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Vaselesa [24]
3 years ago
13

Write the first five terms of a numerical pattern that begins with 5 and then adds 6

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

This pattern forms an arithmetic sequence with the first term a_1=5. The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,

a_2=a_0+6=5+6=11\\\\a_3=a_2+6=11+6=17\\\\a_4=a_3+6=17+6=23\\\\a_5=a_4+6=23+6=29

The first terms of this sequence are 5, 11, 17, 23,29.

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dimaraw [331]

the multiplication of fractions is very straightforward, numerators across and denominators across, now, let's firstly convert the mixed fraction to improper fraction.


\bf \stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\cdot \cfrac{5}{7}\implies \cfrac{12}{7}\cdot \cfrac{5}{5}\implies \cfrac{12}{7}\cdot 1\implies \cfrac{12}{7}\implies 1\frac{5}{7}

4 0
3 years ago
Jack and Nina are graphing two equations on a coordinate grid. Jack has graphed the equation y = 2x. If Nina graphs y = 5x, wher
Licemer1 [7]
Ninas graph will always have a steeper slope. And will always be higher on the graph?
7 0
3 years ago
Read 2 more answers
20 POINTS!!
svet-max [94.6K]

9514 1404 393

Answer:

  P = 3x +32

Step-by-step explanation:

If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...

  (x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x

where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.

As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...

  A = LW = P(2x)

We want this to be the same as the existing area, so ...

  2Px = 6x^2 +64x

  P = 3x +32 . . . . . divide by 2x

6 0
3 years ago
Y = -16x2 + 32x + 3.
Lena [83]

Answer:

3x2

Hope this is the answer

(BTW the 2 is squared)

4 0
3 years ago
Josh is putting up a fence around a garden that is next to a wall. He only has 54 feet of fence and the length of the garden mus
vova2212 [387]

Answer:

Length = 12 feet

Width = 30 feet

Step-by-step explanation:

Let l be the length of the garden and let w be the width:

We have system of equations

2w + l = 54

l = 2w + 6

We substitute 2w + 6 for l

2w + 2w + 6 = 54

4w + 6 = 54

4w = 54 - 6

4w = 48

w = 48/4

w = 12 feet

Width(w) = 12 feet

We find the Length

l = 2w + 6

l = 2(12) + 6

l = 24 + 6

I = 30 feet

7 0
2 years ago
Read 2 more answers
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