Answers
Answer:
1. [tex]\frac{x^2}{y^8}[/tex]
2 a) [tex]\frac{-49}{2}[/tex]
b) 0
3. x = 10
Step-by-step explanation:
1.
[tex](\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}[/tex]
2. a)
[tex]2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}[/tex]
b)
[tex]-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0[/tex]
3.
[tex]\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10[/tex]
Related Questions
Last summer Myrtle, worked 45 hours and earned $443.70. She wanted to make at least $550 this summer. Using an inequality, find how many additional hours must she work in order to reach this goal?
Answers
Answer:
11 hours
Step-by-step explanation:
Using an inequality, find how many additional hours must she work in order to reach this goal?
From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤
Hence,
Let the number of additional hours = h
Last summer Myrtle, worked 45 hours and earned $443.70.
The amount she earned per hour = $443.70/45
= $9.86
Our inequality equation is written as;
She wanted to make at least $550 this summer.
$9.86 × h ≤ $550
= 9.86h ≤ 550
h = 550/9.86
h = 55.780933063 hours
Approximately the additional hours she has to work =
55.780933063 - 45 hours
= 10 .780933063 hours
Approximately = 11 hours
i really need help school end trw and i have 1 question till i am done but i dont know what it is PLEASE HELP FAST
1+1+3
Answers
Answer:
5
Step-by-step explanation:
Answer:
1+1+3=5
Step-by-step explanation:
you have three dogs and you get another dog. You now have 4 dogs. You get yet another dog so now you have 5.
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answers
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
To learn more about parabola click :
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A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
What is the experimental probability of the arrow stopping over Section 1?
128
720
713
45
Section 1 Section 2 Section 3
28 36 16
Answers
Answer:
7/20Step-by-step explanation:
Frequency of Section 1 is 28 and total number of frequencies is 80.
P(Section 1) = 28/80 = 7/20Answer:
the frst person id wight!
Step-by-step explanation:
Find the derivative of f(x) = 6 divided by x at x = -2
Answers
Answer: x=-3
Step-by-step explanation:
i don't really know if this is what I was supposed to do, but i did 6 divided by x=-2 and got x=-3
HELP: What is the surface area?
Answers
Answer:
Step-by-step explanation:
surface area=(a+b+c)*h
=(5+5+6)*5
=16*5
=80 cm^2
10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answers
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
PLEASE ANSWER THIS
. . .
please
ΔΔ
U
Answers
Answer:
58
Step-by-step explanation:
The center line in a box plot represents the median
Trying to find the surface area and can not get the answer.
Answers
Answer:
Hi there user! I'll help you!
96 should be the correct answer!
Step-by-step explanation:
4 x 3 = 12
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
12 + 28 + 35 + 21 = 96
Which expression is equivalent to 4f2/3 ÷ 1/4f ?
Answers
Answer:
[tex] \frac{16 {f}^{3} }{3} [/tex]Step-by-step explanation:
[tex] \frac{4f^{2} }{3} \div \frac{1}{4f} [/tex]
[tex] \frac{4 {f}^{2}}{3} (4f)[/tex]
[tex]4 \frac{4 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{3} }{3} [/tex]
Hope it is helpful....Find the range of the function f(x)=x2+5 given the domain (-2,-1,0,1,2)?
Answers
Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answers
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
Write three ratios equal to 7/42
A. 7/42 7/49 7/56
B. 1/7 2/14 3/21
C. 2/10 3/15 4/20
D. 1/6 2/12 3/18
whoever does it i will give brainiest answer pls help
Answers
lmk if it’s right :)
find the exact value given that sin A= -4/5 with A in quadrant IV, tan B=7/24 with b in quadrant III, ; cos C= -5/13 with c in quadrant II
Answers
Answer:
A= 306,87°
B= 196,26°
C= 112,62
Step-by-step explanation:
sinA =-4/5
A = -53,24°
A = 306,87°
tan B = 7/24
B = 16,26°
B = 196,26°
cos C = -5/13
C = 112,62°
find the missing side
Answers
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
PLEASE HELP ME it's almost due
find the length of the diagonals of rectangle QRST
Answers
Answer:
11. 26
12. 111
Step-by-step explanation:
_______________
Answer:
11.since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.
Answers
Answer:
Distance of first boat = 8 meter
Distance of second boat = 13.87 meter (Approx.)
Step-by-step explanation:
Given:
Height of cliff = 8 meter
Angle of depression respectively = 45° and 30°
Find:
Distance of boats
Computation:
Tanθ = Perpendicular / Base
Tan45 = 8 / Distance of first boat
1 = 8 / Distance of first boat
Distance of first boat = 8 meter
Tan30 = 8 / Distance of second boat
0.577 = 8 / Distance of second boat
Distance of second boat = 8 / 0.577
Distance of second boat = 13.8648
Distance of second boat = 13.87 meter (Approx.)
helppppppppppppppppppppppppppppp
Answers
Answer:
12000 cubic meters
Step-by-step explanation:
v=(1/3)(900)(40)
Solve the equation 2x-4y=4 for y
Answers
Y= -1 + 1/2x
what will the remainder over the divisor?
Answers
Round 1.3185 to 1 decimal place
Answers
Answer:
1
Step-by-step explanation:
Because 1.38185 is below 1.5 so it rounds to 1
can someone PLEASE HELP ME?? i have to redo some answers on my test and i have no clue what to do!
i would really appreciate your help!
A robin was sitting 9 feet from the base of a tree. The robin flew 41 feet to the top of the tree. The tree is ___ feet tall.
Hint: Draw and label a diagram.
Answers
Answer:
41 ft
Step-by-step explanation:
Since that's the height the Robin flew to.
Answer:
its either 41 feet or 50 feet or neither cause im dum.b
Step-by-step explanation:
41 feet explanation = the bird was on the ground and was 9 feet away from the tree so the bird moved 9 feet ON THE GROUND and then flew up 41 feet
50 feet explanation = the bird was on a branch 9 feet up from the tree base and flew the rest of the 41 feet
Which of these are factors of 16?
In geometry
Answers
Answer:
in geometry to find the factors of 16 we have to find numbers that can divide and without a number remaining 1,2,4
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answers
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
In C = A + B, what is the value of the entry represented by C41?
OA. -2
OB. 2
Ос.
-16
OD. 16
Answers
Answer
C41 = 2
This very simple to do.
First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.
Then multiply by the scalar which is 2 to get,
Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,
-3 x 4= -12
We now add these two corresponding entries to obtain,
14+-12= 2
Which expression is equivalent to 4 (3x – 2)?
O A. 7x-2
O B. 7x + 2
O C. 12x - 2
O D. 12x - 6
O E 12x– 8
Answers
Answer:
E is the answer
hope this helps
have a good day :)
Step-by-step explanation:
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answers
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
Help, please!!!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.
Answers
Answer:
the top is right 2/5
Step-by-step explanation:
The probability is 3 / 10.
What is Probability?The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
7, 11, 12, 13, 14, 18, 21, 23, 27, and 29
So,
even numbers are = 12, 14, 18.
The probability of picking a card = 3 / 10
Learn more about probability here:
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What is the equation of the circle with a diameter whose endpoints are (-3,-9) and (-7,1)?
Answers
Answer:
12
Step-by-step explanation:
Answer:
( x + 5 )² + ( y + 4 )² = 29
Step-by-step explanation:
Equation of the circle is
( x - h )² + ( y - k )² = r²
( h, k ) are coordinates of the center
~~~~~~~~~~~~~~~~~~~~~
Coordinates of the center of the circle are
( [tex]\frac{-3-7}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex] ) = ( - 5 , - 4 )
d = 2√29 ⇒ r = √29
( x + 5 )² + ( y + 4 )² = 29
what is formula of the volume of cylinder
Answers
Answer:
v = pi r² h
Step-by-step explanation:
thats the answer