Answer:
4c^2 - 3a^2 -7ac +6bc -ab
Step-by-step explanation:
solve first 3a( a + b + c) - 2b ( a+ b +c)
which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc
there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)
= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2
=4c^2 - 3a^2 -7ac +6bc -ab
What is the slope of all lines parallel to the line 4x - 5y = -1?
What is the new position of the drone relative to the top of the building?
Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
The area of the triangle is 20cm² and the width is 10cm.What is the height of the triangle? Can someone explain it To me step By step?
Answer:
4
Step-by-step explanation:
The formula of an area of a triangle is:
area = height × width ÷ 2
We can put in the values of the area and width first.
20 = height × 10 ÷ 2
20 = height × 5
Shift the (×5) to the left-hand side of the equation, making it (÷5).
20 ÷ 5 = height
height = 4
Answer:
A=1/2b×h
we have,
b=10 cm
A=20cm2
1/2b×h=20cm2
1/210×h=20
5h=20
h=4cm
6. 0.3k - 4m (k=20 and m= -2)
The value of the expression 6 + 0.3k - 4m at k = 20 and m = -2 is 20.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 6 + 0.3k - 4m, The value of the expression can be obtained at k = 20 and m = - 2 if we simply replace this numerical values of k and m which is,
= 6 + (0.3)×20 - 4(-2).
= 6 + 6 + 8.
= 20.
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Trying to get a 100 on every assigment because I wanna be top student in class :) So please help
Answer:
About 30%
Hope this helps :)
Answer:
30%
Step-by-step explanation:
5 times 4 = 20 (area)
100 divided by 20 = 5
5 times 6(the amount of shaded blocks) = 30
therefore its 30% of 100
PLEASE HELP FAST!
Determine the domain of the relation graph below.
A.) (-4,2]
B.) [-4,2)
C.) [-1,5)
D.) [1,5]
Answer: The answer is option A.
Step-by-step explanation: A white, non colored dot means always use a ( bracket. A solid, colored dot means use the [ bracket. Now it's farthest left at -4, and farthest right at 2. Thus, option A
Ben's car needs work. The mechanic charges $140 for parts plus $48 per hour for
labor. The mechanic said the bill will be at least $300. What is the possible number of
hours that the mechanic will work on Joe's car? Use an inequality to solve this problem.
the mechanic will work at least 6hours
The distance between two towns is 120km. There are approximately 8 km in 5 miles. What is the approximate distance in miles between the two towns
1. 0.04
2. 0.15
Explanation:i just finished that assignment for properties of probability distributions.
i hope this is what you were looking for!
Find the first four terms of the sequence given by the following.
a₁ = -3.5"-1 n=1, 2, 3
the first four terms of the sequence is 51,51.8,52.6,53.4
we can find first four terms by using formula given by
[tex]a_{n} =a_{1} +(n-1) *d[/tex]
[tex]a_{n}[/tex] = the nᵗʰ term in the sequence
[tex]a_{1[/tex] = the first term in the sequence
d = the common difference between terms
Arithmetic progression is a progression in which every term after the first is obtained by adding a constant value, called the common difference (d). So, to find the nth term of an arithmetic progression, we know an = a1 + (n – 1)d. a1 is the first term, a1 + d is the second term, the third term is a1 + 2d, and so on
an=51 + (n-1)*0.8, n=1, 2, 3...
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
Hence , the first four terms of the sequence is 51,51.8,52.6,53.4
the complete question is
Find the first four terms of the sequence given by the following.
an=51 + (n-1)*0.8, n=1, 2, 3...
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find the domain of the following equations and solve them
Answer:
Domain → x > 0
Solution → x = 100
Step-by-step explanation:
Given equation is,
[tex]x^{0.5\text{logx}}=0.01x^2[/tex]
Since, log of any number 'x' is defined when x > 0
Therefore, domain of the equation → x > 0
By taking log on both the sides of the equation,
[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]
0.5(logx)(logx) = log(0.01) + log(x²)
0.5(logx)²= -2 + 2log(x)
Let log(x) = a
Then the equation becomes as,
0.5a² = -2 + 2a
0.5a² - 2a + 2 = 0
a² - 4a + 4 = 0
(a - 2)² = 0
a = 2
Since, a = log(x)
log(x) = 2
x = 10²
x = 100
Therefore, solution of the given equation is x = 100.
[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]
Step-by-step explanation:A equation is given to us and need to find the domain of the equation . So , given equation is ,
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]
Now , let's simplify this equation to find the domain of x .
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]
Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.
[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]
In set builder Notation we can write as ,
[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]
Hence the domain of x is ( 0 , ∞ ) .Provide two examples that support the healthcare industry’s reliance on metrology for accuracy of instruments.
Answer:
because they need to measure the dosages for the patients.
And because they need to know how to accurately measure the patients height, and weight so they know what dosage to give them.
Step-by-step explanation:
plz mark brainliest
Please help asap! I attached the image.
Step-by-step explanation:
[tex] {5}^{2} = {x}^{2} + {x}^{2} \\ {5}^{2} = {x}^{4} \\ 5 = \sqrt{ {x}^{4} } \\ 5 = {x}^{2} \\ x = \sqrt{5} =2.236068\\ [/tex]
i need help can someone figure these out?
Answer:the 2nd one is 30000 divided by 2000 is 15
Step-by-step explanation: so 15 minutes til they crash the plane
Answer:
1) y= 25x+50
2) y= -2,000x+30,000
3) y= 1.5x+5
Step-by-step explanation:
In each equation, there is a set amount (50 dollars, 30,000 feet, and 5 centimeters) and an amount that is influenced by another variable such as time(25 dollars, 2,000 feet, 1.5 centimeters). Hope this helped :)
show your solution
find the 6 and 7 term
Answer:
1/6 and 1/7
Step-by-step explanation:
1/6 and 1/7
As we can see the denominator keeps increasing by 1 but the numerator stays as 1 :
1/1 or 1 is the first term
1/2 is the 2nd term
1/3 is the 3rd term
So :
1/6 is the 6th term
and 1/7 is the 7th term
What is the perimeter of the shape below?
Answer:
what are the units?
Step-by-step explanation:
depends on the side of 1 square
if it is 1 unit, perimeter is 22 units
PLZ HELP I NEED TO PASS MATH LOL, What is the value of the expression (−10)(−7)? Enter your answer in the box.
70
Two negatives make a positive
Hello, I am struggling a bit with this question please help
Answer:
-7.4
-2/3
⅔-0.1
0
4/8
2.7
5 1/9
29/4
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
Step-by-step explanation:
first put everything in decimal
-0.1,2.7,0.25,7.25,0,-7.4,5.667
lowest to greatest
-0.1,-7.5,0,0.25,2.7,5.667,7.25
-0.1,-7.25,0,4/8,2.7,51/9,29/4
im new to this btw ill give you crown
The slope of the graphed linear equation is a = 3/4.
What is the slope of the graphed linear function?A general linear equation is of the form:
y = a*x + b
Where a and b are real numbers, a is the slope, and b is the y-intercept.
If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that linear equation is given by:
a = (y₂ - y₁)/(x₂ - x₁)
Now, we can look at the graph to identify two points on the line, we can use (20, 40) and (60, 70), using the above formula we can get the slope:
a = (70 - 40)/(60 - 20)
a = 30/40 = 3/4
The slope of the graphed linear equation is a = 3/4.
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What is equivalent to (6xp)+3
Answer:
1(6xp+3)
Step-by-step explanation:
Multiply
what is the slope of the line please help thank you (picture)
Answer: D
Step-by-step explanation: just think rise over run, everytime it hits a cross in the graph count how many tiles there were between crosses and put the y diffrence on top of the x difference
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 400 nails. The contractor bought six more small boxes than large boxes, which altogether had 1200 nails. Create a system of equations to represent this situation. Define the variables that you use to write the system.
Answer:
https://brainly.com/question/14526835?referrer=searchResults#
some one already answered the question you have
Step-by-step explanation:
multiple choice, plz help
Which of the following equations has a slope of -3 and a y-intercept of 8?
y=−8−3x
y=8−3x
y=8x−3
y=−8x−3
Write a system of equations and solve. A chemist wants to make a 10% solution of fertilizer. How much water and how much of a 30% solution should the chemist mix to get 30 L of a 10% solution?
Answer:
x=10 L of .30 solution
x+y=30
y=20 L water
Step-by-step explanation:
What are the roots of the equation x2 – 10x + 21 = 0?
Answer:
Step-by-step explanation:
H
If FGH=QRS, find the measure of Q.
Answer: 28
Step-by-step explanation: i got the same test
Ben walked 4 miles in a half-hour. Find out how many miles he can walk in an hour
Answer:
8
Step-by-step explanation:
4 miles= 30= half hour x 2 equals 60= hour so its basic math 4 x 2
Find the values of r and t.
60 students in a school election 45% voted for aliyah. how many votes did aliyah get?
Answer:
27
Step-by-step explanation:
60 times .45 equals 27
YOU HAVE A SWELLING INJURY. DO YOU USE….
Heat or ice?
Answer:
Ice would be the correct answer.
Answer:
if u want go to the doctor but use ice but if its to cold use a little heat not too much tho
Step-by-step explanation:
If you have injured your neck and are experiencing swelling, you should ice the area for at least 72 hours. After icing, you can use heat to help any lingering pain. Tight neck muscles and old injuries can benefit from heat only, as long as there isn’t any swelling.