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Amiraneli [1.4K]

2 years ago

13

A rectangle has height of 3,27 meters and a base measuring 1.29 meters as shown which of the following is closest to x the lengt

h of the diagonal of the rectangle

1 answer:

luda_lava [24]2 years ago

4 0

Answer:

from pythogarus theorem:

$x = \sqrt{ {3.27}^{2} + {1.29}^{2} } \\ x = \sqrt{12.357} \\ x = 3.52 \: meters$

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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la

Minchanka [31]

The exponential function which represented by the values in the table is $f(x)=4(\frac{1}{2})^{x}$ ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is $f(x)=a(b)^{x}$ , where

a is the initial value (when x = 0)
b is the growth/decay factor
If k > 1, then it is a growth factor
If 0 < k < 1, then it is a decay factor

The table:

→ x : f(x)

→ -2 : 16

→ -1 : 8

→ 0 : 4

→ 1 : 2

→ 2 : 1

∵ $f(x)=a(b)^{x}$

- To find the exponential function substitute the value of x and f(x)

by some values from the table to find a and b, at first use the

point (0 , 4) to find the value of a

∵ x = 0 and f(x) = 4

∴ $4=a(b)^{0}$

- Remember that any number to the power of zero equal 1

except the zero

∵ $b^{0}=1$

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ $f(x)=4(b)^{x}$

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ $2=4(b)^{1}$

∴ 2 = 4 b

- Divide both sides by 4

∴ $b=\frac{2}{4}=\frac{1}{2}$

- Substitute the value of b in the equation

∴ $f(x)=4(\frac{1}{2})^{x}$

The exponential function which represented by the values in the table is $f(x)=4(\frac{1}{2})^{x}$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

JL = 28,<br> KL= 5x + 6, and<br> JK = 3x + 6,

Alexeev081 [22]

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK. So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

7 0

3 years ago

5/3÷7=_____<br>Answer in a fraction form<br><br>PLZ HELP

vfiekz [6]

Answer:

5/21

Step-by-step explanation:

5/3/7=?

so 5/3 *1/7=5/21

so 5/21 is your answer

8 0

2 years ago

Matthew's dad is 5 times as old as him. If the differences of their ages is 28, how old is matthew?

enyata [817]

Answer:

7

Step-by-step explanation:

5x-x=28 The dad is 5 times as old and the difference in their ages is 28years.

4x=28 Simplify and divide.

x=7

6 0

2 years ago

Please explain your answer. Thank you!!

Ad libitum [116K]

Answer:

(A) 180

Step-by-step explanation:

We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).

So, how many ways to pick 2 guards from a selection of 4? The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side). So, it's a pure combination calculation:

$C(4,2) = \frac{4!}{2! * (4 - 2)!} = \frac{24}{2 * 2} = 6$

C(4,2) = 6.

How many ways to pick the 2 forwards from a group of 5? Using the same calculation, we get:

C(5,2) = 10.

And of course, the coach has 3 ways to pick a center player from 3.

Then we multiply the possible ways to pick guards, forwards and center...

6 * 10 * 3 = 180 ways.

7 0

3 years ago