Answers
Answer:
y^2(y^4)=y^6
(2y)^2=4y^2
(y/4)^2=y^2/16
2(y^3)^3=2y^9
Step-by-step explanation:
Answers:
\(y^2(y^4) = \boldsymbol{y^6}\\\\(2y)^2 = \boldsymbol{4y^2}\\\\(y/4)^2 = \boldsymbol{y^2/16}\\\\2(y^3)^3 = \boldsymbol{2y^9}\\\\\)
===============================================
Explanation:
For the first expression, we use the rule that \(a^b*a^c = a^{b+c}\). We add the exponents when multiplying exponentials of the same base. So, \(y^2*y^4 = y^{2+4} = \boldsymbol{y^6}\)
-----------
In the second expression, we can expand out \((2y)^2\) into \((2y)*(2y)\). The coefficients 2 and 2 multiply to 2*2 = 4 as the final coefficient. The y terms multiply to \(y*y = y^2\). So overall, that's how \((2y)^2 = \boldsymbol{4y^2}\)
-----------
We use the same idea for the third expression. We'll have two copies of y/4 multiplied together to end up with \(\boldsymbol{y^2/16}\). We have \(y^2\) in the numerator and 16 in the denominator.
-----------
For the fourth expression, we can use the rule that \((a^b)^c = a^{b*c}\). In other words, if we raised \(a^b\) to some other exponent c, then it's the same as writing \(a^{b*c}\). We multiply the exponents.
The exponents in this case are 3 and 3 which multiply to 9. The 2 is then tacked up front to get \(\boldsymbol{2y^9}\)
Related Questions
a class has 10 boys and 12 girls. 3 students are chosen at random to clean the classroom each day. how many unique cleaning teams exist?
Answers
The number of different unique cleaning teams should be 1540.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A class has 10 boys and 12 girls and 3 students are chosen at random.
So, the team of 3 can be chosen as 3 boys, 3 girls, 1 boy 2 girls, and 1 girl and 2 boys and the total teams will be the sum of different combinations which is,
= \(^{10}C_3 + ^{12}C_3 + ^{10}C_1\times^{12}C_2 + ^{12}C_1\times^{10}C_2\).
= (10×9×8)/6 + (12×11×10)/6 + 10×(12×11)/2 + 12×(10×9)/2.
= 120 + 220 + 660 + 540.
= 1540.
learn more about permutation and combination here :
https://brainly.com/question/28720645
#SPJ1
O Q Q
27 i 15
4. If a car is traveling 20' west of straight south, what is its true bearing? Draw a diagram to
show the path of the car. (10.9 Approaching)
5. If a plane is traveling 30" north of straight west, what is its true bearing? Draw a diagram to
show the path of the plane (10.9 Approaching)
Answers
Step-by-step explanation:
straight south is 180°.
so it is 180° 20'.
straight west is 270°.
so, it is 270° 0' 30".
I NEED HELP PLZ ASAP!!!
Answers
Answer:
C is the answer
Step-by-step explanation:
Its hard to explain, but i'm 100% sure.
Answer:
All of them
Step-by-step explanation:
if you look closely at the shame and decipher each option they all come into form for that shape.
Hope Hopes^^
Barry
help? 2+2-8+6-2+9+5-6+6-3+8-1+7-0+8-1+10-2+11+
Answers
Answer:
51
Step-by-step explanation:
2+2 = 4
4 - 8 = -4
-4 + 6 = 2
2 - 2 = 0
0 + 9 = 9
9 + 5 = 14
14 - 6 = 8
8 + 6 = 14
14 - 3 = 11
11 + 8 = 19
19 - 1 = 18
18 + 7 = 25
25 - 0 = 25
25 + 8 = 33
33 - 1 = 32
32 + 10 = 42
42 - 2 = 40
40 + 11 = 51
What is the value of n in the equation ?1/2 (n-4)-3=3-(2n+3)
N=0
N=2
N=4
N=6
Answers
Answer:
n = 2
Step-by-step explanation:
1/2(n-4) - 3=3- (2n+3)
Expand the brackets.
1/2n-2-3=3-2n-3
Add or subtract the like terms.
1/2n-5=-2n
Add 2n and 5 on both sides.
1/2n+2n=5
Add like terms.
5/2n = 5
Multiply both sides by 2/5.
n = 5 × 2/5
n = 10/5
n = 2
Answer:
N=2
Step-by-step explanation:
the price of the four new tires changes from $638 to $523 find the percent of increase or decrease
A.18% decrease
B.18% increase
C. 22% decrease
D 22% increase
Answers
Step-by-step explanation:
To find the percent change in price of the four new tires, we can use the formula:
percent change = (new value - old value) / old value * 100%
Here, the old value is $638 and the new value is $523.
percent change = ($523 - $638) / $638 * 100%
percent change = -$115 / $638 * 100%
percent change = -0.18 * 100%
percent change = -18%
The result is a decrease of 18%, so the answer is A. 18% decrease.
Okay, let's solve this step-by-step:
Original price of 4 tires: $638
New price of 4 tires: $523
To calculate the percent change, we use the formula:
Percent Change = (New Price - Original Price) / Original Price
So in this case:
Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%
Since the new price is less than the original price, this is a decrease.
Therefore, the answer is A: 18% decrease
So the answer is A: 18% decrease
Explain IN WORDS how to determine the equation of a line when you are given two points...
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Explain IN WORDS how to determine the equation of a line when you are given two points.
Step 2:
The answers are as follows:
How to Find the Equation of a Line from Two Points:
1. Find the slope using the slope formula.
\(\begin{gathered} \text{ m = }\frac{y_2-y_1}{x_2-x_1}, \\ \\ \text{where ( x}_1,y_1) \\ and \\ \text{( x}_2,y_2)\text{ are the two pairs of points} \end{gathered}\)2. Use the slope and one of the points to solve for the y-intercept (b).
3. Once you know the value for gradient, m, and the value for b, you can plug these into the slope-intercept form of a line:
\(\text{y = mx + b}\)to get the equation for the line.
Which properties did Denny’s for step one and step two?
Answers
Answer:
the 3rd
Step-by-step explanation:
Because in a addition we can find the solutions of the type of source and the goods.ONLY GIVING BRAINLEST IF YOU ANWSER QUICKLY AND CORRECTLY!
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
A square with a side length of 8 units is shown. A diagonal is drawn with one section shaded inside the figure.
(5 points)
a
fraction 1 over 2 ⋅ 4 ⋅ 4
b
fraction 1 over 4 ⋅ 4 ⋅ 4
c
fraction 1 over 2 ⋅ 8 ⋅ 8
d
fraction 1 over 4 ⋅ 8 ⋅ 8
Answers
Answer C fraction 1 over 2 ⋅ 8 ⋅ 8
The answer is A, but I have absolutely no clue why. plz help I dont get it
Hikers' World Foods sells raisin-nut mix in bulk to stores. The dollar amount per pound, P(x), for a store to purchase x pounds of raisin-nut mix from Hikers World is given by the function below. P(x) = 3.50 + 0.90^x . To the nearest $0.01, which of the following dollar values is equal to the total price for a store to purchase 100 pounds of raisin-nut mix in a single order from Hikers World?
A. $350.00
B. $359.00
C. $440.00
D. $616.00
E. $903.50
Answers
Answer:
A. $350.00
Step-by-step explanation:
The expression for a store to purchase x pounds of raisin-nut mix is;
P(x) = 3.50 + \(0.90^{x}\)
Where: P(x) is the dollar amount per pound, and x is the number of pounds bought.
The total price for the store to purchase 100 pounds can be determined by;
since the pounds of raisin-nut mix to be bought in a single order is 100, then x = 100.
So that;
P(x) = 3.50 + \(0.9^{100}\)
= 3.5 + 0.000026561
P(x) = 3.500026561
Thus to the nearest $0.01, then;
P(x) = \(\frac{3.500026561}{0.01}\)
= $350.0026561
P(x) = $350.00
What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)
questions are:
A) y= 2x + 13.5
B) y= x - 1
C) y= -2x + 1.5
D) y= -2x - 8.5
Answers
Answer:
D
Step-by-step explanation:
Are the triangles congruent? If so, then justify your answer.
Congruent: ASA
Congruent: SAS
Congruent: AAS
Congruent: SSS
Congruent: AL
Not Congruent
Answers
Answer:
sss
hope it helps have a nice day
Can someone help really fast with this question
Answers
The answer that describes the polygon RSTU is as follows:
QuadrilateralTrapezoidHow to find a quadrilateral?A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape RSTU as follows:
The polygon has 4 sides therefore, it is a quadrilateral.
The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.
A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.
Therefore, the shapes that defines the polygon are as follows:
QuadrilateralTrapezoidlearn more on quadrilaterals here: https://brainly.com/question/30364800
#SPJ1
sum of the given polynomials? 3x2,-2x2y,2xy2,4y2,xy2,-y2,2x2y
Answers
I think the answer is 2x2y
I hope this helps
Three relatively prime integers are the sides of a right triangle. if the smallest leg has length 28. Find the sum of all the possible values of the hypotenuse.
Answers
The sum of all the possible values of the hypotenuse is 128.4.
According to the statement
we have given that the Three relatively prime integers are the sides of a right triangle and the smallest leg has length 28.
And we have to Find the sum of all the possible values of the hypotenuse.
So, For this purpose, we know that the
Let us consider a three relatively prime integers which are 29,31,37.
we choose these numbers because we have given that the
the smallest leg has length 28.
And according to the Pythagoras theorem.
we know that the
(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
And let the smallest length be a base.
So , Put the values of the perpendicular in this one by one then
so,
(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
Here Put perpendicular = 29 and base = 28.
Then
(Hypotenuse)^2 = (29)^2 + (28)^2
(Hypotenuse)^2 = 1625
(Hypotenuse) = 40.31
And then
(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
Here Put perpendicular = 31 and base = 28.
Then
(Hypotenuse)^2 = (31)^2 + (28)^2
(Hypotenuse)^2 = 1745
(Hypotenuse) = 41.77
And then
(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
Here Put perpendicular = 37 and base = 28.
Then
(Hypotenuse)^2 = (37)^2 + (28)^2
(Hypotenuse)^2 = 2153
(Hypotenuse) = 46.40
And then
The all possible values of the hypotenuse are 40.31, 41.77, 46.40.
And the sum become is 128.4
So, The sum of all the possible values of the hypotenuse is 128.4.
Learn more about hypotenuse here
https://brainly.com/question/2217700
#SPJ4
Its in the form of a picture
Answers
The slope of UN is solved to be
= -4 / 3How to find the slope of UNThe slope of UN is solved using the points denoting U and N and the points are
U (4, -2) and N (1, 2)
Formula for slope is
= change in y direction / change in x direction
= (-2 - 2) / (4 - 1)
= -4 / 3
The slope of UN is -1 1/3
Learn more about slope at:
https://brainly.com/question/16949303
#SPJ1
(Brainliest for correct) You have decided to buy a Honda Accord LX, but you are concerned about the value of the car depreciating over time. You search the Internet and obtain the following information. The suggested retail price is $20,025. The depreciation per year is $1,385. What is the value of the car in dollars for 1 year of ownership, and how did you get that answer?
Answers
To find the value of the car after 1 year, subtract the amount it depreciates from the value of the car:
20,025 - 1,385 = 18,640
After 1 year the car is valued at $18,640
Answer:
$18640
Step-by-step explanation:
For year 1: Depreciated value is $1385.
We will minus that amount from the actual worth of car i.e. $20,025
So,
= $20,025 - $1385
= $18640
Hope this helps you.
The length of a rectangular flower garden is 4 meters more than its width. The area of the garden is 60 square meters. Find the length of the garden.
Answers
The length of the rectangular flower whose area is 60 sq. meters garden is 10 meters.
Let's assume the width of the rectangular flower garden is x meters. According to the given information, the length is 4 meters more than the width, so the length can be represented as (x + 4) meters.
The area of a rectangle is calculated by multiplying its length and width. In this case, we know that the area is 60 square meters, so we can set up the following equation:
Area = Length × Width 60 = (x + 4) × x
Expanding the equation, we get: 60 = x² + 4x
Rearranging the equation to the standard quadratic form, we have
x² + 4x - 60 = 0
x² + 10x - 6x - 60 = 0
x(x + 10) - 6(x+ 10) = 0
(x - 6)(x+ 10) = 0
x - 6 = 0 or x + 10 = 0
x = 6 or x = -10
we find that the solutions are x = 6 and x = -10. Since the width cannot be negative, we discard the negative value.
Therefore, the width of the garden is 6 meters.
The length, we can substitute the width value into the expression for the length:
Length = Width + 4 = 6 + 4 = 10 meters.
Hence, the length of the garden is 10 meters.
To know more about length click here :
https://brainly.com/question/12298654
#SPJ4
The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers:
74, 56, 64, 57, 64, 40, 55, 64, 59, 67, 50.
Use this data to compute:
The mean, the median, the mode, the range, the variance, the standard deviation, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what information is provided to us about this variable by your answers to: (1) the sample mean and (2) the sample standard deviation.
really need answer to last part that is (1) and (2)
Answers
We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.
The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.
The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.
By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.
Learn more about mean here:
https://brainly.com/question/30112112
#SPJ11
help please!! The measures of the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
61
Step-by-step explanation:
80+39=119
180-119=61
Determine the slope & y intercept for the line shown. Then write the equation of the line. If you hurry I’ll mark you brainliest
Answers
Answer:
y = -3/7x + 1
Step-by-step explanation:
from the first point to the second point it goes down 3 and right 7 so this is your slope
the y intercept is 1
Volume kubus dengan panjang rusuk 2 cm?
Answers
Answer:
8 cm³Step-by-step explanation:
➡️ Volume = r³
➡️ 2³
➡️ 8
= Sisi × Sisi × Sisi
= 2 Cm × 2 Cm × 2 Cm
= 4 Cm × 2 Cm
= 8 Cm .
Maka, volumenya 8 Cm.
-2(-5-3n)+6n=37+3n ?
Answers
Answer:
2- sum the ratio
Step-by-step explanation:
Marianne's ring has a radius of 8mm. She needs to get it resized so that the circumference is 52 mm. How much larger will the new circumference be? Round your answer to the nearest tenth
Answers
Answer:
0.28mm larger
Step-by-step explanation:
Given data
Radius of ring= 8mm
Circumference
C= 2πr
C= 2*3.14*8
C=50.24mm
The resized ring has a circumference of =52 mm
Hence the radius will be
52= 2*3.14*r
52= 6.28r
r= 52/6.28
r= 8.28mm
Hence the resized ring is
8.28-8
=0.28mm larger
Willie makes $0.12 off of every shirt he sells. He sold 179 shirts this week, how much did he make in total?
Answers
Answer:
$21.48
Step-by-step explanation:
0.12*179=21.48
Your grandmother has been putting $5,000 into a savings account on every birthday since your first that is, when you turned one). The account pays an interest rate of 7% How much money will be in the account medialty after your grandmother makes the deposit on your 18th birthday The amount in the account upon your 18th birthday is (Round to the nearest dollar)
Answers
After your grandmother makes a $5,000 deposit on your 18th birthday, the amount in the savings account can be calculated using compound interest. Assuming the account pays an interest rate of 7%, the amount in the account immediately after the deposit can be determined by applying the compound interest formula.
To calculate the amount in the savings account after the deposit on your 18th birthday, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A represents the final amount, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, the initial deposit is $5,000, the interest rate is 7% (or 0.07 as a decimal), and the deposit is made on your 18th birthday, which means the time is 17 years. Since no information is given about the compounding frequency, let's assume it is compounded annually (n = 1).
Plugging in the values into the compound interest formula, we have A = 5000(1 + 0.07/1)^(1*17) = 5000(1.07)^17 ≈ $15,128.
Therefore, the amount in the savings account immediately after your grandmother makes the deposit on your 18th birthday is approximately $15,128, rounded to the nearest dollar.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ11
Your yard is the shape of a trapezoid you go to the store to find fertilizer please help
Answers
your answer is 1725 hope that helped
Identify the transformation from ABCD to A'B'C'D'.
Answers
Answer:
C. Reflection across the y-axis
Step-by-step explanation:
Reflection across y axis= (x,y) to (-x,y) so B (1,2) is now B'(-1,2). Hope this helped!
How many degrees are in one interior angle of a regular octagon?
Answers
Answer:
135
Step-by-step explanation:
this is the formula:
to find the sum of the interor angles of any polygon
180(n-2)
n= the number of sides a polygon has
you can find each indivual angle value or measure by dividing that sum you get by n
Answer:
135 degrees :)
Step-by-step explanation:
calculate the average growth rate from the following growth rates. (round your intermediate calculations at least to 4 decimal places and final answer to 2 decimal places.) 1.50% 1.60% .20% .20% 3.20%
Answers
The average growth rate is 1.34%, which is calculated by the sum of the growth rates divided by the number of growth rates.
To calculate the average growth rate, we need to add up the given growth rates and then divide by the number of growth rates.
1. First, add up the given growth rates: 1.50% + 1.60% + .20% + .20% + 3.20% = 6.70%
2. Next, divide the sum by the number of growth rates: 6.70% / 5 = 1.34%
3. Finally, round the answer to 2 decimal places: 1.34%
Therefore, the average growth rate is 1.34%.
Answer: 1.34%.
To know more about Average Growth Rate, click on the link below:
https://brainly.com/question/28026065#
#SPJ11