Work out the length of DB in the diagram below.
Not drawn
to scale
С
5 cm
D
B
4 cm
E
А
18 cm

Answer:

580 seedlings altogether.

Step-by-step explanation:

Given that,

Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

Let x = the total number of seedlings

[tex]15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580[/tex]

Hence, three boys plant 580 seedlings altogether.

Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

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Answer:

3+3+3+3

Step-by-step explanation:

it's ans is 3+3+3

Answer:

I think the answer is D.

sorry if I'm wrong..

Answer:

Yes, that is correct. Congrats 7 year old.

Step-by-step explanation:

2 plus 2 equals 4

:)

thanks for points

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

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

Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

Answer:

A= -8

Step-by-step explanation:

Subtract 5a from both sides.

Combine 4a and −5a to get −a.

Add 7 to both sides.

Finally, Multiply both sides by −1.

Pls mark brainliest.

Answer:

a = -8

Step-by-step explanation:

4a - 7 = 5a + 1

subtract 1 from both sides of the equation

4a - 7 - 1 = 5a + 1 - 1

4a - 7 - 1 = 5a

4a - 8 = 5a

subtract 4a from both sides of the equation

4a - 4a - 8 = 5a - 4a

-8 = 5a - 4a

-8 = 1a

-8 = a

Answer:

39

Step-by-step explanation:

Answer:

Step-by-step explanation:

131.95

The volume of cylinder and cone are [tex]36\pi[/tex] cubic unit.

It is given by formula, [tex]V=\pi r^{2}h[/tex]

Where r is base radius and h is height of cylinder.

Given that,  [tex]r=3,h=4[/tex]

Substitute values in above formula,

         [tex]V=\pi*3^{2} *4=36\pi[/tex]

Volume of the cone is,

                 [tex]V=\frac{1}{3} \pi r^{2}h[/tex]

Given that, [tex]r=3,h=3*4=12[/tex]

Substitute values in above formula.

    [tex]V=\frac{1}{3}\pi*3^{2}*12=36\pi[/tex]

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Answer:

Area of B =80

I hope it's helps you

Answer:

x = 11

Step-by-step explanation:

3(x-5) = 18

Step one: Distrubute 3 to the numbers in the parenthesis.

3x - 15 = 18

Step two: Add 15 on both sides

3x = 33

Step three: Divide by 3 on both sides

x = 11

the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle. the longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by the square root of 3. so quite basically, hypotenuse = short leg square root, long leg = short leg squared :3 ( ex: short leg is 2 , 2^2 = 4, 2^3= 6 )

A≈116.06,  the area of the triangle.

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Area: ½ × base × height

here, we have,

the side= 18, 18

base = 14

here, it is a isosceles triangle.

So, using the formula ,

we get,

area= 116.06

hence, A≈116.06,  the area of the triangle.

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Answer:

Sarah: £15

Fiona: £15

David: £10

Step-by-step explanation:

3 + 3 + 2 = 8

40 ÷ 8 = 5

3 × 5 = 15

3 × 5 = 15

2 × 5 = 10

Answer:

Step-by-step explanation:

[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]

[tex] {5}^{m - ( - 3)} = {5}^{5} [/tex]

[tex]m + 3 = 5[/tex]

[tex]m = 2[/tex]

Answer:

[tex] {5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}[/tex]

9514 1404 393

Answer:

  solve for f(n) in terms of f(n-1)

Step-by-step explanation:

In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....

__

Usually, such questions arise in the context of arithmetic or geometric sequences.

Arithmetic sequence

The explicit formula for an arithmetic sequence has the general form ...

  a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d

The recursive formula for the same arithmetic sequence will look like ...

  a(1) = a(1) . . . . . . . the first term is the first term

  a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before

__

Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.

__

Geometric sequence

The explicit formula of a geometric sequence has the general form ...

  a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r

The recursive formula for the same geometric sequence will be ...

  a(1) = a(1) . . . . . . the first term is the first term

  a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio

__

Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.

__

Other sequences

Suppose you're given the quadratic sequence ...

  a(n) = pn^2 +qn +r

Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...

  a(n) = c·a(n-1) +d·a(n-2) +e

for the values c, d, and e. Doing that, we find ...

  (c, d, e) = (2, -1, 2p)

So, the recursive relation is ...

  a(1) = p +q +r

  a(2) = 4p +2q +r

  a(n) = 2a(n-1) -a(n-2) +2p

__

Additional comment

The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.

There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)

Answer:

25

Step-by-step explanation:

An unknown number of people signed up for the class. Let the total number of people who signed up be x.

56% of the people who signed up are beginners. 14 people are beginners.

That means that

56% of the people who signed up is 14 people.

56% of x = 14

56% * x = 14

0.56x = 14

Divide both sides by 0.56.

0.56x/0.56 = 14/0.56

x = 25

Answer: 25

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

[tex]z=2-x-2y[/tex]

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

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

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

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Answer:

x=5

Step-by-step explanation:

2x-3(3x-11)= -2

2x-9x+33= -2

-7x-33= -2

-7x= -33-2

-7x= -35

÷ -7= ÷ -7

x= 5

Answer: 6,-6

Step-by-step explanation:

Because when you add the same number and one of them is a negative it will always be a zero. For example: (-2+2)= 0

I'm sorry if this didn't help.

Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.

Step-by-step explanation:

That is an example of an increasing interval.

Answer:

a

Step-by-step explanation:

Answer:

your answer C.)11,779 feet

Step-by-step explanation:

also the other ch.at got max out....

Answer:

C.)11,779 feet

Step-by-step explanation:

I took the test and got it correct!

The value of midpoint of AC will be 0.5.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Point A is at - 2 and C is at 3 on the number line.

Now,

Since, Point A is at - 2 and C is at 3 on the number line.

Hence, The midpoint of AC = (- 2 + 3 ) / 2

                                           = 1/2

                                           = 0.5

Thus, The midpoint of AC = 0.5

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Answer:

it has no pic

Step-by-step explanation:

Answer:

slope = 2/3

Step-by-step explanation: