1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.

Max points

Answer:

yes

to determine if the statement is true, divide the ratio of goats by the ratio of pigs

13/4 = 3 1/4

there are 3 1/4 more goats as their are pigs

Step-by-step explanation:

Answer: 12 hours

Step-by-step explanation:

Let's set the speed as "s".

Remember that distance = speed * time

So, plugging the numbers given...

7 = s * 8.4

Divide both sides by 8.4

s = 5/6

Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"

10 = 5/6 * t

Divide both sides by 5/6

12 = t

So, it would take 12 hours for the snail to crawl 10 miles.

Answer:

47.05

Step-by-step explanation:

12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#

Answer:

105, I think if not please tell me it isn't!

Answer:

$30

Step-by-step explanation:

So we know that the toy cost 24 dollars. We also know that the cost is increased by 25%.

What is 25% of 100%? Thats 1/4. So, what is 1/4 of 24? That will be 6.

Since we are increasing the cost by 25%, we are increasing 24 dollars by 6. 24 plus 6 equals 30.

So the answer:

$30

Ti⊂k∫∈s ω∅∅p

Answer:

V = 286319.465 cm3

Step-by-step explanation:

First, you have to find the radius to be able to find the volume of a sphere.

The equation for the area of a circle is pi r^2 so you have to so some algebra.

5252 = pi r ^2

5252/pi = r^2

1671.76352 = r^2

sqrt(1671.76352) = r

r = 40.8872048

then you do the equation for the volume of a circle which is 4/3 pi r^3

4/3 pi (40.8872048)^3

4/3 pi 68353.7373

4/3 214739.599

286319.465

V = 286319.465 cm3

Answer:

x=3

Step-by-step explanation:

Answer: b

f(x)=5x^2-17x+495

f(11)=913

Step-by-step explanation:

I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.

The quadratic function that models the data will be;

y = 5x² - 17x + 495

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The model to estimate the number of fish at the lake on week 11 are;

Week = 0, 1, 2, 3, 4, 5, 6

Population = 495, 483, 481, 489, 507, 535, 573

Now,

Let the quadratic equation is;

y = ax² + bx + c

Substitute x = 0 and y = 495, we get;

495 = a × 0 + b × 0 + c

c = 495

Substitute x = 1 and y = 483, we get;

483 = a × 1 + b × 1 + c

483 = a + b + 495

a + b = 483 - 495

a + b = - 12   ... (i)

Substitute x = 2 and y = 481, we get;

481 = a × 4 + b × 2 + c

481 =  4a + 2b + 495

4a + 2b = 481 - 495

4a + 2b = - 14

2a + b = - 7   ... (ii)

Solve equation (i) and (ii), we get;

a = 5 and b = - 17

So, We get;

The quadratic equation is;

y = ax² + bx + c

y = 5x² - 17x + 495

Therefore, The quadratic function that models the data will be;

y = 5x² - 17x + 495

Learn more about the quadratic equation visit:

https://brainly.com/question/25841119

#SPJ2

Answer:

A.y=(t-1998)+b

B. 13,720 Vehicles

Step-by-step explanation:

N/A

Answer:The second option is correct.(4).(8) 3.6 would be rounded to 4, and 7.8 would br8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

P( music ) = number of students in music/ total number of students

P (music) = 4 / 14

= 2/7

Answer:

i dont know what set a or b is...I would love to help you though...see below.

Step-by-step explanation:

Mean is best used for a data set with numbers that are close together.

The median is the midpoint value of a data set, where the values are arranged in ascending or descending order.

In addition, the standard deviation, like the mean, is normally only appropriate when the continuous data is not significantly skewed or has outliers.

You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even.

This can be useful if you are measuring a variable that has either a critical low or high threshold (or both) that should not be crossed. The range will instantly inform you whether at least one value broke these critical thresholds. In addition, the range can be used to detect any errors when entering data.

Quantile classification is ideal for ordinal data. When you have a clear ordering of the variables, then this is one of the advantages of quantity classification. If you want to rank data into categories such as high, medium, and low, this is another opportunity to use quantile classification

9514 1404 393

Answer:

  $12,720

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +rt)

where P is the principal, invested at rate r for t years.

  A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

[tex]\sqrt{x^2} =\sqrt{25}[/tex]

x = 5

Answer:

you are right, it's a)❤

Step-by-step explanation:

a4=12---> put the formula in it

2×4+4=12

a5=14---> 2×5+4=14

a6=16---> 2×6+4=16

.

.

.

hope it helps❤

Answer:

b

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

cause it looks like its only slitly rotated

Answer=D, Y=55x + 4. This is the answer.......

Btw: this is my first answer I done ;)

Answer:

Option B, 2 parallel lines

Step-by-step explanation:

Complete question

The locus of points in a plane 3 units from the line y = 1

A ray

B. 2 parallel lines

C. circle

D. plane

Solution

A group of points whose location is determined by more than one or at least one specified condition is called a locus. Locus of a line could be a set of points that form a line or a surface satisfying the condition of line in the plane.  

Hence, option B is correct

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4

Answer:

300

Step-by-step explanation:

surface area of prism = p (perimeter)*height + 2* base area

sa = (12+13+5) * 8 + 2* (12*5/2)

    = 30*8 + 2*30

    = 240+60

    = 300

It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

THANKS

9514 1404 393

Answer:

  168 mm²

Step-by-step explanation:

The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.

  A = 1/2bh

  A = 1/2(14 mm)(12 mm)

  A = 84 mm²

The area of the triangle is 84 square millimeters.

Answer:

84 whoop lololol

Step-by-step explanation:

84 mm power 2

Answer:

About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}x+16=37[/tex]

63 Jelly Beans

Step-by-step explanation:

The unknown is the number of jelly beans originally in the bag or x

First he had x jelly beans

The he ate one-third of them

[tex]\frac{1}{3}x[/tex]

He then ate 16 more jelly beans

[tex]\frac{1}{3}x+16[/tex]

This was equal to 37 jelly beans

[tex]\frac{1}{3}x+16=37[/tex]

This is the equation

Now solve for x

Subtract 16 from both sides

[tex]\frac{1}{3}x=21[/tex]

Multiply both sides by 3

[tex]x=63[/tex]

63 Jelly Beans

Answer:

4,615.25

Step-by-step explanation:

I just did a et and it is correct.