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DiKsa [7]
2 years ago
15

What is the value of x in this equation? Enter your answer in the box.

Mathematics
1 answer:
katrin [286]2 years ago
4 0

Answer:

6

Step-by-step explanation:

(2.4×10³)×(3×10^x)=7.2×10^9

(3x10^x)=(7.2×10^9)/(2.4×10^3)

3×10^x=3×10^6

10^x=10^6

*when bases are same ,powers are equated*

thus x=6

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What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5?
son4ous [18]
F(x) = -4sin(2x + π) - 5

<u>Amplitude</u>
A = -π

<u>Period</u>
<u>2π</u> = <u>2π</u> = π
 B      2

<u>Phase Shift</u>
<u>-C</u> = <u>-π</u> = ≈ 1.57<u>
</u> B      2<u>
</u>
3 0
3 years ago
Read 2 more answers
Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.
lbvjy [14]
Hello,

1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)

4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)

5:
From the vertex to ∞
[-1/4 , ∞)
7 0
3 years ago
I need help with #47 to #50 ASAP…. Please help me with it
Ksenya-84 [330]

Step-by-step explanation:

a triangular number n is the sum of all natural numbers <= n.

t1 = 1

t2 = 1+2 = 3

t3 = 1+2+3 = 6

t4 = 1+2+3+4 = 10

...

so,

tn = tn-1 + n

47.

1×8 + 1 = 9 is a square number.

3×8 + 1 = 25 is a square number

6×8 + 1 = 49 is a square number

10×8 + 1 = 81 is a square number

48.

1/3 = 0 remainder 1

3/3 = 1 remainder 0

6/3 = 2 remainder 0

10/3 = 3 remainder 1

15/3 = 5 remainder 0

21/3 = 7 remainder 0

28/3 = 9 remainder 1

so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...

49.

1/4 = 0 remainder 1

4/4 = 1 remainder 0

9/4 = 2 remainder 1

16/4 = 4 remainder 0

25/4 = 6 remainder 1

36/4 = 9 remainder 0

49/4 = 12 remainder 1

so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...

50.

polygonal numbers is the real name for this.

the formula for dimensions = 5 is

(3n² − n)/2

for dimensions = 6 it is

2n² - n

so, dimensions=5 (and therefore dividing also by 5) we get the remainders

1/5 = 0 remainder 1

5/5 = 1 remainder 0

12/5 = 2 remainder 2

22/5 = 4 remainder 2

35/5 = 7 remainder 0

51/5 = 10 remainder 1

70/5 = 14 remainder 0

92/5 = 18 remainder 2

117/5 = 23 remainder 2

145/5 = 29 remainder 0

here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...

dimensions=6 (and therefore dividing also by 6) we get the remainders

1/6 = 0 remainder 1

6/6 = 1 remainder 0

15/6 = 2 remainder 3

28/6 = 4 remainder 4

45/6 = 7 remainder 3

66/6 = 11 remainder 0

91/6 = 15 remainder 1

120/6 = 20 remainder 0

153/6 = 25 remainder 3

190/6 = 31 remainder 4

231/6 = 38 remainder 3

276/6 = 46 remainder 0

325/6 = 54 remainder 1

here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...

8 0
3 years ago
A researcher asks participants to estimate the calories they consume in a meal. The researcher records the following estimates:
aleksley [76]

Answer:

Increase

Step-by-step explanation:

The researcher records the following estimates: 450, 426, 310, 500, and 220.

The mean of these estimates is derived below.

Mean = (450+426+310+500+220)/5

=1906/5=381.2

If the researcher removes the estimate of 220.

The mean of the other numbers will be:

Mean =(450+426+310+500)/4

=1686/4=421.5

By comparison of the two mean, we can see that the value of the mean will increase.

3 0
3 years ago
11(n – 1) + 35 = 3n<br><br> n = –6<br> n = –3<br> n = 3<br> n = 6
vlada-n [284]

Answer:

n =  -3

(second option listed)

Step-by-step explanation:

first, we will distribute the 11 (n-1)

11 (n - 1) + 35 = 3n

11n - 11 + 35 = 3n

Now, we will combine -11 and 35 (because they are like terms)

11n + 24 = 3n

Now, to isolate x as a positive, I will subtract 3n from both sides

11n + 24 = 3n

- 3n           - 3n

8n + 24 = 0

Now, I will subtract 24 from both sides to isolate n

8n + 24 = 0

      - 24    - 24

8n = -24

Now, we will divide both sides by 8 to find "n"

8n  = -24

÷8       ÷8

n = -3

This means that n is equal to -3

(n =  -3)

5 0
1 year ago
Read 2 more answers
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