Answer:
dependent variable: circles drawn
independent: time
the independent variable is what you control, which was the time spent. the amount of circles you were able to draw depended on the amount of time you had, so it was the dependent variable.
part 2:
if you drew circles at the same rate
0-0
1-29
2-58
3-87
4-116
hope that helped! lemme know if you need more
What is 2y+5 = 3y+2 ?
2y + 5 = 3y + 2
=> 5 - 2 = 3y - 2y
= 3 = y
Answer:
y = 3
Step-by-step explanation:
2y + 5 = 3y + 2
2y - 3y + 5 = 3y - 3 y + 2 [ subtract both sides by 3y ]
- y + 5 = 0 + 2 [ 3y - 3y = 0 ]
- y + 5 - 5 = 2 - 5 [ subtract by 5 on both sides ]
- y + 0 = - 3 [ -5 + 5 = 0 ]
- y = - 3
y = 3 [ divide by - 1 on both sides ]
Can anyone please help with this question? Would much appreciate it
5/12,3/8,6,14in ascending or
der
The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help
Answer:
8 feet, 256 ft^2
Step-by-step explanation:
The function of the area can be graphically rapresented with a parabola that opens downwards
in this specific case the vertex is the maximum point of the parabola.
(X) Vertex = -64/-8 = 8 feet
(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2
Answer:
Maximum Width = 8 feet.
Maximum area = 256 ft^2.
Step-by-step explanation:
Part A.
A = -4w^2 + 64w
Finding the derivative:
dA/dw = -8w + 64 = 0 for maxm/minm, so
-8w = -64
w = 8
The second derivative is -8 so w = 8 gives a maximum.
Part B.
The maximum area = -4(8)^2 + 64*8
= -256 + 512
= 256 ft^2.
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
The function P(t) = 4000(1.2) represents
the population of a small island
a. Does the function represent exponential
growth or decay?
b. what is the yearly percentage change in
population?
c. estimate how many people will be living on the island after 5 years.
Given:
Consider the given function is:
[tex]P(t)=4000(1.2)^t[/tex]
To find:
a. The type of exponential function (growth or decay).
b. Percentage change in population.
c. Population after 5 years.
Solution:
a. The general exponential function is:
[tex]P(t)=P_0(1+r)^t[/tex] ...(i)
Where, [tex]P_0[/tex] is the initial population and r is the rate of change in decimal.
If r<0, then the function represents exponential decay and if r>0, then the function represents exponential growth.
We have,
[tex]P(t)=4000(1.2)^t[/tex]
It can be written as:
[tex]P(t)=4000(1+0.2)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]P_0=4000[/tex]
[tex]r=0.2[/tex]
Since r>0, therefore the given function represents exponential growth.
b. From part (a), we have
[tex]r=0.2[/tex]
So, the rate of change in the population is 0.2. Multiply is by 100 to get the percentage change in population.
[tex]r\%=0.2\times 100[/tex]
[tex]r\%=20\%[/tex]
Therefore, the yearly percentage change in population is 20%.
c. We have,
[tex]P(t)=4000(1.2)^t[/tex]
Substitute [tex]t=5[/tex] in the given function to find the population living on the island after 5 years.
[tex]P(5)=4000(1.2)^5[/tex]
[tex]P(5)=4000(2.48832)[/tex]
[tex]P(5)=9953.28[/tex]
[tex]P(5)\approx 9953[/tex]
Therefore, the estimated population living on the island after 5 years is 9953.
Identifying the Input Value of a Function
The tiles on the left contain functions written using function notation. Match each function with its input.
h(g) = -4+9
The input is f.
f(h) = h - 7
The input is h.
g(t) = 21
The input is g.
Done
Intro
✓
Match each function with its impact
Answer: g(f)= 2f - The input is f
h(g)=-4+g - The input is g
f(h)=h-7 - The input is h
Step-by-step explanation:
The matches are:
h(g) = -4 + 9 corresponds to input g.
f(h) = h - 7 corresponds to input h.
g(t) = 21 corresponds to input t.
We have to given that,
To Match each function with its input.
h(g) = -4+9
The input is f.
f(h) = h - 7
The input is h.
g(t) = 21
The input is g.
Now, We get;
h(g) = -4 + 9 corresponds to input g.
f(h) = h - 7 corresponds to input h.
g(t) = 21 corresponds to input t.
So the matches are:
h(g) = -4 + 9 corresponds to input g.
f(h) = h - 7 corresponds to input h.
g(t) = 21 corresponds to input t.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
47 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows:
# of Siblings 0 1 2 3 4 5 6
Frequency 4 11 8 10 6 5 3
Round all your answers to 4 decimal places where possible.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The third quartile is:
What percent of the respondents have at least 4 siblings?
%
94% of all respondents have fewer than how many siblings?
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2
Answer:
Step-by-step explanation:
[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]
What minus 12 equals 12
Answer:
24-12
Step-by-step explanation:
Find area of shaded regioni in pi T):
3 in
120°
area of sector:
pi
Submit
Answer:
A = 2π in2
Step-by-step explanation:
See the image I have shared
what is the correct answer
===================================================
Explanation:
Focusing on triangle ACD, we see that AC = 20 is the hypotenuse and AD = 20/2 = 10 is the short leg. The short leg is half that of the hypotenuse when working with 30-60-90 triangles.
Also, for these types of triangles, the long leg is sqrt(3) times that of the short leg. That makes CD = AD*sqrt(3) = 10*sqrt(3)
The opposite sides are the same length, meaning BC = AD and AB = CD.
-----------
The perimeter of rectangle ABCD is
P = AB+BC+CD+AD
P = 10*sqrt(3) + 10 + 10*sqrt(3) + 10
P = 20 + 20*sqrt(3)
P = 54.6410161513776
P = 54.6 cm is the approximate perimeter
Answer:
54.64 cm
Step-by-step explanation:
The perimeter of a rectangle is the total length of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle. Perimeter of the given rectangle is a + b + a + b.
Length of CD = 17.32 cm from :
[tex] \sin(60) = \frac{cd}{20} \\ then \: x = 17.32 \: cm[/tex]
now CD = BA
Now we must determine length of AD :
[tex] \sin(30) = \frac{ad}{20} \: then \: ad \: = 10 \: cm[/tex]
Now :
perimeter = 17.32 + 17.32 +10+10 = 54.64 cm
Help pls and thank uu
Answer:
[tex]for~x=3[/tex]
[tex]f(x)=-5[/tex]
[tex]So,f(3)=-5[/tex]
--------------------------hope it helps...have a great day!!Correct answer gets brainliest!
Answer:
D
Step-by-step explanation:
YD and TH
TH is in HOT and YD is in DAY
They go from end to the front in the same way
Making a straight line from left to right that are on the same place
15. Identify the slope of the line graphed below? *
Answer:
[tex]\displaystyle m = 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (0, -1)
Point (1, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--1}{1-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{1}[/tex][Fraction] Divide: [tex]\displaystyle m = 2[/tex]Answer:
Step-by-step explanation:
Your math test scores have been: 73, 86, 91,88 Just from these scores, your current grade is 84.5 You just scored a 67 on the last test. What is your new grade?
Answer:
[tex]81[/tex]
Step-by-step explanation:
The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].
Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. *
Answer:
please give me brainliest for quest
Step-by-step explanation:
NECESITO AYUDA URGENTE...
1- Ordena en forma descendente el siguiente polinomio con respecto a la
variable n. Luego identifica el término independiente:
6n 3 + 7n 4 -2n 2 -5 + 9n 5
2- Completa el polinomio para que cada término tenga el mismo grado
absoluto:
5x 4 y 3 – 3x 6 ___ + 5x 2 4__ + 7___ y 2 + 8y 7 - 6
3- Observa el siguiente polinomio e identifica cuáles son los términos
semejantes:
-8 + 3m 3 n – 4m 2 n + 7mn 2 -11nm 3 + 5 + 6m 2 n
4- Evalúa la veracidad de cada afirmación de la siguiente afirmación:
El grado absoluto de un polinomio no puede ser 1: ___________
5- El grado absoluto de un polinomio se obtiene sumando los grados relativos
de las variables: _________
_
6- El grado absoluto de un binomio puede ser cero: _________
_
7- Si el grado relativo de una variable es tres, entonces, el grado absoluto es
un número mayor que tres: __________
8- Si el grado absoluto de un término es uno. Entonces, el polinomio tiene una
sola variable: ___________
9- Completa el polinomio, luego ordénalo en forma descendente:
15x 4 + 5x 6 + 3x 3 + 2x 2 + 8 + +
10- Cuál es el valor numérico del siguiente polinomio cuando la x = -2 ; y= -3
: 3x 2 y – 5xy 2 + x -3y + 2
Answer:
Step-by-step explanation:
1- Order in descending order the following polynomial with respect to the
variable n. Then identify the independent term:
[tex]6n^3 + 7n^4 - 2n^2 - 5 + 9n^5[/tex]
The independent term is - 5.
3- Look at the following polynomial and identify what the terms are
similar:
[tex]- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n[/tex]
The similar terms are + 3m^3 n and - 11 nm^3 and
- 4 m^2 n and 6 m^2 n
Kevin is doing a puzzle. He has completed 89/100 of the puzzle. Which decimal represents how much of the puzzle Kevin has left to do?
Answer:
100-89/100=11/100
=0.11
If I can travel 35 miles on 1 gallon of fuel and my tank holds 8 gallons, how many miles can I travel on a tank of fuel?
Answer:
can can travel 280 miles
Step-by-step explanation:
can you guys help me please!
Answer:
Step-by-step explanation:
what is the length of side X in the above right triangle
Answer:
x = 12
Step-by-step explanation:
Leg 1 = 9
Leg 2 = x
Hypotenuse = 15
Using Pythagorean Theorem;
A² + B² = C²
9² + x² = 15²
81 + x² = 225
x² = 225 - 81
x² = 144
x = [tex]\sqrt{144}[/tex]
x = 12
Hope this helps!
Answer:
x ≈ 12
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
Please help thank you!
Please help this is done today at 11:59 PM tonignt
Answer:
should be 359.18876
Step-by-step explanation:
if you round it to the nearest hundredth it will give you your answer in units
Will give BRAINLIST,
the bottom one... i think
Answer:
∠ 1 = 53°, ∠ 2 = 37°
Step-by-step explanation:
let ∠ 2 be x then ∠ 1 = x + 16
Complementary angles sum to 90° , then
x + 16 + x = 90
2x + 16 = 90 ( subtract 16 from both sides )
2x = 74 ( divide both sides by 2 )
x = 37
Then
∠ 2 = 37° and ∠ 1 = 37 + 16 = 53°
Help is appreciated:)
Answer:
Step-by-step explanation:
(-1, 3)
y=3
Pls help me with this!
Answer:
5 ÷ 1/3
5 × 3/1
5 × 3
=15
Step-by-step explanation:
the answer is 15
What is the length of the diagonal of the square shown below?
5√2
Step-by-step explanation:
By the Pythagorean theorem,
A² + B² = C²
5² + 5² = C²
25 + 25 = C²
C² = 50
C = √50
C = √(2 • 25)
C = √2 x √25
C = √2 • 5
C = 5√2
Answer:
5[tex]\sqrt{2\\}[/tex]
Step-by-step expla
chọn tam giác ==> cạnh huyền là đường chéo của hình vuông ảg
sin(∝)= đối / huyền
⇒huyền= đối /sin(45°)
⇒huyền= 5/ sin(45°)
⇒huyền= 5[tex]\sqrt{2}[/tex]
Simplify the expression
3(5x+8)
Answer:
Solution given:
3(5x+8)
distribute
15x+8*3
15x+24 is a required answer.
Answer:
15x + 24
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the two terms inside parentheses by 3:
3(5x + 8) = 15x + 24