Answer:
steps below
Step-by-step explanation:
15 tan³x=5tanx .... (0,2π)
5tanx(3tan²x - 1) = 0
tanx = 0 x = π (0° is excluded)
or 3tan²x - 1 = 0
(√3 tanx + 1) (√3 tanx - 1) = 0
tanx = 1 /√3 x = π/6 (30°) or x = 5π/6 (150°)
tanx = - 1 /√3 x = 7π/6 (210°) or x = 11π/6 (330°)
Choose all the numbers that could be common denominators for 11/12 and 4/5.
Answer:
60
Step-by-step explanation:
list down the multiples of 12 and 5 to find the answer
HOPE THIS HELPS YOU
60 is the numbers that could be common denominators for 11/12 and 4/5.
What is multiplication?In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.
here, we have,
given that,
11/12 and 4/5.
We have to do, the multiples of 12 and 5 to find the answer.
i.e. 12 * 5 = 60
so, 60 is the numbers that could be common denominators
Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.
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A mixed nuts factory makes a 10 pound mixture of almonds, walnuts, and
cashews. Almonds cost $1.25 per pound, walnuts cost $2.75 per pound,
and cashews cost $3.15 per pound. The mixture calls for twice as many
almonds as walnuts. The total cost of the mixture is $18.90. How much of
each ingredient did the store use?
This is a System of equations problem
Answer
x+y+z=10
1.25x+2.75x+3.15x+18.90
x=2z
Step-by-step explanation:
x=almonds
y=walnuts
z=cashews
9514 1404 393
Answer:
6 pounds almonds3 pounds walnuts1 pound cashewsStep-by-step explanation:
We can let a, w, c represent pounds of almonds, walnuts, and cashews, respectively. Then the given relations are ...
a +w +c = 10 . . . . . total pounds of nut mix
a = 2w . . . . . . . . . twice as many almonds as walnuts
1.25a +2.75w +3.15c = 18.90 . . . . total cost of the mix
__
Solving the system of equations can proceed by any of the methods you have learned for systems of two equations in two unknowns. Substitution, elimination, and matrix methods all work. Graphing methods are also available.
We can easily reduce this system to two equations in two unknowns by using the second equation to substitute for 'a'.
2w +w +c = 10 ⇒ 3w +c = 10
1.25(2w) +2.75w +3.15c = 18.90 ⇒ 5.25w +3.15c = 18.90
Solving the first of these equations for c, then substituting into the second of these equations gives ...
c = 10 -3w
5.25w +3.15(10 -3w) = 18.90
-4.20w +31.50 = 18.90 . . . . simplify
12.60 = 4.20w . . . . . . . . . . . add 4.20w -18.90
3 = w . . . . . . . . . . . . . . . . . . . divide by 4.20
c = 10 -3(3) = 1 . . . . . . . . . . . use the expression for c
a = 2(3) = 6 . . . . . . . . . . . . . use the expression for a
The nut mix used 6 pounds of almonds, 3 pounds of walnuts, and 1 pound of cashews.
_____
Additional comment
The attached graph shows one way to obtain a graphical solution. The first and third equations were solved for c, and those expressions were set equal to obtain the graph for the red line. The blue line is the second equation. Here, we have used (x, y) for (a, w). The solution for these variables is (a, w) = (6, 3). Using the first expression for c gives c = 10 -(6+3) = 1. This is the same solution as above.
Javier says that when you add a positive and a negative number the sum is always negative. is Javier or statement true or false explain your reasoning
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The Above statement is incorrect, because if the positive number is equal to the numerical value of negative number then their sum will be zero, and If the numerical value of positive number is greater than that of negative number then the sum will be a positive number, so the probability is of both three, the sum can be positive, negative as well as zero.
Answer:
The above statement is false.
Explanation:
If the positive number is greater than the negative, then it will stay positive.
Ruby has $130 saved. She is saving $15 dollars more each week. In how many weeks will she have $400 saved to buy the new phone she wants?
You answer is In 18 weeks he'll have the $400 for the new phone.
I know this because she needs 400 but already has 130 so (400-130=270)
This means that Ruby is missing 270 to get to the 400 that he needs for the phone.He gets $15 per week so now that's (270/15=18).Which means that in 18 weeks Ruby will complete to full $400 that he needs for a new phone.
The required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Ruby has $130 saved. She is saving $15 dollars more each week.
According to given question we have
let x represent the number of weeks
she saves $15 each week,
then in x weeks she will save = 15x dollars.
Add this to the 130 she has already saved, and at the end of each week we get
15x + 130dollars.
So,
15x + 130 = 400
Subtract 130 from both sides we get
15x-130+130=400-130
15x=270
Divide by 15 on both sides we get
x=18
Therefore, the required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.
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What’s an equivalent fractions for 6/8 with a 20 as the new denominator
Answer:
15/20
Step-by-step explanation:
Divide your denominator by your previous/compared denominator (20/8) to find the number as your numerator. Take the found numerator (2.5) and multiply it times the compared numerator (2.5 x 6) giving your 15/20.
Hopes this helps!
(-6,7) (0,3)
I'm having treble finding the slop I need the sem
Did you use the formula
gradient =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
??
I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it
state the domain and range of the function:
y = -(x+8)^2 +9
Domain: All real numbers (-infinity, infinity)
Range: [9, -infinity)
20,003x 6 using distributive property of multiplication
Answer:
360
Step-by-step explanation:
20.3 x 6
What is the zero of f?
-5
2
-2
5
Answer:
0
Step-by-step explanation:
Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:
Answer:
9a-3
Step-by-step explanation:
a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3
Find the least common denominator (LCD) of 5/8
and 1/4
Answer:
8
Step-by-step explanation:
1. 1/4 × 2/2 = 2/8 (denominator is 8)
2. 5/8 × 1 = 5/8 (denominator is 8)
Therefore, the common denominator is 8.
Indicated operation? Perform it?
Round 0.0625 to the nearest hundredth
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply.
A. One pound of pistachios plus 1 pound of almonds cost $20.
B. The pistachios cost twice as much per pound as the almonds.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
The options that are true include:
A. One pound of pistachios plus 1 pound of almonds cost $20.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Cost of almond = a
Cost of pistachios = a + 4
Therefore, based on the information given, the equation to solve the question will be:
2(a + 4) + 3a = 48
Collect like terms
2a + 8 + 3a = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
Almonds cost $8
Pistachios cost $12
In conclusion, the correct options are A, C, and E.
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Lindsey sold stationery to her family and her mother's friends shw deposited the $125 shw earned in a savings account. The account earns 5.18% interest annually. If she does not deposit or withdraw any money for 18 months how much will she have in her account
Answer:
$134.71
Step-by-step explanation:
A = P(1 + rt)
A = Amount after t months or years
P = Principal or amount saved
r = interest rate = 5.18% = 0.0518
t = time.in years = 18 months
= 1 year and 6 month
= 1.5 year
A = $125( 1 + 0.0518 × 1.5)
A = $125 ( 1 + 0.0777)
A = $125(1.0777)
A = $134.71
III
O SYSTEMS OF LINEAR EQUATIONS
At a basketball game, a vendor sold a combined total of 150 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of here
Penny reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?
it would probably be 7, since 1 hour and 30 minutes would be 90 minutes, and she read 10 pages in that long, it would most likely be one page every 10 minutes, but since she read 10 in 90 minutes and not 9, I believe we would add 1 extra page to the amount she read in one hour, and since one hour is 60 minutes, it would probably be 6 + 1, which is 7.
hopefully Im right and this was helpful.
Z
What is m 2?
y
+
What is m 1?
1
4
13 16
2/3
>
14 15
х
5
75°
912
6
7
10 11
w
Answer:
M.2, formerly known as the Next Generation Form Factor, is a specification for internally mounted computer expansion cards and associated connectors. M.2 replaces the mSATA standard, which uses the PCI Express Mini Card physical card layout and connectors.
Step-by-step explanation:
This question does not make sense!
PLEASE ANSWER THIS AS SOON AS POSSIBLE.
....................... hello again!
Answer:warts up man
Step-by-step explanation:
PLEASE HELP !!
What's the domain and range of the exponential growth function?
Answer:
you have to multiply the dividend by 2x+9y/22y
Step-by-step explanation:
What is reciprocal of 2 1/2
Answer:
0.4
Step-by-step explanation:
type in a calculator 1 divide by 2.5 to get the answer
What is the length of the line segment with endpoints (11.6, −4.1) and (−12.5, −4.1) ?
Enter your answer as a decimal in the box.
helllpppp
Answer:
24.1 units
Step-by-step explanation:
Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
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A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
O
Р
lab
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
Let A, B, C, X be sets with A, B, and C are subsets of X. Prove the following set equalities
a) (A ∩ B)' = A' ∪ B'
Answer:
[tex] let \:x \in (A\cap B)'\\\Rightarrow x \notin (A\cap B) \\\Rightarrow x \notin A \:or\: x\notin B\\ \Rightarrow x \in A' \:or \:x \in B'\\\Rightarrow x \in A' \cup B'\\\therefore (A ∩ B)' = A' ∪ B' [/tex]
It is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.
What is a set ?
Sets are represented as a collection of well-defined objects or elements.
It is given that A , B , C , X are sets with A , B and C are subsets of X.
Let's assume X be an element of A intersection B complement. or (A ∩ B)'.
i.e.,
X ∈ (A ∩ B)'
Also , we can say that :
X ∉ ( A ∩ B)
This implies :
X ∉ A or X ∉ B
or we can also say that :
X ∈ A' or X ∈ B'
or
X ∈ A' ∪ B'
So , we can conclude that :
(A ∩ B)' = A' ∪ B'
or A Intersection B complement is equal to the union of the complements of the sets A and B.
Therefore , it is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.
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What must be the length of PQ in order for AJKL to be
similar PQR
9514 1404 393
Answer:
(d) 18
Step-by-step explanation:
If ΔJKL ~ ΔPQR, then we must have ...
PQ/JK = QR/KL . . . . . ratios of corresponding sides are the same
PQ = JK×QR/KL = 12×9/6 = 2×9
PQ = 18
Answer:
18
Step-by-step explanation:
The scale factor for this is 1.5,
JL = PR
JL is 14, and PR is 21, 14 * 1.5 = 21
KL = QR
KL is 6, and QR is 9, 6 * 1.5 = 9
So we do the same for JK and PQ
Since PQ is 12, we need to find what 12 * 1.5 is.
12 * 1.5 = 18
PQ = 18
Witch of the following expressions are equivalent to 6+(-4)-5 A -(-6+4)-5 B 6-4-(-5) C 6-(4+5) D 6+4-5 E -(-6)+(-4)-(-5)
Answer:
c is your answer
Step-by-step explanation:
have a nice day!
Question
A square has an area of 81 square inches. How long are its sides?
Someone please I need help ASAP !!
Answer:
Step-by-step explanation:
it is like 9x9=81
but yeah like he said it is a square so all sides are the same
but that is if you want to find the parameter
this question is talking about area
so when a question gives you an area you ask yourself what can be multiplied by what in order to give me the area
or since all sides are the same like he said you could just do simple division and do 81/9 which will =9
and since the question mentions that the area is in square inches it is obvious that the answer would be put in inches
answer: 9 inches
Halla el 72% de 40 por favor ayúdenme a verificar si lo hice correcto
Find the surface area 5 8 10
Answer:
340
Step-by-step explanation:
last time I got this type of question, I either just multiplied it or sum, try doing different methods if u can because I got this question right and I forgot how I did it, but I feel like I multiplied something
Answer:
340
Step-by-step explanation:
which is the result of the surface area