Associative property:-
a+(b+c)=(a+b)+cLets check one by one
#1
Here the rule is
(ab)c=a(bc)Hence Yes associative property
#2
Here the rule is
a(b+c)=ab+acHence no it's distributive property
#3
a(bc)=(ab)cYes
#4
ab=baNo
Associative property meaning rearranging the parentheses in an expression which will not change the result.
✔A)
[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]
[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]
This uses associate property as it is rearranged in a different way and result same.
B)
[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]
This property is called distributive property. a(b + c) = a(b) + a(c)
✔C)
[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]
[tex]\sf \rightarrow 138 = 138[/tex]
associate property as the following is rearranged inside the parentheses
D)
[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]
This does not fall under any method or else multiplicative identity property.
Choose the correct graph of the function y=-1/2√x+3+2
Find y intercept
[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2[/tex]
[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{2.368}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=1.184[/tex]
y intercept=(0,1.2)Option A
AB= 7 and BC= 5. Find AC.
-
A) 9
B) 12
D) 8
C) 18
Answer:
B
Step-by-step explanation:
It would help if you can actually show the points
The sphere below has a radius of 25 cm.
O
25 cm
Work out the volume of the sphere.
Give your answer correct to 1 decimal place.
Volume of sphere= tr3
cm3
Answer:
65449.8 cm3
Step-by-step explanation:
We start with the volume formula for a sphere: 4/3 πr3
We start with subbing in 25 to r, then we cube 25, which is equal to 15625.
We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.
which of the following are polynomials
Answer:
I think so Option D is the correct answer
Could someone help me with this?
Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have
[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]
Use Quadratic Formula,
[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
A is -16, B is 35 , C is 204.
So we have
[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]
[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]
The positve solution is
[tex]4.83[/tex]
So the answer is 4.83 seconds
Find the perimeter and area of the following triangle.
Answer:
perimeter=21 area=12
Step-by-step explanation:
perimeter- 5+6+10=21
area- b x h x 1/2
6x4/2
24/2
12
When 58,511 is divided by 21, the quotient is 2,786 R ___.
Numerical Answers Expected!
Answer for Blank
If you take the answer, 2786 and multiple by 21
You get 58,506
Which if you subtract from 58,511 you would get 5
Which is r
SOLVE please I need it fast it’s for 20 points so please
Step-by-step explanation:
I hope its helped ?? huhuhu sorry if im wrong:)
Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?
[tex]g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32[/tex]
a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answer:
Length: 360. Width: 240.
Step-by-step explanation:
360 * 2 = 720
240 * 2 = 480
720 + 480 = 1,200
SOLVE ASAP PLEASE Point theif = ban
Answer:
Given dimensions of room:
length = 12 ftwidth = 14 ftheight = 8 ftGiven cost of materials:
floor tiles = $4 per ft²wall & ceiling paint = $16 per 146 ft²Total square feet of floor = length × width
= 12 × 14
= 168 ft²
Total cost of flooring = $4 × 168
= $672.00
Total square feet to be painted = area of walls + area of ceiling
= 2(12 × 8) + 2(14 × 8) + (12 × 14)
= 584 ft²
Total cost of paint = (584 ÷ 146) × $16
= $64.00
Total cost to tile and paint the room = $672 + $64
= $736.00
help me please, need answer quick
Answer:
Option D is correct
The answer is 42 square unit.
Step-by-step explanation:
Given;a = 9 unitsb = 12 unitsh = 4 unitsTo Find;Area of TrapezoidFormula;Area = ½ (a + b) × hNow,
A = ½ (a + b) × h
A = ½ (9 + 12) × 4
A = (21) × 2
A = 42 square unit
Thus, The estimated area of the Trapezoid is 42 square unit.
-TheUnknownScientist 72
How do you graph y=-1/3x
Step-by-step explanation:
it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.
6. In June, Clarissa used 1 gigabytes
of data on her cell phone. Given that
June has 30 days, how much data did
she use on average per day?
Answer:
33.33 megabytes per day on average.
Step-by-step explanation:
is 1.3 greater than 1.52
What is the surface area of this rectangular prism?
198 in²
312 in²
396 in²
504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches
Answer:
it's 396
Step-by-step explanation:
I took the k-12 quiz math Surface Area quiz
At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?
find the area of circle o if DCBO is a rectangle and DB measure 10 units
Answer:
[tex]100\pi[/tex]
Step-by-step explanation:
Step 1: Identity the radius.
Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,
OC=OE.
Step 2: Consider the rectangle.
All diagonals in a rectangle are congruent so this means
DB= OC ( OC is also a diagonal).
Thus, OC= 10 units.
Step 3: Analyze
So this means OE is also 10 units as well.
Since we know the length of the radius, Use the area of circle,
[tex]\pi {r}^{2} [/tex]
[tex]\pi( {10}^{2} ) = 100\pi[/tex]
So the area of a circle is 100 pi.
Answer:
314.2 square units
Step-by-step explanation:
The diagonals of a rectangle are the same length, so segment OC is the same length as segment DB: 10 units. OC is a radius of the circle, which means the circle's radius is 10 units.
The area of a circle is given by ...
A = πr²
A = π(10 units)² = 100π units²
A ≈ 314.2 units²
The area of circle O is about 314.2 square units.
what is the equation of the following graph?
Answer:
Step-by-step explanation:
When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:
F - function (sine or cosine)
P - period
A - amplitude
R - reflections
H - horizontal/phase shift
M - midline
Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.
Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]
Hope this helps :)
find the value of x in the diagram
Answer: there is something off screen i cant see so i cant help you 183- what?
Step-by-step explanation:
What is 1/3 of 9/5 cookies?
Answer:
9/15 (0.6)
Step-by-step explanation:
(9/5) x(1/3)= 9/15
Answer:
32\15
Step-by-step explanation
please help I will mark BRAINLIEST
Answer:
Your answer is t>28
Have a nice day!
mark as brainliest
Answer:
T>28
Step-by-step explanation:
5th root of 0.06
please I need fast only answer
trigonometric formulas
Answer:
all shown in the picture !
Step-by-step explanation:
also shown in the picture
Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of 1.393 billion. If their visitors were proportional to Chicago, how many visitors could China expect? Write your answer in scientific notation rounded to two decimal places. Provide your answer below: x 10^ visitors
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.
How to apply direct proportions
A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.
Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:
x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶
x = 8.512 × 10⁶
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]
To learn more on direct proportions, we kindly invite to check this verified question: https://brainly.com/question/14389660
Vhat is the probability of flipping a coin 11 times and getting heads 3 times?
Found your answer to the nearest tenth of a percent.
Answer:
the answer should be 21 if it's there if I'm wrong let me know
2. Evaluate the function rule for the given value. y = 4.2 for x = -6
3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?
Answer:
The mean is 24 ( I think)
Step-by-step explanation:
SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.
The mean of magazines he sold is 24
Find the values of x for which the denominator is equal to zero for y=3x+5/x-6.
x = −5
x = 6
x = −6
none
Answer:
x=6 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the
sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14
for
The surface area of the sphere is about yd?.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
76,400
Step-by-step explanation:
I think this is right, not sure though.
Surface area of sphere:
[tex]4\pi \times r {}^{2} [/tex]
Circumference :
[tex]2(\pi \times r)[/tex]
489.84 = 2 × 3.14 × r
2 × 3.14 = 6.28
489.84 = 6.28 × r
radius = 489.84 ÷ 6.28
R =78
Surface Area = 4 × 3.14 × (78)^2
Surface area = 76,415.04
= 76,400