By visual inspection, determine the best-fitting regression model for the
scatterplot.
X
10
.
-10
A. No pattern
B. Exponential
C. Quadratic
D. Linear

When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.

The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.

So,

[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]

When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,

[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]

When [tex]t=9[/tex] so,

[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]

nd

[tex]a(9)=-32[/tex]

Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].

To know more about the equation

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9514 1404 393

Answer:

  B (-2, 1)

Step-by-step explanation:

The trauma center will be located at the circumcenter of the triangle. That is the point of intersection of the perpendicular bisectors of the sides. Once the points are graphed, it is pretty easy to see where that will be. It is on the line x=-2, above the x-axis. Only one answer choice is appropriate:

  (-2, 1)

_____

Line AC has a slope of 1. Those points are separated by 7 units horizontally and vertically, so the midpoint is 3.5 units horizontally and vertically from either point, at (-2.5, 1.5). The perpendicular line with slope -1 through that point will intersect x=2 at y=1.

Answer:

it is .33

Step-by-step explanation:

take 33 and for each 0 move the decimal point like so

33.

3.3

.33

keep learning (:

Answer:

5years, 3months, 16 days

Answer:

6

Step-by-step explanation:

Solve the absolutes: |-6| becomes 6

and |6| doesn't change and still is 6

Substitute: 6-6-(-6)

- * - = +

6-6+6 = 6

The lub is 0.23[tex]\mathbf{\overline{43}}[/tex], while the glb is 0.2

The given set is presented as follows;

E = {0.2, 0.23, 0.234, 0.2343, 0.23434, 0.234343,...}

The least upper bound, lub, of a set, E, is known as the supremum of the set which is the number B such that all x ∈ E are of the value x  ≤ B, while there all y ∈ E has a x ∈ E such that t < x

Therefore;

The supremum, lub of the given set is 0.23[tex]\overline{43}[/tex]

The greatest lower bound, glb, b, also known as the infimum, is defined as follows;

b is the greatest lower bound if for all x ∈ E then x ≥ b

Given that b < t, then where x ∈ E, there exist a x < t

The glb of the given set is 0.2

Learn more about lub, supremum, glb, infimum, here;

https://brainly.in/question/23591741

Answer:

the third one

the line extends in both ways forever

Answer:

Luisa processed the most accounts this week, by 1.

Step-by-step explanation:

Luisa:

15 on Monday, 22 on Tuesday and 17 on Wednesday.

So a total of 15 + 22 + 17 = 54.

Rachelle:

24 on Monday, 18 on Tuesday, 11 on Wednesday.

So a total of 24 + 18 + 11 = 53.

Who has processed the most accounts this week, and by how many?

54 - 53 = 1, so Luisa processed the most accounts this week, by 1.

Answer:

.4761

I have a feeling that you are not quite getting the concept of these questions

a "Z" table "maps" a value (x-mu/sigma) to a number on a z-table chart

Your calculator has the function but the chart is simple for this questions

the numbers IN the chart represent "the percent UNDER THE NORMAL CURVE"

a z =0 is the MIDDLE so it is 50%

your questions is negative so it is to the left of the "middle"

all you have to do is find the z number on the chart and that is the answer to this question

Step-by-step explanation:

Answer:

anser b

Step-by-step explanation:

i had it

Answer:

x = √74

y = √17

Answered by GAUTHMATH

Answer:

But the answer is 42

I did I got 42 .

:(

Answer:

1/5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function

Answer:

12.5  ≥ s >0

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side length

50 ≥ 4s

Divide each side by 4

50/4 ≥ 4s/4

25/2  ≥ s

12.5  ≥ s

Answer:

-14 is the answer for the second term (?)

Answer:

3.1416

Step-by-step explanation:

A=pi*r^2, differentiate with respect to t both sides

dA/dt=2*pi*r*dr/dt

dA/dt=2*pi*5*(0.1)

dA/dt=pi=3.1416 cm^2/sec

Step-by-step explanation:

since the user is listed as beginner, I was wondering, if (while correct) the answer should be based on differentiation (rather advanced topic).

I thought originally this would be about sequences.

and I wondered about the start value.

in any case, here a different view.

the area of a circle is

Ac old = pi × r²

now, r is increasing by 0.1

Ac new = pi×(r+0.1)² = pi×(r² + 0.2r + 0.01) =

= pi×r² + pi×0.2r + pi×0.01 =

= Ac old + pi×0.2r + pi×0.01

so, the increase of the area is

pi×0.2r + pi×0.01

for r=5

pi×0.2×5 + pi×0.01

pi×1 + pi×0.01 = pi + p×0.01 = pi×(1 + 0.01) =

= pi×(1 + (radius change)²)

now, it depends on what your teacher wants to see here.

a "digital stair case" 0.1 by 0.1 increase/sequence approach ?

in this case you might also want to calculate the above with r=4.9 (as only with the last 0.1 step r reaches 5).

and either the r=4.9 (result a tiny bit less than pi) or r=5 (result a tiny bit larger than pi) is correct, of simply the value in the middle (practically pi).

or it was meant to be a continuous increase (not step by step).

in which case we need then to calculate the limit with "radius change" going to 0. which delivers pi as rate result (as with the differentiation).

Answer:

y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.

I hope this helps

9514 1404 393

Answer:

  as x → ±∞, f(x) → ∞

Step-by-step explanation:

The function is of even degree, so the end behavior is the same for x → ±∞. The leading coefficient is positive, so the end behavior is f(x) → +∞.

Answer:

(a)The probability that both marbles are blue=5/18

The probability that both marbles are yellow=1/6

(b)The probability that exactly one marble is blue​=5/9

Step-by-step explanation:

Blue marbles=5

Yellow marbles=4

Total marbles=5+4=9

(a)

Probability of drawing first  blue marble=5/9

Probability of drawing second blue marble without replacement=4/8

The probability that both marbles are blue

[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]

Probability of drawing first  yellow marble=4/9

Probability of drawing second yellow marble without replacement=3/8

The probability that both marbles are yellow

[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]

(b)

The probability that exactly one marble is blue​

=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)

The probability that exactly one marble is blue​

=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]

=[tex]\frac{5}{18}+\frac{5}{18}[/tex]

=[tex]\frac{10}{18}=\frac{5}{9}[/tex]

Answer: DE = 79

Concept:

Here, we need to know the idea of segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that points D, E, F are collinear, thus they would form a segment and F would be the point between D and E. If it was, you may refer to my answers. If it was not, you may tell me and I will redo it.

Given information

DF = 61

EF = 18

Given expression deducted from the segment addition postulate

DE = DF + EF

Substitute values into the expression

DE = (61) + (18)

Simplify by addition

[tex]\boxed{DE=79}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Hey there!

[tex]f(x) = 3. {4}^{x} [/tex]

Then;

[tex]f(3) = 3. {4}^{3} [/tex]

[tex]f(3) = 192[/tex]

Therefore, f(3) = 192.

Hope it helps!

Answer:

N80

Step-by-step explanation:

One ruler is N60 and one pencil is N20.

Answer:

32х+14

Step-by-step explanation:

[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]

Answer:

32x + 14

Step-by-step explanation:

The opposite sides of a rectangle are equal, so

perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis

                 = 18x + 10 + 14x + 4 ← collect like terms

                 = 32x + 14

Answer:

a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.

b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.

Step-by-step explanation:

Here the answer is given as follows,

Answer:

The volume can be found by multiplying these two numbers, which is

65/4 x 1/2

65/8 units^3

Let me know if this helps!

Answer:

8 1/8 units ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base and h is the height

V = 16 1/4 * 1/2

Changing to an improper fraction

V = ( 4*14+1)/4 * 1/2

  = (65/4) * 1/2

  = 65/8

Changing back to a mixed number

  = 8 1/8

Answer:

90°

Step-by-step explanation:

assuming it's upright and you swat it down it will go down by 90°

Answer:

Solution given;

principal [P]=$125,000

depreciated rate[R]=7.5%

time[t]=2 years

worth price of house [A]=???

we have

Worth price[A]=[tex]\large \bold P(1-\frac{R}{100})^{t}[/tex]

=[tex]125,000(1-\frac{7.5}{100})^{2}[/tex]

=125,000*0.925²

=125,000*0.855625

=106953.125

Answer:

50

Step-by-step explanation:

The amount of 4​% butterfat milk  is equal to x quarts , When 1​% butterfat milk  is equal to 75-x. The amount of butterfat in 4​% butterfat milk is x/100*4=0.04x

The amount of butterflat in 1​% butterfat milk is (75-x)/100= 0,75-0.01x

1​The amount of butterflat in 75 quarts of 3​% butterfat milk (our desired mixture) is 75/100*3= 2.25

This quantity (2.25) is the sum of butterfat from  4​% butterfat milk and 1​% butterfat milk(the sum of 0.04x and 0.75-0.01x)

the equation is

0.04x+0.75-0.01x=2.25

0.03x=1.5

x=50

Answer:

1250 amps

Step-by-step explanation:

V = 5000 V

R = 4 ohms

Use ohms law: V = IR

5000 =I(4)

I = 1250 amps

Answer:

can't understand the language