Determine whether the graph defines a function of x.<br> Yes or No

Midpoint.<br> (3,3), (-1,1)

Scilla [17]

Answer:

1,2

Step-by-step explanation:

3+-1=2

2/2=1

3+1=4

4/2=2

7 0

2 years ago

Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?

DerKrebs [107]

KP - break this one down to three parts: Total cost of shirts, total cost of shirts and the skirt, and then including tax.

3 T-shirts for $25.67 each would be 3 * 25.67 = 77.01
Shirts and skirt would be 77.01 + 23.55 = 100.56
Tax can be found quite a few different ways, the easiest of which would be multiplication.

8% = .08

100.56 (total cost of clothes) * .08 (tax) = $8.05

Now just add tax and total cost of the clothes. Because of rounding, our answer might be slightly different but that's okay because it's multiple choice and only 1 answer makes sense!

3 0

2 years ago

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In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.

babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

(a) 282429536481 bacteria

(b) $7.97*10^{22$ bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

$y = ab^x$

Where

$a = Initial\ Value = 1$

$b=Rate = 3$ --- i.e. triples

$x = number\ of\ hours$

Solving (a): Bacteria in 24 hours

In this case:

$x = 24$

Substitute $x = 24$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{24$

$y = 1 * 282429536481$

$y = 282429536481$ bacteria

Solving (b): Bacteria in 2 days

$2\ days =48\ hours$

So:

$x = 48$

Substitute $x = 48$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$y = 1 * 3^{48$

$y =7.97*10^{22$ bacteria

Solving (c): How long for 1000 bacteria

In this case:

$y = 1000$

Substitute $y = 1000$ , $b = 3$ and $a = 1$

So:

$y = ab^x$

$1000 = 1 *3^x$

$1000 = 3^x$

Take Log of both sides

$Log1000 = Log3^x$

This gives:

$Log1000 = xLog3$

Make x the subject

$x = \frac{Log1000}{Log3}$

$x \approx 6$

<em>Hence: It takes 6 days</em>

8 0

2 years ago

Find the area of the shaded portion. Show all work for full credit.

andre [41]

Alright, so first of all, you need to find the area of the circle that is part of the cone-shaped area so you can remove it. You need the formula:
$Area = \pi r^{2} ( \frac{c}{360} )$ where c = angle.

Now plug in the answers, and you get:
$A = \pi 6^{2} ( \frac{120}{360} )$ .

This would then equal to $12 \pi$ .

now, essentially, the shape of this ENTIRE area is of 2 right triangles. Divide 120 by 2, you get 60 degrees. You have 2 60/30/90 triangles (shown in the bottom)

Now, what you need to do is to find the area of the entire thing by using the formula to calculate the right triangle area (A = (1/2)bh). You have b, which is 6. To find the h, you use tan(60) = x/6, which gives you $6 \sqrt{3}$ .

The area of one right triangle of this size would be = $18 \sqrt{3}$

Because 2 right triangles, multiply the area by 2 and get: $36 \sqrt{3}$

Now, remember the area of that circle in that total area? subtract it from the total area ( $36 \sqrt{3}$ ) by 12pi and you get 24.65.

The final answer is 24.65

7 0

2 years ago

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Help me pls pls pls :(

sveta [45]

740 square meters

Just find the areas of all the faces of the prism. And add then all up:

Area of rectangular base (bottom):
16 • 10= 160 square meters

Area of triangle facing front:
1/2 • 15 • 16= 120
Multiply 120 by 2 cause theres a same triangle facing back the prism: 120 • 2= 240

Area of rectangle facing right:
10 • 17= 170
Multiply 170 by 2 cause theres a same rectangle facing left the prism: 170 • 2= 340

Add them all up together:
160+ 240+340= 740

Comm.ent me if u have any questions

MARK ME BRAINLIEST TYSM! Say if my answer was wrong/right!

3 0

2 years ago

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Determine whether the graph defines a function of x. Yes or No