What are the graph coordinates of the vertex of the graph function y=x^2+6x-11

Answer:

5381.6

Step-by-step explanation:

[tex](2.1 × 1016) + (3.2 × 1015)[/tex]

[tex] = 5381.6[/tex]

Answer:

Below in bold.

Step-by-step explanation:

- 5 - x^2 = -10

-x^2 = -10 + 5

-x^2 = -5

Divide through by -1:

x^2 = 5

x = -√5, √5.

Answer:

140 liters

Step-by-step explanation:

Felicia pours 34 out of 212 liters of chlorine solution into a swimming pool

= 212-34

= 178 liters

He uses 38 liters out of the remaining solution to clean the pool filter

178-38

= 140

Hence what is left is 140 liters

The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

The function is given as:

H(t) = 12sin(2π/24t) + 15

When the weight is 17kg.

It means that:

H(t) = 17

So, we have:

H(t) = 12sin(2π/24t) + 15 and H(t) = 17

Next, we solve for t using a graphing calculator

From the graph of h(t), we have:

t = 0.64, 11.36, 24.64...... when h(t) = 17

The second time in the above list is

t = 11.36

Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

Read more about sine function at:

https://brainly.com/question/9565966

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Answer:

Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Step-by-step explanation:

Vector equation of a line passing through two points A & B is : r = a + λ(b - a)

Given A = (9,9,2) ; B = (1,3,5)

Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]

= 9i + 9j + 2k + λ ( -8i + -6j + 3k)

= 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Answer:

the correct answer is D 175

Answer:

108

Step-by-step explanation:

A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.

Answer:

3/13

Step-by-step explanation:

There are 52 cards in a regular deck.

Among these are 4 each of K, Q and A, for a total of 12.

The probability of choosing a K, Q or A is therefore 12/52, or 3/13

Answer:

the first one 3/13 for sure :))

Answer: SHEEEESHOOOOOO yesssirrrr big brainnnnnnn :clap clap:

Answer:

-5

Step-by-step explanation:

4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

Answer:

1250(pi) ft^3

or

3926.99 ft^3

Step-by-step explanation:

[tex](\pi {5}^{2} ) \times 50[/tex]

you have to put feet cubed at the end for units

Answer:

She would save 4 kilometers

Step-by-step explanation:

Use pythagorean theorem

12² + 5² = 169

[tex] \sqrt{169} = 13[/tex]

17-13 = 4

Answer:

Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.

Step-by-step explanation:

Answer:

graphs help present data in a quick and easy way, take out the most important facts and and help them be easily remembered. Graphs can be used to help make a buget. They can also help you when you are doing a presentation or report. Or even when you need to make a hard decision.

This is what I did hopefully this helps :))

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT =  15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

Answer:

Average daily balance ≈ $873

Step-by-step explanation:

We are told the balance were;

$1,000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for 7 days

Thus;

Average = ΣFx/Σx

Where ΣFx = (1000 × 9) + (750 × 10) + (850 × 4) + (900 × 7)

ΣFx = $26,200

Σx = 9 + 10 + 4 + 7

Σx = 30

Thus;

Average daily balance = 26200/30

Average daily balance ≈ $873

Answer:

9(1,000) + 10(750) +4(850) + 7(900)

                          (30)

Step-by-step explanation:

Answer:

[tex]C)~2~in[/tex]

Step-by-step explanation:

[tex]v=4/3 \pi r^3[/tex]

[tex]4=4/3~\pi r^3[/tex]

[tex]12/4\pi =r^3[/tex]

[tex]\sqrt{3/\pi } =\sqrt{r^3}[/tex]

[tex]0.977=r[/tex]

[tex]D=2r[/tex]

[tex]D=2(0.977)[/tex]

[tex]D=1.9544~orD=2~in[/tex]

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

hope it helps...

have a great day!!

Answer: there are 8 girls is Lisa’s class

Step-by-step explanation:

Answer:

There are 8 girls in Lisa's class because 60% of 20 is 12 so the other 40% is the remaining number of students since you took away twelve and set it aside  since it is the 60% . 12 plus 8 equals twenty and twenty students equals 100% percent.

Step-by-step explanation:

Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

Answer:

Every number will have a 0 or 5 in its ones place

Step-by-step explanation:

Answer:

D. Every number in the pattern will have a 0 or 5 in the ones place

Step-by-step explanation:

the next to numbers are 50,25 so all numbers have 0 in the ones place except for 25 which has a 5.

Answer:

8.3units

Step-by-step explanation:

formula 2πr × x/360

where x= angle of sector

therefore

2× 22/7 × 14 × 34/360 = 8.3

Answer:

they reflected over the y axis instead of the x.

Answer:

X=4

Step-by-step explanation:

30x+5=31x+1

x=4

Answer:

1,156 I think that’s right

Step-by-step explanation:

Answer:

A. The others are equivalent to 7/8