1 pts
Question 3
Write the equation of a line through (1,2), parallel to y=4x+1
O y=-2x+5
O y=4x-2
O y=-4x-2
O y=5x-2

Answer:

i believe the answer is : 1 dollar and 8 cents

$1.08

Answer:

The answer is: $1.08!

Step-by-step explanation:

Have a nice day! :)

Tenemos un problema sobre volumenes y factorización.

Partimos con la informacion:

Cada caja de esfera es una cúbica, y tiene una arista que mide (a + 2)cm

Sabemos que la caja que contiene las cajas de las esferas tiene:

una base:

B = (25*a^2 + 100*a +100)cm^2

una altura:

H = (3a + 6)cm

A) Queremos encontrar el volumen de ambas cajas.

Sabemos que para un cubo, el volumen es el cubo de la arista, entonces el volumen de la caja que contiene la esfera es:

V = cm^3  = (a^3 + 6*a^2 + 12*a + 8) cm^3

(expresado en forma factorizada y expandida)

Y para un prisma rectangular, el volumen será igual que el producto entre la base y la altura.

V' = B*H = [(25*a^2 + 100*a +100)cm^2]*[(3a + 6)cm]

Tambien podemos expandir esto a:

V' = (75*a^3 + 450*a^2 + 900*a + 600) cm^3

También expresado en dos formas.

B) Para responder esto debemos tomar el cociente V'/V

[tex]V'/V = \frac{(75*a^3 + 450*a^2 + 900*a + 600) cm^3}{(a^3 + 6*a^2 + 12*a + 8) cm^3}[/tex]

Para simplificar esto, deberíamos utilizar las formas factorizadas:

[tex]V'/V = \frac{ [(25*a^2 + 100*a +100)]*[(3a + 6)]}{ (a + 2)^3} = \frac{ 3*[(25*a^2 + 100*a +100)]*[(a + 2)]}{ (a + 2)^3} \\\\V'/V = \frac{ 3*[(25*a^2 + 100*a +100)]}{ (a + 2)^2}[/tex]

Ahora debemos factorizar la base:

25*a^2 + 100*a + 100

Para ello debemos encontrar las dos raices, que se obtienen con:

[tex]a = \frac{-100 \pm \sqrt{100^2 - 4*25*100} }{2*25} = \frac{-100 \pm 0 }{25*2} = -2[/tex]

(dos raices iguales a -2)

Entonces podemos escribir:

25*a^2 + 100*a + 100 = 25*(a + 2)^2

Remplazando esto en el cociente de volumenes, obtenemos:

[tex]V'/V = \frac{ 3*[(25*a^2 + 100*a +100)]}{ (a + 2)^2} = \frac{3*25*(a + 2)^2}{(a + 2)^2} = 3*25 = 75[/tex]

Asi, podemos ver que entran 75 cajas.

También se pregunta:

" Si el valor de "a" fuera 6 ¿cambiaría la cantidad de cajas con esferas del dragón pedidas por Andres? "

La respuesta es no, pues podemos ver que el cociente de volumenes no depende del valor de a.

Reto extra:

La cantidad de niveles está dada por:

[tex]\frac{3a + 6}{a + 2} = \frac{3(a + 2)}{a + 2} = 3[/tex]

Así podemos ver que hay 3 niveles.

Si quieres aprender mas, puedes leer:

https://brainly.com/question/15739168

Answer:

1.8

Step-by-step explanation:

9.54 ÷ 5.3

95.4 ÷ 53 = 1.8

Answer:

124.8

Step-by-step explanation:

first divide 104 by 50 to find out the distance the plane flies in one minute

104÷50= 2.08

then multiply by 60:

2.08×60= 124.8

[tex] \large \mathfrak{Solution : }[/tex]

By Applying Pythagoras theorem :

therfore, the value of x = 6 units

Answer:

Here both line are perpendicular because as product of slope of both lines is -1

Answer:

lines are perpendicular

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

y = [tex]\frac{3}{4}[/tex] x - 1 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

(2)

3y = - 4x + 6 ( divide each term by 3 )

y = - [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form

with slope m = - [tex]\frac{4}{3}[/tex]

Then

[tex]\frac{3}{4}[/tex] × - [tex]\frac{4}{3}[/tex] = - 1

Thus the 2 lines are perpendicular to each other

Answer:

To convert fahrenheit to celsius subtract 32 from the fahrenheit number and then multiply it by 5/9!!

1. a. about -17.78 degrees celsius

work: 0-32 = -32 times 5/9

-32*5 = -160

-160/9 = about -17.78

  b. 0 degrees celsius

work: 32-32 = 0

0*5/9 = 0

   c. about 21.11 degrees celsius

work: 70-32 = 38

38*5/9 = about 21.11

   d. 37 degrees celsius

   work: 98.6-32 = 66.6

66.6*5/9 = 37

   e.  about 37.78 degrees celsius

work: 100-32 = 68

68*5/9 = about 37.78

   f. 100 degrees celsius

work: 212-32 = 180

180*5/9 = 100

celsius to fahrenheit is that number times 9/5, then  + 32

2.  (all of these answers are in degrees FAHRENheit. Make sure to write that!)

a. 32

work: 0*9/5 = 0 and 0+32 = 32

b. 89.6

work: 32*9/5 = 57.6.

57.6+32 = 89.6

c. 158

work: 70*9/5 = 126. 126+32 is 158

d.  209.48

work: 98.6*9/5 = 177.48. 177.48+ 32= 209.48

e. 212

work: 100*9/5 = 180. 180 + 32 = 212

f. 413.6

212*9/5 = 381.6. 381.6+32 = 413.6

Step-by-step explanation:

Hope i was in time.

×2 is greater than ×3 when the numbers are in negative form.

Answer: 0.201

Step-by-step explanation:(0.67)(0.3)

0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.

x = a√3

a = 3

x = 3√3

.........

Answer:

3

Step-by-step explanation:

Answer:

D. -2+4i

Step-by-step explanation:

just combine like terms :)

Answer:

-2+4i the ansewr is D.

Step-by-step explanation:

Verify Left hand:

Simplify the following:

2 + 3 i - 4 + i

2 + 3 i - 4 + i = (2 - 4) + (3 i + i):

(3 i + i) + (2 - 4)

2 - 4 = -2:

-2 + (3 i + i)

3 i + i = 4 i:

4 i - 2

Factor 2 out of 4 i - 2 giving 2 (2 i - 1):

Answer: 2 (2 i - 1)

Verify Right Hand:

Simplify the following:

4 i - 2

Factor 2 out of 4 i - 2 giving 2 (2 i - 1):

Answer: 2 (2 i - 1)

i wanna answer 1st question.I hope it will be helpful

so what you can do is to do substract of circumference of circle by the rectangle

and you will area value of circle

Answer:

7 hours

Step-by-step explanation:

If it's $12 + $5(h) = 47, take away 12 automatically as this value doesn't depend on the hours. 47-12 is 35 so divide by 5 to get the hours. 35/5 is 7 so he rode 7 hours.

Answer:

7 hours

Step-by-step explanation:

(47-12)/5

The answer should be 2, 4.

Answer:

bag

Step-by-step explanation:

The subject of a sentence is the person, place, thing, or idea that is doing or being something. You can find the subject of a sentence if you can find the verb. Ask the question, "Who or what 'verbs' or 'verbed'?" and the answer to that question is the subject.

please buy me a school bag

Answer:

B.

w=P-2l/2

Step-by-step explanation:

Answer:

[tex]w = \frac{p - 2l}{2} [/tex]

Step-by-step explanation:

[tex]p = 2l + 2w \\ p - 2l = 2w \\ \frac{p - 2l}{2} = \frac{2w}{2} \\ \frac{p - 2l}{2} = w[/tex]

Good luck

Answer:

110,000

Step-by-step explanation:

107,252 - the zero is in the then thousand place.  Look one number to the right and it is 7.  Since the 7 is 5 or greater, the zero is the ten thousand place is rounded to a one.

Answer:

Derivative of sinx is cosx ...........

Answer:

45

Step-by-step explanation:

Simply subtract 32 from 77.  

To find the numbers between any two numbers, we have to find the difference between them. The difference between 77 and 32 is 45.

45 whole numbers are there between 77 and 32.

We need to find whole numbers between 77 and 32

The complete set of natural numbers with zero is called as whole number

To find whole numbers between 32 and 77.

we need to find the difference.

seventy seven- thirty two = fourty five

77-32=45

Therefore 45 whole numbers are between 32 and 77

To learn more about whole numbers click here: https://brainly.com/question/19161857

#SPJ2

Answer:

the correct answer is 7/8 i hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

66.

rectangle or square (if sides are equal.)

67.

trapezoid

68

trapezoid.

69.

scalene quadrilateral.

9514 1404 393

Answer:

  a. correct

  b. 3 for $315; 5 for $485

Step-by-step explanation:

You have correctly solved for x, the number of ski trips. As a practical matter, the formula is easier to use if you don't have to deal with mixed numbers or the odd fraction:

  [tex]x=\dfrac{C-60}{85}[/tex]

Use that formula to find the number of ski trips for each of the given amounts.

x = (315 -60)/85 = 255/85 = 3 trips

x = (485 -60)/85 = 425/85 = 5 trips

Answer: gee

Step-by-step explanation:

gee

Answer:

I believe that G 0.329 > 0.4 is not true.

Step-by-step explanation:

0.4 is clearly a larger number than 0.329. I feel like the key point to these are the starting numbers behind the decimal. So for 0.329 the key number would be the 3, and for 0.4 the key number would be the 4. Now which one do you think is bigger? Obviously the 0.4 for G is NOT true.

An inverse function reverses the roles of inputs and outputs (of x-values and y-values).  

If (2,4) is on the graph of a function, then (4,2) is on the graph of the inverse function.  

If (9,7) is on the graph of the inverse, then (7,9) would be on the graph of the original function.  

If (a,b) is on the graph of the function, then (b,a) is on the graph of the inverse.  

Getting to your question, which of the points listed has the inverse listed up in the table?