if Sin 3x= Cos (x-60), find the value of x​

Answer:

it should be -4=x.

Answer: -4

Step-by-step explanation:

Answer:

\(4a^0 = 4 \times 1 = 4\)

Answer: |-1|

Step-by-step explanation:

So lets just solve all of this stuff so you can just look at it and get the answer. | - 28 | = 28, |-1| = 1, |6| = 6, |15| = 15. So we have 28, 1, 6, and 15. Put this in order we have: 28, 15, 6, 1 which means 1 is the least or your could say |-1| is the least. Have a good day ;)

The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

here, we want to get the side that faces the right angle

The side is called the hypotenuse

To find this length, we are going to use the Pythagoras' theorem

The square of this side is equal to the sum of the squares of the two other sides

Thus, we have;

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Step-by-step explanation:

trfg gh fg gyfggr d vd f fvy e ht4gjgdgdhdggygggg

Answer:

y = 1.19x

Step-by-step explanation:

y is the dependent variable (total cost)

x is the independent variable (number of pounds)

9514 1404 393

Answer:

Step-by-step explanation:

The reflection over the x-axis is ...

  (x, y) ⇒ (x, -y)

The shift left 3 units is ...

  (x, y) ⇒ (x -3, y)

So, the two transformations together will be ...

  (x, y) ⇒ (x -3, -y)

  A(4, 2) ⇒ A"(1, -2)

  B(7,0) ⇒ B"(4, 0)

  C(9, 3) ⇒ C"(6, -3)

Answer: it has no solutions

Step-by-step explanation:

Factor then solve to find the complex solutions.

Answer:

c

Step-by-step explanation:

The question is incomplete. The complete question is :

Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.

Solution :

Given :

                             Drugs               Placebo

Headaches             11                         7

No headaches       73                       91

The results of the test are :

\($X^2=1.798$\)

The P value is given as = 0.1799

The hypothesis test given for dependent or association between the two variables.

\($H_0$\) : There is no association between the treatment and the reaction

\($H_1$\) : There is association between the treatment and the reaction.

If the P value is greater than the alpha value, i.e. when

P value > α (0.05), then we reject the \($H_0$\).

Therefore, Do not \($\text{reject the null hypothesis}$\). Report that \($\text{there insufficient}$\) evidence to conclude that \($\text{treatment}$\) as well as \($\text{reaction are dependent}$\).

Answer:

70%

Step-by-step explanation:

the formula for percent of change is:

New value - Old value divided by Old value

we can write this algebraically as:

(6-20)/20 which is -14/20

the negative simply implies a 'decrease' from old to new

14/20 equals 70/100 or 70%

Answer:

The answer to your question is 70% decrease

Step-by-step explanation:

I hope this helps and have a wonderful day!

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer:

5/52.

Step-by-step explanation:

Prob(Jack of hearts) = 1/52 - as there is only 1 jack hearts in pack.

Prob(Ace drawn) = 4/52 as there are 4 aces.

Answer:

1) C

2) B

3) D

4) B

5) C

6) B

7) F

8) B

9) B

10) B

11) D

Step-by-step explanation:

1) The restaurants were measured for each restaurant to give ratings as observations is being carried out on restaurants

2) The percentage of customers was measured to determine ratings. The food and decor can't be measured. Seating capacity is not a measurement variable.

3) The date of measurement is not mentioned

4) The measurement would have to be taken at restaurant obviously.

5) The measurments were taken to determine the ratings and decide the best restaurant

6) Since percentage of customers was measured, the customers had to be surveyed.

7) There are no categorical variables. All variables were measured on the scale of 30

8) Quantitative variable under investigation is number of customers who returned.

9) This is a survey not a design experiment. In design experiment, somethig is put on a test.

10) This is a cross-sectional data. nothing is being measurd over a period of time

11) There are no specific ocncerns since no data is mentioned in the question.

Answer: ^

Step-by-step explanation:

The value of the given function is f'(x) = -7x⁶ - 20x⁴.

What is differentiation?

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

Here, we have

f(x) = (-x² - 4)x⁵

After expanding, we get

f(x) = -x⁷ - 4x⁵

Now we differentiate w.r.t x and we get

f'(x) =  -7x⁶ - 20x⁴.

Hence, the value of the given function is f'(x) = -7x⁶ - 20x⁴.

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Answer:

(b )

Step-by-step explanation:

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Answer:33.34

Step-by-step explanation:

we'll use sinuses theorem for this which is,

\(\frac{x}{sina}=\frac{y}{sinb}\\\frac{27}{sin39} =\frac{x}{sin(90-39)} \\\frac{27}{sin39} =\frac{x}{sin51} \\x=\frac{sin51*27}{sin39}\\x=33.34\)

Answer:

(2.25, 0.75)

Step-by-step explanation:

x+y=3

subract x from both sides

y=x-3

subsitute y

8x+4(x-3)=15

distribute

8x+4x-12=15

combine like terms

12x-12=15

12x=27

divide

x=9/4 or 2.25

Substitute in one equation

2.25+y=3

y=0.75 or 3/4

Don't forget to check your work!

Answer:

x = 3/4 and 9/4

Step-by-step explanation:

Rewrite equations:

x+y=3;8x+4y=15

Step: Solvex+y=3for x:

x+y=3

x+y+−y=3+−y(Add -y to both sides)

x=−y+3

Step: Substitute−y+3forxin8x+4y=15:

8x+4y=15

8(−y+3)+4y=15

−4y+24=15(Simplify both sides of the equation)

−4y+24+−24=15+−24(Add -24 to both sides)

−4y=−9

\(\frac{-4y}{-4} =\frac{-9}{-4}\)

Step: Substitute \(\frac{9}{4}\) for y in x=−y+3:

x=−y+3

x = - \(\frac{9}{4}\) +3

\(x=\frac{3}{4}\) (Simplify both sides of the equation)

Answer:

\(x=\frac{3}{4}\) and \(y=\frac{9}{4}\)

The value of x=20, according to the given question.

What is meant by equation?

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation. Take the example of 3x + 5 = 15. Equations can be of several sorts, including linear, quadratic, cubic, and others.

According to the given data in the question,

We know that y varies directly with x like that,

y=kx..................(1)

y=12 when x=15.

Now, we have to find the value of x when y=16.

Then, putting the given values of x & y in the eq. (1), and determine the value of k.

12=k(15)

\(k=12/15\\k=4/5\\\)

Now, putting the value of k in the second statement in eq.(1), where only y's value is given.

\(16=\frac{4}{5}x\\ x=16*\frac{5}{4} \\x=20\)

Hence, the value of x=20.

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Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).  

\(\$500\times4\%=\$20\)

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

Answer:

Step-by-step explanation: