I need help with math???

To make sure the flip is in unison, after 4  seconds should the flip occur, as given by the option C: 4 seconds.

Synchronized motion is a motion of two or more system which goes in syncronization with each other.

For this case, the flip will occur such that both gymnasts are synchronized and flip is unison (simultaneous).

For that, we need the time(x) and the height (y) same.

Since the motion paths are:

[tex]y= -(x-5)^2 + 3\\\\y = -3(x-3)^2 + x + 1[/tex]

Therefore, we need to find the values of x for which same y comes as output.

Let  x =  t be the time for which the height y is same, then:

[tex]-(t-5)^2 + 3 = -3(t-3)^2 + t + 1[/tex] = height achieved by both gymnasts.

Solving it further:

[tex]-(t-5)^2 + 3 = -3(t-3)^2 + t + 1\\3(t^2 + 9 -6t) -(t^2 + 25 -10t) -t + 2 = 0\\\\2t^2 -9t + 4 = 0\\2t^2 -8t - t + 4 = 0\\2t(t-4) -1(t-4) = 0\\(2t -1)(t-4) = 0\\\\t = 4, t = 1/2[/tex]

Assuming they planned to do flip after integral number of time in seconds, the correct option is t = 4 seconds.

Thus, to make sure the flip is in unison, after 4  seconds should the flip occur, as given by the option C: 4 seconds.

Learn more about solving system of equations here:

https://brainly.com/question/2825832

Answer:

5 seconds

Step-by-step explanation:

Put the equations in desmos and you will see they intersect at 5 seconds.

This is definitely correct.  Here is proof:

Answer:

I believe its D

If correct please give brainliest

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The first inequality, y ≥ 2x + 1 has no solution below the function since it is  greater than OR EQUAL to it. Similarly, the second inequality, y > 1/2x - 1 has no solution at or below the function since it is only GREATER THAN this value.

If we look at the graph of these inequalities, we see that they don't overlap at all in quadrant IV. For that reason, this area of the graph there will have no solution, or empty set.

Hope this helps and God bless!

Answer:

28.27 inches

Step-by-step explanation:

hope this helps :)

Answer:

✏If the rod is held straight then the angle alpha equals 90°,therefore the required solution is 45°

Step-by-step explanation:

Answer:

  3334 N·m

Step-by-step explanation:

Work is the product of force and distance. The force used in the product is the force that is in the direction of motion.

__

The horizontal component of the applied force is ...

  F = (35 N)cos(30°) ≈ 30.311 N

Then the work done is ...

  W = Fd

  W = (30.311 N)(110 m) = 3334 N·m

The spinner illustrates probability, and it is expected that a vowel will be spun approximately 10 times

In the spinner, we have:

Sections = 6

Vowels = 2 i.e. A and E

The expected number of vowels in 30 spins is:

Expected = Vowels/Sections * 30

This gives

Expected = 2/6* 30

Evaluate the product

Expected = 10

Hence, it is expected that a vowel will be spun approximately 10 times

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

the answer is 10

Step-by-step explanation:

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3[/tex]

[tex]\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}[/tex]

Answer:

B. rotation

Step-by-step explanation:

A reflection would mean that the shape would be mirrored across the y-axis or the x-axis. A translation means that nothing about the shape changes except for the location. A dilation (not an answer option but still helpful to know) is the change in size of the shape. And finally, the correct answer for this problem, a rotation means that the shape is rotated at a specific point.

I included a picture that uses a shape to help explain this idea. I hope this helps! Have a lovely day!! :)

Step-by-step explanation:

108 x 9 = 972

so it's 972 dollars

Answer:

c. 18[tex]\pi[/tex] cubic inches

Step-by-step explanation:

half sphere's volume:

[tex]V=\frac{2}{3} \pi r^{3}[/tex]  r = 6/2 = 3 inches

[tex]V=\frac{2}{3} \pi (3)^{3} =\frac{2}{3}( 27\pi )=\frac{54}{3} \pi =18\pi[/tex]

Hope this helps

Answer:

8 :)

Step-by-step explanation:

Side 1: 15

Side 2: 14

Side 3: 7 + x

Side 1 and 3 are the same length so we subtract :D

15 - 7 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

6/14 or simplify it to 3/7

Step-by-step explanation:

this is because you have a total of 14 marbles

Answer:

B: Every input value corresponds to only one output value.

Answer:

3b

Step-by-step explanation:

unless b stands for something it should be just that

Answer:

81

Step-by-step explanation:

f ( x ) = ( x - 3 )² + 17

To find : f ( - 5 )

f ( - 5 ) = f ( x )

Here,

x = - 5

f ( - 5 ) = ( - 5 - 3 )² + 17

          = ( - 8 )² + 17

          = 64 + 17

f ( - 5 ) = 81

The product  (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

First let w = y-4x make distribution a bit easier

(y−4x)(y^2 + 4y + 16)

[tex]w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\[/tex]

now put the values of w in the equation

[tex](y-4x)y^2 + (y-4x)4y + (y-4x)16\\y^3-4xy^2 + 4y^2-16xy+16y-64x\\[/tex]

Here the value of a is 16.

Learn more about the distributive property:

https://brainly.com/question/26207297

Answer:

16

Step-by-step explanation:

Answer:

x = log 17frac 23 (3)

(50)

Step-by-step explanation:

500 x 0.85 x at the top =30x1.15 x at the top again.

Answer:

113°

Step-by-step explanation:

1) according to the condition m(∠B)=m(∠D)=67°;

2) m(∠C)=180°-m(∠B)=180°-m(∠D);

m(∠C)=180-67=113°.

(i) 1.272727...

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1.\overline{27}}}}[/tex] [tex]\bf{i.}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:1.\overline{27}}}}[/tex]

Multiplying both the sides by 100.

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:100=1.\overline{27}\:*\:100}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x=127.\overline{27}}}}[/tex] [tex]\bf{ii.}[/tex]

Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x\:-\:x=127.\overline{27}\:-\:1.\overline{27}}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{99x=126}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{126}{99}}}}[/tex]

Reducing it to lowest form

[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{14}{11}}}}[/tex]

[tex]\gray{\rule{300pt}{0.3em}}[/tex]

(ii) 0.1282828...

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{0.1\overline{28}}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:0.1\overline{28}}}}[/tex]

Multiplying both sides by 10

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:10=0.1\overline{28}\:*\:10}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x=1.\overline{28}}}}[/tex] [tex]\bf{i.}[/tex]

Multiplying both sides by 100

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x\:*\:100=1.\overline{28}\:*\:100}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x=128.\overline{28}}}}[/tex] [tex]\bf{ii.}[/tex]

Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x\:-\:10x=128.\overline{28}\:-\:1.\overline{28}}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{990x=127}}}[/tex]

[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{127}{990}}}}[/tex]

[tex]\gray{\rule{300pt}{0.3em}}[/tex]

Answer:

Friday: 18 tickets  Saturday:24 tickets  Sunday: 2 tickets

Step-by-step explanation:

120-102=18 tickets

120-96=24 tickets

120-118=2 tickets

TYSM I REALLY NEEDED IT TY!!

it helped me

At a local high school, enrollment in the drama club increases by 5%. the common ratio will be 1.05.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At a local high school, enrollment in the drama club increases by 5%.

Let an initial number of students in high school be 'a'.

so next year increase in students will be = 5% of a

                                                                   = 5/100 × a

                                                                   = 0.05a

and total number of the students will be  = ( a + 0.05a )

                                                                   = ( 1.05a )

So common ratio of the geometric square formed

( 1.05a )/ a =  1.05

Therefore, the common ratio will be 1.05.

Learn more about percentages;

https://brainly.com/question/14816043

Answer:75% percent chance of picking a card greater than 1 and a 50% chance of picking a card greater than 2

Step-by-step explanation:

please pick me as brainliest

Answer:

5 1/3 bags

Step-by-step explanation:

12/9 = 1 1/3 bags per pot

4 * 1 1/3 = 5 1/3 bags to fill the pots

Answer:

3 bags

Step-by-step explanation:

Given

Solving

Answer:

22/29

Step-by-step explanation:

First, add up all of the numbers given:

16 + 4 + 6 + 3 = 29

Now since there are 16 students who have a dog and a cat, and 6 who only have a dog, we add those numbers:

16 + 6 = 22

Now since there are 29 total numbers, that will be the number of outcomes out of the 22 people with dogs:

22/29

The answer is "no solution"

Answer:

look below

Step-by-step explanation:

Slope =  materials cost per student

Y—intercept = cost of renting the classroom

Answer:

Perpendicular cross section of a pyramid -------   triangle.

Perpendicular cross section of a cylinder -------  rectangle

parallel cross section of a sphere ------ circle

shape create....    -----    cylinder.  

Step-by-step explanation:

Imagine you cut pyramid like that. Height of pyramid would be height of your triangle. and sides of pyramid would be sides of triangle.

diameter of a base of cylinder would be one side of rectangle and height of cylinder would be other side of rectangle. (pair of sides)

when you cut sphere a side would apear with shape of circle.

one side of rectangle would be hight of cylinder and other would be radius of it.

last one is cone.  If you place right angle in coordinate beginning (0.0) and one of shorter sides to lie on y axis other would be on x axis. when rotated you get cone.

Answer:

y = - 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (7, - 9 ) into the partial equation

- 9 = - 14 + c ⇒ c = - 9 + 14 = 5

y = - 2x + 5 ← equation of line