The size of a population of fish in a pond is modeled by the function P, where P(t) gives the number of fish and t gives the number of years after the first year of introduction of the fish to the pond for 0≤t≤10. The graph of the function P and the line tangent to P at t=4 are shown above. Which of the following gives the best estimate for the instantaneous rate of change of P at t=4 ?

Answer:

3/8 L

Step-by-step explanation:

Set up a ratio:

1 L/8 hrs=x L/3 hrs (same as 180 minutes)

Cross multiply to solve.

8x=3 so x=3/8 L

Answer:

a × 2 means 'a' multiplied by 2

a(2) also means 'a' multiplied by 2

So both mean the same.

a × 2 means 2 times the value of variable "a".

a(2) represents a function "a" with input 2.

a × 2 means the value of variable "a" multiplied by 2. In mathematical terms, it is simply "2 times a" or "2 * a."

a(2) indicates a function notation, where "a" is a function and "2" is the input to that function.

It is not multiplication but rather a way of representing the value of the function "a" when the input is 2.

Hence, a × 2 means 2 times the value of variable "a".

a(2) represents a function "a" with input 2.

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9514 1404 393

Answer:

Step-by-step explanation:

Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.

  6w +12d = 204 . . . . . . Ryan's sale

  7w +7d = 147 . . . . . . . . Cody's sale

We can divide out the common factor to put these equations into standard form:

  w +2d = 34

  w +d = 21

Subtracting the second of these equations from the first, we get ...

  (w +2d) -(w +d) = (34) -(21)

  d = 13

Using the second equation, we can find w:

  w = 21 -d = 21 -13 = 8

The costs of the chocolate chip cookie dough packages are ...

  white: $8

  double: $13

Answer:

the equation is x + 2x + 2x + 7 = 327

or 5x + 7 = 327

x = 64

Trisha has 135 votes.

Step-by-step explanation:

Jill has x votes.

If Morgan got twice as many votes as Jill, then Morgan has

2 times the number of votes

or 2x

Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount

2x + 7

So assuming Jill, Morgan, and Trisha are the only three candidates:

then x + 2x + 2x + 7 = 327

Combine like terms

5x + 7 = 327

Subtract 7 from both sides

5x = 320

x = 64

Check answer for x:

64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327

So Trisha has

2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes

Answer:

[tex]thank \: you[/tex]

Answer:loss

Step-by-step explanation: I mean for example you are profiting money and you just had a loss of money

Answer:

(p - 3q)/ 5p

Step-by-step explanation:

p^2 - 7pq + 12 q^2

= (p - 3q)(p - 4q)

and

5p^2 - 20 pq = 5p(p - 4q)

The p - 4q is common to both expressions so the answer is

(p - 3q)/ 5p.

Answer:

[tex]\frac{p-3q}{5p}[/tex]

Step-by-step explanation:

Given

[tex]\frac{p^2-7pq+12q^2}{5p^2-20pq}[/tex] ← factorise numerator and denominator

= [tex]\frac{(p-4q)(p-3q)}{5p(p-4q)}[/tex] ← cancel (p - 4q) on numerator/ denominator

= [tex]\frac{p-3q}{5p}[/tex]

Answer: 625 estudiantes

Step-by-step explanation:

100%-60%=40% varones

40/100 = 250/x

(250*100)/40 = 625 estudiantes

Answer:

113.1 cm³

Step-by-step explanation:

we even have the formula. we only need a calculator to simply type this in.

the only "trap" here : we were given the diameter, and for the radius we need to cut that in half.

so,

r = 3

V = 4/3 × pi × r³ = 4/3 × pi × 3³ = 4/3 × pi × 27 =

= 4 × pi × 9 = 113.1 cm³

Answer:

(-9,-9)

Step-by-step explanation:

B = (-9,-9)

A = (9,-3)

Midpoint M = (0,-6)

Step-by-step explanation:

Here,we have,

(x, y) =M(0,-6)

(x1, y1) =A(9,-3)

(x2, y2) =coordinates of B=?

Using midpoint formula, we get,

x=x1+x2÷2

or, 0=9+x2÷2

or, 0×2=9+x2

or, 0-9=x2

or, x2=-9

therefore, x2=-9

Now,

y=y1+y2÷2

or, -6=-3+y2÷2

or, -6×2=-3+y2

or, -12+3=y2

or, y2=-9

therefore, y2=-9

Hence, the coordinates of B are (-9, -9)..

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina ba de for

Step-by-step explanation:

The function is an illustration of a linear graph

The graph of the function has a slope of 3, and a y-intercept of -9

The equation is given as:

[tex]y - 3 = 3(x - 4)[/tex]

Open the bracket

[tex]y - 3 = 3x - 12[/tex]

Add 3 to both sides of the equation

[tex]y = 3x - 12+3[/tex]

Evaluate the like terms

[tex]y = 3x -9[/tex]

The above means that:

The graph of the function has a slope of 3, and a y-intercept of -9

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9514 1404 393

Answer:

  91

Step-by-step explanation:

√7653 is about 87.48

The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...

  7744 -7653 = 91

Adding 91 to 7653 will make it a perfect square.

Step-by-step explanation:

6x-4(x+3)

6x-4x-12

2x-12

So, option b is correct.

I hope it helped u

stay safe stay happy

Answer:

100 pages

Step-by-step explanation:

total number of pages = 286 + 424 + 290 = 1000

equal amount in 10 days,

number of pages hhe should read in the first day = 1000/10 = 100

Answer:

a^2 + b^2 = c^2

a^2 + 24^2 = 25^2

a=7

Step-by-step explanation:

Answer:

1/40

219/250

69/16

Step-by-step explanation:

1.

0.025=(025)/(1000)=1/40

2.

0.876=876/1000=219/250

3.

4.3125=43125/10000=1725/400=69/16

Answer:

$5.05

Step-by-step explanation:

$30-4.75=25.25 (cost of total pens)

25.25÷5=$5.05 (there are 5 pens so divide by 5)

Answer:

[tex]x = \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{3}{2x} - \frac{2}{3x} [/tex]

➡️ [tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]

➡️ [tex] \frac{5}{6x} = 2[/tex]

➡️ [tex]5 = 12x = 12x = 5[/tex]

➡️ [tex]x = \frac{5}{12} [/tex]

Answer:

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{2}[/tex] x - [tex]\frac{2}{3}[/tex] x = 2 ( multiply through by 6 to clear the fractions )

9x - 4x = 12

5x = 12 ( divide both sides by 5 )

x = [tex]\frac{12}{5}[/tex]

Answer:

The correct choice is option B. -7 ≤ x < 12

Step-by-step explanation:

Step-by-step explanation:

Solution,

Area=38.5 cm²

by using the formula of are of a circle i.e, πr², we get

πr²= 38.5 cm², where π=22/7

r²=38.5 cm²/π

r²=12.25 cm²

r=√12.25 cm²

r=3.5 cm

Now, by using the formula of circumference of a circle i.e, 2πr, we get

2πr=2×π×3.5 cm, where π=22/7

=22 cm

So, the circumference of the circle is 22 cm.

I hope it helped U

stay safe stay happy

Answer:

The circumference is 21.9899977262 (22 if rounded).

Step-by-step explanation:

First, we need to multiply pi by the area of the circle (3.14 x 38.5). This gives us 120.89. Next, we need to find the square root of 120.89. Which gives us 10.9949988631. Now we need to mulitply 10.9949988631 b which gives us 21.9899977262. Now if you would like you can round the number. This gives us a final answer of 22.

Let me know if you have any questions.

Answer:

So the answer is zero slope, since the line is parallel to x-axis

Answer:

This slope is a horizontal slope which is also known as the slope of 0 because it has an infinite number of x values but just one y vale (in this case it is -1) .

I hope this helps :)

Answer:

Perimeter = 30 + 4[tex]\pi[/tex]  ≈42.56 cm

Area = 88 - 8[tex]\pi[/tex] ≈ 62.88 cm^2

Step-by-step explanation:

area of rectangle = 11* 8 = 88

Perimeter of rectangle = 38

perimeter of circle = 2[tex]\pi[/tex]4 = 8[tex]\pi \\[/tex]

area of circle =  [tex]\pi 4^{2}[/tex] = 16 [tex]\pi[/tex]

Answer:

Step-by-step explanation:

Area of shaded region = Area of rectangle - area of semi circle

Rectangle:

length = 11 cm

Width = diameter of circle = 4 + 4 = 8 cm

Area 1 =  length * width

          = 11 * 8

          = 88 sq. cm

Circle:

radius  = r = 4 cm

Area of semicircle =  [tex]\dfrac{1}{2}\pi r^{2}\\[/tex]

                             [tex]=\dfrac{1}{2}*3.14*4*4\\\\= 25.12 \ cm^{2}[/tex]

Circumference of semicircle = [tex]\dfrac{2\pi r}{2}=\pi r[/tex]

                                               = 3.14 * 4

                                               = 12.56 cm

Area of the shaded region = 88  - 25.12 = 62.88 = 63 square cm

Perimeter of shaded region = 11 + 8 + 11 + circumference of semicircle

                                                 = 11 + 8 + 11 + 12.56

                                                 = 42.56

                                                 = 43 cm

Answer:

a but

Step-by-step explanation:

i think a

Step-by-step explanation:

. The vertex for angle BAC, written ∠BAC, is point A. The angle can also be named as ∠CAB or by only its vertex, ∠A. W

#1

√ab=√a√b

#2

Let they be x and x+2

It's given that two consecutive square nos

A square no must be positive integer so -9 can't be that

The next odd no=7+2=9

The numbers are 7 and 9

Answer:

Part A: 2m/1s

Part B: 7m/6s or 5m/2s (I'm new to this as well)

Part C: 0m/1s

Part B is the fastest because the slope is the steepest and Part C is the slowest because there's no speed happening; it's at rest.

Step-by-step explanation:

Answer:

128 : 192 : 240

Step-by-step explanation:

Given that

A : B = 2 : 3

That is B = 1.5A

Then in fractional form

[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so

[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4C = 7.5A ( divide both sides by 4 )

C = 1.875A = 1.875 × 2 = 3.75

The ratios of A : B : C = 2 : 3 : 3.75

Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75

Divide the quantity by 8.75 to find the value of one part of the ratio

560 ÷ 8.75 = 64 , then

2 parts = 2 × 64 = 128

3 parts = 3 × 64 = 192

3.75 parts = 3.75 × 64 = 240

Then A : B : C = 128 : 192 : 240

Answer:

LM=11

Step-by-step explanation:

LN= ML+MN

4x+9=(2x+7)+(3x)

4x+9=5x+7

5x-4x= 9-7

x=2

LM=2x+7 =2(2)+7=4+7=11