=
?
(5
4
⋅b
−10
)
−6

Answer:

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Step-by-step explanation:

It is given that –

Slope of the first line is–

[tex]\sf\longmapsto \: m_{1} = 2[/tex]

Let,

the slope of the Another line be –

[tex]\sf\longmapsto \: m _{2}[/tex]

Now,

The angle between the two lines is 60°.

Let's start solving!

[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]

[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]

[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]

[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]

[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]

The equation of line passing through point (2,3) and having a slope of –

[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]

is–

[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]

[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Hence the equation of the other line is -

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Answer:

t=5x=3049

Step-by-step explanation:

Answer:

The answer is cos=(-1/2, square root -3/2)

Step-by-step explanation:

Answer:

6=7y-8

6+8=7y-8+8(addition inverse operation)

14=7y

14/7=7y/7(division inverse operation)

2=y

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

6=7y-8

(to get all the numbers on the right side and the letters on left side we can swap 6 with 7y)

-7y= -6-8

(since both were positive before we used the inverse method to turn both into a negative number)

-7y= -14

÷7 ÷7

(to get y on its own we divide both sides by 7)

y=2

Hope this helped you- have a good day bro cya)

Answer:

[tex]7.15*10^{-4}[/tex]

Step-by-step explanation:

[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]

Yes it is.

Use the Pythagorean Theorem:

a²+b²= c²

So, 17²+144²=145²

289+20736=21025

289+20736=21025

21025=21025

Answer:

d - 20 = r

r = remaining amount

Answer:

l=d-20

Step-by-step explanation:

use l for leftover cookies.

l=d-20

Hope this helps!

Answer:

D

Step-by-step explanation:

cause 8÷4 =2 and ×2 =4

5x1=5-1=4

3×3=9-5=4

3×2=6-1=5

The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5

Answer:

30 many shoot basket did he make

Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.

Let me know if I'm wrong.

Answer:

Firest y5/ 4x = y5 - 4 /4X -4

x= y

Answer:

pretty sure it's 11

Step-by-step explanation:

Substitute x with -44

Answer:

11

Step-by-step explanation:

f(x) = f(-44) plug in -44 for x

10 -  -44/44

10 - (-1)

I do something called KFC, keep flip change

10 + 1 = 11  

Answer:

1/81 I think now 100% sure though

Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log(  2^(6+0.5b)   ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

6+0.5b = 2.5849625

0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

What is an exponential model?

Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Given that a fitness trainer is tracking the combined weight loss of several new customers.

She is recording for 6 months.

Now, we have to find the best mathematical model with the corresponding R² value

Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.

The formula for coefficient of determination R² = (x-x')(y-y')/√∑(x-x')²(y-y')²

≈ 0.996

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

To know more about exponential model:

brainly.com/question/28596571

#SPJ1

ANSWER

C PO SANA MAKATULONG PO YAN

Answer:

HGD: 117

FDG: 180

Step-by-step explanation:

Answer:

<HDG = 117 degrees

<FDG = 63 degrees

Step-by-step explanation:

Its a straight line

These are supplementary angles

If its a striaght line its 180 degrees.

We already know theres a 63 degrees so we jsut gotta subtract

180-63=117

So 117 degrees for HDG

Answer:

3x+2=16

Step-by-step explanation:

Answer:

the answer is most likely to be rather the first or second choice, but i choose B

Step-by-step explanation:

*Hope this helps*

based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have

3x - 2 = 16

3x +2 = 16

3x + 4 = 20

3x = 24

and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.

I might be wrong but i hope its right...

Answer:

there is no question if you provide one in comments I will edit my answer to answer the question

Step-by-step explanation:

Answer:

The answer is a

Step-by-step explanation:

have a nice day :)

Answer:

That's all

Step-by-step explanation:

you need to replace the values then solve

Answer:

27.      1^-8  =  1/1^8  =  1

28.       2^-5  =  1/2^5  =  1/32

29.       -3^-3  =  - 1/3^3  =  -  1/27

30.       2^-1   =    1/2  = 1/2

31.       -3^-4  =  -  1/3^4  =  -  1/81

32.       5^-3  =   1/5^3  =  1/125

33.       1^-99  =  1/1^99  =  1

34.       1^-3  =  1/1^3   =  1

35.       4^-3  =  1/4^3  = 1/64

36.       2^-3  =    1/2^3   =   1/8

Step-by-step explanation:

Rewrite the expression using the negative exponent rule b^−n=1/b^n

1/2^3

Raise 2 to the power of 3

1/8

The result can be shown in multiple forms, but this is fraction form.

1/8

I hope it helps!!

Answer:

a) 4x+4

b) 7x-14

c) 12x +18

d) 10x-10y

Answer:

4x+4

7x-14

12x+18

10x-10y

Step-by-step explanation:

Answer:

d≈12.73cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for d

d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm

Answer: Not all Functions have a inverse

Happy To Help :)

Step-by-step explanation: