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3 years ago

Please anyone help me _ Logarithm Questions

Mathematics

2 answers:

Roman55 [17]3 years ago

5 0

Step-by-step explanation:

a. log_a 64 = log_a 4³ = 3 log_a 4

= 3 (1.585) = 4.755

b. log_a 1/16 = log_a 4`² = -2 log_a 4

= -2(1.585) = -3.17

c. log_a 36 = log_a 4×9 = log_a 4 + log_a 9

= 1.585 + log_a 9

Delvig [45]3 years ago

3 0

Answer:

please mark me as brianlist

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Make U the subject of the formula D = ut + kt2

natali 33 [55]

Remark

I'm going to interpret this equation as

D = ut + kt² The only difference is the 2.

Solution

Subtract kt² from both sides.

D - kt² = ut Now divide by u on both sides.

$\dfrac{D - kt^2}{t} = \dfrac{ut}{t}$

The t's cancel out. on the right. You are left with u on the right.

$\dfrac{D - kt^2}{t} =\text{u}$

6 0

4 years ago

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0

pshichka [43]

Answer:

(a) The value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

H₀: μ = 74 vs. Hₐ: μ < 74.

The information provided is:

σ = 7

n = 25

As the population standard deviation is known, we will use a z-test for single mean.

(a)

The z-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The z-score for sample mean is given by:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

If $\bar x$ = 72.3 compute the corresponding z-score as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

$=\frac{72.3-74}{7/\sqrt{25}}\\=-1.21$

Thus, the value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b)

So the test statistic is, z = -1.21.

Compute the p-value of the test as follows:

$p-value=P(Z$

*Use a z-table.

The decision rule says to, reject the null hypothesis if the p-value is less than the significance level α = 0.01 and vice-versa.

p-value = 0.1131 < α = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0

3 years ago

Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFr

Neporo4naja [7]

Answer:

$\frac{-1}{4}$ and $\frac{-5}{8}$ are the locations higher than $\frac{-3}{4}$ foot

Step-by-step explanation:

We are given that Meg found one treasure at $\frac{-3}{4}$ foot

We are supposed to find Which of these location are higher than $\frac{-3}{4}$ foot?

i) $-\frac{7}{8}$

So, this location is not higher than $\frac{-3}{4}$ foot

ii) $-\frac{1}{4}$

So, $-\frac{1}{4}>\frac{-3}{4}$

So, this location is higher than $\frac{-3}{4}$ foot

iii) - 1 foot

$-1 < \frac{-3}{4}$

So,this location is not higher than $\frac{-3}{4}$ foot

iv)-2 feet

So,this location is not higher than $\frac{-3}{4}$ foot

v) $\frac{-5}{8}$

So, this location is higher than $\frac{-3}{4}$ foot

5 0

3 years ago

8. Madison uses 54 beads to make one necklace. If Madison has 2,185 beads, how many necklaces can she make and how many beads wo

hram777 [196]

Answer:

B) 40 necklaces with 25 left over

Step-by-step explanation:

7 0

3 years ago

How do you solve the problem 7.8%15

snow_tiger [21]

Answer:

I suppose that's 7.8% of 15.

Step-by-step explanation:

7.8/100=0.078‬

0.078‬*15=1.17

7 0

3 years ago