Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9

[tex]\\(1).\\\\(1.7898)^{2x} = (1.7898)^6\\\\\implies \ln(1.7898)^{2x} = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \dfrac 62 =3\\\\(3).\\\\2^{5x -6} = 4^{x+9}\\\\\implies 2^{5x -6} = (2^2)^{x+9}\\\\\implies 2^{5x-6} = 2^{2x+18}\\\\\implies \ln(2^{5x-6}) = \ln(2^{2x+18})\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \dfrac{24}3 =8[/tex]

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

you will use multiplication

3(packages of pencils)×6(pencils)=18pencils

so she will need 18 erasers for each pencil

Answer:

23 measure

Step-by-step explanation:

because 56/7 = 8

so 104/8=23

Answer:

13 measures

Step-by-step explanation:

for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.

Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.

104 ÷ 8 = 13

[tex]2(7x-5)-6x+2=0\\\\\implies 14x -10 -6x +2=0\\\\\implies 8x -8 =0\\\\\implies 8(x-1) =0\\\\\implies x -1 =0\\\\\implies x =1[/tex]

Answer:

6×4×(-4)

24×(-4)

-96

Step-by-step explanation:

Hope it will help you...

Answer:

[tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

Pick two points on the graph: (4, -5) and (1, -3)

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]

[tex] = \frac{ - 5 + 3}{3} [/tex]

[tex] = - \frac{2}{3} [/tex]

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Answer:

[tex]110 + 11w[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]11(10 + w)[/tex]

[tex](11 * 10) + (11 * w)[/tex]

[tex]110 + 11w[/tex]

Answer:  [tex]110 + 11w[/tex]

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

193/42

Answer:

7.68$

Step-by-step explanation:

2+(1/12)=2.08

16/2.08=7.68

Answer:

6.4

Step-by-step explanation:

Answer: Carol bought 4 pounds(lb) of meat.

Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.

The weight of the meat bought by Carol is 4 pounds.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.

The weight of the meat will be calculated as:-

0.32 x 5 = 1.60,

0.8 x 3 = 2.40,

Total weight,

1.60 + 2.40 = 4 pounds

Therefore, the weight of the meat bought by Carol will be 4 pounds.

To know more about an expression follow

https://brainly.com/question/11541401

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Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...

Answer:

Its ethier a switch or magnet

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

Answer:

i hope you'll understand

Step-by-step explanation:

[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]

Answer: make me brainlist

Step-by-step explanation: 1.1 x

According to the confidence interval given, the non-equivalent expression is:

A. [tex]161.7 \pm 13.9[/tex]

The interval given is:

[tex]161.7 \leq \mu \leq 189.5[/tex]

Which can also be written as: (161.7.189.5)

The point estimate is the halfway point of the interval, hence:

[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]

The margin of error is half the difference of the bounds, hence:

[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]

According to the point estimate and to the margin of error, the interval can also be written as:

[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]

[tex]175.6 \pm 13.9[/tex]

Hence, the only expression which is non-equivalent is:

A. [tex]161.7 \pm 13.9[/tex]

You can learn more about confidence intervals at https://brainly.com/question/25779324

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent

Answer:

A

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

Answer:

about two clams per person

Step-by-step explanation:

Answer:

It is 1.5 lb per serving.

Step-by-step explanation:

Well, this is just a matter of proportions.

Here is our current proportion:

150lb

---------

100 guests

Now, all we need to do is make it per one guest.

150lb     =      x lb

-----------      ---------------

100 guests = 1 guest

Now, to get from 100 to 1, I divided by 100, right?

So, because this is a ratio, and it needs to be proportional, we do the same for 150.

150/100=1.5.

It is 1.5 lb per serving.

Answer:

Domain: -2,-1,0,3 Range: -2,-1,0,3

Step-by-step explanation:

The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)

Answer:

y=1/3x-8

Step-by-step explanation:

The slope intercept form of a line is y=mx+b

m stands for slope and b stands for y intercept

So ... simply put 1/3 in for m and -8 in for b

Answer:

The answer is d hope this helps!!

Step-by-step explanation:

Divide by lomg division

Answer:

4 grams

Step-by-step explanation: