Find the domain and range of the relation: {(–20, 11), (6, –8), (1, –20), (–13, 13)}

Answer:

3cm/s

Step-by-step explanation:

Area of a square is expressed as:

A = L²

Rate of change of area is expressed as:

dA/dt = dA/dL•dL/dt

Given that

dA/dt = 24cm²/s

L = 4cm

Required

dL/dt

Since dA/dl = 2L

dA/dl = 2(4)

dA/dl = 8cm

Subatitute the given values into the formula

24 = 8 dL/dt

dL/dt = 24/8

dL/dt = 3cm/s

The scatter plot showing data gathered and line of best fit is attached below :

Answer:

69

Step-by-step explanation:

Given the regression model :

y = 1.73x + 0.0924

Where,

y = number of pink flowers

x = Red flowers

Slope = 1.73

Intercept = 0.0924

The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :

Put x = 40 and calculate the value of y

y = 1.73(40) + 0.0924

y = 69.2 + 0.0924

y = 69.2924

Number of pink flowers = 69

Answer:

(-1, -6)

Step-by-step explanation:

This a term in this function is not negative, which would make it be flipped over the x-axis. Therefore this function takes the typical parabola shape, and it will have a minimum point.

To find the x-value of the minimum use the formula -b / 2a.

-12 / 2(6) = -1

Then plug in the x-value and find the y-value for this function

f(-1) = 6(-1)^2 + 12(-1) = -6

Answer:

c c c c c c c c c c c c c c c c c c c c

Answer:

second can

Step-by-step explanation:

The radius is half of the diameter.

The radius is squared in the formula for the volume of the cylinder.

A diameter of 7 and height of 6 will make a larger can than a diameter of 6 and height of 7.

You'll need 2 more lines to complete this two column proof.

---------------------

Line 4

For the "statement" portion, you'll say something like [tex]\angle 2 \cong \angle 3[/tex]

The reason for this statement is "transitive property"

We're basically combining lines 1 and 3 to form this new line.

The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.

---------------------

Line 5

The statement is what you want to prove since this is the last line.

So the statement is [tex]p || q[/tex]

The reason is "converse of corresponding angles theorem"

As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".

Answer:

Box dimensions:

x =  3.42 cm

y = 6.84 cm

C(min) = 14.04 $

Step-by-step explanation:

We need the surface area of the cube:

S(c)  =  2*S₁ ( surface area of top or base) +  4*S₂ ( surface lateral area)

S₁  = x²        2*S₁  = 2*x²

Surface lateral area is:

4*S₂  =  4*x*h                          V(c) =  80 cm³  =  x²*h          h  =  80/x²

4*S₂  = 4*80/x

4*S₂  = 320 / x

Costs

C (x)  =  0.2* 2*x²   +  0.1 * 320/x

Taking derivatives on both sides of the equation we get:

C´(x)  =    0.8*x   -  32/x²

C´(x)  =  0            0.8*x - 32/x²  = 0

0.8*x³  -  32  =  0            x³  =  32/0.8

x³  =  40  

x =  3.42 cm

h =  80/(3.42)²          h  = 6.84 cm

To find out if x = 3.42 brings a minimum value for C we go to the second derivative

C´´(x) =  64/x³       is always positive for  x > 0  

The C(min) = 0.4*(3.42)²  +  32/(3.42)

C(min)  =  4.68 +  9.36

C(min)  = 14.04 $

Answer:

[tex]AC = 87[/tex]

Step-by-step explanation:

Given

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

[tex]BC = 4x -1[/tex]

[tex]AC = 8x - 9[/tex]

Required

The value x

Since A, B and C are collinear, then;

[tex]AC = AB + BC[/tex]

This gives:

[tex]8x - 9 =3x+4+4x-1[/tex]

Collect like terms

[tex]8x - 3x - 4x = 9 + 4-1[/tex]

[tex]x = 12[/tex]

We have:

[tex]AC = 8x - 9[/tex]

[tex]AC = 8*12 - 9[/tex]

[tex]AC = 87[/tex]

Answer:

4.48 years

Step-by-step explanation:

The formula for simple interest is

A = P(1+r*t), with A being the final amount, P being the initial amount, r being the interest rate, and t being the time. Plugging our values in, we get

1750 = 1500(1+0.0372 * t)

Note that 3.72 was translated into 0.0372 as changing percents to decimals requires dividing by 100

Expanding our equation, we get

1750 = 1500 + 55.8 * t

subtract 1500 from both sides to isolate the t and its coefficient

250 = 55.8 * t

divide both sides by 55.8 to get t

t = 4.48

Answer:

2×8-4^2

=16-16

=0

0 is the porduct

Solution :

The significant figure of a number are defined as the positional notation of that number which are most reliable and are absolutely necessary to represent the quantity of something.

In the context, we have to express the given numbers into three significant figures in the form of scientific notation or in the exponential form :

(i). 5590    -----    [tex]$5.59 \times 10^3$[/tex]

(ii).  0.000498   -----    [tex]$4.98 \times 10^{-4}$[/tex]

(iii) 135000  -----   [tex]$1.35 \times 10^5$[/tex]

(iv) 0.000438   -----  [tex]$4.38 \times 10^{-4}$[/tex]

Answer:

25

Step-by-step explanation:

x = distance of the hike

y = number of friends coming along

so, we are looking for a linear relationship between these two.

y = ax + b

we need to find the factor a and the constant offset b.

19 = a×3 + b

7 = a×5 + b

7 - b = a×5

a = (7-b)/5

19 = (7-b)×3/5 + b

19 = (21 - 3b)/5 + b

95 = 21 - 3b + 5b

74 = 2b

b = 37

a= (7-37)/5 = -30/5 = -6

so, the relationship is

y = -6x + 37

for 2km hiking

y = -6×2 + 37 = -12 + 37 = 25 friends

Answer:

24 26 27 94 is the answer 45

Answer:

the correct answer is 45

Answer:

There is not enough info to tell

Step-by-step explanation:

Khan acadamey

Without any extra conditions, the answer could be 3, and the simplest polynomial with the given roots would be

(x + 5) (x - (1 + 4i )) (x + 4i )

= x ³ + 4x ² + (11 - 4i ) x + 80 - 2i

If the polynomial is supposed to have only real coefficients, then any complex roots must occur along with their complex conjugates:

(x + 5) (x - (1 + 4i )) (x - (1 - 4i )) (x + 4i ) (x - 4i )

= x ⁵ + 3x ⁴ + 23x ³ + 133x ² + 112x + 1360

and then the degree would be 5.

Answer:

A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.

Step-by-step explanation:

Step-by-step explanation:

ejejejejrjruruehehhr

Answer:

2000

Step-by-step explanation:

2225 to the nearest 100 is 2300 but 3

<5 so it is 2000

Answer:

The square root property should have been applied to both complete sides of the equation instead of to select

variables.

Answer:

To create the graph of k(x) , the graph of f(x)   undergoes  a vertical stretching  by a factor of 9.

Step-by-step explanation:

We are given that

[tex]k(x)=9f(x)[/tex]

We have to Identify the transformation that occurs to create the graph of k(x).

To create the graph of k(x) we will multiply the function f(x) value by 9.

Let f(x) be any function

[tex]g(x)=a f(x)[/tex]

Where a>1

It means to obtain the graph  of g(x) the graph f(x)  has  undergone a vertical stretching  by a factor of a.

We have k=9>1

Therefore, to create the graph of k(x) , the graph of f(x) undergoes a vertical stretching  by a factor of 9.

Answer:

D

Step-by-step explanation:

solution is the points where the two graphs intersect.

they intersect at (-3,-3) and (0,6)

Answer:

answer is in the pic Mark me brainliest plz

Step-by-step explanation:

Answer:

The probability of the first alarm failing is  (1 - 0.8) = 0.2

The probability of the second alarm failing is (1−0.9)=0.1.

Using the multiplication rule (since A and B are independent), the probability of failure is 0.2 * 0.1 = 0.02

Step-by-step explanation:

Answer:

- Surveyors

- developers of the GPS system

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

28.27 in²

Step-by-step explanation:

The equation for the area of a circle is A = π[tex]r^{2}[/tex]. However, we got the diameter.

diameter = 2(radius), so:

A = [tex]\frac{1}{4}[/tex]πd².

A = 1/4 * π * 6² ≈ 28.27433

Answer:

180

Step-by-step explanation:

Given the cost (in dollars) of buying x pounds of a party product is given by the function

C(x) = 10x + 300.

Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.

To get the domain of the function, substitute C(x) =2100 and find x

2100 = 10x + 300

10x = 2100 - 300

10x = 1800

x = 1800/10

x = 180

Hence the domain of the function is 180

Answer:

ok so what i think your trying to ask is if we roll two dice that the sum will be more then 6

Two dice

Assuming that the dice are unbiased or not " loaded".

Each side has the same probability, is 1/6 =0.16667, to turn up when rolled, if the die (D) is unbiased. The probability of a side turning up on D1 when 2 dice ( D1,D2) are rolled, is independent of the side turning up in D2. So this is an independent event.

How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?

These are the possibilities

Case 1.

D1 =1 & D2=5

Or

D1= 5 & D2=1

Case 2.

D1 =2 & D2=4

Or

D1= 4 & D2= 2

Case 3. D1=3, D2=3

P3 =0.027778

Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.

The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.

P1= 0.02778+ 0.02778 =0.055558

P2= 0.02778+0.02778 =0.055558

Same way,

P3=0.027778, when there is only one way to get the sum 6.

So, P = 0.138894

Based on truncating at the sixth decimal place.

A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.

Hope This Helps!!!