Mr. blue's first year salary is $30,000 and it doubles each year. what is the explicit rule for the sequence in simplified form?

Answer: as a square and four semicircles

Step-by-step explanation:

The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to Find the Area of a Composite Figure:

To find the area of a composite figure, the first thing to do is to identify the individual shapes that make up the figure, then find the area of each shape before adding all the areas together.

For a composite figure that is comprised of a square and 4 semicircles, the composite figure would be decomposed into: a square and four semicircles.

Hence, The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

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Using proportions, it is found that 400g = 0.4kg of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges.

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

Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges. Hence, if there is 1 kg = 1000g of oranges, the weight of kiwi fruit is given by:

1000/2.5 = 400g = 0.4kg.

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Answer:

15

Step-by-step explanation:

f(X)= f(5)

meaning X= 5

x²-2x

5²-2(5) = 15

The function which is the vertex form of the equation whose first three steps shown in writing is  f(x)=5(x +4)²- 80.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

The first three steps in writing the function in vertex form are shown.

[tex]f(x) = 40x +5x^2[/tex]

Write the function in standard form.

[tex]f(x) = 5x^2+ 40x[/tex]

Factor out of the first two terms by taking out the common number 5 from the equation,

[tex]f(x) = 5(x^2 +8x)[/tex]

Form a perfect square trinomial with (8/2)² = 16,

[tex]f(x) = 5(x^2 +8x+ 16) - 5(16)\\f(x) = 5(x+4)^2 - 80[/tex]

Hence, the function which is the vertex form of the equation whose first three steps shown in writing is  f(x)=5(x +4)²- 80.

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Answer:

c

Step-by-step explanation:

Answer:

720cm^3

Step-by-step explanation:

The volume of the pyramid with a = 9cm, b = 15cm and l = 32cm is 720cm^3.

Answer:

720³ cm

The formula for volume is...

With that information, we should multiply the smaller numbers first.

[tex]B = \frac{1}{2} xy[/tex]

[tex]B = \frac{1}{2}(9)(15) = \frac{135}{2}[/tex]

[tex]V = \frac{1}{3} * \frac{135}{2} * 32 = 45 * 16[/tex]

[tex]V = 720^3~cm[/tex]

Hence, the volume is 720³ cm

Answer:

Step-by-step explanation:

→1.

Statement : AB ≅AD  (side)

Reason: Given

→2.

Statement : ∡BAC≅∡CAD  (angle)

Reason: Given

→3.

Statement : AC ≅AC  (side)

Reason: Reflexive Property -a side is congruent with itself

→

Statement : ΔABC ≅ΔADC

Reason: Side-Angle-Side Theorem of Congruency

(If two corresponding sides of two triangles are congruent and the corresponding angles between those two sides are congruent then the two triangles are congruent)

Answer:

500miles

Step-by-step explanation:

use the Pythagorean theory

Answer: 1.a equal 158 over 33 1.b equals 34 over 33

1.c equals negative 31 over 15

3.a equals 106 over 35

3.b equals negative 293 over 72 .

Step-by-step explanation: I am very sorry but I answered what I know . Hope it helps you . Sorryyy. Thanks . .

Answer: the prism has a surface area with 920

We will see that there are 847,660,528 different ways in which the copies can be stored.

So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.

Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:

[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]

This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.

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The shape represented by this solid figure attached is a triangular prism with two triangle base and three rectangular faces.

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by this solid figure attached is a triangular prism with two triangle base and three rectangular faces.

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Answer:

NY or MZ

Step-by-step explanation:

they are both outside of the parallel lines and on opposite sides of the transverse line

Answer:8

Step-by-step explanation: behind the x value (5) there are 2 ages that had a value. You add the two values (5+3) and you get 8.
Final answer is 8.

Answer:

232 in^2

Step-by-step explanation:

This rectangle has 6 surfaces:

Front: 10 x 8 = 80

Back: 10 x 8 = 80

Top: 10 x 2 = 20

Bottom: 10 x 2 = 20

Side: 8 x 2 = 16

Side: 8 x 2 = 16

Total surface area: 232 in^2

Circumference = 2× pie × r

Circumference = 6pie

Thus ;

2pie × r = 6pie

r = 3

____________________________________________

[tex]r = \frac{1}{2} \sqrt{ ({ - 6})^{2} + {2}^{2} - c} \\ [/tex]

[tex]3 = \frac{1}{2} \sqrt{ 36 + 4 - c} \\ [/tex]

[tex]6 = \sqrt{40 - c} [/tex]

[tex]( {6})^{2} = ({ \sqrt{40 - c} })^{2} [/tex]

[tex]36 = 40 - c[/tex]

[tex]c = 4[/tex]

Answer:

A = 201.5 m2

Step-by-step explanation:

[tex]A=76.5+65+60=201.5[/tex]

Hope this helps

Answer:

Place 2 X's above the 2 column, and Place 1 X above the 2 1/4 column, place 4 X's in the 2 3/4 column, place 2 X's in the 3 column,  place 1 X in the 3 1/4 column, and 1 X in the 3 1/2 column.

Step-by-step explanation:

The key with Line plots is to count the amount of that number. As you can see, there are 2 2's in the 2 columns, 2 3's in the three-column, and so on. And the three main steps of making a line graph are these:

1. Count the Number of what you have

2. Always give your graph a title

3. Keep your graph organized. An unorganized graph can cause confusion.

And you're done! I hope this helped!

Answer:

option c iscorrect

Step-by-step explanation:

Speed

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|~~~~~~~~~~~~

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|________________ position

Answer:

y=12

Step-by-step explanation:

[tex]slope=\frac{y2-y1}{x2-x1} \\-4=\frac{8-y}{3-2} \\-4=8-y\\y=8+4=12[/tex]

we know the base of the cone has a diameter of 6, thus its radius must be half that or 3.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=8 \end{cases}\implies \begin{array}{llll} V=\cfrac{\pi (3)^2(8)}{3}\implies V=24\pi \\\\\\ V\approx 75.4~in^2 \end{array}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The angle in a regular octagon =  180 - (360/8) = 135.

Using trigonometry  sin (135/2) = k/2 / EF

sin 67.5 = k / 2EF

2EF = k / sin 67.5

EF = k / 2 sin 67.5 = k/1.8478

Perimeter of octagon = 8 * k/1.8478

= 4.33k to the nearest hundredth.

[tex]~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\underset{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 6i-4j\\ 2i-6j \end{cases}\implies \stackrel{\qquad a~\hfill b\qquad }{\begin{array}{llll} < 6~~,~~-4 > \\ < 2~~,~~-6 > \end{array}}[/tex]

[tex]\stackrel{\textit{\Large dot product}}{ < 6~~,~~-4 > \cdot < 2~~,~~-6 > \implies (6\cdot 2)+(-4\cdot -6)}\implies 12+24\implies 36 \\\\\\ \stackrel{\textit{\Large magnitudes}}{|| < 6~~,~~-4 > ||\implies \sqrt{6^2+(-4)^2}\implies \sqrt{52}} \\\\\\ || < 2~~,~~-6 > ||\implies \sqrt{2^2+(-6)^2}\implies \sqrt{40} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right)\implies \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right) \\\\\\ \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{2080}} \right)\implies \measuredangle \theta \approx 37.9^o[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 48.06}}{\left( \cfrac{24}{100} \right)48.06}\implies 11.5344~\hfill \underset{total}{\stackrel{48.06~~ + ~~11.53}{\approx 59.59}}[/tex]

Answer:

59.59$

Step-by-step explanation:

24% of $48.06=11.5344

Total=11.5+48.06=$59.59

Answer:

PLEASE ATTACH THE FIGURE LIKE THIS.....

Answer:

2064

Step-by-step explanation:

18 + 21 + 24 + ...

This is an arithmetic series with first term 18 and common difference 3.

The nth term is

18 + 3(n - 1)

The 32nd term is the number of seats in the 32nd row:

18 + 3(32 - 1) = 18 + 3(31) = 18 + 93 = 111

The sum of the series is:

n/2(a + L) = (32/2)(18 + 111) = 2064

Answer:

16

Step-by-step explanation:

If x = 3, then all we must do is substitute.

y=7(3)-5

y= 21 -5

y= 16

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Hope I helped :)

Answer:

If you observer the value of x=0 and x=1, you can conclude that every 1 value of x increased,

the f(x) will be increased by 0.5. The graph function should be: 

f(x)= x/2A positive difference means that the value should be always positive.
To find 3 the positive difference of f(x) with 3 values of x apart, let use x=0 and x=0+3= 3. The difference would be:

f(x+3) - f(x)f(3)- f(0)=1.5 - 0= 1.5The answer would be: 1.5

points: (3, 7) and (-1, -1)

slope (m) :

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

========

[tex]\hookrightarrow \dfrac{-1-7}{-1-3}[/tex]

[tex]\hookrightarrow \dfrac{-8}{-4}[/tex]

[tex]\hookrightarrow 2[/tex]

Equation:

[tex]\sf y-y_1 = m(x-x_1)[/tex]

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

[tex]\rightarrow \sf y-7 = 2(x-3)[/tex]

[tex]\rightarrow \sf y = 2x-6+7[/tex]

[tex]\rightarrow \sf y = 2x+1[/tex]

Answer:

[tex]y = 2x- 1[/tex]

Step-by-step explanation:

To determine which equation passes through the points (3, 7) and (-1, -1), we need to determine the slope of the equation. Then, we shall use point slope form to determine the equation of the line.

Determining the slope of the line:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run} } =\dfrac{\text{y}_{2} - \text{y}_{1} }{\text{x}_{2} - \text{x}_{1} }[/tex]

Substituting the points in the slope formula:

[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]

Simplifying the slope:

[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]

[tex]\text{Slope} =\dfrac{-8}{-4 } = 2[/tex]

Determining the equation of the line:

We shall use point slope form to determine the equation of the line.

[tex]\text{Point slope form:} \ y - y_{1} = m(x- x_{1} )[/tex]

Substitute the slope and the coordinates of any two points stated above.

[tex]y -7= 2(x- 3 ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using the point (3,7)}][/tex]

Simplify the equation and organize it to slope intercept form:

[tex]y -7= 2x- 6[/tex]

[tex]y = 2x- 6 + 7[/tex]

[tex]y = 2x+ 1[/tex]

We will see that the length of the browser window is 4.9 inches, and the screen is a square of sidelength 10.2 in

We know that the area of the browser window is 24 in^2, we will assume that the window is a perfect square, then the area is equal to the square of the length x, we have:

x^2 = 24 in^2

x = √(24 in^2) = 4.9 in

We know that the browser covers 3/13 of the screen, so the area of the screen is 13/3 times the area of the browser:

A = (13/3)*24 in^2 = 104 in^2

Again, if the screen is square of sidelength s, we have:

s^2 = 104 in^2

s = √(104 in^2)  = 10.2 in

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