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k0ka [10]
3 years ago
10

Pls help. Question above

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

m =  \frac{5}{2}

Step-by-step explanation:

Here are the laws which would be used in this question:

<u>Indices:</u>

• \sqrt{a}  =   {a}^{ \frac{1}{2} }

• \frac{1}{a}  =  {a}^{ - 1}

<u>Logarithm</u>

• log_{a}( {x}^{n} )  = n log_{a}(x)

log_{m}( \sqrt{2} )  +  log_{m}(8)  +  log_{m}( \frac{1}{2} )

=  log_{m}( {2}^{ \frac{1}{2} } )  +  log_{m}( {2}^{3} )  +  log_{m}( {2}^{ - 1} )

=  \frac{1}{2}  log_{m}(2)  + 3 log_{m}(2)   -  log_{m}(2)

=  \frac{5}{2}  log_{m}(2)

GrogVix [38]3 years ago
6 0
What is this type of math called please and what year/grade if you don’t mind me asking so I can be prepared
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Please help mee pleaseee
nalin [4]

Answer:

The exact answer in terms of radicals is x = 5*\sqrt[3]{25}

The approximate answer is x \approx 14.62009 (accurate to 5 decimal places)

===============================================

Work Shown:

Let y = \sqrt[5]{x^3}

So the equation reduces to  -7  = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since y = \sqrt[5]{x^3} and y = 5, this means we can equate the two expressions and solve for x

y = 5

\sqrt[5]{x^3} = 5

x^3 = 5^5 Raise both sides to the 5th power

x^3 = 3125

x = \sqrt[3]{3125} Apply cube root to both sides

x = \sqrt[3]{125*25}

x = \sqrt[3]{125}*\sqrt[3]{25}

x = \sqrt[3]{5^3}*\sqrt[3]{25}

x = 5*\sqrt[3]{25}

x \approx 14.62009

4 0
3 years ago
Read 2 more answers
Simple interst for $750 at 6.5 interest for 3 years
ser-zykov [4K]
Considering that you mean 6.5% interest yearly, the interest gained would be:
$146.25

and the total amount would be $896.25

Hope this helped!
4 0
3 years ago
Read 2 more answers
10 (2)+1(2)<br><br> how do u solve this problem?
Ilya [14]

Answer:22

Step-by-step explanation:

10x2+1x2=

20+2

=22

4 0
1 year ago
Read 2 more answers
Cathrine has £7000 to invest.
Anvisha [2.4K]
Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517
4 0
3 years ago
please just give me the answer is homework please help1)vertex 2)axis of symmetry 3)x-intercepts 4)maximum or minimum 5)max/min
aniked [119]

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.

6 0
1 year ago
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