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2 years ago

Which of the following is equivalent to log 25 125?

Mathematics

1 answer:

Lina20 [59]2 years ago

4 0

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Did you mean $log_{25}$ 125, so that your base is 25? If so then all you do is ask yourself "25 to what power is 125?" since $25^{\frac{3}{2} }$ = 125, then the $log_{25}$ 125 = 3/2

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Help please I’ve been looking online for help but couldn’t find any.

alexandr1967 [171]

5 is 33 because the question ends up being 14+3+16

4 0

3 years ago

A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh

xxMikexx [17]

Answer:

$6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

dA/A = 0.0225dt

ln(A) = 0.0225t +C . . . . integrate

A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

7 0

3 years ago

Ten times the sum of half a number x and 8 is 12.

Diano4ka-milaya [45]

BREAKDOWN

10 times: 10 ×

The sum of: ( ) + ( )

which would be : 10 × ( ) + ( )

half a number: 10 × ( X/2 ) + ( )

and 8: 10 × ( X/2 ) + ( 8 )

is 12 : 10 × ( X/2 + 8 ) = 12

xxxxxxxxxxxxxxxxxxx

SIMPLIFICATION

Multiply ten: 10 X (X/2 + 8) = 12

which equals to: 5x + 80 = 12

bring the like terms together: 5x = 80 - 12

Equals: 5x = 78

Find out X:. x = 78/5

FINAL ANSWER:. X = 15.9

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6 0

3 years ago

Why is a parallelogram not the same type of quadrilateral as trapezoid

Alisiya [41]

A quadrilateral trapezoid means that there are four sides to the trapezoid. But two of those sides (which are across from each other if you were to draw it out) are not parallel, meaning that if you were to continue the lines they start from, they would eventually cross. A parallelogram means that all opposite sides are parallel. Hope this helps you!! :)

7 0

3 years ago

After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu

valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

Let p = proportion of all living alumni who favored firing the coach

SO, Null Hypothesis, $H_0$ : p = 0.50 {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, $H_A$ : p > 0.50 {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of the alumni in the sample who were in favor of firing the coach = $\frac{64}{100}$ = 0.64

n = sample of alumni = 100

So, test statistics = $\frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }$

= 2.92

Now, P-value of the hypothesis test is given by ;

P-value = P(Z > 2.92) = 1 - P(Z $\leq$ 2.92)

= 1 - 0.99825 = 0.00175

Therefore, the P-value for this hypothesis test is 0.00175.

4 0

3 years ago