It twice the difference of a number and gig add to 4 the result is 22 more than four time the number. Find the number.

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Answer:

Exact Length = 2*sqrt(30)

Approximate Length = 10.95445

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

Work Shown:

(tangent)^2 = (external secant)*(whole secant)

(CD)^2 = (CB)*(CA)

(CD)^2 = (CB)*(CB+BA)

x^2 = 5*(5+19)

x^2 = 120

x = sqrt(120)

x = sqrt(4*30)

x = sqrt(4)*sqrt(30)

x = 2*sqrt(30)  .......... exact length

x = 10.95445 ............. approximate length

The length of the tangent segment is; x = 10.95

From secant theorem, we know that;

Tangent ² = length of external secant × total length of secant.

From the image, we see that;

Length of tangent is x.

External secant = 5

Total length of secant = 19 + 5 = 24

Thus;

x² = 5 × 24

x² = 120

x = √120

x ≈ 10.95

Read more about length of tangent at;https://brainly.com/question/9132922

Answer:

12 nutted chocolates

Step-by-step explanation:

0.6 is equal to 60% and 60% 0f 20 is 12.

Answer:

The answer is below

Step-by-step explanation:

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate is:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\[/tex]

An equilateral triangle is a triangle with three equal sides (all sides are equal).

a) Given vertices at A(-2,2), B(1,5), and C(-3,6):

[tex]AC=\sqrt{(-3-(-2))^2+(6-2)^2}=\sqrt{1+16}=\sqrt{17}=4.12\ unit\\\\AB=BC=AC=4.12\ unit[/tex]

b) Perimeter = AB + BC + AC = 3 * AC = 3 * 4.12 = 12.36 unit

c) If the scale factor is increased by 4, all the sides would also increase by 4. Hence the new length would be:

A'B' = B'C' = A'C' = 4 * AC = 4 * 4.12 = 16.48 unit

d) Perimeter = A'B' + B'C' + A'C' = 3 * A'C' = 3 * 16.48 = 49.44 unit

e) Area = [tex]\frac{\sqrt{3} }{4}*AC^2=\frac{\sqrt{3} }{4} *4.12^2=7.35\ unit^2[/tex]

Answer:

0.980413

Step-by-step explanation:

The table for the deaths and death rate per 100,000 population is attached below ;

73 years fall in the 65 - 74 years category ; with 1958.7 deaths (Female)

Hence, the probability of living another year is :

Number of deaths per 100,000 population ;

P(death) = 1958.7 / 100,000 = 0.019587

Probability of living another year = 1 - P(death)

1 - 0.019587 = 0.980413

Answer:

C. 0.980413

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Answer:

none

Step-by-step explanation:

any value on y cancel 4y and then we will have -12=12 which is not true.

Answer:

[tex]b(a) = \frac{a}{7} -5[/tex]

Step-by-step explanation:

Given

[tex]a(b) = 14 * \frac{b + 5}{2}[/tex]

Required

The inverse function

We have:

[tex]a(b) = 14 * \frac{b + 5}{2}[/tex]

[tex]a(b) = 7(b + 5)[/tex]

Rewrite as:

[tex]a = 7(b + 5)[/tex]

Divide by 7

[tex]\frac{a}{7} =b + 5[/tex]

Subtract 5

[tex]b = \frac{a}{7} -5[/tex]

Express as:

[tex]b(a) = \frac{a}{7} -5[/tex] --- the inverse function

Answer: Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation-

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Answer:

Options (2) and (3)

Step-by-step explanation:

Rigid transformation like translation, rotation or reflection form the image with no change in the area or shape.

By applying dilation, area of the image shape gets dilated by the scale factor 'k'.

If k > 1, area of the image will be greater than the original shape.

If 0 < k < 1, are of the image will be smaller than the original.

Option (1),

There is a dilation by a scale factor of [tex]\frac{2}{3}[/tex] and [tex]0<\frac{2}{3}<1[/tex],

Therefore, image will be smaller than the original.

Option (2)

There are two dilations.

First dilation is by a scale factor of 2 and the second is by a scale factor of [tex]\frac{2}{3}[/tex].

By first dilation area of the image will get doubled.

Followed by the dilation by a scale factor of [tex]\frac{2}{3}[/tex], area of the image will be dilated by the scale factor = [tex]2\times \frac{2}{3}[/tex]

                                         = [tex]\frac{4}{3}[/tex]

Since, [tex]\frac{4}{3}>1[/tex], image will be greater than the original.

Option (3)

In this option polygon is dilated by a scale factor [tex]\frac{3}{2}[/tex].

Since, [tex]\frac{3}{2}>1[/tex]

Image will have the greater area than the original.

Option (4)

In this option polygon is dilated by a scale factor [tex]\frac{1}{2}[/tex].

Therefore, area of the image will be less than the area of the original.

Options (2) and (3) will be the correct options.

Answer:

A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right.

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

Answer:

this is from a angle I think you want to write perimeter and area of this ×+1= and you want see that

Answer: [tex]P=795(1.84)^n[/tex]

Step-by-step explanation:

Given

Initial population was [tex]795[/tex] people

By 2020, it becomes [tex]1262[/tex] people

Suppose the population follows the trend [tex]P=P_oa^{n}[/tex]

where, [tex]n[/tex] is the number of years after 2014

For year 2020 it is 6. Insert the values

[tex]\Rightarrow 1262=795a^{6}\\\\\Rightarrow 1.587=a^{6}\\\\\text{Taking log both sides}\\\\\Rightarrow \log (1.587)=6\log (a)\\\Rightarrow \log (a)=0.2645\\\\\Rightarrow a=10^{0.2645}\\\Rightarrow a=1.84[/tex]

Thus, the exponential population trend is [tex]P=795(1.84)^n[/tex]

Answer:

-2 = -6

Step-by-step explanation:

first, you type -2 in the left box and -6 in the middle box

Answer:

see below

Step-by-step explanation:

123,116,109,102,95.

First find the common difference

d = 116 - 123 = -7

We are subtracting 7 each time

Using the formula

a1 = 123

d=-7

an = 123+ (n-1)(-7)

We need to find the 100th term

Let n = 100

a100 = 123 +(100-1) (-7)

         = 123+(99)(-7)

        = 123-693

        = -570

Answer:

It is c

Step-by-step explanation:

Answer:

79.5 + 5.5x = Y

Step-by-step explanation:

Sumo wrestler gained 5.5 kg per month

After 11 month, he weighed 140 kg.

Let x be his current weight.

Then x + 11(5.5) = 140

  x = 140 - 60.5

  x = 79.5

If Y is the weight of the wrestler after t months, then the linear equation would be:

 79.5 + 5.5t = Y

Answer:

x ≥ 22.6 pages

Step-by-step explanation:

Each page = 20 cards

Cards ready to go in = 48

Let x = number of pages of cards Carlos might have

The inequality:

20x + 48 ≥ 500

20x ≥ 500 - 48

20x ≥ 452

x ≥ 452 / 20

x ≥ 22.6 pages

Step-by-step explanation:

call the height of the tower x

we have tan30°=x:200 so we can find x

Answer:

future value = $8700(1.091)^x

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value = 8700

R = interest rate = 9.1%

N = number of years  = x

future value = $8700(1.091)^x

Answer:

3(x)^3 + 2(x)^2 + 22x - 15

Step-by-step explanation:

(3(x)^2 + 2x - 3) (x + 5)

=>(3(x)^2 + 2x - 3) (x) + (3(x)^2 + 2x - 3) (5)

=>3(x)^3 + 2(x)^2 - 3x + 15x + 10x - 15

=>3(x)^3 + 2(x)^2 + 22x - 15

9514 1404 393

Answer:

  p = 3/4n +3

Step-by-step explanation:

Expressing the given equation in terms of powers of 3, we have ...

  (27^(n+3))/(81^(p-1)) = 3

  (3^3)^(n+3)/(3^4)^(p-1) = 3^1 . . . . as powers of 3

  3(n +3) -4(p -1) = 1 . . . . . . . . . . . . log base 3 (or, equate exponents)

  3n +9 -4p +4 = 1 . . . . . . . . . . . . . eliminate parentheses

  3n +12 = 4p . . . . . . . . . . . . . . . . add 4p -1

  p = 3/4n +3 . . . . . . . . . . divide by 4

Problem 5

d = 29 = diameter

r = d/2 = 29/2 = 14.5 = radius

SA = surface area of sphere

SA = 4*pi*r^2

SA = 4*pi*(14.5)^2

SA = 841pi

SA = 841*3.14

SA = 2,640.74 square inches

To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.

2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft

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

Problem 6

d = 10.7 = diameter

r = d/2 = 10.7/2 = 5.35 = radius

L = 22.3 = slant height

SA = surface area of the cone

SA = pi*r^2 + pi*r*L

SA = pi*(5.35)^2 + pi*5.35*22.3

SA = 147.9275pi

SA = 147.9275*3.14

SA = 464.49235

y = x^2 -5x-6 is a quadratic equation.

On a graph, rather than a straight line, this type of equation forms what is known as a parabola, which means it goes one direction and then makes almost like a U-turn.

The point in which the parabola (as mentioned before) changes direction is called the vertex.

Specifically, y = x^2 -5x-6 has exactly 2 solutions. This means that there are 2 different possible answers to this equation.

The solutions, or roots, to this equation are x= 6 and x= -1.

If you look at the graph for this equation, the parabola opens upwards like a U, and the vertex is ( 5/2, -49/4).

Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .

[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.

Here, is a difference of 1 in 5 and 4.

From the graph it seems to be around the area of 10%.

So,

18,000 * 0.10 = $1,800

Answer:

N-8

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

the answer is 81, just out this in the solution

Answer:

81

Step-by-step explanation:

29-2=27

27*3=81

if we divide 81 by 3 we get 27 and 27 plus 2 is 29 so it is 81

Answer:

(a-3)(a+3) is the answer

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {55}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {a}^{2} - 9[/tex]

Substituting the value "[tex]a = 8[/tex]" in the above expression, we have

➺ [tex] \: {8}^{2} - 9[/tex]

➺ [tex] \: (8 \times 8) - 9[/tex]

➺ [tex] \: 64 - 9[/tex]

➺ [tex] \: 55[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

A. 4:5

B. 600 girls

Step-by-step explanation:

A. g : b = 12 : 15 = 4 : 5

B. the numbers of girls = 4/(4+5) × 1350

= 4/9 × 1350 = 600

Answer:

22, 25, 28, 31

Step-by-step explanation:

Note there is a difference of + 3 between consecutive terms , then

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28

28 + 3 = 31

Answer:

23,26,29,33

Step-by-step explanation:

There is a +3 diffierence in between the terms. to find the next four terms you just have to keep adding 3 to the lastest term.

If this helps you, please give brainliest.