How much wax is needed to make one spherical candle?

Bearing in mind that when the base is omitted, base 10 is assumed, or namely log(x) = log₁₀(x).

[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\log_{10}(2)=0.3010\qquad \qquad \log_{10}(3)=0.4771 \\\\[-0.35em] ~\dotfill\\\\ \log_{10}\left( \cfrac{4}{9} \right)\implies \log\left( \cfrac{4}{9} \right)\implies \log\left[ \cfrac{2^2}{3^2} \right]\implies \log\left[ \left( \cfrac{2}{3} \right)^2 \right]\implies 2\log\left[ \cfrac{2}{3}\right] \\\\\\ 2[\log(2)-\log(3)]\implies 2[0.3010~~ - ~~0.4771]\implies -0.3522[/tex]

The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that the mileage on Ori's car is 73,033 miles.

We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.

Therefore, the mileage on Ori's car = 73,033 miles.

identical digits = 40

The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.

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Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with a positive test are:

Hence:

[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]

The probability of both a positive test and the body attempting to reject the kidney is:

[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]

0.7921 = 79.21% probability that the body is attempting to reject the kidney.

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Answer:

fluffy is the longest snake.

muffy is 900 millimeters longer than  fluffy

Step-by-step explanation:

PA BRAINLIEST

HOPE ITS HELP

GOD BLESS

Answer:

Step-by-step explanation:

h = 44sin13 = 9.89784... = 9.90 ft

~fractions

= 2 ÷ 10

= B. 0,2 ✔️

the method is attached

~ nice to help you ^^

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]

well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.

Check the picture below.

Answer:

Step-by-step explanation:

To find the possibilities, you would see that you would have two yellow shirts and two green shirts with different trousers, so you can eliminate the bottom two. And because there will be two of each shirt with defferent trousers, it will be the same for trousers: two of each trouser will be in the possibilities. The only one that fits this description, is the first one.

yellow shirt, white trouser

yellow shirt, black trouser

green shirt, white trouser

green shirt, black trouser

Answer:

40:140

Step-by-step explanation:

The explanation.is in the diagram above

Answer:

[tex]y=\frac{1}{3} x-1.[/tex]

Step-by-step explanation:

if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:

[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]

2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:

[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]

or in slope-interception form:

[tex]y=\frac{1}{3} x-1.[/tex]

Answer:

0.5256

Step-by-step explanation:

X ~ B(10,0.75)

q = 1 - 0.75 = 0.25

Step-by-step explanation:

the rules of logarithm.

log(a×b) = log(a) + log(b)

log(a^b) = b×log(a)

2×log(x) = log(16) + log(4)

now, using the above knowledge :

log(x²) = log(16×4)

=>

x² = 16×4 = 64

x = ±8

and since a logarithm of a negative number is undefined the only plausible solution is

x = 8

Answer:

its triangle ABC and XYZ

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

To find the mean, you add up all the numbers and divide that by the number of numbers there are.

In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]

There are 8 numbers.

Thus, the mean is 48 ÷ 8 = 6

Hey there!

When you hear/see the word “mean” in mathematics it usually means “average” or “total”.

Formula: sum of the total numbers ÷ total numbers in the data plot

YOUR EQUATION:

3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8

= 20 + 9 + 6 + 6 + 7 ÷ 8

= 29 + 6 + 6 + 7 ÷ 8

= 35 + 6 + 7 ÷ 8

= 41 + 7 ÷ 8

= 48 ÷ 8

= 6

Therefore, your mean is: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

you cant factorise both of them as they have nothing in common

Answer:

x = 5

Step-by-step explanation:

5x + 5 = x + 25

subtract 5 from both sides

5x = x + 20

subtract x from both sides

4x = 20

divide both sides by 4

x= 20/4

x= 5

a = 18

d = 16 - 18 = -2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20

Answer:

where?

Step-by-step explanation:

maybe I can help to your question

Answer:

10) x=9

11) x=25

Step-by-step explanation:

a triangle is 180º total

10)   2x+8x+90=180

10x=90

x=9

11) 3x+1+2x+2+2x+2=180

7x+5=180

7x=175

x=25

Answer:

4x + 10 >1

-10. -10

4x < -9

Step-by-step explanation:

make sure to make it less than or equal to

Answer:

Only one must be true

Step-by-step explanation:

Answer:

B I think.

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The figure B is just one 90° rotation away from becoming A, i.e.,

If we rotate B 90° counterclockwise, we get A.

To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360

So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)

That means,

[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]

(angle of rotation is the angle which A turns about in order to line itself with B)

_________________

That makes it 270°

A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is

53(2x + 2) – 10 ≥ 2x + 2(23x + 2)

Apply the distributive property

106x+106-10≥ 2x + 46x+4

Add the like terms

106x+96≥ 48x+4

Take all common variables on one side

106x-48x≥4-96

106x-48x is 58 and 4 minus 96 is minus 92.

58x≥-92

x≥-92/58

Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

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Answer:

1/6 because 3 is one of the sides of the 6

The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

It is a branch of mathematics that deals with the occurrence of a random event.

There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.

The total number of possible outcomes is 6, since there are six sides on the die.

Therefore, the odds against rolling a 3 are:

5:1

This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:

P(not rolling a 3) = 5/6

Alternatively, the probability of rolling a 3 is 1/6, so we can also say:

P(rolling a 3) = 1/6

And the probability of not rolling a 3 is:

P(not rolling a 3) = 1 - P(rolling a 3)

= 1 - 1/6

= 5/6

Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

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