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3 years ago

What is the 40th term of the arithmetic sequence? 21, 18, 15, 12, 9,...

Mathematics

1 answer:

shusha [124]3 years ago

8 0

Answer:

-96

Step-by-step explanation:

it follows a 21 - 3(n -1) sequence, so 21 - 3(39) = -96

3 is being subtracted (n-1) times, where n is the term number.

it starts with 21, so we have 21 - 3(n -1).

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Explain the difference between 10°C and -10°C on a Thermometer

Lana71 [14]

Answer:

10°C is above ice point while -10°C is below ice point

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3 years ago

What are the steps to answer 6x-2=-4x+2

777dan777 [17]

Answer: $x=2/5$ or $x=0.4$

Simplify the equation to the form

$6x-2=-4x+2$

Move all terms containing x to the left and all other terms to the right

$6x+4x=+2+2$

Simplify left and right side of the equation

$10x=+4$

Divide both sides of the equation by 10 to get x

$10x/10=4/10$

$x=2/5$ or $x=0.4$

6 0

4 years ago

Read 2 more answers

I have a 3 tier cake and each layer is 10 1/2 inches tall how many inches tall is the entire cake

pickupchik [31]

Answer:

31.5 inches

Step-by-step explanation:

7 0

4 years ago

A tree's shadow is 4.8 meters long on level ground, as shown. The angle of elevation from the tip of the shadow to the sun is 50

photoshop1234 [79]

Answer:

Step-by-step explanation:

tan(50)=x/4.8

then

4.8 times Tan(50)

equals

5.7

8 0

3 years ago

(1−√(5))×(2−√(5)) <img src="https://tex.z-dn.net/?f=%281%20%2B%204%20%5Csqrt%7B10%7D%20%29%282%20-%20%20%5Csqrt%7B10%7D%20%2

Leviafan [203]

To simplify these expressions, you can either use a calculator (which I'm assuming your teacher doesn't want you to do) or FOIL (distribute).

The first one would be:

$(1- \sqrt{5}) (2- \sqrt{5}) \newline =(1)(2)+(1)(- \sqrt{5} )+(- \sqrt{5})(2)+(- \sqrt{5})(- \sqrt{5}) \newline =2- \sqrt{5}-2 \sqrt{5}+5 \newline =7-3 \sqrt{5}$

The second one would be:

$(1+4 \sqrt{10})( 2- \sqrt{10}) \newline =(1)(2)+(1)(- \sqrt{10})+(4 \sqrt{10} )(2) +(4 \sqrt{10})(- \sqrt{10}) \newline =2-\sqrt{10}+8 \sqrt{10} -40 \newline =-38+7 \sqrt{10}$

3 0

3 years ago