Solve for x in ½ logx64 = 3


(A)
2


(B)
1


(C)
4


(D)
3

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

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Answer:

Option A

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

The hypotenuse is 17.

Step-by-step explanation:

a^2+b^2=c^2.

Let's plug in a and b.

15^2 + 8^2 = c^2

Simply.

225+64=c^2

Add.

289=c^2.

Square 289 and c^2 to cancel out the ^2.

17=c

The hypotenuse is 17.

Hope I helped. :)

Answer:

The answer is 12 ounces :)

Step-by-step explanation:

Answer:

19 2/3

Step-by-step explanation:

32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

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This is the formula for circumference of circle

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

Answer:

A two-way table is a way to display frequencies for two different categories gathered from a one group of people.

Step-by-step explanation:

Answer:

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Step-by-step explanation:

Answer:

35.113 km per hour is the correct answer

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

Answer:

b

Step-by-step explanation:

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

Answer:

127

Step-by-step explanation:

We started at 7

We keep going up 3

multiply

[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term

Answer:

I believe its 127?

Step-by-step explanation:

I solved this by 7+3x40 and that was my answer.

Please tell me if its wrong, if so tell me what the correct one is. :)

Have a good day!

Answer:

The slope of this line is y=3x-3

Step-by-step explanation:

(I'm not sure but is the line on the point(1,0)? or is it past that point?)

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

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(9y - 6) + 51 = 90 (right angle)

9y - 6 + 51 = 90

9y - 6 = 90 - 51

9y - 6 = 39

9y = 39 + 6

9y = 45

y = 45/9

y = 5

_______

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

Answer:

i think its b but im not that sure

Step-by-step explanation:

43 is the number of students were present in that class on Monday

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

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Answer:

{g,h} = {-9/5,32/5}

Step-by-step explanation:

h = 2g + 10

3g + (2g+10) = 1

[1]    5g = -9

5g = - 9  

g = - 9/5

g = -9/

h = 2g+10

h = 2(-9/5)+10 = 32/5

{g,h} = {-9/5,32/5}

Answer:

  $45.02

Step-by-step explanation:

The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:

  $225.10 × 20% = $45.02

Harry will leave $45.02 as a tip.

Answer:

The answer I'd 28464835383637533

Step-by-step explanation:

relax ! don't panic. just breathe deeply and then focus again.

a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.

this factor is given here as 3/2.

this is called common ratio, because of that building rule the ratio of 2 consecutive terms is

an/an-1 = factor = 3/2

the first term is 3.

so,

a1 = 3

a2 = a1×3/2 = 3×3/2 = 9/2

a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4

we see

an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)

and therefore

a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125