Answer:
[tex]y^{-9}\neq \dfrac{1}{y^{-9}}[/tex]
Step-by-step explanation:
Tyler simplified the expression: [tex]x^{-3}y^{-9}[/tex] as shown below:
[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{-9}}=\dfrac{1}{x^3y^{-9}}[/tex]
We notice that in Tyler's work:
[tex]y^{-9}= \dfrac{1}{y^{-9}}[/tex]
Whereas, the correct form would have been:
[tex]y^{-9}= \dfrac{1}{y^{9}}[/tex]
Making our solution:
[tex]x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{9}}=\dfrac{1}{x^3y^{9}}[/tex]
what is the sum of this arithmetic series? 586+564+542+...+212
Answer:
Basically it's asking for the sum of 212 + 216 + 220 + ..... 586
Each number is 22 more than the previous one.
Therefore the sum will be 212 + (212+22) + (212+22*2) + (212+22*3)
the amount of numbers from 212 through 586 is 18.
Therefore we will need 212 plus 212 * 17 = 3,816 *******************
We will also need all those 22's.
We must add 22 *1 plus 22*2 plus 22*3 ..... plus 22*17
Which equals 22 + 44 + 66 + 88 ... 374
Which totals 3,366 *****************
So, we total 3,816 + 3,366 which equals 7,182
Step-by-step explanation:
[tex]\displaystyle\bf\\Sum=586+564+542+...+212\\\\Sum=212+234+256+...+586\\\\\textbf{We calculate the number of terms (n):}\\\\n=\frac{586-212}{22}+1=\frac{374}{22}+1=17+1=18\\\\\boxed{\bf~n=18~terms}\\\\Sum=\frac{n(586+212)}{2}\\\\Sum=\frac{18\times 798}{2}\\\\Sum=9\times798\\\\\boxed{\bf~Sum=7182}[/tex]
The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40 cm? Write an equation relating the volume of a cube, V, and an edge of the cube, a. nothing Differentiate both sides of the equation with respect to t. StartFraction dV Over dt EndFraction equals(nothing )StartFraction da Over dt EndFraction (Type an expression using a as the variable.) The rate of change of the volume is nothing cm cubed divided by sec. (Simplify your answer.)
Answer:
Step-by-step explanation:
Let the edge of the cube be a .
Given
[tex]\frac{da}{dt} = 2 cm/s[/tex]
Volume V = a³
[tex]\frac{dV}{dt} = 3a^ 2\frac{da}{dt}[/tex]
= 3a² x 2
= 6a²
If a = 40 cm
[tex]\frac{dV}{dt} = 6 \times 40\times40[/tex]
= 9600 cm³/s .
Suppose you invest $50 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account after 2 years?
A: 2001.29
B: 751.29
C: 1954.13
D: 1536.19
Solution:
use formula P[((1+(r/n)^(nt))-1)/(r/n)]
Solution 50[((1+(0.48/12)^(2 x 12))-1)/(0.48/12)]
= C $1954.13
It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.
How to solve future value?To solve this we are going to use the formula for the future value of an ordinary annuity:
[tex]P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}][/tex]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the number of years
It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
r = 48% = 0.48
n = 12
Let's put the values in our formula:
[tex]P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\\\\50[(\frac{(1+(0.48/12)^{12\times 3}-1)}{(0.48/3)}]\\\\$1954.13[/tex]
Thus, We can conclude that after 2 years you will have $1954.13 in your account.
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What is the amplitude of y=3sin(2x−1)+4?
Answer:
3
Step-by-step explanation:
Amplitude is the number in front of the sin or the number multiplied by the whole equation. In this case its 3
Which measurement is equal to 6 kilograms
Answer:13.2277
Step-by-step explanation:
Did it on iready
Answer:
6000
Step-by-step explanation:
Which statement is true?
(table included and answers)
Answer:
b
Step-by-step explanation:
i think the answers b
There are 3 white marbles and 7 blue marbles in a bag. Hannah will randomly pick a marble out of the bag. What is the probability of Hannah picking a blue marble?
Question 2 options:
1
3/10
7/10
1/2
7 blue marbles and 10 total marbles.
Picking blue would be 7 blue/ 10 total = 7/10
Micah is filling up his cone-shaped cup with water. The cup (as shown) has a diameter of 72 millimeters and a slant height of 45 millimeters. How much water can Micah fill in his cup?
Answer:
Micah can put 61072.56 ml³ of water in his cup.
Step-by-step explanation:
The volume of a cone is given by the following formula:
[tex]V = \frac{h\pi r^{2}}{3}[/tex]
In which h is the height and r is the radius.
The radius is half the diameter.
In this question:
Radius of 72/2 = 36 ml. So [tex]r = 36[/tex]
Height of 45 ml, so [tex]h = 45[/tex]
The dimensions are in ml, so the volume will be in ml³.
So
[tex]V = \frac{h\pi r^{2}}{3}[/tex]
[tex]V = \frac{45\pi*(36)^{2}}{3}[/tex]
[tex]V = 61072.56[/tex]
Micah can put 61072.56 ml³ of water in his cup.
Answer:
The answer is 11664pimm^3
Step-by-step explanation:
plz answer fast and i will mark the branliest
Answer: 49
Step-by-step explanation:
[tex]-11\frac{2}{3}*-4\frac{1}{5}[/tex]
The first thing we are going to do is to convert to an improper fraction. To do this, you take the whole number, you multiply it by the denominator and add the numerator; all over the same denominator.
[tex]-\frac{11*3+2}{3}*-\frac{4*5+1}{5}[/tex]
Solve;
[tex]-\frac{33+2}{3}*-\frac{20+1}{5}[/tex]
[tex]-\frac{35}{3}*-\frac{21}{5}[/tex]
Now you can simply multiply numerators and denominators. Also, remember the negative signs which become positive because -*-=+
Before multiplying, it's easier to solve fractions that are being multiplied if you simplify them.
35 and 5 can be simplified.
35/5=7
5/5=1
21 and 3 can be simplified.
21/3=7
3/3=1
Leaving our multiplication as:
[tex]-7*-7[/tex]
49
The scale for this drawing is 3 in. = 8 ft. On the drawing, the length of the kitchen measures 7 in. What is the length of the actual Kitchen? Round your
answer to the nearest foot.
Answer:
19 feet
Step-by-step explanation:
First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:
3 inches * 1 foot / 12 inches = 0.25 feet
Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:
7 inches * 1 foot / 12 inches = 0.583333
Now, we calculate the number of actual feet using the scale.
0.583333 * 8 / 0.25 = 18.66 feet
that is to say that the length of the current Kitchen is 19 feet if we round
Math question please help
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried
mangoes costs $3.00. Jonas plans to have 7 snacks per day and can spend up to $45.00.
If p is the number of energy bars he can buy, and m is the number of bags of mangoes he can buy,
which system of equations and inequalities can be used to represent the possible number of each
snack he can buy?
p+m
21
=
21
p+m = 45
1.5p + 3m
p> 0
m >0
1.5p + 3m < 45
p> 0
m 2 0
1.5p + 3m
3p + 1.5m
p20
m 20
p+m = 21
8p + 1.5m
p> 0
m >0
Answer:
P+m=21
1.5p + 3m < 45
p > 0
m > 0
Step-by-step explanation:
Length of rectangle is three times bigger than the width. Area of rectangle is 27. A) find width of rectangle B) find length of rectangle C) find perimeter of rectangle.
What is the answer? I need help to solve it.
Answer:
Length: 9
Width: 3
Perimeter: 24
Step-by-step explanation:
First you can set up a few equations. You know that L x W is your area, or 27.
L * W = 27
Then you also know that your length is equal to three times the width.
L = 3W
So you can substitute L into the first equation to solve for W.
3W * W = 27
3W^2 = 27
W^2 = 9
W = 3
Then you can plug 3 into either equation to solve for your length.
L = 3(3)
L = 9
Then your perimeter is just 2L + 2W
2(9) + 2(3) = 24
Answer:
Step-by-step explanation:
Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W. A = area of rectangle = L * W. Finally, L = 3W.
Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or
W^2 = 9 units^2, or W = 3 units. Then L = 3W = 3(3 units) = 9 units.
The length of the rectangle is 9 units. See above.
The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.
12. Karen needs to spend at least $100 at a clothing store in order to receive 20% off her total purchase. So far she has spent $78 and she wants to spend the rest on new pairs of socks that cost $5.50 each. Write and solve an inequality to determine n, the number of socks Karen needs to buy in order to receive 20% off her total purchase.
Pick the Answer In the picture
Answer:
The answer would be the first one.
Step-by-step explanation:
5.50 x n which n=4 so its actually 5.50 x 4 which equals 22 then you add the 22 to the 78 to get the result of exactly 100 dollars.
Simplify the expression 2.5(8.7 + 4.6 )
Answer:
33.25
Step-by-step explanation:
2.5*8.5+2.5*4.6
21.5+11.5
33.25
If f(x)=9x+2, What is the value of the function when x=4?
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
1) 38
2) 3
Step-by-step explanation:
f(x)=36+2
f(x)=38
29=9x+2
27=9x
x=3
Question: What is the value of the function at x=−2?
Answer: y=2
Step-by-step explanation: I took the test.
*THIS IS THE CORRECT ANSWER. PLEASE DON'T ANSWER 3. IT IS WRONG!*
A slice of cake is a sector of a cylinder. The volume of the piece of cake is ______________cm3
Answer:
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Volume of piece of cake = 196.42 cm³
Step-by-step explanation:
Given:
Shape of cake = cylinder
Find:
Volume of piece of cake = ?
Computation:
Volume of cake = [tex]\pi[/tex]r²h
So,
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Where,
[tex]\theta\\[/tex] = Angle of cake cut
r = radius of cake
h = Height of cake
[tex]Volume\ of\ piece\ of\ cake =\frac{30}{360}(\frac{22}{7})(10)^2(7.5) \\\\Volume\ of\ piece\ of\ cake = 196.42[/tex]
Volume of piece of cake = 196.42 cm³
Use the diagram to find the indicated angle measures.
m<1= degrees
m<2= degrees
m<3= degrees
Please help !
Answer:
Step-by-step explanation:
its m<2=degrees
Answer:
m∠1 = 131
m∠2 = 49
m∠2 = 112
Step-by-step explanation:
Which of the following represents a function?
Answer:
see below
Step-by-step explanation:
A graph is a function if any vertical line intersects points on the graph only once. The graph of A is a function.
__
Ordered pairs represent a function if no x-value is repeated. In the list of B, the x-value -1 shows up twice. The list of B is not a function.
__
As with ordered pairs, a table represents a function if no x-value is repeated. In the table of C, the x-value 3 shows up twice. The table of C is not a function.
__
A mapping diagram represents a function if each x-value is only mapped to one y-value. In the map of D, the x-value 3 is mapped to two different y-values. The map of D is not a function.
Answer:D
Step-by-step explanation:
PLEASE HELP MEE :)
40 POINTS
WILL MARKE BRAINLIEST
Which would be the best name for a
function that takes the time spent
heating a kettle and returns the
temperature of the kettle?
Both of possible:-))
Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per cubic centimeter.
What formula you would you use to find the density of the paperweight?
How much does the paperweight weigh?
Answer:
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]
The paperweight weights 300 grams.
Please open the image and help me
3.
[tex]y=\sec^3x+\cot^2(2x)[/tex]
Use the chain rule:
[tex]y'=(\sec^3x)'+(\cot^2(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x)'+2\cot(2x)(\cot(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x\tan x)-2\cot(2x)\csc^2(2x)(2x)'[/tex]
[tex]y'=3\sec^3x\tan x-4\cot(2x)\csc^2(2x)[/tex]
4.
[tex]y=\sin(cos(3x))[/tex]
Same as before:
[tex]y'=(\sin(\cos(3x)))'[/tex]
[tex]y'=\cos(\cos(3x))(\cos(3x))'[/tex]
[tex]y'=-\cos(\cos(3x))\sin(3x)(3x)'[/tex]
[tex]y'=-3\cos(\cos(3x))\sin(3x)[/tex]
If a zero is
then the graph of its function only touches the x-axis at that zero.
Ifa zero is
then the graph of its function crosses the x-axis at that zero.
Answer: The first one is of even multiplicity and the second one is of odd multiplicity.
Answer:
even
odd
Step-by-step explanation:
Find the sum of the geometric series 1−0.99+0.99^2−0.99 ^3 +...−0.99
Answer:
0.28
Step-by-step explanation:
The sum of the geometric value progression is S = 0.28
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the sequence be A = { 1 - 0.99 + 0.99² - 0.99³... - 0.99⁷⁹ }
So , A = 1 - { 0.99 - 0.99² + 0.99³... + 0.99⁷⁹ }
Let the first term of the GP be a₁ = 0.99
Now , the common ratio of GP , r = 0.99
And , the number of terms in GP = 80
And , Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
On simplifying , we get
S₈₀ = 0.99 ( 1 - 0.99⁸⁰ ) ( 1 - 0.99 )
On further simplification , we get
S₈₀ = 0.7224
So , the sum of the GP is S = 1 - S₈₀ = 0.28
Hence , the sum of GP is 0.28
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Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8? Angle4 and Angle12 Angle2 and Angle10 Angle6 and Angle14 Angle3 and Angle9
Answer:
Angle 6 and Angle 13
Step-by-step explanation:
Because they are both parallel.
And they intersect at a given line.
Also cut by two transversals.
The angles that are corresponding angles with angle 8 are; Angles 6 and 14
How to find corresponding angles?
Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.
Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;
angles 6, 14, 16.
Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.
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Discuss how these two branches of statistics will provide different capabilities and impacts in your engineering discipline. Provide an example of an area where you might use descriptive statistics to better understand a variable, as well as an example of an area where inferential statistics might be needed to draw some conclusion from a set of variables data that you have. Do you see both descriptive and inferential statistics being necessary for your future success as an engineer? Explain your reasons for that opinion.
Answer:
Key Differences Between Descriptive and Inferential Statistics:
The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:
Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.
Descriptive Statistics collects, organises, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.
There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.
Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.
Descriptive statistics explains the data, which is already known, to summarise sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :
"80% of these people have the last name Nicolussi."
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :
"80% of all people living in Italy have the last name Nicolussi."
We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.
You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble?
Answer:
7/7
Step-by-step explanation:
Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)
A number increased by 11 is equal to twice the number decreased by 12
Answer: 10
Step-by-step explanation:
A 6-sided die is rolled three times. What is the probability of rolling a 4 each time?
A 0.00463
B. 0.99537
C 0.16667
D. 0.00231
Answer:
a
Step-by-step explanation:
math
The diagram shows a logo made from three circles
Answer:
3cm+2cm+5cm=10cm
%=100
10*10=100
2cm*10=20%
Step-by-step explanation:
the shaded area is width of 2 2/10 or 20/100
Answer:
33%
Step-by-step explanation:
for if u want to do it 4cm then
4+3+3=10
100π cm^2
49π cm^2
16π cm^2
49π - 16π = 33π
33/100 =33%
