Answer:
472.2 km
Step-by-step explanation:
(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.
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
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Y varies directly with x. If y = 21, when x = 7, find y when x = 28.
Answer:
y = - 4.98
Step-by-step explanation: This statement means
y
∝
x
, which can also be written in the form
y
=
k
x
when it is directly proportionate and
y
=
k
x
when inversely proportionate, where
k
is a value we need to work out. Since the equation is in the form
y
=
k
x
we know that...
21
=
K
×
7
∴
k
=
21
7
=
3
.
So we can write this as the formula:
y
=
3
x
Therefore using the value of
x
=
−
1.66
y
=
3
x
→
y
=
3
×
−
1.66
=
−
4.98
Pls help ASAP pls it’s reasoning with fractions
Animal
Is a bird can fly
✓
✓
✓
Pig
Penguin
Seagull
Tiger
Crow
Bat
Mosquito
✓
✓
✓
Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
O A. {seagull, crow}
O B. {penguin, seagull, crow, bat, mosquito}
O c. {penguin, seagull, crow}
☆
O D. (seagull, crow, bat, mosquito)
Need Helpp
Answer:
A. {seagull, crow}
Step-by-step explanation:
sorry im late but hopefully this helps anyone!
The option A is correct {seagull, crow}.
What is probability?Chance is represented by probability. A part of math manages the event of an irregular occasion. The value is expressed as a number from 0 to 1. Likelihood has been acquainted in Math's with anticipate how likely occasions are to occur. The extent to which something is likely to occur is basically what probability means. The probability distribution is also based on this fundamental probability theory.
Given a table shows relation in Animals is a bird and can fly
where, Let event A = The animal is a bird
Let event B = The animal can fly.
to find the outcomes are in A and B
According to the table, each of the two events provided by the problem describes a condition that must be verified. The first event specifies that it must be a bird, while the second event specifies that it must fly.
Accordingly, the creatures that have the two occasions confirmed in the table are he seagull and crow.
Hence the {seagull, crow} are outcomes are in A and B.
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(w2x−3)÷10⋅z when w=−9, x = 2.7, and z=−2/5
[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]
Rounding up numerator[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]
[tex]\\ \sf\longmapsto -44[/tex]
Step-by-step explanation:
(-9)^2(2.7)-3/10(-2/5
= 81(2.7)-3/-2(2)
= 218.7-3/-4
= 215.7/-4
= -44
Find the slope of the line graphed below. m=(
Answer:
m = 2
Step-by-step explanation:
Rise:4 and run=2
4/2 = 2
Complete the similarity statement for the two triangles shown.
Enter your answer in the box.
△ABC∼△ =
Y-(-3y) create an equivalent equation
9514 1404 393
Answer:
4y
Step-by-step explanation:
There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms
y -(-3y) = y +3y = y(1 +3) = 4y
__
All of the expressions shown as equal are equivalent.
Linear equations - a reminder
If I was to sketch the graph of
y = 4x + 2
what would the graph look like?
Would it be a straight line or a curved line?
Where would it cross the y-axis?
What does the 4 in 4x tell us?
Answer:
Straight line
Step-by-step explanation: The 4x tells us the slope it means up 4 right 1 it would cross the y axis at 2 since its the y intercept
X Y
0 2
1 6
2 10
A farmer is enclosing a square area for his pigs as shown below. Use the formula A = s to the second power to find the area of the pig pen.
The area of the given figure that is mentioned is 64.
A square has congruent angles on each side. The square's area is thus equal to its square divided by its side length.
Let a represent the square's side length. The area of the square will be calculated as:
Area of the square = a² square units
The side provided is 8 ft
The area will be
= a²
= 8²
=64
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What is the length of segment AB?
A. 5
B. 6
C. 8
D. 10
AB = 10
Step-by-step explanation:
AB² = (6 - 0)² + (10 - 2)²
AB² = 6² + 8²
AB² = 36 + 64
AB² = 100
AB² = 10²
AB = 10
What is the last digit of Pi?
Also, what are the five digits before the last digit?
Answer:
There is no last digit of Pi. Pi is an ongoing number that never repeats or ends.
:)
f(x)=10x^2-5x-3, evaluate f(-3)
Answer:
f(-3)= 10(-3)^2 - 5(-3) - 3
=90 + 15 -3
f(-3) = 102
Step-by-step explanation:
HELP LAST ATTEMPT !?!!
Answer:
x=26
Step-by-step explanation:
4x+1+2x+23=180 [Angles in a straight line]
6x=180-24
x=156/6
x=26
Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?
Answer:
30
Step-by-step explanation:
6x5
The original price of the jersey is $ 30
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the original price of the jersey be = $ x
The percentage discount on the original price = 20 %
The difference between the original price and the discounted price = $ 6
So ,
By the percentage equation ,
Percentage discount on the original price = difference between the original price and the discounted price
And ,
( 20 / 100 ) of original price = $ 6
On simplifying the equation , we get
( 20/100 ) x = 6
( 1/5 ) x = 6
Multiply by 5 on both sides , we get
x = 5 x 6
x = $ 30
So , the original price of the jersey is $ 30 and the discounted price is $ 24
Hence , the original price of the jersey is $ 30
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8 in+ 34 in. Round to the correct precision
Answer:
3 feet 6 inches
Step-by-step explanation:
If we add those inches together, we get 42 inches. Turn that to feet (12 in in a foot) and we get 3.5 feet, or 3 feet and 6 inches.
identify two opposite rays.
please help me asap
Answer:
AP-> and AM->
Step-by-step explanation:
They are the only two rays that directly-oppositely face one another.
10 push-ups in 2 days= ?
Answer:20
Step-by-step explanation:
Cuz 10+10=20
The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.
The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
The perimeter of the circle = πd where d is the dia of the circle.
Given a triangle with sides a,b and c
The perimeter of triangle is = a + b+ c
So,
The perimeter of the triangle is the sum of all sides.
Hence The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.
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Solve:-4(-6x - 3) =12
Answer:
Step-by-step explanat ion:
<=>2 4x+12 = 12
<=>24 x = 0
<=>x =0
The function f is defined by the following rule.
f(x) = 3x-1
Complete the function table.
Answer:
hope it helps
...
.........
Write the slope-intercept equation of the line with slope -3/4 passing through the point (-4,5). If necessary, answer using fractions, not decimals.
Answer:
Answer:
y = -3/4x + 2
Step-by-step explanation:
y = -3/4x + b
5 = -3/4(-4) + b
5 = 3 + b
2 = b
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6 ft
Step-by-step explanation:
Multiply by 2 on each side: (8*2) = (3*2)
New ratio: 16 = 6
Final answer: 6ft
in the similarity transformation of abc to def, abc was dilated by a scale factor of [?], reflected across the [ ], and moved through the translation [ ].
The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
How to complete the similarity statement?From the figure, we have:
AB = 2 units
DE = 4 units
So, the scale factor (k) is:
k = DE/AB
k = 4/2
k = 2
So, the scale factor is 2
Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.
This means that the triangle is reflected across the x-axis with no translation.
Hence, the complete similarity transformation is:
abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
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Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?
Answer:
from the little i can see, they are all correct
Explain the steps you would take to find a quotation of 1/3÷4/3
Answer:
Answer btw is 1/4 ;)
Step-by-step explanation:
First step in dividing fractions is to flip the second fraction, aka find the inverse.
[tex]\frac{1}{3}/\frac{4}{3} \\\frac{1}{3}*\frac{3}{4}[/tex]
All you have to do from here is multiply.
[tex]\frac{3}{12}=\frac{1}{4}[/tex]
Boom.
Help
Solve the inequality. Then, graph the solution set on a number line. (Show all your work)
that's what it's graph looks like.
Step-by-step explanation:
[tex] |2w + 8| \geqslant 15[/tex]
[tex] \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}[/tex]
(that's a property, if |x| >= a
=> x >= a or x <= -a)
[tex] \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}[/tex]
[tex]\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}[/tex]
[tex]\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }[/tex]
Which equation does NOT have the same solution as 1/3(9-2x)=x+1?
Answer:
op90
Step-by-step explanation:
20pens cost #300 and 50pens cost #750
(a)is the cost of pens directly proportional to the number of pens?
Answer:
669
Step-by-step explanation:
25,812-4.2d=31.311-5.5d
Answer:
d=−19831.299231
Step-by-step explanation:
