I need the answer and why

The spider's movement is an illustration of a parabola.

(a) The equation

The spider passes through the origin.

So, we have:

[tex]\mathbf{(x,y) = (0,0)}[/tex]

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

[tex]\mathbf{(h,k) = (40,10)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(0 - 40)^2 + 10}[/tex]

Subtract 10 from both sides

[tex]\mathbf{a(0 - 40)^2 =- 10}[/tex]

[tex]\mathbf{1600a =- 10}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{160}}[/tex]

Substitute [tex]\mathbf{a =- \frac{1}{160}}[/tex] and [tex]\mathbf{(h,k) = (40,10)}[/tex] in [tex]\mathbf{(h,k) = (40,10)}[/tex]

[tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

[tex]\mathbf{Focus= (h, k + p)}[/tex]

Where:

[tex]\mathbf{p = \frac{1}{4a}}[/tex]

So, we have:

[tex]\mathbf{p = \frac{1}{4 \times -1/160}}[/tex]

[tex]\mathbf{p = -\frac{160}{4}}[/tex]

[tex]\mathbf{p = -40}[/tex]

So, we have:

[tex]\mathbf{Focus = (40,10-40)}[/tex]

[tex]\mathbf{Focus = (40,-30)}[/tex]

The axis of symmetry is:

[tex]\mathbf{x = h}[/tex]

So, we have:

[tex]\mathbf{x = 40}[/tex]

The directrix is:

[tex]\mathbf{y = k - p}[/tex]

[tex]\mathbf{y = 10 + 40}[/tex]

[tex]\mathbf{y = 50}[/tex]

Read more about parabolas at:

https://brainly.com/question/25237745

Answer:

x=36

Step-by-step explanation:

first take six away from both sides to get 3/4x=27

then divide 27 by the numerator 3 to get 9. Then multiply 9 by the denominator 4 to get 36. So 3/4 of 36=27+6=33

3/4x+6=33

We move all terms to the left:

3/4x+6-(33)=0

Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R

We add all the numbers together, and all the variables

3/4x-27=0

We multiply all the terms by the denominator

-27*4x+3=0

We multiply elements

-108x+3=0

We move all terms containing x to the left, all other terms to the right

-108x=-3

x=-3/-108  

x=1/36

I hope this helps :)

=============================================================

Explanation:

The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.

However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.

Consider the case of something like this sequence:

As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.

Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.

For more information, check out the Pigeonhole Principle.

Answer:

4/3

Step-by-step explanation:

Answer:

The answer is 4/3.

Answer:

here's your answer

hope it helps

(look at attachment)

Answer:

1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5

2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5

3.I think they don’t function because quarters are worth more than a dime.

4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.

5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5

6.Yes they can function because q=dx-12.5

The Questions:

Question 1 - 1 pts

If Jada has 4 quarters, how many dimes does she have?

Question 2 - 1 pts

If Jada has 10 quarters, how many dimes does she have?

Question 3 - 1 pts

Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.

Question 4 - 1 pts

If Jada has 25 dimes, how many quarters does she have?

Question 5 - 1 pts

If Jada has 30 dimes, how many quarters does she have?

Question 6 - 1 pts

Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.

Answer:(0,4)

Step-by-step explanation:

Answer:

maybe 34 ? or 180-34 =146

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

The two angles are congruent so x would be the same.

Jesus Loves You!

Answer:

1. 10

2. 4, and the bottom row is 21

3. divide the bottom by 4. you get 8

4. top row is 15 and bottom row is missing 6

Answer:

If the REGULAR price of the t-shirt is $18, the SALE price with a 20% discount is $14.40. Hope this helps!

Step-by-step explanation:

Answer:

1.  y > -3/5 and y < 7/5        Direction to  graph 1 below.

2. r > 1 and r < 13/3              Direction to  graph 2 below

Step-by-step explanation:

|5y - 2| + 5 > 0

Case 1    Positive ||                                 Case 2  Negative ||

5y - 2 + 5 > 0                                       -(5y - 2) + 5 > 0

5y +3 > 0                                             -5y + 2 +5 > 0

5y > -3                                                  -5y + 7 > 0

y .> -3/5                                               -5y > -7

                                                             -y > -7/5

                                                             y < 7/5   y value negative, change sign

The graph 1: open circle at -3/5;  close circle at 7/5; shade between these two numbers.  

2.    |8-3r|< 5

       Case I                                           Case II

8 - 3r < 5                                                   -(8-3r) < 5

-3r < 5 - 8                                                   -8 + 3r < 5

-3r < -3                                                         3r < 5 + 8  

-r < -3/3                                                        3r <  13

r >1       r is negative, change                        r < 13/3

            the direction of the sign

Graph 2: Open circle at 1; open circle at 13/3;  shade between the two numbers.                    

El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.

El área del paralelogramo, en centímetros cuadrados, es igual al producto de su base por su altura, ambos en centímetros. En consecuencia, el área de la figura geométrica es la siguiente:

[tex]A = (13\,cm)\cdot (8\,cm)[/tex]

[tex]A = 104\,cm^{2}[/tex]

El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.

Invitamos cordialmente a ver esta pregunta sobre paralelogramos: https://brainly.com/question/17205536

Answer:

Step-by-step explanation:

For obects already in motion, the distance travelled, s, is:

s = vi*t + (1/2)at^2

where vi is the initial velocity, a is the acceleration, and t is the time in seconds.

We want the time, t, to reach 1000 meters.

1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)

(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2

0.05t^2 + 3t -1000 = 0

Solve quadratic equation:

t = 114.6 seconds

Answer:

1. 4a+5b

2. 6p+4r

3.  -20y-3x

Answer:

1.   4a + 5b;   2.  6p + 4r;    3.  -22y - 3x

Step-by-step explanation:

1. (4a + 5b) + (2a - 6b) - 2(a - 3b)

  (4a + 5b) + (2a - 6b)  + (- 2a + 6b)         Distributive

 (4a + 2a -2a) + (5b - 6b + 6b)                 Combine like terms

  4a + 5b

 2.  2(5p - q + 2r) - (p + 4q + 3r) - 3(p -2q - r)  

       10p - 2q + 4r - p - 4q - 3r - 3p + 6q + 3r

       (10p - p -3p) + (-2q - 4q + 6q ) + ( 4r - 3r + 3r)

         6p + 0 + 4r

          6p + 4r

3.    - (9y + x) + 2(x - 6y) - (4x + y)

         -9y - x  + 2x - 12y - 4x - y

        (-9y -12y -y) + (-x + 2x - 4x)

           -22y - 3x

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

Answer:

Step-by-step explanation:

i guess we will never know.

Answer:

that's what can I give

Step-by-step explanation:

hope it helps

Answer:

1.3

2.6

3.24

Step-by-step explanation:

Hope it helps

Answer:

1/3 chance

Step-by-step explanation:

hoped this helped you!

I hope you find this useful, Mark as Brainliest please, it's very much appreciated.

Explanation:

In one minute, Diego can type 35 words;140÷4

At this rate, it will take him 11 minutes to type 385 words;385÷35

Therefore, he can type 525 words in 15 minutes; 35×15

Answer:

Hope this helps.

Step-by-step explanation:

1. 385 x 4 = 1540/140

    =11

2. 15/4 = 3.74 x 140

    =525

Answer:

B

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] + 4 = 1 ( subtract 4 from both sides )

[tex]\frac{x}{5}[/tex] = - 3 ( multiply both sides by 5 to clear the fraction )

x = 5 × - 3 = - 15 → B

Answer:

ik this

Step-by-step explanation:

i believe its 180

Answer: B) 115

Step-by-step explanation: i hop this help if not sorry :(

Answer:

1. 2.6

2. 29.1

3. 2490

4 3.4

Step-by-step explanation:

Answer:

6.5 Inches in 5 hours.

Step-by-step explanation:

1. 0.5 * 5 = 2.5

2. 9 - 2.5 = 6.5

Therefore after 5 hour's, the candle will be 6.5 inches that duration

(hope this helps!)

Answer:

Here is question number one's perimeter and area.

The points you are giving are really low so I will just do one

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

Answer:

10

Step-by-step explanation:

[tex]2^{2} +10^{2} =c^{2}[/tex]

4+100=[tex]c^{2}[/tex]

c=[tex]\sqrt{104}[/tex]

c=10.198

Round to nearest thousandth

c=10

Hope this helps :)

Comment if you need more help :) :)