Step-by-step explanation:
The independent variable is the one that we change, and because we are changing the genre, the independent variable is the different types of music.
The variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given Heather is researching the relationship between music and memory as a result. Students learn word lists while listening to various music styles, and she analyzes their memory after an hour, a day, and a week.
A variable that is independent is exactly what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to measure.
Thus, the variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.
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look at picture and solve
Rút gọn bthuc
7x(4y-x) + 4y(y-7x) - (4y^2 -7x)
¢✓¢==¢=
Step-by-step explanation:
==`==¢=¢✓%✓™€✓✓€=€✓€✓
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Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2). 9x3 − 2x − 3 3x3 + 2x + 3 3x3 − 2x − 3 9x3 + 14x + 3
Answer:
9x3 - 2x - 3.
Step-by-step explanation:
(6x3 − 8x − 5) + (3x3 + 6x +2)
= 6x3 − 8x − 5 + 3x3 + 6x + 2
= 6x3 + 3x3 - 8x + 6x - 5 + 2
= 9x3 - 2x - 3.
Answer:
9x-2x-3
Step-by-step explanation:
I took the test
plz answer this asap
Answer:
50%
Step-by-step explanation:
Suppose that $9500 is placed in an account that pays 9% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
so
(b) Find the amount in the account at the end of 2 years.
$
?
Answer:
$11286.95 second year
$10335 first year
Step-by-step explanation:
9% of 9500 is 855, 9500 plus 855 = 10335. (first year)
9% of 10335 is 931.95, and 10335+931.95 is 11286.95. (second year)
The amount in the account at the end of 1 year $10335 (first year)
The amount in the account at the end of 2 years $11286.95.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
here, we have,
$9500 is placed in an account that pays 9% interest compounded each year.
so, we get,
9% of 9500 is 855,
9500 plus 855 = 10335. (first year)
again,
9% of 10335 is 931.95,
and 10335+931.95 is 11286.95. (second year)
Hence, The amount in the account at the end of 1 year $10335 (first year)
The amount in the account at the end of 2 years $11286.95.
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area of a parrollelogram with a base length of 2.9ft and a height of 5.5ft
Answer:
[tex] \boxed{15.95 \: {ft}^{2} }[/tex]Step-by-step explanation:
base length ( b ) = 2.9 ft
Height ( h ) = 5.5 ft
Let's find the area of parallelogram:
Area of parallelogram : [tex] \mathsf{ = b \times h}[/tex]
plug the values
⇒[tex] \mathsf{2.9 \times 5.5}[/tex]
Multiply
⇒[tex] \mathsf{15.95}[/tex] ft²
--------------------------------------------------------------------
Extra information:
Parallelogram
The quadrilateral in which opposites sides are parallel is called a parallelogram.
The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.The area of a parallelogram = base × heightHope I helped!
Best regards!
A circle has center D and passes through the points F and G. Which of the following is the name of this circle?
Answer:
Circle D
Step-by-step explanation:
The answer is Circle D
Convert the following:
1 meter is equivalent to
ao feet (rounded to the nearest hundredth)
Answer:
1 meter = 3.28 feet
Step-by-step explanation:
The unit of conversion from meters to feet is given as follows;
By convention
1 yard = 09144 meters
1 yard = 3 feet
Therefore, we have;
1 foot = 0.9144/3 = 0.3048 m
Alternatively we can get;
1 inch = 0.0254 meters
1 foot = 12 inches
Therefore, we have;
1 foot = 12 × 0.0254 = 0.3048 meter
Which gives;
1 foot = 0.3048 meter
Given that 0.3048 meter = 1 foot, to find the measure of 1 meter, we proceed by dividing both sides of the equation by 0.3048 to get
0.3048/0.3048 meter = 1/0.3048 foot = 3.28084 feet
1 meter = 3.28084 feet. ≈ 3.28 feet to the nearest hundredth
A line passes through the point (–1,–2) and is perpendicular to the line with the equation y= –x – 1. What's the equation of the line?
Question 16 options:
A)
y = x – 5
B)
y = –x + 3
C)
y = –x + 7
D)
y = x – 1
Answer:
D) y = x - 1
Step-by-step explanation:
First we need the general equation of point slope form:
(y - y0) = m(x - x0)
Where y0 is the y coordinate and x0 is the x coordinate and m is the slope.
For the line to be perpendicular, we need the slope to be the negated opposite of the other equation. So the negated opposite of -1 is 1.
So our m = 1, y0 = -2, and x0 = -1. Now let's plug this into the equation and reform the equation into slope-intercept form
(y - (-2)) = 1 (x - (-1))
y + 2 = 1 (x + 1)
y + 2 = x + 1
y = x - 1
So the equation of the line that goes through the point (-1,-2) and is perpendicular to the line y = -x -1, is y = x - 1.
Cheers.
Answer:
B) y = -x - 3
Step-by-step explanation:
slope = -1
y = mx + b
-2 = -1(-1) + b
-3 = b
y = -x - 3
Solve 4x+6700x=k (solve for k)
Answer:
k = 6704x
Step-by-step explanation:
4x + 6700x = k
Simplify terms by subtracting or adding.
➡️ 4704x = k
swap both sides of the following equation.1
➡️ k = 6704x, x ∈ ℝ
Evaluate the expression 18C4
Answer:
3,060
Step-by-step explanation:
Given:
18C4
nCr=n! / r!(n-r)!
=18! / 4!(18-4)!
18!=18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
=6,402,373,705,728,000
4!=4*3*2*1
=24
(18-4)!=14!
=14*13*12*11*10*9*8*7*6*5*4*3*2*1
=87,178,291,200
18! / 4!(18-4)!
=6,402,373,705,728,000 / 24*87,178,291,200
=6,402,373,705,728,000 / 2,092,278,988,800
=3,060
Brooke is evaluating her college credit hours. In order to graduate, Brooke must complete at least 132 credit hours. She has already completed 4 semesters, receiving 15 credit hours per semester. Which inequality could be used to find c, the number of credit hours that Brooke needs to complete in order to graduate college? A. 4(15) + 4c > 132 B. 4(15) + c > 132 C. 4(15) + c < 132 D. 4(15) + 4c < 132
Answer:
B. 4(15) + c > 132Step-by-step explanation:
We already establish an understand that, for Brooke to graduate she needs nothing less than 132 credit hours.
Now a semester has 15 credit hours, she has 4 semester completed already.
Hence 15*4= 60 credit hours done and dusted
This means that she has 132-60 = 72 credit hours to go
Since "c" is the number of credit hours that Brooke needs to complete in order to graduate college.
The inequality can be modeled as,
4(15) + c > 13260 + c > 132
c= 132-60
c= 72
Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleP to the nearest whole degree? 35° 52° 57° 72°
Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Answer:
57 degrees
Step-by-step explanation:
just took the test on edg2020
You invest $5000 into an account that has a 2.7% annual interest rate and is compounded quarterly. Approximately how long will it take until you have $7,500 in your account?
Since the interest is compounded, we will have to use the compound interest formula.
We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.
5000 will go in for P because that's the starting amount.
2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.
Since the interest is compounded quarterly, n = 4.
After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.
It take 10.5 years for the investment to grow to $7,500 in the account with a 2.7% annual interest rate compounded quarterly.
Given:
P = $5000
r = 2.7% = 0.027 (as a decimal)
n = 4 (quarterly compounding)
A = $7500
The formula for compound interest:
[tex]\[ A = P\left(1 + \frac{r}{n}\right)^{nt} \][/tex]
Substituting these values into the formula
[tex]\[ 7500 = 5000\left(1 + \dfrac{0.027}{4}\right)^{4t} \][/tex]
Dividing both sides of the equation by $5000, we have:
[tex]1.5 = (1.00675)^{(4t)[/tex]
Assuming a natural logarithm (ln), we have:
ln(1.5) = [tex]ln((1.00675)^{(4t))[/tex]
Using the logarithm property,[tex]ln(a^b) = b * ln(a)[/tex], simplify the equation:
[tex]ln(1.5) = 4t * ln(1.00675)[/tex]
Now, dividing both sides of the equation by 4 * ln(1.00675):
t = ln(1.5) / (4 * ln(1.00675))
t = 10.5 years.
Therefore, it will take 10.5 years for the investment to grow.
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 Which correlation best describes the data below.
Answer:
Weak positive correlation
hello, i need help pleaseeeeeeeeeeeeeeee
Answer:
f₁(x) = -3x + 2
f₂(x) = x - 4
f₃(x) = x + 8
f₄(x) = -2x - 6
f₅(x) = -3x
Step-by-step explanation:
1). Since function f₁ (blue line) passes through a point (0, 2) and (-2, 8)
Let the equation of the blue line is,
y = mx + b
Since slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{8-2}{-2-0}[/tex]
m = -3
Y-intercept 'b' = 2
Therefore, equation of the line will be,
y = -3x + 2
Linear function representing the line will be,
f₁(x) = -3x + 2
2). Let the equation of the red line passing through (0, -4) and (2, -2) is,
y = mx + b
Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{-4+2}{0-2}[/tex]
m = 1
y-intercept 'b' = -4
Therefore, the linear function will be,
f₂(x) = x - 4
3). Let the equation of the green line passing through (-6, 2) and (-2, 6) is,
y = mx + b
Slope of the line 'm' = [tex]\frac{6-2}{-2+6}[/tex]
m = 1
y-intercept 'b' = 8
Therefore, linear function will be,
f₃(x) = x + 8
4). Let the equation of the yellow line passing through (-6, 6) and (-4, 2) is,
y = mx + b
Slope of the line = [tex]\frac{6-2}{-6+4}[/tex]
m = -2
y-intercept of the line 'b' = -6
Therefore, function representing the line will be,
f₄(x) = -2x - 6
5). Let the equation of the pink line is passing through (0, 0) and (-2, 6) is,
y = mx + b
Since the line is passing through origin, y-intercept 'b' = 0
Slope of the line = [tex]\frac{6-0}{-2-0}[/tex]
m = -3
Therefore, equation of the linear function will be,
f₅(x) = -3x
I beed help nowww hjbiuhkju uhbjknjhiuy
Answer:
answer hoga 3/2 ok.....
Answer: 3/2
Step-by-step explanation:
A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?
Answer:
2 pi •10•210
Step-by-step explanation:
Khan academy
3. the third one please answer ASAP write it on paper, please
Answer:
1/3
Step-by-step explanation:
We have to make the denominator of all fractions to be 15:
Multiply both the 4 and the 5 in 4/5 by 3 to get 12/15.
Nothing has to be done to 3/15.
Next, multiply both the -2 and the 3 in -2/3 by 5 to get -10/15.
Solve:
12/15 + 3/15 - 10/15 = 5/15.
5/15 further simplifies to 1/3.
The final answer is 1/3.
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?
Answer:
722059884 if there are 232323 students
if there are 23 students its 71484
Step-by-step explanation:
hope this helps
Answer: The answer is 644
Step-by-step explanation:
23x4x7=644
Please help I will give you Brainlyest
Answer:
a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.
b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.
c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.
A cylinder has a height of 16 cm and a radius of 5 cm.A cone has a height of 12 cm and a radius of 4 cm.if the cone is placed inside the cylinder as shown,what is the volume of the air space surrounding the cone inside the cylinder
Answer:
Step-by-step explanation:
Cylinder height= 16cm and radius =5cm
Formula for volume= π r squared times height
π x 5²(r) x 16 (h) = 1256cm³
Formula for volume of a cone= π x radius x height divided by 3
π x 4² x 12/3= 200.96cm³
Answer= 1256-200.96= 1055.04cm³
have a good day hope it helped
no calculator needed! been stuck for a while. how do I solve this style of question?
Answer:
- [tex]\sqrt{3}[/tex] and 0
Step-by-step explanation:
tan(2x)
= tan(2 × [tex]\frac{\pi }{3}[/tex] ) = tan([tex]\frac{2\pi }{3}[/tex] ) = - tan([tex]\frac{\pi }{3}[/tex] ) = - [tex]\sqrt{3}[/tex]
cos(3x) = cos(3 × [tex]\frac{\pi }{6}[/tex] ) = cos([tex]\frac{\pi }{2}[/tex] ) = 0
How does an outlier affect the median?
Answer:
Formulas and Procedures: Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 years, how much interest will the company pay?
Answer:
about 11.03 million
Step-by-step explanation:
Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):
Substitute the values given:
I = 70,000,000(1 + 5/100)^3 - 70,000,000
Use a calculator to solve and you will get ~11.03 million.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The interest the company paid is $11 million.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $70 million
r = 5%
t = 3 years
n = 1
A = 70 ( 1 + 0.05)³
A = 70 ( 1.05)³
A = 70 x 1.05 x 1.05 x 1.05
A = $81 million
The amount of interest.
= A - P
= 81 - 70
= $11 million
Thus,.
The interest the company paid is $11 million.
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to
52°
38°
142
x =
degrees
Answer:
X= 128degrees
Step-by-step explanation:
As, angles 52,38,142and X making 360 degree
52 +38+142+x=360
X=128
⇛ ∠ x° and ∠ 52° (Both are linear pairs).
A linear pair is a pair of adjacent angles formed when two lines intersect.
The sum of angles of a linear pair is always equal to 180°[tex] \bf \large \implies \: \angle \: x \: + \: \angle \: 52 \: = \: 180 \degree[/tex]
[tex]\bf \large \implies \: \angle \: x \: = \: \: 180 \degree \: - \: \angle \: 52 \:[/tex]
[tex]\bf \large \implies \: \angle \: x \: = \: 128 \degree[/tex]
Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)
Answer:
3(-8 + 1) = 3(-8) + 3(1)
Step-by-step explanation:
The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here
The first two are the communitive property of addition, and the last one is the communitive property of multiplication.
Cheers.
Answer:
c
Step-by-step explanation:
A rectangle has a perimeter of 26 feet. Twice its length is one foot more than three times its width (w). What is
the length of the rectangle, in Thet?
Answer:
The length of the rectangle is 13
Step-by-step explanation:
13 times 2 its equal 26
need help please. Will give you 5-stars and a big thank you comrades
Answer:
first answer
Step-by-step explanation:
(8x³ - 22x² - 4) / (4x - 3)
when you do long division you get the first answer
What is the divisor of 5.2 and 0.052
Answer:
5.2/0.052 is 100, and 100 is 10^2, so the missing divisor is 10^2
Answer:
100
Step-by-step explanation:
5.2/x = 0.052
Since the decimal place moves 2 places to the left from 5.2 to 0.052, the divisor is 100.
5.2/100 = 0.052