_____ of the basic trigonometric functions have inverse functions. None, 3, 6, 4
Answers
Answer:
6
Step-by-step explanation:
There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.
Related Questions
Which numerical expressions are equivalent to (4/5−3/8)+(−2/3−4/5) ?
Answers
The numerical expression that is equivalent to (4/5−3/8)+(−2/3−4/5) is -77/120. Alternatively, this expression can also be written as -0.64167 or -64.167%.
To solve this problem, we need to combine the like terms. First, we need to find the common denominator of the fractions in the expression. The smallest common denominator for 5, 8, and 3 is 120. We can then rewrite each fraction with 120 as the denominator.
(4/5 - 3/8) = (32/40 - 15/40) = 17/40
(-2/3 - 4/5) = (-400/600 - 240/600) = -640/600 = -32/30
Now we can substitute these equivalent expressions back into the original equation:
(4/5−3/8)+(−2/3−4/5) = (17/40) + (-32/30)
We can simplify this expression by finding the least common multiple (LCM) of 40 and 30, which is 120. We can then rewrite each fraction with 120 as the denominator.
(17/40) = (51/120)
(-32/30) = (-128/120)
Now we can substitute these new fractions back into the expression:
(51/120) + (-128/120) = -77/120
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-4.1=8(y-5) it says solve equation
Answers
\(\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\\)
Explanation:
-4.1 = 8(y-5)
-4.1 = 8y - 40
-8y = -40 + 4.1
-8y = -35.9
Y = -35.9/-8
Y = 35.9/8
Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?
Answers
Ashely have 56 ways to choose from
This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.
PermutationThis is the process of arranging a particular set of data in different ways.
Since Ashely is choosing 3 desserts out of 8 in no specific ways
\(P=\frac{n!}{(n-r)!}\)
Where n = total number of ways available
r = total numbers that would be selected.
Data given
n = 8r = 3Let's substitute these values into the equation.
\(P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56\)
From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.
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If the volume of the pyramid shown is 108in, what is the area of its base? 9 in= height
a. 4 in
b. 12 in
c. 24in
d. 36 in
Answers
Answer: D, 36in.
Step-by-step explanation:
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answers
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4
market research indicates that a new product has the potential to make the company an additional $3.8 million, with a standard deviation of $1.8 million. if this estimate was based on a sample of 10 customers, what would be the 90% confidence interval?
Answers
The 90% confidence interval is (2.76, 4.84).
The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Standard deviation may be abbreviated SD and is most commonly represented in mathematical texts and equations by the lower-case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Mean \($(\overline{\mathbf{x}})\) =3.8, sample standard deviation \($(\mathrm{s})\) =1.8, sample size \($(\mathrm{n})\) = 10
since population standard deviation \($(\sigma)$\) is unknown and the value of \($\mathrm{n}$\) is less than 30, use. \($\mathrm{t}$\) - distribution
degrees of freedom =10-1=9
for 90% confidence level with degrees of freedom = 9
\($t_{\frac{\alpha}{2}}=1.833\) (from t- table)
formula: confidence interval for population mean. \($\mu=\bar{x} \pm t_{\frac{\alpha}{2}} *\left\{\frac{s}{\sqrt{n}}\right\}$\)
= 3.8 ± 1.833×\(\left\{\frac{1.8}{\sqrt{10}}\right\}$\)
= 3.8 ± 1.04
= (3.8 - 1.04, 3.8 + 1.04)
= (2.76, 4.84)
Therefore, the 90% confidence interval is (2.76, 4.84).
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The four balls in have been thrown straight up. They have the same size, but different masses. Air resistance is negligible. Rank in order, from largest to smallest, the magnitude of the net force acting on each ball. Some may be equal. Give your answer in form a>b>c=d and explain your ranking. Ball A: v=5 m/s, m=200g. Ball B: v=4m/s, m=300g. Ball C: v=3m/s, m=300g. Ball D: v=3m/s, m=400g.
Answers
The net force acting on each ball can be ranked from largest to smallest as Fd>Fb>Fc=Fa, with Fd being the largest number of force due to its the highest mass and Fa being the smallest force due to its lowest mass.
The net force acting on each ball is equal to the product of its mass and acceleration due to gravity (F=ma). Since all of the balls have the same acceleration due to gravity, the magnitude of the net force on each ball can be determined by its mass. Therefore, the net force acting on each ball can be ranked from largest number to smallest as follows: Fd>Fb>Fc=Fa.
Fd>Fb>Fc=Fa
The net force acting on each ball can be ranked from largest to smallest as Fd>Fb>Fc=Fa, with Fd being the largest force due to its the highest mass and Fa being the smallest force due to its lowest mass.
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Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Answers
Ansdwer:
D
Step-by-step explanation:
Answer:
Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Step-by-step explanation:
Edge
19 - 6(-k + 4) Simplify to create an equivalent expression
Answers
The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.
Given that:
Expression, 19 - 6(-k + 4)
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Simplify the expression, then we have
⇒ 19 - 6(-k + 4)
⇒ 19 + 6k - 24
⇒ 6k - 5
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-7 – 9x = -61
please help solve and show your work. thank you.
Answers
Answer:
Step-by-step explanation:
-7 - 9x = -61
-9x = -54
x = 6
Which of the following inequalities are true?
Select the two correct answers.
A. | 4 | > 7
B. | - 4 | <4
C. |–7| > 4
D. |7|> |-7|
E. |-4 | < |-7 |
Answers
Answer:
i think its B or D sorry if I'm wrong
Sam is planning to take a train 5000km to Seattle. The train wil go at a constanst speed of 2000km/hr.. How long did it take him to get to Seattle? HURRY PLEASE
Answers
Answer:
2000km=1 hour so 1000km=half an hour (1/2)
5 times half an hour=2.5 hours=2 hours 30 minutes
im going down to S o U t H p A r K
Answers
Answer:
ok have a nice time
Step-by-step explanation:
Answer:
I totally agree *brainly don't take down my answer pls*
Step-by-step explanation:
Add Polynomials
(3y + y^3– 5) + (4y– 4y + 2y^3+ 8)
Answers
Step-by-step explanation:
Please refer to the attachment
what is 18x + 12= will mark brainliest
Answers
write the ratio 75cm:1.8m in its simplest form
Answers
The given ratio in the simplest form is 5 : 12.
What is ratio?
By comparing the two amounts of the same unit and finding the ratio, one may determine how much of one quantity is contained in the other.
We are given the ratio as 75 cm : 1.8 m.
Now, we will first convert the meters into centimeters.
So,
1.8 m = 180 cm
Now, the ratio becomes 75 cm : 180 cm.
On dividing both by 15, we get the simplest form as 5 : 12.
Hence, the given ratio in the simplest form is 5 : 12.
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what is the inverse of the fraction
Answers
Answer:
h(x) = 4x - 48
Step-by-step explanation:
Can I get some help on this i got stuck
Answers
Given:
Given that
\(\tan\theta=\sqrt{5}\)Required:
To find the other five trig ratio.
Explanation:
\(\begin{gathered} \tan\theta=\frac{opp}{adj} \\ \\ =\frac{\sqrt{5}}{1} \end{gathered}\)Now the hypotenuse is,
\(\begin{gathered} hyp^2=opp^2+adj^2 \\ \\ hyp^2=5+1 \\ \\ =5+1 \\ \\ =6 \\ \\ hyp=\sqrt{6} \end{gathered}\)Now,
\(\begin{gathered} \sin\theta=\frac{opp}{hyp} \\ \\ =\frac{\sqrt{5}}{\sqrt{6}} \end{gathered}\)\(\begin{gathered} \cos\theta=\frac{adj}{hyp} \\ \\ =\frac{1}{\sqrt{6}} \end{gathered}\)\(\begin{gathered} cot\theta=\frac{adj}{opp} \\ \\ =\frac{1}{\sqrt{5}} \end{gathered}\)\(\begin{gathered} sec\theta=\frac{hyp}{adj} \\ \\ =\frac{\sqrt{6}}{1} \end{gathered}\)\(\begin{gathered} cosec\theta=\frac{hyp}{opp} \\ \\ =\frac{\sqrt{6}}{\sqrt{5}} \end{gathered}\)Final Answer:
The six trig ratio are
\(\begin{gathered} \sin\theta=\sqrt{\frac{5}{6}} \\ \cos\theta=\frac{1}{\sqrt{6}} \\ cot\theta=\frac{1}{\sqrt{5}} \\ sec\theta=\sqrt{6} \\ cosec\theta=\frac{\sqrt{6}}{\sqrt{5}} \end{gathered}\)The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
Answers
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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100 points Factor completely and then place the factors in the proper location on the grid. 5 y2 - 2 y - 3
Answers
Answer:
is try ur hardest
Step-by-step explanation:
Can someone solve all these answers for this polynomials worksheet?
Answers
Answer:
2. 4
3. 5
4. 8
5. 9
6. 1
7. 6
8. 5
9. 7
10. 2
Step-by-step explanation:
Count the number of terms for each. Alternately, count the number of "+" and "-", and add 1.
Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's solve ~
\(\qquad \sf \dashrightarrow \: {x}^{2} = 18\)
\(\qquad \sf \dashrightarrow \: {x}^{} = \sqrt{ 18}\)
\(\qquad \sf \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } \)
\(\qquad \sf \dashrightarrow \:x = 3 \sqrt{2} \)
Therefore, the correct choice will be A
A standard license plate in Arizona consists of 6 letters a through z. If there are no restrictions, how many different standard license plates are possible
Answers
The number of different standard license plates possible in Arizona, without any restrictions, is 26^6 or 308,915,776.
Now let's explain the calculation. In Arizona, a standard license plate consists of 6 letters, each of which can be any letter from a through z. Since there are 26 letters in the English alphabet, we have 26 options for each position in the license plate.
To determine the total number of different license plates possible, we multiply the number of options for each position together. In this case, we multiply 26 by itself six times (26^6) to account for all possible combinations of six letters.
By raising 26 to the power of 6, we find that there are 308,915,776 different standard license plates possible in Arizona without any restrictions. Each plate can have a unique arrangement of letters, allowing for a vast number of combinations and possibilities.
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20 points again!
Need help-
Answers
Answer:
The picture is not loading at all..... I'll still help tho, once I find out the question lol
Step-by-step explanation:
Answer:
20 seconds
Step-by-step explanation:
2seconds = 50 miles
? = 500 miles
500× 2 = 1000÷50= 20
Enter the x– coordinate of the solution to this system of equations. 6y = – 4x + 20 2x + 4y = 12 The x– coordinate is
Answers
Step-by-step explanation:
4y = - 4x +20 (2x) + 4y = 12
4y = -4x + 40x + 4y = 12
36x = 4y - 4y _12
36 x = 12
÷12
36x ÷ 12 = 12 ÷ 12
3x = 1
÷3
3x ÷ 3 =1
x = 1 over 3
Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
Answers
Given:
A line passes through (1,-2) and is perpendicular to \(-4x+7y=21\).
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.
\(-4x+7y=21\)
Slope of this line is
\(m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}\)
\(m_1=-\dfrac{-4}{7}\)
\(m_1=\dfrac{4}{7}\)
Product of slope of two perpendicular lines is -1.
\(m_1\times m_2=-1\)
\(\dfrac{4}{7}\times m_2=-1\)
\(m_2=-\dfrac{7}{4}\)
Now, slope of required line is \(-\dfrac{7}{4}\) and it passes through (1,-2). So, the equation of line is
\(y-y_1=m(x-x_1)\)
where, m is slope.
\(y-(-2)=-\dfrac{7}{4}(x-1)\)
\(4(y+2)=-7(x-1)\)
\(4y+8=-7x+7\)
\(4y+7x=7-8\)
\(7x+4y=-1\)
Therefore, the equation of required line is \(7x+4y=-1\).
Please help need answer now!!
Answers
Answer:
C
Step-by-step explanation:
Find the missing endpoint if K is the midpoint of segment LM. L(-9, 4) and K(2, -1); Find M.
Answers
Mike made 5/6 of his free throw attempts and Lisa made 7/9 of her free throw attempts. Choose two fractions that show 5/6 and 7/9 written with a common denominator.
A. 10/18
B. 14/18
C. 15/18
D. 27/36
E. 30/36
(This is multiple choice)
Answers
Answer:
B and C
Step-by-step explanation:
First you have to find a common denominator which would be 18. Then you need to multiply the denominators to get to 18. 6x3 and 9x2. Now whatever you do to the bottom you have to do to the top. So you would mutiply 5x3 and 7x2. The fractions you are left with are, 14/18 and 15/18.
To solve the problem we need to know about fractions.
What is Fraction?A fraction is a way to describe a part of a whole. such as the fraction \(\frac{1}{4}\)can be described as 0.25.
Given to us
Mike made 5/6 of his free throw attempts Lisa made 7/9 of her free throw attemptsLCM of DenominatorTo bring the denominator, we need to take the LCM of the denominator, therefore,
\(\dfrac{5}{6},\ \dfrac{7}{9}\)
we know that the LCM of 6 and 9 is 18. therefore,
\(=\dfrac{(5\times 3)}{(6\times 3)},\ \dfrac{(7\times 2)}{(9\times 2)}\\\\=\dfrac{15}{18},\ \dfrac{14}{18}\)
Thus,
Mike made \(\dfrac{15}{18}\) of his free throw attempts Lisa made \(\dfrac{14}{18}\) of her free throw attemptsLearn more about Fraction:
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If the sum of deviations of 100 observations from 20 is 5, whatwould be the maximum total number of them such that each of whichis at least 5?If the sum of deviations of 100 observations from 20 is 5, what would be the maximum total number of them such that each of which is at least 5? Answer:
Answers
The maximum total number of observations that could meet this criteria would be 20/0.05 = 400. However, it's important to note that this assumes that there are no negative deviations, which may not be the case in real-world situations.
To answer your question, let's break it down. We have 100 observations with a sum of deviations from 20 equal to 5. We need to find the maximum number of observations that have a deviation of at least 5.
Since the sum of deviations is 5, this means that there are some observations with positive deviations (greater than 20) and some with negative deviations (less than 20). To maximize the number of observations with a deviation of at least 5, we need to minimize the deviations for the observations less than 20.
Assume x observations have a deviation of -1 (19), then the remaining (100 - x) observations must have a deviation of 5 or more to balance the sum of deviations to 5.
x*(-1) + (100 - x)*5 = 5
-1x + 500 - 5x = 5
-6x = -495
x = 82.5
Since the number of observations must be a whole number, we round down to 82. Therefore, the maximum total number of observations with a deviation of at least 5 would be (100 - 82) = 18.
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