simplify the variable expression: g-16/4

Answer:

523.6 m³

Step-by-step explanation:

The polyhedron is an oblique cone

Volume of oblique cone = ⅓πr²h

r = x = 5 m

h = y = 20 m

Volume = ⅓*π*5²*20

Volume = ⅓*π*25*20

Volume = 523.598777 ≈ 523.6 m³ (nearest tenth)

Answer:

0.03, 0.06, 0.2, 0.76, 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

let's list everything out.

$35 for school supplies

$17.5 has already been used

$17.5 is left

pens only come in packs of 12

one pack of pens is $5

ok, so we know its definitely not C or D because they are less than 12

42 is not divisible by 12

since packs only come in 12's then it must be B.

good luck my friend!

Answer:

17x + 56 = 0

Step-by-step explanation:

add 2x and 15x

Answer:

Step-by-step explanation:

Repost with picture and I can help you

sorry I cant answer your question if all you write " is help me pls"

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

Answer:

c.{-2,2}

Step-by-step explanation:

6

x

2

−

24

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

6

,

b

=

0

, and

c

=

−

24

into the quadratic formula and solve for

x

.

0

±

√

0

2

−

4

⋅

(

6

⋅

−

24

)

2

⋅

6

Simplify.

x

=

±

2

The final answer is the combination of both solutions.

x

=

2

,

−

2

Answer:

Step-by-step explanation:

sin 60=CB/18

[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]

Answer:

=3(2(5)+1

=3×10+1

=30+1

=31

Answer:

(a) 33

(b) 27

(c) 1/2

Step-by-step explanation:

(a)

g(x) = 3(2x + 1)

g(5) = 3(2 * 5 + 1)

g(5) = 3(10 + 1)

g(5) = 3(11)

g(5) = 33

(b)

[tex] f(x) = \dfrac{12}{\sqrt{x}} [/tex]

[tex] f(9) = \dfrac{12}{\sqrt{9}} [/tex]

[tex] f(9) = \dfrac{12}{3} [/tex]

[tex] f(9) = 4 [/tex]

g(f(9)) = g(4) = 3(2(4) + 1)

g(f(9)) = 3(9)

g(f(9)) = 27

(c)

[tex] g(x) = 3(2x + 1) [/tex]

[tex] y = 3(2x + 1) [/tex]

[tex] x = 3(2y + 1) [/tex]

[tex] 2y + 1 = \dfrac{x}{3} [/tex]

[tex] 2y = \dfrac{x}{3} - 1 [/tex]

[tex] y = \dfrac{x}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(x) = \dfrac{x}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = \dfrac{6}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = 1 - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = \dfrac{1}{2} [/tex]

Answer:

Confidence Interval =  ( 5.6 < μ < 8.2 )

The interval shows that the mean attractiveness is Above average on a scale of 1 to 10

Step-by-step explanation:

Data Given  : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9

a) construct a confidence interval at a 95% confidence level

confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )

n = 12

μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12  ≈ 6.92

std ( s ) = √ 1/11 *∑( xi- X )^2

= √ 1/11 *  ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2

= √ 1/11 * 46.92 =  2.07

tcritical at ∝ 0.05 , df = 11  = 2.20

Back to equation 1

6.92 ± 2.2 ( 2.07 / √ 12 )

( 6.92 ± 1.31 )

Confidence Interval =  ( 5.6 < μ < 8.2 )    

Answer: use  the app photomath. its free.  you take a picture and it will show you all the steps in depth

Step-by-step explanation:

Answer:

5) 10³: So you do 10* 10*10= 1,000

so 10³= 1,000

All you are doing is takeing the number and multiplying itself to the power.

6) (-7)⁴= so you are taking the -7 in parenthesis and making it positive, then you are taking the positive 7 and doing  7⁴. Once you do that you get positive 2401.

8) 3+6* (-5) to the second (i dont have the symbol) so you are going to do PEMDAS: Parenthesis, Expression, Multipulcation, Divison, Addition and Subtraction. so it would be 5+6*25to the second. So you do multipulcation first, so do 6*25=150. Then do addition and do 150+3=153

Step-by-step explanation:

5) 10³= 1,000

6)(-7)⁴= 7⁴= 2401

8)3+6* (-5) to the second= 3+6* (5) to the second= 3+6* 25= 6*25= 150+3= 153

Answer to 8 is= 153

I hoped this helped you :D

Answer:

3x - 4 = 20

3x = 20 + 4

3x = 24

x = 24/3

x = 8

Answer:

[tex]3x - 4 = 20 \\3x = 20 + 4 \\ 3x = 24 \\ 3x \div 3 = x \\ 24 \ \div 3 = 8 \\ x = 8 [/tex]

Answer:

hmmm

Step-by-step explanation:

not sure man

Answer:

85

Step-by-step explanation:

He has 170 correct answers, so 170 * 0.5 = 85 points  #0.5 points per 1 question

Answer:

2x^3  +7x^2+3x-2

Step-by-step explanation:

3x^3 +7x^2 -x

- ( x^3 -4x +2)

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

The first step is to line up the variables by degree

 3x^3 +7x^2 -x

- ( x^3           -4x +2)

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

Then distribute the minus sign

 3x^3 +7x^2 -x

-  x^3           +4x -2

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

2x^3  +7x^2+3x-2

Answer:

Composite area is 400+157=557

or 400 + 50pi

Step-by-step explanation:

First find the area of the square

A=s*s A= 20*20

Area of the square portion is 400

then find the area of the semicircle- we know the diameter of the circle is 20, so the radius is 10.

[tex]A=\frac{1}{2} \pi r^{2}[/tex]

so

[tex]A=\frac{1}{2} \pi 10^{2} \\A=\frac{1}{2}\pi 100\\A=50\pi \\A= 157[/tex]

Composite area is 400+157=557

or 400 + 50pi

Answer:

169.28

Step-by-step explanation:

18.4x9.2=169.28

Answer:

$525.13

Step-by-step explanation:

cost per month = total expenses /  months in a year

total expenses = fixed cost + variable cost

$2,125.10 + $4,176.43 = $6,301.53

cost per month = $6,301.53/ 12 = $525.13

Answer:

i got 21/1

Step-by-step explanation:

Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of the dolphin after t seconds is given by:

[tex]h(t) = -16t^2 + 96t - 128[/tex]

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which [tex]h(t) = 0[/tex] it crosses the surface upwards, and then the second time for which [tex]h(t) = 0[/tex] it crosses the surface downwards.

We have to find these roots. So

[tex]h(t) = -16t^2 + 96t - 128[/tex]

[tex]-16t^2 + 96t - 128 = 0[/tex]

Multiplying by -16

[tex]t^2 - 6t + 8 = 0[/tex]

[tex]\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4[/tex]

[tex]t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]

[tex]t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]

4 - 2 = 2

The dolphin will be above the surface of the water for 2 seconds.

Answer:

!

Step-by-step explanation:

here it is!!!!!!!!!!!!!!!

Answer: 2,16

Step-by-step explanation:

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

49°

Step-by-step explanation:

since its a right angle that just subtract from 90

90-41= 49

Answer:

49

Step-by-step explanation:

Because of the square at O, we know that angle XOZ is a right angle and is 90°.

Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.

x = 90 - 41

x = 49

Answer:

99.9973 %

Step-by-step explanation:

This is a binomial probability distribution.

Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.

Since there are 3 welds and we require at least one being defective, our binomial probability is

P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × ‭0.000027‬ × 1 = 1 - 0.000027 = 0.99997‬3 × 100% = 99.9973%