Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!
Answer:
a) 3.2 cm
b) 6.25 km
What is this (x^2)^5 times (x^5)^2
Answer:
[tex]x^{20}[/tex]
Step-by-step explanation:
[tex](x^{2} )^{5}[/tex]·[tex](x^{5})^{2}[/tex]
[tex](x^{10} )[/tex] · [tex](x^{10})[/tex]
[tex]x^{20}[/tex]
MY NOTES
ASK YOU
A table of solutions for a linear equation is given below. From the table, determine the x-intercept and the y-intercept of the graph of the equation
x-intercept
(x, y) =(
y-intercept
(x, y) =
х
y
-6
0
(x, y)
(-6, 0)
(-3, 4)
(0,8)
-3
4
0
8
How many terms of the series of - 3+0+3+6+9+...are needed to give a sum of 105?
Answer:
10
Step-by-step explanation:
Remember that the formula for the sum of an arithmetic series is:
[tex]S=\frac{k}{2}(a+x_k)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term of the series.
We essentially want to find k, the number of terms, given that the sum S is equal to 105. So, substitute 105 into our equation:
[tex]105=\frac{k}{2}(a+x_k)[/tex]
To do so, we need to final term x_k. We don't know what it is yet, but that doesn't matter. All we need to do is to write it in terms of k. First, remember that the standard form for the explicit formula of an arithmetic sequence is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the first term, d is the common difference, and n is the nth term.
From our sequence, we can see that the first term is -3.
Also, we can determine that our common difference is +3, since each subsequent term is 3 more than the previous one. -3+3 is 0, 0+3 is 3, 3+3 is 6, and so on.
Therefore, our explicit formula is:
[tex]x_n=-3+3(n-1)[/tex]
Therefore, our final term, x_k, will be if we substitute k for n. So, we can acquire the equation:
[tex]x_k=-3+3(k-1)[/tex]
Now that we know what x_k is, we can substitute that into our original equation:
[tex]105=\frac{k}{2}(a+x_k)[/tex]
Substitute the equation into x_k. Also, let's substitute -3 (our first term) for a. So:
[tex]105=\frac{k}{2}(-3+(-3+3(k-1)))[/tex]
And now, all we have to do is to solve for k.
First, distribute the 3:
[tex]105=\frac{k}{2}(-3+(-3+3k-3))[/tex]
Add within the parentheses:
[tex]105=\frac{k}{2}(3k-9)[/tex]
Multiply both sides by 2. This removes the fraction on the right:
[tex]210=k(3k-9)[/tex]
Distribute. We will get a quadratic:
[tex]210=3k^2-9k[/tex]
So, let's solve for k. Let's divide everything by 3:
[tex]70=k^2-3k[/tex]
Subtract 70 from both sides:
[tex]0=k^2-3k-70[/tex]
Factor. We can use -10 and 7. So:
[tex]0=(k-10)(k+7)[/tex]
Zero Product Property:
[tex]k-10=0\text{ or } k+7=0[/tex]
Solve for k for each equation:
[tex]k=10\text{ or } k=-7[/tex]
-7 doesn't make sense (we can't have -7 terms). Remove that solution. So, we are left with:
[tex]k=10[/tex]
Therefore, the number of terms we have in our series for our sum to be 105 is 10.
And we're done!
(9mn-19^4n) - (8m^2+12m^4n+9mn
Answer:
-19n^4 - 8m^2 - 12m^4n
Step-by-step explanation:
8m^2 + 12m^4n + 9mn
-
19n^4 9mn
------------------------------------------------------------------------
-19n^4 - 8m^2 - 12m^4n
Answer:
The answer is B.) -31m^4n-8m^2
5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?
Answer:
1.5 per hour.
Step-by-step explanation:
By proportion that is 5.4 / 3.6
= 1.5 per hour.
Drag each expression to the correct location on the table. Not all expressions will be used.
Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport
security tax
Match the expressions to their correct meaning for Jennifer.
Answer:
The price of the ticket before tax - P
The amount of tax Jennifer pays- 0.08P
Jennifer's total amount for the ticket- P + 0.08P
Step-by-step explanation:
The price of the plane ticket is P dollars, before airport security tax. Here P is an independent variable.
An airport security tax of 8% is applied to the price of a plane ticket. So, the amount of airport security tax that Jennifer pays is 8% of the cost of her plane ticket, or 0.08P.
To find Jennifer's total amount for the plane ticket, add the price of the ticket before airport security tax and the amount of airport security tax Jennifer pays. So, the total amount of the plane ticket is P + 0.08P.
The table below shows the expressions matched to their meanings.
An expression is defined as a set of numbers, variables, and mathematical operations. Jennifer's total amount for the ticket is P+0.08P.
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.
Given that Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport security tax. Therefore, we can write the expressions as,
The price of the ticket before tax → P
The amount of tax Jennifer pays → 8% of P = 0.08p
Jennifer's total amount for the ticket → Price of ticket + Tax = P + 0.08P
Hence, Jennifer's total amount for the ticket is P+0.08P.
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A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit
Answer:
35:60 times
Step-by-step explanation:
The proportion of time in which the coin land on Heads is 0.58
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Now it is given that,
Number of times coins tossed = 60
Number of times coin landed on Heads = 35
Therefore, the proportion of time in which the coin land on Heads is given as,
Proportion of time the coin land on Heads = Number of times coin landed on Heads/Number of times coins tossed
⇒ Proportion of time the coin land on Heads = 35/60
⇒ Proportion of time the coin land on Heads = 7/12 = 0.58
Thus, the proportion of time in which the coin land on Heads is 0.58
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100 POINT I need answer ASAP WITH WORK PLEASE!!
Answer:
153.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos 40 = x/200
Multiply each side by 200
200 cos 40 = x/200 * 200
200 cos 40 =x
153.20888886=x
To the nearest tenth
153.2 =x
Answer:
AC = 153.2 m.
Step-by-step explanation:
cos(Ф) = adj / hyp
cos(40) = AC / 200
AC = cos(40) x 200
AC = 153.2 m
Colin Davis machine company maintains a general ledger
Step-by-step explanation:
yf.bfz
vcg ,kgu nkkgfgvvxvh
Find the particular solution to ty''-(1+t)y'+y=t^2e^t.
Complete Question
Find a particular solution to [tex]ty''-(1+t)y'+y=t^2e^t , t > 0[/tex]
[tex]y_1 = 1 + t , \ y_2 = e^t[/tex]
Answer:
The solution is [tex]y_p = -e^{2t} + t + \frac{3t^2}{2} + \frac{t^3}{2}[/tex]
Step-by-step explanation:
Now the given equation is [tex]ty''-(1+t)y'+y=t^2e^t , t > 0[/tex]
dividing through by t
We have
[tex]y'' - \frac{1 + t }{t}y' + \frac{1}{t} y = te^t \\\\ let's\ call\ it \ g(t)[/tex]
Now for the given initial value we can generate our Wronskian as follows
[tex]W(y_1 ,y_2) = | \left y_1} \atop {y_1'}} \right. \left y_2} \atop {y_2'}} \right | = | \left {(1 + t)} \atop {1}} \right. \left e^t} \atop {e^t}} \right | = (1 + t )e^t - e^t = te^t[/tex]
Now applying method of variation of parameters to obtain the particular solution
So here we assume that
[tex]y_p = v_1 y_1 + v_2 y_2[/tex]
So
[tex]v_1 = - \int\limits {\frac{y_2 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{e^t te^t}{te^t} } = - \int\limits { e^t} } = -e^t[/tex]
And
[tex]v_2 = - \int\limits {\frac{y_1 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{(1 + t) te^t}{te^t} } = - \int\limits (1 + t) = t + \frac{t^2}{2}[/tex]
So
[tex]y_p = -e^t * e^t + t + \frac{t^2}{2} * 1 + t[/tex]
[tex]y_p = -e^{2t} + t + \frac{3t^2}{2} + \frac{t^3}{2}[/tex]
Pleaseee. helpppl
Find the most important variable in the problem.
There are 13 fish in an aquarium. Seven of the fish are guppies. How many
non-guppies are in the aquarium?
A. the total number of fish
B. the number of guppies
c. the number of non-guppies
Answer:
C. the number of non-guppies
Step-by-step explanation:
The number of non-guppies is the only variable the other two options have defined values.
Answer:
C, The number of non- guppies is the most important variable.
Step-by-step explanation:
The answer is the unknown variable that you're trying to find and the entire problem is to help you find the unknown.
3x + 1 = 5X-13 if anyone knows what to do can they please help
Answer:
x = 7
Step-by-step explanation:
First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).
If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.
I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.
3x -3x +1 = 5x -3x -13
1 = 2x -13 . . . . . . . . . . . . combine like terms
Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:
1 +13 = 2x -13 +13
14 = 2x . . . . . . . . . . . . combine like terms
Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.
(1/2)(14) = (1/2)(2x)
7 = x . . . . the solution
__
It is generally a good idea to check your work by seeing if your solution value satisfies the equation:
3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation
21 +1 = 35 -13
22 = 22 . . . . . . x = 7 is the solution
_____
Additional comment
By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...
-2x +1 = -13
Subtracting 1 would give
-2x = -14
and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.
For the given linear function, what are the slope and y-intercept?
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
I had this question not to long ago and got it right
sound travels 1129 feet per second air. how far can sound travel in 2 seconds when traveling through hair
Answer:
Sound travels 2258 feet in 2 seconds while travelling through air.
Step-by-step explanation:
1:
2
3
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the
machine she is playing costs $0.75 per game. Lisa started with $12, and the machine
she is playing costs $0.50 per game. After how many games will the two girls have
the same amount of money remaining?
Answer:
After 12 games.
Step-by-step explanation:
Deanna's money after playing 12 games =
15 - (0.75 × 12) = 6$
Lisa's money after playing 12 games =
12 - (0.50 × 12) = 6$
Y varies directly as x. If x=7 then y = 56. Find ybwhen x=3
When something varies directly as something else, their ratio of change always stays the same.
56 / 7 = 8
Therefore,
8 * 3 = 24
If x = 3 then y = 24
Find f '(a). f(x) = 1 − 2x
Which of the following is equal to 20x + 8y - 80?
A. 3x + y - 10
B. 5x+2y-20
c. 4(5x + 2y - 20)
D. 4(5x + 2y – 40)
E. 4(5x + 8y - 20)
HELP PLEASE MY WORK HAS TO BE DUE IN A FEW MINUTES PLEASE HELP
Given: 2/3 every 30 seconds
If we cut 2/3 in half, we get 1/3. This would also mean we cut the time in half 30 / 2 = 15 seconds
Therefore, 1/3 of the length every 15 seconds.
15 + 15 + 15 = 45 seconds to go the full length of the path
In Exercises 37– 40, BD ⃗ bisects ∠ABC. Find m∠ABD,
m∠CBD, and m∠ABC.
Answer:
37, ABD = CBD = 44 degrees, and ABC = 88 degrees
38. ABD = CBD = 24 degrees, and ABC = 48 degrees
39. ABD = CBD = 65 degrees, and ABC = 130 degrees
40. ABD = CBD =67 degrees, and ABC = 134 degrees
Step-by-step explanation:
Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:
37.
6 x + 14 = 3 x + 29
3 x = 19 - 14 = 15
x = 15/3
x = 5
then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees
CBD must equal ABD , so CBD = 44 degrees
And the total angle ABC = 88 degrees
38.
3 x + 6 = 7 x - 18
24 = 4 x
x = 24/4 = 6
Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees
39.
- 4 x + 33 = 2 x + 81
- 6 x = 81 - 33
-6 x = 48
x = - 48/6
x = -8
Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees
The also CBD = 65 degrees, and ABC = 130 degrees
40.
8 x + 35 = 11 x + 23
35 - 23 = 11 x - 8 x
12 = 3 x
x = 12/3
x = 4 degrees
Therefore:
ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.
Then also CBD = 67 degrees, and ABC = 134 degrees
Find tan(13pi/4)-cos(pi/3)
Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Step-by-step explanation:
To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.
[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.
[tex]\frac{-0.5}{-0.5} =1[/tex]
Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].
[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Now that we know the values of both, we can directly subtract them.
1-0.5=0.5
Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].
simplify the following expression 2x cubed y cubed over 4y squared
3xcubed y to the fifth over 2
Eliana has $2600 to invest for 6 months. If she needs the money to earn $104 in that time, at what rate of simple interest must Eliana invest?
What equation would I use to solve this?
Answer:
8%
Step-by-step explanation:
I=Pr
104=2600*r/2
r/2=104/2600
r=(104/2600)(2)
r=0.08=8%
Eliana must invest at a rate of 0.33% of simple interest to earn $104.
Given,
Eliana has $2600 to invest for 6 months.
If she needs the money to earn $104 in that time.
We need to find at what rate of simple interest must Eliana invest.
What is the formula for simple interest?It is given as:
SI = PRT / 100
P = principal amount
R = rate
T = time in years.
Find the rate of interest.
We have,
Simple interest = PRT / 100
SI = $104
T = 6 months
Convert it into years.
12 months = 1 year
6 months = 6/12 years
T = 1/2 years
$104 = ($2600 x R x 1/2) / 100
104 = (2600 x R x 1/2) / 100
100 x 104 = 2600 x R x 12
R = (100 x 104 ) / (2600 x 12)
R = 104 / 312
R = 0.33 %
Thus the rate of simple interest is 0.33%
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Find the inverse.
f(x) = 3x+28
Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]
Interchange the variables [tex]x[/tex] and [tex]y[/tex]
[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]
Can anyone help with this question
Which number is not in the solution set of X - 6 > 10?
A) 14
B) 17
C) 20
D) 23
Answer:
A) 14
Step-by-step explanation:
x - 6 > 10
Add 6 to both sides.
x > 16
The solution is all numbers greater than 16.
In the choices, only 14 is less than 16.
Answer: A) 14
Answer:
a
Step-by-step explanation:
x-6 [tex]>[/tex] 10
14-6 [tex]>[/tex]10
8 is less than 10
The zeroes of the function are
The answer is -2 , 0, and 4
which of the following pairs consists of equivalent fractions 9/24 and 21/56?
Answer:
3/8
Step-by-step explanation:
if u simplify you get half then add them the bigger dinominator is the bottom so only add the tops
-3(-5)+7y=5(-5)+2y solve for y
Answer:
-2
Step-by-step explanation:
-15+7y=-25+2y
7y-2y=-25+15
5y= -10
5y/5= -10/5
y= -2
Answer:
y= -17/5 or -3.4
Step-by-step explanation:
-8+7y= -25+2y
5y= -17
y= -17/5 or -3.4
If 25% of a number is 30, then what is 40% of the same number?
Divide 30 by 25% to find the full amount:
30/0.25 = 120
Now multiply the full amount by 40%:
120 x 0.40 = 30