Rewrite the equation by completing the square.

2 x^2 -11 x +14 = 0

Answer:

33

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

one snake a week

52 weeks in a year

4 years

52*4=208

Answer:

l = x · c / 360

l = 72 · 20 / 360

l = 1440 / 360

l = 4

Step-by-step explanation:

1. write down the arc length formula.

2. replace x and c by their values

3. multiply and then divide to get l

Answer:

2880 m

Step-by-step explanation:

find the area under the graph. i have split it into 3 areas A, B and C

A (trapezium) = 1/2 x (150 + 160) x 15 = 2325

B (trapezium) = 1/2 x (15 + 6 ) x (160 - 110) = 525

C (triangle) = 1/2 x 10 x 6 = 30

total = 2325 + 525 + 30 = 2880

Answer:

-194, -97, -48.5

Step-by-step explanation:

-3,104 ÷2 is -1,552. I divided each number by 2.

Answer:

The values are k = -2 and c = 1

Step-by-step explanation:

Since it's a division of polynomials we can calculate "c" and "k" by using the inverse operation, which is the product. We need to multiply "x + k" with "3x + 1" and sum it with 3, that should be equal to "3x² - 5x + c". We have:

[tex]3x^2 - 5x + c = (x + k)*(3x + 1) + 3\\3x^2 - 5x + c = 3x^2 + x + 3kx + k + 3\\3x^2 - 5x + c = 3x^2 + (1 + 3k)x + (k+3)[/tex]

In order for two polynomials to be equal, every coefficient must be equal, therefore:

[tex]-5 = 1 + 3k\\1 + 3k = -5\\3k = -5 -1\\3k = -6\\k = -2[/tex]

[tex]c = k + 3\\c = -2 + 3\\c = 1[/tex]

Answer:

4 pack priced at £2.04 is the better pack

Step-by-step explanation:

2.04/4=£0.51 per roll

4.68/9=£0.52 per roll

I think the 9pack is better

I hope it was helpful to you

Answer:

16

Step-by-step explanation:

Answer:

y = -x-2

Step-by-step explanation:

We are given a slope of -1 and the y intercept of -2

The slope intercept form of the equation for a line is

y = mx+b

where m is the slope and b is the y intercept

y = -1x +-2

y = -x-2

Answer:

y=-x -2

Step-by-step explanation:

Slope-intercept form is

y=mx+b

where m is the slope and b is the y-intercept

We know that the slope is -1. We also know that the y-intercept is (0, -2). For this form, we can disregard the 0, and say the y intercept is just -2.

So, m is -1, and b is -2. Substitute the values into the equation.

y=mx+b

y=-1x+-2

Simplify

y= -x -2

This is the equation of the line in slope-intercept form.

Answer:

As shown in picture:

A(-4, 1)

Z(-2, 3)

P(3, -4)

The length of AZ is calculated by:  

L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83

The length of AP is calculated by:

L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60

THe length of ZP is calculated by:

L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60

=>Perimeter of triangle AZP is calculated by:

P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3

Hope this helps!

:)

Answer:

Sharing cone holds 9 times more popcorn than a skinny cone.

Step-by-step explanation:

Height of each cone = 9 inches

Radius of the sharing size cone = 3 times radius of the skinny size cone

Let the radius of skinny size cone = r

Then radius of the sharing size cone = 3r

Volume of the sharing size cone = [tex]\frac{1}{3}(\pi )(\text{Radius})^{2}(\text{Height})[/tex]

                                                     = [tex]\frac{1}{3}(\pi )(3r)^{2}(9)[/tex]

                                                     = 27πr²

Volume of the skinny size cone = [tex]\frac{1}{3}(\pi )(\text{Radius})^{2}(\text{Height})[/tex]

                                                       = [tex]\frac{1}{3}(\pi )(r)^{2}(9)[/tex]

                                                       = 3πr²

Ratio of the volumes = [tex]\frac{\text{Volume of sharing size cone}}{\text{Volume of skinny size cone}}[/tex]

                                   = [tex]\frac{27\pi r^{2}}{3\pi r^{2} }[/tex]

                                   = 9

Therefore, sharing cone holds 9 times more popcorn than a skinny cone.

Answer:

Probably Dog.

Step-by-step explanation:

Since there is more dogs than anything else, it would probably be a dog.

Answer:

Total pets  available

20 pets

Cat  0.2 --> 20%

Dog  0. 35  --> 35%

Snake   0.05 --> 5%

Rabbit  0.15 --> 15%

Bird 0.25--> 25%

Step-by-step explanation:

Total pets are:

cats + dogs + snakes + rabbits + birds

4 + 7 + 1 + 3 + 5 = 20 pets available for adoption

To find probability dived the number available of each  pet by the total number of pets available.

Cat

4/20 = 0.2 --> 20%

Dog

7/20 = 0. 35  --> 35%

Snake

1/20 =  0.05 --> 5%

Rabbit

3/5 = 0.15 --> 15%

Bird

5/20 =0.25--> 25%

Answer:

1 and a half quarts

Step-by-step explanation:

Answer: He drank 3/8 quart.

Step-by-step explanation:

3/4 * 1/2 = 3/8  

Answer:

the answer is a

Step-by-step explanation:

Answer: 1/36

Explanation: In this problem, we're given that a number cube is rolled twice and we're asked to find the probability of rolling a 4 and a 4.

It's important to understand that the two rolls of the number cube are independent events because the results of one role does not affect the results of the other roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

So let's first find the probability of rolling

a 4 with our first role of the number cube.

We can find the probability of an event using the following ratio:

number of favorable outcomes over total number of outcomes

Since there's only one way to roll a 4 and there are six possible outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 4 is 1/6.

Next, we find the probability of rolling a 4 with our second roll of the number cube, which would also be 1/6.

Now, to find the probability of rolling a 4 and a 4,

we simply multiply the probabilities.

Now multiply 1/6 x 1/6 by multiplying across the top and bottom.

This gives us 1/36.

So the probability or likelihood of rolling a 4 two times in a row is 1/36.  

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

% change = difference / original x 100

% change = (0.75 / 2.5) x 100

% change = 30%

It was a 30% change

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

They are 30% less

Step-by-step explanation:

2.5:100=0.75:x

Answer:

The answer is 15

Step-by-step explanation:

could be 15 but (three times) is geting me off

sorry if i was no help and all the number's wow

Answer:

x=1, y=2

Step-by-step explanation:

2x+y =4

y = 2x

Substitute the second equation into the first

2x+ (2x) = 4

Combine like terms

4x = 4

4x/4 = 4/4

x = 1

Now find y

y = 2x

y = 2(1)

y = 2

Answer:

a. 264.5

b.40.375

c.0.1

d.0.8

e.7656

f.500

Step-by-step explanation:

a. [tex]\frac{115}{100}*230=\frac{26450}{100}=264.5[/tex]

b.[tex]\frac{80*4+3/4}{100}*50=\frac{323/4}{100}*50=\frac{323/4*50}{100}=\frac{4037.5}{100}=40.375[/tex]

c.[tex]\frac{500}{100}*0.02=5*0.02=0.1[/tex]

d.[tex]\frac{1/10}{100}*800=1/10*1/100 *800=\frac{1}{1000}*800=\frac{800}{1000}=0.8[/tex]

e.[tex]\frac{63*5+4/5}{100}*12000=\frac{319/5}{100}=12000=319/5*1/100*12000=319/500*12000=\frac{319*12000}{500}= \frac{3828000}{500}=7656[/tex]

f.[tex]\frac{0.05}{100}*1000000=\frac{0.05*1000000}{100}= \frac{50000}{100}=500[/tex]

Answer:

The radius of the water bottle is 2.25 cm

Step-by-step explanation:

The water bottle is said to be cylindrical, so its volume can be expressed as the volume of a cylinder.

Volume of a cylinder V = πr^2 h

Where;

h = height

r = radius

Making the radius the subject of formula;

r^2 = V/πh

r = √(V/πh)

Given:

Volume V = 121 cm^3

height h = 7.6 cm

π = 3.14

Substituting the given values;

r = √(121/(3.14×7.6))

r = 2.25 cm

The radius of the water bottle is 2.25 cm

Answer:

tanA = 12/5

Step-by-step explanation:

Answer:

for 9, the answer is 246.49

Step-by-step explanation:

This is area of a circle correct?

The formula is PI x radius squared.

3.14 x the radius, which is 5, squared

I am re-editing this

so sorry the answer is actually 78.54

The reason why it is 78.54 is that you need to square the radius before multiplying with PI.

Step-by-step explanation:

okay, so the area of a circle can be found with the formula πr^2

this means you have to square the radius of the circle and multiply it by pi to find your answer.

9) r=5

πr^2

π(5)^2 = 25π or about 78.54cm^2

this is how you get the area of all other circles!

10) r=9

πr^2

π(9)^2 = 81π or about 254.47mi^2

11) r=8

πr^2

π(8)^2 = 64π or about 201.06mi^2

12) r=4.5

πr^2

π(4.5)^2 = 20.25π or about 63.62in^2

13) r=6.6

πr^2

π(6.6)^2 = 43.56π or about 136.85yd^2

14) r=2

πr^2

π(2)^2 = 4π or about 12.56cm^2

15) r=9

πr^2

π(9)^2 = 81π or about 254.47in^2

16) r=7

πr^2

π(7)^2 = 49π or about 153.94km^2

Answer:

A=94

Step-by-step explanation:

Length: 5

Width: 4

Height: 3

Shape: Rectangle prism

Solved for surface area

Formula: A=2(wl+hl+hw)

Formula: L*W*H

Answer: A=94

Hope this helps.

Answer:

1.5

Step-by-step explanation:

Answer:

in triangle

tan60°=3/x

√3=3/x

x=(√3×√3)/√3=√3

Answer:

Step-by-step explanation:

Sometimes  hope that helps you and hope you pass : >

Answer:

Always

Step-by-step explanation:

- Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

- Parallel lines are congruent and so their measure will ALWAYS be the same

Step-by-step explanation:

sorry what is the question?

Answer:

The correct answer is option

[tex]d.\ x=-i, i, 3 \sqrt{5}\ or\ -3 \sqrt{5}[/tex]

Step-by-step explanation:

The given equation has a degree 4  (Highest power of [tex]x[/tex]):

[tex]x^4-44x^2-45=0[/tex] is the given equation which can be written as:

[tex](x^2)^2-44x^2-45=0 ...... (1)[/tex]

Let [tex]t=x^{2}[/tex] and putting it in equation (1):

[tex]t^2-44t-45=0 \\[/tex]

Solving the above quadratic equation in variable [tex]t[/tex]:

[tex]\Rightarrow t^2-45t+t-45=0 \\\Rightarrow t(t-45)+1(t-45)=0\\\Rightarrow (t+1)(t-45)=0\\\Rightarrow t =-1\ or\ 45[/tex]

We know that [tex]t=x^{2}[/tex]

So, [tex]x^{2} =-1\ or\ x^{2}= 45[/tex]

1. Solving [tex]x^{2} =-1[/tex]

[tex]\Rightarrow x = +\sqrt{-1}\ or\ -\sqrt{-1}\\\Rightarrow x = i\ or\ -i[/tex]

2. Solving [tex]x^{2} =45[/tex]

[tex]\Rightarrow x = +\sqrt{45}\ or\ -\sqrt{45}\\\Rightarrow x = 3\sqrt{5}\ or\ -3\sqrt{5}[/tex]

Hence, correct answer is:

[tex]x=-i, i, 3 \sqrt{5}\ or\ -3 \sqrt{5}[/tex]

Answer:

D

Step-by-step explanation:

Edgenuity

Answer:

36cm. sq.

Step-by-step explanation:

Answer:

-4a^4b^2

Step-by-step explanation:

-4a^7b^6/a^3b^4

-4a^4b^6/b^4

-4a^4b^2

Answer:

  18.8 m²

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . . . r is radius, θ is the central angle in radians

To convert an angle in degrees to one in radians, multiply by π/180°.

Your 135° sector has an area of ...

  A = (1/2)(4 m)²(135°)(π/180°) = 6π m²

  A ≈ 18.8 m²

Answer:

work is shown and pictured