find the solution to \((x + 4 {)}^{2} = 36\)there can be more than one awnser

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer: 6

Step-by-step explanation:

Answer:

42/7 or 6

Step-by-step explanation:

First, let's start off with the top part. 6^2 is 6 times 6, which is 36. 36 + 6 = 42. Now for the bottom part, 4^2 is 4 times 4, which is 16. 3^2 is 9. 16-9=7. 42/7 is the fraction form and if you want it simplified, then it is 6.

Hope that helps!

Answer:

for every rise of 1 the run would be 25

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Total Number of Guests which forms the Sample Space, n(S)=80

Let the event (a friend of the bride) =A

Let the event (a friend of the groom) =B

n(A) =59

n(B)=50

Friends of both bride and groom,

So,

n(A∪B)=n(A)+n(B)-n(A∩B)

n(A∪B)=59+50-30

n(A∪B)=79

The number of Guests who was a friend of the bride OR of the groom = 79

Thus,

P(A∪B)=n(A∩B)/n(S)

= 79/80

= 0.9875

Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

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Answer:

2.35

Step-by-step explanation:

Answer:

the answer would be 12 I say this because 72 divied by 6 would equal 12

Answer:

12 dollars

Set up a proportion.

6/72=1/x

Solve by cross-multiplying (my preferred method) and then you will end up with the final answer of x=12.

12 is the answer :)

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Answer:

93 minutes

Step-by-step explanation:

Since 75 percent is just .75, multiply 124 by .75 to find out how much was watched. 124 * .75 = 93

Hopefully this helps- let me know if you have any questions

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

x>1

x>2

range of f

Step-by-step explanation:

Answer:

see pic attached

Step-by-step explanation:

edge 2020

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

the mean is 5.8 and the median is 6

Step-by-step explanation:

if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8

for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median

Answer:

Option B

Step-by-step explanation:

Again, another great question! Here we are given the following system of equations, bound by quadrant 1 -

\(\begin{bmatrix}2x+7y\le \:70\\ 8x+4y\le \:136\end{bmatrix}\)

Convert this to slope - intercept form -

\(\begin{bmatrix}y\le \frac{70-2x}{7}\\ y\le \:2\left(-x+17\right)\end{bmatrix}\)

Now the graphed solution of this intersects at a shaded region with which there are 3 important point that lie on the border. They are the following -

( 0, 10 ),

( 15, 9 ),

( 17, 0 )

When these point are plugged into the main function f ( x, y ) = 2x + 6y, the point ( 15, 9 ) results in the greatest solution of 84. Thus, it is our maximum point -

Option B

At tα/2= -1.66, we reject H0.

What is the Null hypothesis?

The null hypothesis is a standard statistical theory that contends there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Data provided

sample size is 100, and

sample mean, 52.0 for x

The standard deviation of the sample, s= 22.0

Average population, = 60.0

Level of significance, = 0.05

Theorem testing

The alternate and the null hypothesis is

H0: u = 60

Ha: u < 60

Crucial component:

value crucial at 0.05

tα/2= -1.66

Region of rejection:

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Answer: 50°

Step-by-step explanation:

Hi ! As you can see, the whole angle on which there are the three angles is plane, so it is 180°.

And with this information, you can guess that : C = 180 - ( 65 + 65)

                                                                              C = 180 - 130

                                                                              C = 50°

You verify : 65 + 65 + 50 = 180, which means it should be correct, and there you go, hope it helped !

a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

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Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer: I got the same question, did u get the answer?

Step-by-step explanation:

Answer:

1.478

Step-by-step explanation:

Answer row 2

Step-by-step explanation:

Num

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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Answer:

3, 4, and 5 make a right triangle (Pythagorean triple). 3 and 4 are the legs, 5 is the hypotenuse. Another example is 9, 12, 15, with 9 & 12 as the legs and 15 as the hypotenuse on a right triangle.

Step-by-step explanation:

Pythagorean triples (measurements are whole numbers) are always in a 3:4:5 ratio; the longest side is always hypotenuse; the right angle is always opposite of the hypotenuse; the legs will be perpendicular (making right angle)

Answer:

Answer: 71 cups

Step-by-step explanation:

71 x 1.5 = 106.5 - 5.25 = 101.25

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Answer:

100=1.50x-5.25

105.25=1.50x

x=70.167

so to get at least $100 a day she'd have to sell 71 cups

3rd one is the answer

Answer:

72.5 is greater than  1 * 50 (50) but less than 2 * 50 (100)

Step-by-step explanation:

First, let's figure out what 145% of 50 is. A percentage is a ratio or fraction of 100. So, 1 is 100% .5 is 50% .25 is 25%. Now that being said, let's find out how to find the percentage of a number.

To do that, you need to multiply the percentage & 50. So...

\(1.45 * 50=72.5\)

Now, lets compare with the other options.

72.5 is greater than 2*50 (100) but less than 3 * 50 (150) ❌

72.5 is greater than 3 * 50 (150) ❌

72.5 is greater than 0 but less than 1 * 50 (50)❌

72.5 is greater than  1 * 50 (50) but less than 2 * 50 (100) ✅

The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

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