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3 years ago

Is there any positive number b so that the expression logb (0) makes sense? Explain how you know?

Mathematics

1 answer:

topjm [15]3 years ago

7 0

Answer:

No.

Step-by-step explanation:

The logarithm of a number to the base b of a certain number is the exponent

to which the base b is raised to equal the given value.

So say we have logb y = a, then

y = b^a

So if y = 0 then

0 = b^a

If b is a positive number then there is no value of a that makes y = 0.

for example y = b^0 = 1, y = b^1 = b etc.

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Kim has a strong first serve; whenever it is good (that is, in) she wins the point 70% of the time. Whenever her second serve is

mestny [16]

Lets put ti this way:
P[1st serve good & wins point] = 60% * 70% = 42% = A
P[2nd serve good & wins point] = 40% * 76% *57% = 17.328% = B 

1. P[win point] = A+B = C = 59.328% <------- 
2. P[1st serve good | win point ] = A/C = 42 / 59.328 = 0.707 or 70.7%
Please remember that 2nd serve come into use only if 1st serve is not good

4 0

3 years ago

Calculate the following without the use of a calculator /

11111nata11111 [884]

Answer:

Step-by-step explanation:

6 - (-4) - 5 =

= 6 + 4 - 5

= 10 - 5

= 5

4 0

3 years ago

The expression (2x2)3 is equivalent to _____. a.6x2 b.6x5 c.8x6

nignag [31]

Answer:

Step-by-step explanation:

(2x2)3

= (4)3

=12

6x2 = 12

So the answer is A

4 0

3 years ago

Read 2 more answers

Es matemáticas, suma y resta de fracciones Ayuda porfa

Vesnalui [34]

$\bold{\huge{\purple{\underline{ Solutions }}}}$

<h3>Solution (a) :-</h3>

$\bold{\dfrac{ 7}{6}}{\bold{ + }}{\bold{\dfrac{ 2}{5}}}$

By taking LCM of the given denominators

$\sf{ = \:}{\sf{\dfrac{ 35 + 12 }{30}}}$

$\sf{ =\: }{\sf{\red{\dfrac{ 47 }{30}}}}$

Hence, The answer is 47/30

<h3>Solution ( b) :-</h3>

$\bold{\dfrac{ 1}{7}}{\bold{ + }}{\bold{\dfrac{ 1}{8}}}$

By taking LCM of the given denominators

$\sf{ =\: }{\sf{\dfrac{ 8 + 7 }{56}}}$

$\sf{ =\: }{\sf{\red{\dfrac{ 15}{56}}}}$

Hence, The answer is 15/56

<h3>Solution ( c) :-</h3>

$\bold{\dfrac{ 7}{13}}{\bold{ + }}{\bold{\dfrac{ 5}{10}}}$

By taking LCM of the given denominators

$\sf{=\:}{\sf{\dfrac{ 70 + 65 }{130}}}$

$\sf{ = \:}{\sf{\dfrac{ 135}{130}}}$

$\sf{ =\:}{\sf{\red{\dfrac{ 27}{26}}}}$

Hence, The answer is 27/26

<h3>Solution ( d) :-</h3>

$\bold{\dfrac{ 7}{5}}{\bold{ - }}{\bold{\dfrac{ 1}{3}}}$

By taking LCM of the given denominators

$\sf{ =\:}{\sf{\dfrac{ 21 - 5 }{15}}}$

$\sf{ = \:}{\sf{\red{\dfrac{ 16}{15}}}}$

Hence, The answer is 16/15

<h3>Solution ( e) :-</h3>

$\bold{\dfrac{ 8}{7}}{\bold{ - }}{\bold{\dfrac{ 9}{11}}}$

By taking LCM of the given denominators

$\sf{=\:}{\sf{\dfrac{ 88 - 63}{77}}}$

$\sf{=\:}{\sf{\red{\dfrac{ 25}{77}}}}$

Hence, The answer is 25/77

<h3>Solution ( f) :-</h3>

$\bold{\dfrac{ 11}{4}}{\bold{ - }}{\bold{\dfrac{ 1}{9}}}$

By taking LCM of the given denominators

$\sf{=\:}{\sf{\dfrac{ 99 - 4}{36}}}$

$\sf{ =\: }{\sf{\red{\dfrac{ 95}{36}}}}$

Hence, The answer is 95/36

3 0

2 years ago

Read 2 more answers

Find the volume of the solid that lies under the hyperbolic paraboloid z=3y2−x2+6 and above the rectangle R=[−1,1]×[1,2].

Gekata [30.6K]

Answer:

The volume of the solid is $\frac{76}{3} u^3$

Step-by-step explanation:

The requested volume can be calculated through an iterated integral of the function that defines the solid. For such an iterated integral, the integration region defined by the rectangle $[-1,1] X [1,2]$ is taken in the plane XY. In this way the volume of the solid is:

$\int _1^2\left[\int _{-1}^1\:\left(3y^2-x^2+6\right)dx\right]dy = \int _1^2[12-\frac{2}{3}+6y^2]dy\right = \frac{76}{3} u^3$

4 0

3 years ago