A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 2 feet. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the zucchini section?

Answers

Answer 1

Base on the total area of the square garden and the number of plants planted on it, the area of the zucchini section is 15 feet²

How to find area of zucchini section?

Side Length of the square garden = 8 feet

Area of the garden = side length ²

= 8 feet × 8 feet

= 64 feet²

Flower portion:

Side Length = 2 feet

Area of flower portion = side length ²

= 2 feet × 2 feet

= 4 feet²

Remaining space = Area of the garden - Area of flower portion

= 64 feet² - 4 feet²

= 60 feet²

Remaining space is divided into 4 equal sections

= 60 feet² / 4

= 15 feet²

Therefore,

Tomatoes section = 15 feet²

Onions section = 15 feet²

Zucchini section = 15 feet²

Pepper section = 15 feet²

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Related Questions

Which of the following describes the function shown in the table below? x y -4 16 -1 2 2 0.25 4 0.0625 5 0.03125 exponential, there is a continual rate of growth exponential, there is a continual rate of decay or decrease quadratic, there is a second degree change in the y-values quadratic, there is a constant difference between consecutive y-values

Answers

A statement which best describes the function shown in the table is: B. exponential, there is a continual rate of decay or decrease.

What is an exponential function?

An exponential function is a mathematical function whose numerical values (numerals) are generated by a constant that is raised to the power of an argument.

Given the following table:

X : -4 -1 2 4 5

Y : 16 2 0.25 0.0625 0.03125

Next, we would calculate the rate of decay for the y-values:

16/2 = 2/0.25 = 0.25/0.0625 = 0.0625/0.03125 = 8

Rule: The y-values constantly decreases by 1/4 or 0.25 of the previous number.

In conclusion, we can logically deduce that the function shown in the table is exponential, there is a continual rate of decay or decrease.

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Answer: It's B

Step-by-step explanation:

I got it right

what is its first derivative

Answers

Answer:

2ax + b + C

where C is a constant.

Can someone explain me this please

Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiences

uhm i don't understand wut to put below the formula please make it clear thank you alot

Answers

Answer:

The force of gravity experienced by the shuttle would be 1.6675×10^N

Calculate the discriminant to determine the number of real roots of the equation.

y = x2 + 3x + 9

one real root
no real roots
three real roots
two real roots

Answers

find D which is the discriminant and with D < 0.

therefore the equation has an imaginary root and not a real root.

Factor out the GCF from the given polynomial.
14x-2

Answers

The answer is 1 is it helpful?

Answer:

2(7x-1)

Step-by-step explanation:

14 & 2 gcf 2 factor and wal lah!

Please help! I don’t think my answers are correct. Photo is attached.

Answers

Answer:

Step-by-step explanation:

(a). In set notation:

B. { x | x < 2 }

(b).

( - ∞ , 2 )

(c). See attachment.

A bowl contains 28 black, 21 red, 23 blue, and 10 green balls
A ball is drawn at random. P (blue).

Answers

Answer:

P (blue) = 23 / 82

Step-by-step explanation:

There are 23 blue out of 82 (28 + 21 + 23 + 10 = 82) balls

or,

23 / 82

So, the probability of a blue ball being chosen is 23/82

(or a 28% chance [rounded])

Explain a time in your life you underwent metamorphosis

Answers

Answer: Maybe when you Grew from a Baby to a toddler because that would be you growing over time

Step-by-step explanation:

I Hope This Helps!

Suppose a nuclear power plant disaster occurs. How could GDP be a "false beacon" in this case?

Answers

If there was a nuclear plant disaster, then GDP would be a false beacon because it would account for government spending but not for the pollution caused.

Why would GDP be a false beacon?

Two of the components of GDP are government spending and private investment.

If there is a nuclear plant disaster, either the government will spend a lot to clean it up, or a private company will depending on if the plant is public or private.

GDP would therefore increase.

This would be a false beacon however, because this increase would not take into account the nuclear pollution that would have occurred that would negatively impact future production.

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A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients.

Answers

Answer:

33,75 clients(huh?)

Step-by-step explanation:

75 / 100 = 0,75(1% of all clients)

0,75 * 45 = 33,75(number of business clients)

3375 is not the number of clients the other guy who answered is lying

Solve the following radical equation.
√2x-3 =2

Answers

Answer:

First, we have to add 3 to both sides.
[tex]\sqrt{2x} - 3 + 3 = 2 + 3[/tex]

Then we simplify the equation,
[tex]\sqrt{2x} = 5[/tex]

Divide both sides of the equation by [tex]\sqrt{2}[/tex]
[tex]\frac{\sqrt{2x} }{\sqrt{2}} = \frac{5}{\sqrt{2}}[/tex]

Finally, simplify.
[tex]x = \frac{5\sqrt{2}}{2}[/tex]

Therefore, our answer is [tex]x = \frac{5\sqrt{2}}{2}[/tex]

3.5

Step-by-step explanation:

square means 1/2.so,1/2(2x-3)=(2)^2

then square cancel by square. 2x-3=4

2x=4+3, 2x=7then divided by 2.

x=3,5

Which represents the solution(s) of this system of equations?

(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)

Answers

The solution to the given system of equation is (4, 4)

Factorizing quadratic functions

From the solved steps, the final quadratic functions is given as;

x^2 - 8x + 16 = 0

Factorize to have;

x^2 - 4x - 4x + 16 = 0

x(x-4)-4(x-4) = 0
(x-4)(x-4) = 0

x = 4 and 4

Hence the solution to the given system of equation is (4, 4)

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vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months
how do I solve this and do I have enough information to answer the question and what step would take to solve the problem and how do I calculate the results

Answers

The calculation of the interest based on the price given shows that vehicle B has a lower interest.

How to calculate the price?

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

= (25000 × 5 × 5)/100

= $6250

Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:

= (29000 × 4 × 5)/100

= $5800

Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.

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AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC

Answers

Answer:

60°

Step-by-step explanation:

Arc BC and Angle BWC are the same number of degrees.

When the vertex of an angle is at the center of a circle, its called a Central Angle. A central angle and the arc it "cuts off" have the same number of degrees.

Angle AWB and Angle BWC lay together on a straight line, so they add up to 180°.

180° - 120° is 60°

Angle BWC is 60° so Arc BC is 60°

Gerald has a punch bowl in the shape of a hemisphere as shown below.

One cup is equivalent to approximately 15 cubic inches. Which of the following is closest to the maximum number of cups the punch bowl can hold?

A. 60 cups
B. 45 cups
C. 30 cups
D. 18 cups

Answers

The closest to the maximum number of cups the punch bowl can hold is 30

How to determine the number of cups?

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

[tex]V = \frac{2}{3}\pi r^3[/tex]

This gives

[tex]V = \frac{2}{3}\pi * 6^3[/tex]

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

Answers

Answer:

Adults = 448

Students = 888

Step-by-step explanation:

Write equations with info given

A = Adult tickets

S = Student tickets

5A+1S=3,128

A+S=1336

Subtract equations from each other

4A=1792

Solve for A

A=448

Plug A into second equitation

448+S=1336

Solve for S

S=888

y-intercept: 4
-: x-intercepts: -2, 5, 7
-: Relative maximum at (0,4)
-: Relative maximum at (6, -3)
-: As → −∞, → −∞
-: As → ∞, →

Answers

The attached figure represents the sketch of the graph

The missing part of the question

The complete question requires that we sketch the graph that follows the given parameters

How to sketch the graph?

The given parameters are:

y-intercept: 4x-intercepts: -2, 5, 7Relative maximum at (0,4)Relative maximum at (6, -3)As x → −∞, y → −∞As x → ∞, y → ∞

To start with, we plot the points on an empty coordinate plane.

Next, we connect the points using a rough curve

Lastly, the points are labelled

See attachment for the sketch of the graph

Answers

The figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only

How to determine the figures?

The cross-section of three-dimensional figures are as a result of slicing the figure along its axis.

When the cube is sliced with its plane, it gives a triangle faceWhen a cone is sliced vertically, it gives a triangle faceOne of the faces of a square pyramid is a triangle; so it has a triangle face

Hence, the figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only

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Evaluate the expression.

Answers

18 is the answer to this question

What is the probability of drawing an ace, a 2, and a 3, without replacement?

Answers

The probability of drawing an ace will be 8 / 16575.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

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Carlos invests $4540 at a rate of r% per year compound interest.
At the end of 10 years he has earned $1328.54 in interest.
Calculate the value of r.

Answers

Answer:

Initial balance$1000

interest rate 8%

Term 20yrs

Step-by-step explanation:

The final balance is $4,926.8.The total compound interest is $3,926.8.

The value of r is 2 %.

What is simple & compound interest?

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given:

Principal(P)= $4540

Rate = ?

Time=10 years

CI=$1328.54

We have to find the value of r.

According to given question we have

By the use of compound interest we have

[tex]CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\[/tex]

After simplifying we get,

r=2 %

Therefore, the value of r is 2 %.

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Find the measure of the remote exterior angle. m/x (198-5n)
m2y = (5n+37)
m²z = (n+7)

Answers

The measure of the remote exterior angle is 128°.

How to calculate the angle?

From the information given, x = y + z. Therefore, .(198 - 5n) = (5n + 37( + (n + 7)

198 - 5n = 6n + 44

Collect like terms

154 = 6n + 5n

154 = 11n

n = 154/11

n = 14

The value of angle x will be:

= 198 - 5n

= 198 - 5(14)

= 198 - 70

= 128

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Maxwell wants to know how much space his globe occupies. Should he find its surface area or volume? Explain your answer

Answers

Since, Maxwell wants to know how much space his globes occupies he has to find its volume.

What is a volume?

Volume is the amount of space an object or substance occupies.

Every three dimensional object occupies a space.

Volume is measured in cubic units.

Therefore, the three dimensional object that has a width, length and height will have its volume as follows;

volume = lwh

where

l = lengthw = widthh = height

Therefore, the space occupied by the globe is the volume of the globe.

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The height of Canadian women was distributed normally with a mean of 161 cm
and a standard deviation of 6 cm. Determine the likelihood that a Canadian woman chosen
randomly will have a height that is between 158 cm and 163 cm.
Includes a sketch of the region under the curve below.
2014
b) The probability that a Canadian woman's height will be larger than x cm is 1%.
Determine x, to the nearest centimeter.

Answers

The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters

The probability of having a height that is between 158 cm and 163 cm

The given parameters are:

Mean = 161Standard deviation = 6

Calculate the z-scores at x = 158 and x = 163 using:

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

So, we have:

[tex]z = \frac{158 - 161}{6} = -0.5[/tex]

[tex]z = \frac{163 - 161}{6} = 0.33[/tex]

The probability is then represented as:

P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)

Using the z table, we have:

P(158 ≤ x ≤ 161) = 0.69011

Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011

The value of x in the probability

The probability is represented as:

P(X ≥ x) = 1%

Express as decimal

P(X ≥ x) = 0.10

The z-score at p = 0.10 is:

z = 1.282

Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]

Make x the subject

[tex]x = 1.282\sigma + \mu[/tex]

Substitute values for standard deviation and mean

x = 1.282 * 6 + 161

Evaluate

x = 168.692

Approximate

x = 169

Hence, the value of x is 169 centimeters

Answers

The distributive law is satisfied if the numbers 1,2, and 3 are used as multyplying factors.

What is the distributive law?

This is basic mathematical law that states:

A multiplied by (b+c) equals (a x b) + (a x c)

Is this law satisfied if there are three numbers involved?

The law is always satisfied if one of the numbers is 1. Here is an example

2 x (1+2+3) = 2 x 6 = 12

(2x1) + (2x2) + (2x3)2+4+6 = 12

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Using the GCF factor the given expression: 21xy + 14y

7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP

Answers

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

Greatest common factor of an expression

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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Factor out

21xy=3×7×y×x14y=2×7×y

7y is common hence 7y is GCF

Now factor up

7y(3x+2)

Option B

x² + 10x + 3 = -21?!?!!?!?!!!?

Answers

Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

find the slope of the lined graph

Answers

Answer:

Step-by-step explanation:

The points go rise:1 up:1 so the slope is 1.

Answer:

hey!! we can taIk here

Step-by-step explanation:

A petri dish contains cells of a certain strain of bacteria. Each bacterial cell in the dish divides in half approximately every 6 minutes. The curve of best fit that models the number of bacterial cells in the dish is given by the equation f(x) = 4.2 • 1.1x, where x represents the number of minutes and y represents the number of cells. Approximately how many bacterial cells will be in the petri dish after 30 minutes?

Answers

The amount of bacteria cells that would be in the petri dish after 30 minutes is 73.3

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of cells after x minutes, hence:

y = 4.2(1.1)ˣ

After 30 minutes:

y = 4.2(1.1)³⁰ = 73.3

The amount of bacteria cells that would be in the petri dish after 30 minutes is 73.3

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The graph below represents the distance of a dog from a trainer after a command is given.

The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.

Answers

The dog was running toward the trainer to receive a treat the correct answer is option B.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.

Therefore the dog was running toward the trainer to receive a treat the correct answer is option B.

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