Answer:
f(x) = Ca^x
x = years since 2000.
f(0) = 220000 = Ca^0 = C
f(x) = 220000a^x
f(1) = 220000(1-0.11) = 220000a^1
a = 0.89
f(x) = 220000(0.89)^x
So each year reduces by 89%
Triangle ΔGHI with m∠G = 5°, m∠H = 75° and m∠I = 100°, is reflected across the y-axis to obtain ΔKLM. What is the measure, in degrees, of ∠L?
Answer:
[tex]\angle L = 100^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle G = 5^{\circ}[/tex]
[tex]\angle H = 75^{\circ}[/tex]
[tex]\angle L = 100^{\circ}[/tex]
Required
Determine the measure of L after reflection across x-axis
When a shape is reflected across an axis, only the coordinates of the shapes is affected; the angles remain unaltered.
In other words, the measures of the angle will not change.
Hence:
[tex]\angle L = 100^{\circ}[/tex]
A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c
16:25 simplified (ratio maths)
Answer:
its simplifed as much as it can.
Step-by-step explanation:
Answer:
its already simplified the most but as a decimal its 0.64
Step-by-step explanation:
1.-18(12)
2. -352 + -225
Answer:
1.-204.5 2.-557
Step-by-step explanation:
how many terms are in this expression 5b+26t-72
Answer:
3 terms
Step-by-step explanation:
5b+26t-72
Since none of the terms are like terms, we cannot combine them
There are 3 separate terms, 5b, 26t, 72
A farmer planted corn in a square field. One side of the field measures 31 yards. What is the area of the cornfield?
Answer:
961 yards²
Step-by-step explanation:
A square has all its sides equal
Thus the area of the square is = length ² = 31² = 961
hey! please help on this question i'll give brainliest <333 .
Answer:
C, the third choice
Step-by-step explanation:
Jessica is a custodian at Oracle Arena. She waxes 20 m2 of the floor in 3/5 of an hour. Jessica waxes the floor at a constant rate. At this rate, how many square meters can she wax per hour?
Answer:
33.3m^2
Step-by-step explanation:
If Jessica waxes 20 m^2 of the floor in 3/5 of an hour, then;
20m^2 = 3/5 hr
To get the area that she waxes in an hour
x = 1 hr
Divide both expression
20/x = 3/5
3x = 20 * 5
3x = 100
x =100/3
x = 33.3m^2
Hence she can wax 33.3m^2 in an hour
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2x-4=3^x+1
A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5
Answer: D. x ≈ 2.5
Step-by-step explanation: I circled the intersection in green in this attachment I provided.
As you can see, it's near 2.5 which is correct.
I really hope this is correct. I answered this one with confidence. Good luck on your test btw.
Answer:
D. x ≈ 2.5
Step-by-step explanation:
What is the range of possible sizes for side x in triangle side lengths of 8.0 and 4.0?
Answer:
4<x<12
Step-by-step explanation:
8.0+4.0=12.0
8.0-4.0=4.0 or 4
The rules of triangles is that it must be less than the sum you had when you first added 8.0and 4.0 which was 12
So therefore , 4< x < 12
and I also got it right on khan academy lol
Each wooden cube has a volume of 1/8 cubic foot. In total, how many wooden cubes will fit in the box
Answer:
Number of wooden cubes in the box = 240
Step-by-step explanation:
A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box
Volume of the box = length × width × height
= 5 ft × 3 ft × 2 ft
= 30 ft³
Each wooden cube has a volume of 1/8 cubic foot
how many wooden cubes will fit in the box?
Number of wooden cubes in the box = Volume of the box ÷ volume of the wooden cube
= 30 ft³ ÷ 1/8 ft³
= 30 × 8/1
= 240
Number of wooden cubes in the box = 240
The ple chart shows the favourite sports of a group of students,
For each statement below, decide if it is
True (A), False (B) or Impossible to say (C)
Other
Tennis
a) None of the students chose Netball
10
Football
b) More students opted for Football than Tennis,
Rugby
c) Hall of the students did not choose Rugby
(1)
Answer: the answer would be C
Four friends share 3 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:3/4
Step-by-step explanation:
3 is the amount of bags that need to be divided and four is the number of friends sharing them
Answer:
3 and remainder 1 (I'm sorry I dont know if your doing remainders
Helllllpppp meeeee I neeedddd hellllpppp nowwww pleaseeee
Answer:
C
Step-by-step explanation:
They are all integers so they are rational numbers, they are whole numbers as well except there are negative numbers so they are not all natural.
please someone help me asap !!
Can someone help please?
Answer:
Corresponding Angles Theorem
Step-by-step explanation:
Since, the angles are on the same side of the transversal, one interior angle and exterior angle.
Hence, these are corresponding angles .
2. Consider the box-and-whisker plot shown. Which is different? Find
"both" answer. Please help me on this problem
Answer:
answers to questions 1, 2, and 4 are all the same; 20 - 11 = 9
answer to question 3 is 24 - 1 = 23
Step-by-step explanation:
Answer:
23 and 9
Step-by-step explanation:
Find the difference of the greatest value and the least value of the data.
20-11=9
24-1=23
Mark plans to save 2.50 each week until he saves 75.00.He uses this equation to represent the number of weeks
Answer:
2.5x = 75
Step-by-step explanation:
HELP MEEEEE!
Simplify it- don't like solve it please. And ExPlAiN hOw YoU dId It!
Answer:
216g³
Step-by-step explanation:
[tex](xy)^n=x^ny^n\\(6g)^3=6^3g^3[/tex]
[tex]6^3=216[/tex]
Write the equation of the line.
Answer:
y=2x+4
Step-by-step explanation:
First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)
Slope=4-0/0-(-2)
=4/2
=2
Y-intercept is 4.
Slope-Intercept form: y=mx+b
m is slope & b is y-intercept
y=2x+4
HOPE I helped!
A rectangular garden is 5m longer
than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.
Answer:
The width of the garden is 22.12 m and its length is 27.12 m
Step-by-step explanation:
Equations
Let x = width of the garden
The length is 5 m longer than the wide, thus:
x + 5 = length of the garden
The area of the rectangular garden is
A=x(x+5)=600
Operating:
[tex]x^2+5x-600=0[/tex]
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Where a=1 b=5 c=-600:
[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]
Operating:
[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]
[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]
There are two solutions:
x = 22.12
x = -27.12
The negative solution is not valid because x is the width of the garden, thus
x = 22.12 m
And
y = 22.12 + 5 = 27.12 m
The width of the garden is 22.12 m and its length is 27.12 m
The two large squares below each represent 1 unit
0.26 + 0.6
Answer:
0.26+0.6=0.86
Step-by-step explanation:
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) = -10
02-2)(x+2) = -106-2)
$(-2)(x+ 3) --10-31
o-(x+3) = -10
Answer:
the answer is (x+3)
Step-by-step explanation:
-_-
Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO
Answer:
45448
Step-by-step explanation:
You have 10 coins in your pocket. Five are Susan B. Anthony dollars, two are Kennedy half-dollars, and three are presidential dollars. You randomly
choose a coin In how many ways can choosing not a presidential dollar occur?
Kennedy
half-dollar
208080
SOLO
*1999
Susan B. Anthony
dollar
WE TRUST
O
Presidential
dollar
There are
ways you can choose not a presidential dollar.
Answer:
Im not sure about this one yet
Step-by-step explanation:
but give me a alittle and I'll be bk right away
Not choosing a presidential dollar can occur in 7 ways
Calculating Number of ways for choice
Given : Total 10 coins - 5 susan anthony dollars, 2 kennedy half dollars, 3 presidential dollars
To calculate : Number of ways through which non presidential dollar can be chosen
It can be calculated using Combination Choices
The dollar chosen is out of 7 dollars - 5 susan anthony dollars & 2 kennedy half dollars, ignoring & excluding the presidential dollars
So, number of ways = 7 c 1
= 7 ways
To learn more about Combinations, refer https://brainly.com/question/20211959?referrer=searchResults
7. If 2 planes have the same velocity, do they have the same speed? EXPLAIN
Answer:
Yes.
Step-by-step explanation:
Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.
Which system of inequalities has no solution?
Answer:
i think c
Step-by-step explanation:
Please help, im confused
(4X + 7) X [5(X - 40)]
Answer:
4X + 7) =[5(X - 4)]{vertically opposite angle}
4x+7=5x-20
5x-4x=7+20
x=27
4/8 is closest to which benchmark fraction
Answer:
It is closest to 1/2
Step-by-step explanation:
First you need to see if the fraction can be simplified or not. Thankfully this can, and we get 1/2.