Consider the following function:
y = one-fourth cosine (negative one-fourth x)

Which of the following statements are true? Check all that apply.
The graph is symmetric to the y-axis.
The function decreases on the interval (0, 4π).
The frequency is StartFraction 1 Over 4 pi EndFraction.
The graph is compressed horizontally by a factor of One-fourth
The graph has x-intercepts at x = 2π and x = 6π.


Please help and give an explanation if possible

ECH is an acute angle.

FCG is also an acute angle.

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]

We have the final answer as

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

Hope this helps you

Answer:

(8-28i)/53

hope it helps!

Step-by-step explanation:

Answer:

¾x + 7

Step-by-step explanation:

"The sum of": Addition expression

"¾ of a number": ¾x

"and 7": + 7

Combine them all and you get ¾x + 7

Answer:

x = -11

Step-by-step explanation:

-12 = x - 1

-12 + 1 = x

x = -11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]

[tex] \tt{Step \: 3}[/tex] : Calculate

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]

The value of x = 11

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

44 in

Step-by-step explanation:

Answer:

Yes, it is AC.

Explanation:

There’s no other way of naming it.

Answer:

It is C

Step-by-step explanation:

Got it right in edg

Answer:

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain.  Which equation can be solved to determine the age of the charcoal?

C on edg

Step-by-step explanation:

Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

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Answer:

[tex]4n = 24[/tex]

Step-by-step explanation:

Given

[tex]Cars = 4[/tex]

[tex]Empty = 3[/tex]

[tex]Occupied = 21[/tex]

Required

Determine an equation to find number of seats

Let the number of seats in each car be represented by n;

If [tex]1\ car = n[/tex]

Then:

[tex]4\ cars = 4 * n[/tex]

[tex]4\ cars = 4 n[/tex]

This implies that there are 4n total seats

Solving further:

[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]

Substitute values for the above parameters:

[tex]21 + 3 = 4n[/tex]

[tex]24 = 4n[/tex]

Reorder

[tex]4n = 24[/tex] ---- This equation can be used to solve for n

Answer:

20 weeks

Step-by-step explanation:

35+5=40

40/2=20

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

Answer:

7.5

Step-by-step explanation:

It is greater because it is closer to 8.

Answer:

Step-by-step explanation:

2x + 1 + x + 23 = 180

3x + 24 = 180

3x = 156

x = 52

2(52) + 1 = 104 + 1 = 105

52 + 23 = 75

Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

Answer:

0.00484

Step-by-step explanation:

The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.

The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

Experimental vs Theoretical Probability

How to find the Experimental Probability of an event?

Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.

Step 2: Divide the two numbers to obtain the Experimental Probability

How to find the Theoretical Probability of an event?

The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.

Answer:

1924

Step-by-step explanation:

1998

-   75

--------

1924 so he was born in 1924

Answer:

2√6cm

Step-by-step explanation:

Area = L×L

A=L2

24 =L2

√24 =√L2

2√6= L

:.L =2√6.cm.

Answer:

-1 1/5

Step-by-step explanation:

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

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Answer:

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Step-by-step explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the  time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

[tex]=\frac{336}{48}=7[/tex]

Number of laps by Tanuj

[tex]=\frac{336}{56}=6[/tex]

Answer:

2(2W+12) < 560

Step-by-step explanation:

Perimeter of a rectangular dog pen P = 2(L+W) where;

L is the length of the dog pen

W is the width of the dog pen

If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12

If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560

The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)

Substituting the given parameters;

2([W+12]+W)<560

2(2W+12)<560

Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560

The tree grows linearly, then the tree grows each year will be 20 inches.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The height of a tree is 38 inches.

After 4 years, the height is 9 feet 10 inches.

1 ft = 12 inches

9 ft = 180 inches

Then 9 ft and 10 inches will be

→ 108 + 10

→ 118 inches

The tree grows in 4 years and will be

→ 118 - 38

→ 80 inches

Let the tree grows linearly, then the tree grows each year will be

→ 80 / 4

→ 20 inches

More about the linear system link is given below.

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Answer:

t = 74 / 9

Step-by-step explanation:

-9(t - 2) = 4(1 - 15)

-9t + 18 = 4 - 60

-9t + 18 = -56

 -18      -18

-9t = -74

/-9     /-9

t = 74 / 9

t = 8.22

Answer:

t = 74 / 9 ~= 8.222

Step-by-step explanation:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 * 1 + 4 * -15

-9t + 18 = 4 + -60

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 / 9

Alternatively:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 ( - 14 )

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 /9

Cheers.

Answer:

Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health

Step-by-step explanation:

Answer:

y= 1/4x + 8

comparing with

y= mx + c

slope = 1/4

for y intercept x=0

y=8

Step-by-step explanation:

The slope of the line is 1/4, The y-intercept is 8.

In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.

Therefore, the slope of the line is 1/4.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = (1/4)(0) + 8

= 0 + 8

= 8

Hence, the y-intercept is 8.

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Answer:

90°

Step-by-step explanation:

If E=F, and E is the complement to F, they must both be 45 degrees.

2x45=90

180-90=90