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andreyandreev [35.5K]
3 years ago
9

Evaluate 0.53n+5 when n=3

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0
0.53(3) + 5 = <span>6.59
</span><span>6.59 is the answer.
</span>
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Nate solve the equation 3 times 5 equals 15 by writing and solving 15 divided by 5 is 3 x plane why Nate's method works
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Division is the opposite from multiplication
8 0
3 years ago
Need help on 15 and 16 PLEASEE!!!
melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...

so

a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8

The common difference is equal to

d=1/8

<u><em>Find the next three terms of the arithmetic sequence</em></u>

<u><em>Find a5</em></u>

a5=a4+d ----->a5=1/2+1/8=5/8

<u><em>Find a6</em></u>

a6=a5+d ----->a6=5/8+1/8=3/4

<u><em>Find a7</em></u>

a7=a6+d ----->a7=3/4+1/8=7/8

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

4.1,3,1.9,0.8,...?

so

a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8

a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

an=a1+d(n-1)

substitute the values

an=4.1-1.1(n-1)

For n=37

substitute

a37=4.1-1.1(37-1)

a37=4.1-1.1(36)

a37=-35.5

4 0
3 years ago
Change each mixed number or whole number to an improper fraction. ​
irina [24]

Answer:

5) 19/4

7) 49/5

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
1) 3(3x - 4) = -2(1 – 4x)
Yanka [14]
Let's solve your equation step-by-step.
3
(
3
x
−
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=
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2
(
1
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x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
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x
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(
3
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(
3
x
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+
(
3
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(
−
4
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=
(
−
2
)
(
1
)
+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
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6 0
4 years ago
Read 2 more answers
In triangle DEF measurement angle D = 45 degrees meausrement angle E = 63 degrees and EF = 24 inches. What is DE to the nearest
alexandr1967 [171]
Since the angles add to 180°, angle F is 72°.

Using the law of sines,

DF/sin72° = 24/sin45°
x = 32.28

So, did you just guess at A?

This is just an answer from another website, but it should still work.
7 0
3 years ago
Read 2 more answers
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