Determine which consecutive integers do not have a real zero of f(x) = x^3 + 9x^2 + 8x – 5 between them.


A.) (–8, –7)


B.) (4, 5)


C.) (0, 1)


D.) (–2, –1)

Answer:

216

Step-by-step explanation: If they are 1 by 1 tiles that means that all you need to do is multiply 18 by 12 to get 216. Hope this helps :)

Answer:

216 Tiles

Step-by-step explanation:

18 by 12

8*12=216

Use a Tile Calculator plus this is easy

Wastage: 5%

Tiles with Wastage = 227 Tiles

Answer:180.3

Step-by-step explanation:

a=150

b=50

C=120

c^2=a^2+b^2-2 x a x b x cosC

c^2=150^2+50^2-2x150x50xcos120

c^2=150x150+50x50-2x150x50xcos120

c^2=22500+2500-15000cos120

c^2=25000-15000x-0.5

c^2=25000+7500

c^2=32500

c=√(32500)

c=180.3

Answer:

180.3 inches

Step-by-step explanation:

Using cosine law:

c² = 150² + 50² - 1(150)(50)cos(120)

c² = 32500

c = 50sqrt(13)

c = 180.3 (nearest tenth)

Answer:

  Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.

If the expressions have the same value for two different variable values, they are equivalent. (choice D)

_____

Additional comment

One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.

Answer:

1140 and 1150

Step-by-step explanation:

If your rounding to the tens place.

The rule for rounding is to look at the digit before the one you want to round to.

So if you want to round to the nearest tens, then look at the ones.

If the digit is 0-4 round down. If 5-9 round up.

1143 rounds to 1140 because of the 3

and 1149 rounds to 1150 because of the 9.

Answer:

1200  and 1100

Step-by-step explanation:

Tony rounded each of the numbers 1183 and 1145 to the nearest hundred.

To round the number to nearest hundred , check the digit in tens place.

If the number in tens place is greater than or equal to 5 then we add 1 in hundreds place

If the number in tens place is less than 5 then we replace the remaining digits by 0

In 1183, we have 8 in tens place so 1183 is rounded to 1200

In 1145, we have 4 in tens place so 1145 is rounded to 1100

Answer:

1.8

is the median

Answer: 1.8

Step-by-step explanation: 1.8 is the median

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

f(x) = sin x

The average value of a function between x=a and x=b is:

avg = 1/(b−a) ∫ₐᵇ f(x) dx

avg = 1/(π−0) ∫₀ᵖⁱ sin x dx

avg = 1/π (-cos x) |₀ᵖⁱ

avg = 1/π (-cos π − (-cos 0))

avg = 1/π (1 + 1)

avg = 2/π

h(x) = x⁴/12 − x²/6

Find the second derivative.

h'(x) = x³/3 − x/3

h"(x) = x² − ⅓

Factor using difference of squares.

h"(x) = (x − 1/√3) (x + 1/√3)

h"(x) = 0 when x = ±1/√3.  Evaluate the sign of h"(x) in each interval.

-∞ < x < -1/√3, h"(x) > 0.

-1/√3 < x < 1/√3, h"(x) < 0.

1/√3 < x < ∞, h"(x) > 0.

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

Answer:

A. p + q = b

D. p · q = c

Step-by-step explanation:

It's best to look at an example, such as this:

[tex]x^2 - 12x+ 35[/tex]

And it's factored form is:

(x - 5) (x - 7)

As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).

Answer:3.3

Step-by-step explanation:

Circumference=8

Φ=288

π=3.14

Radius=r

Circumference=2 x π x r

8=2 x 3.14 x r

8=6.28 x r

Divide both sides by 6.28

8/6.28=(6.28 x r) /6.28

1.3=r

r=1.3

Length of arc =Φ/360 x 2 x π x r

Length of arc =288/360 x 3.14 x 1.3

Length of arc =0.8 x 3.14 x 1.3

Length of arc =3.3

Answer:32/5

Step-by-step explanation: did it in khan

Answer:(x+10)(x+9)

Step-by-step explanation:

x^2+19x+90

x^2+10x+9x+90

x(x+10)+9(x+10)

(x+10)(x+9)

Answer:

  a) increasing (0, ∞); decreasing (-∞, 0)

  b) min: (0, 0); max: DNE

  c) inflection points: (-√6/3, 1/4), (√6/3, 1/4);

      up: (-√6/3, √6/3); down: (-∞, -√6/3) ∪ (√6/3, ∞)

Step-by-step explanation:

The intervals of increase or decrease can be found from the sign of the slope, that is, the sign of the first derivative. That derivative is ...

  f'(x) = ((x^2 +2)(2x) -x^2)(2x)/(x^2 +2)^2

  f'(x) = 4x/(x^2 +2)^2

(a) f'(x) is positive for x > 0, hence ...

  the function is increasing on (0, ∞)

  the function is decreasing on (-∞, 0)

__

(b) f'(x) is zero for x=0, a local minimum. f(0) = 0.

  minimum: (0, 0)

  maximum: DNE

__

(c) The second derivative is ...

  f''(x) = ((x^2+2)^2·4 -(4x)(2)(x^2 +2)(2x))/(x^2 +2)^4

  = (8 -12x^2)/(x^2 +2)^3

Inflection points are where the second derivative is zero, or ...

  8 -12x^2 = 0

  x^2 = 2/3

  x = ±√(2/3) = ±(√6)/3

The values of f(x) there are x^2/(x^2 +2) = (2/3)/(2/3 +2) = (2/8) = 1/4

The points of inflection are (x, y) = (-√6/3, 1/4), (√6/3, 1/4).

The function is concave up between these inflection points

  f(x) is concave up on the interval (-√6/3, √6/3)

  f(x) is concave down on (-∞, -√6/3) ∪ (√6/3, ∞)

Answer:

I' = 197,474.47 cm^3/min

the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min

Step-by-step explanation:

Given;

Tank radius r = d/2 = 4.5/2 = 2.25 m = 225 cm

height = 11 m

Change in height dh/dt = 16 cm/min

The volume of a conical tank is;

V = (1/3)πr^2 h .....1

The ratio of radius to height for the cone is

r/h = 2.25/11

r = 2.25/11 × h

Substituting into equation 1.

V = (1/3 × (2.25/11)^2)πh^3

the change in volume in tank is

dV/dt = dV/dh . dh/dt

dV/dt = ((2.25/11)^2)πh^2 . dh/dt ....2

And change in volume dV/dt is the aggregate rate at which water is pumped into the tank.

dV/dt = inlet - outlet rate

Let I' represent the rate of water inlet and O' represent the rate of water outlet.

dV/dt = I' - O'

Water outlet O' is given as 8200 cm^3/min

dV/dt = I' - 8200

Substituting into equation 2;

I' - 8200 = ((2.25/11)^2)πh^2 . dh/dt

I' = ((2.25/11)^2)πh^2 . dh/dt + 8200

h = 3.0 m = 300 cm (water height)

Substituting the given values;

I' = ((2.25/11)^2)×π×300^2 × 16 + 8200

I' = 197,474.47 cm^3/min

the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min

44.44% or 4/9

percentage

200/450=.444...

.444x100=44.44%

fraction

200/450 is simplified to 4/9

Answer:

~ probability of 4/9 ~

Step-by-step explanation:

1. Here we can see that 1 box ⇒ I car, so the cars are equal to the boxes (450 boxes, 450 cars)

2. As this is true, to determine the probability a cereal box has a blue car in it, out of the 450 cereal boxes there are 200 blue cars, in a fraction expressed as such: 200/450

3. This value can be simplified through simple algebra, to be: probability of 4/9, which was computed through division of 50 on 200 and 450

Answer:

1 1\15

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Answer:

Here is the answer:

Step-by-step explanation:

10.5

Answer:

Cool

Step-by-step explanation:

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

????????????????????

Answer:

You will have $2,814.20 after 7 years

Step-by-step explanation:

We are given that You invest $2,000 into a savings account that gets 5% interest compounded yearly.

Principal = $2000

Rate of interest = 5% =0.05

We are supposed to find How much money will you have after 7 years?

Formula : [tex]A = P(1+r)^t[/tex]

A= Amount

P = Principal

t =time

r = rate of interest in decimals

Substitute the values in the formula :

[tex]A = 2000(1+0.05)^7[/tex]

A=2814.20

So, Option A is true

Hence You will have $2,814.20 after 7 years

Answer:

1.5x+4

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Distribute

[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]

[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]

[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]

Step 2:  Combine like terms

[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]

[tex]1.5x + 4[/tex]

Answer:  [tex]1.5x + 4[/tex]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of student that have heard the announcement after 4 hours is  

  [tex]f(4) = 530[/tex]

Step-by-step explanation:

From the question we are told that

                 [tex]f(t) = \frac{6000}{1 + Be^{-kt}}[/tex]

Now at time t =  0  f(t) = 300 this because at the time the announcement was made the number of student present was [tex]f(0) = 300[/tex]

    so

                     [tex]f(0) = \frac{6000}{1 + Be^{-k(0)}}[/tex]

                    [tex]300 = \frac{6000}{1 + Be^{-k(0)}}[/tex]

                    [tex]1 + B = 20[/tex]

=>                  [tex]B = 19[/tex]

So the above  equation becomes

               [tex]f(t) = \frac{6000}{1 + 19 e^{-kt}}[/tex]

 Now at the given time  t = 2hr   [tex]f(2) = 400[/tex]

     So

           [tex]f(2) = \frac{6000}{1+19e^{-2k}}[/tex]

            [tex]400 = \frac{6000}{1+19e^{-2k}}[/tex]          

            [tex]1+ 19 e^{-2k} = 15[/tex]

            [tex]19 e^{-2k} = 14[/tex]

            [tex]e^{-2k} = 0.7368[/tex]

           [tex]-2k =-0.3054[/tex]

            [tex]k = 0.1527[/tex]                

So the equation is now

       [tex]f(t) = \frac{6000}{1+ 19e^{-0.1527t}}[/tex]

Now  at  t =  4 hrs we have that

      [tex]f(4) = \frac{6000}{1+ 19e^{-0.1527* 4}}[/tex]

      [tex]f(4) = 530[/tex]

Answer:

[tex] lim_{x \to 2} x^2 +8x -2 [/tex]

And using the properties of limit we got:

[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]

And replacing we got:

[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]

Step-by-step explanation:

For this case we want to find this limit:

[tex] lim_{x \to 2} x^2 +8x -2 [/tex]

And using the properties of limit we got:

[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]

And replacing we got:

[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]

Answer:

= 1696m^3

Step-by-step explanation:

V = πr²h

= 3.14 x 6 x 6 x 15

= 3.14 x 540

= 1695.6 m^3

= 1696m^3

Question:

Given the equation (2x + 2)/y = 4w + 2.

What is the value of x?

Answer:

x = 2wy + y - 1

Step-by-step explanation:

Given

(2x + 2)/y = 4w + 2

Required

Find x

To find the value of x; the following steps will be used.

First, Multiply both sides by y

y * (2x + 2)/y = (4w + 2) * y

2x + 2 = 4wy + 2y

Subtract 2 from both sides

2x + 2 - 2 = 4wy + 2y - 2

2x = 4wy + 2y - 2

Multiply both sides by ½

½ * 2x = ½(4wy + 2y - 2)

x = ½(4wy + 2y - 2)

Open bracket

x = ½ * 4wy + ½ * 2y - ½ * 2

x = 2wy + y - 1

Hence, the value of x is 2wy + y - 1

Answer:

B

Step-by-step explanation:

I took the test

Answer:

A. p + q = b

D. p · q = c

Step-by-step explanation:

It's best to look at an example, such as this:

[tex]x^2 - 12x + 35[/tex]

And it's factored form is:

(x - 5) (x - 7)

As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).

Answer:

A and D

Step-by-step explanation:

STOP REPORTING MY ANSWER!!

Kono Dio Da!!!

Your answer would be i'm pretty sure 2ft by 6 ft or 4ft by 3ft I am not positively sure but if I did my maths right then they should be our answer(s) not sure...still.

Answer:

7/8

Step-by-step explanation:

28/32

Divide the top and bottom by 4

28/4 = 7

32/4 = 8

28/32 = 7/8

Answer:

6

Step-by-step explanation:

The ratio would be 3:65, so to get it to ?:130 you would multiply by 2 (65•2=130). So all you have to do is do 3•2=6 to get the correct ratio which is 6:130. So that answer would be 6.

Answer: 16, 64, and 49

Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.

11 is not a perfect square since nothing can

be multiplied by itself to give us 11.

The same is true for 62 and 15.

16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.

That number is 4 since 4 × 4 = 16.

64 is also one since 8 can be multiplied by itself twice to give us 64.

49 is also one since 7² or 7 × 7 is 49.

Answer:D,E and F

Step-by-step explanation:

Perfect squares are numbers in which their square roots are whole numbers.

From the options

√16 =4

√64 =8

√49 =7

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: mark obtained in an aptitude test by a candidate.

This variable has a mean μ= 128.5 and standard deviation σ= 8.2

You have the data of three scores extracted from the pool of aptitude tests taken.

148, 102, 152

The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134

I hope this helps!

Answer:24

Step-by-step explanation:

18:27=16:__ let__=h

18:27=16:h

18/27=16/h

Cross multiply

18 x h=16 x 27

18h=432

Divide both sides by 18

18h/18=432/18

h=24