Trignometric equation can be used to answer this:
What is trignometric equation?A trigonometric equation is any equation that contains a trigonometric function. Up until now we have introduced trigonometric functions, but not fully explore them. In the lessons within this SparkNote on trigonometric equations, we'll learn exactly how to solve trigonometric equations.As mentioned in Trigonometric Identities, a trigonometric equation that holds true for any angle is called a trigonometric identity. There are other equations, though, that only are true for certain angles. They are generally known as conditional equations, but in this text we'll just call them equations. We'll learn some techniques for solving general equations, as well as how to derive an infinite number of solutions to an equation based on a single solution to that equation.acc to our question-
5. cos(75)= 2-√3
6. tan(22/7)= 1+√2
7. sin 3π/6= √2-√√2/2
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How to solve: 24 - (5 + 3)^2 + 4 × 2^3 step by step.
The value of the exponent given as 24 - (5 + 3)^2 + 4 × 2^3 is -8.
What is an exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this case, the value given will be expressed thus:
= 24 - (5 + 3)^2 + 4 × 2^3
= 24 - (8)² + 4 × 8
= 24 - 64 + 32
= -8
The value is -8.
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What has no solutions in common with 6x+2y=12
Answer:
-6x - 2y = 12
Step-by-step explanation:
At which step did Fatu make an error, if at all?
Choose 1 answer:
A
Step 1
B
Step 2
С
Step 3
D
Fatu's work is correct.
Answer:
Step 3
Step-by-step explanation:
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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QUESTION 11 1 POINT
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.
Provide your answer below:
16
30
what is 6 x 18 using the distributive property
Answer:
6 x (9 + 9), (6 x 9) + (6 x 9), 54 + 54 = 108
Those are the answers for the blanks, hope this helped! :)
A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P (red or blue).
Answer:
\(\frac{5}{8}\)
Step-by-step explanation:
The total number of marbles is \(6+6+4=16\).
Out of these, [tex)6+4=10\) are red or blue.
Thus, the required probability is \(\frac{10}{16}=\frac{5}{8}\).
Which right circular cylinder has the greater volume?
r = 2
h = 4
r= 1
h = 8
O A) The red cylinder.
OB) The blue cylinder.
OC) They have the same volume
OD) There is not enough information to tell.
Answer:
r = 2
h = 4
vol for r = 2 and h = 4 has the greater volume
Step-by-step explanation:
vol for r = 2, h = 4
= pi * r ² * h
= 50
vol for r = 1, h= 8
= pi * r ² * h
= 25
therefore : vol for r = 2 and h = 4 has the greater volume
The price of a certain item is P dollars. The sales tax on the item is 7%. Which expressions represent the total cost of the item, in dollars, after the tax has been applied? Select EACH correct anwser
0.07P 1.07P P+0.07P 1+0.07P (1+0.07)P
Step-by-step explanation:
P = $ Dollars
Item = 7%
Answer
item 7/100 = 0.07/1 item
(1+0.07) P
Write the equation of the line in slope-intercept form that has a slope of -2 and passes through (3, 3)
Answer:
y = -2x + 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -2
Point (3, 3)
Step 2: Find equation
Substitute in slope [Form]: y = -2x + bSubstitute in point: 3 = -2(3) + bMultiply: 3 = -6 + bIsolate b: 9 = bWrite equation: y = -2x + 9I need help with number nine please and thank you for your help
1 yard = 3 feet
So:
20 yards = 20 x 3 = 60 feet
She says is 720 feet long
She is wrong
How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31
To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.
We are given the following measures:
\(\sf\:m\angle AB = 56 \\\)
\(\sf\:m\angle BC = 59 \\\)
\(\sf\:m\angle CD = 63 \\\)
\(\sf\:m\angle DE = 63 \\\)
\(\sf\:m\angle EF = 31 \\\)
To find the measure of the geometry-big circle, we add up these measures:
\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)
Substituting the given values:
\(\sf\:56 + 59 + 63 + 63 + 31 \\\)
Simplifying the expression:
\(\sf\:272 \\\)
Therefore, the measure of the geometry-big circle is 272.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
compare: These two equations
Using translation concepts, we have that:
Function f(x) underwent a reflection over the y-axis.Function g(x) underwent a reflection over the x-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.
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a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
the sum of four number is 20500.three of the numbers are 2341.578 and 10690.What is the fourth number?
Answer:
5216.844
Step-by-step explanation:
Let x be the fourth number.
We know that the sum of the four numbers is 20500:
2341.578 + 10690 + x + 2341.578 = 20500
Simplifying and solving for x:
x = 20500 - 2341.578 - 10690 - 2341.578
x = 5216.844
find the maximum value of c=6x+2y
Answer:
∞
Step-by-step explanation:
c can have any value you like.
There is no maximum. We say it can approach infinity.
__
Additional comment
There may be some maximum imposed by constraints not shown here. Since we don't know what those constraints are, we cannot tell you what the maximum is.
Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 2 vertical stripes, all of different colors.
How many possible flags can be created?
When given a palette of 16 colors to work with and the desire to create a flag with two vertical stripes made up of all different hues, 240 different flags are feasible.
what is permutation ?If the set is now sorted, or if the individuals are arranged in a sequential or sequential sequence, permuting is essentially gradually moves its pieces around. In this context, this same term "permutation" is used to describe the process of changing the vertical order of either an ordered set. Possible combination is the mathematical method that determines the number of alternative configurations for a given set. In its simplest and basic form, variation refers to the number of conceivable configurations or orders. With permutations, the arrangement of the components is important. A permutation is an arrangement of objects in some kind of a particular order. Here, various elements in the set are organized either in linear or chronological order.
given
Considering that each stripe will be a distinct color:
16 different things are consumed two at a time, and there are...
16P2 = 16·15
= 240
Each one of the 16 colors in the palette can be the first color. Any of the remaining 15 colors, as well as the second color, must be distinct.
When given a palette of 16 colors to work with and the desire to create a flag with two vertical stripes made up of all different hues, 240 different flags are feasible.
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Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answer:
Step-by-step explanation:
A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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Using the table of integrals, solve
The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.
The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.
To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.
It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.
Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.
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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A
How do we solve function using table of integral?Using the table of integral, we say
∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx
u = x+7 ⇒ du = dx
= ∫sec (u) du
Expand the fraction by tan (u) + sec (u)
= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)
= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du
Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du
= ∫(i/v)dv
= In(v)
Undo substitution v = tan(u) + sec(u)
=In(tan(u) + sec(u))
= In(tan(x+7) + sec(x +7))
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Julie and Shawna ordered a pizza. Julie ate 3/8 of the pizza and Shawna ate 5/16 of the pizza. Who
ate more of the pizza? Justify your answer with work or an explanation.
Find the length of side
x in simplest radical form with a rational denominator.
Thanks in advance
Answer:
2
Step-by-step explanation:
Pythagoras. c² = a² + b²
since both "side angles" are equal (45 degrees), we know it is an isosceles triangle, that means also the other side = x.
and so,
8 = x² + x² = 2x²
4 = x²
x = 2
Answer:
x = 2
Step-by-step explanation:
sin(45)/x = sin(90)/\(\sqrt{8}\)
\(\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}\)
x = \(\sqrt{8}\) \(\sin \left(45^{\circ \:}\right)\)
\(x = \sqrt{8} \frac{\sqrt{2}}{2}\)
x = \(\frac{\sqrt{16} }{2}\)
x = 4/2
x = 2
A sample of 66 observations will be taken from an infinite population. The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is0.05680.07780.42220.9222
The probability that the sample proportion will be less than 0.9222.
Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.
P( p<0.1768 ) = P( X < 11.6688), where X = p*66
We convert to standard normal form, Z ~ N(0,1)
by z1 = (x1 - u )/s
z1 =( x - u)/s = (11.6688 - 7.92 )/2.64 = 1.42
P( X < x1) = P( Z < z1)
= P( Z < 1.42)
= 0.9222
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Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets solo
(x) and the total income from the tickets (y)?
Answer:
I do not see all the graphs but it would be the reverse of what is shown for A. graph. The tickets sold to total income would have to be a 1:4 ratio where every 4 dollar leap in the y-axis is a one point (1 unit change in x).
Step-by-step explanation:
Cual es la distancia que recorrió luis en su bicicleta rodada 20p (2.54) después que las llantas dieran 50 vueltas completas
porfaaa
Luis traveled approximately 31,736.8 inches on his bicycle.
We have,
To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.
Given:
Radius of the tires (r) = 20p (2.54) inches
Number of complete turns (n) = 50
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Substituting the given radius into the formula, we have:
Circumference = 2π * (20p) inches
Now we can calculate the distance traveled (d):
Distance = Circumference x Number of complete turns
Distance = 2π x (20p) x 50 inches
To simplify the calculation, we can approximate π as 3.14:
Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches
Calculating this expression, we find:
Distance ≈ 31736.8 inches
Therefore,
Luis traveled approximately 31,736.8 inches on his bicycle.
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The complete question.
What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns
please help answer
Five times the product of negative four and a number
Answer:
-20x
Step-by-step explanation:
Let the number be x.
The product of -4 and this number is -4x.
5 times this is 5(-4x), which simplfiies to -20x.
Approximately 15% of Americans have a blood type of B. The local blood bank has 80 donors stop by on a given day (which can be considered a random sample from the population). What is the probability that between 15% and 20% of the donors on a given day have a blood type of B?
Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
Step-by-step explanation:
Given that;
Binomial Distribution
n = 80
p = 0.15
q = 1 - p = 0.85
Mean = μ = np = 80 X 0.15 = 12
SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937
Now; Assumptions in normal distribution to binomial distribution
- The sample size = n = 80 > 30 . Large sample
- np = 80 × 0.15 = 12 > 10
- nq = 80 × 0.85 = 68 > 10
so
80 × 0.15 = 12
80 × 0.20 = 16
To find P(12 < X < 16):
Z = (16 - 12) / 3.1937
= 4 / 3.1937
= 1.2525
Table of Area Under Standard Normal Curve gives area = 0.3944
Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
From the 6 male and 11 female sales representatives for an insurance company, a team of 3 men and 4 women will be selected to attend a national conference on insurance fraud.
In how many ways can the team of 7 be selected?
There are 660 different methods to choose the seven-person team.
What are permutations and combinations?A permutation is a process of putting items or pieces in a certain order. Combinations are a method of picking things or pieces from a set of objects or collections when the order of the objects is irrelevant.
Given data;
There are 6 male and 11 female
A team of 3 men and 4 women will be selected
There are 6 males need to choose 3 of them. Use the combination nCr, where n is the total number and r is the ways;
The number of choices obtained:
⇒6C₃= 20
There are 11 females. We need to choose 3 of them
⇒11C₄ = 330
The number of ways can the team of 7 be selected will be;
⇒6C₃×11C₄
⇒20×330
⇒660
Hence, the number of ways can the team of 7 be selected will be 660.
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Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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