Please help! Answers are on the image attached!

Please Help! Answers Are On The Image Attached!

Answers

Answer 1

Answer:

The exact values of sin2Ф and cos2Ф are as follows:

sin2Ф = 0.8983

cos2Ф = 0.4394

Step-by-step explanation:

sin Ф = 9/17 = perp/hyp = y/r

we know that:

r² = x²+y²

17² = x² + 9²

x² = 208

x = 4√13

cos Ф = base/hyp = x/r = (4√13)/17

Solving sin2Ф

we know that:

sin2Ф = 2 sinФ cosФ

= 2*(9/17)*((4√13)/17)

= (72√13)/289

= 0.8983

Solving cos2Ф:

we know that:

cos2Ф = 1 - 2sin²Ф

= 1 - 2(9/17)²

= 1 - 0.5606

= 0.4394


Related Questions

Hector keep close tabs on his bank account. His account had a balance of -$22.80. The next day, he made a deposit of $56.60. His account balance changed to $.

Answers

If you add 22.80 by the deposit which is 56.60 you will get 79.04
The answer is : 79.04

suppose y varies directly with x. if y=7 when x=2, find y when x=3

A. 8
B. 7/6
C. 21/2
D. 6/7

Answers

7/2=y/3

21=2y

Y=21/2

Hope this helps!

A length on a map is 7.5 inches. The
scale is 1 inch:5 miles. What is the
actual distance?
A 1.5 miles C 12.5 miles
B 2.5 miles D 37.5 miles

Answers

Answer:

Option D 37.5 miles

Step-by-step explanation:

we know that

The scale on a map is [tex]\frac{1}{5}\frac{in}{mi}[/tex]

so

using proportion

Find the actual distance for a length on a map of 7.5 in

Let

x ----> the actual distance

[tex]\frac{1}{5}\frac{in}{mi}=\frac{7.5}{x}\frac{in}{mi}\\ \\ x=7.5*5\\ \\x=37.5\ mi[/tex]

Which of the following best describe the term definition

Answers

I would say it’s c.
D is wrong cause definitions are proven right all the time.
B is wrong because a definition is not an arrangement of deductions
A is wrong because it says that the statement is not defined when it is.

The most appropriate description ascribed to the meaning of definition from the options given is ; A precise statement of the qualities of an idea, object or process.

Definition refers to a description which is given to a word, idea or phenomenon such that it encompasses the actual characteristics and meaning of such phenomenon.

Logical meaning, assumptions or unofficial descriptions cannot be taken to be the definition of a phenomenon.

Therefore, since the definition ascribed to a process or phenomenon as to be original and precise, then the most appropriate statement is the option C.

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The two-way table below describes the attendance at a movie theater at various times of the day.

Which statement best describes the relationship between the two variables?
There is an association because the relative frequencies by column are different.
There is an association because the relative frequencies by column are similar.
There is no association because the relative frequencies by column are different.
There is no association because the relative frequencies by column are similar.

Answers

Answer:

There is an association because the relative frequencies by column are different.

Step-by-step explanation:

For checking the association of a two-way table we have to calculate the relative frequency of the table. Here we see that there is an association between timing and day pf watching the movie. Also here relative frequencies of both columns are similar.

Can someone pls answer this? ​

Answers

Answer:

255 square centimeters

Step-by-step explanation:

First, break this into two shapes: a triangle and a rectangle.

The rectangle is 22 cm by 10 cm.  [tex]22 * 10 = 220[/tex] square centimeters

The triangle's base is 10 cm ([tex]22-12=10[/tex]) and its height is 7 cm ([tex]17-10=7[/tex]).  [tex]\frac{1}{2} * 10 * 7 = 5 * 7 = 35[/tex] square centimeters

Add the areas together. [tex]220 + 35 = 255[/tex] square centimeters

If p(x) = x2 + 7x + 3 is divided by x + 4, the remainder is

Answers

-9

Use long division to solve. See attached

Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

Answers

[tex]\bf \begin{array}{ccll} grams&people\\ \cline{1-2} 480&4\\ x&14 \end{array}\implies \cfrac{480}{x}=\cfrac{4}{14}\implies \cfrac{480}{x}=\cfrac{2}{7}\implies 3360=2x \\\\\\ \cfrac{3360}{2}=x\implies 1680=x[/tex]

match the meaning of each of the following expressions​

Answers

1: n+5

2: n-5

3: x+8

4: x-8

5: 8-x

6: 5-n

7: x+(5+7)

8: x+(8+2)

9: x+(8-2)

10: x+x

demand for a brand of clock radio is given by p+3q=390 , and the supply for these radios is given by p=7q=90 , where is the price and is the quantity demanded at price . Solve the system containing these two equations to find the price at which the quantity demanded equals the quantity supplied and the equilibrium quantity.

Answers

Answer:

p=$300 and q=30 clock radio

Step-by-step explanation:

we have

p ----> is the price

q ----> is the quantity

[tex]p+3q=390[/tex] ----> equation A

[tex]p-7q=90[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The intersection point is (300,30)

see the attached figure  

therefore

The solution is

p=$300

q=30 clock radio

what is the slope of the graph shown below ?
A. 4/3
B. 1/4
C. -3
D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

[tex]\text{The slope}[/tex]

[tex]m=\dfrac{rise}{run}[/tex]

[tex]rise=-4\\\\run=-1[/tex]

[tex]m=\dfrac{-4}{-1}=4[/tex]

The required slope of the graph exists 4.

Slope of the graph

The graph exists in a straight line.

The line passes through the points (0, -3) and [tex]$\left(\frac{3}{4}, 0\right)$[/tex].

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]$m=\frac{d-b}{c-a} .$$[/tex]

Therefore, the slope of the given line is

[tex]$m=\frac{0-(-3)}{\frac{3}{4}-0}$$[/tex]

[tex]$&\Rightarrow m=\frac{3}{\frac{3}{4}} \\[/tex]

[tex]$&\Rightarrow m=3 \times \frac{4}{3}\end{aligned}$$[/tex]

[tex]$\Rightarrow m=4 \text {. }$$[/tex]

The required slope of the graph exists 4.

Therefore, the correct answer is option D. 4

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6. Chris can buy an online magazine
subscription for $5.99 per month or
$65 per year. How much will he save
by paying for the whole year at once
rather than one month at a time?

Answers

Answer:

$6.88

Step-by-step explanation:

We are trying to compare two options: Buying a magazine for 12 months or for just 1 year.

To solve this, we can multiply the monthly rate by 12 because there are 12 months in a year.

5.99 x 12 = 71.88

The other option is to just pay $65 dollars for a whole year (12 months).

Comparing the two options, we see paying for the whole year is cheaper than paying for each month individually. Because of this, we can subtract $65, the cheaper option, from $71.88 to get $6.88

Chris will save $6.88 by paying for the whole year instead of purchasing for each month.

Answer this by using system of equations. Say y=total money spent and x=number of years. y=5.99x and y=65
now set these equations equal to each other
5.99x=65
x=10.851419

The following table shows the length (in days) of each of the 9 Tucker family vacations.

Based on this data, what is a reasonable estimate of the probability that the next Tucker family vacation lasts less than 3 days?
CHOOSE 1 ANSWER:

A.) 0.24

B.) 0.44

C.) 0.56

D.) 0.89​

Answers

The correct answer would be C)

Answer:

the correct answer is C

Step-by-step explanation:

Number of favorite outcomes=5

Total Number of outcomes=9

5/9 = 0.56

The probability that the next Tucker family vacation lasts less than 333 days is about 0.560.560, point, 56.

Solve the equation for x
Cx-4=7

Answers

Answer:

( A )

Step-by-step explanation:

To solve this problem you must apply the procedure shown below:

1. You have the following equation given above:

2. The negative four will pass as a positive four to the right member.

3. Te sum of 7 and 4 will be divided by , as following:

Answer:

Step-by-step explanation:

The given equation is :

Cx-4=7.

To solve for x we isolate the x term .

Adding 4 both sides:

Cx=7+4

Cx=11

To x term C is multiplied ,performing  the opposite operation that is dividing both sides by C we have :

x=[tex]\frac{11}{C}[/tex]

(2x + 3).x (4x + 1)​

Answers

Answer:

8x^2 +14x +3

Step-by-step explanation:

(2x + 3)* (4x + 1)​

FOIL

first 2x *4x = 8x^2

outer  2x*1 = 2x

inner  3*4x =12x

last = 3*1 =3

Add them together

8x^2 +2x+12x +3 = 8x^2 +14x +3

Which of the following is needed to construct the figure below?
A. 8 Acute triangles
B. 5 isosceles triangles
C. 6 Equilateral triangles
D. 10 obtuse triangles​

Answers

Answer:

C. 6 equilateral triangles

6 Equilateral triangles needed to construct the hexagon option (C)  6 Equilateral triangles is correct.

What is hexagon?

A hexagon is a six-sided polygon with six inner angles totalling 720° and six outside angles totalling 360° in geometry. Regular, irregular, concave, convex, and complicated hexagons are two-dimensional shapes.

We have a given a hexagon in the figure.

As we know hexagon is a polygon made up from six sides also hexagon can be made using six equilateral triangles by joining them.

Thus, 6 Equilateral triangles needed to construct the hexagon option (C)  6 Equilateral triangles is correct.

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Simplify the expression below if x > 0 and y > 0

Answers

Answer:

√'xy/y

Step-by-step explanation:

1. [x*y^(1/2)] / [y * x^(1/2)]  

= [x^(1/2) * y^(1/2)] / y  

= (xy)^(1/2) / y  

 

You'll get your answer as :  √'xy/y

What is the solution to the system of equations?

Answers

Answer:

[tex]\large\boxed{\left(7,\ \dfrac{13}{3}\right)}[/tex]

Step-by-step explanation:

You must use the algebraic method: substitution or elimination.

I will solve a given system of equations the substitution method.

[tex]\left\{\begin{array}{ccc}y=\dfrac{1}{3}x+2&(1)\\\\y=\dfrac{4}{3}x-5&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\\dfrac{4}{3}x-5=\dfrac{1}{3}x+2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}x-(3)(5)=3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+(3)(2)\\\\4x-15=x+6\qquad\text{add 15 to both sides}\\\\4x=x+21\qquad\text{subtract x from both sides}\\\\3x=21\qquad\text{divide both sides by 3}\\\\x=7\\\\\text{put the value of x to the first equation}\\\\y=\dfrac{1}{3}\cdot7+2\\\\y=\dfrac{7}{3}+\dfrac{6}{3}\\\\y=\dfrac{13}{3}[/tex]

How do I find the inverse function of this equation

Answers

Answer:

y=ln(x/(1-x))

Step-by-step explanation:

y=e^x/(1+e^x)

Cross multiply

y(1+e^x)=e^x

Distribute

y+ye^x=e^x

Put anything with x on with side and everything without x on opposing side:

y=e^x-ye^x

Factor right hand side

y=(1-y)e^x

Divide both sides by (1-y)

y/(1-y)=e^x

Use natural log.

ln(y/(1-y))=x

The inverse is

y=ln(x/(1-x))

is x 2 = y a function?

Answers

Answer:

yes

Step-by-step explanation:

a

Hello!

The answer is:

Yes, the given equation is also a function. (it's a quadratic function)

Why?

We know a function exists when there is only one value of y (output) for each x (input).

We can easily know if an equation (relation) is also a function using the graphic method:

To know if a relation is a function, we need to graph it a draw a vertical line, if the line cut the graph in only one point, the relation is a function, otherwise, if the vertical line cuts the graph in two or more points, the relation is a not a function. Remember, the condition for a function is that there is only one output for each input.

Note: I have attached a picture for better understanding.

Have a nice day!

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + y = –3

Answers

Solving for  b  by simplifying both sides of the equation, then isolating the variable.

b  =  −y  +  6x

----

Choosing three values for  x  and substitute in to find the corresponding  y  values.

(0,−3)  ,  (1,0)  ,  (2,3)

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

Answer:

Step-by-step explanation:

y = 6x -b

and -3x +y =-3

on simplifying equation 2 ,we have y = 3x -3

System of equation has infinite number of solution if one equation can be obtained by multiplying by suitable non zero number

if we multiply equation by 2 we get y =6x -6

Since coefficient of x and y is same therefore comparing the value of x b with constant in another equation which is 6 .

therefore b =6

List the following numbers from least to greatest: -4, |-6|, 3, -2, |5
-4, -2, 3, |5|, |-6
|-6|, -4, -2, 3, |5
|-6|, 5, -4, 3, -2
-6|, |5|, 3, -2, -4

Answers

Answer:

-4,-4,-4,-4,-2,-2,-2,-2,3,3,3,3,3,|5|,|5|,|5|,5,|6||6||-6||-6|

Numbers' absolute values are outputted as non-negative numbers. The arrangement of given numbers from least to greatest is: Option A: -4, -2, 3, |5|, |-6|

What is modulus of a real number?

Modulus of a real number, also called absolute value, is non-negative result of the input value.

This is defined as:

[tex]|x| = x ; \text{ (x is non-negative)}\\\\|x| = -x ; \text{ (x is negative)}[/tex](so that the outer negative makes the negative number positive).

Example:

[tex]|5| = 5\\|-5| = -(-5) = 5[/tex]

What is magnitude and sign?

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

For given case, we get:

-4 = -4|-6| = 63 = 3-2 = -2|5| = 5

Arranging, we get:

-4 < -2 < 3 < 5 < 6

or

-4 < -2 < 3 < |5| < |-6|

Thus,

The arrangement of given numbers from least to greatest is: Option A: -4, -2, 3, |5|, |-6|

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Muli spent 3/10 of thus salary on flood and 2/3 on rent. He was left with sh. 2100.what was his salary? ​

Answers

Step-by-step explanation:

Let the total amount of salary be X, then

3/10X + 2/3X + amount left= his salary(X)

(9X + 20X)/ 30 + 2100 = X

29X/30 - X = -2100

(29X - 30X)/30 = -2100

by cross multiplying

-X = -2100×39

-X = -81900

divide both side by -1

X = 81900.

therefore his salary = 81900

Answer:

Muli's salary = 62,000

Step-by-step explanation:

Let Muli's salary  be x.

Money spent on food = 3/10 of x = 3x/10

Money spent on rent = 2/3 of x = 2x/3

Money left with him = 2100

(3x/10) + (2x/3) + 2100 = x

x - (3x/10) - (2x/3) = 2100             ( LCM = 30)

30x/30 - 9x/30 - 20x/30 = 2100

(30x - 9x - 20x ) / 30 = 2100

x/30 = 2100

x = 2100 * 30 = 62,000

If y+3y+5y=−18
y
+
3
y
+
5
y
=

18
, then what is the value of y
y
?

Answers

Answer:

y=-2

Step-by-step explanation:

y+3y+5y=−18

Combine like terms

9y = -18

Divide each side by 9

9y/9 = -18/9

y = -2

Final answer:

The equation y + 3y + 5y = -18 simplifies to 9y = -18; solving for y, we find y = -2.

Explanation:

The equation presented is y + 3y + 5y = −18. To find the value of y, we first need to simplify the left-hand side of the equation by adding the similar terms together. In this equation, all terms on the left-hand side are multiples of y. Thus, y + 3y + 5y simplifies to 9y.

Our equation then becomes 9y = -18. To solve for y, we divide both sides of the equation by 9, yielding y = -2.

So, the value of y in this equation is -2.

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4x + 8y = 16
4x-8y = 0

Answers

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

20pts
Solve for x
(4(x-5))/8=9y

Answers

Answer:

x=18y+5

Step-by-step explanation:

Answer:

x = 5 + 18y

Step-by-step explanation:

Equation: [tex]\frac{4(x - 5)}{8}[/tex] = 9y

Multiply and distribute: 4x - 20 = 72y

Add: 4x = 20 + 72y

Divide: x = 5 + 18y

What number is missing from the number pattern? 1,2,5,10,__,26,37​

Answers

Answer:

17 is the missing the number

Step-by-step explanation:

Pattern: +1, +3, +5, +7, etc.

given that (5,4) is on the graph of f(x), found the corresponding point for the function f (x)+4

Answers

Answer:

The corresponding point is (5,8)

Step-by-step explanation:

In this problem we know that

The rule of the transformation is equal to

(x,f(x)) ------> (x,f(x)+4)

so

for the point (5,4)

x=5, f(x)=4

substitute

(5,4) ------> (5,4+4)

(5,4) ------> (5,8)

therefore

The corresponding point is (5,8)

Solve for x.

x(x+1)≤0

Write the solution using interval notation. Use the union symbol ∪ to express the solution as a union of disjoint intervals. Finite endpoints of all intervals should be integers. If there are no solutions, use the symbol ∅ for the empty set. Use the set notation {a} to represent an isolated solution a.

Answers

Answer:

x(x + 1) ≤ 0

-1 ≤ x ≤ 0

{x | x ≥ -1 and x ≤ 0}

Follow steps:

Solving the Inequality x(x+1)≤0

To solve x(x+1)≤0, we need to find values of x where the product is negative or zero. X can be split into the regions x < 0 and x > 0. As x approaches zero from either direction, x(x+1) approaches zero as well. The function is zero at the roots of the equation x(x+1) = 0, which are x = 0 and x = -1. These two roots divide the real line into three intervals: (-∞, -1), (-1, 0), and (0, ∞). Analyzing each interval:

For x in (-∞, -1), x < -1 and x+1 < 0, so the product x(x+1) is positive.

For x in (-1, 0), x is negative and x+1 is positive, so the product x(x+1) is negative.

For x in (0, ∞), both x and x+1 are positive, and thus, the product x(x+1) is positive.

The inequality is only satisfied in the interval where the product is negative or zero. Therefore, the solution is [{-1}, 0], which can be written in interval notation as (-1, 0]. This is a single continuous interval that includes the root x = 0 and excludes the root x = -1.

Finally, using interval notation, we express the solution to the inequality x(x+1)≤0 as (-1, 0].

Write 0.0002507 in scientific notation.

Answers

Answer:

2.507* 10^-4

Step-by-step explanation:

0.0002507

We need to have one number to the left of the decimal

We move the decimal 4 places to the right

Since we moved the decimal to the right, the exponent on the power of 10 is negative

2.507* 10^-4

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