Answer: [tex]2c^9[/tex]
Step-by-step explanation:
I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]
[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)
[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)
[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]
[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Common factors (terms that are in all expressions):
[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Simplify:
[tex]2c^9[/tex]
Which equation is modeled on the number line below?
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!
Good morning! May somebody help me as soon as possible? Like ASAP ASAP possible
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]
Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.
What is the measurement of AB?
Which of the following is NOT an equivalent expression for the confidence interval given by 161.7
Choose the correct answer below.
O A. 161.7 +27.8
B. 175.6 -13.9
O C. 175.6 + 13.9
OD. (161.7.189.5)
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
Nam
20. Carol bought 5 pork chops and 3 steaks.
Each pork chop weighed 0.32 pound
and each steak weighed 0.8 pound. How
Temand
many pounds of meat did Carol buy in
telall?
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.
What is an expression?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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If it takes 7.1 pounds of seed to plant one acre of grass, how many acres can be planted with 7.81 pounds of seed?
Answer: make me brainlist
Step-by-step explanation: 1.1 x
Multiply. Write the answer in simplest form. 3/7 x 2 5/6
193/42
3×6+25×7÷4218+175÷42193/42pls help meee
6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?
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
Mary Alice is making a curtain for her kitchen window. She bought 2 1/12 yards of fabric. Her total cost was $16.
What is the COST PER YARD?
Answer:
7.68$
Step-by-step explanation:
2+(1/12)=2.08
16/2.08=7.68
Answer:
6.4
Step-by-step explanation:
What reaction did Pocahontas's people have to her helping the Jamestown colonists?
Answer:
They were very angry about her helping the colonists.
Step-by-step explanation:
What is the slope of the line?
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]
an object has a mass of 24 grams and a volume of 6cm3. what is the density
Answer:
4 grams
Step-by-step explanation:
The triangles pictured below are:
Congruent by AAS
Congruent by AAS
Congruent by HL
Congruent by HL
Congruent by SSS
Congruent by SSS
Congruent by SAS
Congruent by SAS
Congruent by ASA
Congruent by ASA
Not Congruent
Not Congruent IMAGE BELOW
Answer:
NOT CONGRUENT
Step-by-step explanation:
Angle Side Side doesnt work so it is not congruent
What are the consecutive numbers that follow the number 686
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, ...
Increasing y = - 12× + 4
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Please help me it's due in 5 minutes!! I will give brainliest!
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]
Evaluate the expression when c=4 and y=-4.
6(4) (-4)
Answer:
6×4×(-4)
24×(-4)
-96
Step-by-step explanation:
Hope it will help you...
Help help help help help help help math math
Answer:
Step-by-step explanation:
5x + 10 + 10x + 5 = 180
15x + 15 = 180
15x = 165
x = 11
help pls dawg i aint tryna get an F
Answer:
The answer is d hope this helps!!
Step-by-step explanation:
Divide by lomg division
y<-2/3 x-1 graphing the inequality
Answer:
y < − 2/3x − 1
Step-by-step explanation:
It’s number 5 what is the domain and range plz help urgent
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 :)
Miriam has 3 packages of pencils. Each
package has 6 pencils. She needs an
eraser for each pencil. How many erasers
will she need to buy?
Tell which OPERATIONS you will use. Then
solve the problem. (Very important).
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
Which item produces the magnetic field in the electromagnet?
A-paperclips
B- a switch
C-paint brushes
D- a magnet
Answer:
Its ethier a switch or magnet
2(7x-5)-6x+2=0 help me out
[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]
solve for x . Help me solve them
[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]
Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3
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
A catering company orders 150 lb of fresh clams for a banquet serving 100 people, and 30 lb of clams for dinner party of 20 people. Determine the standard number of clams per serving.
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.
Please help me!!! I will try to give brainliest
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
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
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.