Answer:
a) [tex]P(t) = 3166t + 65309[/tex]
b) The slope of 3166 means that each year, the population increases, on average, by 3166 million people.
The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.
c) The estimated population of Pakistan in 2027 will be of 239 439 million people.
Step-by-step explanation:
Linear function:
In this question, the linear function for the Population in Pakistan in t years after 1972 is given by the following equation:
[tex]P(t) = mt + P(0)[/tex]
In which P(t) is given in millions of people.
In which m is the slope, that is, the average number by which the population changes each year, and P(0) is the population in 1972.
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
In 1972, the population was of 65.309 million. This means that [tex]P(0) = 65.309[/tex].
So
[tex]P(t) = mt + 65.309[/tex]
In 2017, the population was 207.774 million.
2017 - 1972 = 45
This means that [tex]P(45) = 207.774[/tex]. So
[tex]207774 = 45m + 65309[/tex]
[tex]45m = 207774 - 65309[/tex]
[tex]m = \frac{(207774 - 65309)}{45}[/tex]
[tex]m = 3166[/tex]
So
[tex]P(t) = 3166t + 65309[/tex]
b) Interpret the slope and P intercept
Following the explanation before item a:
The slope of 3166 means that each year, the population increases, on average, by 3166 million people.
The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
2027 - 1972 = 55
So this is
[tex]P(55) = 3166*55 + 65309 = 239 439[/tex]
The estimated population of Pakistan in 2027 will be of 239 439 million people.
please help meeeeeeright now
The answer is 4 pairs.
Think of having x number of pairs, and $4.29x for the price of those pairs. 8.58 is standalone, so we focus on writing the equation:
[tex]8.58+4.29x=25.74\\4.29x=25.74-8.58\\4.29x=17.16\\\frac{4.29}{4.29}=\frac{17.16}{4.29} (division)\\x=4[/tex]
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?
Answer:
2,407mg of sodium is the recommended daily amount
Step-by-step explanation:
Using the cross multiplication you will get the answer.
1. make the problem as a fraction [tex]\frac{2070}{x} =\frac{86}{100}[/tex]
2. Cross multiply (2070*100=86*x)
3. Simplify the equation left. 207000 = 86x
2407 ≈ x (Divide both sides by 86)
4(-3)(-2)
How do
I do this?
Answer:
4(-3)(-2) = 24
Step-by-step explanation:
first solve the numbers in parenthesis.
4(-3)(-2)
= 4(6)
the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.
now solve for 4(6).
4(6) = 24
Give the ratio for tangent (0) in decimal form to 4 digits.
13
4
7.
Answer:
0.5714
Step-by-step explanation:
tan theta = perpendicular upon base that is P/B
P= 4
B= 7
P/B = 4/7 = 0.5714
Two teachers purchase supplies for their classrooms.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Each journal costs the same, and each pencil costs the same.
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
[tex]18x+40y=95.42[/tex]
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
[tex]11x+16y=53.33[/tex]
Now solving these equations to find the value of x
[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]
Multiply eq(1) with 2 and eq(2) with 5
[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
please answer asap!!!!!
Answer:
Angle E, Angle G, Angle F
Step-by-step explanation:
There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F
Answer:
m<E < m<G < m<F
Step-by-step explanation:
it is a 30,60,90 Triangle E = 30, G = 60 and F = 90
Is 2/3 less than 2/8
Answer:
No
Step-by-step explanation:
If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps
All rectangles are _____.
parallelograms
rhombuses
squares
quadrilaterals
All rectangles are parallelograms
what is the equation of the line passing through the points (-4,-7) and (8,-13)
Answer:
y=5/3x-79/7
Step-by-step explanation:
(-4, -7)
x1 y1
(8,-13)
x2 y2
y2-y1/x2-x1=
13+7/8+4= 20/12= 10/6= 5/3
y=5/3x+b
-7=5/3(-4)+b
The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The given points are (-4,-7) and (8,-13).
Then the equation of a line passing through the points (-4,-7) and (8,-13) will be
[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
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An owner buys a used car for $9000. How much is the markup if the percent markup is 7%? Show your work or explain your reasoning to justify your answer.
Answer:
$9,630
Step-by-step explanation:
7% of $9000 is $630, so you just add $9000 and $630.
Are the following triangles similar to each other? If so, why?
Yes the are simailer because of SSS
1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. Line
M passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.
Answer:
Slope of a line passing through ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex]) is given by:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Now,
Slope of line L, (m) = [tex]\frac{-3-(-1)}{-2-2}[/tex] = 0.5
Slope of line M, (n) = [tex]\frac{-1-1}{W-1}[/tex] = [tex]\frac{-2}{W-1}[/tex]
If the lines L and M are parallel to each other,
m = n
or, 0.5 = [tex]\frac{-2}{W-1}[/tex]
or, 0.5 (W - 1) = -2
or, W - 1 = -4
or, W = -3
Therefore the required value of W is -3.
I need help yo!! I probably know who’s gonna answer l m a o
Answer:
1
Step-by-step explanation:
12 divided by 4 = 3
3 divided by 3 = 1
1/4
Other than itself, which angle is congruent to
(PLEASE HELP ILL REWARD)
Answer:
The answer is <GBH
Step-by-step explanation:
ITS because its relation is vertically opposite angle
The graph shows the reciprocal parent function.
Which statement is true?
A. The function has no intercepts.
B. (1,1) is the x- and y-intercept of the function.
C. (0,0) is the x- and y-intercept of the function.
D. (0,1) is the x- and y-intercept of the function.
Answer:
A
Step-by-step explanation:
help pls I need help
help due in 30 min!!!!!!!!!!!!!!!
Answer:
They have the same slope
Step-by-step explanation:
slope=4
Can someone give me a 6 digit number stating with 4? I need this number for a project. Also it needs to be a random number.
Answer:
406789
Step-by-step explanation:
The system of equations y = negative 3 x + one-half and y = one-fifth x minus 1 and four-fifths is shown on the graph below.
What is a reasonable estimate for the solution?
(0.7, –1.7)
(–1.7, 0.7)
(1.4, –3.3)
(–3.3, 1.4)
Answer:
the -1,17,0.7 but if i get it wrong i can give u free points
Step-by-step explanation:
Answer:
-1,17,0.7
Step-by-step explanation:
Which property would you use to find an equivalent expression for 9 x 10?
Answer:multiplication property of equality
Step-by-step explanation:
can someone help me please, i’ll give brainly. (10 points)
Answer:
Gradient of Line A: 0.75
Gradient of Line B: 0.8
Therefore the lines ARE NOT parallel.
Step-by-step explanation:
Find the gradient (slope) of line A and B respectively.
Line A Gradient:
Equation of line A is 3x - 4y = 5
Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).
Thus,
3x - 4y - 3x = -3x + 5
-4y = -3x + 5
Divide both sides by -4
y = ¾x + ⁵/4
The gradient = ¾ = 0.75
Line B Gradient:
Gradient of line passing through (4, 7) and (-1, 3)
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]
Gradient (m) = ⅘ = 0.8
Since both lines do not have the same gradient, therefore the lines are not parallel.
How many questions are in math map 7th grade
Answer:
It really depends how well you are doing. It varies from time to time. Mine was about 40-50 questions
Write value of each digit in 167.7
The place value of every digit in 167.7 is:
167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7What is place value?Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred. The place value of 7,432 is 7,000, or 7,000, however.So, place the value of each digit of 167.7.
167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7So, the place value of each digit is shown.
Therefore, the place value of every digit in 167.7 is:
167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7Know more about place value here:
https://brainly.com/question/25137147
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What is the volume of a cone with a radius of 6 inches and height of 15 inches .
Answer:
565.49 inches cubed
Step-by-step explanation:
Answer:
V = approximately 565.49 in3
what is 2:10 as a percentage
Answer:
20%
Step-by-step explanation:
2:10 = 2/10. 2/10 = 20/100, which equals 20%.
A phone company charges for service according to the formula: C ( n ) = 29 + 0.04 n , where n is the number of minutes talked, and C is the monthly charge, in dollars. The slope in this equation is: ____________
The vertical intercept in this equation is: _____________
Hello!
Answer:Slope = 0.004
Vertical Intercept = 29.
Explanation:Basically, you can rearrange this equation so that is in the form of y = mx + b.
y = mx + b
C(n) = 0.04n + 29
The slope represents the rate of change of the cost per minute talked, and the 29 (vertical intercept) represents the monthly fee. The monthly fee will stay the same, however, the number of minutes talked is susceptible to change, hence the variable n represents it.
1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.
Answer:
Yoyo
Step-by-step explanation:
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N
please help look at picture
Answer:
15 cm
Step-by-step explanation:
Answer:
its C 30cm
Step-by-step explanation:
I multiplied 6x5=30
Estimate the quotient 19 4/5 • 4 5/8
Answer:
-0.1692
Step-by-step explanation:
use your cakculator