Answer:
2xy(x+5)(4x−1)
Step-by-step explanation:
1 Find the Greatest Common Factor (GCF).
GCF = 2xy
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)
3 Simplify each term in parentheses.
2xy(4x^2 +19x−5)
4 Split the second term in 4x^2+19x-5 into two terms.
2xy(4x^2 +20x−x−5)
5 Factor out common terms in the first two terms, then in the last two terms.
2xy(4x(x+5)−(x+5))
6 Factor out the common term x+5.
2xy(x+5)(4x−1)
What is the solution to:
2x - 8 < 12
a. x < 2
b. x < 8
c. x < 10
d. x < 40
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the solution to 2x-8<12
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, add 8 on both sides:-
2x<12+8
2x<20
Divide by 2 on both sides:-
x<10 (Option C)
So the numbers less than 10 will make this inequality true.
Good luck.- -- - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - -
Help m knnnnnbbbbbbbbbbbbbbbbbb
Answer:
25% of the bear getting picked
Step-by-step explanation:
since there are 4 options and we base of 100% we divide by 4 beacsue there are 4 options
100/4 = 25%
A 12-liter container has a pressure of 3 atmospheres.
The container is sent underground, with resulting compression into 6 L.
Applying Boyle's Law, what will the new pressure be? 5 pts.
Explain your steps - 20 pts
The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Boyle's law is given by:
P₁V₁ = P₂V₂
Where P is pressure and V is volume. Hence:
12(3) = 6 * P₂
P₂ = 6 atm
The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L
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Apply Boyles law
P1V1=P2V212(3)=6P_236=6P_2P_2=6atmSuppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of
f(5) − f(1)?
Answer:
Step-by-step explanation:
By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that
f'(c) = [f(6) - f(1)]/ (6 - 1)
So, f(6) - f(1) = 5f'(c).
Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20
So, f(6) - f(1) is between 10 and 20.
Find the area and perimeter of this shape.
Answer:
55
Step-by-step explanation:
since, it is a parallelogram we can find the area easily just by multiplying the base and height
A=bh
A=55m2
You pick a card at random.
2
3
4
5
What is P(prime)?
Write your answer as a fraction or whole number.
Answer:
[tex]\displaystyle P(\text{Prime})=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Prime})=\frac{\text{Number of Primes}}{\text{Total}}=\frac{3}{4}=0.75[/tex]
There were 93 students out of school of this is 12 % of the total number of students how many students are enrolled at the school
Answer:
the mid point of
a line segment is M(-3,2)one end point of the segment isP(1,-3)find the coordinates of the end point
You have 8 shirts and 5 pairs of pants. How many outfits are there?
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Given }}}[/tex]
➣8 shirts➣5 pairs of pants✛ To find ✛total outfits we can?[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]
➣ total number of outfits you can have is[tex] \rm{➾ \: total \: outfits \: you \: can \: have = \: 8 \: shirts \times 5pairs \: of \: pants} \\ \rm{➾ \: total \: outfits \: you \: can \: have =\: 40}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
80% of what number is 52
Check whether (2,-3) and (-1, 5) are solutions of the equation
4x+ y =1
Answer:
So the first one the false the second one it true
Step-by-step explanation:
4(2)+(-3)=1 FALSE
4(-1)+5 = 1 TRUE
(7z+1) + (-4z-5) simplify
Step-by-step explanation:
[tex] = (7z + 1) + ( - 4z - 5)[/tex]
[tex] = 7z + 1 - 4z - 5[/tex]
[tex] = 7z - 4z + 1 - 5[/tex]
= 3z - 4
hence 3z - 4 is the answer...
hope it helped !!!
HELP!!!!!!!!!!!!!!!!!
Answer:
To do this I am pretty sure your going to have to do some hard calculations.
Lets go deeper
so because it is a rectangle every angle is a right angle according to the property of a rectangle.
A right angle is 90 degress
So 8x+18=90
90-18=72
8x=72
72/8=9
x=9
Feel free to do brainlest if correct
What are the square roots of 36100?
−9/25 and 9/25
−6/25 and 6/25
−6/10 and 6/10
−18/50 and 18/50
Answer: Heyaa!!
its 3/5 :)
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Hopefully this helps you
- Matthew <333
Answer:
The square root of 36/100 is c. -6/10 and 6/10
Step-by-step explanation:
as of right now im not sure how to confirm this other then a calculator, but it is mathmatically correct
also with mathews answer, 3/5 = 6/10 so be sure to look at his explanation as well
((if you happen to know, please let me know in the comment below!!))
Suppose angle A and angle B are supplementary.
The measure of angle A is (15x + 65) and the measure of angle B is (50x - 15).
Solve for x (showing your setup and work) and then find the measure of angle A and the measure of angle B
Answer:
x = 2
Angle A = 95°
Angle B = 85°
Step-by-step explanation:
Concepts
Supplementary angles are angles that sum up to 180° to form a straight angle.
Application
We are asked to find the value of x, Angle A, and Angle B. We are given angles A and B as 15x + 65 and 50x - 15. To do this, we can set up the equation 15x + 65 + 50x - 15 = 180 because we know these angles are supplementary, or adding to 180°. Then, once we get the value of x, we plug in that value for each angle.
Solution
Step 1: Simplify both sides.
[tex](15x+50x) +(65-15)=180[/tex] [tex]65x+50=180[/tex]Step 2: Subtract 50 from both sides.
[tex]65x+50-50=180-50[/tex] [tex]65x=130[/tex]Step 3: Divide both sides by 65.
[tex]65x/65 = 130/65[/tex] [tex]x=2[/tex]Step 4: Plug x into angle A.
[tex]15(2)+65 = 30 + 65 = 95[/tex]Step 5: Plug x into angle B.
[tex]50(2) - 15 = 100 - 15 = 85[/tex]
helpp asap 59 points
Answer:
A=7
B=10
C=2
D=2
Surface area= 208
Pretty sure this is correct.
The region outside the circle r = 2 and inside the circle r = -4sin
The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region outside the circle r = 2 and inside the circle r = - 4 sinθ.
Then the intersection point will be given as
[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]
Then by the integration, we have
[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]
[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]
[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]
Thus, the area of the region is 3.75 square units.
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Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.
x<
y >
Answer:
x ≤ 16y ≥ 16Step-by-step explanation:
-150x ≥ − 2,400
[tex]\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)[/tex]
[tex]\Longrightarrow x\ \leq \frac{-2400}{-150}[/tex]
[tex]\Longrightarrow x\ \leq 16[/tex]
===============
-336 ≥ − 21y
[tex]\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y[/tex]
[tex]\Longrightarrow 16\geq y[/tex]
[tex]\Longrightarrow y\geq 16[/tex]
Find the area of the triangle.
Answer:
9th ones answer is 4.
10th ones answer is 150 units.
7 the ones answer is 30sq cm.
6th one the statements A and B are right.
8 the ones answer is 240 cm².
Answer this please Answer
Answer:
A. 6/10
Step-by-step explanation:
Answer:
the answer is a 6
_
10
Step-by-step explanation:
In the diagram, A||B and B||C . Find the values of X
keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.
[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]
Find the value of x to the nearest tenth!!
equivalent to square root of 5 times the square root of 20
the answer is ten it's simple to multiply
This table displays the height of a plant seedling as it grows over
Plant Heights
the course of an experiment.
Week
Height (cm)
Select the answers from the drop-down menus to correctly
complete the statements.
0.75
2
0.9
The attribute being measured is
The
3
1.1
unit of measurement is
There is a total of
4
1.25
observatia
Choose.
weeks
1.6
centimeters
2.0
The attribute being measured is the height of plant seedlings. The unit of measurement is centimeters. There are a total of 6 observations.
What is the information that is being measured?
The table displays weeks and the plant's height. From the table, it can be seen that the height of the plant increases with the passage of time. Thus, the attribute being measured is the height of plant seedlings.
The number of data points on the table is 6. This is the total number of observations.
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Area of perimeter of composite figures puzzle question B.
Area and perimeter of figure be: 562.08 m² and 123.68 m
What is Area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The figure comprises of a parallelogram and semicircle.
1. For Area
Area of parallelogram = base x height
= 24 x 14
= 336 m²
Area of semicircle = (π x r²)/2
= (3.14 * 12 * 12)/2
= 226.08 m²
Total Area of the figure = 336+ 226.08 =562.08 m²
2. Perimeter
Perimeter of parallelogram= 2 (a+b)
= 2 (19 +24)
= 86 m
Perimeter of semicircle= π * r
= 3.14 * 12
= 37.68 m
Total Perimeter of the figure= 86 + 37.68 = 123.68 m
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How many centimeters are equal to 12 meters?
Hi!1200 centimetres are equal to 12 meters.
Answer:
1200cm
Step-by-step explanation:
1m = 100cm
12m = 1200cm
ANSWER FAST PLEASSEEEEE
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.
Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D
Finding the mode of each data-set, the bimodal city's data is given by:
C. City C.
What is the mode of a data-set?It is the value that appears the most times in the data-set. If two values appear the same number of sets, the data-set is called bimodal.
Hence, looking at the table:
For City A, 10 appears three times, hence it is the only mode.For City B, 25 appears five times, hence it is the only mode.For City C, 42 and 66 each appear three times, hence they are the modes, and the data-set is bimodal.For City D, 78 appears three times, hence it is the only mode.Hence option C is correct.
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if [tex]v=v_{1} +v_{2}[/tex], where [tex]v_{1}[/tex] and [tex]v_{2}[/tex] are not both 0 and [tex]u=-3v[/tex], find the measure of the angle between [tex]u[/tex] and [tex]v[/tex].
Given:
[tex]\frac{u*v}{||u|| ||v||}[/tex]
If θ is the angle between u and v, then
u • v = ||u|| ||v|| cos(θ)
Since u = -3v, we have
u • v = (-3v) • v = -3 ||v||²
and
||u|| = ||-3v|| = 3 ||v||
If v₁ and v₂ are both not zero, then ||v| ≠ 0.
Then
cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1
which means θ = π rad = 180°.
Juan borrowed $10 from his cousin. He borrowed another $30 from his uncle. Juan bought a $10 lottery ticket and won $100. How much money will Juan have after he pays his cousin and uncle back?
Answer:
$90
Step-by-step explanation:
Since Juan pays back the $10 and $30 he borrowed from his cousin and uncle they do not affect the total outcome ($10+$30-$10-$30=0)
Subtract the price of the ticket from the total amount he won.
$100-$10=$90
A square picture is mounted on a larger rectangular sheet of poster paper leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides. The sheet of poster apper has an area of 42 square inches. If x represents the length of a side of the square picture, then an equation that can be used to determine the value of x is
An equation that can be used to determine the value of x is x² + 5x - 36 = 0.
To answer the question, we need to know what equations are
What is an equation?An equation is an expression which shows the relationship between two variables.
Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.
Then,
The width of the rectangular poster is W = x + 2 + 1 = x + 3. The length of the rectangular poster is L = x + 1 + 1 = x + 2So, the area of the rectangular sheet poster is A = LW
= (x + 2)(x + 3)
Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².
So, (x + 2)(x + 3) = 42
x² + 3x + 2x + 6 = 42
x² + 5x + 6 - 42 = 0
x² + 5x - 36 = 0
So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.
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Please Help ! Its a math problem !!! Given the tables below, what is the difference between the average rates of change over the interval [1, 4]?
Answer:
-4
Step-by-step explanation:
Average rate of change (Table 1) :
A(x) = h(4) - h(1) / 4 - 1A(x) = 9 - 3 / 4 - 1A(x) = 6/3 = 2Average rate of change (Table 2) :
A(x) = j(4) - j(1) / 4 - 1A(x) = 0 - 6 / 4 - 1A(x) = -6/3 = -2Difference : -2 - 2 = -4