A dartboard has a diameter of 18 inches.What are its radius and circumference?
Answers
Then
Radius of the dartboard will be = 18/2 inches
= 9 inches
We already know that
Circumference of a circle = 2πr
We also know that the value of π = 3.14159
Then
Circumference of the dartboard = 2 * 3.14159 * 9 inches
= 56.548 inches
= 56.55 inches
So the radius of the dartboard is 9 inches and the circumference of the dartboard is 56.55 inches. I hope the procedure is absolutely clear to you.
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Answers
Number 3 times 16 is equals to 48.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The number 16 times is equal 48.
Let a number = x
Hence, We can formulate;
⇒ 16 × x = 48
Divide by 16;
⇒ x = 48 / 16
⇒ x = 3
Thus, 3 times 16 is equals to 48.
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In order to get this answer you have to divide 48 by 16 to get 3 as your answer.
Hopes it Helps :]
Answers
The slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 is
Solution:
Given that we have to find the slope of the line that is perpendicular to a line whose equation is −2y = 3x + 7
The slope intercept form is given as:
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Given equation is:
On comparing the above equation with slope intercept form,
We know that product of slope of a line and slope of line perpendicular to it is -1
Therefore,
Thus slope of line that is perpendicular to given line is
2 x + 2 x < - 3
X x = -3
- x - 2 X > -3
y = -6
y=-4
y=-3
y = 0
y = 1
y = 3
Answers
-6, -4, -3, and 0 are the values which are within the range of the piecewise-defined function.
Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0
Here, we have, to determine which values are within the range of the piecewise-defined function, we need to evaluate the function for each given value of y.
Given piecewise-defined function:
f(x) =
2x, x < -3
x, x = -3
-x - 2, x > -3
Let's evaluate the function for each value of y:
a) y = -6
For y = -6, we need to find x such that f(x) = -6.
-6 is in the range of the function if there exists an x such that f(x) = -6.
For x < -3: f(x) = 2x
2x = -6
x = -3
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -6
x = 4
Since there is a value of x (-3) that satisfies f(x) = -6, option a) y = -6 is correct.
b) y = -4
For y = -4, we need to find x such that f(x) = -4.
-4 is in the range of the function if there exists an x such that f(x) = -4.
For x < -3: f(x) = 2x
2x = -4
x = -2
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -4
x = 2
Since there is a value of x (-3) that satisfies f(x) = -4, option b) y = -4 is correct.
c) y = -3
For y = -3, we need to find x such that f(x) = -3.
-3 is in the range of the function if there exists an x such that f(x) = -3.
For x < -3: f(x) = 2x
2x = -3
x = -1.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = -3
x = 1
Since there is a value of x (-3) that satisfies f(x) = -3, option c) y = -3 is correct.
d) y = 0
For y = 0, we need to find x such that f(x) = 0.
0 is in the range of the function if there exists an x such that f(x) = 0.
For x < -3: f(x) = 2x
2x = 0
x = 0
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 0
x = -2
Since there is a value of x (-3) that satisfies f(x) = 0, option d) y = 0 is correct.
e) y = 1
For y = 1, we need to find x such that f(x) = 1.
1 is in the range of the function if there exists an x such that f(x) = 1.
For x < -3: f(x) = 2x
2x = 1
x = 0.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 1
x = -3
Since there is no value of x that satisfies f(x) = 1, option e) y = 1 is incorrect.
f) y = 3
For y = 3, we need to find x such that f(x) = 3.
3 is in the range of the function if there exists an x such that f(x) = 3.
For x < -3: f(x) = 2x
2x = 3
x = 1.5
For x = -3: f(x) = x
x = -3
For x > -3: f(x) = -x - 2
-x - 2 = 3
x = -5
Since there is no value of x that satisfies f(x) = 3, option f) y = 3 is incorrect.
Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0
The correct values within the range of the piecewise-defined function are -6, -4, -3, and 0.
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Answer:
-6, -4, -3, 0
Step-by-step explanation:
I just did this question and got it right.
B. (2,16]
C. [2,∞)
D. (2,∞)
Answers
Answer:
None of the Above
Step-by-step explanation:
The range is [2, ∞) excluding (2, 7) and [11, 16). No part of the piecewise function will give f(x) = 5, for example.
Answers
Final answer:
The mathematical expression -(25) +(-30) -(10) +(-10) -(-50) simplifies to -25. This is calculated by simply applying the rules of arithmetic, including the rule that subtracting a negative is equivalent to adding.
Explanation:
The original equation is: -(25) +(-30) -(10) +(-10) -(-50). The calculation follows these steps:
- Resolve each section individually, starting with -(25) which equals -25.
- Next, +(-30) equals -30.
- Then, -(10) equals -10.
- Next, +(-10) equals -10.
- Finally -(-50) equals +50 since subtracting a negative is equivalent to adding a positive.
Now, if we add all these numbers together, it equals:
-25 - 30 -10 -10 + 50 = -25.
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Answers
Answer:
Step-by-step explanation:
To solve this problem, use the fact that you can perform any operation(with a few exceptions) to both sides of an equation, to isolate the variable.
Simply subtract 3 from both sides to get:
-3x - 3 - 3 = 4x + 3 - 3
-3x - 6 = 4x
Then add 3x to both sides to get:
-3x + 3x - 6 = 4x + 3x
-6 = 7x
Then divide both sides by 7 to get:
-6 / 7 = 7x / 7
-6/7 = x
Hope it helps :) and let me know if you want me to elaborate
Answer:
-6/7
Step-by-step explanation:
You can use your calulater
step 1: turn it on
Step 2: press 2nd button
step 3: press the number-solve button
step 4:type the equations just like it is writed
Step 5: usef<>d button
and you get your answer -6/7