Answer:
See the image.
Step-by-step explanation:
Constant balance in a bank account signifies that the balance in the account remains constant throughout time.
That is, it did not rise or diminish with time.
As a result, the graph of such a circumstance is a horizontal line parallel to the Time period axis.
Answer:
The straight line.
Step-by-step explanation:
how do you do (f +g)(x) if f(x) is equal to x/x+1 and g(x) is equal to 2x+1?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
( f + g )(x) = f (x) + g (x)
( f + g )(x) = ( x / x+1 ) + ( 2x + 1 )
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A tank has 120 gallons of
water and is being drained at a rate of
gallon each second. Another tank has 100
gallons of water and is being drained at a
rate of á gallon each second. Which equation
could be used to determine x, the number of
seconds, when the two tanks have the same
amount of water?
Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two. twenty-seven twenty fifths twenty-five twenty sevenths 59,049 over twenty-five twenty-five over 59,049
Answer:
Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.
twenty-seven twenty fifths
twenty-five twenty sevenths
59,049 over twenty-five
twenty-five over 59,049
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression when simplified is equal to 25/27. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as shown below,
(3²·3⁻⁵) / (5⁻²)
Using the rule of exponentials, x⁻ⁿ = 1/xⁿ,
= 3² · 3⁻⁵ · 5²
Using the rule of exponentials, mⁿ · mᵇ = m⁽ⁿ⁺ᵇ⁾,
= 3⁽²⁻⁵⁾ · 5²
= 3⁻³ · 5²
Using the rule of exponentials, x⁻ⁿ = 1/xⁿ,
= 5²/3³
= 25/27
Hence, the value of the given expression when simplified is equal to 25/27.
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For what value of k are the roots of the quadratic equation 3x² 2kx 27/0 real and equal?
For the values k = 9 and k = -9 the roots of the quadratic equation
3x²+ 2kx + 27 = 0 real and equal.
What is quadratic equation?
Any equation in algebra that can be rearranged in standard form as: \(ax^2 + bx + c = 0\) is known as a quadratic equation (from the Latin quadratus, "square").
where a ≠ 0 and a, b, and c are known numbers, x is an unknown value, and a. The equation is linear, not quadratic, if a = 0 and b ≠ 0. The coefficients of the equation, denoted by the numbers a, b, and c, are the quadratic coefficient, linear coefficient, and constant or free term, respectively.
The given equation is,
\(3x^2 + 2kx + 27 = 0\)
⇒ a = 3, b = 2k, c = 27
It is given that roots are real and equal.
Therefore,
\(b^2 - 4ac = 0\)
Plug the values of a, b, c in the above equation.
⇒
\((2k)^2 - 4(3)(27) = 0\\4k^2 - 324=0\\4k^2 = 324\\k^2 = 81\)
k = ±9
Hence, for the values k = 9 and k = -9 the roots of the quadratic equation 3x²+ 2kx + 27 = 0 real and equal.
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NEED ASAP
Solve: 6y = 42
A y=252
B y=7
C y=36
D y=48
Answer:
it is b y=7 done okays hope you like it
Answer:
B, y = 7.
Step-by-step explanation:
If 6y = 42, then all we have to do is divide both sides by 6.
Therefore,
y = 42/6
y = 7.
Which statement is true regarding the functions f(x) and g(x)?
A is wrong since the slopes are clearly different, f(x) goes up by 3 every time while g(x) goes up by 1 every time.
B is also wrong since they are both going up, if they were opposites, one would be going up while the other went down.
C is also wrong since the y-intercepts are not the same, in f(x), the y-intercept is at (0,-4), and in g(x) the y-intercept is at (0,4).
That only leaves D which is the correct answer.
7m - 6 + 3m + 7 = 21
Answer: m = 2
Step-by-step explanation: Coz I juss know
Answer:
m = 2
Step-by-step explanation:
7m - 6 + 3m + 7 = 21
(collect like terms)
10m + 1 = 21
10m = 21 - 1
10m = 20
(divide)
m = 2
A study that uses both manipulated and measured variables in a factorial design is called a(n) _____ design.
a. mixed repeated measures and independent groups
b. IV X PV
c. 2x2
d. multiple correlation
A study that uses both manipulated and measured variables in a factorial design is called a(n) option b. IV X PV design.
In this design, there are two or more independent variables (IVs) that are manipulated by the researcher.
And one or more measured variables, also known as participant variables (PVs), that are measured but not manipulated.
Factorial designs are used to investigate the effects of multiple independent variables on a dependent variable.
As well as the interactions between the independent variables.
The IV X PV design is a specific type of factorial design.
That includes at least one measured variable in addition to the manipulated independent variables.
Option A is incorrect because mixed repeated measures and independent groups are types of designs .
That describe how participants are assigned to different groups in a study, whereas the IV X PV design describes the types of variables that are used in a study.
Option C describes a specific type of 2x2 factorial design, which includes two independent variables, each with two levels.
Option D describes a design that is used to investigate the relationship between multiple measured variables and a single dependent variable.
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the graph shows the cost of renting snowshoes. Kyle rents a pair of snowshoes at 8 A.M. How much will he pay if he returns them by 2 P.M? How much will he pay if he returns them at 2.15 P.M?
The cost of rent from 8:00 AM to 2:00 PM is $21 and for 2:15 PM is $22.5
What is unit rate?A unit rate means a rate for one of something.
Given is a graph showing the cost of renting snowshoes for corresponding hours,
From 8:00 AM to 2:00 PM = 6 hours
According to graph,
The rent for 6 hours is $21
In an hour, the rent is $6
So, for 15 minutes = $1.5
Therefore, 8:00 AM to 2:15 PM = 6 hours + 15 minutes
Cost = 21+1.5
Cost = $22.5
Hence, The cost of rent from 8:00 AM to 2:00 PM is $21 and for 2:15 PM is $22.5
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Which object shown below could we slice diagonal to its base/face to create a triangle cross-section?
Answer:
A cube
Step-by-step explanation:
Answer:
triangle and rectangle .
Step-by-step explanation:
Use the diagram to complete the statements.
Angles 1 and 5 are
because they are
angles.
7
3
(2
Angles 4 and 6 are
because they are
4
5
angles.
7X6
8
a
S
Answer:
Can you show the options?
Step-by-step explanation:
Angle 1 and 4 are equal and angle 4 and 6 add up to 180
Answer:
congruent, corresponding, supplementary, same side interior
Step-by-step explanation:
Answer ASAP please
Choose the correct function
Answer:
B
Step-by-step explanation:
calculate a,b and c
(Chapter 12) For any vectors u and v in V3, (u X v) * u =0
We can see that the statement is not always true for any vectors u and v in V3.
What are the cross product of vectors?The statement is not always true.
The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,
u x v ⊥ u and u x v ⊥ v
However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.
For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,
u x v = <0, 0, 1>
(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0
So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,
u x v = <1, -1, 1>
(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0
So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then
u x v = <0, 1, 0>
(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0
So in this case, the statement is true as well.
However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then
u x v = <1, 0, 1>
(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2
So in this case, the statement is not true.
Therefore, we can see that the statement is not always true for any vectors u and v in V3.
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Are the functions u(x),v(x) orthogonal on [−1,1] ? Verify that ∥u(x)∥=52 and that ∥v(x)∥=7/2
Thus answer is ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).
To verify if two functions u(x) and v(x) are orthogonal on the interval [−1,1], we need to check if their inner product over that interval is zero. The inner product of two functions u(x) and v(x) is given by:
⟨u,v⟩ = ∫[−1,1] u(x)v(x) dx
Let's calculate the inner product and check if it equals zero:
∫[−1,1] u(x)v(x) dx = ∫[−1,1] (x^3 - x) (3x^2 + 1) dx
Expanding and integrating:
∫[−1,1] (3x^5 + x^3 - 3x^3 - x) dx = ∫[−1,1] (3x^5 - 2x^3 - x) dx = 0
Since the inner product is zero, we can conclude that the functions u(x) and v(x) are orthogonal on the interval [−1,1].
Next, let's calculate the norms of u(x) and v(x):
∥u(x)∥ = √(∫[−1,1] (x^3 - x)^2 dx) = √(52/5) = √(260/25) = 2√(13/5) = 2√(65)/5
∥v(x)∥ = √(∫[−1,1] (3x^2 + 1)^2 dx) = √(7/2)
Therefore, ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).
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What do you call relations in which every input has exactly one output
A function is a relation between sets where for each input, there is exactly one output.
A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.
The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
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PLEASE HELP!!!!!!!!!!!!!!!!!!! WILL CHOOSE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
(a) Raina owns 6 shares of a certain stock. Yesterday the total value of her shares went down by 60 dollars. What was the change in value for each share?
(b) A private club grew by 7 members each week for 14 weeks. What was the total change in the club's size?
Answer:
(a) i believe it is $10
(b)I believe it is 98 people
Step-by-step explanation:
(a) we are trying to find "?" for this explanation. I came up with the equation 60=6 x ?. The 60 shows us the total amount of dollars that the 6 shares went down. We need to find the amount. of dollars that went down for 1 stock. So we divide 60 by 6. and get 10.
(b) we are trying to find "?" for this explanation. I came up with the equation
?=7 x 14. All you have to so is multiply 7 by 14 and you get 98.
Hope this helps :)
Answer:
Just answering so that the other person can get brainliest :)
Step-by-step explanation:
Which value of y makes the equation 55/y = 5 true?
Answer:
11
Step-by-step explanation:
55/11=5
The function models the amount of money a new business has made over x months. Negative values represent debt. Over what interval is the amount increasing?
If the line has a positive slope, it means that the amount is increasing, and if it has a negative slope, it means that the amount is decreasing.
Based on the given information, the function models the amount of money a new business has made over x months. Therefore, we can assume that the function is a linear function, and its graph is a straight line.
Given that negative values represent debt, we can assume that the slope of the line is positive over the interval where the function takes positive values. Therefore, the interval over which the amount is increasing is from zero to infinity, which means that the business is making money and not in debt.
It's essential to note that if the function has a negative slope over any interval, then the amount is decreasing, and the business is losing money. However, we cannot determine this information from the given function's information.
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what is possible verbal description for this function relation for y=5x+10
The possible verbal description of the function relation y = 5x + 10 is; The rate of a bus is a $5 per kilometers and there is a basic charge of $10.
How to interpret Linear Equations?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, we are given the function relation as y = 5x + 10
From the general equation of a line in slope intercept form, m which is the slope is also known as the rate while c which is the y-intercept is the basic value when input is zero. Thus;
The verbal description of the given equation is;
The rate of a bus is a $5 per kilometers and there is a basic charge of $10.
Where;
The total cost is represented by y, as a function of the number of kilometers x.
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payments of $1400 each year for 8 years at 6ompounded annually
If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.
To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.
To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)^n - 1) / r
where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).
Plugging in the values, we have:
FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06
≈ $12,350
Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.
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what place value is the 8 in in the number 475.082
The place value is the 8 in in the number given is 8 hundredths.
What is place value?The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.
The place value =
Ones, tens, hundreds, thousands, ten-thounsands.
Place value names to the right of the decimal work in a similar way, only given that they are given fractional names because, well, they're fractions of one:
tenths: 0.1 = 1/10
hundreths: 0.01 = 1/100
thousandths: 0.001 = 1/1000
ten-thousandths: 0.0001 = 1/10000
and so on.
As the 8 is in the second unit value over, that means it's in the hundredths place. That means that its value is eight hundredths.
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if y1 = 116 and y7 = 255, then the simple index number for period 7 (denoted i7) is:
The index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.
How to determine the simple index number for period 7Based on the information provided, we will calculate the simple index number for period 7 (i7) using the given values for y1 and y7.
The simple index number formula is:
i7 = (y7 / y1) × 100
Where y1 represents the value in period 1 (116) and y7 represents the value in period 7 (255).
Plugging in these values, we get: i7 = (255 / 116) × 100 i7 ≈ 219.83
Thus, the simple index number for period 7 (i7) is approximately 219.83.
This index number is a measure that compares the value of y7 to the value of y1, with y1 being the base period.
In this case, the index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.
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SOMEONE HELP ME PLEASE
Which equation has a solution of 8?
Answer:
d) 2r=16
Step-by-step explanation:
What's 9 in index form
Answer:
3²
Step-by-step explanation:
45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?
Answer:
9 girls
Step-by-step explanation:
total girls tried out = 45
did not make the team
= 20% of the girls
= 20/100 × 45
= 9 girls
What is the y-intercept of the function, represented by the table of values
below?
O A. 5
O B. 3
O c. 10
O D. 6
The seats in a lecture hall are arranged in 20
rows with 8 seats in each row, Find how many
seats are in this room.
A) 152 seats
C) 170 seats
B) 168 seats
D) 160 seats
Match the correlation to the statement:
I cannot be confident at all.
I can be a little confident; my prediction could be close or way off.
I can be somewhat confident; my predicted value could be close but not exact.
I can be certain that my predicted value will be exact.
-1 -0.645 0 0.347
Also If someone doesnt mind can you please explain this??? I dont understand at all lol.
The correct matching relating the correlation coefficients are given as follows:
0: I cannot be confident at all.0.347: I can be a little confident; my prediction could be close or way off.0.645: I can be somewhat confident; my predicted value could be close but not exact.-1: I can be certain that my predicted value will be exact.What is a correlation coefficient?A correlation coefficient is an index that measures the association between multiple variables.
The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.
Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.
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