Which number line shows 1/3 and it's opposite?

It looks like the equation is

-sin²(x) = cos(2x)

Recall the half-angle identity for sine:

sin²(x) = (1 - cos(2x))/2

Then the equation can be written as

-(1 - cos(2x))/2 = cos(2x)

Solve for cos(2x):

-1/2 + 1/2 cos(2x) = cos(2x)

-1/2 = 1/2 cos(2x)

cos(2x) = -1

On the unit circle, cos(y) = -1 when y = arccos(-1) = π. Since cosine has a period of 2π, more generally we have cos(y) = -1 for y = π + 2nπ where n is any integer. Then

2x = π + 2nπ

x = π/2 + nπ

In the interval [-π, π], you get two solutions x = -π/2 and x = π/2.

Answer:

C

Step-by-step explanation:

A function x values must correspond to one y values.

One y values can correspond to two different x values.

C shows this isn't a function

Answer:

4th option is correct

Step-by-step explanation:

Answer:

6+2+(32×2)

6+2+(64)

8+64

72

difference between 72 and 28

72-28

=44

add 44 to make the value 28

Answer:

31.50 mm²

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =  1/2 x (sum of the lengths of the parallel sides) x height

1/2 x ( 7.3 + 5.3) x 5 = 31.50 mm²

Answer:

a pod t.v. Ka ssh Mic yummy

Answer:

B

Step-by-step explanation:

The volume of any prism whose height is perpendicular to the base is

V = B * h

The base can be anything, even a 17 sided figure. As long as the base has an area that can be found, and the height is perpendicular to it, the volume can be calculated.

Answer:

How is volume calculated for a triangular prism?

Multiply the area of the triangular base by the prism’s height.

Answer:

$1,500,000

Step-by-step explanation:

Given

Principal = $1,000,000

Rate = 5%

Time = 10years

Interest = PRT/100

Interest = 1000000*5*10/100

Interest = 100000*5

Interest = $500,000

Amount after 10years =  $1,000,000+ $500,000

Amount after 10years = $1,500,000

Answer:

no change in area

Step-by-step explanation:

The original area is

A = 12*5 = 60 ft^2

The new length and width

l = 12 + .25 (12) = 12+3 =15

w = 5 - .2 (5) =5-1 = 4

The new area is

A = l*w =15*4 = 60 ft^2

The area is the same

Answer:

Length = 6

Width = 5.5

Step-by-step explanation:

Let's use the variable x to represent the width:

x = width

The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:

2x - 5 = length

To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:

(x)(2x - 5) = 33

Now use basic algebra to solve for x:

2x^2 - 5x = 33

2x^2 - 5x - 33 = 0

2x^2 + 6x - 11x - 33 = 0

(2x^2 + 6x) + (-11x - 33) = 0

2x(x + 3) - 11(x + 3) = 0

(2x - 11) (x + 3) = 0

x = 11/2, -3

x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.

Now plug in 5.5 to the length expression and simplify:

2(5.5) - 5

11 - 5 = 6

The length is 6 and the width is 5.5.

Hope this helps (●'◡'●)

Answer:

Step-by-step explanation:

Answer:

15/2 that is the answer man

Answer: 5 s

Step-by-step explanation:

Given

Height of the rocket can be modelled as [tex]h=80-16t^2[/tex]

Rocket will land on earth when it's height becomes 0

[tex]\Rightarrow 80t-16t^2=0\\\Rightarrow t(80-16t)=0\\\\\Rightarrow t=0\ \text{or}\ t=\dfrac{80}{16}=5\ s[/tex]

Neglecting 0 value

Thus, rocket remains in air for 5 s.

Answer:

2. 42 hrs

Step-by-step explanation:

we know that there are 60 minutes in one hour.

60 mins = 1 hour

162 mins = 162/ 60

[tex] \frac{162}{60} = \frac{120 + 42}{60} \\ = \frac{120}{60} + \frac{42}{60} \\ = 2 hrs+ \frac{42}{60} hrs[/tex]

42/ 60 hourse would mean 42 mins ( multiply the fractions with 60)

= 42 mins

therefore,

2hrs 42 mins

= 2. 42 hrs.

Answer:

Ii's letter A

Step-by-step explanation:

If functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x) = 3x - 2 and g(x) = 2x + 1

We have to find the function (f+g)(x)

By property of the function (f+g)(x) = f(x) + g(x)

Now plug in the values of function f(x) and g(x)

(f+g)(x)= 3x-2+2x+1

Combine the like terms

(f+g)(x)= 5x-2+1

= 5x-1

Hence, if functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Explanation:

The probability of picking red is 0.13

The probability of picking orange is 0.20

The probability of picking either of these is 0.13+0.20 = 0.33

So the probability of picking neither of them is 1 - 0.33 = 0.67

There's a 67% of this happening.

Answer:

0.34

Step-by-step explanation:

because the probability of red is 20 and the probability of orange is 14 20 + 14 is 34.

Answer:

Step-by-step explanation:

Total amount with Gerald = $32

Cost of fuel per gallon = $2.75

Cost of each bottle of windshield = $3

38 miles per gallon. If Gerard must fill his car with enough fuel to drive 250 miles,

Total gallons of fuel = 250 miles / 38 miles

= 6.5789473684210 gallons

Total cost of fuel = Total gallons of fuel × cost per gallon

= 6.5789473684210 × $2.75

= $18.1

Amount left for windshield = Total amount with Gerald - Total cost of fuel

= $32 - $18.1

= $13.9

what is the maximum number of bottles of windshield washer fluid Gerard can buy?

= Amount left for windshield / Cost of each bottle of windshield

= $13.9 / $3

= 4.6333333333333 bottles

Maximum number of bottles =

4 bottles

Answer:

0

Step-by-step explanation:

Substitute b into -3.

Hence,

(b+3)(b²-5b+7)=(-3+3)(-3²-15+7)

=(0)(1)

=0

Answer:

hodrvyeieiwb was the only one to win a lot

Answer:

the roots are x= -4 and x=6

the equation of the axis of symmetry is x^2-2x-24

Step-by-step explanation:

to find the roots you go to the area where the graph is touching the x axis because y is 0 on the x axis

to find the equation use the values of the x intercepts which are -4 and 6

(x+4)(x-6)

solve this into an equation by multiplying everything in the first brackets by every thing in the second the answer you are likely to come up with is x^2-2x-24

I hope this helps

Answer:

(0,-4)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y= -3(0)^2+12(0)-4

=-4

Answer:

Step-by-step explanation:

Concept:

Quadratic equation formula: y=ax²+bx+c

Axis of symmetry formula=-b/2a

Y-intercept formula=c

Minimum or maximum is determined by the first term of the equation, which is [a]. If [a] is positive, then it is a minimum equation as the parabola heads up. If [a] is negative, then it is a maximum equation as the parabola heads down.

Given:

y = -3x² + 12x - 4

Solve:

The axis of symmetry formula = -b/2a

The Vertex

Y-intercept=c=(0, -4)

Min/Max

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Students Major

Cheat reporting response

Number of Alcohols taken

Student's Height

Step-by-step explanation:

The Variables are the following:

Categorical variables

1. Major – The student's majors -

Arts & Social Science or STEM

2. Cheat - Response about reporting cheating - Yes or No

Quantitative Variables

3. Alcohol - Number of alcoholic beverages consumed in a typical week

4. Height - Self-reported height (in inches)

Answer:

[tex] {5x}^{4} + 3 {x}^{2} - 8x + 6[/tex]

Step-by-step explanation:

Math

Step-by-step explanation:

200g=$2.50

1g=?

2.50*1=?*200

2.50/200=?

$0.0125

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

The end behavior is

as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

[tex]3x + 4 = 0[/tex]

[tex]x - 1 = 0[/tex]

[tex](x - 3) {}^{2} = 0[/tex]

We solve for x each time.

[tex]x = - \frac{4}{3} [/tex]

[tex] x = 1[/tex]

[tex]x = 3[/tex]

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

[tex] {0}^{y} = 0[/tex]

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

[tex]0 + 72 = 72[/tex]

Part C) End Behavior

The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.

Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.

Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.

Answer:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1  and the degree of variable  x  is  5 .

Therefore, it is not linear.

Answer: See image and explanation below

Step-by-step explanation:

The problem gives us 6 points to draw into the sketch.

The first and second point gives the domain and range of the sketch. The last 4 points tell us the coordinates.

Let's do the first two points. This tells us that the sketch should not go further (-3,0) and (3,0) of the x-axis, and should not go further (0,0) and (0,4) of the y-axis.

For the last 4 points, we can convert them to coordinates and graph them. The points would be (-2,3), (1,2), (-3,0), (3,0), and (0,4).

After we draw the 5 points listed above onto the graph, we can connect the points.

In the image I attached, the lines are straight, but when you draw it out, you should make your lines more curved.

Answer:

Answer is in attached image

I hope it help...

Answer:

233 or option D

Step-by-step explanation:

In all shapes, all the angles add up to 360

So . . .

95 + x + 32 + x = 360

127 + x + x = 360

360 - 127 = 233

Therefore, your answer is 233 or option D

Answer:

233, D

Step-by-step explanation:

First, we know that the angles of a quadrilateral add up to 360 degrees. Therefore,

m∠a+m∠b+m∠c+m∠d = 360

m∠a+95+m∠c + 32 = 360

m∠a+m∠c + 127  = 360

subtract 127 from both sides

m∠a + m∠c = 233

Answer:Answer: - The Earth will be closest to Saturn. - The Earth and Saturn will be 38,800,000 miles apart in standard notation

Step-by-step explanation:

becuase the earth and saturn are pretty farr