Step-by-step explanation:
Commutative property of addition is a+b=b+a
7+2=9 , 2+7=9
9=9
So, commutative property is true for addition
2-7=-5 , 7-2=5
-5 is not equal to 5
Commutative property does not apply to subtraction
10a^2b^0 for a=–3, b=–8
Answer:
90Step-by-step explanation:
Substitute a = -3 and b = -8 to the expression 10a²b⁰:
10(-3)²(-8)⁰ = 10(9)(1) = 90
a⁰ = 1 for any real number
Answer:
90
Step-by-step explanation:
10a^2b^0
Let a=–3, b=–8
10 (-3)^2 ( -8)^0
10 * 9 *1
90
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)
Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
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12 =7 solve.
Bro wat does this mean i dont get it please help someone :\
Answer:
if it says 12x = 7
the u will divide the 12 on both sides and x will equal to 7/12,,
if it simply says 12 = 7 then put false cause that's not true!!
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
Answer:
-2,-3
Step-by-step explanation:
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
a diver descended 84 feet in 6 minutes. What was the divers change in depth per minute? Write and expression with a solution
Answer:
14 depth per minute
Step-by-step explanation:
84/6 = 14
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8) lies on its terminal side
Answer:
cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
cosФ = [tex]\frac{x}{r}[/tex]sinФ = [tex]\frac{y}{r}[/tex]tanФ = [tex]\frac{y}{x}[/tex]secФ = [tex]\frac{r}{x}[/tex]cscФ = [tex]\frac{r}{y}[/tex]cotФ = [tex]\frac{x}{y}[/tex]Where r = [tex]\sqrt{x^{2}+y^{2} }[/tex] (the length of the terminal side from the origin to point (x, y)You should find the quadrant of (x, y) to adjust the sign of each function∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]
∵ x = 1 and y = -8
∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = [tex]\frac{x}{r}[/tex]
∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]
∵ sinФ = [tex]\frac{y}{r}[/tex]
∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]
∵ tanФ = [tex]\frac{y}{x}[/tex]
∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8
∵ secФ = [tex]\frac{r}{x}[/tex]
∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]
∵ cscФ = [tex]\frac{r}{y}[/tex]
∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]
∵ cotФ = [tex]\frac{x}{y}[/tex]
∴ cotФ = [tex]-\frac{1}{8}[/tex]
Jackson has 429 matchbox cars in his collection. If 4 out of 9 are blue cards, how many are not blue
Name all rays with endpoint E
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
For more information about vector,
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if there are 7 fish and 3 drown how many are left?
Answer:
7
Step-by-step explanation:
there are 7 left because fish can't drown
PLEASE HELP :’( last one
Answer:
A.3
Step-by-step explanation:
A map has a scale of 2 in: 6 mi. If Clayton
and Centerville are 10 in apart on the map
then how far apart are the real cities?
Solve:
a.) 5(x - 2) > -15
AND
b.) x/1 - 9 < -10
Answer:
a.) x>-1
b.) x/1 - 9 < -10
Step-by-step explanation:
a.)
5(x - 2) > -15
(divide both sides)
x-2>-3
(move the constant to the right)
x>-3+2
(calculate)
x>-1
(answer)
b.)
x/1 - 9 < -10
(divide)
x-9<-10
(move the constant to the right)
x<-10+9
(calculate)
x/1 - 9 < -10
(answer)
Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten
Answer:
[tex]\frac{1}{10} h\leq 10[/tex]
Step-by-step explanation:
Basically, we are just translating the phrase into an algebraic expression.
1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?
Answer:
Step-by-step explanation:
Since the Tootsie Roll lollipop is a sphere
volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]
the negative sign indicates that the volume is decreasing
upon differentiating
as the diameter given is =0.75 so radius will be = 0.375
[tex]dV/dt = 4piR^2*dR/dt[/tex]
so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]
So the radius is decreasing at the rate of dR/dt= 0.142in/min
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
Question
5°F - 32)
The function to convert Fahrenheit to Celsius is °C = (°F) =
The inverse function will
9
convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how
determining this inverse is different than determining the previous inverses.
The inverse function is °F = -(°C)=
The F and °C (select) V need to be switched like the x and y did in the previous functions.
(select) degree measures, and because of the real-world relationship, switching them
(select) ✓ make sense.
Answer:
[tex]F = \frac{9C + 32}{5}[/tex]
Step-by-step explanation:
Given
[tex]C = \frac{(5F - 32)}{9}[/tex]
Required
Determine the inverse function
[tex]C = \frac{(5F - 32)}{9}[/tex]
Make F the subject of formula:
Multiply through by 9
[tex]9C = 5F - 32[/tex]
Add 32 to both sides
[tex]9C + 32= 5F[/tex]
Divide through by 5
[tex]\frac{9C + 32}{5}= F[/tex]
[tex]F = \frac{9C + 32}{5}[/tex]
What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet
A jewelry store is having a 45% off sale for all necklaces. During this sale, what is the cost of a necklace that regularly costs $59.98?
Answer:
32.99
Step-by-step explanation:
59.98(45%)=26.99
59.98-26.99=32.99
Answer:
$32.99, the discount took off $26.99.
Step-by-step explanation:
Good luck!
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Answer:
Y= -6x + 1
Step-by-step explanation:
Y=mx + b
M is your slope
B is your y intercept
BRAINLIEST Multiply each side by the common denominator
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
1/5t+2- =17
1/5t
.1/5t
T=
Answer:
poop i forgot my ramen noodles are in the microwave
Step-by-step explanation:
I need help. Is this right????
Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
0 = 0
1 = 2
2 = 4
3 = 6
20 = 40
what is 4/6+2/3.?(these are fractions, you're just adding fractions)
Answer:
4/3
Step-by-step explanation:
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2. So 8/6 / 2 gives you 4/3.
Answer:
4/3 or 1 1/3
Step-by-step explanation:
1. 4/6 + 2/3
2. 4/6 + 4/6 You have to find the LCM (least common multiple) of the two denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.
3. 4/3 or 1 1/3 Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.
what is Pi? explain.
Answer:
Pi is a irrational number
Step-by-step explanation:
Pi is an irrational number because it never ends it keeps going on and one.
Pi is also 3.141592654.............. never ends
Three students attempt to define what a line segment is.
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.
Answer:
S = 1 bag of popcorn
Y = 1 water
Step-by-step explanation:
S x 3 + Y x 4 = R
40 - R = (The Answer)
If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.
Answer:
3.78541 liters (sorry I'm horrible at rounding)
The life span of a graphing calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. You apply the normal model and discover that this is approximately 1.22% of their graphing calculators. Texas Instruments has sold 75 million graphing calculators world- wide. How many of these would you expect to malfunction within 3 months (and thus need to be replaced)? Explain.
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (X) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (X) = n × P (X)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
The giber family purchased a house for 127,000 the first five years they paid off 12,000 each year . How much money do they still owe on the house ?
Answer:
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