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Annette [7]
4 years ago
9

What is the missin

1" title="(6 _(_? _) ) _{-4} = 6_2_0" alt="(6 _(_? _) ) _{-4} = 6_2_0" align="absmiddle" class="latex-formula">g exponent
Mathematics
1 answer:
Mademuasel [1]4 years ago
3 0

\left(6^{a}\right)^{-4}=6^{20}\\\\6^{-4a}=6^{20}\\\\-4a=20\\\\a=\dfrac{20}{-4}=-5

The missing exponent is -5.

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A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number​
Juliette [100K]
The number is 63, so the quotient is 2.

Two digit numbers divisible by 21:
21, 42, 63, 84

21: 2-1 = 1 * 3.5 = 3.5
3.5*2*1 = 7 but 7 does not equal 21

42: 4-2 = 2 * 3.5 = 7
3.5*4*2 = 28 does not equal 42

63: 6-3 = 3*3.5 = 13.5
3.5*6*3 = 63 :)

Check:
21(6-3)=21(3)= 63 :)
3.5(6)(3) = 21(3) = 63 :)

63: 6/3 = 2
3 0
3 years ago
List 2 things that are<br> special about the red<br> line.<br> 1
NikAS [45]
Can you show the line please
7 0
3 years ago
22. “n is less than 15 and greater than or equal to 3”
drek231 [11]

Answer:

3 ≤ n < 15

  1. not n
  2. not n
  3. yes n
  4. yes n
  5. yes n
  6. yes n
  7. yes n
  8. yes n
  9. yes n
  10. yes n
  11. yes n
  12. yes n
  13. yes n
  14. yes n
  15. not n

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

6 0
4 years ago
Find anequation for the perpendicular bisector of the line segment whose endpoints are(3, -1) and (-9,5).
Mariulka [41]

The perpendicular bisector goes through the midpoint.

What is the midpoint of the 2 points?

We simply add up the x points and divide by 2. Then we add up the y points and divide by 2.

So,

Midpoint is:

(\frac{3-9}{2},\frac{-1+5}{2})=(-3,2)

Also, the perpendicular bisector's slope is the negative reciprocal of the line's slope.

The slope of the line is change in y points divided by change in x points.

Slope =

\frac{5--1}{-9-3}=\frac{5+1}{-12}=\frac{6}{-12}=-\frac{1}{2}

The slope (m) of the perpendicular line (negative reciprocal) is basically:

2

Equation of line is:

y-y_1=m(x-x_1)

m is the slope (what we got "2")

x1 and y1 are the respective point where it passes through (which is the midpoint, which is (-3,2)

So, equation of perpendicular bisector is:

\begin{gathered} y-y_1=m(x-x_1) \\ y-2=2(x+3) \\ y=2x+6+2 \\ y=2x+8 \end{gathered}

4 0
1 year ago
A pharmacist is filling small empty bottles with cough syrup from a larger bottle. He can solve the inequality to find the numbe
sammy [17]

Answer:

1000 -25x >250.

Step-by-step explanation:

Let us assume the capacity of a large bottle = 1000 ml.

And the capacity of each small bottle = 25 ml.

Reaming milliliters in large bottles = 250 milliliters.

Number of bottles = x bottles.

The total capacity of the large bottle - capacity of a small bottle × number of bottles > Remaining milliliters in a large bottle.

Therefore, we can set up an inequality.

1000 - 25 × x > 250.

1000 -25x >250.

4 0
4 years ago
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