When csc(Theta)sin(Theta) is simplified, what is the result? StartFraction 1 Over cosecant squared EndFraction StartFraction 1 Over sine squared EndFraction 0 1
Step-by-step explanation:
csc θ sin θ
(1 / sin θ) sin θ
1
The simplified value of the given expression comes to be 1.
The given expression is:
\(cosec\theta.sin\theta\)
What is the trigonometric ratio \(cosec\theta\)?The trigonometric ratio \(cosec\theta\) is the ratio of the hypotenuse to the opposite side. It is the inverse of \(sin\theta\).
\(cosec\theta=\frac{1}{sin\theta}\)
We know that \(cosec\theta=\frac{1}{sin\theta}\)
So \(cosec\theta.sin\theta\)
\(=\frac{1}{sin\theta} .sin\theta\)
=1
So, the simplified value is 1.
Hence, the simplified value of the given expression comes to be 1.
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In need of help immediately !!!
subtract
40(-32-40-25)
please show how you will do that (step by step)
Answer:
-3880
Step-by-step explanation:
\(40(-32-40-25)\\40(-72-25)\\40(-97)\\-3880\)
Please give brainliest if this answer satisfies your question.
Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3
Answer:
when x=1 y=7, when x=2 y=10, when x=3 y=13
Step-by-step explanation:
4x³-8x² = 0 using the quadratic formula
The solutions to the equation 4x³ - 8x² = 0 are x = 0 and x = 2.
What is quadratic formula?The quadratic formula is a formula that provides the solution(s) for a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
The given equation is 4x³ - 8x² = 0.
We can first factor out 4x² from the left side to get:
4x²(x - 2) = 0
Now, we have a product of two factors that is equal to zero. This means that either 4x² = 0 or (x - 2) = 0.
Solving 4x² = 0, we get:
4x² = 0
x² = 0
x = 0
Solving (x - 2) = 0, we get:
x - 2 = 0
x = 2
Therefore, the solutions to the equation 4x³ - 8x² = 0 are x = 0 and x = 2.
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Which choice correctly expresses the number below in scientific notation?
0.000607
A. 6.07 : 10-5
B. 6.07 · 10-3
C. 6.07. 10-4
D. 607 • 10-4
E. 60.7.10-5
F. 607. 10-6
Answer:
The answer is C. 6.07 × 10^-4
Find the perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. Rounded to the nearest tenths place
I can't see the semi circle is that image. From what I see, the perimeter of the trapezoid is 41.
What is the correct evaluation of x2 - x + y2 when x is equal to 5 and y is equal to -2?
the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
We are given an expression:
x² - x + y²
We need to find the value of the expression for x = 5 and y = - 2.
Now, substituting the values of x and y in the expression that is given to us, we get that:
x² - x + y²
( 5 )² - ( 5 ) + ( - 2 )²
Solving the squares of the numbers, we get that:
25 - 5 + 4
Simplifying to get the value of the expression, we get that:
= 24
Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
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Match each expression with A, B, C or D.
A=a^3
B=6a
C=12a
D=3a^2
i)3a x 4
ii)a^2xa
iii) 6 1/2 a^2
The matching expressions are:
\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)
i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.
ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.
iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.
To understand the matching expressions, let's break down each one:
i) 3a x 4:
This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).
ii) a^2 x a:
This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).
iii) 6 × 1/2 a^2:
This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).
Therefore, the matching expressions are:
i) 3a x 4 = C (12a)
ii) a^2 x a = A (a^3)
iii) 6 × 1/2 a^2 = D (3a^2)
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what is the median of numbers 20,35,28,15,22,36,26
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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The probability of rolling a number less than 3 on a number cube is 2/6 . Jennifer rolls a number cube 60 times. How many times should Jennifer expect to roll a number less than 3
Answer:
20 times
Step-by-step explanation:
2/6
she rolls it 60 times so it turns into
2/6 = x/60
60*2 = 120
60/120 = 20
so
2/6 = 20/60
The probability of a unit falling below the LSL and the probability of a unit being above the USL is the same when the __________ of the distribution is in the middle of the tolerance level.
The probability of a unit falling below the Lower Specification Limit (LSL) and the probability of a unit being above the Upper Specification Limit (USL) is the same when the Mean of the distribution is in the middle of the tolerance level.
In other words, if the Mean of the distribution is exactly at the midpoint of the tolerance range, then the probability of producing units that fall below the LSL is the same as the probability of producing units that exceed the USL. This is because a symmetric distribution with a central location parameter at the midpoint of the tolerance range will have equal probabilities of producing values below and above the midpoint. However, it's worth noting that this scenario is idealized and rarely occurs in practice, since manufacturing processes typically have some degree of variability that can cause the Mean to deviate from the midpoint.
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A box contains 48 marbles. Two-thirds of the marbles are red. Three-fourths of the red marbles in the box are red and striped. How many of the marbles in the box are red and have stripes?
A.24 marbles
B.12 marbles
C.32 marbles
D.16 marbles
Answer:
C
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 24
Simply multiply all of the fractions with the total number of marbles
48(2/3)(3/4)
Hey can someone please help me with this quick math problem??
What's
\(2 \frac{3}{10} + \frac{7}{10} = \)
???? please help! it's due tomorrow
Step-by-step explanation:
3 IS THE ANSWER I HOPE IT CAN HELP YOU
Answer:
Step-by-step explanation:
which slope represents a like that passes through (4, 1/3) and has a slope of 3/4
Answer:
Answer is in her photo
Step-by-step explanation:
i dont remember need the points though
A jar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability of selecting a blue marble ?
Answer:
16.666%
Step-by-step explanation:
100/6=16.66
Decide whether you have enough information to find the measures of x and y. If you do, find the angle
If you don't, write "Not Enough Info" (NEI)
(03.04) Use the graph below for this question: What is the average rate of change from x = −3 to x = 5? (1 point)
A.−1
B.0
C.1
D.8
Answer:
B. 0
Step-by-step explanation:
Rate of change from x = -3 to x = 5
Rate of change = \( \frac{f(b) - f(a)}{b - a} \)
where, from the graph, we have:
a = -3, f(a) = -1,
b = 5, f(b) = -1,
Plug in the values
Rate of change = \( \frac{-1 -(-1)}{5 - (-3)} \)
Rate of change = \( \frac{0}{8} \)
Rate of change = 0
is 6x-2/5 equivalent to 6/5x - 2/5
Expressions are said to be equivalent if the expressions are equal, and they hold the same value.
\(6x - \frac{2}{5}\) and \(\frac{6}{5x} -\frac{2}{5}\) are not equivalent.
The parameter is given as:
\(6x - \frac{2}{5}\)
Take LCM of both terms
\(6x - \frac{2}{5} = \frac{6 \times 5x -2}{5}\)
\(6x - \frac{2}{5} = \frac{6 \times 5x}{5} -\frac{2}{5}\)
\(6x - \frac{2}{5} = \frac{30x}{5} -\frac{2}{5}\)
By comparison of \(\frac{30x}{5} -\frac{2}{5}\) and \(\frac{6}{5x} -\frac{2}{5}\)
We see that \(\frac{30x}{5} -\frac{2}{5}\) is not equal to \(\frac{6}{5x} -\frac{2}{5}\)
i.e.
\(\frac{30x}{5} -\frac{2}{5} \ne \frac{6}{5x} -\frac{2}{5}\)
Hence,
We can conclude that the expressions \(6x - \frac{2}{5}\) and \(\frac{6}{5x} -\frac{2}{5}\) are not equivalent.
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Please answer fast
|
\/
Answer:
a
hope that helped <3
lying Addition and Subtraction of Integers
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The
bus makes another stop ten minutes later to let off 4 more people.
How many more or fewer people are on the bus after the second stop
compared to the number of people on the bus before the 2:30 stop?
After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.
Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.
Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.
Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.
Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.
Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
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Write an algebraic expression for the situation. 28 divided by a number n An algebraic expression for the situation is
Answer:
\(\frac{28}{n}\)
Step-by-step explanation:
Raina, Alan, and Kareem have a total of $85 in their wallets. Kareem has $9 less than Raina. Alan has 2 times what Kareem has. How
much do they have in their wallets?
Amount in Raina's wallet
$
Amount in Alan's wallet:
$
Amount in Kareem's wallet:
$
Answer:
17, 51, 24.
Step-by-step explanation:
i cant type it rn but i will put it in comments later :D hope this helped!
Function g is a transformation of the parent function exponential function. Which statements are true about function g?
For the given function, The following are true statements:
Four units separate function g from function f.There is a y-intercept for function g. (0,4)Function g has a range of (3,∞ ).Over the range (-, ∞), function g is positive.It may be seen from the graph below that
The g function's graph is 4 units higher than the parent exponential function's graph.
All of the input values for which the function is defined are referred to as the function's domain. The domain of the function is (-, ∞ ) according to the graph of function g.
The location where a function's graph crosses the y-axis is known as the y-intercept. G's graph crosses the y-axis at (0, 4). As a result, the Function g's y-intercept is (0,4).
growing function g across the range (- ∞, 0).
Function output values are referred to as the function's range. It can be seen from the graph that the range of function g is (3, ∞ ).
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It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.
11 10 16 15 18 12 25 20 18 24
Answer:
(11.605 ; 22.195)
Step-by-step explanation:
11 10 16 15 18 12 25 20 18 24
Sample mean, xbar = Σx / n = 169 / 10 = 16.9
Standard deviation = 5.152 ( using calculator)
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
Df = n - 1 = 10 - 1 = 9
Tcritical at 99%, df =9 = 3.2498
Margin of Error = 3.2498 * 5.152/√10 = 5.2946
Lower boundary :
16.9 - 5.2946 = 11.6054
Upper boundary :
16.9 + 5.2946 = 22.1946
(11.605 ; 22.195)
The polygon given below is a regular pentagon.
A. 54°
B. 108°
C. 135°
D. 540°
Answer:
Step-by-step explanation:
In a regular pentagon, all the angles and sides are equal. So, to find an angle, divide 540 by 5.
Sum of all angles of regular pentagon = 540
measurement of one angle = 540 ÷ 5
= 108°
∠N = 108°
Answer:
B
Step-by-step explanation:
Which graph represents a function!!!!???? Pls help
Answer:
The 3rd one.
Step-by-step explanation:
A function needs to have an unique x for every y, This means there can't be 2 xs for a single y. The 3rd one is the only one that satisfies this condition.
2 QUESTIONS!
When a number is decreased by 10% of itself, the result is 27. What is the number?
Write an equation to model the problem. Use a to represent the number.
Answer:
Solve the equation to find the number:
Answer:
Answer:
30
Step-by-step explanation:
The equation will be:
x - (10% of x) = 27
x - 0.1x = 30
0.9x = 30
Divide by 0.9
x = 30
The number is 30
Second question:
Length = 2x - 3
Width = x
Perimeter = 72
Perimeter = 2(l + w)
= 2(2x - 3 + x) = 72
4x - 6 + 2x = 72
6x = 72 + 6
6x = 78
w = 78/6 = 13
The width is 13 meters
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
what is the value of the expression below (8^1/2)^2
Answer:
8
Step-by-step explanation:
The square of a number square rooted is the number itself.