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nikklg [1K]
3 years ago
10

3 x 10 + 2 x 1 + 6 x 1|100 + 4 x 1|1,000 is the expanded form of which decimal?​

Mathematics
1 answer:
Arisa [49]3 years ago
4 0

Answer:

6 × 1 + 3 ×(1/100) + 9 × 10 + 2 × (1/10)

We know that 1, 1/100, 10, and 1/10 are place values. We can write 14.25 as 1 × 10 + 4 × 1 + 2 × (1/10) + 5 × (1/100), for example. We can use that information to solve the above.

We also can multiply and add the expression.

6 × 1 + 3 ×(1/100) + 9 × 10 + 2 × (1/10)

6 + 3/100 + 90 + 2/10

6 + 0.03 + 90 + 0.2

96.23

Step-by-step explanation:

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Let T:R²->R² be a linear transformation ,and assume that T (1,2)=(-1,1) and T(1,-1)=(2,3)
zavuch27 [327]

Answer:

(-4,-1)

Step-by-step explanation:

We are given T(1,2)=(-1,1) and T(1,-1)=(2,3) and T is a linear transformation.

This implies for scalars a and b that

T(a(1,2)+b(-1,1))=aT(1,2)+bT(-1,1)

T((a,2a)+(-b,b))=a(-1,1)+b(2,3)

T((a-b,2a+b))=(-a,a)+(2b,3b)

T((a-b,2a+b))=(-a+2b,a+3b)

This means we should be able to solve the system below to find a and b for T(3,3):

a-b=3 and 2a+b=3

Add equations to eliminate b and solve for a:

3a=6

Divide 3 on both sides:

a=2

If a-b=3 and a=2, then b=-1.

Plug in a=2, b=-1:

T((a-b,2a+b))=(-a+2b,a+3b)

T((2--1,2×2+-1)=(-2+2×-1,2+3×-1)

T(3,3)=(-4,-1).

4 0
3 years ago
MVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x
kotykmax [81]
The diagram of the three angles is shown below with point U as the point where all three lines meet.

Angles property: Angles around a point add up to 360°

We set up an equation

175+17x-3+17x+8=360
180+34x=360
34x=360-180
34x=180
x= \frac{180}{34}= \frac{90}{17}
5 0
3 years ago
Speed Car Rentals charges an initial fee of $55 plus $0.5 per mile. A) Write An equation to represent this situation. B) Create
MrRissso [65]

Its B) Create a table that shows a customer will pay if miles needed to travel are 5,9,12, 25.

7 0
3 years ago
to support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. t
Leokris [45]
Choice given:
<span>33.6°
39.8°
50.2°
56.4°

I drew the figure. 
I got 12 ft as the hypotenuse, 10 ft as the opposite.

Sin</span>Θ = opposite / hypotenuse 
SinΘ = 10/12
SinΘ = 0.83

I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83

The angle where the wire meets the ground is approximately 56.4°
8 0
4 years ago
Read 2 more answers
Where is the point (-4 -5) located on the coordinate plane
Mademuasel [1]

9514 1404 393

Answer:

  D.  in quadrant III

Step-by-step explanation:

The signs of the coordinates tell you the point is located left of, and below, the origin (where the axes cross). That puts it in Quadrant III.

7 0
3 years ago
Read 2 more answers
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