Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet store titled "Turtle Tank Rule."

Tank walls must be at least 1 foot tall so the turtle can't climb out.

There must be at least 400 square inches of floor space for the turtle to walk around on.

Your teacher says the volume of the tank must be smaller than 5000 cubic inches so it doesn't take up too much room in the classroom.

Give the dimensions of a tank that would work for your new turtle. Use words and numbers to explain how your tank satisfies the "Turtle Tank Rules" and your teacher requirements.

Volume of a rectangular prism= length X width X height

Answers

Answer 1

The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.

We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.

Answer 2

Final answer:

To satisfy the 'Turtle Tank Rules' and your teacher's requirements, the tank dimensions must meet certain criteria. You can use the formula for the volume of a rectangular prism to find the dimensions.

Explanation:

To satisfy the 'Turtle Tank Rules' and your teacher's requirements, the tank dimensions must meet the following criteria:

The tank walls must be at least 1 foot tall.The tank floor must have a minimum of 400 square inches of space.The volume of the tank must be smaller than 5000 cubic inches.

Let's assume the tank has length, width, and height as its dimensions. By using the formula for the volume of a rectangular prism (Volume = length * width * height), we can manipulate it to find the dimensions:

Choose a reasonable value for the height (for example, 6 inches).Calculate the area of the tank floor by dividing 400 square inches by the chosen height.Find the length and width that multiply to give this area while satisfying the volume requirement of less than 5000 cubic inches.

Related Questions

Let P(2, 3) be a point on a figure. The figure is dilated by a scale factor of 4.

What are the coordinates of P′?

Write the ordered pair.

Answers

Hi there!

If (2,3) is a point and 4 is the scale factor, we need to multiply both x and y by 4 to dilate the figure. Doing this gives us (8,12).

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

hey can you please help me posted picture of question

Answers

The inverse functions have a property that the composition of two inverse functions always results is x.

From the given options, only the pair given in option B result in the composition equal to x.

[tex]F(x)= \frac{12}{x}-18 \\ \\ G(x)= \frac{12}{x+18} \\ \\ F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\ \\ F(G(x))= \frac{12(x+18)}{12}-18 \\ \\ F(G(x))=x+18-18=x [/tex]

This proves, F(x) and G(x) are inverse of each other.

So the answer to this question is Option B

You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what is your yield pet acre, rounded to the nearest bushel per acre

Answers

The yield per acre will be given by:
[total amount of bushels sold]/[area of the field]
Total amount sold=64100+8120=72220
area=488 acres
thus
72220/488
=147.992~148 bushels per acre

Answer:

There will be approx 148 bushels in per acre.

Step-by-step explanation:

You planted 488 acres of corn last season.

you sold all your corn: 8,120 bushels in August and 64,100 bushels in September.

Total bushels = [tex]8120+64100=72220[/tex]

Now, this amount of bushels were in 488 acres of land.

So, per acre will contain = [tex]72220/488=147.99[/tex]≈ 148 bushels

Hence, there will be approx 148 bushels in per acre.

the equation d=1/2n (n-3) gives the number of diagonals D for polygon with n sides. use this equation to find the number of sides n for a polygon that has 65 diagonals

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that:

- The equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.

- The polygon that has 65 diagonals..

2. When you clear n, you obtain:

d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0

3. When you solve the quadratic equation, you obtain:

n=13

Therefore, the answer is: 13 sides.

Answer: 13

Step-by-step explanation:

Given : The equation [tex]d=\dfrac{1}{2}n(n-3)[/tex] gives the number of diagonals d for polygon with n sides.

To find the number of sides n for a polygon that has 65 diagonals, we substitute the value of d= 65 in the given equation, we get

[tex]65=\dfrac{1}{2}n(n-3)[/tex]

Multiply 2 on both sides , we get

[tex]n(n-3)=130\\\\\Rightarrow\ n^2-3n-130=0\\\\\Rightarrow\ n^2-13n+10n-130=0\\\\\Rightarrow\ n(n-13)+10(n-13)=0\\\\\Rightarrow\ (n-13)(n+10)=0\\\\\Rightarrow\ n= -10\ or\ n= 13[/tex]

But number of sides cannot be negative, so the number of sides n for a polygon that has 65 diagonals = 13

Explain what is a Fungi?

Answers

A single-cellular living organism.

A fungi is any member of the group of eukaryotic organisms that includes microorganisms such as yeasts and molds, as well as the more familiar mushrooms.

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 684 milliliters of the drug, how many milliliters of compound A are needed?

Answers

There are 5 milliliters of compound A for every 7 milliliters of compound B.

So the ration between compound A and B will be:

A:B = 5:7

Total amount of drug = 684

Therefore, the amount of drug A needed will be:

[tex] \frac{5}{5+7}*684 \\ \\ = \frac{5}{12}*684 \\ \\ =285[/tex]

Therefore, out of 684 milliliters 285 would be the compound A and the rest would be compound B

A/B = 5/7

Where 5 mm of A per 7mm of B. That should be the equation.

Given that the total mm is 684
A + B = 684
A = 5/7 * B

5/7 B + B = 684
B=400
A = 5/7 * 400 = 285mm

A = 285mm

Find a function that models the population after t years

Answers

a) You have:

[tex]f(0) = 270000\\
f(1) = 1.04f(0), \\
f(2) = 1.04f(1) = 1.04(1.04f(0)), \\
f(t) = 1.04f(t-1) = 1.04(1.04f(t-2)) ... = 1.04^{t}f(0) = 1.04^{t}*270000 [/tex]

b) [tex]f(2004-1998) = 1.04^{2004-1998} * 270000 = 341636[/tex]

c)
[tex]1.04^{x-1998} * 270000 \geq 534094 \\ x - 1998 \geq {ln( \frac{534094}{270000} )}/{ln(1.04)} x \geq 2015.4 x = 2016[/tex]

If g(x)= 2x^4+3x^3-x^2, find g(-1)

Answers

When you have a function of g(-1) you first plug in -1 to all x's then you solve it.

Answer: x=0

A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which of them will win the race?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9994969

The blades on a wind turbine trace a circular path with radius 100 feet. Suppose the turbine spins at 20 revolutions per minute. What is the linear velocity, in miles per hour (1 mile equals 5,280 feet), of a point on the tip of a blade? Round the answer to the nearest tenth.

Answers

Radius = r = 100 feet
Angular velocity = w= 20 revolutions per minute = 20 x 2π radians per minute
Angular velocity = w = 40π radians per minute

Linear velocity = v = r w

So,

Linear velocity = v = 100 x 40π = 4000π feet per minute
v = 4000π x 60/5280 miles per hour
v = 142.8 miles per hour

Thus the Linear Velocity of the turbine will be 142.8 miles per hour

Final answer:

The linear velocity of a point on the tip of a blade on a wind turbine is approximately 0.05 miles per hour.

Explanation:

To find the linear velocity of a point on the tip of a blade on a wind turbine, we need to convert the rotational speed to linear speed. The formula to do this is linear speed = radius × angular speed. In this case, the radius is 100 feet and the turbine spins at 20 revolutions per minute. First, we convert the revolutions per minute to radians per second by multiplying by 2π/60. Then, we multiply the angular speed by the radius to find the linear speed.

Angular speed = 20 revolutions per minute × 2π/60 = 20π/60 = π/3 radians per second

Linear velocity = 100 feet × π/3 = 100π/3 feet per second

Finally, to convert the linear velocity to miles per hour, we divide by 5280 (since 1 mile equals 5280 feet).

Linear velocity = (100π/3) / 5280 ≈ 0.05 miles per hour

Learn more about Linear velocity here:

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In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.

Answers

area=median*height=20cm*15cm
=300cm^2

Answer:

300

Step-by-step explanation:

you have a bottle of water with a leak. after 2 second,there are 28 ounces left in the bottle. after 6 seconds, there are 20 ounces left in the bottle. how fast is the bottle losing water

Answers

In the 6 - 2 = 4 seconds for which we have a report, the bottle lost 28 -20 = 8 ounces.

The bottle is losing water at the rate of (8 oz)/(4 s) = 2 oz/s.

Answer:

rate of losing water = 8 ounce per 4 sec or 2 ounces per sec.

Step-by-step explanation:

Given : after 2 second,there are 28 ounces left in the bottle. after 6 seconds, there are 20 ounces left in the bottle.

To find : how fast is the bottle losing water.

Solution : WE have given that

After 2 second water left in bottle = 28 ounces.

After 6 second water left in bottle = 20 ounces.

We can see with in ( 6 - 2) ,4 second bottle lose their 8 ounce water.

Therefore, rate of losing water = 8 ounce per 4 sec or 2 ounces per sec.

Write parametric equations of the line 2x-y=3

Answers

In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,

f(x) = y = ax + b

where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,

f(x) = y = 2x - 3

Answer: The required parametric equation is y=2t-3.

Step-by-step explanation:

Since we have given that

2x+-y=3

We need to rewrite in parametric equation:

The parametric equation is written as

[tex]f(x)=y=at+b[/tex]

So, Arranging the given equation in the above equation, we get

[tex]2x-y=3\\\\2x-3=y\\\\f(x)=y=2x-3[/tex]

And then put x = t, to get the exact parametric form.

Hence, the required parametric equation is y=2t-3.

A shop sells 200 chocolate vanilla and strawberry ice creams 45% of the ice cream sold are vanilla and 30% are strawberry how many chocolate ice creams are sold

Answers

Ice creams:
(1) Chocolate
(2) Vanilla
(3) Strawberry

There are three types of flavors.

45% of the ice creams are vanilla
30% of the ice creams are strawberry
x percent of the ice creams are chocolate

The total amount of ice creams is 200 that corresponds to 100%. Therefore:

45% + 30% + x = 100%

Solving for x:
x = 25%

Then the number of chocolate ice creams are:

[tex]25\%(200) = 50 [/tex]

Finally:
50 chocolate ice creams are sold

Final answer:

The answer explains how to calculate the number of chocolate ice creams sold in a situation where vanilla and strawberry ice creams are already accounted for.

Explanation:

The total number of ice creams sold is 200.

45% are vanilla ice creams. 45% of 200 is 90.

30% are strawberry ice creams. 30% of 200 is 60.

To find the number of chocolate ice creams sold:

Chocolate ice creams = Total ice creams - (Vanilla ice creams + Strawberry ice creams)

Chocolate ice creams = 200 - (90 + 60)

Chocolate ice creams = 200 - 150 = 50

Therefore, 50 chocolate ice creams are sold.

Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 576 cubic inches, find the original dimensions of the sheet of cardboard.

Answers

Here this may help, it gives the answer too

Anwar says that the shape below is a parallelogram. is he correct that a kite is a parallelogram explain

Answers

Short answer: No afraid not.

Opposite sides of a parallelogram must be equal and parallel. The opposite sides of a kit are neither. To make sure you understand, measure the upper left side and the lower right side. The upper left is shorter than the lower right (even though these sides are opposite one another).

It you extend the upper left line upward and do the same thing to the lower right, you will get two lines that meet. No parallelogram will do that.

GETS BRAINLIEST AND 11 PTS

Hazel covered a box with felt. The dimensions of the box are shown in the figure below: A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 6 inches, and the width is labeled as 8 inches. The felt costs 9¢ per square inch. She will only pay for the felt used to cover the box, even if there is waste or extra. How much money did Hazel spend on the felt? $18.18 $27.72 $36.36 $45.54

Answers

i think the answer to this question is (C) $36.36.

Hello,

The surface area of a rectangular prism is:
A=2(xy+xz+yz), where x,y, and z are the dimenisions
We are told that she will spend .09 per in^2, x=11, y=6, and z=8 so we can say cost is:
C=2(9/100)(11*6+11*8+6*8)
C=(18/100)(66+88+48)
C=$36.36

Calculate the slope of a line that intersects points (6,2) and (-4,-3).

A. 1/2
B. 2/3
C. 4/5
D. 7/8

Answers

Difference in y: -3 - 2 = -5
Difference in x: -4 - 6 = -10

slope = (difference in y)/(difference in x)

slope = (-5)/(-10) = 5/10 = 1/2

Answer: A. 1/2

The slope of the line passing through the points (6,2) and (-4,-3) is calculated using the slope formula (y2 - y1) / (x2 - x1), resulting in a slope of 1/2.

To calculate the slope of a line that intersects points (6,2) and (-4,-3), we use the slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). Here, we consider point 1 to be (6,2) and point 2 to be (-4,-3).

Using the formula:

y2 = -3y1 = 2x2 = -4x1 = 6

Substituting the values into the formula gives us the following calculation:

Slope = (-3 - 2) / (-4 - 6)

Slope = (-5) / (-10)

Slope = 1/2

Therefore, the correct answer is A. 1/2.

Which of the following is equivalent to -6
A) 9-(-17)
B) 3*(-2)*(-1)
C) -2(4-1)
D) 4-16/-2

Answers

C.
-2(4-1)
Distributing: (-8 +2) = -6

C
-2(4-1) put in a calculator that’s your answer

Chris Shopper received a $1,000 discount loan to purchase a washer and dryer. The loan was offered at 12% for 120 days. What are the proceeds? $40.00 $144.00 $960.00 $1,440.00

Answers

The loan proceeds will be given as follows:
A=P(1+r/100)^n
Plugging the values we obtain
n=4 months=
A=1000(1+12/3*100)^1
A=$1040
hence the proceeds will be:
1040-1000=$40

Answer:

The correct answer is 960.

Step-by-step explanation:

120/360=0.333

Remember to use 360 because a bank year is 360 days.

Then you use the interest formula:

I= P×R×T

I=1000×0.12×0.333

39.99=I

Now take 1000 because your principal is 1000, and subtract that from 1000

1000-39.99=960

Use the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth. 5x2 + 16x – 84 = 0

Answers

Hello!!

x + 6 = 0 or 5x - 14 = 0

x = -6 or 5x - 14 = 0

x = -6 or 5x = 14

Therefore, x = -6 or x = 14/5 (Two solutions found)

Good luck :)

in the linear equation, y = 7x - 15, the y- intercept of the line is

Answers

y-intercept: (0,-15)

The y-intercept in that equation is (0,-15). In slope-intercept form, the y-intercept is represented by the final number in the equation.

In a class of 147 students, 95 are taking math(m), 75 are taking science (s), 52 are taking both math and science. What is the probability of randomly choosing a student who is taking neither math nor science? Round your answer to the nearest tenth

Answers

Subtract 52 from m, s, and the total amount of students.. 52 is the amount of students that would take both math and science. m now equals 43, s now equals 23, and the total students remaining is 95.

Since the criteria wants you to exclude students that take math or science, add m and s together.

[tex]43 + 23 = 66[/tex]

This is the total amount of students that take math or science.

To find the probability of picking a student that doesn't take math or science, subtract 66 from the total amount of students.

[tex]95 - 66 = 29[/tex]

Take this amount and divide by the total amount of students again.

[tex] \frac{29}{95} = 0.3052[/tex]

Convert the decimal into a percentage.

[tex]0.3052 = 30.52[/tex] %

There is a 30.52% chance of picking a student that doesn't take math nor science.

Answer:

31/147

Step-by-step explanation:

good luck babes <3

The hyperbola with center at (4, 5), with vertices at (0, 5) and (8, 5), with b = 2.

Answers

The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4

Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1

Answer:

Step-by-step explanation:

The correct answer is (x-4)^2/16 - (y-5)^2/4 = 1

5y^2 - 2y - 7 are (5y - 7) and ( )

Answers

You have the following expression given in the problem above, which is a quadratic equation:

5y^2 - 2y - 7=0

When you factor the quadratic equation, you obtain the following form of it:
(5y - 7)(y +1)=0

Therefore, as you can see the answer is: (5y - 7)(y +1)=0

plz help ill give u brainlist

Answers

Okay, so the ratio from yellow balls to white balls:
2:3
Let's represent it with n
5n = 50
n = 10
3 * 10 is 30
There are 30 white golf balls.

PLZ HELP NOOOWWWW!!!! 15 points!

A sewing pattern calls for 1/2 meter of red ribbon and 1/5 meter of blue ribbon. What is the unit rate in meters of red ribbon per meter of blue ribbon?

Answers

Hello!

First you have to find how many sections of blue ribbon makes 1 meter

1/5 * 5 = 1

It takes 5 sections of blue ribbon to make one meter of blue ribbon

Multiply this by the sections of red ribbon

1/2 * 5 = 2.5

The answer is 2.5 meters of red ribbon for every meter of blue ribbon

Hope this helps!

Hello!

The unit rate would be 2.5.

Because you take the 2 out of 1/2 and get the unit rate.

Hope this helped. :)

what is the poorest country in the world

Answers

According to the data of December 2017, the most poorest countries in the world are in Africa (Guinea, Somali, Mozambique, Burundi, Malawi, Liberia, Central African Republic, Niger), the most poorest is Central African Republic.
Its economic basically is dependent on diamonds export, the most of the diamonds is soled on the 'black' market, which allow to pass the taxes of government...

Final answer:

The poorest countries in the world are primarily in Africa and Asia, according to the World Bank's 2020 report. These countries struggle with governance issues, economic struggles, conflict, and other socio-economic problems, inhibiting their growth. The Democratic Republic of Congo, despite its wealth in resources, significantly exemplifies this due to political instability.

Explanation:

According to the World Bank rankings, many of the poorest countries globally share common traits such as governance failures, economic struggles, and conflicts. These factors, among others, inhibit economic growth and improvement across sectors such as healthcare, education, and infrastructure.

As detailed in the World Bank's 2020 report, the ten lowest income countries include nations primarily located in Africa and Asia. Due to various socioeconomic issues, these countries have low gross national income (GNI) per capita, with notable examples including Afghanistan, Ethiopia, and Zimbabwe.

Learn more about World's poorest countries here:

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The standard guidelines for fluid intake recommend that a 10dash20-kg child should have 1000 mL of fluid plus 50 mL for each full kilogram of body weight over 10 kg per day. How many 8-ounce glasses of fluid should a 43-pound child have each day? The 43-pound child should drink about nothing 8-ounce glasses of fluid each day.

Answers

Given that the standard guidelines for fluid intake recommend that a 10 - 20 kg child should have 1000 mL of fluid plus 50 mL for each full kilogram of body weight over 10 kg per day.

1 ounce contains 29.57 mL of fluid, thus an 8-ounce glass contains 8(29.57) = 236.56 mL of fluid.

1 pound is equivalent to 0.45 kg, thus, 43 pound is equivalent to 43(0.45) = 19.35 kg

Thus, the standard guidelines for fluid intake recommend for a 43 pounds (19.35 kg) child is given by 1000 + 9(50) = 1000 + 450 = 1450 mL of fluid per day.

Therefore, the number of 8-ounce glasses a 43 pound child should have is given by:

[tex] \frac{1450}{236.56} =6.13\approx6\ glasses[/tex]

NEED HELP ASAP ON GEOMETRY!! ONLY 3 QUESTIONS ATTACHED WITH PHOTOS. THANK YOU

Answers

3. Look at the picture.

Use Pythagorean theorem:

[tex]x^2=3.6^2+5.5^2\\\\x^2=12.96+30.25\\\\x^2=43.21\to x=\sqrt{43.21}\\\\\boxed{x\approx6.6}[/tex]

4.
Use Pythagorean theorem:

[tex]3^2+\left(\dfrac{x}{2}\right)^2=6.5^2\\\\9+\dfrac{x^2}{4}=42.25\ \ \ |-9\\\\\dfrac{x^2}{4}=33.25\ \ \ \ |\cdot4\\\\x^2=133\to x=\sqrt{133}\\\\\boxed{x\approx11.5}[/tex]

5.
[tex]\widehat{AB}\ \cong\ \widehat{DE}[/tex]

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