Answer:
5ab^2-6a^2b+a^3-2b+2a
Step-by-step explanation:
The simplified expression of expression (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b
What is Expression?An expression is combination of variables, numbers and operators.
To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:
(a + b)(c + d) = ac + ad + bc + bd
Using this property, we can multiply the two binomials as follows:
(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)
Now we can distribute the terms of each binomial:
= a³ – 5a²b + 2a – a²b + 5ab² – 2b
Simplifying the terms, we can combine like terms:
= a³ – 6a²b + 5ab² + 2a – 2b
Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b
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An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?
a. With that p value, the results are not significant.
b. The salary differences are statistically significant.
c. The salary differences are not statistically significant.
d. With that p value, the differences are very close but not statistically significant.
Answer:
A
Step-by-step explanation:
The salary differences are found to be statistically significant.
What is Statistical Significance?Statistical significance refers to the claim that a result from data generated by testing or experimentation is not likely to occur randomly or by chance but is instead likely to be attributable to a specific cause.
It is given that
Average 6 foot plus male’s salary = $55,000
Average male’s salary under 6 foot tall = $47,000
p-value = 0.45
As the p-value 0.45 is greater than p-value 0.05,
So statement men over 6 feet tall earn more than men under 6 feet is acceptable, we can say that salary differences are statistically significant.
Therefore, The salary differences are found to be statistically significant.
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plz help thisnif for a grade!. The tape diagram below represents how much time you and your friend spend time studying. You study for 45 minutes how many minutes does your friend study
If a student has a monthly income of about $250, how much do you predict he might spend on clothing in a month?
Answer: depends if there like someone like me 550 but if there responable then probaly 50-80
Step-by-step explanation:
Select all of the number of ways in which a line
and a circle can intersect.
Answer:
0, 1, 2
Step-by-step explanation:
Hi there!
0
It is possible for a line and a circle to not intersect at all.
1
It is also possible for a line and a circle to meet at one point only. They would be tangent to each other and touch.
2
Finally, it is possible for a line to intersect the circle. They would appear overlapping. In any of these cases where a line intersects a circle, they would have crossed the circle at two points.
3
A line and a circle can only have a total number of 2 intersection points.
I hope this helps!
Giving right answer branleist
HELP PLSSS THIS IS HARD SOMEONEEE
Answer:
2 option
Step-by-step explanation:
mark me as brainliest
Answer:
Oh Im so Sorry But U Can Do It
One grain of this sand approximately weighs 7 x 10^-5 g. How many grains of sand are there in 6300 kg of sand ? Give your answer in standard form
Answer:
90 000 000 000 Grains
Step-by-step explanation:
one grain equal approximately 0.00007 grams.
convert 6300 kg into grams (multiply by 1000) and that equals 6 300 000g.
divide that by the weight of a single grain and you get the number of grains in that weight. So 6300000/0.00007=90 000 000 000 grains.
The number of grains of sand are there in 6300 kg of sand is 90,000,000.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].
Given that, one grain of this sand approximately weighs [tex]7\times10^{-5}[/tex] g.
6300 kg of sand
Number of grains = [tex]\frac{6300}{7\times10^{-5}}[/tex]
= [tex]900\times10^5[/tex]
= 90,000,000
Therefore, the number of grains of sand are there in 6300 kg of sand is 90,000,000.
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Simplify as far as possible.
√108 − 2 √300
Answer:
√108 − 2 √300
6v√3 − 20√3
or
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c 35 84
length is 84
c 35 is hypotenuse
equals 120 neareast tenth
A card is drawn at random from a deck of cards. Find the probability of getting the 5 of diamond
Write 5.2 . 10-2 in standard form.
Answer: 5.2×103. = 5.2×1000. = 5200
Step-by-step explanation:
y=-4(x-2)^2+4 what is the vertex and axis of symmetry of this equation?
Answer:
Step-by-step explanation:
for vertex
x-2=0 gives x=2
when x=2,y=4
vertex (2,4)
axis of symetry
x-2=0
Cual es la constante de proporcionalidad de 1/2 ?
Answer:
Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.
Jessica plants a seed 3 1/2 inches below the ground. The plants grows from 15 3/4 inches . What is the height of the plant above ground?
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
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I divided 56 by 4 to see how much per CD Brad payed. This got me $14. $42 divided by $14 is $3, so he can buy 3 CDs.
Answer:
3
Step-by-step explanation:
For each CD:
$56÷4=$14
Therefore for $42,
$42÷$14=3
Brad can purchase 3 CD'S.
Hope this helps!
Hope this helps!please mark BRAINLIEST.
Round it to the nearest ten thousand.
835,834
Round it to the nearest hundred.
96,625
Answer:
the 1st - 840,000 2nd-96,600
Solve for x step by step
Answer:
n=11
Step-by-step explanation:
n+5/-16=-1, multiply both sides by -16
n+5=16, subtract 5 from both sides
n=11
[tex]\sf x-5=16[/tex]
Answer:
x=21
Step-by-step explanation:
[tex]x-5=16[/tex]
[tex]x-5+5=16+5[/tex] (Add 5 to bth sides)
[tex]x=21[/tex]
please help me thank you
Answer:
2.4 cm
Step-by-step explanation:
1.2/3 = 0.96/x
x = (3 *0.96) / 1.2
x = 2.4 cm
Solve for X Please show your work.
(x+3)/(x^2-9)=(2x+7)/(x^2+2x-15)
Thank you
28-(3x+4)=2(x+6)+x How would you solve this??? Please add step by step explanation
Answer:
x = 2
Step-by-step explanation:
Peter has 4 more candies than Jude. The two have a total of 30 candies. How many candies does Peter have? How many candies does Jude have?
( Using Linear Systems of Equation Substitution/ Elimination)
Answer:
jude:13 peter:17
Step-by-step explanation:
x is jude
x+x+4=30
2x+4=30
2x=26
x=13
finding peter's amount of candy:
13+4=17
Find the sum of -8x^2+3 and -9x^2+3x-3
Answer:
-16x, and 3(x−28)
Step-by-step explanation:
-8x^2+3=-16,
Multiply 2 times −8.
which should get you −16x^2−1
Subtract 1 from 2, then you have −16x^1. For any term t, t ^1=t. so then it is -16x.
−9 ^2+3x−3
Calculate 9 to the power of 2 and get 81.
−81+3x−3
Subtract 3 from −81 to get −84.
=−84+3x
and if you need help with algebra https://mathsolver.microsoft.com/ will help!
multiplicative inverse of 7 raised to -2
Answer:
The multiplicative inverse of 7 raised to - 2 is 72. Not actual 72 but 7 to the second power.
Step-by-step explanation:
Can you use the perpendicular bisector theorem to solve for RS?
a)yes
b)no
what is 5/100 written in decimal
Answer:
0.05
Step-by-step explanation:
Hope it helps:)
can someone please help me with this
Answer:
3. How many faces do each of the following have?
cube - 6 facessquare pyramid - 5 facestriangular pyramid - 4 facespentagonal pyramid - 6 facesHope this helps!
Which inequality best represents that icecream at -3⁰C is cooler than icecream at 1⁰C?
Answer:
Ice cream at -3 c is cooler than 1 C therefore since you are looking to know which one is cooler > would be the best option.
Step-by-step explanation:
Have a wonderful day!
solve using substitution method2x + 8y = 4x = -4y - 2
Find the x- and y-intercepts for : 4y-6x = 24
Answer:
y-intercept = (0, 6)
x-intercept = (-4, 0)
Step-by-step explanation:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.
To find the y-intercept, set x = 0:
4y - 6x = 24
4y - 6(0) = 24
4y = 24
4y/4 = 24/4
y = 6
Therefore, the y-intercept is (0, 6).
The x-intercept is the point the graph where it crosses the x-axis, and has coordinates (a, 0). It is also the value of x when y = 0.
To find the x-intercept, set y = 0:
4(0) - 6x = 24
0 - 6x = 24
-6x/-6 = 24/-6
x = -4
Therefore, the x-intercept is (-4, 0).