The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.The variables who take their values based on some other variables' values are called dependent variables.The complete question is:
A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?
A. The rate of change is $0.25 and minutes are the independent variable.
B. The rate of change is $0.25 and minutes are the dependent variable.
C. The rate of change is $0.10 per minute and minutes are the independent variable
D. The rate of change is $0.10 per minute and minute are the dependent variable.
The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,
Total Cost = $0.25 + $0.10(x)
Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.
Hence, the correct option is C.
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find the value of x in (2^2x)^3 = 64
Answer: x=12
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
The equation can be simplified and solved using the rules of exponents and the usual inverse operations.
__
Interpreted according to the Order of Operations, your equation is ...
((2^2)x)^3 = 64
(4x)^3 = 64x^3 = 64 . . . . . . use (ab)^c = (a^c)(b^c)
x^3 = 1 . . . . . . . . . . . . . . divide by 64
x = ∛1 = 1
__
Perhaps you want x in the exponent:
(2^(2x))^3 = 64
2^(6x) = 2^6 . . . . . . . . . use (a^b)^c = a^(bc)
6x = 6 . . . . . . . . match exponents
x = 1 . . . . . . divide by 6
_____
Additional comment
Folks are often not careful about identifying exponents. It is helpful if you write the exponent in a way that leaves no ambiguity.
Given that ABCD is a rhombus, what is the value of x?
Answer:
E. 18.6
Step-by-step explanation:
The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.
__
solve for xComplementary angles total 90°.
(x°) +(4x -3)° = 90° . . . . . the marked angles are complementary
5x = 93 . . . . . . . . . . . . divide by °, add 3
x = 93/5 = 18.6 . . . . . divide by the coefficient of x
The value of x is 18.6.
Given f(x) = x^4. if the function is transformed so that the inflection point is
(-2, 1). write the new function.
can anyone answer this pls!!!!!!!!!!
u₁₂ represents the amount of loan remaining after 12 years
How to interpret u₁₂?The function is given as:
u₀ = 8000
[tex]u_n = u_{n-1}(1 + 0.054) - 500[/tex]
Given that the subscript n in [tex]u_n[/tex] represents number of years and [tex]u_n[/tex] represents the amount left to be paid after n years.
We can conclude that:
u₁₂ represents the amount of loan remaining after 12 years
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A table of values shown below represents a linear function which of these points could also be an ordered pair in the table and why?
Answer:
(18,27) , because the rate of change of the function is 4/3
Step-by-step explanation:
a rectangle mural measure 234 inches by 245 inches, rihanna created a mural 33 inches longer
Rhiannna needs 1024 inches longer bedspread if Rhiannna gets a new bedspread that is 33 in length.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degrees. It is a type of quadrilateral.
The question is incomplete.
The complete question is:
Rhiannna has a rectangular bedspread that measures 234 in. By 245 in. She wants to sew a fringe around the edge of the bedspread. What length of fringe does Rhiannna need to purchase. Rhiannna gets a new bedspread that is 33 in length. What length of the fringe does Rhiannna need for the longer bedspread?
We know perimeter of the rectangle = 2(length + width)
= 2(234 + 245 )
= 958 inches
Rihannon gets a new bedspread that is 33 in length:
New perimeter = 2(33) + 958 = 1024 inches
Thus, Rhiannna needs 1024 inches longer bedspread if Rhiannna gets a new bedspread that is 33 in length.
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Determine, to the nearest tenth of a year, how long it would taken an investment to double at a 3 3/4% interest rate, compounded continuously
Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.
We have given that,
investment to double at a 3 3/4% interest rate,
When will the investment double in value?The future value using continuous compounding is:
= Amount x e ^ (rate x time)
Interest is
= 3.75%
What is the formula of an exponential function?2 = e ^ (0.0375 x time)
In2 = 0.0375 x time
t = In2 / 0.0375
t= 18.5 years
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if you do 12 minutes of a 45 minute workout how many calories is it? (the 45 minutes is 1000 calories in total)
help!
Answer:
266[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. [tex]\frac{12}{45}[/tex] x 1000 = 266[tex]\frac{2}{3}[/tex]
You and your family are going on a
family cruise this summer! WOO HOO!
Your parents had to put down a $250
deposit. Then, the cruise costs $500
per person on top of that. There are 5
people in your family. How much will
the entire cruise cost? Okay
Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
x = -8
y = 0
Step-by-step explanation:
The two shown equations can be added together:
x + 4y = -8
+ ( x - 4y = -8 )
The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:
2x = -16
Therefore, x = -8. We can plug this into the first equation to get:
-8 + 4y = -8
Subtracting 8 on both sides yields:
4y = 0
Now divide by 4 on both sides to get
y = 0
We can check these values by plugging them into the second equation:
(-8) - 4(0) = -8
-8 - 0 = -8
-8 = -8
Since -8 always equals -8, the answer is correct.
Are the equations 4-5x=24 and 5x=20 equivalent?
Answer:
not equivalent
Step-by-step explanation:
solve for x
4-5x=24
-5x=20
x = - 4
5x=20
x = 4
no they are not equivalent
Someone please help fast!
Simplify: in the picture
Answer:
-3ab
Step-by-step explanation:
-27/9= 3
(a^2)/a=a
(b^2)/b=b
our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages?
Answer:
$60
Step-by-step explanation:
cost = $50 + $0.25x
Since x = 40
$(50 + 10) = $60
Answer:
$60/month
Step-by-step explanation:
So the equation would be 50 + (0.25 * 40), solve parenthesis 50 + 10, so answer would be $60.
A country has two political parties, the Reds and the Blues. The 100-member senate has 44 Reds and 56 Blues. How many ways are there to pick a 10 member committee of senators with the same number of Reds as Blues
There are 4.15E12 ways to select the members of the committee to have the same number of Reds as Blues
How to determine the number of ways?The given parameters are:
Reds = 44
Blues = 56
Committee member = 10
To have the same number of Reds as Blues, the committee must have 5 reds and 5 blues.
So, the number of ways is;
Ways = 44C5 * 56C5
Evaluate the combination expressions:
Ways = 1.086008 E+6 * 3.819816 E+6
Evaluate the product
Ways = 4.15E12
Hence, there are 4.15E12 ways to select the members of the committee
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You used $3000 of your budget for training your employees. each hour of training costs $40 per employee plus a one-time $200 fee. a. how many hours of training can your purchase? b. how many hours of training will each of your employees receive? remember how many employees do you have?
A. The number of hours of training that you can purchase with a $3,000 training budget at $40 per employee per hour and a one-time $200 fee is 70-employee-training-hours.
B. Each employee will get 7 hours of training, assuming your organization has 10 employees.
What is the cost of training employees?The training cost of employees varies from one organization to another.
The training cost also depends on the training provider and the number of hours of training being offered.
Data and Calculations:Training budget = $3,000
One-time fee = $200
Remainder after the one-time fee = $2,800 ($3,000 - $200)
Training costs per employer per hour = $40
Hours of training to purchase = 70 ($2,800/$40)
Thus, an organization with 10 employees can obtain 70 hours of training with the training budget.
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What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
is that the ixl
website ????????????????????????????????
Read the statement.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are
true? Select two options.
Op q represents the original conditional statement.
~p~q represents the inverse of the original conditional statement.
q- p represents the original conditional statement.
-q- ~p represents the converse of the original conditional statement.
Op q represents the contrapositive of the original conditional statement.
-
Mark this and return
Submit
Next
The options that are true as a result of doubling the rectangle dimensions are;
p → q represents the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.
What are conditional statements?We are told that;
Doubling the dimensions of a rectangle increases the area by a factor of 4.
Now, p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Thus, using conditional statements notation, we can say that;
p → q represents the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.
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-34 + 2x divided by -8
Answer:
-34+x/4
Step-by-step explanation:
Answer:
x=17
Step-by-step explanation:
Since you did not specify, we will assume that your equation is equal to 0.
1. (-34+2x)/(-8) = 0 (multiply both sides by -8)
2. (-34+2x) = 0 (add 34 to both sides)
3. 2x = 34 (divide both sides by 2)
4. x = 17
LL
F
C
9
5
D
2x+3
E
What is the value of x and the length of segment DE?
1 5
9
9
2x + 3
2. 10x+15=9(9)
Length of DE=
units
Answer:
[tex]x=\boxed{6.6}[/tex]
[tex]\overline{\sf DE}=\boxed{13.2}\:\:\sf units[/tex]
Step-by-step explanation:
Geometric Mean Theorem - Altitude Rule
The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:
[tex]\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}[/tex]
From inspection of the given diagram:
altitude = FD = 9segment 1 = CD = 5segment 2 = DE = [tex]2x+3[/tex][tex]\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}[/tex]
Substitute the found value of x into the expression for DE:
[tex]\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}[/tex]
Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?
The given equation is equivalent to Option D .
The mission option is
A. x+10= x+10
B. x+9 =x² + 20x + 100
C. x² +81 = x² + 100
D. x² + 81 = x² +20x + 100
What is an Equation ?An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .
An equation is given in the question
[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]
[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]
[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]
Therefore the given equation is equivalent to Option D .
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The points (4,2) and (-1, y) are √√74 units apart. What is the
value of y?
Please help!!!
Answer:
y = - 5 or y = 9
Step-by-step explanation:
using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (4, 2 ) and (x₂, y₂ ) = (- 1, y )
d = [tex]\sqrt{(-1-4)^2+(y-2)^2}[/tex]
= [tex]\sqrt{(-5)^2+(y-2)^2}[/tex]
= [tex]\sqrt{25+(y-2)^2}[/tex]
equating to [tex]\sqrt{74}[/tex] , that is
[tex]\sqrt{25+(y-2)^2}[/tex] = [tex]\sqrt{74}[/tex] ( square both sides )
25 + (y - 2)² = 74 ( subtract 25 from both sides )
(y - 2)² = 49 ( take square root of both sides )
y - 2 = ± [tex]\sqrt{49}[/tex] = ± 7 ( add 2 to both sides )
y = 2 ± 7
Then
y = 2 + 7 = 9 or y = 2 - 7 = - 5
Which associations best describe the scatter plot?
Select each correct answer.
Positive association
Negative association
Linear association
Nonlinear association
What is the answer of 32% of 125
Answer:
40
Step-by-step explanation:
32÷100= 0.32
0.32×125= 40
convert your percentage into a number first, so that you are working with normal numbers only, and then multiply that by your total.
The illustration below shows the graphs of fourteen functions.
Two of them have equations
y = (z+6)³-2
y=-(z-9)³ +3
Due to length restrictions, we kindly invite to check the explanation of this question to understand the derivation of the polynomic expressions.
How to determine a family of cubic functions
Cubic functions are polynomials of grade 3. In this case, we have pairs of cubic functions of the following form:
y = (x - h)³ + k (1)
y = - (x - h)³ + k (2)
a) Where (h, k) are the coordinates of the vertex of each cubic function. There is a translation of (x, y) = (3, 1) between each two consecutive pairs of cubic functions. Hence, we have the following fourteen cubic functions:
y = (x + 9)³ - 3y = - (x + 9)³ - 3y = (x + 6)³ - 2y = - (x + 6)³ - 2y = (x + 3)³ - 1y = - (x + 3)³ - 1y = x³ y = - x³y = (x - 3)³ + 1y = - (x - 3)³ + 1y = (x - 6)³ + 2y = - (x - 6)³ + 2y = (x - 9)³ + 3y = - (x - 9)³ + 3b) Another family of functions with a similar pattern is shown below:
y = (x + 9)² - 3y = - (x + 9)² - 3y = (x + 6)² - 2y = - (x + 6)² - 2y = (x + 3)² - 1y = - (x + 3)² - 1y = x² y = - x²y = (x - 3)² + 1y = - (x - 3)² + 1y = (x - 6)² + 2y = - (x - 6)² + 2y = (x - 9)² + 3y = - (x - 9)² + 3To learn more on cubic functions: https://brainly.com/question/25732149
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What is another name for the Sierpinski triangle?
Sierpinski Pyramid
Sierpinski Gasket
Sierpinski Fractal
Fractal Triangle
Answer:
The Sierpinski triangle is also called the Sierpinski gasket.
Step-by-step explanation:
The Sierpinski triangle is a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński who described it in 1915.
A local public library decides to track the number of hours that a certain computer is being used. The table represents the number of hours, y, which is dependent on the number of days, x.
x
y
3
21
5
37
7
53
What is the linear equation that represents this situation?
y = 8 x + 45
y = 8 x minus 3
y = 2 x + 16
y = 2 x minus 32
That statistic is based on a pinterest quote, the actual statistic is closer to 8-10%
If f(x) = x² - 2x, find:
f(5) = [?]
Answer:
[tex]15[/tex]
Step-by-step explanation:
if [tex]f(x) = x^2 -2x[/tex], then that means that [tex]f(5) = (5)^2 - 2(5)[/tex] which equals [tex]15[/tex].
Step-by-step explanation:
A function f is defined by f (x) = 2x - 5. Write down the values of In mathematics, a function means a correspondence from one value x of the first set to another value y of the second set. NCERT Solutions Class 11 Math's Chapter 2 Exercise 2.3 Question 3 A function f is defined by f (x) = 2x - 5.
Kian borrowed £1900 at a simple interest rate of 8% per year.
After a certain number of years, he owes a total of £2812 on this loan.
How many years have passed since he took out the loan?
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 2812\\ P=\textit{original amount deposited}\dotfill & \$1900\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 2812=1900[1+(0.08)(t)]\implies \cfrac{2812}{1900}=1+0.08t\implies \cfrac{37}{25}=1+0.08t \\\\\\ \cfrac{37}{25}-1=0.08t\implies \cfrac{12}{25}=0.08t\implies \cfrac{ ~~ \frac{12}{25} ~~ }{0.08}=t\implies 6=t[/tex]
Find the values of X and Y in the parallelogram.
Answer: x=-5, y=20
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so AB=CD.
[tex]x^{2}-15=-2x\\x^{2}+2x-15=0\\(x+5)(x-3)=0\\x=-5, 3[/tex]
But as distance must be positive, as CD=-2x, x must be negative, so x=-5.
Opposite angles of a parallelogram are congruent, so [tex]m\angle D=m\angle B[/tex].
[tex]4y+26=106\\4y=80\\y=20[/tex]
What is the answer (6√2)(-3√5)
Solution:
[tex] - 18 \sqrt{10} [/tex]
Step-by-step explanation:1. Apply rule : a(-b) = -ab
[tex] = - 6 \sqrt{2} \: \: • \: \: 3 \sqrt{5} [/tex]
2. Apply radical rule : [tex] \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex] , [tex]a \geqslant 0[/tex], [tex]b[/tex]
[tex] = 6 \sqrt{2 \: • \: 5} \: • \: 3[/tex]
3.Multiply the numbers : 2 • 5 = 10=[tex]6 \sqrt{10} •3[/tex]
4.Multiply the numbers : - 6 • 3= - 18[tex] = - 18 \sqrt{10} [/tex]