The dependent variable here is task performance. The independent variable in the question is musical genres.
What is a dependent variable?This is the term that is used to refer tp the variable that is of interest. It is the variable that one is trying to determine.
The independent variable is the x variable. It is the variable that helps us check the impact that it has on the dependent variable.
The task performance is what we want to know here. To do so we want to use the genre of music.
Read more on dependent and independent variables here:
https://brainly.com/question/25223322
#SPJ1
What is the domain of the relation graphed below?
The domain of the relation shown in the graph is -4 <= x <= 4
How to determine the domain of the relation shown in the graph?The relation on the graph is an ellipse function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -4 <= x <= 4
Hence, the domain of the relation shown in the graph is -4 <= x <= 4
Read more about domain at:
https://brainly.com/question/1770447
#SPJ1
50% is what percent of 40%?
Answer:
125%Step-by-step explanation:
[tex] \frac{50}{100} \times 40[/tex][tex] = 125\%[/tex]if a rectangular piece of metal has 27.75 square inches what is the length and width?
The maximum area of a rectangular piece of metal with perimeter of 27.75 in² has length of 6.9375 in and width of 6.9375 in.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. hence:
Perimeter = 2(x + y)
27.75 = 2(x + y)
y = 13.875 - x
Area (A) = xy
A = x(13.875 - x)
A = 13.875x - x²
Maximum area is at A' = 0, hence:
A' = 13.875 - 2x
13.875 - 2x = 0
x = 6.9375
y = 6.9375
The maximum area of a rectangular piece of metal with perimeter of 27.75 in² has length of 6.9375 in and width of 6.9375 in.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Which of the following expressions would simplify to be the multiplicative identity?
023.32
023.23
021
0 20
NEXT QUESTION
ASK FOR HELP
need help I don't know the answer
A textbook store sold a combined total of 204 math and psychology textbooks in a week. The number of math textbooks sold was three times the number of psychology textbooks sold. How many textbooks of each type were sold?
A total of 204 textbooks were sold with 153 math textbooks and 51 psychology textbooks being sold, as the number of math textbooks was three times the number of psychology textbooks.
Given that,
The combined total of math and psychology textbooks sold in a week is 204.
The number of math textbooks sold is three times the number of psychology textbooks sold.
To solve this problem,
Assign variables to represent the number of math and psychology textbooks sold.
Let's say "M" represents the number of math textbooks and "P" represents the number of psychology textbooks.
We know that the combined total of math and psychology textbooks sold is 204,
So the equation be:
M + P = 204 .....(i)
We are also given that the number of math textbooks sold was three times the number of psychology textbooks sold.
In equation form, this can be expressed as:
M = 3P
Now, we can substitute the value of M in terms of P into the equation (i):
3P + P = 204
Combining like terms, we get:
4P = 204
Dividing both sides by 4, we find:
P = 51
So, the number of psychology textbooks sold is 51.
To find the number of math textbooks sold,
Substitute this value back into the equation:
M = 3P
M = 3(51)
M = 153
Therefore, the number of math textbooks sold is 153.
Hence,
153 math textbooks and 51 psychology textbooks were sold.
To learn more about word problem visit:
https://brainly.com/question/29203255
#SPJ4
Which expression represents seven less than the product of thirteen times a number, and two squared?
(13x + 22) · 7
7(13x · 22)
7 + 13x + 22
7 + 13x · 22
(13x · 22) − 7
Seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
How to represent an expression?The expression says seven less than the product of thirteen times a number, and two squared.
Let
the number = x
Hence, the product of thirteen times a number, and two squared is as follows:
13(x)(2²)
Therefore, seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
learn more on expression here: https://brainly.com/question/14172188
#SPJ1
what is ordinary numbers
What is ordinary number?
1 : a number designating the place (such as first, second, or third) occupied by an item in an ordered sequence — see Table of Numbers. 2 : a number assigned to an ordered set that designates both the order of its elements and its cardinal number.
taking test needing answers asap
Answer:
(4,8)
Step-by-step explanation:
hihihihihihihihohihih
please help me with these calculus bc questions
4. Compute the derivative.
[tex]y = 2x^2 - x - 1 \implies \dfrac{dy}{dx} = 4x - 1[/tex]
Find when the gradient is 7.
[tex]4x - 1 = 7 \implies 4x = 8 \implies x = 2[/tex]
Evaluate [tex]y[/tex] at this point.
[tex]y = 2\cdot2^2-2-1 = 5[/tex]
The point we want is then (2, 5).
5. The curve crosses the [tex]x[/tex]-axis when [tex]y=0[/tex]. We have
[tex]y = \dfrac{x - 4}x = 1 - \dfrac4x = 0 \implies \dfrac4x = 1 \implies x = 4[/tex]
Compute the derivative.
[tex]y = 1 - \dfrac4x \implies \dfrac{dy}{dx} = -\dfrac4{x^2}[/tex]
At the point we want, the gradient is
[tex]\dfrac{dy}{dx}\bigg|_{x=4} = -\dfrac4{4^2} = \boxed{-\dfrac14}[/tex]
6. The curve crosses the [tex]y[/tex]-axis when [tex]x=0[/tex]. Compute the derivative.
[tex]\dfrac{dy}{dx} = 3x^2 - 4x + 5[/tex]
When [tex]x=0[/tex], the gradient is
[tex]\dfrac{dy}{dx}\bigg|_{x=0} = 3\cdot0^2 - 4\cdot0 + 5 = \boxed{5}[/tex]
7. Set [tex]y=5[/tex] and solve for [tex]x[/tex]. The curve and line meet when
[tex]5 = 2x^2 + 7x - 4 \implies 2x^2 + 7x - 9 = (x - 1)(2x+9) = 0 \implies x=1 \text{ or } x = -\dfrac92[/tex]
Compute the derivative (for the curve) and evaluate it at these [tex]x[/tex] values.
[tex]\dfrac{dy}{dx} = 4x + 7[/tex]
[tex]\dfrac{dy}{dx}\bigg|_{x=1} = 4\cdot1+7 = \boxed{11}[/tex]
[tex]\dfrac{dy}{dx}\bigg|_{x=-9/2} = 4\cdot\left(-\dfrac92\right)+7=\boxed{-11}[/tex]
8. Compute the derivative.
[tex]y = ax^2 + bx \implies \dfrac{dy}{dx} = 2ax + b[/tex]
The gradient is 8 when [tex]x=2[/tex], so
[tex]2a\cdot2 + b = 8 \implies 4a + b = 8[/tex]
and the gradient is -10 when [tex]x=-1[/tex], so
[tex]2a\cdot(-1) + b = -10 \implies -2a + b = -10[/tex]
Solve for [tex]a[/tex] and [tex]b[/tex]. Eliminating [tex]b[/tex], we have
[tex](4a + b) - (-2a + b) = 8 - (-10) \implies 6a = 18 \implies \boxed{a=3}[/tex]
so that
[tex]4\cdot3+b = 8 \implies 12 + b = 8 \implies \boxed{b = -4}[/tex].
Which expression is equivalent to sec²x - 1?
O A. cot²x
OB. tan²x
OC. CsC²x
OD. cos²x
[tex]l = sec {}^{2} x - 1 \\ l = \frac{1}{cos {}^{2} x} - \frac{cos {}^{2} x}{cos {}^{2} x} \\ l = \frac{1 - cos {}^{2} x}{cos {}^{2}x } \\ l = \frac{sin {}^{2} x}{cos {}^{2} x} = ( \frac{sinx}{cosx} ) {}^{2} = tan {}^{2} x[/tex]
Bf(x)=x3 −4x even odd or neither
Answer:
The function would be odd
The answer is neither.
Let's take an odd number and substitute.
f(3) = 3³ - 4(3)f(3) = 27 - 12f(3) = 15 (odd)Now, let's take an even number.
f(4) = 4³ - 4(4)f(4) = 64 - 16f(4) = 48 (even)Since both even and odd numbers are possible, it is neither.
Which one of the following linear inequalities is graphed in the xy plane above
The linear inequality that is graphed in the xy plane is: C. 2x + 3y ≤ 4.
How to Write the Linear Inequality of a Graph?Values in the shaded part are the solution of a a linear inequality. Thus, a dotted or dashed line is used on the graph when the inequality sign is either "<" or ">". On the other hand, when a line that is not dotted or dashed is used when the inequality sign is either "≤" or "≥". These lines, dotted or not are the boundary lines.
Also, when the shaded area is above the boundary line, the sign "≥" or ">" is used. When the shaded part is beneath the boundary line, "≤" or "<" is used in the linear inequality.
The graph given has a boundary line that is not dashed or dotted, and also, the shaded part is beneath the boundary line. Therefore, the inequality sign to use is "≤".
Find the slope:
Slope (m) = rise/run = -4/3 / 2 = -4/6
m = -2/3
y-intercept (b) = 4/3.
Substitute m = -2/3 and b = 4/3 into y ≤ mx + b:
y ≤ -2/3x + 4/3
Rewrite
3y ≤ -2x + 4
2x + 3y ≤ 4
The answer is: C. 2x + 3y ≤ 4.
Learn more about inequality on:
https://brainly.com/question/11234618
#SPJ1
Write a quadratic function fwhose zeros are 2 and 8.
f(x) = 0
The average speed of a car on a stretch of interstate is 70 miles per hour. Convert this rate to feet per second.
Answer:
102. 66 feet / SecondStep-by-step explanation:
To do conversion change miles into feet and hour into second.
One foot is 5280 feet
And an hour is 3600sec
70 miles / Hour
70 * 5280feet / 3600 second
369600 feet / 3600seconds
Then simplify
102. 66 feet / Second
Speed given
70mph1 mi=5280ft
1h=3600s
So convert
70×5280ft/3600s7×528ft/36s102.67ft/s
You and Jake are studying together and after correctly solving a system of equations using
the substitution method the result is 3 3. Jake does not know how to interpret this
result.
In at least one complete sentence, explain to Jake the number of solutions, solution type,
and how the graph of the system of equations would look
Answer: its the 3rd one if im wrong im sorry
:3
Which statement is not true for goodness-of-fit tests? Question content area bottom Part 1 A. Expected frequencies must be whole numbers. B. Observed frequencies must be whole numbers. C. The observed frequency is found from sample data values. D. The expected frequency is found assuming that the distribution is as claimed.
The statement that is not true for goodness-of-fit tests is: A. Expected frequencies must be whole numbers.
What is Goodness-of-fit tests?Goodness-of-fit tests can be defined as the test conducted to help find out whether the observe value work hand in hand with expected value or the observe value is different from the expected value.
The statement is not true because it is not must for expected frequencies to be whole number despite the fact that expected frequencies are whole numbers.
Therefore the statement that is not true for goodness-of-fit tests is: A. Expected frequencies must be whole numbers.
Learn more about Goodness-of-fit tests here:https://brainly.com/question/16910222
#SPJ1
Which answer choice shows that the set of irrational numbers is not closed under addition? π+(-π)=0
1/2+(-1/2)=0
π+π=2π
1/2+1/2=1
Answer:
(a) π + (-π) = 0
Step-by-step explanation:
You want a counterexample for the statement that irrationals are closed under addition.
Closed setA set is closed under addition if adding members of the set always results in a member of the set.
π + (-π) = 0This shows that adding members of the set can result in a rational number. This is the counterexample you're looking for.
(1/2) + (-1/2) = 0Irrelevant. 1/2 is rational, so is not a member of the set of irrationals.
π + π = 2πAn example of a sum that is an element of the set. This is not a counterexample.
(1/2) +(1/2) = 1Irrelevant. 1/2 is rational, so is not a member of the set of irrationals.
<95141404393>
What is the range of the function f(x) = 2x^2 + 2 over the interval of -2 ≤ x < 5?
Answer:
10 ≤ f(x) < 52
Step-by-step explanation:
the range is the values of f(x) given by the domain - 2 ≤ x < 5
substitute the end points of the interval into f(x)
f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10
f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52
then range is 10 ≤ f(x) < 52
The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company.
Text
Message Instant
Message Phone Call Email Total
0 to 7 years 36 49 8 21 114
8 or more years 12 22 19 43 96
Total 48 71 27 64 210
What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication?
A.
48.84%
B.
20.48%
C.
67.19%
D.
44.79%
Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:
D. 44.79%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
P = a/b x 100%
In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:
P = 43/96 x 100% = 44.79%.
Hence option D is correct.
More can be learned about percentages at https://brainly.com/question/10491646
#SPJ1
Given that a function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6, select the statement that could be true for g.
The given statement that's true about the function is g(-13) = 20 is true for g.
How to illustrate the function?From the information given, the function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6.
Let's analyze the options that are given in the scenario. g(7) = -1. It should be noted that 7 isn't in our domain. Therefore, this isn't possible.
g(-13) = 29
x = 13 is in our domain and 20 is also is in our range. Therefore, this is true for g.
g(0) = 2.
This isn't true because it is given that g(0) = 2
In conclusion, the given statement that's true about the function is g(-13) = 20 is true for g.
Learn more about functions on:
brainly.com/question/10684895
#SPJ1
Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $80. Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $4,410. How many lower-priced speaker docks did it sell?
The lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.
AlgebraCost of higher-priced speaker = $170Cost of lower-priced speaker = $80Number of lower-priced speaker = 4xNumber of higher-priced speaker = xHigher-priced speaker = 170 × x
= 170x
Lower-priced speaker = 80 × 4x
= 320x
Total sales = $4,410
170x + 320x = 4,410
490x = 4,410
divide both sides by 490
x = 4,410 / 490
x = 9
So,
Number of lower-priced speaker = 4x
= 4 × 9
= 36
Number of higher-priced speaker = x
= 9
Therefore, the lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.
Learn more about algebra:
https://brainly.com/question/723406
#SPJ1
For what value of x is the rational expression below equal to zero?
X-4
(x+5)(x-1)
IOA. 4
OB. 1
O C. -4
OD. -5
Answer:
A
Step-by-step explanation:
x - 4 / (x + 5)(x - 1)
let's expand:
x - 4 / x² + 4x - 5
4 - 4 / 16 + 16 - 5 = 0 so answer is 4
-|8-15| what is the answer
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
Find the inverse of function f. F(c) = 9x + 7
Answer:
(x-7)/9
Step-by-step explanation:
F(c) = 9x + 7
y = 9x + 7 Now switch the y and the x and solve for y
x = 9y + 7 Subtract 7 from both sides
x - 7 = 9y Divide both sides by 9
(x-7)/9
domain of f(x)=(1/4)^x
What is the domain of f(x)
O A. x>0
OB. All real numbers
O C. y>0
O D. x<0
? Need help asap
Answer: B. All real numbers
Step-by-step explanation:
See attached image.
The sum of a number and seven is six less than four times the number. Write an algebraic equation and solve to find the number.
Answer:
13/3 or 4.333
Step-by-step explanation:
Let the number be x
the sum of x and 7 is 6 less than 4x, giving the equation: x+7+6 = 4x
Solve:
x+7+6 = 4x
x+13 = 4x
13 = 3x
x = 13/3
Find the coordinates of the image point for S(−11, 2) across y = 1.
Answer:
(11,0)
Step-by-step explanation:
A bank ATM system has a pad with 10 digits (0 to 9). Find the number of possible 4-digit pin codes
if digits can be repeated.
if digits cannot be repeated.
a.
1. 10 000 ; 2. 5 040.
b.
1. 5 040; 2. 10 080.
c.
1. 10 000; 2. 210.
d.
1. 3 125; 2. 15 120.
Answer:
A
Step-by-step explanation:
If digits can be repeated, that means there are 10 options for each place in the pin code. 10*10*10*10 = 10,000
If digits can not be repeated, there are 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit. 10*9*8*7 = 5040
What’s the next 3 numbers 0 10 1011 1031 102113 10311213
The next three numbers here would be 0, 10, 1011, 1031, 102113, 10311213, 10411223, 1031221314, 1041222314.
What is a number sequence
The term number sequence is used to refer to the list of numbers that have the relationship of having a linked rule. The number that follows in the sequence has to be worked out from the previous numbers in that particular sequence. You have to follow the particular rule to be able to work out the number that has to follow in the sequence.
For example we have these numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 etc. We would have to understand the pattern of numbers that are in the sequence. We can see that there is a difference of 3 between the number that succeeds the previous one in the sequence.
How to get the next values in the sequenceThe first value here is given to be 0
Next we have the 1 0 = 10
The next that we have is 1 0 and 1 1 written as 1011
Next is 1 zero and three one = 1031
We continue to follow the pattern till we arrive at 1041222314. This is where the sequence would then have to stop.
Hence we have to conclude that the next numbers are 10411223, 1031221314, 1041222314.
Read more on sequence of numbers here:
https://brainly.com/question/6561461
#SPJ1