Answer:
[tex]\huge\boxed{-y^2+2y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y[/tex]
Used:
[tex]a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}[/tex]
Find the exact value.
[tex]\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}[/tex]
Fill in the blank f(x)=2x+1, then f(___)=13
Answer:
if f(x)=2x+1 then insert 6 in x
f(6)=2*6+1
f(6)=13
so the answer is 13
A U.S. citizen invested a $1200 government stimulus check they received on March 1, 2020,
into stocks that grew with an annual percentage rate of 20.2%, compounded continuously.
How much are these stocks worth 9 months later on December 1, 2020? Round to two
decimal place accuracy. (Hint: 9 months = 0.75 years)
The stocks are worth $ 1396.29 nine months later.
Using the continuous compounding formula,
[tex]A = Pe^{rt}[/tex] where
A = final amount of stocks P = initial amount of stocks = $1200, r = compounding rate = 20.2 % = 0.202 t = 9 months = 0.75 yearsSubstituting the values of the variables into the equation, we have
[tex]A = Pe^{rt}[/tex]
[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]
So, the stocks are worth $ 1396.29 nine months later.
Learn more about continuous compounding here:
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I NEED HELP PLEASE 15 POINTS
13) Given that m∠EFJ = 70°, find m∠KFG. A) 10° B) 20° C) 30° D) 40°
Answer:
20°
Step-by-step explanation:
∡EFJ = 70°
∡JFK = 90°
So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°
Answer:
60
Step-by-step explanation:
i put 30 then it said the answer was 60
Jenny does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 10 hours. She spends at most 12 hours doing cardiovascular work. She spends at most 7 hours on weight training. Let x denote the time (in hours) that Jenny spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
Check the picture below. Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.
Which fractions are equivalent to the fraction below? Check all that apply.
3/4 ??
Answer:
hi there !
The answer is "30/40"
because by dividing each nominator and denominator by "10" it gives 3/4
what is cubic spline?
Answer:
Here is your answer
Step-by-step explanation:
A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.
Answer:
A cubic spline is a spline constructed of piecewise third-order polynomials in which pass through a set of control points. __________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
What are the coordinates of the focus of the conic section shown below?
x^2+6x-4y+5=0
Answer:
The coordinates of the focus are [tex](-3,0)[/tex]
Step-by-step explanation:
The general equation for any conic section is [tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex] where [tex]A[/tex], [tex]B[/tex], [tex]C[/tex], [tex]D[/tex], [tex]E[/tex], and [tex]F[/tex] are constantsIf [tex]B^2-4AC<0[/tex], the conic section is either a circle or ellipseIf [tex]B^2-4AC=0[/tex], the conic section is a parabolaIf [tex]B^2-4AC>0[/tex], the conic section is a hyperbolaSince [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.
The standard form equation for a parabola is [tex](x-h)^2=4p(y-k)[/tex]Vertex is [tex](h,k)[/tex]Focus is [tex](h,k+p)[/tex]Directrix is [tex]y=k-p[/tex]Vertical axis is at the line [tex]x=h[/tex][tex]p\neq 0[/tex]Convert general form into standard form by completing the square:
[tex]x^2+6x-4y+5=0[/tex]
[tex]x^2+6x+5=4y[/tex]
[tex]x^2+6x+9=4y+4[/tex]
[tex](x+3)^2=4(y+1)[/tex]
Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].
In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].
How do we graph y+6=45(x+3)?
Answer:
.....,....................
I want a way to solve this question
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .
What step is missing from this proof?
A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.
Answer:
by the definition of congruence.
Step-by-step explanation:
for plato
What does the transformation f(x)↦f(x+5)–1 do to the graph of f(x)?
Answer:
Every f(x) shall decrease to 5 times the previous value.
f(x)=3x-1 and g(x)=-2x+5
Answer:
Step-by-step explanation:
Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.
Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.
(x+2) (x+10) - (x-5) (x+4).put value of x= -3(-3+2) (-3+10) - (-3-5) (-3+4).-1 x 7 -(-8) x 1(-7) -(-8)-7+81Answer:
the result is -9
Hope this helps
Please mark brainlest
how to fix my calculator please help meee i cuold not fix it plsss what to do
so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.
Answer:
by a new one?????
Step-by-step explanation:
HELPPPPPPPPLSSSSS FASTTTUTS A TEST
Hope you could get an idea from here.
Doubt clarification - use comment section.
Malcom and his sister ran 3 races. Their distances are shown below.
Race Malcom's / Sister Distance
1. 10 yards 300 inches
2. 18 feet 180 inches
3. 120 inches 5 feet
Who can run the farthest? How do you know? Use the lines and space below to
prove your answer.
======================================================
Explanation:
Race 1
Let's convert Malcom's distance to inches so we can compare his distance to his sister's.
1 yard = 3 feet
10 yards = 30 feet (multiply both sides by 10)
1 foot = 12 inches
30 feet = 360 inches (multiply both sides by 30)
In Malcom's first race, he ran 360 inches. He has run the furthest compared to his sister who ran 300 inches.
------------------------
Race 2
Convert Malcom's distance from feet to inches.
1 foot = 12 inches
18 feet = 216 inches (multiply both sides by 18)
Malcom runs 216 inches compared to his sister's distance of 180 inches. Malcom is the winner again.
------------------------
Race 3
120 inches = 120/12 = 10 feet
Divide by 12 to convert from inches to feet, or you could have these steps
12 inches = 1 ft
120 inches = 10 feet
after multiplying both sides by 10.
Malcom runs 10 feet compared to 5 feet which his sister runs.
In each race, Malcom has ran the furthest.
How do you write 1.75 trillion, 1.75 quadrillion
Answer:
1) 1750000000000
2) 1750000000000000
Step-by-step explanation:
For definition of trillion and quadrillion.
Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.
Pedro has $13.65 in his wallet left.
How to find money in Pedro's wallet?Pedro had $14.90 in his wallet.
He spent $1.25 on a drink.
How much does he have left: 14+90 - 1.25 = 13.65
Pedro has $13.65 in his wallet left.
The difference is $1.95.
Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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the marked price of a table fan is Rs 1400 and 10% discount is allowed on it. Find it's cost with 15%VAT.
Answer:
marked price=1400
discount=10%
VAt= 15%
selling price=?
Now
we know that,
sp= mp - discount%of mp
1400- 10% of 1400
1400 - 10÷100* 1400
1400
Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x
Answer:
32/60
Step-by-step explanation:
because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)
numerator: 8*4=32
denominator: 15*4=60
final equivalent fraction: 32/60
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
Help help help math math help
x = 27
Step-by-step explanation:
The two angles shown are called co-exterior angles and by definition, their sum is equal to 180° so we can write
[tex](3x - 3) + (4x - 6) = 180[/tex]
[tex]\Rightarrow 7x - 9 = 180[/tex]
Simplifying this further, we get
[tex]7x = 189 \Rightarrow x = 27[/tex]
An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current
The current flowing in the AC circuit is 0.11 A.
The given parameters:
Voltage in the circuit, V = 60 VResistance, R = 500 ohmsInductive reactance, Xl = 220 ohmsFrequency, f = 1000 HzThe impedance of the circuit is calculated as follows;
[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]
The current in the AC circuit is calculated as follows;
[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]
Thus, the current flowing in the AC circuit is 0.11 A.
Learn more about AC circuit here: https://brainly.com/question/14341432
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP ME
Answer:
you are in the 45 and 56 zone so yes
Step-by-step explanation:
List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Answer:
<N=<T
<P=<Q
<O=<R
<M=<S
Step-by-step explanation:
they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
Need help pls! Answer asap
Answer:
1. 50
2. 130
Step-by-step explanation:
If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.
Therefore, resulting in number 2 being equal to angle 3.
If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.
A circle has a degree of 360, so we minus 260 from the 360.
We would get 100, so we divide it by 2.
Thus, angle 1 would be equivalent to 50.
Hope this makes sense :)
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
100 points on the line
Answer:
x = 7 & y = 8
Step-by-step explanation:
We know that
Mean = Sum of terms/Total terms
=> Mean = 4 + 6 + x + y + 10/5
=> Mean = 20 + x + y/5
Now,
Median = (n + 1)/2
=> Median = (5 + 1)/2
=> Median = 6/3
=> Median = 3rd term = x
So,
x = 20 + x + y/5
x × 5 = 20 + x + y
5x = 20 + x + y
5x - x = 20 + y
4x = 20 + y
Since x and y are in order so,
Possible outcomes will be 7,8 & 9
(7,8) & (8,9) & (7,9)
Taking x = 7 and y = 8
4(7) = 20 + 8
28 = 28
Hence,
x = 7 and y = 8
Answer:
y=7 x=8
Step-by-step explanation: hope you do well in school
If I have a 1/4 chance of winning a bet, but lose it 40 times in a row, what percentage chance is that?