what is the dilation/scale factor?
Scale factor = (image)/(preimage)
[tex]AC=8\\\\A'C'=12[/tex]
So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]
A wildlife refuge has 200 birds when it is first established. It is so
successful that the number of birds increases by 25% every year.
Write a function to model the situation.
Find the number of birds present after 7 years.
Answer:
[tex](a)\ f(x) =200(1.25)^x[/tex]
(b) 954 birds after 7 years
Step-by-step explanation:
Given
[tex]a = 200[/tex] --- initial
[tex]r =25\%[/tex] --- rate
Solving (a): The function.
This is represented as:
[tex]f(x) =a(1+r)^x[/tex]
So, we have:
[tex]f(x) =200(1+25\%)^x[/tex]
Express percentage as decimal
[tex]f(x) =200(1+0.25)^x[/tex]
[tex]f(x) =200(1.25)^x[/tex]
Solving (b): Birds after 7 years
This implies that we calculate f(7)
[tex]f(7) =200(1.25)^7[/tex]
[tex]f(7) =953.67[/tex]
[tex]f(7) =954[/tex] --- approximated
The point (-5,3) lies on the graph of f(x). Which of the following points lies on
f-1(x)?
Answer:
(3, -5).
Step-by-step explanation:
By the definition of inverses:
[tex]\text{If $f(a) = b$, then $f^{-1}(b)=a$}[/tex]
In other words, the inverse of a function returns the input when given the output of the original function.
We know that the point (-5, 3) lies on the graph of f(x). In other words:
[tex]f(-5)=3[/tex]
Then by definition:
[tex]f^{-1}(3)=-5[/tex]
So, the point (3, -5) must lie on the graph of f⁻¹(x).
The table below shows elevation of different locations in the world. List the elevations in order from greatest to least.
Answer:
C 230, 92, 75, -52, -92
Step-by-step explanation:
from greatest to least.
please tell your teacher it would correctly be called "from highest to lowest".
but he/she was only focusing on numbers. understandably. so, from the greatest value to the least value.
positive numbers get smaller in their absolute values, when we go to the smaller side, but negative numbers get "bigger" in their absolute values, when we go to the smaller side.
-2 is smaller or lower than -1
and so on.
that is the reason for the correct answer.
Please help!! I'm super confused
Answer:
Step-by-step explanation:
The top part (is a square)
Area = s^2
Area = 10 * 10
Area = 100
The bottom part is a trapezoid
h = 4
b1= 6
b2 = 10
Area = (b1 + b2) * h / 2
Area = (10 + 6 ) * 4/2
Area = 16 * 4 /2
Area = 32
Total Area = 132
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
This is a horizontal line
The y value does not change
It is of the form y=
y = -7
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = k
where k is the y-coordinate of every point on the line.
We see that every point on this line has y-coordinate -7, so the equation is
y = -7
A grocery store sells apple and oranges by the pound the cost of the apples is $1.30 the cost of the oranges is $1.84 how much more is the cost for 1 and 1 half pound of oranges than the cost for 1 and 1 half pounds of apples?
Answer:
1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples
Step-by-step explanation:
1.5 pounds of apples = 1.5 × $1.30 = $1.95
1.5 pounds oforanges = 1.5 × $1.84 = $2.76
$2.76 - $1.95 = $0.81
What is the approximate value of sin C?
f(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x² - x + 5
g(x) = 2x - 3
Step 2: Find f(x) - g(x)
Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)[Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3[Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3[Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8choosing a 4-letter password using only 5 letters that may each be used more than once.
Find the perimeter of the polygon.
The cost of 6 pounds
of coffee is $3.
Answer:
ok 2 pound per 1 doller and 1 pund per0.50 cent
Step-by-step explanation:
Helppppppp please ASAP
Answer:
YW = 10 units
Step-by-step explanation:
∠Y ≅ ∠X ⇒ WX ≅ WY ⇒ YW = 10 units
!!NO LINKS!!!
PLEASE HELP!!!
Answer:
397
Step by-step explanation:
97+100+100+100
Ram's salary is 20% more than Shyam's salary.By what percentage is shyam's salary less than that of Ram's
Which of the following are remote interior angles of angle 5? Check all that apply
Answer:
[tex]\angle 1,\,\angle 2[/tex]
Step-by-step explanation:
"Interior" --> inside the triangle
"Remote" --> away from angle 5
Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?
Answer: A
Step-by-step explanation:
x/32 = 18/13
Help down below pleaseee. I'll rlly give brainliest whoever gives me the best answer if it allows me too since I need at least 2 ppl answering.
Answer:14 dollars, 2 pounds
Step-by-step explanation:
for they first one your just rounding wich is kinda easy you just round it up to the nearest dollar wich is 1 plus 13= 14 dollars.
for the second one it would be better to specify, but since we already did rounding on the first one this might be about the same topic, meaning it might be 2 pounds. But if not 2 and 1/4 of a pound.
Answer: the answer is in simple rounding-terms, 13.55 dollars rounded to dollars is just rounding off the cents, specifically the dimes or quarters. 55 cent can also be a half-dollar, but that is not important, 0.5 can be rounded to 1 in this case, so for question 14 you would add one to 13 dollars since 0.50 cents got rounded to 1 dollar and you get 14 dollars as your answer for the first question. for the next question American cheese i would assume is the same as the cheese referenced by Mr. Marsh, so the answer would be 2.25 pounds of cheese for number 15
Step-by-step explanation: my answer.
the answer is 14, 2.25
This Measure of Center gives you the average number.
Mean
Median
Mode
round to the nearest tenth what is the distance between -3,3 and 1,2
Answer:
i dont know im sorry i wish you the best bro
Step-by-step explanation:
Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?
Answer:
that is behavior that coefficient
Which of the following results from taking the square root of a negative
number?
A. Imaginary number
B. Negative number
C. Positive number
D. Irrational number
Can someone pls help me solve this?
Answer:
Step-by-step explanation:
The formula for finding area is [tex]\pi[/tex]r2, and since half of diameter is radius, we'll need to divide the diameters given by 2. So the formula will be A = π (d/2)2.
Answer:
13π
Step-by-step explanation:
A(Circle) = πr²
r = d/2
A(Large) = π(7)² = 49π
A(Medium) = π(6)² = 36π
Therefore, the area of a large pizza is 13π greater than the area of a medium pizza.
Pls help! (don't give wrong answer pls)
Decide whether the sequence is Arithmetic, Geometric or Neither.
4, 9, 16, 25, ...
Check arithmetic
t4-t3 t3-t2
25-16 16-9
=9 =7
sequence is not arithmetic bcoz t4-t3 is unequal to t4-t3
check geometric
t4÷t3 t3÷t2
25÷16 16÷9
=1.6 1.7
sequence is not geometric bcoz t4÷t3 is unequal to t3÷t2
neither
Y is inversely proportional to the square of x. If Y = 9 when x = 2, then what is y, when x is 10?
Answer:
y = 0.36
Step-by-step explanation:
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 9 when x = 2 , then
9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
36 = k
y = [tex]\frac{36}{x^2}[/tex] ← equation of variation
When x = 10 , then
y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36
What is 5-0.894? halp TwT
Answer:
4.106
Step-by-step explanation:
i'm not trying to sound condescending, but i feel like you could have done this with a calculator instead of asking brainly
What additional piece of information is needed to prove the triangles congruent by ASA?
S
T
J
B
D
P
A. ZT ZD
B. ZJ - ZS
C
JT – SD
D. TB-DP
Answer:
option B
Step-by-step explanation:
ASA congruent triangles shall have one more angle being equal
Which ordered pair (x,y) is the solution to the given system of linear equation?
Answer:
(x, y) = (-1, 4)
Step-by-step explanation:
3x + 3y = -3 (1)
-2x + y = 2 (2)
From (2)
y = 2 + 2x
Substitute y = 2 + 2x into (1)
3x + 3y = -3 (1)
3x + 3(2 + 2x) = -3
3x + 6 + 6x = -3
9x + 6 = -3
9x = -3 - 6
9x = -9
x = -9/9
x = -1
Substitute x = -1 into (2)
-2x + y = 2 (2)
-2(-1) + y = 2
-2 + y = 2
y = 2 + 2
y = 4
(x, y) = (-1, 4)
Answer:
(-1,0)
Step-by-step explanation:
Translate this sentence into an equation:
44 is the sum of 24 and Donnie's height
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1400.
What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour
Answer:
$115/hr The 10 hr mechanic
$50/hr The 5hr mechanic
Step-by-step explanation:
let the 10 hr mechanic charge x
then the 5 hr mechanic charges 165 - x
------------------------------
10x + 5(165 - x) = 1400
10x + 825 - 5x = 1400
5x = 575
x = 115 The 10 hr mechanic
165 - x = 50 The 5hr mechanic