Answer:
Please rephrase the question.
Step-by-step explanation:
Factorizie completely 2ap+aq-bq-2bp
Answer:
2ap + aq - bq -2bp = (a - b)(2p + q)
Step-by-step explanation:
(2ap + aq) - (bq -2bp)
a(2p +q) -b(q + 2p) [ taking a common from the first, and b from the second]
(2p + q) [a - b] [takin (2p + q)]
(2p + q)(a - b)
The completely factored form of the expression 2ap + aq - bq - 2bp is
(a - b)(2p + q).
In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.
Given expression: 2ap + aq - bq - 2bp
Step 1: Look for common factors.
Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.
Step 2: Factor out the common terms.
We can factor 'a' from the first two terms: a(2p + q)
And factor '-b' from the last two terms: -b(q + 2p)
Step 3: Rearrange the expression.
Now we have: a(2p + q) - b(q + 2p)
Step 4: Factor by grouping.
We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)
Step 5: Final result.
Thus, the completely factored form of the given expression is
(a - b)(2p + q).
To know more about Factorize here
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Helppppp ASAPPPPPP TST FULL CREDIT
Answer:
24.
[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]
25.
[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]
26.
[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]
Water runs from a faucet into a bucket at a steady rate. After 4 seconds, there are 32 ounces of water in the bucket. Write an equation that shows the relationship between time and ounces of water. Use t for time in seconds and w for ounces of water.
9514 1404 393
Answer:
w = 8t
Step-by-step explanation:
If we assume that the ounces of water are proportional to the time, then the equation will look like ...
w = kt
for some constant k.
Solving for k, we find ...
k = w/t
Using the given values, we find k to be ...
k = (32 ounces)/(4 seconds) = 8 ounces/second
The units are stated in the definitions of the variables, so we can write the equation as ...
w = 8t
Which of the following is a point-slope equation of a line that passes through the points (-1, 4) and (8,-2)?
A. y-4= -3/2(x+1)
B. y-4= -2/3(x+1)
C. y-4= 2/3(x+1)
D. y-4= -2/3(x-1)
Answer:
B
Step-by-step explanation:
We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's find the slope of the line first. We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]
We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).
Substitute:
[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]
Simplify:
[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]
Therefore, our answer is B.
What is the completely factored form of this polynomial? 4x^4+12x^2+9
Answer:
(2x^2+3)^2
Step-by-step explanation:
See image below:)
For the following right triangle, find the side length x . Round your answer to the nearest hundredth.
[tex]\huge\bold{Given:}[/tex]
Length of the base = 9
Length of the hypotenuse = 16 [tex]\huge\bold{To\:find:}[/tex]
✎ The length of the perpendicular ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The length of the perpendicular [tex]x[/tex] is[tex]\boxed{±13.229}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {x}^{2} + {(9})^{2} = ({16})^{2} \\ ⇢ {x}^{2} + 81 = 256 \\ ⇢ {x}^{2} = 256 - 81 \\ ⇢x = \sqrt{175} \\ ⇢x = ±13.229[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:perpendicular \:"x"\:is\:±13.229.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13.229})^{2} + ({9})^{2} = ({16})^{2} \\ ⇢ 175 + 81 = 256 \\ ⇢ 256 = 256 \\⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
PLEASE HELP QUICK
Factor out the GCF of 14x4 + 21x2 + 28x
Answer:
14×4+21×2+28=126
Step-by-step explanation:
correct me if I'm wrong
Faisal tries to solve
(x + 2)(x - 7) = 0
Here is his working.
(x + 2) = 0
or
(x - 7) = 0
Answer
x = 2
or
x=7
Give a reason why his answer is wrong.
Answer:
He should have subtracted 2 from each side to find the solution for x+2 =0
Step-by-step explanation:
(x + 2)(x - 7) = 0
Using the zero product property
x+2 = 0 x-7=0
x+2-2=0-2 x-7+7=0+7
x = -2 x=7
He should have subtracted 2 from each side to find the solution for x+2 =0
Step-by-step explanation:
the steps he took are correct but the answer of x is somehow wrong because
(x+2)=0
x = -2
and not x = 2
2/3 feet is how many inches
Answer:
(2/3) foot = 8 inches
Can anyone solve this?
Answer:
They are congruent
Step-by-step explanation:
The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.
There are 88 marbles in a bin and 50 percent of the marbles are red how many red marbles are in the bin ?
Answer:
44
Step-by-step explanation:
50% is half of the whole
88/2=44
Answer:
44
Step-by-step explanation:
88/2
Help with this math image below
The answer is 'Right'.
Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle C = 180 - 58 - 32
= 90°
90° is defined as a right angle.
Therefore, triangle ABC is classified as a right-angled triangle.
What is the value of the expression:5m-2n when m=3 and n=5?
9514 1404 393
Answer:
5
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
5(3) -2(5) = 15 -10 = 5
Answer:
5
Step-by-step explanation:
5m - 2n
Where, we have given ; m = 3 & n = 5
plug the value in the equation
= 5( 3 ) - 2 ( 5 ) = 15 - 10= 5The Aztec came to power in central Mexico
during the A.D 1300s.
fact or opinion
Answer:
fact
Step-by-step explanation:
Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.
Mean = Σx / n = 1086000 / 8 = 135750
Median = 1/2(n+1)th term = 8000
The lower quartile :
Q1 = 1/4(n+1)th term
Q1 = 8000
Q3 = 3/4 (n+1)th term
Q3 = 18500
IQR = 18500 - 8000 = 10500
OUTLIER :
8000 - (1.5*(10500)) = - 7750
18500 + (1.5*(10500)) = 34250
10% trimmed mean
10% * 8
Cut off 1 from the top and bottom
Data becomes : 8000, 8000, 11000, 15000, 17000, 20000
Trimmed mean = 13166
A mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 8 líters of yellow tint are added to the original mixture.
Answer:
The amount of yellow tint would be 33.84%
Step-by-step explanation:
por favor ayudaaaaaa
Answer:
D
Step-by-step explanation:
Pitágoras
A^2 = B^2 + C^2
A^2 = 14^2 +5^2
A^2 = 196 + 25
A = √221
Identify the value for C in the following equation that would make the conic section a parabola: 2x2 + Cy2 + 3x + 5y + 1 = 0
Given:
The conic equation is:
[tex]2x^2+Cy^2+3x+5y+1=0[/tex]
To find:
The value of C such that the given conic equation make a parabola.
Solution:
The general for of conic equation is:
[tex]Ax^2+Cy^2+Dx+Ey+F=0[/tex]
This equation represents a parabola is either A=0 or C=0 but not both equal to zero.
The given equation is:
[tex]2x^2+Cy^2+3x+5y+1=0[/tex]
Here, coefficient of [tex]x^2[/tex] is A=2 and coefficient of [tec]y^2[/tex] is C.
Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.
Therefore, the only value of C is 0.
IM BEING TIMEDDD PLEASE HELPPPPPP
Choose the correct simplification of (6x3 − 7x − 4) + (4x3 + 8x + 3). (5 points)
2x3 − 15x − 7
10x3 + x − 1
2x3 + 15x + 6
10x3 − x − 1
Answer:
10x^3 + x - 1
Step-by-step explanation:
(6x^3 -7x - 4) + (4x^3 + 8x + 3)
Combine like terms
6x^3 + 4x^3 = 10x^3
Combine like terms
-7x + 8x = x
Combine like terms
-4 + 3 = -1
Combine the results of the terms
10x^3 + x - 1
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brainlist)
Answer:
tan B = 12 /5
sin B = 12/13
cos B = 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp/ adj = 12 /5
sin B = opp/hyp = 12/13
cos B = adj/hyp = 5/13
Answer:
Sine of B = 12/13
Cos of B = 5/13
Tan of B = 12/5
Step-by-step explanation:
In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
If f(1)=4f(1)=4 and f(n)=f(n-1)^2+2f(n)=f(n−1)
2
+2 then find the value of f(3)f(3).
Answer:
f(3) = 326
Step-by-step explanation:
Given the function
f(n)=f(n-1)^2+2
If f(1) = 4
f(2) = f(1)^2 + 2
f(2) = 4^2 + 2
f(2) = 16 + 2
f(2) = 18
f(3) = f(2)^2 + 2
f(3) = 18^2 + 2
f(3) = 324 + 2
f(3) = 326
Help and explain pls and thankyouuu
Answer:
third one
Step-by-step explanation:
l 3q-2 l = 7
drop absolute value symbols and set up two equations
3q - 2 = 7 or 3q - 2 = -7
3q = 9 3q = -5
q = 3 q = [tex]\frac{-5}{3}[/tex]
Answer:
3q-2=7
The two will move other side of equal sign from - 2 to +2
3q=7+2
3q=9
/3 in both side
q=3
5th grade math. correct answer will be marked brainliest, answer the blank one!!
An object has a mass of 630 kg and a volume of 7 m cube.
Find the density of the object in kg/m cube.
Step-by-step explanation:
Hey there!
According to the question;
Mass of an object (m) = 630 kg
Volume of an object (v) = 7m³
We know that;
[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]
or, density = (630/7) kg/m³
Therefore, density of the substance is 90kg/m².
Hope it helps!
Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
NASA estimates that the probability that a certain component in a communication satellite fails is .005. There is an independent backup system, and the probability that it fails is .01. What is the probability that both systems fail
Answer: [tex]0.00005[/tex]
Step-by-step explanation:
Given
The probability that a certain component in a communication satellite fails is 0.005.
There is an independent backup system, and the probability that is fails is 0.01
The probability that both the system fails is given by
[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]
Simon uses 2/3 cup of sugar to bake a cake. How many cups of sugar does he needs to bake 6 cakes?
Answer:
4
Step-by-step explanation:
2/3x6=4
true or false? like terms have the same variable and the same exponent.
the distance from kevins home to his school is 2 kilometers. adrian lives 750 meters from the same school. how much closer does adrian live next to the school than kevin
Find the difference.
(-ab+3a-3) - (3ab+2)
Answer:
3a-4ab-5
Step-by-step explanation:
(-ab+3a-3) - (3ab+2)
Distribute the minus sign
(-ab+3a-3) - 3ab-2
Combine like terms
3a-4ab-5
Answer:
[tex]-4ab+3a-5[/tex]
Step-by-step explanation:
Hi there!
[tex](-ab+3a-3) - (3ab+2)[/tex]
Open up the parentheses
[tex]-ab+3a-3- 3ab-2[/tex]
Combine like terms
[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]
I hope this helps!
