What is the volume of the enclosure to the nearest whole number? the volume is approximately ft3. how can the density of birds in the enclosure be found? divide the . what is the number of birds per cubic foot to the nearest hundredth? the density is approximately birds per cubic foot.

Using proportions, it is found that the family will drive 482.8 km on the new route.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:

D = 1.25 x 240 = 300 miles.

Since there are are approximately 48.28 kilometers in 30 miles, and 300/30 = 10, the distance in kilometers is given by:

D = 48.28 x 10 = 482.8 km.

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Answer:

1,260

Step-by-step explanation:

you have too do 2 by 3 by 5 by 6 by 7 so you get

1,260

A) The number of students who like both drinks is 325.

B) The number of students who like one of these drinks only. 275

A Venn diagram is used to visually represent the differences and the similarities between two concepts.

Total students= 900

students like tea=600

students like coffee=500

Students did not like both drinks=125

Students who both or any one of the drinks= 900-125=725

Now,

students like both drinks= 600+500-725

                                         = 325

Hence, the number of students who like both drinks is 325.

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Answer:

If the children divide evenly onto 3 buses, there will be 11 children on each bus

Step-by-step explanation:

Add all 3 classes to ind total amount of students

Ms. Noels class has 10 students

Mr. Grubbs class has 9 students

Ms. Ackerman's class has 14 students

Total Students: 10 students + 9 students + 14 students

33 total students

Dividing 33 students in 3 busses is 33 / 3 which equals 11

Answer:

a

.6666666 has been rounded up to .6666667

b

0.3333333 = 1/3

0.8333333 = 5/6

2.1666667 = 13/6

0.6666667 = 2/3

0.1428571429 = 1/7

1.6666667 = 5/3

Step-by-step explanation:

a

7 appears at the end of 3 of the decimals because it has been rounded up from 6.66666 recurring.

b

I will go through how to convert one decimal to a fraction:

0.833333333 = x

8.333333333 = 10x

83.33333333 = 100x

100x - 10x = 75

90x = 75

x = 75/90 = 5/6

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 31.4 \: cm[/tex]

Answer:

31.4cm

Step-by-step explanation:

d = 2*r

r = 5

d = 10

circumference = d(3.14) = 10*3.14 = 31.4 cm

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Answer:

2sin((1)x + 135)-3

Step-by-step explanation:

Asin(Bx+C)+D

A = amplitude = distance from top to bottom divided by 2

y value of top = -1

y value of bottom = -5

distance from top to bottom = -1 - (-5) = 4

divide by 2 to get 4/2 = 2 as our amplitude

2π/B = period

in this case, we're working in degrees for our x axis - 2π = 360°

thus, 360°/B = period

period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case

thus, 360°/B = 360°

divide both sides by 360° and multiply both sides by B to isolate B

360/360 = B = 1

phase shift = -C/B

phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave

thus,

-135 degrees = -C/B

B = 1

-135 degrees = -C

C = 135 degrees

D = vertical shift

the center is now at y = -3. normally, the center is at y = 0. thus, D = -3

our formula is thus

2sin((1)x + 135)-3

Answer:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

Given/To Find:

What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

Answer choices:

x = the quantity of 3 plus or minus the square root of 37 all over 2

x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2

x = the quantity of negative 3 plus or minus the square root of 19 all over 2

Solve:

By using the quadratic formula, the solutions are

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4\times1\times(-7)}}{2\times1}[/tex]

[tex]x=\frac{3±\sqrt{37}}{2}[/tex]

Hence, the answer is :

x = the quantity of 3 plus or minus the square root of 37 all over 2

Kavinsky

Answer:

The exact solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

We are asked to find the exact solution of the polynomial equation which is given by:

[tex]x^2 - 3x - 7 = 0[/tex]

We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.

Now, on solving the quadratic equation i.e.  degree 2 polynomial equation using the quadratic formula:

That is any polynomial equation of the type:

[tex]ax^2+bx+c=0[/tex]

is solved by using the formula:

[tex]x=\frac{-b±\sqrt{x} b^2-4ac}{2a}[/tex]

Here we have:

a=1, b=-3 and c=-7.

Hence, the solution of the equation is:

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4*(-7)*1} }{2*1}[/tex]

[tex]x=\frac{3±\sqrt{9+28} }{2}[/tex]

[tex]x=\frac{3±\sqrt{37} }{2}[/tex]

Hence, the solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

( i.e.

[tex]x=\frac{3±\sqrt{37} }{2}[/tex] )

f(-2) means the x value is -2 and you need to find the y value at that point.

At x = -2 the line crosses the y axis at y = 2

f(-2) = 2

If a pair related to the function is graphed

Then

So

f(x)=y

Her e

Find the point

So

f(-2)=2

The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.

∠Z = 180 - 86-38 = 56°

Similarly,

∠L = 38°

From this, two triangles XYZ and LMN

We can say:

ΔXYZ≅ΔLMN

∠Y = ∠M = 86°

∠X =∠L = 38°

XZ ≅ LN

Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

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The sides length of the square is 3 units, then the perimeter of the square is 12 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

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Check the picture below.

56%

subtract 13 from 30, and you get 17. Then you need to divide 17 and 30

Answer: 56.7%

Step-by-step explanation:

Girls = 30 -13 =17

Girls = 17/30 × 100/1

Girls = 0.567× 100

Girls = 56.7%

Answer:

2 and 5/11

Step-by-step explanation:

first we find how many times 11 goes into 27. It goes in twice, which gives us our whole number, 2. Then we need to find the fraction part, which is whatever's left over. 27-22 is 5, giving us 2 and 5/11

Answer:

He is false

Step-by-step explanation:

Hey there!

The area of a shape is the total measurement of the inside of the shape

Meaning the parts I shaded in the screenshot

As you can see in the image, there is less area in shape B than shape A

Meaning, that the area has decreased

Now, Tom says that both area and perimeter has decreased

Lets check if the perimeter has decreased

If you look at it, the perimeter hasn't decreased at all

All that has happened was the shape getting a new form

The dimension are basically split

For example, if the top side of the square was 6 inches

Then the dimension after taking out a square from the shape would split

The top side of that square after is was split would be something along the ligns of 4 inches, and 2 inches and other dimensions like that

That is how I think of the perimeter and if it changes or not

But this explains why Tom is wrong

Since the perimeter is still the same

Tom is wrong

Answer:

[tex]a = b\sqrt{5} - 8\sqrt{5}\\b = -8 - \frac{a\sqrt{5}}{5}[/tex]

Step-by-step explanation:

working attached

Answer:

11......................

Answer:

3rd option, r(t) = 310t

Step-by-step explanation:

310 years is like the slope so you multiple it by the amount of years

example: in 2 years it would make 620 orbits since 310(2) = 620

Answer:

Option (2)

Step-by-step explanation:

The horizontal ground distance between the person and the plane is 6174.5 feet

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

Let d represent the horizontal ground distance between the person and the plane.

tan(39) = 5000 / d

d = 6174.5 feet

The horizontal ground distance between the person and the plane is 6174.5 feet

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Answer:

D) A triangle where there is a 90 degree angle

Step-by-step explanation:

Answer:

42.5° East of South

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]\bigodot B.\:\: 31\sqrt 3[/tex]

Step-by-step explanation:

[tex]~~~~(7x+8)+33 +90 = 180\\\\\implies 7x+131=180\\\\\implies 7x = 180 -131\\\\\implies 7x =49\\\\\implies x = \dfrac{49}7\\\\\implies x = 7[/tex]

Answer:

18 m

Step-by-step explanation:

11m + 7m is 18m
The final answer is 18m

The change in altitude of the kingfisher is 18 m.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

Suppose the distance above the cliff is represented by a positive integer.

Then the distance below it is represented by a negative integer.

Thus, change in altitude of the kingfisher

= 7-(-11)

= 7+11

= 18 m

Hence, the change in altitude of the kingfisher is 18 m.

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Answer:

48.89

Hope this helps!!

Answer: 48.89

Step-by-step explanation:

     The proportion for tangent is the opposite side over the adjacent side.

[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]

Given:

tan(E) = [tex]\frac{55}{48}[/tex]

Inverse:

[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]

Simplify:

≈ 48.8879

Round:

≈ 48.89

Answer: A: $6324

B: by $1005.04 more

Step-by-step explanation:

A: 6.2% of 102,000 is 6324

B: find the tax rate of each job by finding 6.2% of what was paid, add them together, then subtract the maximum tax rate from that to see how he over paid

Answer: x = 0

Step-by-step explanation: x+5=−5x+5

Add 5x to both sides.

x+5+5x=5

Combine x and 5x to get 6x.

6x+5=5

Subtract 5 from both sides.

6x=5−5

Subtract 5 from 5 to get 0.

6x=0

Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.

x=0

Answer:

y = x - 3

Step-by-step explanation:

a linear equation has the form

y = ax + b

the only equation in this form is

y = x - 3

The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2

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

Given the expression:

[tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )\\\\Simplifying\ the\ expression:\\\\=(\frac{n+3}{2(n-3)})/ (\frac{3(n-3)}{n+3} )\\\\=\frac{3}{2}[/tex]

The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2

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