A spinner has four equal sections labeled W, X, Y, and Z. A fair coin has faces labeled heads and tails. Edward will spin the arrow of the spinner and flip the coin one time each. What is the probability the arrow will land on the section labeled Z and the coin will land with heads face-up?
A: 1/8
B: 1/4
C: 1/3
D: 1/2

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49

Answer:

C : VALID

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

-37 / 4

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

Answer:

using the formula of slope tangent form

y2-y1=m(x-x1)

where m=slope,(x1, y1) is point

given

m=-1/4

(x1, y1)=(4,7)

equation of line is

y-7=-1/4(x-4)

y=-x/4+8

Answer:

(a) The units of f'(s) is kilometer per liter

(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]

Step-by-step explanation:

Given

[tex]C = f(s)[/tex]

[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]

Solving (a): Unit of f'(s)

From the question, we understand that:

[tex]C = f(s)[/tex]

and

[tex]C = Litre/km[/tex] --- units

f'(s) is the inverse of C.

Hence:

i.e.

[tex]f'(s) = C^{-1}[/tex] --- units

So, we have:

[tex]f'(s) = (Litre/km)^{-1}[/tex]

[tex]f'(s) = Km/Litre[/tex]

Solving (b): Instantaneous rate of change at:

[tex]s = 90[/tex]

We have:

[tex]C = f(s)[/tex]

The change is calculated as:

[tex]\triangle = \frac{f(s)}{s}[/tex]

Substitute 90 for s

[tex]\triangle = \frac{f(90)}{90}[/tex]

Given that: [tex]f(90) = 0.02[/tex]

[tex]\triangle = \frac{0.02}{90}[/tex]

[tex]\triangle = 0.000222[/tex]

[tex]\triangle = 2.22 * 10^{-4}[/tex]

Answer:

[tex]\sqrt[4]{768x^8y^5} = 4x^2y \sqrt[4]{3y}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[4]{768x^8y^5}[/tex]

Required

Simplify

We have:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Expand 768

[tex]\sqrt[4]{768x^8y^5} = \sqrt[4]{256 * 3 * x^8y^5}[/tex]

Split

[tex]\sqrt[4]{768x^8y^5} = \sqrt[4]{256} * \sqrt[4]{3 * x^8y^5}[/tex]

[tex]\sqrt[4]{256} = 4[/tex]

So, we have:

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3 * x^8y^5}[/tex]

Expand y^5

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3 * x^8*y *y^4}[/tex]

Rewrite as:

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3*y * x^8 *y^4}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y * x^8 *y^4}[/tex]

Split

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * \sqrt[4]{x^8 *y^4}[/tex]

Apply the following law of indices

[tex]\sqrt[a]{b} = b^\frac{1}{a}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * (x^8 *y^4)^\frac{1}{4}[/tex]

Expand

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * x^{8*\frac{1}{4}} *y^{4*\frac{1}{4}}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * x^2y[/tex]

Rewrite as:

[tex]\sqrt[4]{768x^8y^5} = 4* x^2y* \sqrt[4]{3y}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4x^2y \sqrt[4]{3y}[/tex]

Answer:

−f(x)=2x+90f

Step-by-step explanation:

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

Step-by-step explanation:

BED is the same angle as AEC

CEB is 180 - 150 (AEC) =30

8

Step-by-step explanation:

8 × $70 = $560

20 × $140= $2800

$560 + $2800 = $3360

Answer:

35%

Step-by-step explanation:

This is simple, just use the formula: Number1 / Number 2 x 100 when you use it it will look like: 56/160x100 which 56/100 is 0.35 and 0.35x100 is 35%

Answer:

options?

Step-by-step explanation:

It would be any number that is less than 16 because starting with the original question:

x-6>10

By canceling out the -6:

x-6+6 > 10+6

x > 16

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

For (1, 1),

[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]

[tex]\frac{1+4}{16}\leq 1[/tex]

[tex]\frac{5}{16}\leq 1[/tex]

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]1+\frac{1}{4}\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+1\leq 1[/tex]

[tex]1\frac{1}{16}\leq 1[/tex]

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{4}+1\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

Answer:

504 in.^2

Step-by-step explanation:

Area = base times height

Answer:

    1,080 in.2

    1,260 in.2

✔ 1,620 in.2

    2,160 in.2

or C for the lazy people, don't sweat it - im lazy too

Answer:

Yes.

Step-by-step explanation:

A rational number is a number that is a result when you divide two integers.

Answer:

67*4 = 268 cards

hope this helps

Step-by-step explanation:

Answer:

you just need to *

Step-by-step explanation:

67 * 4 = 268!

have a lovely day and god bless you and ur family ! hope this helped

-lei

Answer:

68.47

Step-by-step explanation:

Given that:

The surface of the paraboloid [tex]z = 2(x^2 +y^2) \ for \ 0 \le z \le 8[/tex]

TO find the area of the given paraboloid, we need to first determine [tex]z_x \ and \ z_y[/tex].

This is because the surface area can be determined by using the formula:

[tex]\int \int _R \sqrt{z_x^2+z_y^2+ 1}\ dA[/tex]

Thus;

[tex]z_x = \dfrac{\partial }{\partial x}(2 ( x^2 +y^2) )[/tex]

[tex]z_x = 4x[/tex]

[tex]z_y = \dfrac{\partial }{\partial y }(2(x^2 +y^2))[/tex]

[tex]z_y = 4y[/tex]

Now;

[tex]\sqrt{z_x^2 + z_y^2 +1 } = \sqrt{(4x)^2 + (4y)^2+1 } \\ \\ \implies \sqrt{16x^2+16y^2+1}[/tex]

[tex]\implies \int \int \sqrt{16x^2 +16y^2+1}\ d x dy \\ \\ \implies \int \int \sqrt{16(x^2+y^2)+1 } \ dxdy[/tex]

Using the polar coordinate since the paraboloid shows the projection of a circle with [tex]x^2+y^2 =4[/tex]

[tex]\int \int \sqrt{16(x^2+y^2)+1 } \ dxdy = \int^{2 \pi}_{0} \ \int^{2}_{0} r \sqrt{16r^2+1} \ dr d\theta \\ \\ \implies \dfrac{1}{48} \Big ( ( 16r^2 +1 )^{\dfrac{3}{2}}\Big) ^2_0 \ \ \int ^{2 \pi}_{0} \ d \theta \\ \\ \implies \dfrac{2 \pi}{48} \Big ( (65^{\dfrac{3}{2}} -1 ) \Big) \\ \\ \implies \dfrac{2 \pi}{48}(523.046) \\ \\ \implies \mathbf{68. 47}[/tex]

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

(3d+3) + (3d+3)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest

Answer:

698.52 Euro

Step-by-step explanation:

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

8.3 feet.

Step-by-step explanation:

Area = (h/2)(a + b)   where h = height and a and b are the lengths of the 2 bases.

70.55 = (h/2)(11.4 + 5.6)

(h/2)(17) = 70.55

h/2 = 70.55/17

h = (2 * 70.55) / 17

h = 8.3 feet.