Answer:
3
Step-by-step explanation:
Assuming the question is 11x+9x³-8y+5, the highest degree on x is 3
if, it's just 11x+9*x*3-8y+5, then the degree is 1, which I don't think the equation you wanted to ask.
Answered by GAUTHMATH
Carlos has chosen twelve different compact discs (CDs) he would like to buy. Four are rap music, five are country music, and three are heavy metal music. Carlos then randomly selects five of the 12 CDs to purchase. What is the probability that his purchase includes at least one CD from each of the three categories
Answer:
185/198
Step-by-step explanation:
Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways
Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have
For the first selection 3 of one category, and 1 each of the other categories.
The second selection is 2 each of two categories and 1 of the last category.
So, doing this for each category, we have
⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁
= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)
= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4
= 60 + 180 + 20 + 90 + 360 + 30
= 740 ways
So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198
Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?
Answer:
not D
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
A pendulum is swinging next to a wall. The distance D(t)D(t)D, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the bob of the pendulum and the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when the pendulum is exactly in the middle of its swing, the bob is 5\text{ cm}5 cm5, start text, space, c, m, end text away from the wall. The bob reaches the closest point to the wall, which is 3\text{ cm}3 cm3, start text, space, c, m, end text from the wall, 111 second later. Find D(t)D(t)D, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answer:
D(t)=-2sin(pi/2 t)+5
Step-by-step explanation:
i did it on Khan academy
Answer:
-2sin(pi/2 t)+5
Step-by-step explanation:
ALso did on Khan Academy (its on the sinisoidal equations excercise)
A graph shows minutes on the horizontal axis from 0 to 10 and miles from start on the vertical axis from 0 to 1.5. The blue line labeled Andy begins at 0 miles in 0 minutes and ends at 1.25 miles at 10 minutes. The red line labeled Berta begins at 0.5 in 0 minutes and ends at 1.12 miles in 10 minutes. The green line labeled Caedin begins at 1.5 miles in 0 minutes, to 0 miles in 6 minutes, and ends at 1 mile in 10 minutes. [NOTE: character count is 425; possible visual bias in graph]
Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
Answer:
Who is at the trail start at 9:00 a.m.? : Andy
Who runs fastest? : Caedin
When do Andy and Berta cross paths? : 9:08 am
Who is closest to the 1.5 mile mark after 6 minutes? : Berta
Step-by-step explanation:
assignment
On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 34 m long and the shadow is 24 m, how tall is the building
Answer:
Step-by-step explanation:
h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m
The height of the building is 10 meters.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Let's call the height of the building "h".
We can use the Pythagorean theorem to relate the height, shadow, and hypotenuse of the right triangle:
h² + 24² = 34²
Simplifying and solving for h.
h² = 34² - 24²
h² = 676 - 576
h² = 100
h = 10
Therefore,
The height of the building is 10 meters.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
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Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?
Answer:
1 term
Step-by-step explanation:
Writing an expression of 5 terms such that all 5 terms are like terms ;
Using the analogy :
x, 2x, 4x, 3x, 5x
Writing as an expression :
x + 2x + 4x - 3x + 5x
7x - x + 5x
6x + 5x
11x
The least number of terms in its equivalent expression is 1 ;
As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x
Which is the graph of f(x) = -(x + 3)(x + 1)?
8
4
22
2
2
2
-8
6
х
2
6 4
6
8
-6
4
X
2
-2
-2
19
2
Answer:
It's the second option
Step-by-step explanation:
Graph for -(x+3)(x+1)
The graph of f(x) = -(x + 3)(x + 1) is the option B.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = -(x + 3)(x + 1)
Simplifying,
f(x) = - (x² + 3x + x + 3)
f(x) = -x² - 4x - 3
This is a quadratic function, the graph of which is a parabola.
Leading coefficient is negative, so the parabola opens downward.
Options are either A or B.
x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.
Here x coordinate = -(-4) / (2 × -1) = -2
The vertex of first graph is (2, 1) and that of second graph is (-2, 1).
The correct option is second graph.
Hence the second graph is the graph of the given function.
Learn more about Quadratic functions here :
https://brainly.com/question/12723502
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convert f(x) = 5x(x – 6) to standard form
Answer:
[tex]5x^{2} - 30x[/tex]
Step-by-step explanation:
Which inequality is represented by this graph?
Answer:
x> 0
Step-by-step explanation:
There is an open circle at 0 so this means it is not equal to
The line goes to the right so x is greater than
x> 0
someone answer this please
Answer:
720º
Step-by-step explanation:
To find the total amount of interior angles in any polygon, we have to use the formula, (n-2)*180.
Here, the n is the number of sides the polygon has. In this case, your polygon has 8 sides. Therefore it would be (8-2)*180 --> 4*180 = 720º.
Answer:
the answer is 720. Please give me brainliest
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions
Look at this rectangular prism:
Answer:
3 : 1
Step-by-step explanation:
volume = length * width * height
The volume of the solid as it is shown is:
volume = 10 m * 6 m * 10 m = 600 m^3
old volume = 600 m^3
Now we triple the length.
The length becomes 3 * 10 m = 30 m
The new volume is:
volume = length * width * height
volume = 30 m * 6 m * 10 m = 1800 m^3
new volume = 1800 m^3
ratio of new volume to old volume = 1800 m^3 : 600 m^3
Divide both sides of the ratio by 600 m^3.
Ratio = 3 : 1
Answer: 3 : 1
Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?
pls explain, thanks!!!!
C.P. = $95000
S.P. = $280000
a. Profit
= S.P. - C.P.
= $280000 - $95000
= $185000
b. Let the profit% of C.P. be x.
(x/100) × $95000 = $185000
=> x/100 = $185000/$95000
=> x/100 = 37/19
=> x = (37/19) × 100
=> x = 3700/19
=> x = 194 14/19
So, profit percent of buying price is 194 14/19%.
c. Let the profit% of S.P. be x.
(x/100) × $280000 = $185000
=> x/100 = $185000/$280000
=> x/100 = 37/56
=> x = (37/56) × 100
=> x = 3700/56
=> x = 925/14
=> x = 16 1/14
So, profit percent of selling price is 16 1/14%.
d. Buying price percentage profit sounds better as far as Ella is concerned.
If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km
Answer:
circumference = 2*PI*radius
circumference = 2 * PI * 5 cm
circumference = 31.4159265358979 cm
50 km = 500,000 centimeters
rotations = 500,000 / 31.4159 cm
15,915.51 rotations
Step-by-step explanation:
Solve 3x-4>11 if the domain of x is {1,2,3,4,5,6,7,8}
Answer:
(6,7,8)
Step-by-step explanation:
solving the inequality will give x>5
1a.-14,____,-6,____,2,____,10
b. ____, - 2,4,____,16,____,64
2.Factor of 60=
1,2,3,4,5,6,10,x,15,20,y,z
Find the sum of the values of x, y and z
Please help me to solve these question, thank you.
Answer:
102
Step-by-step explanation:
x= 12
y= 30
z= 60
Hope u got it
Answer:
Hello,
a) -6
b) -39
c) 102
Step-by-step explanation:
I suppose this are sequence arithemical or geometrical
[tex]a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\[/tex]
[tex]b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\\dfrac{u_5}{u_3}=\dfrac{16}{4} =4\\\dfrac{u_8}{u_6}=\dfrac{64}{16} =4\\\dfrac{u_3}{u_2}=\dfrac{4}{-2} =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=\dfrac{u_2}{-2} =1\\\\u_4=y=\dfrac{u_5}{-2} =-8\\\\u_6=z=\dfrac{u_7}{-2} =-32\\x+y+z=1+(-8)+(-32)=-39\\[/tex]
c)
All those numbers are divisor of 3*4*5=60
x=12, y=30, z=60
x+y+z=12+30+60=102
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
NEED HELP ASAP!!!!!!!
Which of these products is negative? Select all that apply.
-8 ÷ (-3)
-2 ÷ 8
0 ÷ (-2)
15 ÷ (-5)
-8 ÷ (-9)
Answer:
Positive/negative = negative
Negative/positive = negative
So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.
Let me know if this helps!
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x
Answer:
3.71 yd
Step-by-step explanation:
Heron's formula:
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c
a = 6
b = 10
c = 14
a+b+c = 30
-a+b+c = 18
a-b+c = 10
a+b-c = 2
x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =
= sqrt(10800)/28 = sqrt(400×9×3)/28 =
= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =
= 3.711537 yd
The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
Answer:
677
Step-by-step explanation:
the sequence is 1, 2, 5, 26, 677
the first term is 1
to find the 2nd term, do: [tex]1^{2} +1=2[/tex]
3rd: [tex]2^{2} +1=4+1=5[/tex]
4th: [tex]5^{2} +1 =25 +1=26[/tex]
5th: [tex]26^{2} +1=676+1=677[/tex]
Determine the quotient of .    
How many solutions does the system have?
⎪
⎪
⎨
⎪
⎪
⎧
x+y=3
5x+5y=15
Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?
Answer:
729000 year it's price will Rs 729000
hlpppppppppppppppppppppppppppppppppp
Answer:
4th quadrant
Step-by-step explanation:
quadrant 4 is (+,-)
Answer:
It is the 4th quadrant!
Step-by-step explanation:
Hope it helps! ;D
Find the area of the bolded outlined sector.
Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
Lorraine writes the equation shown. x²+4-15=0 She wants to describe the equation using the term relation and the term function. The equation represents a relation and a function a relation but not a function a function but not a relation neither a relation nor a function
Answer:
Neither a relation nor a function
Step-by-step explanation:
A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values
An equation is a statement that gives declare the equality between two expressions
A function is a mapping rule that maps each element in the domain set to only one element in the range set
Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function
more points for yal if u help <333
1+-2/3--m where m=9/2
Answer:
-25/9
Step-by-step explanation:
1 + (-2/3) - m
Plug in:
1 + (-2/3) - 9/2
1 + 2/3 - 9/2
1/3 - 9/2
-25/9
Hope this helped.
Answer:
4 5/6
Step-by-step explanation:
1+-2/3--m
Subtracting a negative is like adding
1-2/3 +m
1/3+m
m = 9/2
1/3 +9/2
Get a common denominator of 6
1/3 *2/2 +9/2*3/3
2/6 + 27/6
29/6
Changing to a mixed number
4 5/6
