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3 years ago

5

-7/10 divided by 2/5 in it's simplest form

1 answer:

sergey [27]3 years ago

5 0

The answer is -1 and 3/4

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Write the explicit formula for the geometric sequence.<br><br> a1 = -5 a2 = 20 a3 = -80

Anni [7]

$a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}$

6 0

3 years ago

Calculate The mode of this set of numbers 2,5,1,6,3,8,5,9,2,4,7

koban [17]

The mode is 5 & 2 because they both appear the most and the same amount of times that’s why they’re both the mode.

4 0

3 years ago

Half the difference of a number and 18 is equivalent to -25. find the number

KonstantinChe [14]

Answer:

Hi there!

Your answer is:

the number is 68

Step-by-step explanation:

(18-n) /2 = -25

×2

(18-n) = -50

-18

-n = -68

/-1

n= 68

Plug it back in!

(18-68) /2 = -25 ???

-50/2 = -25 ✓✓✓

Hope this helps

3 0

3 years ago

Solve.<br><br> 5=1/5x−3<br><br> Enter your answer in the box.<br><br> x =

FrozenT [24]

You must multiply 5x-3 with 5, then you will get

25x-15 = 1
25x = 1+15
25x = 16
$x = \frac{16}{25}$
x = 0.64

3 0

3 years ago

Read 2 more answers

What is the radius of a circle whose equation is x2 y2 8x – 6y 21 = 0?

andrew11 [14]

we know that

the standard form of the equation of the circle is

$(x-h)^{2} +(y-k)^{2}=r^{2}$

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$x^{2} +y^{2} +8x-6y+21=0$

<u>Convert to standard form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$(x^{2}+8x) +(y^{2}-6y)=-21$

Complete the square twice. Remember to balance the equation by adding the same constants to each side.

$(x^{2}+8x+16) +(y^{2}-6y+9)=-21+16+9$

$(x^{2}+8x+16) +(y^{2}-6y+9)=4$

Rewrite as perfect squares

$(x+4)^{2} +(y-3)^{2}=4$

$(x+4)^{2} +(y-3)^{2}=2^{2}$

the center of the circle is $(-4,3)$

the radius of the circle is $2\ units$

therefore

<u>the answer is</u>

the radius of the circle is $2\ units$

8 0

3 years ago

Read 2 more answers