We are given
initial population is 5891
so, [tex]P_i=5891[/tex]
Population after 50 years is 5178
so, [tex]P_f=5178[/tex]
now, we can find percent error
so, we can use formula
[tex]error=\frac{P_i-P_f}{P_i}\times 100[/tex]
now, we can plug values
[tex]error=\frac{5891-5178}{5891}\times 100[/tex]
now, we can simplify it
so, we get
The percent decrease is 12.1032%.........Answer
First: work out the difference (decrease) between the two numbers you are comparing by the formula
Decrease = Original Number - New Number
In your case,
[tex]\text{Decrease}=5891-5178=713.[/tex]
Second: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
In your case,
[tex]\%\text{Decrease}=\dfrac{713}{5891}\cdot 100\%=12.1\%.[/tex]
Answer: The percent decrease is approximately 12.1%.
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdraws, how much money is in javier's account after three months?
Javier's bank balance after 3 months would be $182.50
Using the parameters given for our Calculation;
Bank balance = 305monthly charge = 7.50The bank charge for the three month period ;
7.50 * 3 = $22.50Balance after charges ;
Bank balance - bank chargeNow we have ;
305 - 22.50 = $182.50Learn more on equations : https://brainly.com/question/2972832
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Match the numbers to the correct number sentence 1. seven thousand, twenty-eight 1 7,828 2. seven thousand, two hundred eight 9,099 3. seven thousand, two hundred eighty-eight 9,900 4. seven thousand, eight hundred twenty-eight 3 7,288 5. seven thousand, eighty-eight 2,577 6. two thousand, five hundred seventy 5 7,088 7. two thousand, five hundred seven 2 7,208 8. two thousand, five hundred seventy-seven 2,570 9. two thousand, fifty-seven 9,999 10. two thousand, seventy-seven 9,090 11. nine thousand, nine 9,009 12. nine thousand, nine hundred 7,028 13. nine thousand, ninety 2,057 14. nine thousand, ninety-nine 2,077 15. nine thousand, nine hundred ninety-nine 2,507 NEXT QUESTION ASK FOR HELP
The question requires matching verbal descriptions of numbers with their corresponding numeric representations using decimal notation. The place value of each digit is used to determine the correct numeric form of the verbal description.
Explanation:When matching the verbal descriptions to the correct number sentences, you will use the value of each place within a number to write it in decimal notation. For example, in the number 1837, the digit 7 is in the ones place (10⁰ = 1), the digit 3 is in the tens place (10¹ = 10), the digit 8 is in the hundreds place (10² = 100), and the digit 1 is in the thousands place (10³ = 1000). This helps us correctly identify the number sentences.
Seven thousand, twenty-eight: 7,028Seven thousand, two hundred eight: 7,208Seven thousand, two hundred eighty-eight: 7,288Seven thousand, eight hundred twenty-eight: 7,828Seven thousand, eighty-eight: 7,088Two thousand, five hundred seventy: 2,570Two thousand, five hundred seven: 2,507Two thousand, five hundred seventy-seven: 2,577Two thousand, fifty-seven: 2,057Two thousand, seventy-seven: 2,077Nine thousand, nine: 9,009Nine thousand, nine hundred: 9,900Nine thousand, ninety: 9,090Nine thousand, ninety-nine: 9,099Nine thousand, nine hundred ninety-nine: 9,999
A retailer purchased 117 units for a total of$ 1,250 and sold them for $1,601 what was his profit per unit?
Number of units purchased = 117
Amount paid to purchase 117 units = $ 1250
Selling price of 117 units = $ 1601
Here, let us assume that all the units were sold at the same price.
So, profit on 117 units = [tex]1601-1250= 351[/tex]
Now, profit per unit will be,
[tex]\frac{351}{117} =3[/tex]
Hence, the profit earned per unit is $3.
A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length of the wood.
3.24m
the longest piece will be associated with 8 parts of the ratio.
divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio
[tex]\frac{144}{8}[/tex] = 18 cm ← 1 part
6 parts = 6 × 18 = 108 cm
4 parts = 4 × 18 = 72 cm
length = 144 + 108 + 72 = 324 cm = 3.24m
Answer: 324 cm
Step-by-step explanation:
6 : 8 : 4
x18 x18 x18
108 144 72
108 + 144 + 72 = 324
A problem states: “there are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?”
Which expression represents the number of parents?
A) c•9
B) c-9
C) c+9
D) 9-c
Answer: c - 9
Step-by-step explanation: i did the quiz and this is the right answer
A function is shown.
f(x)=x2+2x−1
Which graph represents the function?
The fourth graph represents the function.
We have to rewrite the given function into the standard form of a parabola.
What is a parabola?A parabola is a U-shaped plane curve that is symmetrical about its vertex.
What is the standard form of a parabola?The standard form of a parabola is given by:
y = (x-h)²+k
Where (h,k) is the vertex of the parabola.
The given function is rewritten in its standard form:f(x) = x²+2x-1
We can rewrite this as:
f(x) = x²+2x+1-2
f(x) =( x+1)²-2
By observing the function in standard form, we can see that the vertex of the parabola is (-1,-2).Now compare this with the given graphs. The only graph that has its vertex at (-1,-2) is the fourth graph.
We have found the graph that represents the function f(x) = x²+2x-1 to be the fourth graph.
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Refer to the figure below. If m<60 degrees l, find the measure of the other angles. Show your work(or explain) to receive full credit.
Answer: m<2=
Answer: m<3=
Answer: m<4=
what expression can be used to find 38 percent of 22
Answer:
use the butterfly method
Step-by-step explanation:
How to find the coordinates of all points on the curve 2x^3 which the tangent line has slope 6?
Answer:
(1,2) (-1,-2)
Step-by-step explanation:
Given the equation of curve as y= 2x³ and slope of tangent line as 6 then
Find dy/dx
[tex]\frac{d}{dx} (y)=\frac{d}{dx}(2x^3)[/tex]
Apply the power rule
[tex]\frac{d}{dx} (x^n)=nx^{n-1}[/tex]
where n=constant
Hence, our equation will be;
[tex]\frac{dy}{dx} =2*3x^{3-1} \\\\\\\frac{dy}{dx} =6x^{2}[/tex]
But you know that dy/dx=slope=6
6x²=6--------------------divide both sides by 6
6x²/6=6/6
x²=1
x=√1=±1
x=1 and -1
Remember y=2x³
Substitute value of x to get value of y
y=2x³
y=2×1³
y=2×1=2
y=2
For x=-1, find y coordinate
y=2×-1³=2×-1=-2
coordinate will be (-1,-2)
Coordinates of the points will be (1,2) ,(-1,-2)
Tobeg says the equation 3x + 2y= 270 and y=4/5x + 20 intersect at the point (50,60) is this true how do you know
ANSWER
Yes it is very true
EXPLANATION
If the two equations intersect at [tex](50,60)[/tex] then this point must satisfy the two equations.
[tex]3x+2y=270---(1)[/tex]
We substitute [tex](50,60)[/tex] in to erquation (1)
[tex]3(50)+2(60)=270[/tex]
[tex]150+120=270[/tex]
[tex]270=270[/tex]
[tex]y=\frac{4}{5}x+20 ---(2)[/tex]
We now substitute [tex](50,60)[/tex] in to erquation (2) also
[tex]60=\frac{4}{5}(50)+20[/tex]
[tex]60=40+20[/tex]
[tex]60=60[/tex]
Since the point satisfy all the two equations, it is true that they intersect at [tex](60,50)[/tex]
The temperature at 6 pm was 0f. At 10 pm the temperature was -11.2f. Write an expression that you can use to find the average change in temperature per hour during that time. Then evaluate the expression.
Answer:
Average change in temperature is - 2.8 Fahrenheit per hour.
Step-by-step explanation:
Average change in temperature is the change in temperature divided by the time taken for the change.
Change in temperature = (-11.2) F- 0 F
= -11.2 F
Time taken for the change in temperature = 10 pm - 6 pm
= 4 hours
Average change in temperature = Change in temperature / time taken for the change
= [tex]\frac{-11.2}{4}[/tex]
= - 2.8 Fahrenheit per hour
Final answer:
The average change in temperature per hour from 6 pm to 10 pm is calculated by dividing the total change in temperature by the number of hours. The result is a drop of -2.8°F per hour.
Explanation:
To find the average change in temperature per hour between 6 pm and 10 pm, you can use the following expression:
(Final Temperature - Initial Temperature) / Number of Hours = Average Change per Hour
Applying the given temperatures:
(-11.2°F - 0°F) / (10 pm - 6 pm) = Average Change per Hour
Since 10 pm is 4 hours after 6 pm, the expression simplifies to:
(-11.2°F - 0°F) / 4 hours = Average Change per Hour
Which evaluates to:
(-11.2°F / 4) = -2.8°F per hour
So the temperature dropped on average by -2.8°F each hour between 6 pm and 10 pm.
Please solve
-1/3x > 5
A) x < -15
B) x > -15
C) x > -5/3
D) x<-5/3
Step 1. Simplify 1/3x to x/3
-x/3 > 5
Step 2. Multiply both sides by 3
-x > 5 * 3
Step 3. Simplify 5 * 3 to 15
-x > 15
Step 4. Multiply both sides by -1
x < -15
Your answer is A.
what is the y-intercept of 6x+ 12y= 60?
A. 5
B. 10
C .60
What is the slope of the line that contains the points (1, −1) and (−2, 8)?
A. −3
B. 7 over 3 negative
C. 1 over 3 negative
Problem 1
Plug in x = 0 and solve for y to get the y intercept
6x+12y = 60
6(0)+12y = 60
12y = 60
12y/12 = 60/12 ... divide both sides by 12
y = 5
Answer: A) 5
======================================
Problem 2
Use the slope formula.
The two points are (x,1, y1) = (1, -1) and (x2, y2) = (-2, 8)
m = (y2-y1)/(x2-x1)
m = (8-(-1))/(-2-1)
m = (8+1)/(-2-1)
m = 9/(-3)
m = -3
Answer: A) -3
A sidewalk is built 12 bricks wide by laying each brick side by side.How many inches wide is the sidewalk if each brick meaaures 3 3/8 inches wide?
A sidewalk is built 12 bricks wide by laying each brick side by side.
The size of each brick measures [tex]3\frac{3}{8}[/tex]
Convert the mixed fraction into improper fraction
[tex]3\frac{3}{8}= \frac{27}{8}[/tex]
The width of each brick is [tex]\frac{27}{8}[/tex]
To built side walk, 12 bricks are used
To find the width of side walk , we multiply the number of bricks with the width of each brick
[tex]12 * \frac{27}{8}[/tex]
We can cancel out 12 and 8
[tex]3 * \frac{27}{2}[/tex]
[tex]\frac{81}{2}[/tex]
[tex]40\frac{1}{2}[/tex] inches
Solve -8.3÷0.25=
-3.31
3.31
-2.075
-33.2
The formula for the volume of a cube is v(s)= s^3 where s is the side length of the cube. What is the domain and range of this function?
Answer: D
s > 0, V(s) > 0
Step-by-step explanation: edge
Find the asymptotes of the function. Select all that apply.
An asymptote is a vertical horizontal or oblique line to which the graph of a function progressively approaches without ever touching it.
To answer this question we observe the graph. All the values of x and y must be identified for which the graph of the function tends to infinity.
It is observed that these values are:
x = -1
x = 3
y = 0
The first two corresponds to the equations of a vertical line. The third corresponds to horizontal line, the axis of x. It can be seen that although the graph of the function is very close to these values, it never "touches" them
The asymptotes to the considered function are given as:
Option 1: [tex]x= -1[/tex] (vertical asymptote)Option 3: [tex]x= 3[/tex] (vertical asymptote)Option 5: [tex]y =0[/tex] (horizontal asymptote)When do we get vertical asymptote for a function?Suppose that we have the function f(x) such that it is continuous for all input values < a or > a and have got the values of f(x) going to infinity or -ve infinity (from either side of [tex]x = a[/tex]) as x goes near a , and being not defined at [tex]x = a[/tex], then at that point, there can be constructed a vertical line [tex]x = a[/tex] and it will be called as vertical asymptote for f(x) at [tex]x = a[/tex]
When do we get horizontal asymptote for a function?The line [tex]y = a[/tex] is horizontal asymptote if the function f(x) tends to 'a' from upside of that line y = a, or from downside of that line.
For the given case, the line y = 0 is one of its horizontal asymptote.
If we make two straight lines at x = -1, and x = 3, we get two lines to which the graph of the function is going arbitrarily close, and going to +ve or -ve infinity.
Thus, they are its vertical asymptotes.
Therefore, the asymptotes to the considered function are given as:
Option 1: [tex]x= -1[/tex] (vertical asymptote)Option 3: [tex]x= 3[/tex] (vertical asymptote)Option 5: [tex]y =0[/tex] (horizontal asymptote)Learn more about asymptotes here:
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What is the value of x in the product of powers 55 · 5x = 52 ?
Answer:
-3
Step-by-step explanation:
Which symbol makes the statement true? Write >,<, or =. -3/4 -11/12
Evaluate u + xy , for u = 2, x = 9, and y = 6. 17 56 24 66
Answer:
ans is 56
Step-by-step explanation:
for u = 2, x = 9, and y = 6
substituting into u + xy = 2 + 9*6 = 2 + 54 = 56
Answer:
56
Step-by-step explanation:
2+9*6
=2+54
=56
Given the following diagram, find the missing measure.
Given:
m 2 = 30°, m P =
30
60
90
120
Answer:
Measure of ∠P = 60°
Step-by-step explanation:
Consider triangle PMO.
Since PM is perpendicular to MO , hence m∠PMO = 90°
Also given that m∠MOP = m∠2 = 30°
And since sum of three angles of a triangle is 180°
⇒ m∠PMO + m∠MOP + m∠MPO = 180°
⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°
Hence m∠MPO that is m∠P is 60°
Answer:
m 2 = 30°, m P = 60
The correct choice is 60
Find the perimeter of the polygon with the vertices q(−3, 2), r(1, 2), s(1,−2), and t(−3,−2).
The solution is in the attached picture.
*******************The perimeter of a shape is the sum of all visible side lengths of the shape. The perimeter of polygon qrst is 16 units.
Given that:
[tex]q = (-3,2)[/tex]
[tex]r = (1,2)[/tex]
[tex]s = (1,-2)[/tex]
[tex]t = (-3,-2)[/tex]
First, we calculate the distance between the vertices using distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So, we have:
[tex]qr = \sqrt{(-3- 1)^2 + (2 - 2)^2} = \sqrt{16} = 4[/tex]
[tex]rs = \sqrt{(1- 1)^2 + (2 - -2)^2} = \sqrt{16} = 4[/tex]
[tex]st = \sqrt{(1--3)^2 + (-2 - -2)^2} = \sqrt{16} = 4[/tex]
[tex]tq = \sqrt{(-3--3)^2 + (-2 -2)^2} = \sqrt{16} = 4[/tex]
The perimeter (P) is the sum of all sides:
[tex]P = qr + rs + st + tq[/tex]
[tex]P = 4 + 4 + 4 + 4[/tex]
[tex]P = 16[/tex]
Hence, the perimeter is 16 units.
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What is the mean of 3.25,3.25,3.66,3.83,4.57,4.52,4.74,4.69,4.44
Pathway a is 9 075 steps and you must divide this number by 8 to find the total km.
Catalina multiplied 842 and 3 and got 3,326. How can see check to see if her answer is reasonable?
divide 3,326 by 3 and if she gets 842 it should be reasonable
Answer:
No her answer is not reasonable. If you round 842 to 850 and multiplied that by 3 you would get 2,550.
Step-by-step explanation:
What is the answer to this question convert 330 grams to ounces
10.5821886 ounces is your answer
What is the solution to this equation 2x-x+9+3x-2=16
Answer:
9/4
Step-by-step explanation:
a pex
There were 13,501 visitors to a museum in june.What is this number rounded to nearest ten thousand ?Explain how
13,501 rounded to the nearest ten thousand is 14,000. This is because if you look at the 3, the number next to it is 5, causing it to round up. Numbers 0-4 are rounded down, and numbers 5-9 are rounded up.
Answer:
10,000
Step-by-step explanation:
When we round a number to the nearest ten thousand we check the digit at the thousand place,
If the digit ≥ 5,
The number is rounded to next ten thousand,
If the digit < 5,
The number is rounded to previous ten thousand.
Here, the given number,
13,501,
Digit at thousand place = 3 ( < 5 )
Thus, 13,501 ≈ 10,000 ( nearest ten thousand )
-7x − 3x + 2 = −8x – 8 .
SHOW WORK!!!
First, combine like terms
-7x - 3x = -10x
-10x + 2 = -8x - 8
Isolate the x. Add 8x to both sides, and subtract 2 from both sides
-10x (+8x) + 2 (-2) = -8x (+8x) - 8 (-2)
-10x + 8x = -8 - 2
Simplify. Combine like terms
-2x = -10
Isolate the x. Divide 2 from both sides
(-2x)/-2 = (-10)/-2
x = -10/-2
x = 5
5 is your answer for x
---------------------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary, Senpai
The solution of expression is,
x = 5
We have to given that,
Expression to solve,
-7x - 3x + 2 = - 8x - 8
Now, We can solve as,
-7x - 3x + 2 = - 8x - 8
First, combine like terms
-7x - 3x = -10x
-10x + 2 = -8x - 8
Add 8x to both sides, and subtract 2 from both sides
-10x (+8x) + 2 (-2) = -8x (+8x) - 8 (-2)
-10x + 8x = -8 - 2
Simplify. Combine like terms
-2x = -10
Divide 2 from both sides
(-2x)/-2 = (-10)/-2
x = -10/-2
x = 5
So, The solution of expression is,
x = 5
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A pair of shoes are on sale for 5/12 of the original price if the original price was $120 what is the sale price
$50
the sale price is [tex]\frac{5}{12}[/tex] × $120
[tex]\frac{5(120)}{12}[/tex] = $50
Answer:50
Step-by-step explanation:
you would do number of devisions (denominator of fraction) divided by the number of the original price then multiply it by the numer of the devision (numerator of fraction)
120/12=10*5=50