Is the sequence 2, 4, 8, 16, ... arithmetic? If so, find the common difference.

Turn over into vertex form

Solving

Open brackets

Accurating

Compare to Vertex form y=a(x-h)²+k

Vertex

Max profit is $897.5

Answer:

$7.50

Step-by-step explanation:

Completing the square formula

[tex]\begin{aligned}y & =ax^2+bx+c\\& =a\left(x^2+\dfrac{b}{a}x\right)+c\\\\& =a\left(x^2+\dfrac{b}{a}x+\left(\dfrac{b}{2a}\right)^2\right)+c-a\left(\dfrac{b}{2a}\right)^2\\\\& =a\left(x-\left(-\dfrac{b}{2a}\right)\right)^2+c-\dfrac{b^2}{4a}\end{aligned}[/tex]

[tex]\begin{aligned}P & =-30t^2+450t-790\\& =-30\left(t^2+\dfrac{450}{-30}t\right)-790\\\\& =-30\left(t^2+\dfrac{450}{-30}t+\left(\dfrac{450}{2(-30)}\right)^2\right)-790-(-30)\left(\dfrac{450}{2(-30)}\right)^2\\\\& =-30\left(t-\left(-\dfrac{450}{2(-30)}\right)\right)^2-790-\dfrac{450^2}{4(-30)}\\\\& =-30(t-7.5)^2+897.5\end{aligned}[/tex]

Therefore, the vertex is (7.5, 897.5)

So the ticket price that maximizes daily profit is the x-value of the vertex:  $7.50                    

Answer:

(it won't let me paste a graph here)

(but it a / line on the graph.)

Step-by-step explanation:

Use Desmos Graphic Calculator, plot this equation in and it should show up a graph of that. : )

Answer:

Step-by-step explanation:

EH=w

then it is as simple as pluggin in

gh=4(eh)-51

Since both x + 1 and x - 1 are factors of f(x), we have the factorization

x³ + 2ax + b = (x + 1) (x - 1) (x - b)

where the last root must be x = b in order that b is the constant term in the cubic.

Expanding the right side and equating coefficients gives

x³ + 2ax + b = x³ - bx² - x + b

which tells us

-b = 0   ⇒   b = 0

2a = -1   ⇒   a = -1/2

Then we have

f(x) = x³ + 2 (-1/2) x + b = x³ - x

or

f(x) = x (x + 1) (x - 1)

Answer: The Sun

Step-by-step explanation:

Energy has existed from the beginning of time. The sun was the initial source of energy, providing heat and light during the day. People used light to wake up and sleep, depended on wood and dung for heat, and water power to run primitive mills.

Based on the number of beads that are needed to make a jewelry set, the largest number of jewelry sets that Sarah can make with 7,100 beads is 97 jewelry sets.  

First find the total number of beads used per jewelry set:

= Necklace + Bracelet + Earrings

= 48 + 19 + 6

= 73 beads

If she had 7,100 beads, the sets she could make would be:

= Total number of beads / Beads per set

= 7,100 / 73

= 97 jewelry sets

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Answer:

Step-by-step explanation:

Remark

The longer the line, the larger the arc is. So

How to put in order.

It can be shown that the angle opposite the chord is related to the arc length by α = arc length / r  Since r never changes, you are left with

α = k * chord length.

So what you conclude is that the larger the angle, the larger the arc length.

The largest angle is Q so the length of the arc opposite Q is the largest. The other two lines are handled the same way.

Answer:

Answer:

BD

Step-by-step explanation:

Using translation concepts, it is found that the equation of F(x) could be given by:

A. F(x) = -x² - 4.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function g(x) = x² was reflected over the x-axis and shifted 4 units down, hence f(x) is given by:

A. F(x) = -x² - 4.

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The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The Margin of error in this survey is 1%.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

The random sample of 2500 sports fans, out of which 61% prefer basketball over soccer, therefore, we can write n=2500 and p=0.61. Thus, the margin of error can be written as,

[tex]MOE=\sqrt{\dfrac{\hat p(1-\hat p)}{n}} = \sqrt{\dfrac{0.61(1-0.61)}{2500}} = 0.00975 = 0.975\% \approx 1\%[/tex]

Hence, the Margin of error in this survey is 1%.

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Answer:

181.5 miles

Step-by-step explanation:

  80 2/3   m/hr  *   2  1/4 hr = 181. 5 miles

A probability of 1 means that the event will happen. If the probability of a road traffic accident was 1 there would be nothing you could do to stop it.

that's my answer

Answer:

See below

Step-by-step explanation:

We can find the Highest Common Factor (HCF) by the prime factorization of the terms.

===============================================================

a) 4 and 5

⇒ 4 = 4 x 1

⇒ 5 = 5 x 1

⇒ HCF (4, 5) = 1

=============================================================

b) 8 and 13

⇒ 8 = 2 x 2 x 2 x 1

⇒ 13 = 13 x 1

⇒ HCF (8, 13) = 1

=============================================================

i) 80 and 120

⇒ 80 = 40 x 2

⇒ 120 = 40 x 3

⇒ HCF (80, 120) = 40

    See attached. The box-and-whisker plot gives us all the information we need to solve.

Minimum: 13

Maximum: 35

Range: 22

-> 35 - 13 = 22

Median: 20.5

????????

Step-by-step explanation:

1,1,1

Step-by-step explanation:

this is again a combined object.

at the bottom there is a cylinder.

and on top there is half of a sphere (I assume it is a sphere, because there is no additional information about its height, and we could therefore not solve this otherwise).

for the total volume we need to calculate both volumes and add these results.

for the total surface area we need to calculate both surface areas, but remove the top surface area of the cylinder, because the half-sphere is covering it.

so, let's start with the volume :

the volume is a cylinder is

ground area × height = pi×r² × height

the radius is half of the diameter, so, r = 18/2 = 9 ft.

in our case that gives us

pi×9² × 10 = pi×81 × 10 = 810×pi = 2,544.690049... ft³ ≈

≈ 2,544.7 ft³

the volume of a sphere is

pi×r³ × 4/3

and of a half-sphere therefore

pi×r³ × 4/3 / 2 = pi×r³ × 2/3 = pi×9³ × 2/3 = pi×9² × 2 =

= pi×81 × 2 = 162×pi = 508.9380099... ft³

≈ 508.9 ft³

the total volume is then

3,053.628059... ft³ ≈ 3,053.6 ft³

the surface area :

the surface area of a cylinder is

the areas of the circles on the top and the bottom (but here we need only the bottom) plus the area of the lateral side area, the "mantle", which is the circumference of the basic circle times height.

so, in our case we get

pi×r² + 2×pi×r×height

pi×9² + 2×pi×9×10 = 81pi + 180pi = 261pi =

= 819.9556826... ft² ≈ 820 ft²

the surface area of a sphere is

4×pi×r²

and therefore if a half-sphere

4×pi×r² / 2 = 2×pi×r²

in our case

2×pi×9² = 2×pi×81 = 162pi = 508.9380099... ft²

≈ 508.9 ft²

the total surface area is then

1,328.893692... ft² ≈ 1,328.9 ft²

Answer:

x² - 22x + y² - 6y + 121 = 0

Step-by-step explanation:

General Form of Equation

Solving

Answer:

(x+11)2+(y−3)2=81

mark me brainliest

Step-by-step explanation:

Answer:

I believe it would be C

Step-by-step explanation:

71+36=107

180-107=73

it don't make sense for it to be right because none of the angles are 90°

Answer:

181.06

Step-by-step explanation:

Answer: There are infinite solutions.

Step-by-step explanation:

3(2x-4) = 2(3x-6)

6x - 12 = 6x - 12

-12 = -12

0 = 0

Answer:

36 degrees

Step-by-step explanation:

We do bottom triangle first:

33+90=123. 180-123=57

Go to upper tri: 90-57=33

111+33=144. 180-144=36.

?=36 degrees

Hope it helps

Answer:Which four inequalities can be used to find the solution to this absolute value inequality?3+2|x-11 <9

2(x - 1) <-3

x-1 <9

X-1 >-9

-2(x - 1) > 3

x-1-3

X-1 <3

Step-by-step explanation:

There is no document, so nobody could answer.

Answer:

Problem 20: [tex]m[/tex] = [tex]2[/tex]

Problem 21: [tex]m[/tex] = [tex]-2[/tex]

Problem 22: [tex]m[/tex] = [tex]1[/tex]

Problem 23: [tex]m[/tex] = [tex]3[/tex]

Step-by-step explanation:

The formula to find the slope of a line: [tex]m = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex].

Problem 20:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{3-7}{2-4}[/tex]

[tex]m[/tex] = [tex]\frac{-4}{-2}[/tex]

[tex]m[/tex] = [tex]2[/tex]

Problem 21:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{-5-1}{2--1}[/tex]

[tex]m[/tex] = [tex]\frac{-6}{3}[/tex]

[tex]m[/tex] = [tex]-2[/tex]

Problem 22:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{3-7}{-6--2}[/tex]

[tex]m[/tex] = [tex]\frac{-4}{-4}[/tex]

[tex]m[/tex] = [tex]1[/tex]

Problem 23:

1) Substitute the values into the formula and solve it.

[tex]m[/tex] = [tex]\frac{-4-2}{-4--2}[/tex]

[tex]m[/tex] = [tex]\frac{-6}{-2}[/tex]

[tex]m[/tex] = [tex]3[/tex]

*Extra*: The equation of a line is written in this form: [tex]y = mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is [tex]y[/tex]-intercept

Answer: 22

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

because there's only enough space for that many in each row.

Answer:qjs

Step-by-step explanation:

A

X= -7 to 1

Y= -8 to 9

B

X= -40 to 20

Y= -30 to 10

Answer:

Mixed Doubles Tennis

Step-by-step explanation:

The key word is "mixed." In this case it means a male and female competitor