Associative property
Step-by-step explanation:Multiplication properties are different statements that are always true. These statements help prove that different operations can be performed on equations and still remain equal.
Associative Property
The associative property states that (a x b) x c = a x (b x c). This means that in any equation where only multiplication is present, the parentheses can be moved and the equation remains equal.
Other Examples
The associative property is always true; this means that we can create other examples.
Let's take the expression 4 x (2 x 9). As the property states, we can move the parentheses and create the new expression (4 x 2) x 9. Now we can set these expressions equal to each other.
4 x (2 x 9) = (4 x 2) x 9Due to the property we know that this equation must be true.
We can prove this property by working out each side of the equation. If we multiple both sides out we are left with 72 = 72. Since this is true the equation above must also be true.
Answer:
Step-by-step explanation:
It's called The Associative Property of Multiplication
(a * b) * c = a * (b * c)
Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>
Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, with the general [tex]n[/tex]-th term
[tex]a_n = a_1 + (n-1) d[/tex]
Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :
[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]
[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]
[tex]\implies 5a_1 + 20d = 17[/tex]
and
[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]
[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]
[tex]\implies 5a_1+25d= 15[/tex]
Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :
[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]
[tex]\implies 5a_1 = 25[/tex]
[tex]\implies \boxed{a_1 = 5}[/tex]
Find the remainder of (h4+ h² - 2) /(h+3).
Answer:
remainder is 88
Step-by-step explanation:
if
[tex]h = 3[/tex]
[tex]f( - 3) = { ( - 3)}^{4} + { (- 3)}^{2} - 2[/tex]
[tex]f( - 3) = 88[/tex]
which is the remainder
what is 300 in scintifiyc notation?
300 written in scientific notation is 3 × 102.
hope this was helpful.
Step-by-step explanation:
The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence
80 40 20 10 5
Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms
Angad and Alex have played 40 tennis matches.
Angad has won 16 times.
Alex won the rest.
a) Estimate the probability that Angad wins.
b) Estimate the probability that Alex wins.
Answer:
estimate the probability that angad wins
GIVING BRAINLIEST!!!!!
plane PBC is right answer.
it's a logical answer....
Answer:
Plane PBC
Step-by-step explanation:
Plane PBC contains 4 points : P, B, C, and Q.
The question asks which contains all three of C, Q, and P.
The plane is Plane PBC1. what are the amounts of interest and maturity value of a loan for 250,000.00 at 5.5% simple interest for 4 months?
the amount of maturity is 254583
3 x 5/6 = ? x 1/6
those are fractions btw and what number makes the equation true?
PLEASE NO LINKS
Answer:
15
Step-by-step explanation:
[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]
19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56
Answer:
b.42
Step-by-step explanation:
the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.
so then total number of frogs is 42.
What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f
Answer:
[tex]-53+22i[/tex]
Step-by-step explanation:
You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:
[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]
Hi, please choose the correct answer. please
Answer:
y = -x + 1
Step-by-step explanation:
I just checked it in the desmos graphing calculator and it was correct.
Answer:
y = -x + 1.
Step-by-step explanation:
The graph rises to the left so has a negative slope.
slope = -1 and y-intercept = 1
What is the approximate Volume of the cone below?
Answer:
B - 183 cm3
Step-by-step explanation:
volume of a cone is 1/3 x pi x r^2 x H
Answer:Your answer is going to be D
Step-by-step explanation:
1/3 x 3.14 x 10^2 x 7 =732.66
a. If the swimming pool is 4 feet deep, what is the approximate volume of the swimming pool?
Answer:
64 ft³
Step-by-step explanation:
given that l = 4 ft
Since a swimming pool is like a cube
:- V= l³
V = 4³
V = 64 ft³
solve the equation by completing the square. x²+6x-4=0
Answer:
x = √13 - 3
x = -√13 - 3
Step-by-step explanation:
Given :
x² + 6x - 4 = 0Solving :
x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9](x + 3)² - 13 = 0 [Group the square term together](x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]√(x + 3)² = √13 [Taking square root on both sides]x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]x = ±√13 - 3Solutions :
x = √13 - 3x = -√13 - 3what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1) form quadrilateral UVWX?
The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.
What is Distance Formula?Algebraic expression that gives the distances between pairs of points in terms of their coordinates
Given that: U(7,9), V(0,5), W(-6,-3) ,X(1,1)
The length can be find by using Distance Formula,
Length of UV,
= [tex]\sqrt{(0-7)^{2} + (5-9)^{2}}[/tex]
= [tex]\sqrt{49+16}[/tex]
= √65 units
Length of VW,
= [tex]\sqrt{(-6-0)^{2}+(-3-5)^{2}}[/tex]
= [tex]\sqrt{36 + 64}[/tex]
=√100 units
= 10 units
Length of WX,
=[tex]\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}[/tex]
= √49+ 14
= √65 units
Length of XU,
= [tex]\sqrt{(7-1)^{2}+(9-1)^{2}}[/tex]
= √36+64
=√100 units
= 10 units
Length of UW,
= [tex]\sqrt{(-6-7)^{2}+(-3-9)^{2}}[/tex]
= √169+144
=√313 units
Length of VX,
= [tex]\sqrt{(1-0)^{2}+(5-1)^{2}}[/tex]
= √1+16
=√17 units
Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.
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Which expression is equivalent to startfraction 4 f squared over 3 endfraction divided by startfraction 1 over 4 f endfraction? startfraction 16 f cubed over 3 endfraction startfraction f over 3 endfraction startfraction 3 over 16 f cubed endfraction startfraction 3 over f endfraction
The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
What is quotient?The quotient of numbers or expressions is the division of a number or expression by another
How to determine the equivalent expression?The expression is given as:
[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]
Rewrite as a product expression
[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]
Evaluate the product of 3 and 1
[tex]\frac{4f^2}{3} \times 4f[/tex]
Evaluate the product of 4f^2 and 4f
[tex]\frac{16f^3}{3}[/tex]
Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]
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Answer:
its A
Step-by-step explanation:
On edge its the first answer
Ms. Wimbley surveyed the middle school and found out that 70 students want to go to sky zone for the end of the year field trip. This represents 14% of the middle school. How many students are in the middle school?
Answer:
500
Step-by-step explanation:
If 700 is 14%, then x=100%
We do:
700=14%
x=100%
Then, we cross multiply to get
14x=7000
We divide 14 on each side, and get x=7000/14 which is x=500
So there are 500 total students in the middle school
Hope this helped you! If the answer is wrong, please tell me and I will correct it. Also, I would appriceate if you gave me a Brainliest. It means a lot to me :D
100 POINTS SOMEONE PLEASE HELP
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.
Answer:
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned
find the missing length
Answer:
Step-by-step explanation:
15^2 - 12^2 = a^2
225 - 144 = 81
a^2 = 81
a=9
please help me I have been working on this for 20 minutes
Answer:
First Figure:
Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.
E.) x° = 90° - 68° -----> x° = 22°
Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.
H.) y° = 180° - 90° - 22° -----> y° = 68°
Second Figure:
A similar process can be taken for the second figure.
T.) x° = 180° - 90° - 74° -----> x° = 16°
E.) y = 90° - 50° -----> y° = 40°
Third Figure:
Again, remember that right triangles = 90° and lines = 180°.
C.) w° = 180° - 90° - 31° -----> w° = 59°
R.) x° = 90° - 28° -----> x° = 62°
H.) y° = 180° - w° -----> y° = 180° - 59° -----> y° = 121°
Find the arc length of an arc with a Central angle of 2π/3 radians and a radius of 6 units
Answer:
Step-by-step explanation:
I NEED HELP!!!!
[tex]3(7+7i)+i(7+7i)[/tex]
Thanks!:)
Solve the equation:-
[tex]3(7 + 7i) + i(7 + 7i) \\take \: common \: (7 + 7i) \: out\\ (7 + 7i) (3 + i) \: is \: your \: answer [/tex]
Open the equation:-
[tex]3(7 + 7i) + i(7 + 7i) \\ 21 + 21i + 7i + 7 {i}^{2} \\ 7 {i}^{2} + 28i + 21 \: \: answer[/tex]
Find the prime factorization of 945
Answer:
3 × 3 × 3 × 5 × 7
A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve
Answer:
6 miles
Step-by-step explanation:
20.00 - 2.00 = 18
18/3 = 6
she can travel 6 miles
-0.5 = - m/6=
First answer get to be brainliest!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
-0.5=-m/6. what is m?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First, multiply both sides by 6 to get rid of the fraction:-
▪︎ -0.5*6=-m/6*6
On the RHS, the 6's cancel:-
◆-0.5•6=-m
Multiply:-➪ [tex]\it{-3=-m}[/tex]
Divide by -1 on both sides:-➪ [tex]\it{3=m}[/tex]
❒So we conclude that the value of m is 3.
✥ Good luck with your studies. ✥- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
m = 3
Step-by-step explanation:
⇒ -0.5 = - m/6
Divide both sides by -1.
⇒ -0.5/-1 = -m/(6 × -1)
⇒ 0.5 = m/6
Multiply both sides by 6.
⇒ 0.5 × 6 = m/6 × 6
⇒ m = 3
Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle B has a radius of 18 inches. True or false?
2. Circle B has an area of approximately 103. 14in2. True or false?
3. The distance around Circle A is 20.5 inches longer than Circle B. True or false?
Answer:
1. False
2. True
3. true
Step-by-step explanation:
The first answer is false, the second one is true and the third is true
what is the value of...
4x - x + 5, when x = 3
???
Answer:
The value of 4x-x + 5 when x + 3 is 14
Step-by-step explanation:
4(3)= 12 - 3= 9 + 5= 14
The value of 4x - x + 5 when x = 3 is 14.
To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.
Plugging in x = 3, we have:
4(3) - 3 + 5
Now let's simplify each term:
4(3) = 12
-3 = -3
Now we can substitute the simplified terms back into the expression:
12 - 3 + 5
Next, we perform the addition and subtraction in order from left to right:
12 - 3 = 9
9 + 5 = 14
Therefore, the value of 4x - x + 5 when x = 3 is 14.
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if u answered on the same 1 move on
help me i dont get this
The two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
How to make a two-way table from the frequency table?The table is given as:
Aerobic Anaerobic
Male 88 104
Female 96 62
The column total are:
Aerobic = 88 + 96 = 184
Anaerobic = 104+ 62 = 166
So, we have:
Aerobic Anaerobic
Male 88/184 = 0.48 104/166 = 0.63
Female 96/184 = 0.52 62/166 = 0.37
The total count of the table is
Total = 184 + 166 = 350
So, we have:
Aerobic Anaerobic Total
Male 0.48 0.63 (88 + 104)/350 = 0.55
Female 0.52 0.37 (96 + 62)/350 = 0.45
Hence, the two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:
Aerobic Anaerobic Total
Male 47.8% 62.7% 54.9%
Female 52.2% 37.3% 45.1%
100% 100% 100%
What are the relative and marginal frequencies given?The frequencies for males are:
Aerobic = 88 / (88 + 96) Anaerobic = 104 / (104 + 62)
= 47.8% = 62.7%
For females:
Aerobic = 100% - 47.8% Anaerobic = 100 - 62.7%
= 52.2% = 37.3%
Total males frequency: Total females
= (88 + 104) / (88 + 104 + 96 + 62) = 100% - 54.9%
= 54.9% = 45.1%
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Double tap to add title • AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC? A 1200 B w c D 85
Answer:
Step-by-step explanation:
Which expressions are equivalent to the given expression?
√80
80²
☐ 4√10
160²
8√5
4√5
Answer:
4 root 5
Step-by-step explanation:
√80 = √ 16 X √5
√16 = 4
so 4√5