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quester [9]
3 years ago
8

30 POINTS. Please simplify this with all steps

0" id="TexFormula1" title="( \frac{5i^3t^4}{7})-2 " alt="( \frac{5i^3t^4}{7})-2 " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
lesantik [10]3 years ago
8 0
Simplify the following:
(5 i^3 t^4)/7 - 2
i^3 = i^2×i = (-1) i = -i:
(5×-i t^4)/7 - 2
Put each term in (5 (-i) t^4)/7 - 2 over the common denominator 7:
(5 (-i) t^4)/7 - 2 = (-5 i t^4)/7 - 14/7:
(-5 i t^4)/7 - 14/7
(-5 i t^4)/7 - 14/7 = (-5 i t^4 - 14)/7:
Answer:  (-5 i t^4 - 14)/7
Brrunno [24]3 years ago
3 0
I^3= -1 
\frac{5i^{3}t^{4}  }{7} = -\frac{5it^4}{7}

\frac{5i^{3}t^{4} }{7} = -\frac{5it^4}{7} = answer-2- \frac{5t^4}{7}i
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How do I find a2 and a3 for the following geometric sequence? 54, a2, a3, 128
vlada-n [284]
The formula for the nth term of a geometric sequence:
a_n=a_1 \times r^{n-1}
a₁ - the first term, r - the common ratio

54, a_2, a_3, 128 \\ \\
a_1=54 \\
a_4=128 \\ \\
a_n=a_1 \times r^{n-1} \\
a_4=a_1 \times r^3 \\
128=54 \times r^3 \\
\frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\
\frac{64}{27}=r^3 \\
\sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\
\frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\
r=\frac{4}{3}

a_2=a_1 \times r= 54 \times \frac{4}{3}=18 \times 4=72 \\
a_3=a_2 \times r=72 \times \frac{4}{3}=24 \times 4=96 \\ \\
\boxed{a_2=72, a_3=96}
7 0
3 years ago
Read 2 more answers
Find the distance between the two points.<br> (-6, – 7), (0,0)
Elden [556K]

Answer:

√85

Step-by-step explanation:

for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)

// use the pythagoream theorem to find the length

the distance of the leg on the x-axis is 6  (calculate 0-(-6))

the distance of the leg that is dropping down is -7 (calculate 0-(-7))

then we have 2 legs and need to find the hypotenuse.

Pythagorean theorem a^2 + b^2 = c^2

substitute :

6^2 + 7^2 = c^2

36+49 = 85

c= √85

8 0
3 years ago
Lisa and Bill made 60 magnets for a craft fair. They sold about 55% of the magnets. Lisa says they sold about 30 magnets. Bill s
koban [17]

Answer:

Step-by-step explanation:

The total number of magnets that Lisa and Bill made for the craft fair is 60.

They sold about 55% of the magnets. The number of magnets that they sold would be about

55/100 × 60 = 0.55 × 60 = 33

If Lisa says that they sold about 30 magnets, she is correct because if we round off 33 to the nearest ten, it would be 30 magnets.

If Bill says that they sold about 36 magnets, he is wrong because if we round off 36 to the nearest ten, it would be 40 magnets.

5 0
3 years ago
GIVING 20 POINTS AWAY PLEASE HELP ME WITH THIS QUESTION ASAP!!
Stolb23 [73]

Answer:

D 144 in hope this helps you on your test

8 0
3 years ago
The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g
Slav-nsk [51]
Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
6 0
3 years ago
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