(Write your answers on the space provided) The World Health Organization (WHO) reported that about 16 million adolescent girls between 15 and 19 years of age give birth each year. Knowing the adverse effects of adolescent childbearing on the health of the mothers as well as their infants, a group of students from Magiting High School volunteered to help the government in its campaign for the prevention of early pregnancy by giving lectures to 7 Barangays about the WHO guidelines on teenage pregnancy. The group started in Barangay 1 and 4 girls attended the lecture. Girls from other barangays heard about it, so 8 girls attended from Barangay 2, 16 from Barangay 3, and so on. a. Make a table representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7 assuming that the number of attendees doubles each Barangay 4 3 5 6 2 7 1 Barangay Number of Attendees b. Form a sequence representing the number of adolescent girls who attended the lecture from Barangay 1 to Barangay 7. C. Because people who heard about the lecture given by the group thought that it would be beneficial to them, five more different barangays requested the group to do the lectures for them. If the number of young girls who will listen to the lecture from these five Barangays will increase in the same manner as that of the first 7 Barangays, determine the total number of girls who will benefit from the lecture.
Answers
The sequence of the number of girl attendees at each Barangay is nonzero, given by multiplying the number of attendees in the previous Barangay by 2
The required values are;
a. The completed table is presented as follows;
[tex]\underline{\begin{array}{|l|c|c|c|c|c|c|c|}\mathbf{Barangay}&1&2&3&4&5&6&7\\\mathbf{Number \ of \ attandees}&4&8&16&32&64&128&256\end{array}}[/tex]
b. The sequence of the number of girls attendees aₙ = 4×2⁽ⁿ⁻¹⁾
c. The sum of beneficiaries of the lecture from the twelve Barangay is 16,384 girls
Reason:
Known parameters are;
Number of girls that attended the lecture at Barangay 1 = 4 girls
Number of girls that attended from Barangay 2 = 8 girls
Number that attended from Barangay 3 = 16 girls
a. The required table with the assumption that the number of girls that attended at each Barangay from Barangay 1 to Barangay 7 doubles, is presented as follows;
[tex]\begin{array}{|l|c|c|c|c|c|c|c|}Barangay&1&2&3&4&5&6&7\\Number \ of \ attandees&4&8&16&32&64&128&256\end{array}[/tex]b. The sequence of the number of girls who attended the lecture from Barangay 1 to Barangay 7 is presented as follows;
The sequence is a geometric progression having the form, aₙ = a·r⁽ⁿ⁻¹⁾
The first term of the sequence, a = 4
The common ratio, r = 2 (each term is twice the previous term)
n = The number of terms
The sequence is therefore;
aₙ = 4·2⁽ⁿ ⁻ ¹⁾c. The total number of girls in the geometric progression, (G. P.) is given by the sum of a G. P. as follows
[tex]S_n = \dfrac{a \cdot (r^n - 1 )}{r - 1}[/tex]
Where;
n = The number of terms = 7 + 5 = 12
Which gives;
[tex]S_{12} = \dfrac{4 \times (2^{12} - 1 )}{2 - 1} = \dfrac{4 \times 4,096 }{1} = 16,384[/tex]The total number of girls who will benefit from the lectures, S₁₂ = 16,384 girls
Learn more about geometric progression here:
https://brainly.com/question/14256037
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GIVING 30 POINTS!!!!!!!
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MEAN
Step-by-step explanation:
Have a Great Day!
Answer:
Not quite sure, but I think its the mean?
Find Value of x. The diagram is not to scale.
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Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
What is the lateral area of the pyramid
Answers
Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
what is the range of magazines sold?
please answer will give brainliest
Answers
Answer:
range: 8
Step-by-step explanation:
In order to find the range you need the minimum and maximum
minimum: 17
maximum: 25
Subtract
25-17=8
i need help please i did not understand
Answers
Answer:
Step-by-step explanation:
Add up all the values for the height and divide by 9. do the same for the leaf scars.
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answers
Answer:
0-2/5
I think this is it ;-;
I need this assignment done will give brainliest and extra points.
Answers
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
i only need the awnser for questions 4 and 2 because i dont get them
Answers
Answer:
2) 20 students
4) 28 students
Question 2 is 25% - but it's asking how many. If you know the total number of students multiply that times .25 and that number is your answer. So .25 x 80 = 20
Question 4 is 35% also multiplied times the total number of students. So it would be the total number of students multiplied times .35.
So .35 x 80 = 28
Both of these questions want the number of students, not the percent.
Which statement best describes the association between variable X and variable Y?
perfect negative association
moderate positive association
no association
strong negative association
Answers
Answer:
no association
Step-by-step explanation:
I just took the k12 test.
Suppose you roll a special 34-sided die. What is the probability that the number rolled is a "1" OR a "2"?
Answers
P(1 or 2) = P(1) + P(2) = 1/34 + 1/34 = 2/34 = 1/17.
So the probability of rolling a 1 or a 2 is 1/17.
Eli is feeling gift bags each bag will have three baseball cards which number sentence could either used to find how many bags he can fill if he has 21 cars
Answers
Answer:
7
Step-by-step explanation:
if he has to be 3 in each baseball card and has 21 cards then you would divide 21 by 3 and get 7 which is your answer.
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
I just need someone to do this for verification of my work:
What is the volume of the composite figure if both the height and the diameter of the cylinder are 2.5 feet? Give the exact answer and approximate to two decimal places.
Answers
Answer:
16.36ft³
Step-by-step explanation:
First find the volume of the cylinder the add to the volume of the hemisphere.
I hope this helps.Its a trial btw feel free to delete if its not right lmmao
Answer:
16.36 ft3
Step-by-step explanation:
Volume of a Cylinder
V= π r2 h
π • 1.253 • 2.5 = 12.27ft3
Volume of a Hemisphere
2 • π • 1.253
2 • π • 1.95
12.26 /3 = 4.09 ft3
Both
4.09 ft3 + 12.27 ft3 = 16.36 ft3
Data and
ts
Which data set could be represented by the box plot shown below?
Ots
ng box
+
box plot
25
28
31
34
37
40
ole: Creating
number of
Choose 1 answer:
Sle: Creating
n number
25, 28, 28, 29, 30, 34, 35, 37, 37, 38
25, 28, 29, 29, 30, 34, 35, 35, 37, 38
ting box
25, 28, 29, 29, 32, 34, 35, 36, 37, 38
ox plots
25, 28, 29, 29, 30, 34, 35, 35, 37, 40
preting
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Answer: is D on khan academy
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.
Answers
statement 1 b/c 6/12 = 1/2
If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /
Answers
Answer:
1/4
Step-by-step explanation:
If you flip it twice the possible outcomes are
H H
H T
T H
T T
The chances of you getting H H is 1 / 4. If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.
H H H *
H H T *
H T H
H T T
T H H *
T H T
T T H
T T T
What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25
Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are
H H H H
H H H T
H H T T
H H T H
T H H T
T T H H
H T H H
I'm sure there might be a couple of more, but already you have done better than 3/8
7/16 is almost 1/2
7/16 = 0.4375
I think however that the answer you should submit is 1/4
If a quadrilateral has these known angle degrees: 35, 35 and 145, what are the degrees of the fourth angle?
Answers
Answer:
145
Step-by-step explanation:
The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.
write a mathematical equation and calculate the area of the irregular polygon
Answers
A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?
Answers
Answer:
111 red balls
Step-by-step explanation:
125×0.03= 3.75 3balls
125×0.09=11.25 11balls
125-3-11=111
111 is red
Mrs Lee is setting up chairs for a band concert. The front row will have ten chairs. Thereafter each row will have four more chairs than the front row in front of it. Mrs Lee knows that there will be five rows. How many chairs will she need?
Answers
3. State if each statement is correct. If it is not correct, then fix the mistake.
For three problems explanation and work needed
SOON ASP!!!! please.
Answers
Answer:
All are incorrect
Step-by-step explanation:
Required
Determine which is correct or not
[tex](a)\ 2x * 2x = 4x[/tex]
This is incorrect because:
[tex]2x * 2x = 2 * 2 * x*x[/tex]
[tex]2x * 2x = 4x^2[/tex] ---- fixed
[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]
This is incorrect because:
[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]
[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]
[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed
[tex](c)\ 4x(4x + 5) =8x + 5[/tex]
This is incorrect because:
[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]
[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed
Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU
Answers
A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed
Answers
Answer: It’s B E and D
Step-by-step explanation:
The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle
Answers
Answer:
6 units^2
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]3^{2} +b^{2} =5^{2}[/tex]
[tex]9+b^{2} =25[/tex]
[tex]b^{2}=16[/tex]
[tex]b=4[/tex]
Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2
Answer in the attachment :)
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I think it's c hope it's right
Uhh help?? I’m highly confused I just want answers
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Answer:
1) x = 5√3, y = 5
2) x = 16, y = 8
3) x = 10, y = 5
4) m = 9√15/10, n = 9√5/10
5) x = 3√3/2, y = 3/2
6) x = 6√5, y = 3√5
7) x = 5, y = 5
8) x = 5√2, y = 5
9) a = 2, b = √2
10) m = 10√6/3, n = 5√6/3
Explanation:
For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.
For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.
For 45° - 45° - 90° triangles (Isosceles Right),
Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.
This is all computed as a result of the trigonometric functions:
SOH CAH TOA.
This is a shortcut for these specific triangles.
If you do not have the side marked as x, just do the inverse operation to get it.
90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)
Plz help me well mark brainliest if correct!!
Answers
Answer:
Midnight (D)
Step-by-step explanation:
The figure below shows the dimensions of an arrow painted on the pavement of a parking lot. The entire length of the arrow is 6.5 feet (ft.). What is the area of the arrow?
Answers
Answer:
62.5 I think
Step-by-step explanation:
Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility
Answers
“Subjectivity” is the answer i believe .
Answer: D
Step-by-step explanation:
Fits the definition
3p + 10 = 2p + 21
a. 15
b. 17
c. 11
d. 21
Answers
Answer:
c. 11
Step-by-step explanation:
3p + 10 = 2p + 21
Subtract 2p from both sides.
3p - 2p + 10 = 2p - 2p + 21
Simplify.
p + 10 = 21
Subtract 10 from both sides.
p + 10 - 10 = 21 - 10
Simplify.
p = 11
Answer: c. 11
Answer:
c.11
Step-by-step explanation:
3+10=2+21
3+10−10=2+21−10
3=2+11
3−2=2+11−2p
=11
hope this helps
have a nice day
Can someone help me pls I’m stuck
Answers
Answer:
Given quadrilateral can't be inscribed in a circle.
Step-by-step explanation:
Property of a cyclic quadrilateral,
Sum of opposite angles of a cyclic quadrilateral is 180°
If the given quadrilateral fulfills this property, it can be inscribed in a circle.
From the given quadrilateral,
Sum of opposite angles = 168° + 22°
= 190°
Therefore, answer is NO.
Given quadrilateral can't be inscribed in a circle.