A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/min. After how many minutes will the mother overtake the toddler?

Answers

Answer 1
Answer: we know that in one minute the toddler is 2(270)=540 feet and mother is 580 so less than 1 minute

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The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function?A.(x – 11)2 + 58 B.(x + 22)2 – 121 C.(x + 7)2 – 47 D.(x – 15)2 + 94

What is the answer for this?​

Answers

Answer:

The general formula for nth term of given sequence is:

G_n = 54 . ((1)/(3))^(n-1)

Step-by-step explanation:

Given sequence is:

54,18,6.....

In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.

Here\na_1 = 54\na_2 = 18\na_3 = 6\nAnd\nr = (a_2)/(a_1) = (18)/(54) = (1)/(3) \nr = (a_3)/(a_2) = (6)/(18) = (1)/(3)

The general formula is:

G_n = A_1 (r)^(n-1)

Putting the values of a1 and r

G_n = 54 . ((1)/(3))^(n-1)

Hence,

The general formula for nth term of given sequence is:

G_n = 54 . ((1)/(3))^(n-1)

Solve for r |-8r-6|=9

Answers

-14r i belive because it makr the most sense

Answer:

-8r - 6 = 9\n +6 +6\n-8r = 15\n(-8r)/(-8) (15)/(-8) \nr = -1.875

What is the value of x?

Answers

they add to 180
we know that they are x and 112
x+112=180
minus 112 both sides
x=68

answer is x=68 degrees
Solutions 

We know that a straight line is 180° and the angle given is 112°. To solve the problem you have to subtract 112° from 180°. 

180° - 112° = angle x

Angle x = 68° 

Check your work 

Let angle x = 68
°. 

112° + 68° = 180° 

The answer is correct. 

Marie has a small copy of rene magritte's famous painting, the schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The scale of the copy is 1 in :40 cm. Find the dimensions of the original painting

Answers

We just multiply the scale to the dimensions
2 in to original is: 2×40= 80 cm
or do proportions:
(2)/(x)=(1)/(40)
=(2*40)/(1)=x
=80 cm=x the original dimension.
Same thing to the other side.
1.5×40=60 cm
or proportions again:
(1.5)/(y)=(1)/(40)
(1.5*40)/(1)=y
60 cm=y 
60 cm is the original dimension
80 cm times 60 cm ORIGINAL DIMENSION

De un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?

Answers

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

30 = −5(6n + 6) multi step equation show all steps pls

Answers

The solution to the equation is n = -2.

To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:

Step 1: Distribute the -5 on the right side:

30 = -5 * 6n - 5 * 6

Step 2: Simplify the right side:

30 = -30n - 30

Step 3: Move constant term to one side:

30 + 30 = -30n

Step 4: Combine like terms:

60 = -30n

Step 5: Divide both sides by -30 to isolate 'n':

n = 60 / -30

Step 6: Simplify the right side:

n = -2

The solution to the equation is n = -2.

To know more about equation:

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n = 2

Porque:

30 = - 5(6n + 6)

30 = -30n - 30

30 + 30 = - 30n

60 = -30n

60/30 =n

n = 2 ✔️