9514 1404 393
Answer:
(0, c)
Step-by-step explanation:
Compare the given equation to the vertex form equation ...
y = a(x -h)^2 +k . . . . quadratic with vertex (h, k)
You have ...
y = ax^2 +c
Matching these forms, we see that h=0, and k=c. Then the vertex is ...
(h, k) = (0, c)
Helpp plzz will mark brainleast
Can somebody tell me the answer for this one
The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to find the annual growth rate. (Round your answer to 2 decimal places.)
Answer:
the annual growth rate is 15.47 %
Step-by-step explanation:
Given the data in the question;
Internet users grew from 25.8 million to 70.6 million,
from the year 2009 to the year 2016.
Using geometric mean, Annual growth rate = ?
To determine the average growth rate of a time series using geometric mean, we use the following formula;
[tex]r_{geo[/tex] = [ [tex]([/tex] Xₙ / X₀ [tex])^{\frac{1}{n}[/tex] ] - 1
where Xₙ is the data value of the last year { 70.6 million }
X₀ is the data value for the first year { 25.8 million }
n is the sample size or the time difference, ( 2016 - 2009 = 7 )
so we substitute;
[tex]r_{geo[/tex] = [ [tex]([/tex] 70.6 / 25.8 [tex])^{\frac{1}{7}[/tex] ] - 1
[tex]r_{geo[/tex] = [ [tex]([/tex] 2.736434 [tex])^{\frac{1}{7}[/tex] ] - 1
[tex]r_{geo[/tex] = [ 1.15466 ] - 1
[tex]r_{geo[/tex] = 0.15466
[tex]r_{geo[/tex] = ( 0.15466 × 100 )%
[tex]r_{geo[/tex] = 15.47 %
Therefore, the annual growth rate is 15.47 %
In April 1986, a flawed reactor design played a part in the Chernobyl nuclear meltdown. Approximately 14252 becqurels (Bas), units of radioactivity, were initially released into the environment. Only areas with less than 800 Bas are considered safe for human habitation. The function f) = 14252(0.5) describes the amount, (), in becqurels, of a radioactive element remaining in the area of years after 1986. Find f(220) to determine the amount of becqurels in 2206. Determine if the area is safe for human habitation in the year 2206.
A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
B. No, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
C. Yes, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
D. No, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
Answer:
A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
Step-by-step explanation:
Function for the amount of radioactivity:
The function for the amount of radioactivity, in t years after 1996, is given by:
[tex]f(t) = 14252(0.5)^{\frac{t}{32}}[/tex]
Find f(220) to determine the amount of becqurels in 2206.
[tex]f(220) = 14252(0.5)^{\frac{220}{32}} = 121.42[/tex]
121.42 < 600, so the area will be safe, and the correct answer is given by option A.
The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.
a. 95%.b. 2.5%.c. 5%.d. 97.5%.
Using the Empirical Rule, the percentage of students who scored greater than 700 is:
b. 2.5%
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.700 is two standard deviations above the mean. 5% of the measures are more than two standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of these measures are below 300 and 2.5% are above 700, hence option B is correct.
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What is the slope of the line that passes through the points (-1, 0) and (3, 8)?
Help me PLEASEEEEEEEEEEEEE
Answer:
Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]Step-by-step explanation:
Given,
Gallon of juice drank in 5 weeks = 4
Therefore,
Gallon of juice drank in 1 week
[tex] = \frac{4}{5} (ans)[/tex]
The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches
length of base is2 inches:
Answer:
Solution given:
According to the questionArea of triangle=14 square inches
bh=14
7*b=14
b=14/7
b=2
length of base is2 inches:
if
A=½bh
then
Area of triangle=14 square inches
½bh=14
½*7*b=14
b=14*2/7
b=4 inches
the length of the base of the triangle is 4inches.
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
What is mean by Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
The area of a triangle = 14 square inches
Height of a triangle = 7 inches
Now,
The given formula for a triangle is;
⇒ A = bh
Where, A is the area, b is base and h is the height of the triangle.
Substitute all the values in above equation, we get;
⇒ A = bh
⇒ 14 = b x 7
Divide by 7, we get;
⇒ 14/7 = b
⇒ b = 2 inches.
Therefore,
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
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Help pls this is 5th grade math
Answer:
1.35
2.54
3.32
4.64
5.121
6.70
Answer:
1: 35
2: 54
3: 32
5: 64
6: 121
7: 70
Step-by-step explanation:
1: 180-(110+35)
2: 180-(74+52)
3: 180-(58+90)
5: 180-(52+64)
6: 180-(36+23)
7: 180-(56+54)
Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the height of the Eiffel Tower, a horizontal side of length 130 feet across the ground, and an unlabeled hypotenuse. The angle formed by the hypotenuse and the horizontal side measures 85.691 degrees. 130 ft The height of the tower is nothing feet.
Answer:
1725.1 feet
Step-by-step explanation:
It is given that there is a right angled triangle having a base of length of 130 feet. The angle between the hypotenuse and the base is given as 85.691 degrees.
Therefore, to find the height, we know :
[tex]$\tan \theta = \frac{\text{height}}{\text{base}}$[/tex]
[tex]$\tan 85.691 = \frac{\text{h}}{\text{130}}$[/tex]
[tex]$13.27 = \frac{\text{h}}{\text{130}}$[/tex]
h = 13.27 x 130
= 1725.1 feet
Therefore, the height of the Eiffel tower = 1725.1 feet
the concavity of a function is described by its
expression
1st derivative
2nd derivative
3rd derivative
The concavity of a function is described by its second derivative.
-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.
-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.
-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.
-The third derivative, at least in my experience, has only been used to find acceleration of a function.
Hope this helps!! :)
The concavity of a function is described by its 2nd derivative
The concavity of a function is dependent on the rate of change of a function's derivative
Assume the derivative of a function is f'(x), so the second derivative would be represented as: f"(x)
When f"(x) > 0, then the function is concave downward.
However, if f"(x) < 0, then the function is concave upward.
Hence, the concavity of a function is described by its 2nd derivative
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A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?
WITH SOLUTION PLEASE
Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?
V = L x W x H
Volume = length x Width x Height.
V = (5cm) (3cm (9cm)
V = 135cm^3
Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)
y’all pls i’m in pain here
Answer:
it's the first one
Step-by-step explanation:
sorry if im wrong but i think it's right
Answer:
its the first
Step-by-step explanation:
first see how much it increases (1/2x)
and then where on the y line its crossing (+4)
sorry for bad english
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
At a student art fair, 100 projects were on display. Of all the
3
art projects, were paintings and were photographs.
4.
5
How many of the projects were photographs or paintings?
Answer: 90 projects in all 1/5 were photographs 1/5 of 90=90/5=18
Step-by-step explanation: done :)
Answer:
i cannot see the numbers, can you type them out??
Step-by-step explanation:
i can add answer once you tell me
1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.
Answer:
See belowStep-by-step explanation:
This is how I solved it.
Plotted the given points. See the attached.
Identified two pairs to connect, the two chords.
(5. 5) with (7, 1) and (6,4) with (-2, 4).Determined the equation of both lines:
y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒ y - 5 = -2(x - 5)y = -2x + 15and
y = 4 (horizontal line)Identified perpendicular bisectors of those two chords, they both pass through the center of circle.
Midpoints of the chords:
[(5 + 7)/2, (5 + 1)/2] = (6, 3)and
(6 - 2)/ 2 = 2The equations:
y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)Solving the system found the intersecting of those, the center.
Found the center:
(2, 1)Found the distance from the center to one of the points (7, 1):
7 - 2 = 5, this is the radiusThe equation of circle:
(x - 2)² + (y - 1)² = 25Verified all the other points are on same circle, confirmed.
A school has 500 students. 340 are boys
a student is chosen at random. find the probability that student is a girl
Answer:
p = 8/25
Step-by-step explanation:
500 - 340 = 160 girls
p = 160/500
p = 8/25
NO LINKS PLS HELP MMEEE
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
Find the area of an 11-gon with side length 5 inches.
Answer:
234.141
Step-by-step explanation:
The formula is [tex]\frac{11}{4} *(s)^2*cot(\frac{\pi }{11})[/tex]. If you substitute 5 in, you get [tex]\frac{275}{4} *cot(\pi /11)[/tex] or 234.141
Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.
{6, 47, 49, 15, 43, 41, 7, 36}
First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5
Answer:
Step-by-step explanation:
ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?
Answer:
3888
Step-by-step explanation:
Answer:
25% of 972= 243
243+972=1215 students
Round off 54951 to the nearest 10,000.
Answer 50,000
Step-by-step explanation:
What’s the answer to this one?
Sum of the interior angles of any triangle equal 180 degrees , Thus :
A + B + C = 180
48 + B + 67 = 180
B + 115 = 180
B = 180 - 115
B = 65 degrees
Answer:
B = 65°
Step-by-step explanation:
Area of triangle,
→ 180° = A + B + C
→ 180° = 48° + B + 67°
→ 180° = 115° + B
→ B = 180° - 115°
→ B = 65°
In 15–20, write the number positioned at each point.
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.
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PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS
Harry purchased 5 liter of blackberries. His younger brother ate 1/6 liter of the
blackberries on the way home. How many liters does he have left?
liter
Math
Answer:
f
Step-by-step explanation:
sro;y :-(
Answer:
Since his bro ate 1/6litre...
The remaining is simply
5 - 1/6 = 29/6litres
Can someone please help answer?
can a triangle consists of an acute angle a right angle and a obtuse angle
Answer:
No
Step-by-step explanation:
All triangles have to equal 180 degrees. The sum of those angles would be greater than 180
The area of the base of a cylinder is equivalent to the base of a circle? A) True. B) False
Answer:
Yes
Step-by-step explanation:
The base of both the cylinder and Circle are both circles.
Question 8
1 pts
Jerome went apple picking with his family. In his bag he had four Granny Smith
apples, two Honeycrisp apples, three Gala apples, and one Fuji apple. What is
the probability that he will pick a Honeycrisp apple out of his bag, eat it, and
then choose another Honeycrisp apple? Write your answer as a simplified
fraction.
Answer:
Total apples=10
no.of honeycrisp Apple=2
1). Probability-2/10. =1/5
now total apples left=9
tolyal honey crisp apples left=1
2) probability=1/9
The Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.
The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.
What is probability?Probability is "possibility that deals with occurrence random events".
According to the question,
Total number of apples = 10 apples
Total number of Honeycrisp apples = 2 apples
Formula for probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]
Probability that Jerome pick a Honeycrisp apple out of his bag = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex].
After taking one honey crisp apple remaining one left so subtracting one from total number of apples.
10 - 1 = 9
Probability that Jerome pick to choose another Honeycrisp apple out of his bag = 1/9.
Hence, the Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.
The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.
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