12.3 Write the first five terms of the sequence whose general term is [tex]a_{n}=3^{n}+4[/tex] .

Answer: 21

Step-by-step explanation:

The measure of the tangent to the circle CD = 21

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the 2 tangents to the circle be AE and BD respectively

The measure of the line segment BD = 56

Now , the ratio of the line AE is

AC : AE = 5 : 3

The measure of AE = measure of CD

Let the value of AC = 5x

Let the value of AE = 3x

Now , the measure of AE = measure of BD

Substituting the values in the equation , we get

5x + 3x = 56   be equation (1)

On simplifying the equation , we get

8x = 56

Divide by 8 on both sides of the equation , we get

x = 7

Now , the measure of CD = 3x

Substituting the value of x in the equation , we get

CD = 3 ( 7 ) = 21

Therefore , the measure of CD = 21

Hence , the measure of CD = 21

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:1.  72.5

Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5

number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320

Total apples.

Total oranges

Total peaches

Total fruits

Answer:

130

Step-by-step explanation:

We have given in the question 'she put 10 apples into each of 4 baskets.

we have to Multiply 10 with 4

=> 10 × 4

=> 40 Apples

Similarly, in the case of oranges we have to Multiply 10 with 3

=> 10 × 3

=> 30 Oranges

Same method will be followed to find the number of peaches that she picked .

=> 12 × 5

=> 60 Peaches

Total fruits Amber picked = Number of apples + Number of oranges + Number of peaches

=> Total fruits = 40 + 30 + 60

=> Total Fruits = 130 .

Answer:

720

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

We must equate f(x)=g(x) ;

x+3=2x^2-3

2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:

x=2, x=-1.5

Since -1.5 is not seen in the table, we consider the value 2.

At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.

Answer:

x = 2

Step-by-step explanation:

Given:

f(x) = |x| + 3

g(x) = 2x² - 3

From inspection of the table, the equation f(x) = g(x) has a solution when

x = 2 as this is the only value of x when the two functions have the same value of 5.

See attached graph for proof.  The points of intersection are the solutions:  (-2, 5) and (2, 5).  (Since x = -2 is not in the given table, this is not included in the answer to this question).

Answer:

2 and 3

Step-by-step explanation:

[tex]3*2=6\\3+2=5[/tex]

Answer:

Angle VSR = 135 degrees.

Step-by-step explanation:

since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.

Answer:

9 sections

Step-by-step explanation:

We can find the number of section by dividing the total number of CDs by the number of CDs that each case holds.

    [tex]\sf \text{Number of CDs =$\dfrac{36}{4}$}[/tex]

                              = 9

Using the corresponding angles theorem, the value of x is 150°

From the question, we are to determine the value of the angle marked x°

From the diagram,

The angle that supplements the angle marked 30° is corresponding to angle x

Since corresponding angles are equal

Then, we can write that

∴ x = 180° - 30°

x = 150°

Hence, the value of x is 150°

Learn more on Calculating measures of angles here: https://brainly.com/question/11726925

#SPJ1

54

Step-by-step explanation:

Find the area of on side of the cube...it's a cube so all sides are the same

3x3=9

multiply the area of one face by the number of faces, 9x6=54

The situation in which the linear function y = 5x + 10 can be applied is given by:

C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips.

A linear function is modeled by:

y = mx + b

In which:

In this problem, we want a function with a slope of 5(rate of change), and an y-intercept of 10(initial quantity), hence option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

4/9 = 0.4 with a line over the 4

Step-by-step explanation:

Answer:

C. 4/9

Step-by-step explanation:

On dividing 4/9 :

Option C gives the right answer.

Your answer is 62.8

Have a good day

Answer:

see the attachment.

the answer is $ 32. 40/ Year

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

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

where,

Now, let's put in the values ~

[tex]\qquad \sf  \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

Answer: H

Step-by-step explanation:

Answer:

97%

Step-by-step explanation:

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        What is the circumference of a circle with a radius of 3 and a diameter of 14?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]

First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).

Now, we substitute 6 (3•2) for d:-

[tex]\sf{C=\pi *6}[/tex]            [π=3.14]

[tex]\bigstar[/tex]On simplification,

[tex]\sf{C=3.14\times6}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\sf{C=18.84\:cm}[/tex]

                 [tex]\rule{200}{2}[/tex]

Now, let's find the circumference of a circle whose diameter is 14:

[tex]\sf{C=\pi d}[/tex]

Substitute 14 for d:-

[tex]\sf{C=14\pi }[/tex]                   Next, substitute 3.14 for pi:-

[tex]\sf{C=14\times3.14}[/tex]

[tex]\bigstar[/tex] Which results in:-

[tex]\sf{C=43.96\:units}[/tex]

         [tex]\rule{290}{2}[/tex]

Answer:

-2/3

Step-by-step explanation:

[tex]= 1 \frac{2}{3} - 2 \frac{1}{3}\\=\frac{1 * 3 + 2}{3} - \frac{2 * 3 + 1}{3} \\= \frac{5}{3} - \frac{7}{3}\\ = \frac{5 - 7}{3} \\\\= \frac{-2}{3}[/tex]

Answer:

[tex]||v||\approx7.28[/tex]

Step-by-step explanation:

Sum of the vectors

[tex]\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle[/tex]

Magnitude of the resultant vector

[tex]||v||=\sqrt{x^2+y^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}\approx7.28[/tex]

Answer:

280 seats

Step-by-step explanation:

40*7 = 280

Answer:

18

Step-by-step explanation:

The total pipe used for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

Michael glues pipe cleaners around the edges of a rectangular poster. He uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

Total pipe Michael uses = 14

He used a total of 5 pipe cleaners on each long side.

Total pipe cleaner on two long sides = 5×2 = 10

The pipe used on shorter side = 14 - 10 = 4

Total pipe for each of the shorter sides of the poster = 4/2 = 2 pipes

Thus, the total pipe for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

Answer:

The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

you can use pi r^2

The equivalent to the length of the string in meters is 14 / 5 meters

The length of the string is expressed in a mixed fraction form.

length of the string = 2 16 / 20

let's express it in a simplified form. This is usually in an improper fraction form.

Therefore,

2 16 / 20 = 56 / 20

Hence,

56 / 20 = 14 / 5 meters

learn more on length here:https://brainly.com/question/22552981

#SPJ1

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

          Which expression has least value when x=100?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

Substitute 100 for x and solve:-

[tex]\bold{\dfrac{1}{100}}[/tex]

[tex]\bold{\dfrac{10}{100}}[/tex]

[tex]\bold{1-100=-99}[/tex]

[tex]\bold{10-100=-90}[/tex]

Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - [tex]\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark[/tex]

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

Answer:

13

Step-by-step explanation:

13 will go inside this box  

Answer:

13

Step-by-step explanation:

Finding Upper Quartile (Q₃)

Finding Lower Quartile (Q₁)

Interquartile Range = Q₃ - Q₁