to get the color green a total of:

N = (1/8)*80 = 10

We expect to get the color green 10 times out of the 80.

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Answer:

The correct answer is P(green)=2/8 (80)

Step-by-step explanation:

Daniel’s spinner is divided into 8 equal sections.

A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.

As you can see there are 2 greens so it would be 2/8 since there are 8 pieces and 2 greens out of those 8.

HOPE THIS HELPS!

(I also did this on edge and got it correct)

Answer:

x=√15 or x = -5 or x=3

Step-by-step explanation:

Possibility one:

x=x^2+x-15

x-x^2=x^2+x-15-x^2 (subtract x^2 from both sides)

-x^2+x=x-15

-x^2+x-x=x-15-x (subtract x from both sides)

-x^2=-15

-x^2/-1=-15/-1 (divide both sides by -1)

x^2=15

square root both sides

x=√15 or x=-√15

Possibility two:

x=(-x^2+x-15)

x=-x^2-x+15 (simplify)

x-(-x^2-x+15)=-x^2-x+15-(-x^2-x+15) (subtract both sides by -x^2-x+15)

x^2+2x-15=0

(x-3)(x+5)=0 (factor left side of equation)

x-3=0 or x+5=0 (set factors equal to 0)

x=3 or x=-5

a. The cost of the stock is $19

b.  Tanya Elliot paid total amount of $ 7629.95.

The cost of preferred stock to a company is effectively the price it pays in return for the income it gets from issuing and selling the stock.

a. It is given that , each share= $19.00

Total number of shares = 400

Price for 400 shares be,

= 400 x $19.00

= $7600.00

Cost of the stock= [tex]\frac{ 7600}{400}[/tex]

                            = $19

b. Total paid by Tanya = $7600.00 +$29.95

                                      = $7629.95

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Answer:

D. 1/4

since it is a vertical line x is always 1/4

Answer:

C . The sun

plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal