Which number completes the table for y = x^2?
a.) -9
b.) 9
c.) 6
d.) -6

9514 1404 393

Answer:

  x = 1/2

Step-by-step explanation:

There are some different ways to find the area of a donut shape. One is to multiply its centerline length by its width. We'll use that here to find the shaded area of the sector.

The centerline radius of shaded area A is ...

  (6x -2) cm + (1/2)(4x cm) = 8x -2 cm

The length of the centerline is ...

  s = rθ = (8x -2)(π/4) . . . . . . for a central angle of 45° = π/4 radians

Then the area A is ...

  area A = (π/4)(8x -2)(4x) = 2πx(4x -1) . . . cm^2

__

The radius of circle B is ((4 -4x) cm)/2 = (2 -2x) cm. The area of circle B is ...

  A = πr^2 = π(2 -2x)^2 cm^2

We're told the two areas are equal, so we have ...

  2πx(4x -1) = π(2 -2x)^2 . . . . . . . expressions for the areas are equal

  8x^2 -2x = 4x^2 -8x +4 . . . . . . divide by π, eliminate parentheses

  4x^2 +6x -4 = 0 . . . . . . . . . . . . subtract the right-side expression

  2(2x -1)(x +2) = 0 . . . . . . . . . . . factor

  x = 1/2 or -2 . . . . . . . only the positive solution is useful here

The value of x is 1/2.

Answer: The first, The second, and the number line one love!

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

[tex]t *r^{n-1}[/tex]

where t is the first term and r is the ratio. We can substitute in the information we know:

[tex]-\frac{1}{2} *2^{n-1}[/tex]

We are looking for the eighth term, so we substitute 8 where n is:

[tex]-\frac{1}{2}*2^{8-1}[/tex]

We can simplify:

[tex]-\frac{1}{2}*2^7[/tex]

[tex]-2^6[/tex]

[tex]-64[/tex]

Answer: She needs to get 99 on her next test.

Step-by-step explanation:

Answer:

$500

Step-by-step explanatioThe numberber of years driven is the first and second year

= 2

Miles driven

First year= 15,500

Second year= 14,500

Therefore the cost of depreciation can be calculated as follows

15,500-14,500/2

= 1000/2

= 500

Hence the cost of depreciation is $500

The answer is: 2,318

First year on the graph: 8.5

Second year on the graph: 6.9

First year:

15,500 x 8.5 = 131,750

131,750/100 = 1,317.50

Second year:

14,500 x 6.9 = 100,050

100,050/100 = 1,000.50

1,317.50 + 1,000.50 = 2,318

Answer:

I) coordinate of P is (11, 5.5)

II) Points are not collinear

Step-by-step explanation:

I) Let the coordinates of P be (a, b)

We are told that its x-coordinate is twice its y-coordinate. Thus, a = 2b

Now, P is equidistant from R(-2, 4) and S(6,-4). Thus;

PR = PS

Using the formula for distance between two coordinates, we have;

√((a - (-2))² + (b - 4)²) = √((a - 6)² + (b - (-4))²)

This gives;

(a + 2)² + (b - 4)² = (a - 6)² + (b + 4)²

Since a = 2b,then we have;

(2b + 2)² + (b - 4)² = (2b - 6)² + (b + 4)²

4b² + 8b + 4 + b² - 8b + 16 = 4b² - 12b + 36 + b² + 8b + 16

Simplifying this gives;

20 = 42 - 4b

42 - 20 = 4b

4b = 22

b = 22/4

b = 11/2

b = 5.5

Since a = 2b

Then a = 2 × 5.5

a = 11

Thus, coordinate of P is (11, 5.5)

II) Formula for area of triangle formed by three points is given as;

A = ½|(x1 - x2) (x2 - x3)|

|(y1 - y2) (y2 - y3)|

x1 - x2 = 11 - (-2) = 13

x2 - x3 = -2 - 6 = -8

y1 - y2 = 5.5 - 4 = 1.5

y2 - y3 = 4 - (-4) = 8

Thus;

A = ½|13 -8|

|1.5 8|

A = ½((13 × 8) - (1.5 × - 8))

A = ½(104 + 12)

A = 58

Since the area is not zero, then it means the points are not collinear.

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Answer:

It will cost $532 to paint the barn

Step-by-step explanation:

First we need to find the area of the barn's walls.

2 (length x height) + 2 (width x height)

=2 (80x30) + 2 (50x30)

=2 (2400) + 2(1500)

=4800+3000

=7800 ft^2

Now we can find the amount of gallons needed, then the total cost.

7800 ft^2/420 ft^2  

=18.57 gallons

=19 gallons  

19 gallons x $28

=$532

Answer:

520

Step-by-step explanation:

Area:

[tex]2(80*30) + 2(50*30) = 7800[/tex]

Price

[tex]\frac{7800}{420}*28 = 520[/tex]

Answer: 138

Step-by-step explanation:

(65*2)=130

(4*2)=8

130+8=138

Answer:

2 (l+b )=2 (65+4)=2×69=128

Answer:

147 degrees

Step-by-step explanation:

all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.

Answer: b

Step-by-step explanation: on edge

Answer: C. 30 StartRoot 3 EndRoot

Step-by-step explanation:

Took the test/exam

Answer:

B

Step-by-step explanation:

Answer:

a*n = -8 + (n - 1)6

Step-by-step explanation:

Explicit formula:

a*n = a*1 + (n - 1)d

a*1 = first term

n = nth term or the place

d = difference

Set: -8, -2, 4, 10

-8 ---> -2 = 6 added

Fill it in.

a*1 = -8

n = n

d = 6

Solution:

a^n = -8 + (n -1)6

Answer: 20 cm²

Step-by-step explanation:

Answer:

the answer is x = 0

Step-by-step explanation:

Cancel equal terms on both sides of the equation:

[tex]5x = 0[/tex]

Divide both side of the equation by 5.

[tex]x = 0[/tex]

Therefore, the answer is x = 0

Answer:

5x - 10 = -10

+10 +10

5x = 0

divide by 5 on both sides:

x = 0

Answer:

55

Step-by-step explanation:

Answer:

4.20

Step-by-step explanation:

First find the total cost of the nametags

105 * .12

12.60

Then divide by the 3 teachers

12.60/3 =4.20

Each teacher will pay 4.20

Answer:

y=1

Step-by-step explanation:

x is 0 so there is no point putting that in in the equation y=mx+b you do have the b which is 1 so that is your equation

Answer:

d) 5/4

Step-by-step explanation:

The gradient is change in y over change in x

hope it makes sense

:)

Answer:

Step-by-step explanation:

The last statement is false.

∠BAF and ∠EAB are supplementary angles.

don't know but the distance between the starting point to the first aid tent is 6cm or miles don't know but this much far

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]

[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]

As per the given info we draw the tree diagram which is defined in the attachment file.

[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]

                  [tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]

[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]  

[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]

Answer:

10.35

Step-by-step explanation:

He has $300 (15x$20). He spends 144.75. He has 155.25 in total. That leaves 10.35 (155.25/15) to spend on each student.