Find the 43rd term of each sequence.
1. 21,12,9,3,...

Answer:

3

Step-by-step explanation:

you said it

Answer:

The exponential funtion is "height(n) = 77*(0.9925)^n". After 15 years he is 68.7778 inches.

Step-by-step explanation:

Since Tom's initial height is 77 inches. After one year:

height(1) = 77*(1 - 0.0075) = 77*0.9925

After two years:

height(2) = height(1)*(0.9925) = 77*0.9925*(0.9925) = 77*(0.9925)²

After three years:

height(3) = height(2)*0.9925 = 77*(0.9925)²*0.9925 = 77*(0.9925)³

And so on, therefore the expression that represents his height is:

height(n) = 77*(0.9925)^n

Where n is the number of elapsed years. For 15 years we have:

height(15) = 77*(0.9925)^(15) = 68.7778 inches

The exponential funtion is "height(n) = 77*(0.9925)^n". After 15 years he is 68.7778 inches.

Answer:

39

Step-by-step explanation:

I'm assuming x is supposed to be a multiplication sign.

You need to use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(9x2+3x-5)-(3x2+4x-10)=

(18-15)-(6-40)=

3-(-36)=

3+36=

39

Answer:

GCF = x+3

Step-by-step explanation:

(6x+18)/(x^2-x-12) = 6 (x+3)/(x^2 +3x - 4x -12)

                            = 6(x+3)/( x(x+3) - 4(x+3) )

                            = 6(x+3)/( (x-4)(x+3) )

The greatest common factor (GCF) of the numerator and denominator of the rational expression [tex]\frac{(6x+18)}{(x^2-x-12)}[/tex]  is (x + 3) .

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.  

According to the question

The rational expression :

[tex]\frac{(6x+18)}{(x^2-x-12)}[/tex]

The greatest common factor (GCF)  of the numerator and denominator

Step 1 : We take out factors of numerator

(6x+18) = 6 (x + 3)

Step 2 : Then we take out  factors of denominator

[tex](x^2-x-12)[/tex] = x² - (4-3)x - 12

                    =  x² - 4x + 3x - 12

                    =  x (x - 4) + 3(x - 4)

                    = (x + 3) (x - 4)  

Now , The greatest common factor (GCF)  of the numerator and denominator is  (x + 3)  which is present in both .

Hence, the greatest common factor (GCF) of the numerator and denominator of the rational expression [tex]\frac{(6x+18)}{(x^2-x-12)}[/tex]  is (x + 3) .

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Answer:

7 km

Step-by-step explanation:

If I subtracted 18km by 11km my answer would be 7km

Answer:

21.1 km

Step-by-step explanation:

The northeast line and the southeast line will make a right angle so use the Pythagorean Theorem: a^2 + b^2 = c^2 and calculate c.

18² + 11² = c²

324 + 121 = c²

445 = c²

c = 21.1 km

Answer:

nope sorry

Step-by-step explanation:

idk

the peripherals are the same with the numerators acting the quotient

I guess the answer should be 177.8 cm.

The measurement of 5 feet 10 inches to centimeters​ is 175 centimeters.

Units of measurement are defines ad the definite magnitude of a physical quantity. It is used to find a number that shows the amount of something.

Here we have to convert the units of measurement feet and inches to centimeters.

We have,

1 foot = 12 inches and 1 inch = 2.5 centimeters

We have to change 5 feet 10 inches to centimeters​.

1 foot = 12 inches

⇒ 5 feet = 12 × 5 inches

              = 60 inches

So, 5 feet 10 inches = 60 inches + 10 inches

                                 = 70 inches

1 inch = 2.5 centimeters

70 inches = 70 × 2.5 centimeters

                 = 175 centimeters

Hence we got 5 feet 10 inches as 175 centimeters.

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Answer:

7 x10^6

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

1/6 Doubled is 2/6

Simplified

1/3

Answer:

9:13

Step-by-step explanation:

Answer:

x is 24 degrees

Answer:

x = 24

Step-by-step explanation:

I'm 8 years old and I know how to do this.

The sum of interior angles of a quadrilateral is 360°

The sum of a supplementary angle is 180°

180 - 111 = 69

94 + 41 + 69 + a = 360

204 + a = 360

a = 156

156 + x = 180

x = 24

Answer:

5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right

Step-by-step explanation:

4/5= 48/60

5/12 =  25/60

25/60-48/60= -23/60

Answer:

A

Step-by-step explanation:

The answer is A I hope it helped!

Answer:

the answer is d

Step-by-step explanation:

because this would give her more widen answer and selection

Answer:

The answer is 4^2 (-16)

Step-by-step explanation:

Answer:

135.00 multiplied by .30% will be 40.5

Answer:

You can also calculate how much you save by simply moving the period in 30.00 percent two spaces to the left, and then multiply the result by $135 as follows: $135 x . 30 = $40.50 savings. Furthermore, you can get the final price by simply deducting .

Step-by-step explanation:

Answer:

The value of x is 56°

Step-by-step explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :

[tex]97 + x + 27 = 180[/tex]

[tex]x + 124 = 180[/tex]

Next you have to solve it by substracting 124 to both sides :

[tex]x + 124 - 124 = 180 - 124[/tex]

[tex]x = 56[/tex]

Answer:

25in²

Step-by-step explanation:

a cube has 6 faces

all of these are equal

therefore you need to divided 150 by 6

that's 25

the answer is 25 in²

Answer:

B

Step-by-step explanation:

Answer:

15 is a less than 16

Step-by-step explanation:

Answer:

What are the choices??

Step-by-step explanation:

Answer: 1/4a - 1/6b + 1/10c

Hope this helped! Have a great rest of your day :)

Answer:

A the first option

Answer:

The Pythagorean theorem works only on right triangles. Also it is used to find the hypotenuse when you know 2 other sides.

Step-by-step explanation:

Answer: The Pythagorean Theorem is a formula used to find the hypotenuse (the value of C2).

Step-by-step explanation: That formula is A2 + B2 = C2. Right Triangles are the only triangles that relate to the Pythagorean Theorem.

Answer:

5

Step-by-step explanation:

(125) ^ (1/3)

What number times itself times itself =125

a*a*a =125

5*5*5 = 125

Answer:

....

Step-by-step explanation:

using pythagoras :

[tex] \sqrt{ {6}^{2} + {5}^{2} } = \sqrt{61} [/tex]

Answer:

C. [tex]\sqrt{61}[/tex]

Step-by-step explanation:

The answer is [tex]\sqrt{61}[/tex]

Answer: A

Step-by-step explanation: Point A plots all the points needed.

Answer:

Numbro 1

Step-by-step explanation:

I took the test on edgn

Answer:

11.66

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

6^2+10^2=c^2

36+100= c^2

sqrt(136)= sqrt(c)

c= 11.66

Answer:

49 cm²

Step-by-step explanation:

The area for a square is Area = length x width, and if the square name tag is 7cm long on "each side", that means that both the length and the width are 7cm.

Plug this into the formula to get A = 7cm x 7cm.

This can be simplified to A = 49cm².

Answer: 49 cm^2

Step-by-step explanation:

7 x 7 = 49

Answer:

Step-by-step explanation:

base b = 11 cm

Height h = 6 cm

[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]

= 11 * 3

= 33 cm²

Answer:

33 cm squared

Step-by-step explanation:

A = 1/2bh

A = 1/2 (11) (6)

A = 1/2 (66)

A = 66/2

A = 33

Answer:

the answer would be 2mm^2

Answer:

2

Step-by-step explanation:

Triangle Area Formula: (b*h)/2

B: 8

H: 2/4= 1/2=0.4

8*0.5/2= 2

Area ofthe triangle= 2