An inequality is shown.
4.3 < _ select all the values that could be the unknown number in the inequality.
11 answers
Any value greater than 4.3 could be the unknown number in the inequality.
A. √15
B. √22
C. 3√17
D. 3√97
E. 3/2n
Which ones?
B. √22
C. 3√17
D. 3√97
E. 3/2n
Which ones?
To determine which values could be the unknown number in the inequality, we need to compare them to 4.3.
A. √15 ≈ 3.872
B. √22 ≈ 4.695
C. 3√17 ≈ 7.873
D. 3√97 ≈ 14.071
E. 3/2n (where n is any arbitrary value)
From these options, only B and D are greater than 4.3. Therefore, the values that could be the unknown number in the inequality are:
B. √22
D. 3√97
A. √15 ≈ 3.872
B. √22 ≈ 4.695
C. 3√17 ≈ 7.873
D. 3√97 ≈ 14.071
E. 3/2n (where n is any arbitrary value)
From these options, only B and D are greater than 4.3. Therefore, the values that could be the unknown number in the inequality are:
B. √22
D. 3√97
A table representing a linear relationship is shown.
x y
2 2
4 7
6 12
What is the slope of the line
x y
2 2
4 7
6 12
What is the slope of the line
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
Let's calculate the change in y and change in x:
change in y: 7 - 2 = 5
change in x: 4 - 2 = 2
Now, we can calculate the slope:
slope = (5) / (2) = 2.5
Therefore, the slope of the line is 2.5.
slope = (change in y) / (change in x)
Let's calculate the change in y and change in x:
change in y: 7 - 2 = 5
change in x: 4 - 2 = 2
Now, we can calculate the slope:
slope = (5) / (2) = 2.5
Therefore, the slope of the line is 2.5.
An expression is shown.
(2.49 × 10^-2) + (3.15 × 10^-3) + (1.02 × 10^-2)
What is the value of the expression in a standard form
(2.49 × 10^-2) + (3.15 × 10^-3) + (1.02 × 10^-2)
What is the value of the expression in a standard form
To find the value of the expression in standard form, we need to add the given numbers together.
(2.49 × 10^-2) + (3.15 × 10^-3) + (1.02 × 10^-2)
Using scientific notation, we can rewrite the numbers with the same exponent:
2.49 × 10^-2 + 3.15 × 10^-3 + 1.02 × 10^-2
Now, let's add the numbers without the exponents:
0.0249 + 0.00315 + 0.0102
Adding these numbers together, we get:
0.03825
To write this in standard form, we need to move the decimal point to have only one digit to the left of the decimal:
3.825
Therefore, the value of the expression in standard form is 3.825.
(2.49 × 10^-2) + (3.15 × 10^-3) + (1.02 × 10^-2)
Using scientific notation, we can rewrite the numbers with the same exponent:
2.49 × 10^-2 + 3.15 × 10^-3 + 1.02 × 10^-2
Now, let's add the numbers without the exponents:
0.0249 + 0.00315 + 0.0102
Adding these numbers together, we get:
0.03825
To write this in standard form, we need to move the decimal point to have only one digit to the left of the decimal:
3.825
Therefore, the value of the expression in standard form is 3.825.
The graph of a linear relationship has a y-intercept at (0, 4) and passes through the point (2, 5).
Create an equation that represents the linear relationship.
Create an equation that represents the linear relationship.
To create an equation that represents the linear relationship, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
We are given the y-intercept of (0, 4). This means that when x = 0, y = 4. So, b = 4.
We are also given a point on the line: (2, 5). We can use this point to find the slope (m) using the formula:
m = (change in y) / (change in x)
(change in y) = 5 - 4 = 1
(change in x) = 2 - 0 = 2
So, m = 1/2.
Now, we can substitute the values of m and b into the equation y = mx + b:
y = (1/2)x + 4
Therefore, the equation that represents the linear relationship is y = (1/2)x + 4.
We are given the y-intercept of (0, 4). This means that when x = 0, y = 4. So, b = 4.
We are also given a point on the line: (2, 5). We can use this point to find the slope (m) using the formula:
m = (change in y) / (change in x)
(change in y) = 5 - 4 = 1
(change in x) = 2 - 0 = 2
So, m = 1/2.
Now, we can substitute the values of m and b into the equation y = mx + b:
y = (1/2)x + 4
Therefore, the equation that represents the linear relationship is y = (1/2)x + 4.
Johan tosses a fair coin 40 times
What is a reasonable prediction for the number of times Johan can expect the coin to land heads up
What is a reasonable prediction for the number of times Johan can expect the coin to land heads up
Since the coin is fair, we can reasonably predict that Johan can expect the coin to land heads up approximately half the time.
Therefore, a reasonable prediction for the number of times Johan can expect the coin to land heads up out of 40 tosses would be around 20 times.
Therefore, a reasonable prediction for the number of times Johan can expect the coin to land heads up out of 40 tosses would be around 20 times.
1 answer