There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.
simplify cos^2 A/1+sin A
Answer:
[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}[/tex]
Recall the Pythagorean Identity:
[tex]\sin^2(A)+\cos^2(A)=1[/tex]
So:
[tex]\cos^2(A)=1-\sin^2(A)[/tex]
Substitute:
[tex]\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}[/tex]
Factor. We can use the difference of two squares pattern:
[tex]\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}[/tex]
Cancel. Hence:
[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)[/tex]
The function f(x) = StartRoot negative x EndRoot is shown on the graph. Which statement is correct?
The statement that is correct about the behavior of the given graph is; D:
The range of the function is all real numbers greater than or equal to 0.
How to interpret function graphs?The graph of the function is as shown in attached diagram.
The function is;
y = √-x
1. The domain of the function is defined the set of all possible input values for x. Therefore, upon close inspection of the graph, we can say that the domain of this function is;
x ∈ (-∞, 0]
2. The range of the function is defined as the set all possible output values for y. By closely inspecting the attached graph, we can say that the range of this function is; y ∈ [0, -∞)
From the above, we can tell that the range of the function is all real numbers greater than or equal to 0.
Looking at the options, only option D can be said to be correct about the behavior of the given graph.
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The missing options are;
The domain of the function is all real numbers greater than 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all values less than 0.
The range of the function is all real numbers greater than or equal to 0.
Please please please help ASAP!!
Answer:
2*2*3*3*5
When these numbers are multiplied, the answer is 180.
IF YOU HELP ME WITH THIS YOU WILL GET 25 POINTS! LINKS=REPORTED!
Answer:
22. acute triangle
23. right triangle
24. equilateral triangle
25. right triangle
Step-by-step explanation:
let me know if any of these are wrong
Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of the bag of groceries after any number of years. Predict when the bag of groceries will double in price.
Answer: 28 years
Step-by-step explanation:
Given
The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]
If the price of the bag increased by 2.5%, from the equation, we can deduce that
Initial cost of the bag is 25
Double of the initial value is 50
Insert it in the equation
[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]
It will take 28 years
What is the surface area of the right cylinder pictured below with
measurements a = 5 cm, b= 20 cm? Leave your answer in terms of T.
a
b
A. 22517 cm
ООО
B. 250 cm2
C. 50 cm2
o
D. 100 cm2
Applying it's formula, the surface area of the given cylinder is:
B. S = 250pi cm²
What is the surface area of a cylinder?The surface area of a cylinder with radius r and height h is given by the following formula:
S = 2pi(r + h)
For this problem, the dimensions are given as follows:
r = 5 cm, b = 20 cm.
Hence we apply these measures to the given formula, and the surface area in square centimeters is given as follows:
S = 2pi(r + h)
S = 2pi x 5(5 + 20)
S = 250pi cm²
Hence option B is the correct surface area.
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HELP DUE IN 20 MINS!
x = ??
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
We know,
[tex]27 \times (x + 27) = 36 {}^{2} [/tex][tex]x + 27 = \dfrac{1296}{27} [/tex][tex]x + 27 = 48[/tex][tex]x = 21[/tex]______________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y is > 7
Step-by-step explanation:
Any y value greater than 7 would make the product greater than 5. This can be looked at as y > 7. So y/7 can be rthough of as y divided by 7. 5 x y/7 can be though of as y * 5 divided by 7. Or 5y/7. To make this value 5, y must be 7. Since 7/7 is 1, and 1*5 is 5. If the number is greater than this it would have to be >7/7, since this would make it >1*5. So y must be >7. Hope this helps!
Answer:
9 (or anything above)
Step-by-step explanation:
5 x 9/7 = 45/7 = 6 3/7. Anything above would also work. Also, 8 and 7 work too
Please help me out tired want to sleep
Answer:
The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].
Step-by-step explanation:
The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:
[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)
Where:
[tex]A[/tex] - Area below the curve, in square units.
[tex]n[/tex] - Number of rectangles, no units.
[tex]x_{o}[/tex] - Lower bound of the interval, in units.
[tex]\Delta x[/tex] - Length of the interval, in units.
[tex]t[/tex] - Summation index.
If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:
[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]
What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?
The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4
The expression is 3x²
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x² is 3
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x² is 3.
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1. Simplify the expression: [tex](2x^{2} y)x^{3}[/tex]
A. [tex]6x^{5} } y^{0}[/tex]
B. [tex]2x^{6} y^{3}[/tex]
C. [tex]6x^{5} y^{3}[/tex]
D. [tex]8x^{6} y^{3}[/tex]
Answer:
2·x^5·y
Step-by-step explanation:
2x^5y
Given ƒ(x) = − x² – 14, find ƒ (6)
Answer:
f(6) = - 50
Step-by-step explanation:
substitute x = 6 into f(x) , that is
f(6) = - 6² - 14 = - 36 - 14 = - 50
Answer:
-50
Step-by-step explanation:
f ( x ) = - x² - 14
Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).
f ( 6 ) = - (6)² - 14
f ( 6 ) = - 36 - 14
f ( 6 ) = -50
What are the coordinates of the point on the directed line segment from
3. 2) to (77) that nartitions the segment into a ratio of 3 to 2?
Answer:
(4.6, 4)
Step-by-step explanation:
Given the coordinates (3,2) and (7, 7) partitioned between 3:2
M(X,Y) = [(ax1+bx2/a+b, ay1+by2/a+b)]
X = 3(3)+2(7)/3+2
X = 9+14/5
X = 23/5
X = 4.6
Similarly;
Y = 3(2) + 2(7)/3+2
Y = 6+14/5
Y = 20/5
Y = 4
Hence the required coordinate is (4.6, 4)
Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.
The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is
8 + (n - 1) * -2What is arithmetic sequence?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The sequence is given by the formula
nth term = a + (n - 1) * d
where a = first term
n = the term
d = common difference
In the problem, d = -2 and a = 8, because of this we have
= a + (n - 1) * d
= 8 + (n - 1) * -2
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If y is a quadratic function of x, which value completes the table?
(table in pic)
Answer:
44
Hope this helps. :)
Answer:
48Step-by-step explanation:
See the difference in y-values:
8, 12, 16Next level difference is 4, so add 4 to 16:
4 + 16 = 20Now add 20 to the last number:
20 + 28 = 48The next number is 48
Will give brainliest if right
O D. The points seem to be clustered around a line.
Answer:
D. The points seem to be clustered around a line.
Step-by-step explanation:
The scatterplot points are spread out and forming a line, not around a point.
There are two outliers.
During a fireworks display, one rocket went up and came down without exploding. The height of the rocket was described by the function, h(t)= − 16 t 2 + 88 t , where t = time in seconds and h(t) = height in feet. What was the maximum height reached by the rocket?
Answer:
121 feet
Step-by-step explanation:
By graphing the equation we can see the maximum y value is 121
Find the measure of
Answer:
80 I THINK, SORRY IF NOT RIGHT
Step-by-step explanation:
Find the length of the radius of the cylinder given the volume and height.
V=314
h = 25 ft
a. 1 ft
b. 2 it
C.5 ft
d. 12.3 it
I'll give Brainly
Answer:
b. 2 feet
Step-by-step explanation:
The formula for volume of a cylinder is: V=πr^2h
Start by plugging in what they give you
V=πr^2h
314 =π(r)^2(25)
314 = 25π(r)^2
divide both sides by 25π, which is 78.5
4 = r^2
take the square root of both sides
r = 2
How do you draw a logarithmic graph?
Choose the range of values for the x-axis and the y-axis , Plot the points on the graph, using the logarithmic formula , Connect the points with a smooth curve and Label the axes and add any other details you want to include.
1. Choose the range of values for the x-axis and the y-axis. Select the minimum and maximum values for both the x-axis and the y-axis.
2. Plot the points on the graph, using the logarithmic formula. Use the formula log(x) = y to calculate the points that should be plotted on the graph. For example, if the x-axis range is from 1 to 10, and the y-axis range is from 0 to 10, then the first point would be (1,0).
3. Connect the points with a smooth curve. Once all the points have been plotted, use a ruler or a graphing calculator to connect them with a smooth curve.
4. Label the axes and add any other details you want to include. Use a ruler or a graphing calculator to label the axes and add any other details you want to include, such as a title, a legend, or a grid.
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Explain if the ordered pairs represent a function or not.
(1,2)(1,3)(2,4)(3,6)(0,0)(-1,4)
What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?
The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .
How to find the smallest positive integer ?To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.
The multiples of 4 and 7 are:
Multiples of 4 :
4, 8, 12, 26, 20, 24, 28, 32, 36, 40,
Multiples of 7 :
7 , 14 , 21 , 28 , 35 , 42 , 49
The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.
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i think its one but im not sure
Answer: Commutative property.
Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.
Let me know if this is right! :)
The sum of three consecutive integers is 27. Find the value of the greatest of the three.
Answer: The greatest of the three is 10.
Step-by-step explanation:
27/3=9 so the numbers will be around nine.
8+9+10=27
Answer:
Let x represent the value of the smallest of the three consecutive integers.
Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.
Since the sum of the three integers is 27, we have:
x + (x+1) + (x+2) = 27
Combining like terms, we have:
3x + 3 = 27
Subtracting 3 from both sides, we have:
3x = 24
Dividing both sides by 3, we have:
x = 8
Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.
Thus, the value of the greatest integer is 10.
Step-by-step explanation:
What is 85 divided by 4973?
Which of the following is most likely the next step in the series?
O A.
B.
O c.
D.
Answer:
try the diamond see if that works sorry if its wrong
Triangle is most likely the next step in the series, option D is correct.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The first polygon is hexagon which has 6 sides
The second polygon is Pentagon which has 5 sides
The third polygon is square which has 4 sides
As we observe one side is decreasing from the each polygon from 1st to 3
So the fourth polygon will have three sides which is triangle
Hence, triangle is most likely the next step in the series, option D is correct.
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Jenny babysits for $6)per hour plus $10 for taxi fare. Mary charges ($3 every ?half ?hour plus $15 in taxi fare.
Answer:
Step-by-step explanation:
122121
13. Solve for x. (show work)
Answer:
The value of x is 12.
i think it is correct.
What is the example of quadrant 2?
The example of Quadrant 2 is (-1, 1)
The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.
Here we have to give the example for quadrant 2.
In order to find the example, first we have to know the definition and properties of quadrant 2.
The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.
Therefore, the resulting coordinate for Quadrant 2 is written as,
=> (-1, 1)
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