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irakobra [83]
3 years ago
6

40 POINTS!

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

Answer:

he do what he do tho

Step-by-step explanation:

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Use ΔDEF, shown below, to answer the question that follows
AVprozaik [17]
Using sine rule, 55 / sin 90 = x / sin(90 - 49)
55 / 1 = x / sin 41
x = 55 sin 41 = 36.08
8 0
3 years ago
Write the six terms of each arithmetic sequencePlease see picture for question
chubhunter [2.5K]

ANSWER

The six terms for the arithmetic sequence is 1.6, 1.2, 0.8. 0.4, 0, -0.4

EXPLANATION

Given that;

\begin{gathered} a_n\text{ = a}_{n\text{ - 1}}\text{ - 0.4} \\ \text{ a}_1\text{ = 1.6} \end{gathered}

To find the second term, let n = 2

\begin{gathered} \text{ a}_2\text{ }=\text{ a}_{2\text{ - 1}}\text{ - 0.4} \\ \text{ a}_2\text{ }=\text{ a}_1\text{ - 0.4} \\ \text{ a}_1\text{ = 1.6} \\ \text{ a}_2\text{ }=\text{ 1.6 - 0.4} \\ \text{ a}_2\text{ }=\text{ 1.2} \end{gathered}

To find the third term, let n = 3

\begin{gathered} \text{ a}_3\text{ }=\text{ a}_{3\text{ - 1}}\text{ - 0.4} \\ \text{ a}_3\text{ }=\text{ a}_2\text{  - 0.4} \\ \text{ a}_2\text{ = 1.2} \\ \text{ a3 }=\text{ 1.2 - 0.4} \\ \text{ a}_3\text{ = 0.8} \end{gathered}

To find the fourth term, let n = 4

\begin{gathered} \text{ a}_4\text{ }=\text{ a}_{4-\text{ 1}}\text{ - 0.4} \\ \text{ a}_4\text{ = a}_3\text{ - 0.4} \\ \text{ a}_3\text{ = 0.8} \\ \text{ a}_4\text{ = 0.8 - 0.4} \\ \text{ a}_4\text{ = 0.4} \end{gathered}

To find the fifth term, let n = 5

\begin{gathered} \text{ a}_5\text{ = a}_{5\text{ - 1}}\text{ - 0.4} \\ \text{ a}_5\text{ }=\text{ a}_4\text{ - 0.4} \\ \text{ a}_4\text{ = 0.4} \\ \text{ a}_5\text{ = 0.4 - 0.4} \\ \text{ a}_5\text{ = 0} \end{gathered}

To find the 6th term, let n = 6

\begin{gathered} \text{ a}_6\text{ }=\text{ a}_{6\text{ - 1}}\text{ - 0.4} \\ \text{ a}_6\text{ = a}_5\text{ - 0.4} \\ \text{ a}_5\text{ = 0} \\ \text{ a}_6\text{ = 0 - 0.4} \\ \text{ a}_6\text{ = -0.4} \end{gathered}

Hence, the six terms for the arithmetic sequence is 1.6, 1.2, 0.8. 0.4, 0, -0.4

5 0
1 year ago
A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Nikitich [7]

(4x³ + 9xy + 8y) - (3x³ + 5xy - 8y) =

= 4x³ + 9xy + 8y - 3x³ - 5xy + 8y =

= 4x³ - 3x³ + 9xy - 5xy + 8y + 8y =

= x³ + 4xy + 16y ← the end answer

3 0
3 years ago
Read 2 more answers
Rohan is baking chocolate chip cookies he found a recipe that calls for 3.75 cups of sugar and it serves five people if he wants
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Answer:

Rohan Kishibe needs 9 cups of flour

Step-by-step explanation:

Divide 3.75 by 5 and multiply it by 12

Also are you jojo fan

7 0
3 years ago
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