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Vedmedyk [2.9K]
3 years ago
5

Solving the equation and something to do with log

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

m= 1/2.

Step-by-step explanation:

To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.

We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:

5^{3(2m)} = 5^{2(m+1)} Distribute the exponents to get:

5^{6m} = 5^{2m+2}

Now, we can simply ignore the '5' and solve for 'm':

6m= 2m+2

4m= 2

m= 1/2.

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0.34 in percent using Dr Pepper
Leno4ka [110]

Answer:

34%

Step-by-step explanation:

0.34 to turn to a percent move the decimal two times to the right

3.4 (decimal moved one time)

34 (decimal moved two times)

5 0
3 years ago
a book case is to have 4 shelves including the top, the width is to be 13 feet less than 4 times the hieght, find the width and
Leni [432]

Answer:

I get x = 16/7 ft or about 2.29 ft for the width and 4.29 ft for the height.

Step-by-step explanation:


7 0
3 years ago
What is the positive solution to this equation?<br><br> 3x^2+16x=112
ikadub [295]

Answer:

This equation is in standard form: ax 1+bx+c=0. Substitute 9 for a, 16 for b, and −112 for c in the quadratic formula 2a−b±b2−4ac.x= 2×9−16± 16^2−4×9(−112)Square 16.x=2×9−16±256−4×9(−112) Multiply −4 times 9.x=2×9−16± 256−36(−112) Multiply −36 times −112.x=2×9−16±256+4032 Add 256 to 4032.x=2×9−16±4288 Take the square root of 4288.x=2×9−16±8+67 Multiply 2 times 9x=18−16±8=67

Step-by-step explanation:

hope this help if not let me know

6 0
3 years ago
Read 2 more answers
Please answer this question<br><br> K = C + 273.15<br> Solve for C
jonny [76]

Answer:

C = K − 273.15  !!!!!

Yes, Its the equation, since we do not have either varibles it is written out like so

Step-by-step explanation:

By simplifying both sides of the equation, then isolating the variable.

4 0
3 years ago
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Describe the shape resulting from a vertical, angled, and , horizontal cross section of a rectangular prism.
Dennis_Churaev [7]
For example, lets say:
L = 10
H = 6
W = 4

Imagine the shape is facing slightly towards your left
A left vertical cross section (perpendicular to the base) of the cuboid would result in a 10 by 6 rectangle
A right vertical cross section (perpendicular to the base) of the cuboid would result in a 6 by 4 rectangle
A horizontal cross section (parallel to the base) of the cuboid would result in a 10 by 4 rectangle
An angled cross section (through the middle) would also give a rectangle but the dimensions would be different. If the cut went from one '4' edge to the one in the opposite corner, the length of that would be found using Pythagoras
a² + b² = c²
6² + 10² = c²
36 + 100 = 136
√136 ≈ 11.66cm
11.66 by 4 rectangle

The shows that the resulting shape will always be a rectangle for these cross sections.
<em>The only case in which it would not, would be if one of the faces of the cuboid was a square - in which case one of the cross sections would also be a square.</em>

6 0
4 years ago
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