So, we need to find out how many 8 cups is converted to quarts.
1 cup = 0.25 quart
Now that we know the 1 cup equals 0.25 quarts, we can multiply how many cups by the amount of one cup.
8 (cups of water) × 0.25 (equal of one cup) = 2 quarts
Julia drinks <span>2 quart</span>s of water per day.
Answer:
• Shift 5 units to the left >>> f(x) = |x+5|
• Shift 4 units down >>> f(x) = |x| - 4
Step-by-step explanation:
If we have the parent function:
f(x) = |x|
<u>For horizontal translations:</u>
- |x-a| means horizontally translated a units right
- |x+a| means horizontally translated a units left
<u>For Vertical translation:</u>
- |x| + b means vertically translated b units up
- |x| - b means vertically translated b units down
From the translation rules, we can say:
Shift 5 units left would be:
|x+5|
and
Shift 4 units down would be:
|x| - 4
Thank you!
Have a good day!
Answer:
Step-by-step explanation:
Corresponding sides of these triangles are proportional, so you have ...
x/5 = 20/x
x² = 5·20 . . . . . . . cross multiply
x = √100 = 10
and ...
y/15 = 5/y
y² = 15·5 . . . . . . cross multiply
y = √75 ≈ 8.7
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For more on the subject, see ...
brainly.com/question/26276659
9514 1404 393
Answer:
149.04°
Step-by-step explanation:
You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.
When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)
You find the 2nd-quadrant angle by adding 180° to this value:
-30.96° +180° = 149.04° = arg(-5+3i)
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The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.
