A mirror has a parabolic surface defined by the equation y =StartFraction 1 Over 24 EndFraction x2 with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?

1/36 in.
1/6 in.
2/3 in.
2 2/3 in.

ITS C: 2/3 in.

Step-by-step explanation:

Your answer is x+9

Mark me brainliest

Step-by-step explanation:

Use Pythagoras' theorem

[tex] {a}^{2} = b {}^{2} + c {}^{2} [/tex]

52² = 33.6² + x²

solve for x

Answer:

1575.04

Step-by-step explanation:

Using Pythagoras theorem,

a^2+b^2=C^2

52^2-33.6^2=1575.04

9514 1404 393

Answer:

  60 m wide and 110 m long

Step-by-step explanation:

The more the shape deviates from a square, the smaller the area will be. The area can be reduced by making the park longer and narrower. The sum of length and width must remain the same for the perimeter to be unchanged.

Given park: 70 m × 100 m = 7000 m²

Smaller park: 60 m × 110 m = 6600 m² -- less area than 7000 m²

Answer:

-8

Step-by-step explanation:

If you input x as -2 you get 8=0 so you have to add -8 for it to be true.

Answer:

0

Step-by-step explanation:

We can substitute x for 6 and solve the equation.

Answer:

angle jkm and angle ihf :)

Step-by-step explanation:

Answer:

y=-3/4x-4

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was -3/4. So you can right away fill in the equation for a line somewhat to read:

y=-3/4x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-8,2). When x of the line is -8, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -3/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-8,2).

So, why not plug in for x the number -8 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-8,2). y=mx+b or 2=-3/4 × -8+b, or solving for b: b=2-(-3/4)(-8). b=-4.

The equation of the line that passes through the point (-8,2) with a slope of -3/4

is

y=-3/4x-4

Answer:

The total cost of the copies will be $ 15.14.

Step-by-step explanation:

Given that a long year-end status report for work is 134 pages long, and I need to print 16 copies for a meeting next week, to determine how much is the paper going to cost for those reports if paper is sold in reams (500 pages) for $ 3.53 each the following calculation must be performed:

(134 x 16) / 500 = X

2,144 / 500 = X

4.288 = X

500 = 100

144 = X

144 x 100/500 = X

14,400 / 500 = X

28.8 = X

100 = 3.53

28.8 = X

28.8 x 3.53 / 100 = X

101.664 / 100 = X

1.016 = X

1.016 + (3.53 x 4) = X

1.016 + 14.12 = X

15,136 = X

Therefore, the total cost of the copies will be $ 15.14.

Answer:

5^6( option c)

Step-by-step explanation:

mark as third option

I dont know what you mean by this question, we don't understand that.

Answer:

8.05 miles

Step-by-step explanation:

If it descended 2.2 miles to 5.85 miles then that means it was at 5.85 + 2.2 miles before its descent.

5.85 + 2.2 = 8.05

Answer:

8.05 miles

Step-by-step explanation:

5.85 + 2.2 = 8.05

5.85 + 2.8 = 8.65 (not the answer, but as an example ;b

Answer:

[tex] \frac{6}{17} [/tex]

Step-by-step explanation:

Given,

No. of blue marbles = 6

No. of green marbles = 6

No. of red marbles = 5

So,

Total no. of marbles = 6+6+5 = 17

Therefore,

Probability of not getting blue marbles

[tex] = \frac{6}{17} [/tex]

Hence,

3rd option is correct.

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that [tex]4x + y = 600[/tex], also [tex]y = 600 - 4x[/tex]

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:

[tex]x + 4y = 300[/tex]

From the first equation, we have that [tex]y = 600 - 4x[/tex]. So

[tex]x + 4(600 - 4x) = 300[/tex]

[tex]x + 2400 - 16x = 300[/tex]

[tex]15x = 2100[/tex]

[tex]x = \frac{2100}{15}[/tex]

[tex]x = 140[/tex]

[tex]y = 600 - 4x = 600 - 4*140 = 40[/tex]

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

can u tell wht is the power of x?

Answer:heheheheheheheheheh

Step-by-step explanation:

im funny

Answer:

y=4

Step-by-step explanation:

Read off the graph. The corresponding y-coordinate when the x-coordinate is 7 is 4.

Answer:

4

Step-by-step explanation:

You look for the point on the teal line that has an x-coordinate of 7.

You could also go to the point (7,0), which is on the x-axis, and draw an imaginary vertical line and see which point hits it.

Answer:

What trophy?

Step-by-step explanation:

Theres no picture in the question

Answer:

400/797

Step-by-step explanation:

400 ran a red light

397 didn't run a  red light

a little more than half of everybody ran a red light

acually 400 out of 797 ran a red light

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5

Answer:

its d

Step-by-step explanation:

trust me

Answer:

MNP and ONK

Step-by-step explanation:

Vertical angles are angles which are vertical to each other and are parallel to each other.

Answer:

there's no picture sorry I couldn't help

Answer:

II

Step-by-step explanation:

hope this helps:))))

Answer:

145 ounces

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

12h = 432

Step-by-step explanation:

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Sample of 81

This means that [tex]n = 81[/tex]

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]

[tex]M = 43.12[/tex]

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Answer:

72

Step-by-step explanation:

3x/6=36

3x=36(6)

3x=216

x=216/3

x=72

Answer:

2/3 and 9

Step-by-step explanation:

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

Answer:

D. 51

Step-by-step explanation:

the highest number- the lowest number

54-3=51

Answer: 5/2 because 2/5 times 4 is 8/2 plus 1/2 is 9/2

Step-by-step explanation:

Answer:

$9.99*m=d

Step-by-step explanation:

Answer:

d = $9.99m

Good luck!