Use the estimates from (c) and (d) to calculate the relative change in the average household
income from 2002 to 2012. Round to the nearest one percent. Indicate if the change is an
increase or decrease.
Answer:
it decreased by 5.55% change of 6%
The relative change is -6% Rounding to the nearest percent.
What are average?The average can be calculated by dividing the sum of observations by the number of observations.
Average = Sum of observations/the number of observations
The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.
The absolute change is the final value minus the initial value;
Absolute change = 51000 - 54000 = -3000
Now, calculating the relative change;
Relative = -3000/54000
Relative = - 0.0555
Since the relative change is negative, this change indicates a decrease.
Therefore, the relative change is -6% Rounding to the nearest percent.
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What dimensions would you need to measure the volume of the following prism?
The dimensions needed to measure the volume of the prism are length of the triangle, base of the triangle and height of the prism.
What is the volume of a prism?A prism is a three-dimensional object. A triangular prism is a made up of a triangular base, a translated copy, and 3 faces joining corresponding sides
Volume of the prism = area of the right triangle x height
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Answer:
base of the triangle, height of the triangle, height of the prism.
Step-by-step explanation:
Which represents the value of c?
Oc=
(3) sin(409)
sin (45)
C =
(3) sin(45)
sin (409)
C =
sin(409)
(3) sin(45°)
sin(45)
(3) sin(409)
Answer:
c = 3.3 cm
Step-by-step explanation:
A = 180 - (95 + 45) = 40° (sum of triangle)
a = 3.0 cm
C = 45°
c = ?
Applying the Law of Sines, we have:
[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]
Cross multiply
[tex] Sin(40)*c = Sin(45)*3 [/tex]
Divide both sides by sin(40)
[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]
c = 3.3001886 ≈ 3.3 cm (nearest tenth)
i will give u brain list! :)
The measurements of two sides of a triangle are 5 cm and 16 cm. What could be a measurement of the third side of the triangle?
Answer:
The third side would be greater than 11 or less than 21
Calculate the amount of money you'll have at the end of the indicated time period, assuming that you earn simple interest. You deposit $3400 in an account with an annual interest of 4.5 % for 20years. The amount of money you'll have at the end of the years is
Answer:
The amount of money you'll have at the end of the years is 6460 dollars
Step-by-step explanation:
The total principal sum of money deposited = [tex]3400[/tex] dollars
The annual rate of interest is [tex]4.5[/tex] %
The time period for which the amount is invested [tex]= 20[/tex] years
As we know
[tex]A = P (1 + rt)[/tex]
where A is the amount after 20 years
P is the principal sum of money
r is the rate of interest and
t is time period in years
Substituting the given values in above equation, we get -
[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars
Find x.
Please help! Oh
Answer:
8.5
Step-by-step explanation:
18=2x+1
-1 -1
_______
17=2x
_ _
2 2
8.5=x
Laptop computers are measured according to the diagonals of their screens. A 16-inch laptop has a screen that is 7 inches tall. How wide is the screen?
Find the value of x.
i will give you brainliest whoever answers correct first!!
Answer:
IJ = 12.8
Step-by-step explanation:
Since you are missing 1 side, set up a proportion 8 is to 3.2 as 32 is to x, so
[tex]\frac{8}{3.2} =\frac{32}{x}[/tex] so solve for x by cross multiplying 8x = 102.4, so x = 12.8
round off 99859.99946415 into (a)3 decimal place. (b)2 decimal place. (c)5 decimal place. (d)Tenth. (e) hundreds. (f)2 significant figure. (g) 11 significant figure. please help me
Answer:
Step-by-step explanation:
Please mark as brainliest
DEFG maps out Carrie’s dog walking route. If she does one complete loop, how far does she walk with her dogs?
Answer:
Step-by-step explanation:
Actually it’s 4 square root 17
ASAP pls help
A chef has 5 blocks of butter. Each block weighs 1 pound. She cuts each block into fourths. How many 1/4 -pound pieces of butter does the chef have?
Answer:
20, 1/4 pound pieces of butter
Step-by-step explanation:
1/4*4= 1 pound
so,
4*5=20
:)
What is the solution to the system of equations?
3x – 9y = -13
x – 3y = -7
(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?
PLEASE PLEASE PLEASE HELPPP
Answer:
a. it has no solution
b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.
Step-by-step explanation:
3x - 9y = -13.............. eqn 1
x - 3y = -7................... eqn 2
from eqn 2
x - 3y = -7, substitute by making 'x' the subject
x = -7 + 3y.................. eqn 3
put eqn 3 into eqn 1
3x - 9y = -13
3( -7 + 3y) - 9y = -13
-21 + 9y - 9y = -13
9y - 9y = -13 + 21
0 = 8, which is not possible.
Can you please solve these systems of equations using elimination for x and y?
1. 8x+2y=46
7x+3y=47
2. 4x+6y=62
7x+3y=47
3. 4x+6y=62
2x+6y=76
4. 8x+1y=43
2x+4y=98
Answer:
(4.4, 5.4), (3.2, 8.3), (-7, 15), (23 4/15, 2 7/15)Step-by-step explanation:
1.
Multiply the first equation by 3/2:
3/2×8x + 3/2×2y = 3/2×46 12x + 3y = 69Subtract the second equation:
12x - 7x = 69 - 475x = 22x = 4.4Find y:
4*4.4 + y = 23y = 23 - 17.6y = 5.42.
Double the second equation and subtract the first one:
14x - 4x = 94 - 6210x = 32x = 3.2Find y:
4*3.2 + 6y = 626y = 62 - 12.86y = 49.8y = 8.33.
Subtract the second equation from the first one:
4x - 2x = 62 - 762x = -14x = -7Find y:
4(-7) + 6y = 626y = 62 + 286y = 90y = 154.
Multiply the second equation by 4 and subtract the first one:
16y - y = 4(98) - 4315y = 349y = 349/15y = 23 4/15Find x:
8x + 23 4/15 = 438x = 19 11/15x = 2 7/15Answer:
1. [tex]x\x=\frac{22}{5}=4.5, y=\frac{27}{5}=5.5[/tex]
2. [tex]x=\frac{16}{5}=3.2,y=\frac{41}{5}=8.3[/tex]
3. x=−7,y=15.
4. [tex]x=\frac{37}{15}=2\frac{7}{15},y=\frac{349}{15}=23\frac{4}{15}[/tex]
Step-by-step explanation:
I hope this helps.
CAN SOMEONE TELL ME THE AREA PLEASE
Answer:
1.3 m²
Step-by-step explanation:
The shape is a trapezoid.
Area of a trapezoid = ½(a + b)*h
Where, a = 0.8 m
b = 1.8 m
h = height of the trapezoid which is not given.
Therefore, find h using trigonometric function with 45° as reference angle:
Hypotenuse = 1.4 m
Opposite = h
Apply SOH, which is:
Sin 45 = Opp/Hyp
Sin 45 = h/1.4
1.4*Sin 45 = h
0.989949493 = h
h ≈ 1.0 m
✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²
-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????
Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
I need help pls. I'm not sure how to solve it
Answer:
0 is an integer and a whole number
Viviana earns $600 per week and spends 20% of those weekly earnings on her
friends. How much money does Viviana spend on her friends each week?
Answer:
none coz I robber her
Step-by-step explanation:
the bisch
Answer: Viviana spends $120 on her friends
Step-by-step explanation:
20% of $600 = 120
Expand the polynomial and simplify: 12a^2-4(1-2a)^2+8
Answer:
-4a² + 16a + 4Step-by-step explanation:
Simplify:
12a² - 4(1 - 2a)² + 8 = ⇒ expand12a² - 4( 1 - 4a + 4a²) + 8 = ⇒ open parenthesis12a² - 4 + 16a - 16a² + 8 = ⇒ collect like terms(12- 16)a² + 16a + (8 - 4) = ⇒ simplify-4a² + 16a + 4 ⇒ answerAnswer:
-4a² + 16a + 4
Step-by-step explanation:
Have a good day
Determine the multiplier in each situation below.
a. A 44% increase
b. A 93% decrease
Answer:
Step-by-step explanation:
%s can drive a person crazy.
44% increase
Cost = 100% * x + 44%x
Cost = x ( 100 / 100 + 44/100)
Cost = x (1 + 0.44)
Cost = 1.44 x
93% decrease
Cost = 100%x - 93%x
Cost = x * (100/100 - 93/100)
Cost = x * (1 - 0.93
Cost = 0.07 x
Answer:
1.44 and 0.07
Step-by-step explanation:
(a)
A 44% increase of the original amount (100%) is
100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier
(b)
A 93% decrease of the original amount (100%) is
100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier
Differentiate f() = ( − cos()) sin()
Answer:
1
Step-by-step explanation:
f'(x) = -d(cos(x))/dx*sin(x) + d(sin(x))/dx * cos(x)
f'(x) = sin(x) * sin(x) + cos(x)*cos(x)
f'(x) = 1
I haven't got theta to comply with your request. The best I can do us use the word theta. x has exactly the same meaning, and the answer would be 1.
which equation is equivalent to 2/3 x -5 / 6 equals -5 / 12 x + 1 / 4
Answer:
13x=13
Step-by-step explanation:
...............
A car travels 17 miles on one gallon of gas.
If y is gallons and x is miles, what is the range of values of y when x ranges from 170 to 340?
Answer:
747464
Step-by-step explanation:
3737363746474747
URGENT PLZ HELP
for what values of X and Y is quadrilateral ABCD a parallelogram
Answer:
x = 9
y = 3
Step-by-step explanation:
Since this is a quadrilateral the opposite side lengths must be equal
5x - 20 = 7x - 38
38 - 20 = 7x - 5x
18 = 2x divide both sides by 2
9 = x same goes for y
6x - 31 = 4y + 11 we already know x = 9 so
6×9 - 31 = 4y + 11
54 - 31 - 11 = 4y
12 = 4y divide both sides by 4
3 = y
PLEASEEEE HELPPPPPPPPPP
Answer:
b=5
Step-by-step explanation:
8b+12 = 52
8b = 52-12
8b = 40
Therefore, b= 40/8 = 5!
Hope it helps! :)
Mrs. Hicks can grade 25 quick checks in 20 minutes. Ms. Place can grade 36 quick checks in 30 minutes. Which teacher is working at a faster rate? How do you know?
Answer:
Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.
whoever gets this correct first gets brainlest!!
What is the BEST estimate for the measure of angle c?
A) 77
B) 88
C) 99
D) 111
Answer:
88
Step-by-step explanation:
Looks close to a right angle so 88 degrees most likely.
Answer:
b 88
Step-by-step explanation:
Help pls!!ty!!:))):):
Answer:
Step-by-step explanation:
y = 85x+90
3) 85*3+90 (rule)
y= 85*3 = 255 + 90 = 345 (output)
4) 85*4+90 (rule)
y = 85*4= 340 + 90 = 430 (output)