Answer:
Yes.
Step-by-step explanation:
Associative property of multiplication is:
(A×B)×C = A×(B×C).
It says that "The way of grouping of terms doesn't change the product."
So, given example (2×3)×4=2×(3×4) is an example of associative property of multiplication.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A contractor decides that he can build a house in eight weeks using 5 men. If he employs 3 more men, how long will the job take? Assume that all the men work at the same rate.
if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b
Answer:
(cotA − 1) (cotB − 1) = 2
Step-by-step explanation:
A+B= π/4 = 180°/4 = 45°
A+B=45°
∴ cot(A+B)=cot45°
∴ cotBcotA−1 / (cotB+cotA) = 1
⇒cotB + cotA = cotBcotA = 1
⇒cotB + cotA − cotBcotA + 1 = 0
⇒cotBcotA − cotB − cotA − 1 = 0
⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2
⇒cotBcotA − cotB − cotA + 1 = 2
⇒cotB(cotA − 1) (cotA − 1) = 2
⇒(cotA − 1) (cotB − 1) = 2
Proved
The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive a bus to work?
Car: 758
Bus:530
Walk:7
Other:105
Total:1400
Answer:
about 0.38 %
Step-by-step explanation:
Total = 1,400 Employees
Those who drive a bus = 530
530 / 1,400 = 0.378571428571429
round up = about 0.38 %
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 515 randomly selected adults showed that 55% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is______
Answer:
257.5 of the 515
Step-by-step explanation:
x²- 8x-9=0 i need some help over here
Answer:
(x+1)(x-9)
Step-by-step explanation:
Break the equation: x²- 8x-9=0 into groups:
([tex]x^{2}[/tex]+x)+(-9x-9)
Factor X out of [tex]x^{2}[/tex]+x: x(x+1)
Then Facor -9 out of (-9x-9): -9(x-1)
This means that you can simplify these 2 equations: (x-9) & (x+1)
So your answer is: (x+1)(x-9)
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!
Answer:
A.
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See below
Step-by-step explanation:
Dilation of 4
Z (0, -1) Z' (0, -4)
X (1, -1) X' (4, -4)
Write 1.96 as a percent and as a fraction,
Pls help i neeed to get my grade up badly
Step-by-step explanation:
12 - 1/2r = ( 13 - 3/2r ) - ( 1 - r )
r - 13/6 = ( 7r - 3/2 ) - ( 2/3 + 6r )
13r + 20 = ( 6r + 7 ) + ( 13 + 7r )
-12 + r = ( -8 - r ) + ( 2r - 4 )
Evaluate each of the following limits.
a. lim 8(2 + h) – g(2)
if gt) = VI + 7
h
h→0
How do you solve this?
Answer:
lim = 1/6
Step-by-step explanation:
Apparently, we have ...
[tex]g(t)=\sqrt{t+7}[/tex]
It often works well to multiply by the conjugate of a difference that approaches zero.
[tex]\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}[/tex]
What is an equivalent ratio
Answer:
Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)
Question 3 options:
1)
tablespoons
2)
tablespoon
3)
tablespoon
4)
tablespoon
Answer:
the answer 3/5 lets hop i ace it
Step-by-step explanation:
Três torneiras enchem uma piscina em 10 horas quantas horas levarão 10 torneiras para encher 2 piscinas
Answer:
Step-by-step explanation:
There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?
The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.
The formula of the volume of a sphere is given below
⇒ Formula:
V = 4/3(πr³)................. Equation 1⇒ Where:
V = Volume of the spherer = radius of the sphereπ = constant called pieFrom the question, There are two spheres.
If the radius of the bigger sphere is two times the radius of the smaller sphere.
R = 2r⇒ Where
R = bigger radiusr = smaller radiusFor the bigger sphere
⇒ Substitute these values into equation 1
V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2For the smaller sphere,
V' = 4/3(πr³)............... Equation 3⇒ Comparing equation 2 and equation 3
V = 8V'Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.
Learn more about volume here: https://brainly.com/question/1972490
What is the point of intersection for the graphs of the equations 4x-y=6 and x+y=4
Answer:
(2,2)
Step-by-step explanation:
4x-6 = 4-x
5x = 10
x = 2
y = 4-2 = 2
(2,2)
Marty has 6 cans of pain that he can use for the 3 bedrooms he needs to paint. How much paint can Marty use in each bedroom?
help me please please
Answer:
i think its D or 14/16
Step-by-step explanation:
Answer:
[tex]\frac{14}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] + [tex]\frac{10}{16}[/tex]
Before adding we require the denominators of both fractions to be common
Multiply numerator/ denominator of first fraction by 4
= [tex]\frac{1(4)}{4(4)}[/tex] + [tex]\frac{10}{16}[/tex]
= [tex]\frac{4}{16}[/tex] + [tex]\frac{10}{16}[/tex] ( now add the numerators leaving the common denominator )
= [tex]\frac{4+10}{16}[/tex]
= [tex]\frac{14}{16}[/tex]
The fraction can be simplified by dividing the numerator/ denominator by 2 to
[tex]\frac{7}{8}[/tex]
help me please!! <33
13/20 - 1/2
===================================================
Explanation:
Ignore the big X and the shading for now. This figure has 4 rows by 5 columns of rectangles. So there are 4*5 = 20 little rectangles total. Each little rectangle represents 1 brownie.
Then let's say the shaded region represents the amount of brownies Mary receives. We have 13 rectangles shaded in out of the 20 total. This means 13/20 is the fractional amount Mary gets.
She then eats 10 of the 20 total, so she eats 10/20 = 1/2 of the brownies.
Therefore, we end up with the expression 13/20 - 1/2 to represent the fractional amount that Mary still has that she hasn't eaten yet (which is 3/20).
We can say: 13/20 - 1/2 = 13/20 - 10/20 = 3/20
Plz help I need help
Find the total area of the shape shown below in square feet. Enter only the number.
16 feet
5 feet
12 feet
9 feet
7 feet
7 feet
The solution is
Answer:
129, because you split the shape into two find the area of them separately and then add them up
a book is marked down by 28% from the original price of 19.50 what is the new price
Answer:
$14.04
Step-by-step explanation:
to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%
19.5 * 72% = 14.04
it costs $14.04 after a markdown of 28%
Find the area and perimeter of the shape given below.
Answer:
perimeter: 14+5+6+6+8+10=59
area: 14x5x6x10=4200
perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.
Find the 60" term of the following arithmetic sequence.
6, 13, 20, 27,
..
[tex]\text{First term, a =6}\\\\\text{Common difference, d = 13 -6 = 7}\\\\\text{Nth term} = a+(n-1)d = 6 +(n-1)7 = 6+7n-7 = 7n-1\\\\\text{60th term} = 7(60) -1 = 419[/tex]
Help help help help please business
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
[tex]2x+20=3x-15[/tex]
Then, just solve for x:
[tex]20=x-15\\35=x\\x=35[/tex]
You can check that by plugging it back into both:
[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]
Answer:
x = 35
Step-by-step explanation:
The angles shown are corresponding angles
Corresponding angles are congruent ( equal to each other )
This means that 2x + 20 should equal 3x - 15
Note that we've just created an equation that we can use to solve for x
We know use that equation to solve for x
2x + 20 = 3x - 15
add 15 to both sides
2x + 35 = 3x
subtract 2x from both sides
35 = x
And we are done!
Darla scored 18 points in her last basketball game, shooting only 2- and 3-point shots. If she made 7 total
Answer:
3 2-pt shots, 4 3-pt shots
Step-by-step explanation:
2x + 3y = 18
x + y = 7, so x = 7 - y
Substitute in for x
2(7 - y) + 3y = 18
14 - 2y + 3y = 18
14 + y = 18
y = 4
Now put 4 in for y to solve for x
2x + 3(4) = 18
2x + 12 = 18
2x = 6
x = 3
classify the conic section without graphing 3x^2-2xy+3y^2+2x-4y+1=0
Circle: When x and y are both squared and the coefficients on them are the same — including the sign.
For example, take a look at 3x2 – 12x + 3y2 = 2. Notice that the x2 and y2 have the same coefficient (positive 3). That info is all you need to recognize that you’re working with a circle.
Parabola: When either x or y is squared — not both.
i am big brain
PLEASE HELP ME:))
what’s the value of x?
\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]
PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answer:
-12x²-48x-42.5
Step-by-step explanation:
In a survey of 1900 people who owned a certain type of car, 1140 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
60% of the people surveyed were satisfied with the car
Step-by-step explanation:
1140 satisfied people / 1900 total people = 0.60 = 60% satisfied people