We are given table:
Input values (a) : 5 6 7 8 9
Output Values (b) : 3.8 4.6 5.6 ? ?
We need to find the missing values.
In order to find the common difference, we need subtract next output value from previous output value.
Therefore, common difference = 4.6 - 3.8 = 0.8.
In order to find next missing values, we need to add that common difference in previous value.
Therefore, next value of 5.6 is 5.6+ 0.8 = 6.4.
And other next value = 6.4 + 0.8 = 7.2.
<h3>Therefore, the common difference = 0.8 and missing outputs in table are 6.4 and 7.2.</h3>
sin²(x) - 0.25 = 0
sin²(x) + 0.5sin(x) - 0.5sin(x) - 0.25 = 0
sin(x)[sin(x)] + sin(x)[0.5] - 0.5[sin(x)] - 0.5[0.5] = 0
sin(x)[sin(x) + 0.5] - 0.5[sin(x) + 0.5] = 0
[sin(x) - 0.5][sin(x) + 0.5] = 0
sin(x) - 0.5 = 0 or sin(x) + 0.5 = 0
sin(x) = 0.5 sin(x) = -0.5
sin⁻¹[sin(x)] = sin⁻¹(0.5) sin⁻¹[sin(x)] = sin⁻¹(-0.5)
x = 30°, ¹/₆π radians x = 210°, 1¹/₆π radians
150°, ⁵/₆π radians 330°, 1⁵/₆π radians
The surface area of a cylinder consists of the two circles on either end, and the curved area around the middle. The circles have radii of 1.5 inches, so an area of pi*r^2 = 3.14 * 1.5^2 = 7.065 square inches.
The curved area can be thought of as a rectangle, like a label wrapping round the cylinder. The length of the rectangle is 5 inches, and the width of the rectangle is the circumference of one of the circles, 2*pi*r = 2 * 3.14 * 1.5 = 9.42 inches. The area of the rectangle is 9.42 * 5 = 47.1 square inches.
Putting all that together, the surface area is 7.065 + 7.065 + 47.1 = 61.23 square inches.
Answer:
1/50
Step-by-step explanation:
1/5 times 1/10 is 1/50
:)
Answer:
The answer is given below
Step-by-step explanation:
The equation of a quadratic function is given by:
Ax² + Bx + C where A, B and C are the coefficients of the quadratic equation. If the coefficient of x² (i.e A) is a negative value then the graph opens down, the value of C determines the y intercept.
The equation of a parabola with y-intercept greater than 3 and opens down can be given as -2x² -6x + 4. Since the coefficient of x² is negative it opens down and C = 4, it has a y intercept of 4 > 3
Let us assume a vertical stretch of 2, the new equation becomes:
2(-2x² -6x + 4)
-4x² - 12x + 8
To solve:
-4x² - 12x + 8 = 0
A = -4, B = -12 and C = 8
Using the quadratic formula: