If the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?

Answer:

i think its b

Step-by-step explanation:

that was on my test and i do not remember what anwer i put

[tex]\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}[/tex]

[tex]\sf\blue{Height\:of\:the\:cylinder\:(h) }[/tex] = 10 ft.

[tex]\sf\pink{Volume\:of\:the\:cylinder}[/tex] = 25,456 ft³.

[tex]\sf\purple{The\:radius\:of\:the\:cylinder.}[/tex]

We know that,

[tex]\sf\red{Volume\:of\:a\:cylinder}[/tex] =[tex]\pi {r}^{2} h \\ ✒ \: 25456 \: {ft}^{3} = \pi {r}^{2} \times 10 \: ft \\ \: ✒ \: {r}^{2} = \frac{25456 \times 7 \: {ft}^{3} }{22 \times 10 \: ft} \\ ✒ \: {r}^{2} \: = \frac{178192 \: {ft}^{2} }{220} \\ \: ✒ \: {r}^{2} = 809.9636 \: {ft}^{2} \\ \: ✒\: r \: = \sqrt{809.9636 \: {ft}^{2} } \\ ✒ \: r \: = 28.45 \: ft[/tex]

Hence, the radius of the cylinder is 28.45 feet.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer: 12 boys attend Millwood School.

Step-by-step explanation:

Yeah. It just makes sense. I am bad at explaining. Sorry!

The ratio shows how many times one value is contained in another value.

The ratio of boys to girls at the Milwood School is 4 to 5.

The number of girls that attended the Milwood school is 15.

The number of boys that attended the Milwood school is 12.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of boys to girls at the Milwood School is 4 to 5.

Total number of children = 27

Let the number of boys = 4x

Let the number of girls = 5x

Now,

4x + 5x = 27

9x = 27

x = 3

Now,

The number of boys = 4x = 4 x 3 = 12

The number of girls = 5x = 5 x 3 = 15

Thus,

The number of boys that attended the Milwood school is 12.

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Given:

The quadratic equation is:

[tex]x^2+x-30=0[/tex]

To find:

The solutions of the given equation.

Solution:

We have,

[tex]x^2+x-30=0[/tex]

Splitting the middle term, we get

[tex]x^2+6x-5x-30=0[/tex]

[tex]x(x+6)-5(x+6)=0[/tex]

[tex](x+6)(x-5)=0[/tex]

Using zero product property, we get

[tex]x+6=0[/tex] and [tex]x-5=0[/tex]

[tex]x=-6[/tex] and [tex]x=5[/tex]

Therefore, the solutions of the given quadratic equation are -6 and 5.

Answer:

x^2-12x+37

Step-by-step explanation:

Let's start by putting this into vertex form which will be (x-6)^2+1

Now lets solve our equation to get parabola standard form

x^2-12x+37

Answer:

Centre: [tex](\frac{1}{2} ,2)[/tex]

Radius = [tex]2[/tex]

Step-by-step explanation:

General formula for a circle: [tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex]r=[/tex] the radius of the circle and [tex](a,b)[/tex] is the centre of the circle.

To find the centre and radius of the circle we should re-write the given equation in the form of the general formula.

So, put the terms with the same variables together:

[tex]4x^2-4x+4y^2+16y+1=0[/tex]

We can see that there is a common factor of [tex]4[/tex], so let's simplify by dividing by [tex]4[/tex]:

[tex]x^2-x+y^2+4y+\frac{1}{4} =0[/tex]

Here we can get it into the general formula by completing the square.

We do this by turning a quadratic with form [tex]ax^2+bx+c=0[/tex] into the form [tex](x-d)^2-e+c=0[/tex], where d is half of the coefficient of [tex]x[/tex], e is [tex]d^2[/tex] and c is the constant of the quadratic.

So let's re-write the equation of the circle:

[tex](x-\frac{1}{2} )^2-\frac{1}{4} +(y-2)^2-4+\frac{1}{4} =0[/tex]

Simplify: [tex](x-\frac{1}{2} )^2 +(y-2)^2-4} =0[/tex]

Now we can see that it's very similar to the general equation and all we have to do is bring the [tex]4[/tex] over to the right side.

[tex](x-\frac{1}{2} )^2 +(y-2)^2} =4[/tex]

So, now we can find the radius and centre.

[tex](a,b) = (\frac{1}{2} ,2)[/tex]

[tex]r^2=4, r=2[/tex]

Answer:

226.19 [tex]cm^{3}[/tex]

Step-by-step explanation:

Vol. of cone = Bh/3   where B is the area of the base(circle) and h is the height of the cone.

r = 3   h = 3

V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π

Vol. of the cylinder = Bh   where B is the base(circle) and h is the height of the cylinder.

r = 3   h = 10 - 3 = 7

V = [tex]\pi *3^{2} * 7[/tex] = 63π

Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19

Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,

Volume = Volume of cone + Volume of slant cylinder

             = [(1/3)πr²h] + [πr²H]

             = [(1/3)×π×(3)²×3] + [π×(3)²×7]

             = 28.274 cm³ + 197.920 cm³

             = 226.194 cm³

Hence, the volume of the composite figure will be 226.194cm³.

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25 = a1(1- (0.6)⁴)/(1-0.6)

25 = a1 (1- 0.13)/(0.4)

10 = a1(0.87)

a1 = 11.49

S8 = 11.49(1- (0.6)^8)/(1-0.6)

= 11.49(1-0.017)(1-0.6)

= 11.49(0.983)/0.4

= 28.24

The sum of the first eight terms of the given geometric series is; 28.24

We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

where;

a is first term

r is common ratio

Thus;

25 = a(1 - (0.6)⁴)/(1 - 0.6)

25 = a(1 - 0.13)/(0.4)

10 = 0.87a

a = 11.49

Thus, sum of the first 8 terms of the series is;

S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)

S₈ = 11.49(1 - 0.017)(1 - 0.6)

S₈ = 28.24

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Answer:

The answer is B It is located on the Quadrant ll

Step-by-step explanation:

have a good day :)

Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer:

(a) 8P3 =336;

Answer:

3rd option

Step-by-step explanation:

Given

[tex]\frac{x^2-10x+21}{x^2+x-12}[/tex] ← factor numerator and denominator

= [tex]\frac{(x-7)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator / denominator

= [tex]\frac{x-7}{x+4}[/tex]

Step-by-step explanation:

c is the correct answer of this question.

=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Answer:

5hours - 3hours = 2hours

Answer:

B.  (3, ∞)

Step-by-step explanation:

Look at the graph of function f(x) = e^x.

The range is from 0, 0 not included, to infinity, or, in interval notation, (0, ∞).

The function g(x) = f(x) + 3 is the same as g(x) = e^x + 3.

g(x) is the the function f(x) shifted 3 units up.

That makes the range of g(x) from 3, 3 not included, to infinity.

Range: (3, ∞)

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Answer:10

Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps

Answer:

B, 600

I've attached a graph to help ya!

Hope this helps!

Answer:

The answer is in the picture.

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex](5x - 3) + 63 + (3x + 8) = 180 \\ 8x + 68 = 180 \\ 8x = 112 \\ x = 112 \div 8 \\ x = 14 \\ so \\ (5 \times (14) - 3) = 67 \\ (3 \times (14) + 8) = 50[/tex]

Answer:

3, 5, 6

Step-by-step explanation:

Angles that will be congruent to the given angle, 94° would be any angle that is corresponding to 94°, any angle that is vertical to 94°, any angle that is the alternate interior angle to 94°.

Thus.

Angle 3 = 94° (vertical angles)

Angle 5 = 94° (corresponding angles)

Angle 6 = 94° (alternate interior angles)

Answer:

Hello! answer: 7

Step-by-step explanation:

80 + 80 = 160 360 - 160 = 200 200 ÷ 2 = 100 and 14 × 7 = 98 and 98 + 2 = 100 therefore x = 7 HOPE THAT HELPS!

Answer:

[tex]A) ~7[/tex]

Step-by-step explanation:

[tex]80+14x+2=180[/tex]

[tex]14x+82=180[/tex]

[tex]14x=98[/tex]

[tex]x=7[/tex]

------------------------

hope it helps..

have a great day!!

Answer:

87 minutes

Step-by-step explanation:

Assuming 1 1/2 is 112, take 25 away from 112

Answer:

[tex]241\frac{5}{16}[/tex]

Step-by-step explanation:

Answer:

7+√5/4

Step-by-step explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is  7+√5/4

Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

8/4 = 2

[tex]\sqrt{20} / \sqrt{4}[/tex] = [tex]\sqrt{5}[/tex]

Therefore: 2[tex]\sqrt{5}[/tex]

Hope this helps!

Answer:

[tex]2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\frac{8\sqrt{20}}{4\sqrt{4}} = \frac{2 \cdot 4 \cdot \sqrt{4} \cdot \sqrt{5}}{4 \cdot \sqrt {4}} = 2\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

the area of the rectangle is a difference of two squares

so it can be expressed

(x^2-3y)(x^2+3y)

Answer:

(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer: first one: false second one: true

Step-by-step explanation: