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skelet666 [1.2K]
2 years ago
7

Solve with steps 5^(x+3)=25^(x-2)

Mathematics
1 answer:
Taya2010 [7]2 years ago
6 0

5^(x+3)=25^(x-2)

Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)


x + 3 = 2(x-2)

Simplify:

X + 3 = 2x -4

Add 4 to both sides:

X + 7 = 2x

Subtract x from both sides

X = 7


Answer: x = 7

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madam [21]
No.
.. √162 = (√2)*(√81)
.. √81 +√81 = 2√81 = √324

Square root is a non-linear function. sqrt(a +b) ≠ sqrt(a) +sqrt(b)
5 0
3 years ago
The length of the edge of a cube is ³√7 cm. Find the volume of a cube​
slava [35]

Answer:

7 cm^{3}

Step-by-step explanation:

volume is length X width X height

since a cube has the same measurement for length, width, and height, the volume is found by multiplying \sqrt[3]{7} X \sqrt[3]{7} X \sqrt[3]{7}

the answer is 7

8 0
3 years ago
The equation 24x2+25x−47 ax−2 =−8x−3− 53 ax−2 is true for all values of x≠ 2 a , where a is a constant. What is the value of a?
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Car leases generally allow only a certain number of miles to be driven. Myung’s lease included a charge of 25 cents per mile for
KengaRu [80]

Answer:

197

Step-by-step explanation:

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1640/25=65

Then multiply 65 and 3

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6 0
3 years ago
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numerele a, b si c sunt direct proportionale cu 2, 3 si 5. Daca media aritmetica a celor trei numere este egala cu 100, determin
Fynjy0 [20]

Answer:

a = 60

b = 90

c = 150

Step-by-step explanation:

Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.

Unde k este constantă de proporționalitate

a ∝ 2

a = 2k

b ∝ 3

b = 3k

c ∝ 5

c = 5k

Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c

= 2k + 3k + 5k / 3 = 100

= 10k / 3 = 100

Cross Multiply

= 10k = 3 × 100

= 10k = 300

Împărțiți ambele părți la 10

k = 300/10

k = 30

Pentru numărul a

a = 2k

a = 2 × 30

a = 60

Pentru numărul b

b = 3k

b = 3 × 30

b = 90

Pentru numărul c

c = 5k

c = 5 × 30

c = 150

Prin urmare, a = 60, b = 90, c = 150

3 0
4 years ago
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