can someone pleaseeee helpppp me find the hypotenuse of x?
225 cm
55°
390cm
165cm
168cm
pleaseeee i need the calculations toooooo

A: f(x)=8x-2

1. Switch the f(x) to y

y=8x-2

2. Switch y to x and x to y

x=8y-2

3. Solve for y:

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

1. Add 2 to both sides.

 x=8y-2

+2     +2

2. Divide both sides by 8.

x+2=8y

---     ---

8       8

1/8x+1/4=y

3. Write in f-inverse form

f^-1(x)=1/8x+1/4  

B: g(x)=2/3x+6

1. Switch the g(x) to y

y=2/3x+6

2. Switch y to x and x to y

x=2/3y+6

3. Solve for y:

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

1. Subtract 6 from both sides.

x=2/3y+6

-6        -6

2. Multiply both sides by 3/2 (to cancel out the 2/3)

x-6=2/3y

2/3x-4=y

3. Write in f-inverse form

g^1(x)=2/3x-4

C: h(x)-4x-12

1. Switch the h(x) to y

y=-4x-12

2. Switch y to x and x to y

x=-4y-12

3. Solve for y:

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

1. Add 12 to both sides.

x=-4y-12

+12    +12

2. Divide both sides by -4

x+12=-4y

------    ---

-4        -4

-1/4x-3=y

3. Write in h-inverse form

h^2(x)=-1/4/x-3

Answer:

a) There will be approximately a water depth of 7.5 meters after 3h

b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.

Step-by-step explanation:

a) Look for the y-value when the x-value is 3.

b) Look for the x-value when the y-value is 8.

*The y-axis is the depth (m), and the x-axis is the time (h).

Probabilities are used to determine the chances of events

The probability that the salesman left his sunglasses in the first store is 0.16

The given parameter is:

p = 1/5 ---- the probability that he left his sunglass

The probability that he did not leave his sunglass would be:

q= 1- 1/5

Evaluate the difference:

p = 4/5

So, the probability that the salesman left his sunglasses in the first store is:

Pr = 1/5 * 4/5

Evaluate the product

Pr = 4/25

Express as decimal

Pr = 0.16

Hence, the probability that the salesman left his sunglasses in the first store is 0.16

Read more about probabilities at:

https://brainly.com/question/25870256

Answer: 3:2 is the scale he should use

Step-by-step explanation: You simplify 24/16 by the GCF (greatest common factor) The GCF of 24 and 16 is 8 so [tex]\frac{24}{16}[/tex] ÷ [tex]\frac{8}{8}[/tex] = [tex]\frac{3}{2}[/tex]. 3/2 could also be written as a scale or ratio which is 3:2.

Answer:

beacuse it was so hot and people were stealing alot and thir king suks

Step-by-step explanation:

Answer:

In the summer of 1919, over 20 race riots broke out across the nation. The worst violence occurred in Chicago. African Americans went to White Beach only and that started violence. Each sides started throwing stones at each other, and a person drowned. A full-scale riot then erupted in the city. Angry African Americans attacked white neighborhoods while whites attacked African American neighborhoods. In the end, 38 people died—15 white and 23 black—and over 500 were injured. The most serious racial outbreak occurred in Chicago late in July of the Red Summer. A African American drifted into water that was customarily used by whites, White swimmers commanded him to return to his part of the beach, and some threw stones at him. The man drowned and that caused a riot between African American and White people. 38 people had been killed, including 15 whites and 23 blacks. Hope this helps!

The exponential function represented in the table is given by:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Considering the table, that has points (2,36) and (3,54), we have that:

[tex]36 = ab^2[/tex]

[tex]a = \frac{36}{b^2}[/tex]

[tex]54 = ab^3[/tex]

[tex]54 = \frac{36}{b^2} \times b^3[/tex]

[tex]36b = 54[/tex]

[tex]b = \frac{3}{2}[/tex]

Hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

When x = 2, y = 36, hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]

[tex]\frac{9}{4}a = 36[/tex]

[tex]a = 16[/tex]

Hence, the function is:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

96cm

Step-by-step explanation:

Let's find sides one by one

[tex]\\ \tt\hookrightarrow a^2=2^2+3^2=4+9=13\implies a=\sqrt{13}=3.2[/tex]

[tex]\\ \tt\hookrightarrow b=\sqrt{2^2+4^2}=\sqrt{20}=4.2[/tex]

[tex]\\ \tt\hookrightarrow x=\sqrt{1^2+4^2}=\sqrt{17}=4.1[/tex]

Now

[tex]\\ \tt\hookrightarrow s=\dfrac{4.2+4.1+3.2}{2}=5.7[/tex]

Apply herons formula

Area

[tex]\\ \tt\hookrightarrow \sqrt{5.7(5.7-3.2)(5.7-4.1)(5.7-4.2)}=\sqrt{5.7(2.5)(1.6)(1.5)}=5.84units^2[/tex]

Answer:

A circle has a worth of 0. If your talking about the corners.

Answer:

4,3

Step-by-step explanation:

1 plus 3 equals 4.

-3 plus 6 equals 3.

Answer:

[tex]x = 14 - 3[/tex]

Step-by-step explanation:

*The key word 'less than' means to subtract.

x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.

In other words, the backpack didn't increase in pounds.

3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.

x = 143 is incorrect. This equation is unrealistic.

x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)

Answer:

31.47

Step-by-step explanation:

WX - 11

3.1 x 13.7 - 11

42.47 -11

=31.47

Hi!

I can help you with joy!

All we have to do here is plug in the numbers.

wx-11

(3.1)(13.7)-11

Multiply:

42.47-11

Subtract:

31.47 (Answer)

I hope this helps!

Ask me if you have any questions.

~Misty~

-[tex]\bf{Silent~[/tex]-

Answer:

-33

Explanation:

29-(-36-(-27-31)+40)=

29-(-36-(-56)+40)=

29-(-36+58+40)=

29-62=-33

Answer:

Introduction. Cellular survival depends on an organism's ability to respond and adapt to extracellular signals in its environment. Signal transduction is, therefore, an important biologic process, allowing cells to react to a variety of these extracellular stimuli and respond adaptively.

Answer:

w43324424

Step-by-step explanation:

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches

Answer:

a: 1.6705882352941

b:463.52112676056

c: 22.82

Answer:

[tex]x=-\frac{15}{2}[/tex]

Step-by-step explanation:

Start by distributing the 6 to each of the terms in the parentheses:

6(x)+6(9)=9

6x+54=9

Subtract 54 from both sides

6x+54-54=9-54

6x=-45

Divide both sides by 6

x=-45/6

Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.

x=-15/2

[tex]\huge \boxed{\tt x= - 7.5}[/tex]

Step-by-step explanation:

[tex] \to \sf6(x+9)=9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]

[tex] \\ \\ [/tex]

Round of -15 / 2 to get product as - 7.5

[tex] \to \sf x= - 7.5[/tex]

Verification:

6(x+9)=9

6(- 7.5 +9) = 9

6 × 1.5 = 9

9 = 9

Hence verified ~☆

Answer:

45 and 46

Step-by-step explanation:

let x = the smaller number

thus, x + 1 is the next consecutive number

x + x + 1 = 91

2x + 1 = 91

2x = 90

x = 45

x + 1 = 46

Answer:

1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..

HOPE IT HELPS

Answer:

A) −32; velocity decreases at rate of 32 feet per second as the time increases

Step-by-step explanation:

Rewrite v(t) = 128 - 32t as v(t) = -32t + 128

We see that our slope is -32 ft/s given it's in slope-intercept form with an initial height of 128 feet.

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for a linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

Answer:

If P(x) has the roots -11 and 6, then its multipliers can be written as

Step-by-step explanation:

P(x)=(x+11)(x-6)

P(x)=x2-6x+11x-66

P(x) = x2+5x-66

Answer:

5 if the value of y become 5 it makes this true

Hi! Let's solve this inequality!

Move 12 to the right side, using the opposite operation.

y>17-12

y>5

Thus, any value of y greater than 5 will make this inequality true.

Let's try 6, since 6 is greater than 5.

12+6>17

18>17

Yeah, it worked :)

Thus, any value of y greater than 5 will make this inequality true.

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts.

[tex]\bf{M^a^g^i^c^a^l[/tex]

Answer:

Percent increase : 20%

Step-by-step explanation:

First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

64,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Brainliest?!

On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

The table of the given x value is,

x          3,     4,     5,     6,     7

f(x)      12,   24,   28,   96,   192

The average rate of change of value is the ratio of overall change of function output value to the input value.

For the input values of 4 and 7 let's find the average rate of change,

[tex]r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56[/tex]

Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Learn more about the data table here;

https://brainly.com/question/15602982

Answer:

4

x-value is the average rate of change 56

Answer:

With exponents:

Without exponents

Step-by-step explanation:

Factorization of 36:

Factorization of 45:

-Chetan K

Answer:

The Prime factorization of 36 and 45 is 3²

36 = 2 × 2 × 3 × 3

= 2² × 3²

45 = 3 × 3 × 5

= 3² × 5

Prime Factorization = 3²

____________________

Answer: 1.5hr

Step-by-step explanation:

Answer:

8.5 in

Step-by-step explanation:

step 1

to find the width, the equation would be:

P/2-L

step 2-plug in

43/2-13=

8.5

Answer:

Step-by-step explanation: 10 + 10 = 20

46 - 20 = 26

26 divided by 2 = 13