___ cosb =1/2 sin(a+b)+sin(a-b)?

Final answer:

To find the unknown values in the given ratios, solve for x by setting up proportions and using cross-multiplication to calculate the missing value.

Explanation:

Find the unknown: 4:2:3 = x : 18: 27

Answer:

Changing value of "a" changes the amplitude of the sine graph.

Step-by-step explanation:

Question says to find about how does the a value affect your sine graph.

General equation of sine function can be given as:

[tex]y=a\cdot\sin\left(b\left(x-h\right)\right)+k[/tex]

There value of "a" gives amplitude.

So changing value of "a" changes the amplitude of the sine graph.

Once put into the quadratic formula the numbers in the square root of they are negative no solutions if it is 0 then 1 solution if more then more than one solution

Answer:

Step-by-step explanation:

[tex]\bf ~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} u=i+\sqrt{7}j\implies &<1,\sqrt{7}>\\\\ v=-i+9j\implies &<-1,9> \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf u\cdot v\implies (1)(-1)~+~(\sqrt{7})(9)\implies -1+9\sqrt{7}\implies 9\sqrt{7}-1~\hfill dot~product \\\\[-0.35em] ~\dotfill\\\\ ||u||\implies \sqrt{1^2+(\sqrt{7})^2}\implies \sqrt{1+7}\implies \sqrt{8}~\hfill magnitudes \\\\\\ ||v||\implies \sqrt{(-1)^2+9^2}\implies \sqrt{1+81}\implies \sqrt{82} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{8}\cdot \sqrt{82}} \right)\implies \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{656}} \right) \\\\\\ \theta \approx cos^{-1}(0.8906496638868531)\implies \theta \approx 27.05[/tex]

make sure your calculator is in Degree mode.

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

                (4 - 3, 3 - 1)

                (1, 2)

We can conclude that our pre-image is the point (1, 2).

Final answer:

The preimage of the point (4, 3) under the transformation T : (x, y) → (x + 3, y + 1) is (1, 2), found by reversing the transformation.

Explanation:

The transformation T : (x, y) → (x + 3, y + 1) maps each point in the plane to a new point that is 3 units to the right and 1 unit up from the original point. Finding the preimage of the point (4, 3) means determining which original point would be mapped to (4, 3) by this transformation. To do this, we set up the equations x + 3 = 4 and y + 1 = 3 and solve for x and y. Solving these equations gives us the preimage (1, 2).

Here's the step-by-step math:

Set up the equations based on the transformation T:
x + 3 = 4
y + 1 = 3

Solve for x:
x = 4 - 3 = 1

Solve for y:
y = 3 - 1 = 2

Therefore, the preimage of the point (4, 3) under the given transformation is (1, 2).

I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A

Answer:

Step-by-step explanation:

[tex]\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_{n-1}r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}[/tex]

2x - 5 = x - 7

First, let's subtract x from both sides:

2x - x - 5 = x - x - 7

x - 5 = -7

Now, let's add 5 to both sides:

x - 5 + 5 = -7 + 5

x = -2

Answer:

x = -2

Step-by-step explanation:

2x - 5 = x - 7

2x - x - 5 = -7

2x - x = -7 + 5

Now we have isolated x

2x - x = 5 - 7

2x - x = -2

x = -2

Multiply the negative sign into the second bracket and get rid of both brackets

-3y-x-5y+8x

Collect like terms

-8y+7x

Answer:

B:  -8y + 7x

Step-by-step explanation:

Start with (-3y-x)-(5y-8x).  This is a subtraction problem.  Subtract 5y from -3y, obtaining -8y.  Next, subtract -8x from -x; this is equivalent to  -x - (-8x), or 7x.

Then the difference -x + 8x = 7x.

Combining the x and y results, we get   B:  -8y + 7x.

Each time, you are subtracting 6 to get to the next term. The 8th term would be 12.

Answer:

Option A) 2 square root 3

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal angles (60 degrees each)

The triangle BOD is a right triangle

we have

<OBD=(60°/2)=30°

BD=12/2=6 units

tan(<OBD)=DO/BD

tan(30°)=DO/6

DO=6*tan(30°)

DO=2√3 units

Answer:

The correct answer is A. 2√3

Step-by-step explanation:

8•9+12\4-(5+3)

We are gonna use the method PEMDAS (Parenthesis, Exponents, Multiplication/Division, Addition/ Subtraction) to help us solve this equation.

8•9+12/4-8

72+12/4-8

72+3-8

75-8

67

To solve the equation 8 × 9 + 12 ÷ 4 - (5 + 3), apply the order of operations (BIDMAS/PEMDAS): Brackets, Indices, Division/Multiplication (left to right), Addition/Subtraction (left to right). The final answer is 67.

The subject of this question is Mathematics and it pertains to the correct order of operations. To solve the provided equation, 8 × 9 + 12 ÷ 4 - (5 + 3), we must follow the order of operations which is popularly known as BIDMAS or PEMDAS. This acronym stands for:

Here, we proceed by doing the operations within the brackets. (5+3) equals 8. Now, substitute 8 in the expression and we get 8 × 9 + 12 ÷ 4 - 8. Now according to BIDMAS/PEMDAS, the next step is to do multiplication and division from left to right. The expression now becomes 72 + 3 - 8. Finally, we do addition and subtraction from left to right, so the final result is 67.

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Answer:

d = sqrt(101)

Step-by-step explanation:

To find the distance between two points, we use the formula

d =sqrt ((x2-x1)^2 + (y2-y1)^2)  where (x1,y1) and (x2,x2) are the points

d = sqrt ((-13--3)^2 + (-23--22)^2)

d = sqrt ((-13+3)^2 + (-23+22)^2)

d = sqrt((-10)^2 + (-1)^2)

d = sqrt(100)+1)

d = sqrt(101)

Wouldn’t it be 36.7 because that’s the arch am I right?

Answer:

The measure of arc CD is 114.6°.

Step-by-step explanation:

Let the center of the circle be O and OP is perpendicular to CD at point point P.

The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.

[tex]CP=\frac{CD}{2}=\frac{36.7}{2}=18.35[/tex]

In a right angles triangle,

[tex]\sin\theta =\frac{opposite}{hypotenuse}[/tex]

In a right angles triangle OPC,

[tex]\sin\angle POC =\frac{18.35}{21.8}[/tex]

[tex]\angle POC =\sin^{-1} (\frac{18.35}{21.8})[/tex]

[tex]\angle POC \approx 57.3[/tex]

In triangle OPC and OPD,

[tex]OC=OD[/tex]                  (Radius)

[tex]OP=OP[/tex]                  (Reflexive property)

[tex]CP=DP[/tex]                   (Altitude on chord from center)

By SSS postulate

[tex]\triangle OPC\cong \triangle OPD[/tex]

[tex]\angle POC\cong \angle POD[/tex]                      (CPCTC)

[tex]\angle POC=\angle POD[/tex]

The measure of angle COD is

[tex]\angle COD=\angle POC+\angle POD[/tex]

[tex]\angle COD=2\angle POC[/tex]

[tex]\angle COD=2(57.3)[/tex]

[tex]\angle COD=114.6[/tex]

Therefore the measure of arc CD is 114.6°.

Answer:

102

Step-by-step explanation:

Answer:

102.

Step-by-step explanation:

First, divide 255 by 5 (255÷5=51).

Then multiply the result of 255÷5 by 2 (51×2)

And 51×2=102

12 Roses since your multiplying by 2

Answer:12

Step-by-step explanation: there are 8 roses and 6 daisies, if 8 turns into 16, that’s multiplied by 2, so you multiply 6 by 2 and get 12,

8 * 6

_ * _

16*X, cross multiply

Answer:

ONE

Step-by-step explanation:

ONE real number solution.  The graph intersects the x-axis in only one place.

3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0

Answer with explanation:

Consider a Logarithmic Function

  [tex]y=\log_{a} b\\\\y=\frac{\log b}{\log a}\\\\ \text{if, a=1,then}\\\\y=\frac{\log b}{\log 1}\\\\y=\frac{\log b}{0}[/tex]

which is not defined.

Also,⇒ a∈(0,∞)≠1.

b> 0, that is, b∈(0,∞)

Option C:

 is not a logarithmic function because the base is equal to 1.

Answer: real numbers?

Step-by-step explanation:

Answer:

The number line is graph of the or can be graph of any of the following set of numbers.

  1. Natural numbers

  2. Whole numbers

  3. Integers

  4.Rational Numbers

   5.Irrational numbers

   6. Real numbers

We can represent all this set of numbers on the graph of number line.

It is undefined, meaning it will not pass the vertical line test

Answer:

Mr. Johnson would have ordered 18816 jaw breakers.

Step-by-step explanation:

Multiply 392 by 48

Mr. Johnson ordered a total of 18816 jawbreakers by multiplying the number of boxes (48) by the number of pieces of candy per box (392).

The question involves calculating the total number of jawbreakers Mr. Johnson ordered. To do this, we need to multiply the number of boxes ordered by the number of pieces of candy per box.

Step-by-step calculation:

Identify the number of boxes ordered: 48 boxes.

Identify the number of candies per box: 392 pieces.

Multiply the number of boxes by the number of candies per box to find the total: 48 boxes × 392 pieces/box = 18816 jawbreakers.

Therefore, Mr. Johnson ordered a total of 18816 jawbreakers.

Answer:

6.7 years (approx)

Step-by-step explanation:

Answer:

The polynomial 4uv²w²  is a monomial, since its a single term.

Degree of polynomial: it is sum of exponent of its variables.

power of u = 1, power of v = 2, power of w = 2

Degree of polynomial: 5

Answer:

Markup= 1.81

Sale price =9.06

Step-by-step explanation:

The markup is the original prices times the markup rate

markup = 7.25 * 25%

            = 7.25 * .25

             =1.8125

We round this to the nearest cent

           =1.81

The new sale price will be the original price + the markup

7.25+1.81

9.06

Answer:

9.06, or real explanation.

Step-by-step explanation:

"Marco buys a certain brand of shampoo for a supplier $7.25 per bottle he sells it to his customers at a makeup 25% what would the makeup be"

I am going to assume makeup is supposed to be markup, but I will answer all there is.

To find how much higher he charges people for the shampoo, we can multiply the original cost by the percent of increase, so in our case 7.25*.25

7.25*.25=1.8125, or $1.81

1.8125 is the total extra he charges people for the soap.

NOW FOR THE TOTAL COST-------------------

For the total cost we take the original + the added cost

1.8125+7.25=9.0625, or 9.06

Answer=5288

Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288

Answer:

5288 wheels

Step-by-step explanation:

Wheel count:  18(274) + 89(4) (since regular trucks have 4 wheels)

This comes to 4932 + 356, or 5288 wheels in the lot.

Answer:

0.34

Step-by-step explanation:

Do the inverse operation so;

0.034 / 1/10 = 0.34

Now go back and subsitute,

0.34 * 1/10 = 0.034

In the equation □ x 1/10 = 0.034, the missing value is 0.34 as obtained by isolating □ on one side, i.e., □ = 0.34.

The equation presented in the question is □ x 1/10 = 0.034. The missing value is the number that should be multiplied by 1/10 to result in 0.034. To solve for this missing value, we can rearrange the equation using the basic algebraic method. We isolate the missing value (□) on one side by dividing both sides of the equation by 1/10. This results in □ = 0.034 / (1/10), which simplifies further to □ = 0.34. Therefore, the missing value in the equation □ x 1/10 = 0.034 is 0.34.

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Answer:

We have

sale price + 6% x sale price = $121.37;

Then

(106/100) x sale price = $121.37;

sale price = $121.37 x 100 / 106;

sale price = $12137 / 106;

sale price = $114.50;

Step-by-step explanation:

To find the sale price of a dress before a 6% tax added up to a total of $121.37, divide the total by 1.06. The original sale price was $114.50.

The student is asking how to calculate the sale price of a dress before tax when the total cost, including a 6% tax, was $121.37. To find the sale price before taxes, you need to divide the total cost by 1 plus the tax rate expressed as a decimal.

First, convert the percentage to a decimal, which gives us 0.06 for a 6% tax. Then, add 1 to the tax rate (1 + 0.06 = 1.06) and divide the total cost by this sum to get the original price:

Sale price = Total cost / (1 + Tax rate)
Sale price = $121.37 / 1.06
Sale price = $114.50 (rounded to the nearest penny)

Therefore, the original sale price of the dress was $114.50.

Answer:

D. Fourth-degree trinomial

Step-by-step explanation:

I think this would be the correct answer because the highest degree the polynomial is raised to would be 4 (hence the fourth degree). It would be a trinomial because of 9x^4, 3x, and 4

24 times 2 which will be 48

Answer: Option C.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:

[tex]m=1\\b=0[/tex]

This means that the line passes through the origin (0,0)

And from the function g(x) in the form [tex]g(x)=x-16[/tex], , you can identify that:

[tex]m=1\\b=-16[/tex]

This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-16)

Therefore, the graph of f(x) must be shifted 16 units down to produce the graph of g(x)

Answer:

D [tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right][/tex]

Step-by-step explanation:

Two matrices are equal when they

If in option D the second row is 2  -8.5  19.3 , then these matrix is equal to the given.

Answer:

Its D on edge

Step-by-step explanation: