3/2x-2/3x=2 please help!!!

Answer:

[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]

Step-by-step explanation:

Given that:

[tex]Cosec (t) = -\frac{13}5[/tex]

for [tex]\pi < t < \frac{3 \pi}2[/tex]

That means, angle [tex]t[/tex] is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

[tex]cosec^2\theta -cot^2\theta =1[/tex]

here, [tex]\theta =t[/tex]

So, [tex]cosec^2t-cot^2t=1[/tex]

[tex]\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}[/tex]

But, angle [tex]t[/tex] is in 3rd quadrant, so value of

[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]

Answer:

12/5

Step-by-step explanation:

Answer:

all fractions containing integers are rational numbers is true I believe.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex] {x}^{2} - {8}^{2} [/tex]

[tex](x - 8)(x + 8)[/tex]

Answer:

The number is 50.

Step-by-step explanation:

We need to understand the problem and convert it into a mathematical equation, or a series of equations. That way, we can solve them with ease.

The first thing we can do is to assign variables to represent the values that we do not know.

Let us assign the first number to be = x and the second number to be = y.

Important!

At this point, we must put their place values into consideration.

Since we are dealing with a two-digit number, we only have tens and units.

We will account for the place values of the variables assigned (x and y) by multiplying them by 10 and 1

x is the tens place value. To occupy this place value, it will become 10x

y is the unit place value. To occupy this place value, it will become 1 X y = y

This means that the original number is of the format x y

To convert this to an equation, it will become 10 (x) + y

Once the number order is reversed we will have 10 (x) + y = 10(y) + x - 45

grouping like terms

10x-x - 10y +y = - 45

9x -9y = - 45

From the second statement, we also have that x + y = 5

hence we have two equations x + y = 5   ---------- equation 1

                                                  9x -9y = - 45 ------------ equation 2

solving simultaneously, we have that the two numbers are 0 and 5

The number therefore, is 50

x = 5 and y = 0

Answer:

(-1, 1)

Step-by-step explanation:

I used a graphing tool to graph the two lines. When graphed, the lines intercept at point (-1,1). Therefore, it is the solution to the system of equations.

Hope this helps.

Answer:

65,352,067,267

i dont know what else to say.

Hello

Answer:

1) 37

2) 23

3) x = 4

4) 58

Step-by-step explanation:

1) 15 + 22 = 37

2) 54 - 31 = 23

3) 6x + 1 + x + 7 = 36

7x + 8 = 36

7x = 28

x = 4

4) 3x + 10 + 47 = 9x - 39

57 = 6x -39

96 = 6x

16 = x

3(16) + 10 = 58

Answer:

see below

Step-by-step explanation:

             22                15

1.  L -----------------M------------N          LN = 22 + 15              LN = 37

             31                ??

2.  L -----------------M------------N          MN = 54 - 31            MN = 23

     |<-----------54 ---------------->|

             6X+1             X+7

3.  R -----------------S------------T          find X

      (6x + 1) + (x + 7) = 0

       7x = -8

        x = - 8/7

          47              3X+10

4.  D -----------E---------------------F          find EF

     |<--------- 9X - 39 ------------>|    

    47 + (3x + 10) = (9x - 39)

    3x - 9x = -39 - 10 -47

    -6x = -96

     x = -96 / -6

     x = 16

    EF = 3x + 10

    EF = 3(16) + 10

    EF = 58

Answer:

24 and 21

Step-by-step explanation:

the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )

In 6 years

8x + 6 : 7x + 6 = 10 : 9

Express the ratio in fractional form

[tex]\frac{8x+6}{7x+6}[/tex] = [tex]\frac{10}{9}[/tex] ( cross- multiply )

9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides

72x + 54 = 70x + 60 ( subtract 70x from both sides )

2x + 54 = 60 ( subtract 54 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

Tony = 8x = 8 × 3 = 24

Vihaan = 7x = 7 × 3 = 21

Answer:

Tanay's age = 24yrs

Vihaan's age = 21yrs

Step-by-step explanation:

let the ages of tanay and vihaan be8x,7x

After 6yrs tanay's age=8x+6

vihaan's age=7x+6

a/q=8x+6/7x+6=10/9

=9(8x+6)=10(7x+6)

=72x+54x=70x+60

72x-70x=60-54

2x=6

x=3

tanay's age=8×3=24yrs

vihaan's age=7×3=21yrs

hope this helps you friend

Answer:

The answer is B. 75 - f = 56

Step-by-step explanation:

Answer:

a. The given equation is d = -75·t + 275 is a function

b. f(t) = -75·t + 275

c.  275 km

d. The situation does not makes sense for t > 11/2 hours.

Step-by-step explanation:

a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;

The given equation is d = -75·t + 275 is a function

As when t = 1, d = 200 km

b. The equation written in functional notation, f(t) is f(t) = -75·t + 275

c. At the start of the journey, t = 0

Therefore;

f(0) = -75×0 + 275 = 275 km

d. The values of t that do no make sense in the function are given as follows

0 = -75×t + 275

t = 275/75 = 11/3 = 3.67 hours

For times above 3.67, the distance becomes negative

Therefore, the situation does not makes sense for t > 11/2 hours.

Answer:

c.

Step-by-step explanation:

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = [tex] \frac{216}{12} = 18 ft [/tex]

360 inches = [tex] \frac{360}{12} = 30 ft [/tex]

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: [tex] \frac{540}{2.5} = 216 people [/tex]

Answer:

t-10

Step-by-step explanation:

fewer than means it comes after

t-10

Answer:

it's t -10

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

10 + 10 = -2(4x - 10)

20 = -8x + 20

0 = -8x

0/-8 = x

0 = x

Answer: x=0

Step-by-step explanation:

Given

10+10=-2(4x-10)

Combine like term

20=-2(4x-10)

Distributive property (REMEMBER you need to change signs when it is negative outside)

20=-8x+20

Subtract 20 on both sides (subtractive property of equality)

-8x=0

Divide -8 on both sides (division property of equality)

x=0

Hope this helps!! :)

Please let me know if you have any question

Answer:

1/11 is a repeating decimal

9/100 is a terminated decimal

Step-by-step explanation:

Properties of the fractional part of 100 can be determined as percentages.  Using this, we can see that 9/100 will result in .09 or 9%.

Properties of the fractional part of 11 can be seen to be a non-divisible number resulting in a repeating decimal equivalent.  So, 1/11 will result in .090909 ad infinitum.

Note, that odd divisors that are not multiples of 5, typically will result in a repeating decimal.

Cheers.

Answer:

Step-by-step explanation:

Yo it's 9 bro hope this helps mane

Answer:

[tex]\Large \boxed{f(3)=11}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5[/tex]

For f(3), the input for the function f(x) is 3.

Let x (input) = 3.

[tex]f(3)=2(3)+5 \\\\ f(3)=6+5 \\\\ f(3)=11[/tex]

Answer:

11

Step-by-step explanation:

f(x)=2x+5

Let x = 3

f(3) = 2*3+5

     = 6+5

    = 11

Answer:

x=7

Step-by-step explanation:

4x-2(x+3)=8

4x-2x-6=8

2x-6+6=8+6

2x=14

x=7

Proof:

4x-2(x+3)=8

4(7)-2(7+3)=8

28-14-6=8

14-6=8

8=8

Hope this helps ;) ❤❤❤

The value of x in the equation 4x - 2(x+3) = 8 is 7.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We need to find the value of x in the equation 4x - 2(x+3) = 8

4x-2(x+3)=8

4x-2x-6=8

2x-6+6=8+6

2x=14

x=7

Proof: 4x-2(x+3)=8

4(7)-2(7+3)=8

28-14-6=8

14-6=8

8=8

Hence, the value of x in the equation 4x - 2(x+3) = 8 is 7.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

∠SQR = 53°

Step-by-step explanation:

happy to help

Answer:

Step-by-step explanation:

Let x=0.121212.....

100x=12.121212...

100x-x=12.12121212...-0.121212...

     99x=12

         x=12/99

so 0.121212... is equal to 12/99

Hope this helps!! :)

Step-by-step explanation:

mark as brainlist

leave a like

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{24x - 20}}}}}[/tex]

Step-by-step explanation:

Given,

Length ( L ) = 6x - 5

Perimeter of a square ( P ) = ?

Finding the perimeter of a square having length of 6x- 5

[tex] \boxed{ \bold{ \boxed{ \sf perimeter \: of \: a \: square \: = 4l}}}[/tex] ( where l is the side of the square )

plug the value of length

⇒[tex] \sf{4(6x - 5)}[/tex]

Distribute 4 through the parentheses

⇒[tex] \sf{4 \times 6x - 4 \times 5}[/tex]

⇒[tex] \sf{24x - 20}[/tex]

Hope I helped!

Best regards!!

Answer:

True

Step-by-step explanation:

On December 17, 1903, Wilbur and Orville Wright made four brief flights at Kitty Hawk with their first powered aircraft. The Wright brothers had invented the first successful airplane. The Wrights used this stopwatch to time the Kitty Hawk flights.

Answer:

yes

Step-by-step explanation:

Hi there! :)

Answer:

[tex]\large\boxed {\frac{1}{4}}[/tex] Common difference

[tex]\large\boxed{\frac{3}{2}, \frac{7}{4}, 2}[/tex] Next three terms

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

Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:

Convert 1/2 into a fraction over 4:

1/2 · 2/2 = 2/4

Find the common difference by subtracting the fractions:

2/4 - 1/4 = 1/4. This is the common difference.

Find the next 3 terms by adding 1/4:

5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2

6/4 + 1/4 = 7/4

7/4 + 1/4 = 8/4 (Reduce fraction)

Therefore, the next 3 terms are 3/2, 7/4 and 2.

Answer:

Step-by-step explanation:

[tex] \frac{3y - z}{y + 5z} [/tex]

To find the value of the expression when

y = 6 and when z = 2 , substitute the values into the above formula and solve.

That's

[tex] \frac{3(6) - 2}{6 + 5(2)} \\ = \frac{18 - 2}{6 + 10} \\ \frac{16}{16} [/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]\Huge \boxed{1}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3y-z}{y+5z}[/tex]

Let y = 6 and z = 2.

[tex]\Rightarrow \displaystyle \frac{3(6)-2}{6+5(2)}[/tex]

Evaluate the expression.

[tex]\Rightarrow \displaystyle \frac{18-2}{6+10}[/tex]

[tex]\Rightarrow \displaystyle \frac{16}{16}[/tex]

[tex]\Rightarrow 1[/tex]

The value of the expression when y = 6 and z = 2 is 1.

Answer: Jayden walked 8 miles on Tuesday

Step-by-step explanation:

Answer:

Step-by-step explanation:

2a^2 - 6ab^2 + 4b^2 + a^2 - 2ab + 2b^2

3a^2 - 6ab^2 + 6b^2 - 2ab

Answer:

6.36363

Step-by-step explanation:

Answer:

6.36 repeating

Step-by-step explanation:

10 x 0.63 repeating

When you multiply ten by any number, you move the decimal to the right one place value.

0.6363...

6.3636...

So the answer is 6.36 repeating.

Answer:

∠Q = ∠U = 60°

Step-by-step explanation:

Construct the figure QSUT with your own dimensions as long as QR ≅ RU and SR ≅ RT , where R is the common midpoint.

I choose QR = 4 cm and SR = 5  cm

Then measure ∠Q and ∠U to check if they are equal.

I got that ∠Q = ∠U = 60° proving that;

∠Q ≅ ∠U

Answer:

x=4/5

Step-by-step explanation:

9 - |12-20x| = 5

=>-|12-20x|= 5-9

=>-|12-20x|=-4

=>12-20x=-4

=>-20x=-4-12

=>-20x=-16

=>x=16/20

=>x=4/5

Answer:

2/3

Step-by-step explanation:

the question says you are making a drink using espresso and steamed milk, it doesn't give you any other ingredients, and its a 3oz. drink so 1oz, of espresso and 2oz. of steamed milk