Find the area of right triangle ABC.

Answer:

log_(32)8= 3/5

Step-by-step explanation:

Log_(32)8 = m

write is as

32^m=8

(2^5)^m = 2^3

2^5m = 2^3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

5m = 3

divide 5 on both sides to remove it from m

m= 3/5

Hope this helps!

The value of m is [tex]\frac{3}{5}[/tex].

'Logarithm is the exponent or power to which a base must be raised to yield a given number.'

According to the given problem,

⇒ [tex]log_{32}8[/tex] = m

⇒ m = [tex]log_{32}8[/tex]

⇒ m = [tex]\frac{log 8 }{log32}[/tex]

⇒ m = [tex]\frac{log(2)^{3} }{log(2)^{5} }[/tex]

⇒ m = [tex]\frac{3log2}{5log2}[/tex]

⇒ m = [tex]\frac{3}{5}[/tex]  

Hence, we can conclude, the value of m is [tex]\frac{3}{5}[/tex].

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Answer:

$23.72

Step-by-step explanation:

If Johnny's restaurant bill was $18.75, and the tax was 6.5%. Johnny left a 20% tip on the pre-tax bill, Johnny pay $ 23.72 in total. Option C is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that, Johnny's restaurant bill was $18.75, and the tax was 6.5%. Johnny left a 20% tip on the pre-tax bill.

We have to find the amount Johnny pays in total. Suppose the amount is x,

x=$18.75 +  6.5% of 18.75 + 20% of 18.75

x=$18.75 + $1.21875+$3.75

x=$ 23.71 ≈23.72

Thus, if Johnny's restaurant bill was $18.75, and the tax was 6.5%. Johnny left a 20% tip on the pre-tax bill, Johnny pay $ 23.72 in total. Option C is correct.

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Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

Answer:

cheetah and 70 mph

Step-by-step explanation:

Ok

Had to solve in the comment section because I couldn't find the answer button before. It Just appeared Lol.

You can still check the solution in the first guy's comment section

d=vt will represent the Motion of Both persons

for Karen

d=59t

for Ricardo

d=65t

They're both 279miles away from each other

Meaning

Dk + Dr = 279

59t + 65t = 279

124t=279

t=279/124

t= 2.25hrs.

You can change to seconds if thats how the answer waa presented.

Answer:

0.00390625

Step-by-step explanation:

For coins :

Number of rolls, trials, n = 4

P(heads) = 0.5

Using binomial probability formula :

P(x =x) : nCr * p^x q ;

P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

P(even number from 4 coin tosses)

Even faces = (2,4,6)

Total faces = (1,2,3,4,5,6)

P(success) = 3/6 = 0.5

P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625

Answer: B

Step-by-step explanation:

Answer:

Median = 3500

Step-by-step explanation:

Data Set: 1850, 3500, 4200, 2310, 4260

=> Let's set this to the ascending order (least to greatest) first:

1850, 2310, 3500, 4200, 4260

=> Now as you cancel out the first value, cancel out the last one, and do this until u reach down to only one number:

So our median = 3500

Hope this helps!

Step-by-step explanation:

[tex] \sf \longmapsto \: {9x}^{2} ( {x}^{3} - 1) - 4( {x}^{3} - 1) \\ \sf \longmapsto \: 9 {x}^{2 + 3} - {9x}^{2} - 4 {x}^{3} + 4 \\ \sf \longmapsto \: {9x}^{5} - {9x}^{2} - {4x}^{3} + 4[/tex]

[tex]\sf Knowledge\:Booster\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}[/tex]

Answer: This is correct already.

Step-by-step explanation:

Answer:

You are incorrect. The mean is the average. The correct answer is "The mean is greater than the average"

Answer:

x= 1/3 :)

Step-by-step explanation:

Have a nice dayyyyyyyyyyyy! <3

Answer:

J: 2/45

Step-by-step explanation:

You multiply the probabilities together then simplify

2/15 x 5/15

to get 10/225

simplify to get your answer of 2/45

9514 1404 393

Answer:

  y = -x/16 +1

Step-by-step explanation:

The slope is at any point x is ...

  y' = -4/x^2

so, at x=8, the slope is ...

  m = -4/8^2 = -4/64 = -1/16

The point-slope form of the equation of the line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Then the line with slope -1/16 through point (8, 1/2) is ...

  y - 1/2 = -1/16(x -8)

  y = -1/16x +1/2 + 1/2 . . . . . eliminate parentheses, add 1/2

  y = -1/16x +1 . . . . . equation of the tangent line

Answer:

Side is equal to [tex](z+6)[/tex] feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to [tex]90[/tex]°

Area of a square = side × side

Area of a square [tex]=z^2+12z+36[/tex]

Here, write [tex]12z=6z+6z[/tex]

Therefore,

Area of a square [tex]=z^2+6z+6z+36[/tex]

[tex]=z(z+6)+6(z+6)[/tex]

[tex]=(z+6)^2[/tex] square feet

So,

side × side [tex]=(z+6)^2[/tex]

This implies side is equal to [tex](z+6)[/tex] feet.

I am not completley sure but i think its (3)

Complete question :

The probability of Jamie making money investing in bonds is 1/20. The probability of Jamie making money investing in stocks is 82%. Which of these events is more likely?

Answer:

Hence, It is more likely that Jamie will make money by investing in stocks.

Step-by-step explanation:

Probability of making money Investing in Bond = 1/20

Probability of making money Investing in stocks = 82%

Comparing the two probabilities, we can either convert both to decimal, fraction or percentage ;

Converting to percentage :

Probability of making money Investing in Bond = 1/20 = 0.05 = 0.05 * 100% = 5%

Probability of making money Investing in stock = 82%

82% > 5%

Hence, It is more likely that Jamie will make money by investing in stocks.

Answer:

Jamie makes money investing in stocks.

Probability of making money Investing in stocks = 82%

Answer:

Answer: 1645.

Step-by-step explanation:

Given data:

No. Of days of rental = 11 days.

Solution:

= 325 + 120d

Input the data for (d) into the equation

= 325 + 120(11)

= 325 + 1320

= 1645.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer: 30

Hopes this helps

Answer: 0.970 ??

Step-by-step explanation:

Answer:

-infinity, infinity

Step-by-step explanation:

Domain is x, and in a quadratic equation like this one the x axis goes on forever. So the first answer of -infinity, infinity is correct.

Answer:

(-inf, inf)

Step-by-step explanation:

Remember, the domain of the function looks at purely the input values (x-axis), not your output values (y-axis).

Keeping this in mind, you can see that the x values stretch from the far left, -inf to the far right +inf.

Remember, as infinities aren't considered actual values, you put them in parentheses. This means your answer is (-inf, inf).

Answer:

Step-by-step explanation:

6^5

------- = 1 as expected

6^5

Answer: about TWO

Step-by-step explanation:

Answer:

x = 1. y = -3

Step-by-step explanation:

Add the two equations together and notice that all terms containing y will disappear, leaving with

10x = 10 or x = 1

Using this value of x into either one of the equations, you'll get

4(1) + 3y = -5 ---> 3y = -9 or y = -3

Answer:

To determine the length of the other side of the triangle, we must use Pythagora's theorem.

a^2 = b^2 + c^2

( where a = |EG| )

=> a^2 = 5,8^2 + 4,9^2 = 33,64 + 24,01 = 57,65

<=> a = the square root of 57,65 = 7,6

To determine what angle G is, we must use the tangens of angle G;

tanG = |EF|/|FG|

=> tanG = 5,8/4,9 = 1,2

therefor angle G = 49°48'28"

because the sum of the angles of a triangle equals 180;

180°-90°-49°48'28"6= 40°11'31"4 = angle E

Answer:

(t-8)+10

Step-by-step explanation:

Answer:

The fourth one is -2, -4

Step-by-step explanation:

Hope this helps :)

Answer:

x=5

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

Answer:

45 plus 5 equal 50

Step-by-step explanation:

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

Answer:

The equation is how many weeks does he need to wait to get $18?