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luda_lava [24]
3 years ago
12

N order to write an expression like (5x + 4)3 in expanded form, it helps to look at (5x + 4) as just one number, n.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

The expression (5x + 4)^3 in expanded form is 125 x3 + 300 x2 + 240 x + 64.  The expression will have also a root of x = -4/5. This is the form of trinomial expansion and can be  solve by multiplying the the term 3 times.

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Which expression has the same value as 7÷9 over 10
Maurinko [17]
This may be wrong but I'm going to go with B. 1/7 x 9/10



Hope this helps! ( Probably didn't help in any way but I tried).
5 0
3 years ago
A certain hybrid car has a mileage rating of 57 miles per gallon. if the car makes a trip of 293 miles, how many gallons of gaso
dlinn [17]
To determine the number of gallons of gasoline that is used, we need to know the rate of usage of gasoline. This rate would describe the number of gasoline in units of volume that is being used per distance in units of length. In this case, we need the rate in units of miles per gallon. From what is asked and the given values, we simply divide the rate to the the total distance that was traveled by the car. We calculate as follows:

Gallons of gasoline = 293 miles / 57 miles / gallon
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4 0
3 years ago
A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the
erica [24]

Answer:

8%

Step-by-step explanation:

The maximum change happens when all 500 people moves form outer surface to the station center. When all of them are at the surface, the total moment of inertia is:

I = I_s + 500I_p = 3*10^9 + 500m_pr_p^2=3*10^9 + 500*70*82.5^2=3.24*10^9

When they are at the axis, the total moment of inertia is only the station's, which is 3*10^9

By the law of angular momentum conservation:

I_1\omega_1 = I_2\omega_2

\omega_2/\omega_1 = I_1/I_2 = \frac{3.24*10^9}{3*10^9} = 1.08

So the angular speed changes by 0.08 of itself, or 8%

5 0
3 years ago
Can someone help please !! I appreciate it
kkurt [141]
ANSWER
x=2
EXPLANATION
I’m smart don’t worry
7 0
2 years ago
Read 2 more answers
A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th
umka2103 [35]

Answer:

The expected repair cost is $3.73.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.

The probability of a large lot of items containing defectives is, <em>p</em> = 0.09.

An item is defective irrespective of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.

The repair cost of the item is given by:

C=3X^{2}+X+2

Compute the expected cost of repair as follows:

E(C)=E(3X^{2}+X+2)

        =3E(X^{2})+E(X)+2

Compute the expected value of <em>X</em> as follows:

E(X)=np

         =4\times 0.09\\=0.36

The expected value of <em>X</em> is 0.36.

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)

         =4\times 0.09\times 0.91\\=0.3276\\

The variance of <em>X</em> is 0.3276.

The variance can also be computed using the formula:

V(X)=E(Y^{2})-(E(Y))^{2}

Then the formula of E(Y^{2}) is:

E(Y^{2})=V(X)+(E(Y))^{2}

Compute the value of E(Y^{2}) as follows:

E(Y^{2})=V(X)+(E(Y))^{2}

          =0.3276+(0.36)^{2}\\=0.4572

The expected repair cost is:

E(C)=3E(X^{2})+E(X)+2

         =(3\times 0.4572)+0.36+2\\=3.7316\\\approx 3.73

Thus, the expected repair cost is $3.73.

4 0
2 years ago
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