Answer:
46
12+12=24
6+6=12
8+8=16
24+12+16:46
(1 point) An innovative rural public health program is reducing infant mortality in a certain West African country. Pretend the program in Senegal has been reducing infant mortality at a rate 7.3 % per year. How long will it take for infant mortality to be reduced by 33 %
Answer:
Infant mortality will reduce to 33% in 1.63 years
Step-by-step explanation:
Let the population be X
Population after 1 year
[tex]X - 7.3[/tex] % of [tex]X[/tex]
[tex]X -0.073 X\\0.927X[/tex]
As we know
[tex]P = P_0 * e^{rt}[/tex]
Substituting the given values we get -
[tex]\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\[/tex]
Taking log on both sides we get -
[tex]-0.20273 = -0.33 * t\\t = 1.627[/tex]
You can form a general expression for resultant reduction percentage after t years. Then equate it with 33% to get the value of t
The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
How to find a general expression for resultant reduction percentage after t years?The rate of decrement for infant mortality rate is 7.3% per year.
Let the mortality rate in the start be [tex]r[/tex]
Then after 1 year it becomes
[tex]r - \dfrac{r}{100} \times 7.5 = r(1-\frac{7.5}{100}) = r_1 \text{\: (say)}[/tex]
After 1 more year, we will have:
[tex]r_1 -> r_1(1 - \frac{7.5}{100}) = r(1-\frac{7.5}{100})(1-\frac{7.5}{100}) = r(1-\frac{7.5}{100}) ^2 = r_2 \text{\: (say)}[/tex]
Thus, after t years, we will have:
[tex]r_t = r(1-\frac{7.5}{100})^t[/tex]
Simplifying it, we get:
[tex]r_t = r(1 - 0.075)^t = r(0.925)^t[/tex]
The percent of decrement can be calculated by:
[tex]p = \dfrac{\text{old rate - new rate}}{\text{old rate}} \times 100[/tex]
Thus,
the percent of decrement after t years will be
[tex]p = \dfrac{r - r_t}{r} \times 100 = \dfrac{r(1- (0.925)^t)}{r} \times 100 = 100(1-0.925^t)\\\\p = 100(1-0.925^t)[/tex]
We need the time after which the infant mortality rate would be reduced by 33%, thus, p = 33%
or
[tex]p = 33\\p = 100(1-0.925^t) = 33\\1 -0.925^t = \dfrac{33}{100}\\t = log_{0.925}(1 - \dfrac{33}{100}) \approx 3.3525[/tex]
Thus, after approx 3.35 years, the mortality rate would decrease by 33%
Thus,
The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.
Learn more about percentage here;
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complete the equation 5/4= ×1/4
Answer:
X = 5
Step-by-step explanation:
A water cooler holds 18 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters) (3 points)
3 gallons
4 gallons
5 gallons
14 gallons
Answer:
i think its approximately 5 gallons because if you do 4 gallons it would be 15.14 liters and if u do 5 gallons it would be 18.925 liters its the one that is a little more close i think
Answer:
5 liters
Step-by-step explanation:
El costo de producir x artículos está dado por y= 2.8 x + 729 y cada artículo se
vende a $27.
a.
Encuentre el punto de equilibrio.
b. A partir de qué valor de x se comienza a tener pérdida, ganancia?
Answer:
me gusta las mujeres :)
Step-by-step explanation:
absolute value |27 1/4|
Answer:
421/33
Step-by-step explanation:
After picking up a friend who lives 10 miles away and leaving for a trip, Anna records her distance from home over time. The values are shown in the table below. Find her average speed over the first 6 hours in miles per hour (do not include units in your answer).
Answer: 47
Step-by-step explanation:
Δy/Δx=292-10/6-0=282/6=47
Number of
Popsicles
Total Cost of
Popsicles
2
6
4
12
6
18
8
24
What is the Constant Rate of Change?
Answer:
The constant rate of change is 3
Step-by-step explanation:
Given
x y
2 6
4 12
6 18
8 24
Required
Determine the constant rate of change
Represent the constant rate of change with k.
k is calculated using:
[tex]k = \frac{y}{x}[/tex]
When y = 24; x = 8
So, we have:
[tex]k = \frac{24}{8}[/tex]
[tex]k = 3[/tex]
Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs
Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs
Step-by-step explanation:
the area of this triangle ?
Answer:
8 cm
Step-by-step explanation:
Use pythagorean theorem to find the height (a and b are equal):
[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]
Area is half of the base times height. Base and height are equal for this triangle.
[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]
Find the slope of the line through the points ( 6 x , 5 y ) and ( 4 x , y ) .
Answer:
2
Step-by-step explanation:
How did you compute difference of dollar amounts that were not whole numbers?
The cost of 2 pounds of beef is $11.78. It was on sale for $8.99. How much was the savings?
Select the correct solution from below. Explain below the strategy you used to solve this problem.
Answer:
$2.79
Step-by-step explanation:
$11.78
- $8.99
=$2.79
find the length and the midpoind of the segment with the given endpointsA(2,3 )and B(5,7)
Answer:
[tex]Suppose,~a~line~segment~has~midpoints~(x_1,y_1)~and~(x_2,y_2). Then,\\Midpoint~of~the~line = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})\\Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\According~ to~ the ~question,\\(x_1,y_1) = A(2,3)\\(x_2,y_2) = B(5,7)\\Midpoint~of~AB = (\frac{2+5}{2},\frac{3+7}{2}) = (\frac{7}{2},5)\\AB = \sqrt{(5-2)^2+(7-3)^2} = \sqrt{3^2+4^2} = 5units[/tex]
The ratio of pharmacy technicians on duty at the hospital during for the day vs. night shifts is 32:19. 1. Express as a percentage how many pharmacy technician staff work the night shift. Round your final answer as a percentage rounded to two decimal places. Explain the answer
Answer:
37.38
Step-by-step explanation:
Remark
The ratio tells you how they are divided between night and day.
In other words night/ day = 19/32
That's not what you want.
What you want is night over total.
Total
Total = night + day = 19.1 + 32 = 51.1
Night Percent
Night% = Night * 100 / Total
Night% = 19.1 * 100 / 32
Night% = 37.38 %
Here, we are required to express ratio as a percentage
The percentage of pharmacy technician during the night is 37.25%
pharmacy technician during the day = 32
pharmacy technician during the night = 19
Total ratio = 32 + 19
= 51
percentage of pharmacy technician during the night = pharmacy technician during the night / Total ratio × 100
= [tex] \frac{19}{51} \times 100[/tex]
= 0.3725490196078 × 100
= 37.254901960784%
Approximately
37.25% to two decimal place
This means 37.25% of pharmacy technician work during the night
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is this table proportional?
explain
Answer:
yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.
Hope it helps!
What day of the week was September 16, 1921?
3 points
Captionless Image
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Answer:
Friday
Step-by-step explanation:
what is [tex]\frac{-8 + \sqrt{-20} }{24}[/tex]?
Answer:
[tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FactoringAlgebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{-8 + \sqrt{-20}}{24}[/tex]
Step 2: Simplify
[Fraction] [√Radical] Factor: [tex]\displaystyle \frac{-8 + \sqrt{-1}\sqrt{20}}{24}[/tex][Fraction] [√Radical] Evaluate: [tex]\displaystyle \frac{-8 + i\sqrt{20}}{24}[/tex][Fraction] [√Radical] Simplify: [tex]\displaystyle \frac{-8 + 2i\sqrt{5}}{24}[/tex][Fraction] Factor numerator: [tex]\displaystyle \frac{2(-4 + i\sqrt{5})}{24}[/tex][Fraction] Simplify: [tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]A sum of money is divided among Khairul, Michael and Ethan in the ratio
6:4: 5. After Khairul gives $30 to Michael and $15 to Ethan, the ratio
becomes 7:6:7. Find the amount of money Khairul had initially.
Answer:
$360
Step-by-step explanation:
The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.
This would be 6x : 4x : 5x
Khairul gives $30 to Michael and $15.
The ratio is. Now;
(6x - 45) : (4x + 30) : (5x + 15)
We are told this is equal to the ratio 7:6:7
Thus;
((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7
(10x - 15)/(5x + 15) = 13/7
Factorize the left hand side;
5(2x - 3)/5(x + 3) = 13/7
5 will cancel out to get;
(2x - 3)/(x + 3) = 13/7
Cross multiply to get;
7(2x - 3) = 13(x + 3)
14x - 21 = 13x + 39
14x - 13x = 39 + 21
x = 60
Amount Khairul had initially was denoted as 6x.
Thus,6x = 5 × 60 = $360
find the average rate of change f(x)=x^2-4x+1 from x=2 to x=6
Answer:
it would be 4
which best illustrates the distinction between statistical significance and practical importance
Answer:
are there options? if so can you add them?
Step-by-step explanation:
find the sum of the 2 terms of an A P are in the ratio of (2n-1):(2n+1) then find the ratio of their 10th term
Answer:
37/39
Step-by-step explanation:
We know that formula for n terms of an AP is written as;
(n/2)(2a + (n - 1)d)
Let the sum of the first AP be;
(n/2)(2a + (n - 1)d)
Let the sum of the second AP be (n/2)(2A + (n - 1)D)
We are told that they have a ratio of (2n-1):(2n+1)
Thus;
(2n-1)/(2n+1) = [(n/2)(2a + (n - 1)d)]/[ (n/2)(2A + (n - 1)D)]
On RHS, n/2 will cancel out to give;
(2n-1)/(2n+1) = [(2a + (n - 1)d)]/[(2A + (n - 1)D)]
Rewriting this we have;
(2n - 1)/(2n + 1) = [(a + ½(n - 1)d)]/[A + ½(n - 1)D)]
But we want tod find;
(a + (n - 1)d)/(A + (n - 1)D)
Thus,at n = 10, we have;
(a + 9d)/(A + 9D)
Comparing with [(a + ½(n - 1)d)]/[A + ½(n - 1)D)], we can say that;
½(n - 1) = 9
n = 18 + 1
n = 19
Thus;
(a + 9d)/(A + 9D) = (2n-1)/(2n+1)
Putting n = 19 gives;
(a + 9d)/(A + 9D) = (2(19) - 1)/(2(19) + 1)
(a + 9d)/(A + 9D) = 37/39
What is the slope of the line through the points (-2, -1) and (4, 3)?
HELP ITS FOR AN EXAM
Answer:
2/3
Step-by-step explanation:
slope=3-(-1)/4-(-2)=4/6=2/3
The table shows the number of volleyballs that fit into a given number of containers. Each container holds the same number of balls. Enter the missing value from the table.
Answer: 7
Step-by-step explanation:
It's a 1 : 3 ratio so the answer should be 7
how to convert 7,293 a into a fraction
Answer:
is it a decimal
Step-by-step explanation:
Answer: It’s .7293 or 7293
The Continental Drift Hypothesis asserts that
our continents have been for millions of
years.
a Decreasing
b Rising
C Moving
d Growing
-8x less or equal to 38
Answer:
Less
Step-by-step explanation:
The measure of the angles of ABC are given by the expression in the table.
The picture of the question is above^^
(Please give answer with examples)
Step-by-step explanation:
Prolly not the correct answer but oh well
Good luck
8 The cost of a laptop increased by 25% between
2015 and 2019
In 2019. the laptop cost £1000
How much did the laptop cost in 2015?
Given:
The cost of a laptop increased by 25% between 2015 and 2019.
In 2019, the laptop cost £1000.
To find:
The cost of the laptop in 2015.
Solution:
Let x be the cost of the laptop in 2015.
The cost of a laptop increased by 25% between 2015 and 2019. So, the cost of the laptop in 2019 is
Cost of laptop in 2019 = [tex]x+\dfrac{25}{100}x[/tex]
= [tex]x+0.25x[/tex]
= [tex]1.25x[/tex]
In 2019, the laptop cost £1000.
[tex]1.25x=1000[/tex]
[tex]x=\dfrac{1000}{1.25}[/tex]
[tex]x=800[/tex]
Therefore, the cost of the laptop in 2015 is £800.
Find the area of this parallelogram.
13 cm
15cm
A
20cm
Answer:
A = 260 cm^2
Step-by-step explanation:
[tex]a = b \times h \\ a = 20 \times 13 \\ a = 260 \: {cm}^{2} [/tex]
Help please!
I will mark you brainlest
50 points!! I will mark brainliest to the correct answer :) please don’t put random answers... they will be reported. Thanks!
Step-by-step explanation:
Answer for the first question.
since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,
3x - 3 = 12
3x = 12 + 3
3x = 15
x = 5
55° = 7x + y
55° = 7 * 5 + y
35° + y = 55°
y = 55° - 35°
y = 20°
Answer for the second question,
x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }
2x - x = 70° + 2°
x = 72°
Now
<WXY = 2x - 2°
= 2 * 72° - 2
= 142 °
Hope it will help :)❤✔