Which of the following correctly factors the expression −20x+4y−2?
A
4(−5x+4y+2)
B
2(−10x+2y−1)
C
−2(10x+2y+1)
D
−20(x−4y+2)
9514 1404 393
Answer:
B 2(−10x+2y−1)
Step-by-step explanation:
The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.
2(-10x +2y -1)
__
You could factor out -2. Doing that would give ...
-2(10x -2y +1) . . . . . . . doesn't match choice C
6/4 on a number line
Answer:
Here plz leave review thx
Step-by-step explanation:
Round 0.00359 to the nearest ten-thousandth.
Answer:
0.0036 !
Step-by-step explanation:
Give brainliest please :)
0.00359, when rounded to nearest thousandth results in 0.0036.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.
Given, value to be rounded is : 0.00359
Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)
Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.
Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.
Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036
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Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...
(20×19×18)/(3×2×1) = 1,140
There are easily enough different combinations of 3 students to have a different combination each day.
_____
Additional comment
The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...
nCk = n!/(k!(n-k)!)
I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
Create (or find) mathematical examples of the following;
1. Equation
2. Expression
3. Slope-Intercept Form
4. Slope Formula
5. Scientific Notation
6. Point-Slope Form
Answer:
Equation
2+5=9
Other i don't know
Graph the linear equation. X = - 4y
Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36
Answer: A 2-column table with 3 rows.
Step-by-step explanation:
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
Suppose that the price p (in dollars) and the demand x (in thousand of units) of a commodity satisfy the demand equation 6p+x+xp=94
How fast is demand changing when the price is set at $9 and the price is rising at the rate of $2 per week?
dx/dt
=
The demand is decreasing at the rate of _________units per week.
The demand is decreasing at the rate of 2units per week.
Given the price p (in dollars) and the demand x (in thousands of units) of a commodity satisfy the demand equation 6p+x+xp=94
Differentiating the function with respect to time will result in;
[tex]6\frac{dp}{dt}+\frac{dx}{dt} + x \frac{dp}{dt} + p\frac{dx}{dt} = 0[/tex]
Given the following paramters
p = $6
dp/dt = $2/wk
Substitute the given parameters into the formula to have:
[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0[/tex]
To get the demand x, we will simply substitute p = 9 into the expression to have:
6(9)+x+9x=94
10x+54 = 94
10x = 94 - 54
10x = 40
x = 4
Substitute x = 4 into the derivative to have:
[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 2(4) + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 8 + 9\frac{dx}{dt} = 0\\20 + 10\frac{dx}{dt} =0\\10\frac{dx}{dt} =-20\\\frac{dx}{dt} =\frac{-20}{10}\\\frac{dx}{dt} =-\$2/wk[/tex]
Hence the demand is decreasing at the rate of 2units per week.
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Create 2 equations that are equivalent to 3x - 12 = 24
Answer:
1st equation: 3(12) - 12 = 24
2nd equation: 36 - 12 = 24
Answer:
3(12) - 12 = 24
Step-by-step explanation:
Solve: (4x^2-3x+7)-(x^2+8x-5)
Given polynomial:
(4x²-3x+7) - (x²+8x-5)
⇛ 4x²-3x+7-x²-8x+5
⇛ (4x²-x²) +(-3x-8x)+(7+5)
⇛ (4-1)x²+(-3-8)x+12
⇛ 3x²+(-11)x+12
⇛ 3x²-11x+12
(4x²-3x+7) - (x²+8x-5) = 3x²-11x+12Note:-
When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.
Read more:
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. 8x2 - 50 A) 2(4x - 5)(x - 5) B) 2(2x - 5)(2x - 5) C) 2(2x + 5)(2x + 5) D) 2(2x - 5)(2x + 5) 4) Which binomial is a factor of the polynomial? 3x2 + 7x + 2 A) (...
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Answer:
[tex]3x^2-11x+12[/tex]
Step-by-step explanation:
First, distribute the negative:
[tex]4x^2-3x+7-x^2-8x+5[/tex]
Then combine like terms:
[tex]3x^2-11x+12[/tex]
Can someone explain it step by step ?
Answer:
1. (x - 1) × (x + 3)
2. x = 3 and y = -2
Step-by-step explanation:
x² + 2x - 32x + 3y = 0; y = 3x - 11rewrite the equation:
y = 3x - 11; 2x + 3y = 0
solve y = 3x - 11 for the y:
y = 3x - 11
substitute 3x - 11 for y in 2x + 3y = 0;
2x + 3y = 0;
2x + 3y = 0
2x + 3 (3x - 11) = 0
11x - 33 = 0 (simplify both sides of the equation)
11x - 33 + 33 = 0 + 33 (add 33 to both sides)
11x = 33
11x/11 = 33/11 (divide both sides by 11)
x = 3
subtitute 3 for x in y = 3x - 11
y = 3x - 11
y = (3)×(3) - 11
y = -2
I showed one equation because the other is self explanatory, hope this helps.
which equation is the inverse of y=7x^2-10
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?
Answer:
80 dollars is the correct answer
Answer:
Step-by-step explanation:
1050=1000(1+.5*i)
i= 10%
The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12
Answer:C.5
Step-by-step explanation:
Jasmine ran 5 miles in 42 minutes
Answer:
5 divided by 42 is 0.11 repeating
Step-by-step explanation:
The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)
Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].
Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.
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Ahh can someone helpppp
O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?
Answer:
$4
Step-by-step explanation:
i know this because i passed collage last year
F=8
e=0.2
When F=25 find x
Answer:
0.625
Step-by-step explanation:
hope it can help you lovelots
An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.
Answer:
The length of the leg is 4.2 units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
P= ?????????
Pls help and explain
Check the picture below.
Tp 3 Work Backwards
1. Bowser, Abby, and Chuckles are 3 dogs with a
combined age of 44. Bowser is 6 years older than
Abby. Abby is 2 years younger than Chuckles, c.
Which expression could be used to find the age of
Chuckles?
Answer:
Your equation option is possibly in here somewhere.
Step-by-step explanation:
A = C - 2
B = A + 6 → A = B - 6
C - 2 = A = B - 6 → B = C + 4
44 = C + B + A
44 = C + (C + 4) + (C - 2)
44 = 3C + 2
42 = 3C
C = 7
Please help!!
Determine whether the inverse of F(x) is a function.
Answer:
Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.
Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.
The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.
What is the lcm of 24, 18, and 6
we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3
so LCM of 24, 18, 6 is 2^3 x 3^2 = 72
ok done. Thank to me :>
In 20Pg how many choices are
there for the eighth batter for a
line-up of 9 out of 20?
A. 20
B. 14
C. 13
Answer:
13
Explanation-
It is 13 because it is the only one out of all of them that makes sense.
For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
In the given question,
In ²⁰ P ₉, the number of choices are to be found.
To find the choices,
Expand ²⁰ P ₉ by using a formula,
[tex]\rm ^nP_r = n!/(n-r)![/tex]
The number of choices
= 20!/ (20 -9)!
= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!
= 6.0949324 x 10¹⁰
The required number of choices are 6.0949324 x 10¹⁰.
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The complete question is given below.
Precalc please help!!
Answer:
Step-by-step explanation:
Find the odds for and the odds against the event rolling a fair die and getting a 1,a4,a3 or 5
Answer:
Step-by-step explanation:
Assuming we're rolling a cube die with 6 sides.
Odds for rolling any of 1, 4, 3, or 5 has four possible successes
4/6 = 2/3
Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6
2/6 = 1/3
HELP 100 points for these.
PLZZZ HELP also brainliest :)
Answer:
1) GCF is 1 in this case
2) GCF is 36
3) GCF is 3
4) GCF is 2
Step-by-step explanation:
Well GCF is greatest common factor, with that it Has to be the greatest and a common factor between 2 numbers. You can always list them out for example GCF of 3 and 12
THe factors of 3 are
1-3
The factors of 12 are
1-2-3-4-6-12
The greatest common one is 3.
Answer:
GCF = 1
GCF = 36
GCF = 3
GCF = 2
Step-by-step explanation:
45 & 16
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.
36 & 36
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
Then the greatest common factor is 36.
45 & 6
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 3.
30 & 16
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 2.
Can I have brainliest?