solve for the quotient 2,138 divided by 3

I will find x, so 4x-4=180, so 4x=184, so x=46

Sorry if i answered wrong I don't understand what it is asking for.

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

$2.56

Step-by-step explanation:

80x3 = 240

80x.2=16

240+12=256

$2.56

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

To know more about Range .

https://brainly.com/question/30389189

#SPJ11

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is defined as the point where the line intersects the y-axis. All we need to do is find where the line intersects the y-axis.

(0, 4) is the answer.

Answer:

4 hours

Step-by-step explanation:

7h - 5(3h - 8) = -72  Distribute the -5

7h - 5(3h )(-5)(-8) = -72  A negative times a negative is a positive

7h - 15h + 40 = -72  Combine like terms

-8h + 40 = -72  Subtract 40 from both sides

-8h +40 - 40 = -72 - 40

-8h = -32  Divide both sides by -8

\(\frac{-8h}{-8}\) = \(\frac{-32}{-8}\)

h = 4

Answer:

then love me more also, i bet the answer is pi

Step-by-step explanation:

Answer:

-4.6

Step-by-step explanation:

Answer:No

Step-by-step explanation:

Pi is irrational

Answer:

a) Multiply 2 with the terms in the brackets;

2x + 6 = x - 4

Like previously, move all x terms to one side of the equation;

2x - x = -4 -6

x = -10

b) Multiply 2 with the terms in the brackets;

20x - 8 = 18x + 6

Move all x terms to one side of the equation;

20x - 18x = 6 +8

2x = 14

x = 14/2

x = 7

Hope this helps :)

Answer

25/1 and 43/125

Step-by-step explanation:

Answer:

Step-by-step explanation:

communicative because you moved the three to the other side

The units digit of the double factorial notation is the units digit of the product of all the even integers from 2 to 8, which is 8! The units digit of 8! is 8, so the answer is 8.

Factorials are mathematical operations symbolized by an exclamation point following a number. To find the factorial of a number, such as 5, write it down as 5! then multiply it by all the positive integers less than 5, including 1. Therefore, 5! is equivalent to 5 x 4 x 3 x 2 x 1, or 120. Factorials are frequently employed in mathematical equations and computations, especially in probability and statistics, where they are used to calculate the number of combinations or permutations that may be made from a given collection of numbers or variables. For example, if you had 5 distinct objects and want to determine how many various combinations , you used the factorial of 5.

To learn more about factorials, visit:

https://brainly.com/question/1216161

#SPJ4

The calculation involves substituting the value 9 into each function, which yields f(9) = 729. Then, substituting f(9) into h(x), we find h(f(9)) = 27. Finally, substituting h(f(9)) into g(x), we obtain g(h(f(9))) = 3\(\sqrt{3}\).

To find the value of g(h(f(9))), we need to substitute the value of 9 into each function and evaluate the composition step by step.

First, let's find f(9). According to the given function f(x) = \(x^3\), we substitute x = 9:

f(9) = \(9^3\) = 729

Next, we substitute f(9) into h(x) = √(x):

h(f(9)) = h(729)

Now, we evaluate h(729) by substituting x = 729 into the function:

h(f(9)) = \(\sqrt{729}\) = 27

Finally, we substitute h(f(9)) = 27 into g(x) = \(\sqrt{x}\):

g(h(f(9))) = \(g(27)\)

Evaluating g(27) by substituting x = 27 into the function:

g(h(f(9))) =(\(\sqrt{27\)) = 3\(\sqrt{3}\)

Therefore, g(h(f(9))) is equal to 3\(\sqrt{3}\), which means the square root of 27 can be simplified to 3 times the square root of 3.

For more such information on: function

https://brainly.com/question/11624077

#SPJ11

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer: 30 minute

Step-by-step explanation:60 diviser par 2

Answer:24 hours

Step-by-step explanation: because 1/2 times 20 will give you 24

Answer:

The answer is 9 because 4+5=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

BD = 4

Step-by-step explanation:

∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.

Therefore:

BD = CD

3x + 1 = 5x - 1 (substitution)

Collect like terms

3x - 5x = -1 - 1

-2x = -2

Divide both sides by -2

x = -2/-2

x = 1

✔️BD = 3x + 1

Plug in the value of x

BD = 3(1) + 1

BD = 3 + 1

BD = 4

Answer:

B 440 feet

Step-by-step explanation:

C = 2(3.14)r

= 2(3.14)70 feet

= 6.28(70 feet)

= 439.6

439.6 is approximate to 440 feet

Answer:

6227020800

Step-by-step explanation:

There are 13 ways to choose the first person in the first group, 12 ways to choose the second person in the first group and so on until we get 1 way to choose the second person in the last group so the answer is 13 * 12 * 11 * ... * 3 * 2 * 1 = 13! = 6227020800.

The required equation is y = 2.5x + 15 which shows the relationship between the number of hours Connor spends writing today,X, and the total number of pages.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Connor has already written 15 pages of his new young adult novel and he will write more today. He expects to write 2.5 pages per hour

Let x represents the number of hours Connor spends writing today and y represents the total number of pages,

According to the given situation, we can write the equation as:

⇒ y = 2.5x + 15

Therefore, the required equation is y = 2.5x + 15.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

Answer:

$12.500

Step-by-step explanation:

Answer:

x=9 since 2x9=18 and 18-8=10

Answer:

Step-by-step explanation:

=> -57 = 16 + 5m

=> 16 + 5m = -57

=> 16 + 5m - 16 = -57 - 16

=> 5m = - 73

\( = > \frac{5m}{5} = \frac{ - 73}{5} \)

=> m = -14.6

Hence, required value of m = -14.6 (Ans)

Answer:

_14.6

Step-by-step explanation:

-57 = 16 + 5m

-57 - 16 = 5m

-73 = 5m

÷5] - 14.6 = m

Nb.... M = - 14.6

The unit circle has the co-ordinates (-√2/2, -√2/2)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

           =-√2/2

and y=sin225

        =-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

Learn more about the trigonometric ratios here:

https://brainly.com/question/6904750

#SPJ1

Answer:

5. Answer C is right for sure.

6. JN=JE+EN

Step-by-step explanation:

The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.

An equation is an expression that shows the relationship between two or more numbers and variables.

The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1