What is (6x^2+11x+4) / (2x+1)

A. 2x+1
B. 3x+4
C. 8x+4
D. 3x+7

Answer:

See explanation

Step-by-step explanation:

1.

a) simple interest = PRT/ 100

I = 10,000 * 4 * 5/100

I =$ 2000

A = $10,000 + $ 2000

A =$ 12,000

b) A = P(1 + r/n)^t*n

Where;

A = amount

P = principal

r = rate per year

n = number of time the interest is compounded in a year

t = time in years

A = 10,000(1 + 0.04)^5/1

A = $ 12,166.5

c) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/12)^5*12

A =$ 12,210

d) A = P(1 + r/n)^t*n

A = 10,000(1 + 0.04/365)^5*365

A=$ 12,213.90

2.A = P(1 + r/n)^t*n

$16,061.05 = P( 1 + 0.035/4) ^20*4

$16,061.05 = P (2.0076)

P = $16,061.05/2.0076

P= $8000

3.

A = P(1 + r/n)^t*n

12,213.89 = P(1 + 0.04/365)^5*365

12,213.89 = P(1.221)

P = 12,213.89/1.221

P = $10,003.2

Answer:

2x² + 3x - 5

Step-by-step explanation:

(2x + 5)(x - 1)

2x² - 2x + 5x - 5

2x² + 3x - 5

Answer:

319 calories

Step-by-step explanation:

Steps to answering this question :

Calories burnt per minute = total calories / minutes

220 / 20 = 11 calories

275 / 25 = 11 calories

385 / 35 = 11 calories

11 calories is burnt per minute

Total calories burnt in 29 minutes = calories burnt per minute x 29 minutes

11 x 29 = 319 calories

319

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The inverse variation means that when y goes up by a factor of 20/5 = 4, the value of x goes down by the same factor.

  x = 16/4

  x = 4

Answer:

A .........................

Answer:

LEavel ^ 9-8=1

Step-by-step explanation:

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$

Answer:

Yes

Step-by-step explanation:

The volume of Larry’s picture is approximately 653in³

The volume of Sandra’s pitcher is approximately 905in³

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters are;

Now, substitute the values, we have;

Larry's cylinder

Volume = 3.14 × 4² × 13

Find the square value and multiply the expression

Volume = 653in³

Sandra's cylinder

Volume = 3.14 × 6² × 8

Find the square value and multiply the expression

Volume = 905in³

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Answer:

184

Step-by-step explanation:

129.5 + 34.62 + 19.1

130 + 35 + 19

184

Answer:

i think its b

Step-by-step explanation:

Answer:

formula for the area A of a circle in terms of its radius r:

    A = πr2

It is important to remember that both r, and hence, A are functions of time, t.  Take the derivative of both sides with respect to t and obtain

    dA/dt = 2πr(dr/dt)

Note that we are using implicit differentiation here, since A and r are (implicit) functions of t.  Now we can find the required answers.

r = 5 inches.

Substitute r = 5 and dr/dt = 3 to get

    dA/dt = 2π5·3 = 30π ≅ 95.25

(the units are in2/min.)

r = 22 inches

    dA/dt = 2π22·3 = 132π ≅ 414.69

Hope that helps.

Answer:

-200 represents the price it orignally cost??

Step-by-step explanation:

Answer:

B) 0<=x<=54

Step-by-step explanation:

The domain of the function is,

0 ≤ x ≤ 54.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Given:

The graph is given in the attached image.

The graph shows the height y, in feet, of a balloon that is launched from a platform 13.5 feet high, as a quadratic function of x, the time in seconds.

The domain of the function is those value where the function is defined.

The domain of the function is,

0 ≤ x ≤ 54.

Therefore, 0 ≤ x ≤ 54 is the domain.

To learn more about the domain;

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×=20°

Hope this helps :)

Answer:

Im not so sure but i think its the 3rd option 168cm^2

Step-by-step explanation:

Answer:

-4m+10

Step-by-step explanation:

Answer:

-4m+10

explanation:

6m-10=-4m

+10

-4m+10

Answer:

10/30

Step-by-step explanation:

First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

Answer:

ok

Step-by-step explanation:

whats the question?

Answer:

I kind of need the models to help with this one

Answer:

Step-by-step explanation:

The answer is A for both

Answer:

multiply equation 1by -3 and multiply equation 2 by 1

-3×2x+3y×-3=13×-3

-6x+4y=0

-6x-9y=-39

-6x+4y=0

Step-by-step explanation:

-13y=-39

divide both side by -13

-13y/-13=-39/-13

y=3

put answer of y in equation 1

2x+3y=13

2x+3×3=13

2x+9=13

take like terms of the equation

2x=13-9

2x=4

divide both side by 2

2x/2=4\2

x=2

(x,y)=(2,3)

Answer:

3.6,I dont know if I'm right but I'm pretty sure

9514 1404 393

Answer:

  3.6 s

Step-by-step explanation:

This is nicely solved by a graphing calculator. It takes about 3.6 seconds to hit the ground.

__

We notice that the vertical velocity is a multiple of the leading coefficient, so we can solve this by completing the square.

  0 = -4.9(t^2 -2t) +28 . . . . . for h = 0

  28 +4.9 = 4.9(t^2 -2t +1) . . . . . rearrange, add 4.9 to both sides

  32.9/4.9 = (t -1)^2

  1 +(1/7)√329 = t ≈ 3.5912. . . . . square root and add 1

It takes about 3.6 seconds for the watermelon to hit the street.

Answer:

Y=-80

Step-by-step explanation:

X=Ky/z

5=30k/3

30k=15

K=1/2

20=Ky/(-2)

Ky =-40

1/2y=-40

Y=-80

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

−

21

16

Explanation:

to calculate the slope m use the

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let

(

x

1

,

y

1

)

=

(

−

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

−

10

)

⇒

m

=

−

10

−

11

9

−

(

−

7

)

=

−

21

16

=

−

21

16

Step-by-step explanation:

Answer:

Step-by-step explanation:

The table can be computed as:

Advertising Expenses ($ million)     Number of companies

25 up to 35                                                    4

35 up to 45                                                    19

45 up to 55                                                    27

55 up to 65                                                    16

65 up to 75                                                     9

TOTAL                                                            75

Let's find the probabilities first:

[tex]P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}<z< \dfrac{35-50.93}{10.80}\Big) \\ \\ =P \Big(\dfrac{-25.93}{10.80}<z< \dfrac{-15.93}{10.80}\Big) \\ \\ =P(-2.4009<z<-1.475) \\ \\ =(0.0694 -0.0082) \\ \\ =0.0612[/tex]

For 35 up to 45

[tex]P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}<z< \dfrac{45-50.93}{10.80}\Big)=P \Big(\dfrac{-15.93}{10.80}<z< \dfrac{-5.93}{10.80}\Big) \\ \\ =P(-1.475<z<-0.5491) \\ \\ =(0.2912 -0.0694) \\ \\ =0.2218[/tex]

For 45 up to 55

[tex]P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}<z< \dfrac{55-50.93}{10.80}\Big)=P \Big(\dfrac{-5.93}{10.80}<z< \dfrac{4.07}{10.80}\Big) \\ \\ =P(-0.5491<z<0.3769) \\ \\ =(0.6480 -0.2912) \\ \\ =0.3568[/tex]

For 55 up to 65

[tex]P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}<z< \dfrac{65-50.93}{10.80}\Big)=P \Big(\dfrac{4.07}{10.80}<z< \dfrac{14.07}{10.80}\Big) \\ \\=P(0.3768<z<1.3028) \\ \\ =(0.9032-0.6480) \\ \\ =0.2552[/tex]

For 65 up to 75

[tex]P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}<z< \dfrac{75-50.93}{10.80}\Big)=P \Big(\dfrac{14.07}{10.80}<z< \dfrac{24.07}{10.80}\Big) \\ \\ =P(1.3028<z<2.2287) \\ \\=(0.9871-0.9032) \\ \\ =0.0839[/tex]

Chi-Square Table can be computed as follows:

Expense   No of   Probabilities(P)  Expe                [tex](O-E)^2[/tex]   [tex]\dfrac{(O-E)^2}{E}[/tex]

             compa                                 cted E (n*p)

             nies (O)  

25-35           4      0.0612    75*0.0612 = 4.59        0.3481       0.0758

35-45           19     0.2218   75*0.2218 = 16.635     5.5932       0.3362

45-55           27     0.3568   75*0.3568 = 26.76     0.0576      0.021

55-65           16      0.2552   75*0.2552 = 19.14      9.8596      0.5151

65-75           9      0.0839     75*0.0839 = 6.2925   7.331         1.1650

                                                                                           [tex]\sum \dfrac{(O-E)^2}{E}= 2.0492[/tex]                                                                                                      

Using the Chi-square formula:

[tex]X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942[/tex]

Null hypothesis:

[tex]H_o: \text{The population of advertising expenses follows a normal distribution}[/tex]

Alternative hypothesis:  

[tex]H_a: \text{The population of advertising expenses does not follows a normal distribution}[/tex]

Assume that:

[tex]\alpha = 0.02[/tex]

degree of freedom:

= n-1

= 5 -1

= 4

Critical value from [tex]X^2 = 11.667[/tex]

Decision rule: To reject [tex]H_o \ if \ X^2[/tex]  test statistics is greater than [tex]X^2[/tex] tabulated.

Conclusion: Since [tex]X^2 = 2.0942[/tex] is less than critical value 11.667. Then we fail to reject [tex]H_o[/tex]

Answer:

Step-by-step explanation:

Degree means highest exponent.  got it?