Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
ANSWER
99.83 grams
EXPLANATION
The function that describes the amount of sample (in grams) after t years of decomposition is:
To get the amount of carbon 14 after 14 years, we calculate <em>C(14)</em> as following:
This way, we'll have 99.83 grams left.
Answer:
0.04
Step-by-step explanation:
becausse thats the tenth power
Answer:
- domain: all reals
- range: y ≥ 2
Step-by-step explanation:
The domain of any polynomial function, quadratics included, is "all reals."
The graph opens upward, so the y-value of the vertex is the minimum value of the range: y ≥ 2.
Answer:
70°
Step-by-step explanation:
Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.
From the figure, central angle AOB has the measure of 220°.
Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.
Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so
m∠OAB + m∠OBA + m∠AOB = 180°
m∠OAB = m∠OBA = 1/2 (180° - 140°)
m∠OAB = 20°
Since drawn line is tangent line, then OA is perpendicular to this tangent line and
x° = 90° - 20°
x° = 70°