The maximum grain yield for corn is achieved by planting at a density of 37,000 plants per
acre. A farmer wants to maximize the yield for the field represented on the coordinate grid.
Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest
thousand, does the farmer need? (Hint: 1 acre = 43,560 ft?)
у
5001
E
F
F
х
lo
-500
500
G
-500
H
The farmer needs approximately
corn plants.

Answer:

4

Step-by-step explanation:

The value of t  at a height of 11 feet is 0.36 sec when the ball is going upwards and 1.39 seconds when the ball is coming downwards.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

Given that the height of the ball at time t is given by the function,

[tex]h(t) = 3+ 28t -16t^2[/tex]

where t is in seconds and h is in feet.

Now, the height of the ball is given to be 11 feet, therefore, substituting the value of h in the function as 11,

[tex]h(t) = 3+ 28t -16t^2\\\\11 = 3+ 28t -16t^2\\\\-16t^2 + 28t +3 -11 = 0\\\\-16t^2 + 28t -8 = 0[/tex]

Now, solving the given quadratic equation, we will get,

[tex]x= \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-(28)\pm \sqrt{(28)^2-4(-16)(-8)}}{2(-16)}\\\\t= 0.36\ or\ 1.39[/tex]

Hence, the value of t  at a height of 11 feet is 0.36 sec when the ball is going upwards and 1.39 seconds when the ball is coming downwards.

Learn more about Quadratic Equations:

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Answer: $573.50

Step-by-step explanation:

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\\\ \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]12^3~~ = ~~x^4 y^3 z^6\implies \log_{12}(x^4 y^3 z^6)=3 \\\\\\ \log_{12}(x^4)~~ + ~~\log_{12}(y^3)~~ + ~~\log_{12}(z^6)~~ = ~~3 \\\\\\ 4\log_{12}(x)~~ + ~~3\log_{12}(y)~~ + ~~6\log_{12}(z)~~ = ~~3[/tex]

Answer:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate.

Also, what are unit rates? A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

Answer:

C= 34.56 cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C= πd = π·11 ≈ 34.55752cm

Answer:

-7.33

Step-by-step explanation:

Answer:

-7.333

Step-by-step explanation:

To solve this you have to use B O D M A S theorem and we have to solve the given expression according to the theorem.

That is,

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Let us solve it now.

[tex]\frac{6}{3} (13-18)+2^{4}[/tex] ÷ [tex]6[/tex]

2 ( -5) + 16÷ 6

-10 + 2.667

-7.333

Answer:

The solution would be h=-4

Step-by-step explanation:

By distributing, we are able to find this answer.

Answer:

She received $5 back

Step-by-step explanation:

Answer:

170

Step-by-step

Add 5 27 times count by 5s and you will get the answer.

Answer:

diameter-- last picture on right side

radius-second last picture on right side

πd=2πr

2r=d/2

Step-by-step explanation:

diameter is a line segment that goes through the center of a circle

this will match to the last image on the right side

radius is half of the diameter or from a point on the outer edge of the circle to the center

this will match to the second one on the right side

πd-- d=2*radius

2πr

2r=d/2

because radius is half of the diameter

Answer:

B. F(0) = 4

Step-by-step explanation:

Im unsure about the C tho.

Answer:

100 minutes

Step-by-step explanation:

subtract 14h10 from 15h00

this will equal 50

then add the remaining 50minutes from 15h00

The question is an illustration of conditional probability, and the value of the conditional probability P(A|B) is 0.38

The question is incomplete, as the required parameters are not given.

So, I will give a general explanation.

The question is an illustration of conditional probability

The conditional probability is used to determine the probability of an event, given that another independent event has already occurred.

The conditional probability is calculated using:

P(A|B) = n(A and B)/n(B)

Assume the following parameters

n(A and B) = 9

n(B) = 24

The equation to calculate the probability expression is represented as:

P(A|B) = n(A and B)/n(B)

Substitute the assumed values

P(A|B) = 9/24

Evaluate the expression

P(A|B) = 0.38

Hence, the value of the conditional probability P(A|B) is 0.38

Read more about probability at:

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La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125°   (1)

∠BOC + ∠COD = 100°  (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°. [tex]\blacksquare[/tex]

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD     (3)

∠AOB + ∠BOC - ∠COD = 40°     (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. [tex]\blacksquare[/tex]

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/21209282

5 5/6

5 x 1 1/6 = 5 5/6

Answer:

The answer is 5 5/6. Hope this helps!

Answer:

[C] 75/100

Step-by-step explanation:

0.75 as a fraction is 75/100.

Steps:

0.75 over 1

0.75/1

Multiply both the numerator and denominator by 100

75/100

Hence, the answer is [C] 75/100

[RevyBreeze]

Answer:

[C] 75/100

Step-by-step explanation:

Given:

What is 0.75 written as a fraction?

Solution:

0.75 = Decimal

Rewriting the decimal number as a fraction with 1 in the denominator

[tex]0.75=\frac{0.75}1[/tex]

Now, multiply to remove the 2 decimal places. So, you multiply top and bottom by 10²  = 100

10²  is the same thing as 100 because 10²  = 10 × 10 and 10 × 10 = 100

[tex]\frac{0.75}{1}\times\frac{100}{100}=\frac{75}{100}[/tex]

Thus, the answer is [C] 75/100

Kavinsky

Hi!

Your answer is 8  1-quart containers.

There are 4 quarts in a gallon.

If there is a 2-gallon bucket, and she needs to fill it using 1-quart containers, we simply multiply the number of quarts in a gallon (4) by the number of gallons total (2).

2 x 4 = 8

Answer:

y = -4/5x-34/5

Step-by-step explanation:

1. Put into slope-intercept form: 5x-4y = 10 ⇒ 4y = 5x-10 ⇒ y = 5/4x - 5/2

2. A perpendicular slope is the negative reciprocal of the original slope. ⇒ m = -4/5

3. Make a general solution using the new slope: y = -4/5x + b

4. Plug in the point (-1,-6) and solve for b: -6 = -4/5(-1) + b ⇒ -6-(4/5) = b ⇒    

b = -34/5

5. Put b in the general solution to find the particular solution: y = -4/5x-34/5

Answer:

(D)

Step-by-step explanation:

[tex]\frac{5(2x-3) -3(x+4)}{9}[/tex] = [tex]\frac{10x-15-3x-12}{9}[/tex] = [tex]\frac{7x-27}{9}[/tex]

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

How I got that answer:

The interval 0 < t < 30 has the midpoint of 15 since (0+30)/2 = 15

The interval 30 < t < 60 has the midpoint 45 because (30+60)/2 = 45

We add up the endpoints and then divide by 2 to get the midpoint.

Repeat this for each of the intervals mentioned.

From top to bottom, the midpoints are:

Notice we add 30 to each midpoint to get the next one. This is directly due to the fact that each interval is 30 units wide (eg: 90-60 = 30).

Multiply each midpoint by the corresponding frequency for a given row.

Then add up those products.

105+1215+900+420 = 2640

Lastly, we divide this over the sum of the frequencies 7+27+12+4 = 50 to get 2640/50 = 52.8

The average time spent on homework is estimated to be about 52.8 minutes

Note that the majority of the the students (27) are in the 30 < t < 60 interval, so the mean of 52.8 fits this interval perfectly. It's closer to the right endpoint of the interval due to the fact the other 12+4 = 16 students are above this, and they make up the second most majority compared to the 27.

The reason why 52.8 is an estimate rather than the actual mean is because we are estimating each interval by picking out the midpoint each time. The midpoint is at the direct center, so it's the best guess we can do.

Answer:

4.9 ft

Step-by-step explanation:

Area of square = side squared

S² = A

Sub in 24 for A, then take square root of each side to find S.

S² = 24

S = sqrt (24)

= sqrt (4×6) - factorize

= 2(sqrt (6)) ft

≈ 4.9 ft

Answer: A≈50.27m²

The area of a circle with a radius o 4 meters is A≈50.27m²  

Step-by-step explanation:

☆Explanation:

¤ We that area of a Rectangle = length × breadth

¤ Here, it is said to find the area of the given figure.

Now,

Area of first Rectangle = length × breadth

= 9 cm × 4 cm

= 36 cm²

Again,

Area of the second Rectangle = length × breadth

= 14 - 4 × 5

= 10 × 5

= 50 cm²

Finally,

Area of the figure = Area of first Rectangle + Area of second Rectangle.

= 36 cm² + 50 cm²

= 86 cm²

Answer:g(x) = f(x) + 1.5

Step-by-step explanation: The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Answer:

option 1 is correct  

Answer:

Step-by-step explanation:

The motion of a certain mass in a spring is described by:

Answer:

$26

Step-by-step explanation:

4 times a week, $15 a day

It means that he have to pay $60 a week for travelling

$60-$34 = $26

By buying the pass I can save $26 a week

Answer:26 DOLLARS saved

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

I just did it with my friend.