Rectangle side length is 20
20 times 5=100
Sq 10x10=100
Answer:
I am unable to see the picture if you type it i can possibly help
Step-by-step explanation:
Answer:
Step-by-step explanation:
In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?
A. -1
B. 7
C. 10
D. 14
E. 20
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E.
MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain
For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
x: number of hours studied.
y: test scores.
The linear relationship would be of the form:
y = mx + b
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
y = 8x + 40
For three hours of study we have that the note would be approximately:
y = 8 * (3) + 40
y = 64
(c) What does the number 40 in Part (b) mean in the context of the situation?
The number 40 means that if you do not devote any study time, then you expect the test score to be 40.
Answer:
a) There is no solution to the equation.
b) Solution: x = 16
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(x + 5) - 9 = -12
add 9 to both sides of the equation
√(x + 5) = -12 + 9
√(x + 5) = -3
Square both sides of the equation
x + 5 = 9
Subtract 5 to both sides
x = 9 - 5
x = 4
Let´s check the solution:
√(x + 5) - 9 = -12
√(4 + 5) - 9 = -12
√9 - 9 = -12
3 - 9 = -12
-6 ≠ -12
Then x = 4 is not a solution to the equation.
b) Let´s write the equation:
√(4x - 7) = √(3x + 9)
square both sides of the equation
4x - 7 = 3x + 9
subtract 3x and add 7 to both sides of the equation
4x - 3x = 9 + 7
x = 16
Let´s check the solution:
√(4x - 7) = √(3x + 9)
x = 16
√(4(16) - 7) = √(3(16) + 9)
√57 = √57
Then x = 16 is the solution to the equation