The list 11, 20, 31, 51, 82 is an example of a list of five strictly positive integers
arranged in ascending order and of which we obtain the third integer by adding the
first and second integers, the fourth by adding the second and third
integers, and the fifth by adding the third and fourth integers. How much
such lists of five positive integers have 124 as the fifth integer?

Answer:

X = 3

Step-by-step explanation:

math

The value of the expression 6 (d - f) + f when d = 4 7/8  and f = 3 1/2 is 47/4 or [tex]11\frac{3}{4}[/tex] .

6 (d - f) + f

when d = 4 7/8 and f = 3 1/2

Given the data in the question;

First, we convert the mixed fraction into an improper fraction

d = 4 7/8 = ( 8×4 + 7 )/8 = 39/8

f = 3 1/2 = ( 2×3 + 1 )/8 = 7/2

Now, we substitute the values of d and f into the expression.

234/8 - 42/2 + 7/2

234/8 - 168/8 + 7/2

33/4 + 7/2

33/4 + 14/4

47/4 or [tex]11\frac{3}{4}[/tex]

Therefore, the value of the expression 6 (d - f) + f when d = 4 7/8  and f = 3 1/2 is 47/4 or [tex]11\frac{3}{4}[/tex] .

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Answer:

3/5 = 0.6

2/3 = 0.6 (recurring)

0.6 x 0.6

= 0.36

Answer:

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

Step-by-step explanation:

[tex]\dfrac{3}{5} \times \dfrac{2}{3} = \dfrac{3 \times 2}{5 \times 3} = \dfrac{3 \times 2}{3 \times 5} = \dfrac{3}{3} \times \dfrac{2}{5} = 1 \times \dfrac{2}{5} = \dfrac{2}{5}[/tex]

Step-by-step explanation:

here you go hope it helps

Answer:

a = 9

b = 9√3

Step-by-step explanation:

Check the picture below.

so we can simply get the volume of each and sum them up.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=base's~area\\[-0.5em] \hrulefill\\ h=6\\ B=\stackrel{8\times 8}{64} \end{cases}\implies V=\cfrac{(64)(6)}{3}\implies V=128[/tex]

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=base's~area\\[-0.5em] \hrulefill\\ h=12\\ B=\stackrel{8\times 8}{64} \end{cases}\implies V=\cfrac{(64)(12)}{3}\implies V=256 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 128~~ + ~~256~~ = ~~384~\hfill[/tex]

Answer:

length ≈ 0.599 feet

Step-by-step explanation:

volume = length³

0.215ft³ = length³

cube root both sides to isolate the length

∛(0.215ft³) = length

length ≈ 0.599 feet

[tex]\textbf{(i)}\\\\y=f(x)= \dfrac{x}{4+x}\\\\\\\dfrac{dy}{dx}= \lim \limits_{h \to 0} \dfrac{f(x+h)-f(x)}{h}\\\\\\~~~~~=\lim \limits_{h \to 0}\dfrac{\dfrac{x+h}{4+x+h}-\dfrac{x}{4+x}}{h}\\\\\\~~~~~~=\lim \limits_{h \to 0}\dfrac{\tfrac{(x+h)(4+x)-x(4+x+h)}{(4+x+h)(4+x)}}{h}\\\\\\~~~~~~= \lim \limits_{ h \to 0} \dfrac{4x+x^2 +4h+hx -4x-x^2 -hx}{h(4+x+h)(4+x)}\\\\\\~~~~~~=\lim \limits_{ h \to 0}\dfrac{4h}{h(4+x+h)(4+x)}\\\\\\~~~~~~=\lim \limits_{h \to 0} \dfrac{4}{(4+x+h)(4+x)}\\[/tex]

       [tex]~~~~~~~~= \dfrac{ 4}{(4+x+0)(4+x)}\\\\\\~~~~~~~~= \dfrac{4}{(4+x)^2}[/tex]

[tex]\textbf{(ii)}\\\\\text{Given that,}~ y = f(x) = \sin 2x\\\\\\\dfrac{dy}{dx} = \lim \limits_{h \to 0} \dfrac{f(x+h) - f(x) }{h}\\\\\\~~~~~~=\lim \limits_{h \to 0} \dfrac{\sin(2x+2h)-\sin 2x}{h}\\\\\\~~~~~~=\lim \limits_{h \to 0} \dfrac{2 \sin \left( \dfrac{2x +2h -2x}{2} \right) \cos \left(\dfrac{2x+2h+2x}{2} \right)}{h}\\\\\\~~~~~~=\lim \limits_{h \to 0} \dfrac{2 \sin \left( \dfrac {2h}2 \right) \cos \left(\dfrac{ 4x+2h} 2\right)}{h}\\\\\\[/tex]

    [tex]~~~~~~=\lim \limits_{h \to 0} \dfrac{2 \sin h \cdot \cos \left[ \dfrac{2(2x+h)}{2}\right] }{h}\\\\\\~~~~~~=\lim \limits_{h \to 0} \dfrac{2 \sin h \cdot \cos(2x+h) }{h}\\\\\\~~~~~~=2\left(\lim \limits_{h \to 0} \dfrac{\sin h}{ h} \right) \cdot \lim \limits_{h \to 0} \cos (2x+h)\\\\\\~~~~~~=2\cdot 1 \cdot \cos(2x+ 0)\\\\\\~~~~~~=2 \cos 2x[/tex]

Answer:

12%.

Step-by-step explanation:

That would be (15/125) * 100

= 1500/125

= 12%

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

★ Here given in question:-

[tex]\rule{70mm}{2.9pt}[/tex]

soo

[tex] \sf ➤ \: \frac{15}{125} \\ \sf➤ \: \cancel \frac{15}{125} \\ \sf ➤ \: 0.12[/tex]

soo decimal form = 0.12

☆ Now finding percentage

[tex] \sf➤0.12 \times 100 \\ ➤ \: 10 \%\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\rule{70mm}{2.9pt}[/tex]

☆ Soo the animals got adopted in percentage is

[tex] \large\pink{\underline{ \underline{ \boxed{ \sf{✰\:12\%✓}}}}}[/tex]

[tex]\rule{70mm}{2.9pt}[/tex]

Hope it helps!

Answer:

A = 20 percent

B = 41 percent

Step-by-step explanation:

simply use 300 as your denominator

60/300 = 20

123 / 300 = 41

Answer:

3000 square inches.

Step-by-step explanation:

First, scale this one up. Multiply each by 2. consider area of a trapezoid. A = 1/2 (b1 + b2) h. This will be 1/2 (20 + 30) * 20, so you'll get 500 square in. Then, multiply by 6 since Buffy is making 6 of them. 500 * 6 = 3000 square inches.

The graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

To add the two complex number on the graph, the addition as transition method is used.

In this one complex number is translated to the tip of the other graph. The resultant of addition is equal to the distance between them.

On the graph 4, the transition method of addition is applied.Thus, the graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.

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Answer:

Check explanation below!

Step-by-step explanation:

» Solving

Step 1: Subtract 4x from both sides.

Step 2: Divide both sides by -5.

1)

|-6-2|=|-8|=8

2)

G and I

3)

|-6+2|= |-4|=4

the point that is 4 units away from H and K is I

I=-2

The x intercept is lies at the midpoint of (-6 and -4

so

And it's translation of logx

translated equation

Now the vertical asymptote is at

Option A

Answer:

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6

Step-by-step explanation:

From inspection of the graph:

x-intercept is where the curve intercepts the x-axis → x = -5

y-intercept is where the curve intercepts the y-axis → y ≈ 0.75

An asymptote is a horizontal or vertical line which the curve gets infinitely close to, but never touches.

From the portion of the curve in the graph, it appears that the curve gets very close to but never touches:

(However, without seeing a large portion of the graph, we cannot be sure, particularly for the horizontal asymptote).

Therefore, from the given solution options:

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6

We have

tan(2x) = sin(2x) / cos(2x)

tan(2x) = (2 sin(x) cos(x)) / (2 cos²(x) - 1)

Recall that

sin²(x) + cos²(x) = 1

and since sin(x) is negative, it follows that

sin(x) = - √(1 - (2/3)²) = -√5/3

Then

tan(2x) = (2 (-√5/3) (2/3)) / (2 (2/3)² - 1) = 4√5

Answer:

[tex](x-3)^2 =21[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot 3 +3^2=21\\\\\implies (x-3)^2 =21[/tex]

Answer:

Step-by-step explanation:

4 * 3 = 12

4 * -2 = -8

12 * -8 = -96

= -90

Answer:

I got 58.5

I multiplied 3x9 to get 27

then 3x6 to get 18

then 3x9/2 to get 13.5 and added them all together.

Answer:

the 4th box is divided by 2. sorry but don't know the others

Step-by-step explanation:

Answer:

28, 50, 51, 18, 31, 34, 56, 39, 60

Step-by-step explanation:

big math

Answer:

Option 4

Step-by-step explanation:

Answer:

x = 7.5 units

Step-by-step explanation:

10   *   .75    = 7.5

Answer:

23456789-123456789

Step-by-step explanation:

es la cuadricula

Answer:

but how do you want it done?

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

sec(60) = 32 /x

2 = 32/x

x2 =32

x = 16

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{sin^2x+cos^x}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow cosecx[/tex]

Answer:

cosec x

(or csc x)

Step-by-step explanation:

Trig Identities

[tex]\sf \sin^2 x + \cos^2 x=1[/tex]

[tex]\sf \dfrac{1}{\sin x}=cosec\: x[/tex]

Therefore,

[tex]\begin{aligned}\implies \sf \dfrac{\sin^2x + \cos^2x}{\sin x} &= \sf\dfrac{1}{\sin x}\\\\ & = \sf cosec\:x \end{aligned}[/tex]

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} r=\stackrel{smaller}{radius}\\ R=\stackrel{larger}{radius}\\[-0.5em] \hrulefill\\ r=2\\ R=3 \end{cases}\implies \begin{array}{llll} A=\pi (3^2-2^2)\implies A=5\pi \\\\\\ A\approx 15.71 \end{array}[/tex]

Answer:

266.9 feet

thats the answer

sana makatulong poww huhu

Answer:

4.4 inches

Step-by-step explanation:

Here, we are interested in calculating the value of x.

Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.

This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.

3.7 is half the length of the chord i.e 7.4/2

Thus;

using Pythagoras’ theorem

x^2 = 2.4^2 + 3.7^2

Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.

Thus;

x^2 =5.76 + 13.69

x^2 = 19.45

x = √(19.45)

x = 4.41 inches which is 4.4 inches to the nearest tenth

Answer:

Central angle = 31 / 4 radians

=

Length of the arc = (3 1 / 4) (radius) = 45 in

=

=> radius = 45 in * 4 / (31) = 45 * 4 / (3 * 3.14) in

=

radius = 19.1 in

=

Answer: 19.1 in

Step-by-step explanation:

Correct me if I'm wrong