What are all of the solutions to the trigonometric equation 2 times cosine squared theta minus 2 times sine squared theta equals radical 2 question mark

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

The equation of a line is y=mx+c, where m is the slope and c is the y-intercept (where the line crosses the y-axis).

Looking at the graph, we can see that the line crosses the y-axis at y=-3, so we know c= -3.

The slope of a line can be found by taking two points on the line, [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex], and subbing them into the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Let's take the two points (2,-2) and (4:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-1)-(-2)}{4-2}=\frac{1}{2}[/tex]

Therefore, since the equation of a line is y=mx+c, our answer is [tex]y=\frac{1}{2}x-3[/tex]

Answer:

y=1/2x-3

Step-by-step explanation: given: (0,-3) (2,-2)

y=mx+b

-3=(m*0)+b

-3=b

-2= (m*2)-3

1=2m

m=1/2

y=mx+b

y=1/2x-3

Answer:

-130

Step-by-step explanation:

g(18)= -8(18)+14

=-144+14

=-130

Answer:

x = 6

Step-by-step explanation:

180 = (8x - 18) + 110 + 40

180 = 8x + 132

48 = 8x

6 = x

If the measure of the angle is needed:

8(6) - 18 = 30

Answer:

The range is the allowed values of y.

Set notation: { y | -9 [tex]\leq[/tex] y [tex]\leq[/tex] 0, y ∈ R}

Interval notation: [-9,0]

Hope that helps

The dimensions of building lot are 396 feet width and 1980 feet length.

Let the width of building lot be x. So, the length of the same building lot will be 5x. According to the formula, the area will be length × width.

18 acre = x×5x

Keep the value of acre in the above mentioned relation

18 × 43,560 = 5x²

Performing multiplication on Left Hand Side of the equation

784,080 = 5x²

Performing division by 5

x² = 156,816

Now taking square root to find the value of x

x = ✓156,816

x = 396 ft

Thus, the width of building lot is 396 feet

The length of building lot = 5×396

Performing multiplication

The length of building lot = 1980 feet

Therefore, the length and width of building lot is 1980 feet and 396 feet respectively.

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The formula to calculate the lateral area of a cone is given by

where

LA=10.5pi in2

r=2.1 in

l=? slant height

substitute given values

Confounding variables are any other variable that also has an effect on your dependent variable.

What is a confounding variable?

A confounding variable, also called a confounder or confounding factor, is a third variable in a study examining a potential cause-and-effect relationship.

A confounding variable is related to both the supposed cause and the supposed effect of the study. It can be difficult to separate the true effect of the independent variable from the effect of the confounding variable.

In your research design, it's important to identify potential confounding variables and plan how you will reduce their impact.

For example, if you are researching whether drinking both sample lead to taste test, then drinking both sample  is your independent variable and taste test is your dependent variable. Confounding variables are any other variable that also has an effect on your dependent variable.

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Answer:

C

Step-by-step explanation:

f(x) =0

when the curve intersects the x axis

goodluck :)

The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

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Answer:

its 12

Step-by-step explanation:

The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13  .

In the question ,

the equation is given as

(x+yi)+(4+9i)=9-4i

to find the value of x and y , we solve LHS and RHS of the equation separately

So LHS =

(x+yi)+(4+9i)

x+yi+4+9i

Adding the real and imaginary terms , we get

(x+4)+(y+9)i which is equal to RHS that is 9-4i

So , on comparing , we get

x+4 = 9    and      y+9 = -4

x= 9-4      and      y = -4-9

x = 5       and       y = -13

Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .

The given question is incomplete , the complete question is

What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i  ?

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Out of the given integer(s), {−3} is the integer which will make the inequality 5x + 12 > 2x + 6 false.

As per the question statement, we are supposed to determine which integer will make the inequality 5x + 12 > 2x + 6 false

Let's solve the inequality for range of x first,

5x + 12 > 2x + 6

5x - 2x > 6 - 12

3x > -6

x > -2

So for all values of x > -2, the inequality 5x + 12 > 2x + 6 is true and for all values of x < -2, the inequality 5x + 12 > 2x + 6 false.

And out of the given options only x = -3 < -2

Hence, we accept {−3} as our required integer.

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Answer:

S:{−3}

Step-by-step explanation:

Got it right on a test.

Answer: x = -33

Explanation:

Given the following question:

x - 11 = -44

Step 1: collect the like terms

x = -44 + 11

x = -33

Therefore, x = -33

The answer choice which could not be modelled by an exponential function among the given answer choices is; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.

It follows from the task content that the expression which could not be modelled by an exponential expression be identified among the answer choices.

An exponential function is one in which case the change factor is expressed as an exponent of the independent variable.

However, the function described as; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile is termed a linear model in which case;

The rate of change is constant and is equal to; $4.75 per mile.

Hence the required answer choice which cannot be modelled by an exponential function is; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.

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Hello!

Let's take this problem step by-step:

What is the formula for the circumference of a circle:

 [tex]\text{Circumference} = 2\pi *\text{radius}[/tex]

Since the circumference is 25 cm

  [tex]25 = 2\pi *\text{radius}\\\\\text{radius} = \dfrac{25}{2\pi }[/tex]

Answer: [tex]\text{radius} = \dfrac{25}{2\pi }[/tex]

Hope that helps!

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The statement that best describes the total cost of the Screened Loam, Round stone, and Crushed stone is; D: The total cost is greater than $325

We are given the amount of each material required for the Landscaping Project as;

Screened Loam = 3.25 cubic yards

Round stone = 1.5 cubic yards

Crushed stone = 2.5 cubic yards

Likewise we are given the cost of each of these materials per cubic yard as;

Cost of Screened Loam = $26 per cubic yards

Cost of Round stone = $112.5 per cubic yards

Cost of Crushed stone = $37.5 cubic yards

Thus;

Total Cost = (26 * 3.25) + (112.5 * 1.5) + (37.5 * 2.5)

Total Cost = 84.5 + 168.75 + 93.75

Total Cost = $347

Looking at the given options, the most appropriate is option D

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Answer:

[tex](y+2)=\frac{2}{3} (x-5)[/tex]

Step-by-step explanation:

Point slope form is shown below:

[tex](y-y_1)=m(x-x_1)[/tex]

We are given the slope m = 2/3 and the point x1 = 5, y1 = -2

Simply plug in these numbers into the above equation.

[tex](y--2)=\frac{2}{3} (x-5)[/tex]

Simplify:

[tex](y+2)=\frac{2}{3} (x-5)[/tex]

The Simplification of square root of three times square root of twenty one is; C: three square root of seven

The Laws of Exponents are;

We have the expression;

√3 * √21

= √3 * √3 * √7

= (√3 * √3) * √7

= 3√7

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Answer:

2.75

divide 11/4

Correct answer is A, the rule for translating ABC to A'B'C' is left 2, up 9.

An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. are frequently called slides. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."

A translation in geometry is a type of transformation that shifts a geometric figure in a certain direction without altering its size or orientation. The figures are congruent before and after the transformation since it is a type of stiff transformation.

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Answer:

Yes, is a function

Step-by-step explanation:

it does not repeat x's

Answer:

x²[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

given

5[tex]\sqrt{20x^4}[/tex] - 3[tex]\sqrt{45x^4}[/tex]

simplify the 20 and 45 inside the radicals

[tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

= 5(2[tex]\sqrt{5}[/tex] x² ) - 3(3[tex]\sqrt{5}[/tex] x² )

= 10[tex]\sqrt{5}[/tex] x² - 9[tex]\sqrt{5}[/tex] x²

= x²[tex]\sqrt{5}[/tex]

The most appropriate choice for remainder theorem will be given by-

Quotient = [tex]-x^3-2[/tex]

Remainder = -3

What is remainder theorem?

When f(x) is divided by (x-a), the remainder will be f(a).

If the remainder is zero, (x-a) will become a factor of f(x)

Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.

There is also a well known formula

Divisor x Quotient + Remainder = Dividend

Here,

P(x) = [tex]-x^4 +3x^3 -2x+3[/tex]

P(3) =  [tex]-(3)^4+3(3)^3-2(3)+3[/tex]

      = [tex]\\-81+81-6+3[/tex]

      = -3

So by Remainder theorem, remainder is P(3)

So, Remainder = -3

Let the quotient be q(x)

divisor = [tex]x - 3[/tex]

We know,

Divisor x Quotient + Remainder = Dividend

[tex](x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2[/tex]

So, Quotient = [tex]-x^3-2[/tex]

Remainder = -3

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w = 10.

Step-by-step explanation:

9(w+1) = 99

9w+9 = 99

9w = 99-9

9w = 90

w = 90/9

w = 10.

[tex]{ \boxed{ \red{ \sf{w = 10}}}}[/tex]

Step-by-step explanation:

[tex]{ \purple{ \sf{9(w + 1) = 99}}}[/tex]

[tex]{ \purple{ \sf{9w + 9 = 99}}}[/tex]

[tex]{ \purple{ \sf{9w = 99 - 9}}}[/tex]

[tex]{ \purple{ \sf{9w = 90}}}[/tex]

Divide both the sides by 9 then

[tex]{ \purple{ \sf{ \frac{9w}{9} = \frac{90}{9} }}}[/tex]

[tex]{ \pink{ \boxed{ \blue{ \sf{w = 10}}}}}[/tex]

This is because

distance = rate*time

Rate is another term for speed.

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

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Total number of Chemistry textbooks sold is 81 and total number of Biology textbooks sold is 243

Let there are x biology textbooks sold.

No of chemistry textbooks sold = 3 the number of biology textbooks sold

ATQ,

A textbook store sold a combined total of 324 biology and chemistry textbooks in a week.

x + 3x = 324

4x = 324

x = 81

It means there are 81 biology textbooks sold and 3x = 3(81) = 243 chemistry textbooks sold.

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Answer:

75 boxes

Step-by-step explanation:

If you divide 24000 bats by 50 boxes, you get 480. Then, if you divide the 36000 by 480, you will get 75