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irina1246 [14]
3 years ago
14

1. Write the equation c = loga(b) in exponential form.

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

Step-by-step explanRemember: logax=b⇒ab=x

in which "a" is the base of the log. 

log4 (1/16) = 4^-2 = 1/4^2 = 1/16

4 to the power of -2 is equal to 1/16.

To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D

plz mark me brainliest

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-3+1+10x= x+4<br> Solve the equation
tatuchka [14]

Answer:

x = 2/3 or 0.666...

Step-by-step explanation:

-3 + 1 + 10x = x + 4

-2 + 10x = x + 4

10x = x + 4 + 2

10x = x + 6

10x - x = 6

9x = 6

x = 6/9

x = 2/3 or 0.666...

7 0
4 years ago
Read 2 more answers
(a) Name the minor arc __________ Name the major arc ___________
iragen [17]

Answer:

Part a) minor arc: XY; major arc: XVY

Part b) 248\°

Part c) The tangent line is UV and the secant line is XY

Part d) UV=6\sqrt{5}\ units  or  UV=13.42\ units

Step-by-step explanation:

Part a) we know that

The major arc is the larger arc joining two points on the circumference of a circle. Is an arc larger than a semicircle.

The sum of major and minor arcs is the whole circle, 360°

In this problem, possible major arcs are

VYX, VXY, XVY

and the corresponding minor arcs are

VX, VY, XY

Part b) we know that

The sum of major and minor arcs is the whole circle, 360°

so

Let

x------> measure minor arc

y-------> measure of major arc

x+y=360\°

we have

x=112\°

substitute

112\°+y=360\°

y=360\°-112\°=248\°

Part c) we know that

A tangent line intersects a circle at exactly one point.

In this problem

The tangent line is UV

A secant line intersects a circle in two points.

In this problem

The secant line is XY

Part d) we know that

The <u>Intersecting Secant Theorem</u> States: When two secant lines intersect each other outside a circle, the products of their segments are equal

so

UV*UV = UX*UY

UV^{2}  = 9*(9+11)

UV^{2}  = 180

UV=\sqrt{180}\ units

Simplify

UV=6\sqrt{5}\ units  or  UV=13.42\ units

7 0
4 years ago
Which represents the recursive formula for the geometric sequence
Vilka [71]

Answer:

my quess is c

Step-by-step explanation:

but im not for sure just a guess

7 0
3 years ago
Move each shape to the best catergory of the diagram.
Mademuasel [1]

Answer:

from left to right, including the triangle placed in the rectangle section already; quadrilateral, polygon, quadrilateral, polygon, quadrilateral, rectangle

4 0
3 years ago
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

3 0
4 years ago
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