Answer:
c. (A + B)^2-A^2 + 2AB + B^2
Step-by-step explanation:
Given that:
a.
(A-B)^2 = A^2 - 2AB + B^2
If and only if AB = BA
Then;
(A-B)^2 = (A -B ) (A - B)
(A-B)^2 = A^2 - AB-BA + B^2 (FALSE)
b.
(AB)^2=A^2B^2
on true if any only if AB =BA
(AB)^2= (AB) (AB)
c.
(A+ B)^2 = A^2 + 2AB + B^2
(A+ B)^2 = (A + B) (A+B)
(A+ B)² = A × A + A × B + B × A + B × B
(A+ B)^2 = A^2 + A*B + B*A + B^2
This is true
Using the rules of significant figures, what is the correct answer for the following mathematical equation?
32.6 x 12.5897=
a. 410.4242
b. 410.42
c. 410.4
d. 410
What is the value of 4³ ? 12 16 43 64
Answer:
64
Step-by-step explanation:
[tex]4^{3}[/tex] = 4 × 4 × 44 × 4 × 4 = 64I hope this helps!
Challenge An arts academy requires there to be 3 teachers for every 66 students and 6 tutors for
every 66 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 88 students?
Answer:
Answer:
a). Number of students per teacher= 22 students
b). Number of students per tutor=11 tutors
c). Number of tutors it needs for 132 students =12 tutors
Step-by-step explanation:
An arts Academy requires that;
6 teachers for every 132 students
4 tutors for every 44 students
a). Number of students per teacher
6 teachers for 132 students, meaning for every teacher there are (132/6)=22 students
b). Number of students per tutor
4 tutors for every 44 students, meaning for every tutor there are (44/4)=11
students
c). Number of tutors it needs for 132 students
If for every 11 students they need i tutor, therefor for 132 students they will need= (132/11)=12 tutors
Step-by-step explanation:
Find the discounted price:
$150 table; 40% discount
Answer:
$60
Step-by-step explanation:
40% of 150=60
40 × 150 = $60
100 1
Find product 5% x $38
Help I don’t understand this
Answer: it is unclear
Step-by-step explanation: ask your parent or teacher now if you dont know this. this is a new system and i dont
know. try reaching your parents for a clear answer.
what is the slope of the line in the graph?
slope=
Plz Hurry
Answer:
Slope = 1
Step-by-step explanation:
A colony of bacteria grows 5% every hour.How long does it take for the colony to double in size ? with show working
5%=1hour
100% =?
100×1/5
20 hours
for it to double it needs to replicate itself by100%
divide the product of 10 and 8 by the difference of 12 and 2
what is 3 7/10 x 7 =
100/27Answer:
Step-by-step explanation:
Answer 100/27
Answer: 24
Step-by-step explanation:
convert the mixed numbers to improper fractions 3 3/7 = 24/7
24*7
convert the fraction to 7 = 7/1
=24/7*7/1
cross cancel to fraction
24/1
=24
Explain why the sum of -8 and 2 is negative but the sum of 8 and -2 is positive
Does (-5, -2) make the inequality -X- 2y 28 true?
Answer:
no
Step-by-step explanation:
because if its -5 since it's in perenticies its multiplied negative five times negative two which equals negative 10 while x *2y which would be 28 equals x would be 14 and 2y would just be 2 so your answer is no
what is 15y - 18x = -30 in slope intercept form and simply fractions plz
Answer:
y = 6/5x - 30
Step-by-step explanation:
15y - 18x = -30
+ 18x + 18x
15y = 18x - 30
y = 18/15x - 30
y = 6/5x - 30
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
I WILL MAKE YOU BRAINLEST AND I MADE IT WORTH 50 POINTS
Time taken with average speed of 75 mph is 6.4 hour.
Given that;
Time taken with average speed of 60 mph = 8 hour
Find:
Time taken with average speed of 75 mph
Computation:
Distance = Speed × Time
Total Distance = 60 × 8
Total Distance = 480 miles
Time taken with average speed of 75 mph = Total distance / Speed
Time taken with average speed of 75 mph = 480 / 75
Time taken with average speed of 75 mph = 6.4 hour
Learn more:
https://brainly.com/question/18585634?referrer=searchResults
Which measurements are degrees of rotational symmetry for the equilateral triangle?
1. 72°
II. 90°
ii. 120°
iv. 132
V. 240°
vi. 360°
O i, ii, and iv
O ii and vi
O iii, v, and vi
O iv and vi
liv, and vi
Div and vi
Calculator
Answer:
Step-by-step explanation:
A
Can someone help me with this please?
ASAP
The total volume of the crayon is 4,650.2 mm³.
The total surface area of the crayon is 2,300.33 mm².
What is the volume and surface area of one crayon?The volume and surface area of one crayon is calculated by applying the following formula as follows;
The volume of the cylinder is calculated as;
V = πr²h
where;
r is the radius of the cylinder = 8.5 mm / 2 = 4.25 mmh is the height of the cylinderV = π x (4.25)² x (80)
V = 4539.6 mm³
The volume of the cone is calculated as;
V = ¹/₃ πr²h
V = ¹/₃ π(6.5/2)² x (10)
V = 110.6 mm³
Total volume of the crayon = 4539.6 mm³ + 110.6 mm³ = 4,650.2 mm³
The surface area of the cylindrical part of the crayon is calculated as;
S.A = 2πrh + πr²
S.A = 2π(4.25)(80) + π(4.25)²
S.A = 2,193.03 mm²
The surface area of the cone part of the crayon is calculated as;
S.A = πrs
where;
s is the slant heightr is the radius = 6.5 mm/2 = 3.25 mms = √ (10² + 3.25²)
s = 10.51 mm
S.A = π x 3.25 mm x 10.51 mm
S.A = 107.3 mm²
The total surface area of the crayon = 107.3 mm² + 2,193.03 mm² = 2,300.33 mm²
Learn more about volume of cylinder here: https://brainly.com/question/9554871
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To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (
) dollars.
Question 2
b. What does the coefficient of the expression in part (a) represent?
the total cost (in dollars) of adopting one dog
the total amount (in dollars) the veterinarian is paid when one dog is adopted
the total cost (in dollars) of adopting x dogs
the total amount (in dollars) the animal shelter earns when x dogs are adopted
Answer:
1=1 divided 56 789
Step-by-step rights
last one haha. need this asap will give brainliest
Answer:
A & B
Step-by-step explanation:
in 5/6÷4/5 the blank is 4/5
Answer:
25/24=1 1/24
Step-by-step explanation:
P(a)=-4^3a find p(-1)
Answer:
64
Step-by-step explanation:
-4^3(-1)=64
hope this helps
Answer:
Step-by-step explanation:
What is 212.809 rounded to the nearest hundredth
Answer:
212.81
Step-by-step explanation:
212.809 rounded to the nearest hundredth is 212.81
plz mark as brainliest
Answer: To round 212.809 to the nearest hundredth consider the thousandths' value of 212.809, which is 9 and equal or more than 5. Therefore, the hundredths value of 212.809 increases by 1 to 1.
What is the average of 75 and 136?
Answer:
if you meant the mean its 105.5
Step-by-step explanation:
just add them and divide by 2
A line has a y-intercept at (0,4) and an x-intercept at (6,0). What is the slope of the line?
PLZ HELP
Answer: it should be 2/-3 = -0.666667
Step-by-step explanation: This is the equation you use to find the slope.
m =
y2 - y1
x2 - x1
Use the quadratic formula to find the roots: -2x^2 + 11x = 15
Answer:
[tex]x=3,\frac{5}{2}[/tex]
General Formulas and Concepts:
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Standard Form: ax² + bx + c = 0
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
-2x² + 11x = 15
-2x² + 11x - 15 = 0
a = -2, b = 11, c = -15
Step 2: Solve for x
Substitute: [tex]x=\frac{-11\pm\sqrt{11^2-4(-2)(-15)} }{2(-2)}[/tex]Exponents: [tex]x=\frac{-11\pm\sqrt{121-4(-2)(-15)} }{2(-2)}[/tex]Multiply: [tex]x=\frac{-11\pm\sqrt{121-120} }{-4}[/tex]Subtract: [tex]x=\frac{-11\pm\sqrt{1} }{-4}[/tex]Evaluate: [tex]x=\frac{-11\pm1}{-4}[/tex]Simplify: [tex]x=3,\frac{5}{2}[/tex]The solution to 7(b-1) <0 is:
b
Step-by-step explanation:
7b-7<0
7b<7
b<1
Hope it heps
Please mark as brainliest
Answer: A
Step-by-step explanation:
the numbers in box 1 is 1:2 1:6 2:1 6:1 the numbers in box number 2 are 4 12 24 32.
Answer:
how does the melody go again
Step-by-step explanation:
when i drop...
work out the answer to
142.4 + 16
Answer:
[tex]158.4[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
158
Step-by-step explanation:
Add:
142.4
+ 16
----------
158.4 => 158
Here we have two addends: 142.4 and 16. Their sum cannot be more accurate than the accuracy of 16, which is to the nearest unit.
Thus, we write the sum here as 158, which has been rounded to the nearest unit.
I don’t know how to do this.
Answer:
sin(t) = √15/4,
cos(t) = - 1/4,
tan(t) = - √15
Step-by-step explanation:
The coordinates of the terminal point P(x, y) determined by t are x = - 1/4, and y = √15/4;
sin(t) = y = √15/4
cos(t) = x = - 1/4
tan(t) = y/x = √15/4 / - 1/4 = - √15
How do you simplify this expression
1. 9a/2
2. 12b/4
Answer:
The answer for the first one is [tex]\frac{9}{2}[/tex]a
The answer to the second one is 3b
Taylor wants to make cookies for her homeroom class. The recipe calls for 3/4 cups of flour for every batch of 6 cookies. She needs to make 48 cookies for each student to get atleast 2 cookies each. How much flour will she need to make 48 cookies?
Answer:
6 cups of flour.
Step-by-step explanation:
