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LiRa [457]
3 years ago
5

How to write 14.578 in expanded form

Mathematics
1 answer:
34kurt3 years ago
4 0
14.578 = 1 x 10 + 4 x 1 + 5/10 + 7/100 + 8/1000 = 10 + 4 + 0.5 + 0.07 + 0.008
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Question 3 Here are three more lines. What is the slope of the lines? 1 pts​
vodka [1.7K]

Answer:

since they are parallel lines, the slopes are equal. we should divide vertical displacement by horizontal displacement in one of them to get the slope:

\frac{2}{6}  =  \frac{1}{3}

6 0
1 year ago
Read 2 more answers
Please help me I need this for exam tomorrow and can u please show the working
Sergio [31]

Answer:

46,57/4

Step-by-step explanation:

area = π.r^2 = π.(d^2)/4

d^2 = AB^2= 5,6^2+3,9^2 =46,57

----> area = π.46,57/4

7 0
2 years ago
Find the product.<br> (-7)(-9) =
Lostsunrise [7]

Answer:

63

Step-by-step explanation:

7*9 = 63

-7*-9 = 63

negative*negative = positive

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Hope I helped

<h2><em>DaniElSabiondo</em></h2>
7 0
3 years ago
Read 2 more answers
A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into the tank at 6 gallons per min
balandron [24]

Answer:

1.857 minutes

Step-by-step explanation:

From the given information:

Consider the amount of salt present in the tank as x(t) at a given time (t); &

The volume of the solution = V(t)

At t = 0 i.e. (at initial conditions)  x(0) = 30; and V(0) = 50

However, the overall increase taken place for 1 gallon per minute is:

V(t) = 50 + t

The amount of salt x(t) at any given point for time (t) is;

\dfrac{x(t)}{V(t)}= \dfrac{x(t)}{50+t}

After 5 gallons of solution exit per minute; the concentration of the salt solution changes at:

\dfrac{dx(t)}{dt}= -\dfrac{5x(t)}{50+t}

Taking the integral of what we have above, we get:

In x(t) = - 5 In(t + 50) + In (C)

In x(t) = In (t+ 50)⁻⁵ + In (C)

In x(t) = In C ( t + 50)⁻⁵

x(t) = C(t + 50)⁻⁵      (General solution)

To estimate the required solution; we apply the initial conditions x(0) = 30;

Thus;

x(0) = C(50)⁻⁵ = 30

⇒ C = 30 × 50⁵

Hence; x(t) =  30 × 50⁵ × (t + 50)⁻⁵

The above expression can be re-written as:

x(t) = 25 \implies 30 \times \bigg ( \dfrac{50}{t+50} \bigg ) ^5= 25

i.e.

\bigg ( \dfrac{50}{t+50} \bigg ) ^5= \dfrac{25}{30}

\dfrac{50}{t+50}= \bigg ( \dfrac{25}{30}\bigg) ^{\dfrac{1}{5}}

\dfrac{50}{t+50}= 0.964192504

{50}= 0.964192504(t+50)

50 = 0.964192504t + 48.2096252

50 - 48.2096252 = 0.964192504t

1.7903748 =  0.964192504t

t = 1.7903748 / 0.964192504

t ≅ 1.857 minutes

We can thereby conclude that the estimated time it will require until there are 25 pounds of salt in the tank is 1.857 minutes.

7 0
2 years ago
Which equation represents a nonproportional relationship?
Montano1993 [528]
C. If you have to add on a number it is nonproportional
5 0
3 years ago
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