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Sladkaya [172]
4 years ago
15

Z^4= -625 find the solution

Mathematics
1 answer:
KatRina [158]4 years ago
6 0

Answer:

z = 5i

Step-by-step explanation:

√-1 = i

Step 1: Write equation

z⁴ = -625

Step 2: 4th root both sides

z = \sqrt[4]{-625}

Step 3: Factor out negative

z = \sqrt[4]{625}(\sqrt[4]{-1} )

Step 4: Simplify

z = 5i

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Michael is taking a survey of students at his high school to find out how many hours they work per week. He surveys all of the s
Fofino [41]

<span>No, he should have surveyed students in his PE class since all grades are represented in that class.</span>
5 0
3 years ago
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If you spend ​$99.79​, in how many ways can you receive change from a one hundred​-dollar ​bill?
MAXImum [283]

Answer:

3 different ways

Step-by-step explanation:

100 - 99.79 = 0.21

.21 = 2 dimes and 1 penny

.21 = 4 nickels and 1 penny

.21 = 1 dimes, 2 nickels and 1 penny

3 0
3 years ago
How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?
Ede4ka [16]
The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
</span>
We can substitute the values in order for us to know how many terms the sequence has.

an = 7373
a1 = 1313
d = 303

an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
303n = 6363
n = 21

So, there are 21 terms in the sequence given.

3 0
3 years ago
A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation,
Vinvika [58]
D = 25 ft is the length of a shadow. L -  the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.


3 0
3 years ago
A tree casts shadow 26 ft long. A 3 ft tall flowers casts a shadow 4 ft long. How tall is the tree?
Rufina [12.5K]

Answer:

19. 5 feets

Step-by-step explanation:

Shadow of tree = 26 feets

Height of flower = 3 feets

Shadow of flower = 4 feets

Height of sun Innthe sky:

Shadow of flower / height of flower

= 4/3 = 1.333333

Height of tree:

Shadow of tree / height of sun

26 feets / 1.33333

= 19.5 feets

Hence, height of tree = 19.5 feets

5 0
3 years ago
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