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Anvisha [2.4K]
3 years ago
10

Use the log table to estimate the value of log10 8.65.

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0
I think it is 86.5, but that's just me.
Afina-wow [57]3 years ago
5 0

Answer:

0.9370

Step-by-step explanation:

The logarithmic table (of base 10) is used like this:

First turn the number in scientific notation, but in this case, the number is small and already in "scientific notation", 8.65.

Take the number 8.65 and divide it, first two numbers first and then all the others, one by one.

Locate 8.6 at the left, then the next number, 5 would be at the top, if you had any other number after the 5 you would look for it in the mean difference part, and then would add the number you get, divided by 1000 to the number you found from 8.6 and 5. The image attached shows a good reference to understand this

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Find 2 consecutive odd integers such that 3 times the larger is 29 more than 3 times the smaller
AVprozaik [17]

x,\ x+2-two\ consecutive odd integers\\\\3(x+2)=3x+29\\\\3x+6=3x+29\ \ \ |-3x\\\\6=29\ \ \ FALSE\\\\Answer:\ \text{such numbers do not exist}

4 0
3 years ago
I’m having a lot of trouble, can someone guide me, step by step?
shutvik [7]

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

6 0
3 years ago
Toxaphene is an insecticide that has been identified as a pollutant in the Great Lakes ecosystem. To investigate the effect of t
Likurg_2 [28]

Answer:

This data suggest that there is more variability in low-dose weight gains than in control weight gains.

Step-by-step explanation:

Let \sigma_{1}^{2} be the variance for the population of weight gains for rats given a low dose, and \sigma_{2}^{2} the variance for the population of weight gains for control rats whose diet did not include the insecticide.

We want to test H_{0}: \sigma_{1}^{2} = \sigma_{2}^{2} vs H_{1}: \sigma_{1}^{2} > \sigma_{2}^{2}. We have that the sample standard deviation for n_{2} = 22 female control rats was s_{2} = 28 g and for n_{1} = 18 female low-dose rats was s_{1} = 51 g. So, we have observed the value

F = \frac{s_{1}^{2}}{s_{2}^{2}} = \frac{(51)^{2}}{(28)^{2}} = 3.3176 which comes from a F distribution with n_{1} - 1 = 18 - 1 = 17 degrees of freedom (numerator) and n_{2} - 1 = 22 - 1 = 21 degrees of freedom (denominator).

As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.

8 0
3 years ago
Which is the better value, 2 books for $18 or 6 books for $45? Explain. {hint: make two tables; compare} (1 pt.) RP.1.3 b a.2 bo
Musya8 [376]

Answer:

I am a little confused by your question but if you were getting less it would be the first but more would be the second

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve the equation and justify each step: <br><br><img src="https://tex.z-dn.net/?f=%20%28x%20%2B%203%29%5E%7B2%7D%20%20%2B%205%
Andreas93 [3]

Answer:

x=i√33−3,−i√33−3

hope this helps :)

Step-by-step explanation:

Subtract 5 from both sides of the equation.

(x+3)2=−28−

5 Subtract 5 from −28.

(x+3)2=−33

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x+3=±√−33

Simplify the right side of the equation.

x+3=±i√33

The complete solution is the result of both the positive and negative portions of the solution.

x=i√33−3,− i√33 −3

5 0
3 years ago
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