Find the focus of the parabola.
y2 = –16x

Answer:

5(x-2)^2=20

5(x^2-4)=20

5x^2-20=20

5x^2-20-20=0

5x^2-40=0

5x^2+0x-40=0

Step-by-step explanation:

hope this is helpfull

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:

[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]

[tex]\to f(x) = 0.01\times (2)^x[/tex]

[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.

Learn more:

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Answer:

[tex]Area = 4h^2-56h +144[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required: The base area.

From the question, we have the initial dimensions to be:

[tex]Length = 12[/tex]

[tex]Width = 12[/tex]

h inch were removed from each corner to form the new base. So, the dimension of the new base is:

[tex]Base\ Length = Length - h - h[/tex]

[tex]Base\ Length = Length - 2h[/tex]

[tex]Base\ Width = Width - h-h[/tex]

[tex]Base\ Width = Width - 2h[/tex]

The area of the base is calculated by multiplying the base dimensions

[tex]Area = Base\ Length * Base\ Width[/tex]

[tex]Area = [Length - 2h] * [Width - 2h][/tex]

[tex]Area = [12 - 2h] * [12 - 2h][/tex]

Expand

[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]

[tex]Area = 144 - 28h -28h + 4h^2[/tex]

[tex]Area = 144 -56h + 4h^2[/tex]

Rewrite as:

[tex]Area = 4h^2-56h +144[/tex]

Answer:

the slope is -1.5

Step-by-step explanation:

Answer:

It would be A

Step-by-step explanation:

when you rotate Clockwise goes -> Counterclockwise goes <-

So you want to go -> so we are going Clockwise because that brings us to the "square" that DOG is in and when you do CAT is still 2 spots farther to the right from DOG so you want to go 2 to the left.

CAT:

when you rotate it clockwise 90 degrees

C goes at  (0,6)

A goes at (4,-6)

T goes at (2, -2)

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

Answer:

4 quarters in a gallon

Step-by-step explanation:

Answer:

93.5ft

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

If the 16 cm is the diameter then the radius is 8 cm. To find the radius of a circle you simply divide two by the diameter. 16 ÷ 2 = 8

Answer:

1272 ft^2

Step-by-step explanation:

The area is 144*106= 15264 inches and to convert inches to feet we divide by 12 because a foot has 12 inches

15264/12 = 1272 ft^2

Answer:

x = 19.8

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

thus, we have it that;

16/28.8 = 11/x

16 * x = 11 * 28.8

x = (11 * 28.8)/16

x = 19.8

Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.

Step-by-step explanation:

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

Answer:

2:5 12:30(?)

Step-by-step explanation:

the first ones right I'm not sure about 12:30

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

Answer:

13/100 or 13% is equivalent to 0.13

Step-by-step explanation:

hope this helps

Answer:

I'm pretty sure it's just 7.0 because seven is the nearest 10th because it's only .1

(A−5)(A+4) I think that is the right answer

Answer:

y = x/x+3 is a rational function

Step-by-step explanation:

Here, we want to select the equation that is a rational function

rational functions are such that could be expressed as the division of one function by another

For example;

f(x) = g(x)/h(x)

is a rational function

so, if we applied this here,

we have it that;

y = x/x+ 3 is a rational function

Answer:

A≈166.28cm²

Step-by-step explanation:

A=[tex]\frac{3\sqrt{3} }{2} a^{2} = \frac{3 x \sqrt{3} }{2} x 8^{2} = 166.27688cm^{2}[/tex]

Answer:

-10/7

Step-by-step explanation:

w - 5 = 8w + 5

w - 8w = 5 + 5

-7w = 10

w = - 10/7

Answer:

Step-by-step explanation:

To solve this equation, group like terms together:  'w' terms on the right and constants on the left:

-10 = 7w.  Then:

w = -10/7 (exact) or w ≈ 1.43

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

[tex]50.24 \div 3[/tex]

2) Simplify 50.24 ÷ 3 to 16.746667.

[tex]16.746667[/tex]

Therefor. the answer is 16.746667.

Answer:

the number is 5

Step-by-step explanation:

((n x 5 + 3.5) ÷ 2) -7.6 = 6.65

( 5n + 3.5) ÷ 2 = 14.25

5n + 3.5 = 28.5

5n = 25

n = 5

Answer:

if you use the 10 feet ladder base is 6 feet

if you use 12 feet ladder base is 8.94 feet

if you use 15 feet ladder base is 12.69 feet

Step-by-step explanation:

you know the ladder length so you know the hypotenuse

you can use a^2 + b^2= c^2

for example you use the 10 feet ladder

8^2+b^2 = 10^2

64 + b^2 = 100

subtract 64 from both sides

b^2=36

to get rid of the exponent find square root

b= 6

you can plug in the different values like 15 or 12

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64