The graph shown compares the number of pages of the same book read by Emily and Serena over time.

How many minutes after Serena started reading would the number of pages read by them be equal?

Since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

The trapezium is a 2 -dimensional shape consisting of a triangle and a square.

The formula for calculating the area of a trapezoid is expressed as:

Area = 0.5(a + b)h
Area = 0.5(500 + 900) * 800
Area = 700 * 800
Area = 560000 square feet

Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:

Required acre = 560000/43560
Required acre = 12.856 acres

Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

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Answer:

the function has one x intercept is the correct answer of given statement

The probability that the first pencil is green and the second pencil is yellow is 0.16.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the first pencil is green and the second pencil is yellow = (number of green pencils / total number of pencils) x (number of yellow pencils / total number of pencils)

5/17 x 9/17 = 0.16

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Answer:

where is the shape ???????

Answer:

Your Answer is D.

Step-by-step explanation:

There isn't much to explain but look at the graph.

The slope of m = rise/run.

m = 1/2

b = -3/2

y = mx + b

Answer:

twin what does H mean?

Step-by-step explanation: if you mean 8 the answer is 72.

Answer:

6/8, 12/16, and so on. I wasn't sure how you wanted this question to be answered, but 3/4 is also 0.75

Step-by-step explanation:

Answer:

67.5 kgs.

Step-by-step explanation:

1 pound = 0.45 kg

1 1/2 pounds = 0.45 + 1/2 * 45

= 67.5 kgs.

Answer:

[tex]\displaystyle a_1 = 44[/tex]

Step-by-step explanation:

Recall the direct formula for an arithmetic sequence:
[tex]\displaystyle a_n = a_1 + d(n-1)[/tex]

Where d is the common difference.

Therefore, we can write the following two equations:
[tex]\displaystyle \left \{ {a_4 = 107 = a_1 + d(4-1)\atop {a_8 = 191 = a_1 + d(8-1)}} \right.[/tex]

Solve the system. Simplifying yields:
[tex]\displaystyle 107 = a_1 + 3d\text{ and } 191 = a_1 + 7d[/tex]

Subtracting the two equations into each other yields:
[tex]\displaystyle \begin{aligned} (191) - (107) & = (a_1 + 7d) - (a_1 + 3d) \\ \\ 84 & = 4d \\ \\ d & = 21 \end{aligned}[/tex]

Using either equation, solve for the initial term:

[tex]\displaystyle \begin{aligned} 107 & = a_1 + 3(21) \\ \\ a_1 & = 107-63 \\ \\ & = 44\end{aligned}[/tex]

In conclusion, the initial term is 44.

Answer:

[tex]\huge\boxed{\bf\:a_{1} = 44}[/tex]

Step-by-step explanation:

In the given arithmetic series,

We know that,

[tex]\boxed{a_{n} = a + (n - 1)d}[/tex]

Therefore,

[tex]a_{4} = a + 3d = 107 -----(1)\\a_{8} = a + 7d = 191 -----(2)[/tex]

By solving the two equations (1) & (2)....

[tex]\:\:\:\:a + 7d = 191 \\-\underline{a + 3d = 107 }\\ \underline{\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:4d = 84\:\:\:\:\:\:\:\:}}\\\\\\\\4d = 84\\d = 84 \div 4\\\boxed{d = 21}[/tex]

Now, we have the value of the common difference (d). To find [tex]a_{1}[/tex] or a, let's substitute the value of 'd' in (1).

[tex]a + 3d =107\\a + 3(21)=107\\a + 63 = 107\\a = 107 - 63\\\boxed{\bf\:a_{1} = 44}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Q2: J. all real numbers.

Q4: [tex]f(3)=-20[/tex]

Q15: [tex]y=-3x+5[/tex]

Step-by-step explanation:

Q2: J. All real numbers.

Range: It can be [tex]y\geq 1[/tex].

It can't be [tex]y\geq 2[/tex].

Domain: It can't be [tex]x\geq 1[/tex] because it is going from (-∞,+∞)

Q4:

[tex]f(x)=-2x^2+x-5,f(3)=?[/tex]

Plugin x with 3 into the equation.

[tex]f(3)=-2(3)^2+(3)-5\\f(3)=-2*9+3-5\\f(3)=-18+3-5=-20\\f(3)=-20[/tex]

Q15: point-slope form.

[tex]y-(y_1)=m(x-x_0)[/tex], plugin [tex](2,-1)=(x_0,y_0)[/tex] and m=-3

[tex]y-(-1)=-3(x-(2))\\y+1=-3(x-2)\\y+1=-3x+6\\y=-3x+5[/tex]

Answer:

375 units²

Step-by-step explanation:

A = bh/2

A = (75)(10)/2

A = 750/2

A = 375

Answer:

5.99 days.

Step-by-step explanation:

If you are asking how many days he can rent the car then this is the correct answer.

So first multiply 275 x .06 to get how much money he will spent on the mileage. Which is $16.50. Then subtract that from $450 which is $433.50 and divided by $72.37.

Answer:

So this is what hello means :):):):):):):)

Step-by-step explanation:

Answer:

79/156

Step-by-step explanation:

we know that cosx is the adjacent side over the hypotenuse.

hence, we can find the opposite side using the pythagorean theorem.

sqrt(13^2 - 5^2)

therefore, the opposite side is 12

opposite: 12

adjacent: 5

hypotenuse: 13

not that cot is adjacent over opposite while sin is opposite over hypotenuse.

So,

12/13 - 5/12

the answer is 79/156

Answer:

78.5%

Step-by-step explanation:

You take the area of the circle which is pie*r^2

and divide it by the area of the square

Answer:

38 cm

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of all its sides.

We have two unknown length, so let's find their lengths first.

x= 10 -6= 4 cm

y= 9 -2= 7cm

Let's add all the lengths together to find the perimeter:

Perimeter

= 9 +10 +2 +6 +7 +4

= 38 cm

Answer:

  2 solutions

Step-by-step explanation:

In order to answer a question "based on the graph," we need to have a graph of the equation. A graph provided by a graphing calculator is attached.

The cubic intersects the x-axis at two distinct points.

There are two (2) distinct real solution to the equation. (x = -1, x = 2).

Answer:

a(5) = 1.080

a(10) =  0.393

a(20) =  0.122

Step-by-step explanation:

Take the derivative of velocity v(t) -> acceleration a(t)

v(t) -> a(t)

Quotient Rule: [tex]\frac{u*dv-du*v}{u^2}[/tex]

[tex]120*\frac{x}{5x+13}[/tex]

Make u= 5x+13 and v=x

[tex]120*\frac{x'*(5x+13)-x*(5x+13)'}{(5x+13)^2}\\\\120*\frac{1*(5x+13)-x*(5)}{(5x+13)^2}\\\\120*\frac{(5x+13)-5x}{(5x+13)^2}\\120*\frac{13}{(5x+13)^2} \\\\a(t)=\frac{1560}{(5x+13)^2}[/tex]

Now Subsitute your a(5) , a(10) , a(20). Also, round to 3 decimal place.

a(5) = 1.08033241 = 1.080

a(10) = 0.3930461073 = 0.393

a(20) = 0.122170826 = 0.122

Answer:

  (a) 1.080 ft/s²

  (b) 0.393 ft/s²

  (c) 0.122 ft/s²

Step-by-step explanation:

Acceleration is the derivative of velocity. You are being asked to differentiate the given function and evalutate the derivative at three different times. The function is a rational function, so the formula for the derivative of a ratio is applicable.

  (u/v)' = (vu' -uv')/v²

__

For the given velocity function, the accleration is ...

  v(t) = (120t)/(5t +13)

  a(t) = v'(t) = ((5t +13)(120) -(120t)(5))/(5t +13)² = 1560/(5t +13)²

At t=5, the acceleration is ...

  a(5) = 1560/(5·5 +13)² = 1560/1444 ≈ 1.080 . . . ft/s²

At t=10, the acceleration is ...

  a(10) = 1560/(5·10 +13)² = 1560/3969 ≈ 0.393 . . . ft/s²

At t=20, the acceleration is ...

  a(20) = 1560/(5·20 +13)² = 1560/12729 ≈ 0.122 . . . ft/s²

_____

Additional comment

Many graphing calculators are capable of finding the numerical value of the derivative of a function.

[tex]J'= (-5,-6)[/tex]

[tex]K'=(-5,-1)[/tex]

[tex]L'=(-10,-2)[/tex]

See graph below.

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]good[/tex] [tex]day![/tex] [tex]:)[/tex]

your answer would be 254 I just did it and I got it right ✨

Answer:

-1

Step-by-step explanation:

We know that,

[tex] \rightarrow \: z = \frac{x - \mu}{\sigma} \\ [/tex]

inserting the given values in the formula

[tex]\rightarrow \: z = \frac{27.87 - 30}{1.9} \\\rightarrow \: z = - 1.121[/tex]

Area that's left to z = -1.121

Area that's left to -1.121 = 0.1311

= 13.11%

Hence ,

13.11% of the watermelons weigh less than 27.87 pounds

To find the number of watermelons,

We'll find 13.11% of 400

= 13.11% x 400

= 13.11/100 x 400

= 52.44

hence , approx 52 watermelons would be lesser than 27.87 pounds

Answer:A

Step-by-step explanation: im right im a god at answering these kind of equations.

Answer:

Step-by-step explanation:

Answer:

function

Step-by-step explanation:

For every value of 'x' ....there is only ONE value of 'y'

  so it IS a function

Answer:

D. An angle measuring 285 degrees

Step-by-step explanation:

An angle that is coterminal is congruent to the other angle whether negative or positive or more than 360.

An angle that is 645 degrees can be broken down into 360 + 285.

Since 360 is one revolution the angle would finish with 285 degrees.

Therefore the coterminal angle to 645 is 285.

Answer:

13.5

Step-by-step explanation:

If he runs five times a week and his route is 2 7/10 then you do 5x2 7/10

The equation of the perpendicular line drawn by Leo is [tex]y-G=\dfrac{-1}{2}(x-F)[/tex]. Option C is the correct answer.

The equation of the line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line and [tex](x_1,y_1)[/tex] is the point through which it is passing.

How to determine the equation of a line?

A line is drawn perpendicular to the line shown in the image. The perpendicular line passes through the coordinate point [tex](F,G)[/tex].

The slope of the line from the graph is-

[tex]m=\dfrac{y-intercept}{x-intercept}\\=2[/tex]

Therefore, the slope of the perpendicular line is [tex]\dfrac{-1}{2}[/tex].

Also, it is being given that Leo's line is passing through the coordinate point [tex](F,G)[/tex].

So, the equation of the Leo's line is-

[tex]y-G=\dfrac{-1}{2}(x-F)[/tex]

Thus, the equation of the perpendicular line drawn by Leo is [tex]y-G=\dfrac{-1}{2}(x-F)[/tex].

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Random Reply:

Indeed, so they have.