20x^2-12x-8
a. (10x+2) (2x+5)
b.(5x+2) (4x-4)
c. (5x-2) (4x+4)
d. (10x-2) (2x-5)

Answer:

Where are the dimensions?

Answer:

To get maximum area, the dimensions will be;

l = 200 and b = 100

Step-by-step explanation:

Given the data in the question;

No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.

now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x

as shown in the image below;

so,

Area of rectangle = (400 - 2x) × x = 400x - 2x²

now, to maximize area 'A', we will make A' = 0

⇒ 400 - 2(2x) = 0

400 = 4x

x = 400/4 = 100

so

⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200

∴ Maximum area = ( 400 - 2x) × x

= 200 × 100

= 20000 m²

∴ To get maximum area, the dimensions will be;

l = 200 and b = 100

Answer:

Rounded to the nearest cubic unit, the tank can hold 8,139 cubic meters of water.

Step-by-step explanation:

Given that a water storage tank has a cylindrical shape, and the base has a diameter of 18 m and the tank is 32 m high, to determine how much water can the tank hold, the following calculation must be performed, knowing that the volume of a cylinder is obtained by multiplying the number pi by the radius squared of the cylinder, and this result by its height:

V = Pi x (radius x radius) x height

Radius = 1/2 diameter = 9

V = 3.14 x (9 x 9) x 32

V = 3.14 x 81 x 32

V = 254.34 x 32

V = 8,138.88

Thus, rounded to the nearest cubic unit, the tank can hold 8,139 cubic meters of water.

Answer:

Equation: 3x-5=10

Answer: X=5

Step-by-step explanation:

3 times a number (represented as X) and 5 (means subtract by 5)

3x-5=10

Add 5 on both sides

3x=15

X=5

Answer:

3(5) - 5 = 10  

15 - 5 = 10  

10 = 10 x = 5

Step-by-step explanation:

Three times a number is 3x because you do not know the number.  

Add five to both sides of the equation.  

Divide both sides of the equation by 3 and the solution is x = 5

Answer:

0.03

Step-by-step explanation:

.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03

Answer:

0.03

Step-by-step explanation:

The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.

Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.

Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.

Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.

Step-by-step explanation:

x+100°=180°{being straight angle}

x=180-100

x=80°

again,

45°+x+y=180°{sum of angle of triangle}

45+80+y=180

y=180-125°

y=55°

hope it helps.

Answer:

Vertex = (-1, 2)  

Maximum

Step-by-step explanation:  

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

Please mark Brainliest if this was helpful :)

Answer:

1470

Step-by-step explanation:

Answer:

Constant

Step-by-step explanation:

there numbers with no variables next to them and coefficient's do. :)

Answer:

constant

Step-by-step explanation:

9514 1404 393

Answer:

  sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

  csc² = 1 +cot²

  sin = 1/csc

_____

For the given values, we find ...

  csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

  csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

  sin(∅) = -1/√65 = (-√65)/65

Answer:

Step-by-step explanation:

C = 90° (right angle)

A = 27°

3 angles are added to result in 180° (property of triangle)

Therefore B =

180 - (90 + 27) =

180 - 117 =

63°

E = 90° (right angle)

D = 31°

3 angles are added to result in 180° (property of triangle)

Therefore F =

180 - (90 + 31) =

180 - 121 =

59°

____________________

#IndonesianPride - kexcvi

Answer:

B= 63

F= 59

Step-by-step explanation:

a+ b+ c= 180

27+b+ 90=180

117+b=180

180-117=b

B= 63

D+E+F=180

31+ 90+ F=189

121 +F=180

180-121= F

F= 59

Answer:

-10

Step-by-step explanation:

5(a - b) =

= 5(-4 - (-2))

= 5(-4 + 2)

= 5(-2)

= -10

Answer:

m<1 = 26°

m<2 = 154°

m<3 = 26°

m<4 = 26°

m<5 = 154°

m<6 = 154°

m<7 = 26°

Step-by-step explanation:

What is required was not stated, however, let's find the value of every angle labelled in this diagram.

✔️m<1 = 180° - 154° (linear pair theorem)

m<1 = 26°

✔️m<2 = 154° (vertical angles theorem)

m<2 = 154°

✔️m<3 = m<1 (vertical angles theorem)

m<3 = 26° (substitution)

✔️m<4 = m<3 (alternate interior angles theorem)

m<4 = 26° (substitution)

✔️m<5 = m<2 (alternate interior angles theorem)

m<5 = 154° (substitution)

✔️m<6 = m<5 (vertical angles theorem)

m<6 = 154° (substitution)

✔️m<7 = m<4 (vertical angles theorem)

m<7 = 26° (substitution)

Answer:

The correct answer is 5.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:V=whl

Step-by-step explanation:

all you have to do is multiply width times length times height

1 1/2 × 1 1/2 × 1 1/2= 3/2 × 3/2 × 3/2 = 27/ 8

simplify to

3 3/8

hope this was helpful:)

Answer:

12.

Step-by-step explanation:

Answer:

i think its a trick question

Step-by-step explanation:

theres no way theres a righr answer the 20$ on is always ahead

Answer:

1) Jackson Heights population = 100,000

2) Elmhurst population = 64,000

Step-by-step explanation:

1) 80,000 x 1.25 = 100,000

2) 80,000/1.25 = 64,000

Answer:

a.. 8% of ? = 20    240

b.75% of ? = 30    40

c. 20% of ? = 45   225

d. 150% of ? = 36  24

The steps of  answer is in attached file

Hope it helps..

Have a great day : )

Answer:

AMEN

Step-by-step explanation:

.

Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± [tex]Z_{95%}[/tex] ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = [tex]\overline{x}[/tex] =1.99

Standard deviation of population= [tex]\sigma[/tex] = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]

Learn more here:

https://brainly.com/question/2396419

Answer:

Just Plus the 2 Given and Minus in the 360 Because 360 It has a Fourside The Answer is 168degrees

Answer:

yes

Step-by-step explanation:

Sugar and water amounts used change proportionately.