what is the radius of a sphere whose surface area is 100cm²?

Given:

[tex]x=\log_{10}31,500[/tex]

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

[tex]x=\log_{10}31,500[/tex]

It can be written as

[tex]x=\log_{10}(2^23^25^37)[/tex]

[tex]x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)[/tex]     [tex][\because \log(ab)=\log a+\log b][/tex]

[tex]x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)[/tex]

[tex]x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451[/tex]

[tex]x=4.49835[/tex]

Clearly, the value of x lies between 4 and 5. So, [tex]x>4[/tex] and [tex]x<5[/tex].

Therefore, the correct options are C and D.

The true statements are: (c) x > 4 and (d). x < 5

The logarithmic expression is given as:

[tex]x = \log_{10}(31500)[/tex]

Express 31500 as a product of 100

[tex]x = \log_{10}(315 * 100)[/tex]

Apply the law of logarithm

[tex]x = \log_{10}(315) + \log_{10}(100)[/tex]

Evaluate log 100 base 10

[tex]x = \log_{10}(315) + 2[/tex]

Evaluate log 315 base 10

[tex]x = 2.50 + 2[/tex]

Add the expressions

[tex]x \approx 4.50[/tex]

4.5 is greater than 4 and less than 5

Hence, the true statements are: (c) x > 4 and (d). x < 5

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Answer:

Step-by-step explanation:

6-$10 12-$20 15-$25

part 2 $40

Step-by-step explanation:

Subtract a from both sides

a-a+b-___=a-a

b-__=0

b=___

answer:b

Hope that helps :)

It's b. It's a + b - b = a.

At Dela's Dell, Dela fills containers with homemade vinaigrette salad dressing. The correct option is: O Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

To find out how much vinegar and olive oil will be used to make 4 containers of salad dressing, we need to calculate the total amount of vinegar and olive oil used per container and then multiply it by the number of containers.

From the table, we can see that for each container, 2 teaspoons of vinegar and 6.5 teaspoons of olive oil are used.

To find the total amount of vinegar and olive oil for 4 containers, we multiply these amounts by 4:

Vinegar: 2 teaspoons/container * 4 containers = 8 teaspoons

Olive Oil: 6.5 teaspoons/container * 4 containers = 26 teaspoons

Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

The correct option is: O Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

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Answer:

£153

Step-by-step explanation:

If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.

Answer:

u = 8w-16 /-12        or  =  - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.

Step-by-step explanation:

-12u -13 = 8w-3

-12u+13 -13 = 8w-3-13     Eliminate -13 by +13 both sides

-12u = 8w-16                      So you are left with one value left side.

-12u/-12  =  8/-12 - 16/-12   Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .

u = 8w-16 /-12                   Then you can factor out the rest

This has made u the independent variable then you have a choice to continue showing or ignore u; as u =

=       -  8(w-2)/12       Step 1   Factor with subtraction change from -12  to - central fraction

=         - 2(w-2)/3      Step 2   Simplify with new minus sign for central fraction to replace a/-b

Answer:

The answer is W = -3/2u + 2

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

2x - 3 = 5(x + 6)

2x - 3 = 5x + 30

-33 = 3x

x = -11

Answer:

x= -11

Step-by-step explanation:

1. Expand and distribute.  

2x - 3 = 5x + 30

2.  Subtract 2x from both sides.

2x - 3 = 5x + 30

-2x        -2x

---------------------

    -3 =  3x + 30

4 Subtract 30 from both sides.

-3 =  3x + 30

-30           -30

---------------------

-33 = 3x      

6. Divide both sides by 33.

-33/3 = 3x/3

-11 = x

7. Switch sides

x = -11

Answer:

I would say about B. 31 cm

Step-by-step explanation:

if you cut the shape into a triangle and a parallelogram, then you can easily guess that the other side of the square is about 4, and 4 x 4 is 16.. then you will multiply 8 by 4 and get 32 and then divide that by 2 and get 16 again, when you add both 16's together, you get 32, but 31 is closest

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845

Answer:

2/5

Step-by-step explanation:

dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd

Step-by-step explanation:

8/20=4/10=2/5

done by cancelling

hope it helps

Answer:

13,000 i think

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

Answer: Thats cool.

Step-by-step explanation:

Answer:

A) The first function (the quadratic one) is growing more rapidly.

B) Between x=0 and x=1.

C) We can assume that they don't intersect again.

Step-by-step explanation:

A)

The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.

B)

Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)

C)

We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.

Answer:68

Step-by-step explanation:

Answer: 297 i believe i am a little rusty at this  

Answer:

the answer is D

Step-by-step explanation:

i got it right and so would you ;)

The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.

If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits;

[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]

The confidence interval for the mean of the population is (40.5, 41.5).

Hence,option D is correct.

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Answer:

[tex]\sqrt{21m^{17} } = 3m \sqrt[17]{7m}[/tex]

(look attachment)

A maze game can be constructed successfully by abiding by the specified guidelines in a systematic manner. Here is a comprehensive guide consisting of multiple steps to create it:

1. Initially, plot the initiation point and conclusion point across different quadrants.

2. Commence the game: Participants must start from the starting point and locate the ending spot through the shortest possible route.

3. Illustrate two sample games through drawing colored paths utilizing pencils or markers which should then be described using coordinates for each route.

4. Compute the overall distance travelled by extracting geographical details available from the used path's coordinates via the distance formula.

5. Finally, determine the most concise path course among all other alternatives.

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Answer: 6

Step-by-step explanation:

2/3 of 9 is basically 2/3 times 9

Answer:

6, because this and that is this and that bam boom bap, just trust me bro

Answer:

A because i can boy or girl im just tired

Answer:

8 triangles

Step-by-step explanation:

1 Triangle = 2 needed to be solve. 4 triangle × 2 =8.

Answer:

The following statements are true.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers

Answer: B. 6 - 7i

Step-by-step explanation:

The complex conjugate of the given graph of the complex number is 6-7i.

We have given that,

7 – 6i

6 – 7i

–7 + 6i

–6 + 7i

We have to determine the conjugate of z.

changing the sign of the imaginary part of the complex number. To find the complex conjugate of 4+7i we change the sign of the imaginary part. Thus the complex conjugate of 4+7i is 4 - 7i.

Therefore the complex conjugate of the given graph of the complex number is 6-7i.

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Answer:

60 seconds? 1 minute?

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

second to minute: 1 min / 60 sec

example: 3600 sec = (3600 sec / 1) * (1 min / 60 sec)

                                = (3600 * 1 min) / (1 * 60)

                                = 60 min

minute to sec: 60 sec / 1 min

example: 5 min = (5 min / 1) * (60 sec / 1 min)

                                = (5 * 60 sec) / (1 * 1)

                                = 300 sec

Answer:

A. y = 2.5(2)^x

Step-by-step explanation:

Given that when

x = 1, f(x) =  5

x = 2, f(x) =  10

x = 3, f(x) =  20

x = 4, f(x) =  40

x = 5, f(x) =  80

x = 6, f(x) =  160

Considering all the options

y = 2.5(2)^x

Substitute x = 1

y = 2.5(2)^1 = 2.5 *2 = 5

Substitute x = 2

y = 2.5(2)^2 = 2.5 * 4 = 10

Substitute x = 3

y = 2.5(2)^3 = 2.5 * 8 = 20

Substitute x = 6

y = 2.5 (2)^6

= 2.5 * 64

= 160

Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x

Answer:

101.6 (option b)

Step-by-step explanation:

12 * 3 = 36

36 + 4 = 40

40 * 2.54 = 101.6

(3)^-2 (27)

the answer is C) 3