precalculus help! i'm having some trouble with my summer assignment. help would be very appreciated :)))
Answers
6.
[tex]y^2\sqrt[8]{8}[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]
Since there are eight y's in two groups we can take them out which turns into
[tex]y^2\sqrt[8]{8}[/tex]
:)
3.
Problem 3:
We are given the following complex number and I'm assuming we want to simplify it:
[tex]\dfrac{5+i}{6+i}[/tex]
Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):
[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]
[tex]=\dfrac{31+i}{37}[/tex]
Simplifying gives us:
[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]
Problem 6:
You seem to have done this problem correctly
[tex]\sqrt[8]{8y^{16}}[/tex]
Expanding gives us:
[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]
[tex]=y^2\sqrt[8]{8}[/tex]
This can't be simplified further as the 8th root of 8 gives us an irrational number
Let me know if you need any clarifications or extra help, thanks!
Related Questions
The probability that my bus is late on any day is 0.2. The probability that it rains tomorrow is 0.4. If the weather and the bus are independent, what is the probability that it rains AND my bus is late?
Answers
Answer:
0.08
Step-by-step explanation:
The probability that the bus is late on any day is 0.2
The probability that it rains tomorrow is 0.4
The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.
Therefore:
P(late & rains) = 0.2 * 0.4 = 0.08
Answer:
The probability that it rains and the bus is late is 1/7
Step-by-step explanation:
Practically, we can apply the Bayes’ theorem to solve this.
Mathematically, we use the Bayes’ problem as follows;
P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]
Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6
P(on time) = 1-P(late) = 1-0.2 = 0.8
Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2
Substituting these values into the Bayes’ equation above, we have;
P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)
= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7
A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3
Answers
Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
The nth term of a sequence is n(n - 1).
What are the first four terms?
What is the 50th term?
Is 59 a term in the sequence?
Which term is 182?
The ______ th term
Answers
Answer:
T1=0
T2=2
T3=6
T4=12
T50=2450
59 is not a term in the sequence
Step-by-step explanation:
Tn=n(n-1)
182=n2 - n
0=n2 - n - 182
0=n2-14n+13n-182
0=n(n-14)+13(n-14)
0=(n-14) (n+13)
Since n cannot be negative n is not equal to -13
Therefore,
n=14
WILL GIVE BRAINLIEST. PLEASE HELP. In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle. True or false?
Answers
Answer:
True
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.
Plzzz helpppp urgenly❤️
Answers
Answer:
[tex]\mathrm{D.} \: (\frac{5}{4} )^{\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{(\frac{5}{4})^7 }[/tex]
Apply rule : [tex]\sqrt{a} =a^{\frac{1}{2} }[/tex]
[tex]((\frac{5}{4})^7 )^{\frac{1}{2} }[/tex]
Apply rule : [tex](a^b)^c=a^{bc}[/tex]
[tex](\frac{5}{4} )^{7 \times \frac{1}{2} }[/tex]
[tex](\frac{5}{4} )^{\frac{7}{2}[/tex]
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 15 tiles are in the Product spot in 3 columns with 5 rows: 1 is labeled + x squared, 2 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative. Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answers
Answer:
x² - 2x - 8
Step-by-step explanation:
Algebra tiles are tiles used to represent variables or numbers and are rectangular or square shaped.
1 is labeled + x squared, this gives x²
2 are labeled + x, this gives +x × 2 = +2x
4 tiles below + x squared are labeled negative x, this gives - x × 4 = - 4x
8 tiles below the + x tiles are labeled negative, this gives -1 × 8 = -8
Therefore to get the polynomial that was factored, we add all the terms. This gives :
+x² + (+ 2x) + (-4x) + (-8) = x² + 2x - 4x - 8 = x² - 2x - 8
Answer:
The answer is A, and if edge is being weird the answer is x^2-2x-8, Have fun dreamers!
Step-by-step explanation:
Explain how to determine the solutions to a quadratic equation, graphically.
Answers
Answer:
In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 2 and x = 5. (10 points) Graph of 2 to the power of x plus 1
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Then, we use the following formula:
(f(b)-f(a))/(b-a),
where b and a are the largest and smallest x values respectively.
Finally, we plug our values in:
(11-5)/(5-2)=6/3=2
In fact, the average rate of change of any linear function is just the coefficient of the x term. Hope this helped!
Water flows through a pipe at a rate of 10 fluid ounces per day. Express this rate of flow in pints per month.
Answers
Answer: 18.75 pints per month
Step-by-step explanation:
All of the following expressions simplify to 3, except _____.
-6 + 9
1 - (-2)
-9 ÷ (-3)
-5 - 2
Answers
Answer:
-5 - 2
Step-by-step explanation:
Solve each of the following
A is -6 + 9 which equals 3
B is 1 - (-2) which simplifies into 1 + 2 which equals 3
C is -9 / -3. the negatives cancel leaving 9/3 which is 3
D is -5 - 2 which simplifies into -5 + -2 which equals -7
Because
-6+9=3
1-(-2)=3
-9/(-3)=3
-5-2=-7
Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answers
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
The solutions to 2x2 + 8x + 4 = 0 are x = -87,32. Choose the simplified form
of these solutions.
Answers
Answer: D
Step-by-step explanation:
Answer:
the answer is "C"
Step-by-step explanation:
i just took the test
A skateboard ramp has a slope of 5/6. What is the measure of the angle the ramp forms with the ground to the nearest degree
Answers
Answer:
39.8°
Step-by-step explanation:
We know slope is rise over run. That would mean our right triangle would have a horizontal leg of 6 and a vertical leg of 5. From there we use tan∅ to help solve ∅:
tan∅ = 5/6
∅ = tan⁻¹(5/6)
∅ = 39.8056
cot(45-A)=tan2A+ sec2A
Answers
Answer:
See picture.
Step-by-step explanation:
Each unit on the coordinate grid represents 1 yard. The rectangular pool and triangular hot tub shown are both in need of covers. How much total material is needed to cover both? square yards
Answers
Answer:
29 square yards
Step-by-step explanation:
see attachment for the graph
Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).
AB=[tex]\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}[/tex] yard=CD
BC= [tex]\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}[/tex]yard=DA
In order to find the area of rectangular pool =Length × Breadth
=√52 ×√13=13×2=26 sq. yard
Vertices of triangle given are: P(5,2),Q(7,2) and R(7,5).
PQ= 2 units, QR= 3 units
Area of right triangle PQR=1/2 ×PQ×PR
=1/2×2×3= 3 sq. yards
Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)
= Area of rectangle + Area of right triangle
=26+3=29 square yards
Answer:
29
Step-by-step explanation:
I just did my homework
hi can you help me i can’t move forward if i skip this question.
Answers
4.5x > 225
X>225\4.5
X>50
Approximately how many seconds would it take for the Mississippi River( 16,790 cubic meters per second) to fill the volume of the Gulf of Mexico(2,434,000,000,000,000)? Choice A : 1 *10^9 Choice B : 1* 10^10 Choice C : 1 * 10^11
Answers
Answer:
1 * 10^11
Step-by-step explanation:
Take the gulf of mexico and divide by the rate to get the number of seconds
2,434,000,000,000,000 / 16790
Change each to scientific notation
2 * 10 ^15/ 1.6 *10^ 4
Rounding
2 * 10^15 / 2 * 10^4
Dividing the numbers 2/2 =1
Dividing the exponents means subtracting the powers = 10 ^(15-4) = 10 ^1
1 * 10^11
Enter values to complete the table below.
Answers
Answer: The answers are in the steps
Step-by-step explanation:
x y value of y/x
-3 -3 1
1 1 1
3 3 1
Imagine a player getting ready for a tournament. He has 4 games to play during the day: 9:00 a.M., 11:00 a.M., 1:00 p.M., and 3:30 p.M. He refuses to wear shorts until temperature rises to at least +5 degrees. Based on a starting temperature of -9 degrees at 6am and an increase in temperature of 2 degrees an hour, when might he be able to change from his pants to shorts? Provide explanations why he can/can't put his shorts on for Game 1, Game 2, Game 3 and Game 4.
Answers
Answer:
by game 3(at 1:00 p.m.)
temperature increases to 5 degrees at 1:00 p.m
Work out angle x Triangles are not drawn to scale
Answers
Answer:
1) x = 71°, 2) x = 27°, 3) x= 32°
Step-by-step explanation:
1) Rectangle ABCD.
∠D = 90°
From ΔABE.
∠EAB +∠ABE + ∠BEA = 180°
45 + 90 +∠BEA = 180
∠BEA = 45
∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle
45 + x + 64 = 180
x = 71°
2) Δ XYZ is equilateral, all angles = 60°.
∠YZX = 60°.
∠YZW = 180°, because it is a straight angle.
∠YZX + ∠XZW= 180
60 + ∠XZW= 180
∠XZW = 120.
From ΔXZW
∠ZXW + ∠XWZ + WZX = 180
x + 33 + 120 = 180
x = 27°
3) In ΔPQR,
PQ = PR, so ∠PQR = ∠PRQ = 69°
∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.
∠PRQ + ∠PRS = 180
69 + ∠PRS = 180
∠PRS = 111°.
From ΔPRS
∠PRS + ∠RSP + ∠SPR = 180
111 + 37 + ∠SPR = 180
111 + 37 + x= 180
x = 32
Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.
Answers
Answer:
1 hour : 15 dollars
2 hours: 20 dollars
3 hours: 25 dollars
4 hours: 30 dollars
5 hours: 35 dollars
Step-by-step explanation:
Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.
Five submarines sink on the same day, and all five go down at the same spot where a sixth had previously sunk. How might they all lie at rest so that each submarine touches the other five? To simplify, arrange six wooden matches so that each match touches every other match. No bending or breaking allowed.
Answers
Answer:
picture is attached
Step-by-step explanation:
there are many options but this is one
The points (0, –1) and (4, 5) lie on the straight line L.
Find an equation of the line which is parallel to L and passes through the point (–2, 0).
Answers
Answer:
y = 3/2x + 3.
Step-by-step explanation:
With these two points, we can find the equation of line L.
y = mx + b
Slope: (5 --1) / (4 - 0) = 5 + 1 / 4 = 6 // 4 = 3/2
Intercept: [stated by the first pair of coordinates] (0, -1)
y = 3/2x - 1
Since the line is parallel to L, the slope is the same as line L.
y = 3/2x + b
The line passes through (-2, 0), so we can substitute the points into the equation and solve for b.
0 = 3/2 * -2 + b
b - 3 = 0
b = 3
So, the equation of the line which is parallel to L and passes through the point (-2, 0), is y = 3/2x + 3.
Hope this helps!
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 390 people entered the park, and the admission fees collected totaled $10650. How many children and how many adults were admitted? NUMBER OF CHILDREN= ? NUMBER OF ADULTS= ?
Answers
Answer:
Children = 200
Adults = 190
Step-by-step explanation:
Children = x
Adults = y
x + y = 390
x = 390 - y..............(1)
20x + 35y = 10650
Substituting
20(390-y) + 35y = 10650
y = 190
x = 390 - 190 = 200
Answer:
Step-by-step explanation:
Number of children = c
Number of adults = a
Total people = 390
a + c = 390 ------------------ (I)
Admission fee for 'c' children = 20 * c = 20c
Admission fee for 'a' adult = 35 * a = 35a
Total amount = $ 10650
35a + 20c = 10650 -------------(II)
Multiply equation (I) by (-20)
(I)*(-20) -20a - 20c = - 7800
(II) 35a + 20c = 10650 { Now add and so 'c' will be eliminated}
15a = 2850
a = 2850/15
a = 190
Plug in a = 190 in equation (I)
190 + c = 390
c = 390 - 190
c = 200
Number of children = 200
Number of adults = 190
The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)
Answers
Answer:
last option is correct
Step-by-step explanation:
Mathematically, we can write the volume of a cone as;
V = 1/3 * pi * r^2 * h
From the question, V is 8 pi cm^3 while h is 6cm
Thus, substituting these values into the equation, we have;
8pi = 1/3 * pi * r^2 * 6
The last option is the correct answer that tallies with the above
Answer:
8 pi = one-third pi (r squared) (6)
its d
Step-by-step explanation:
Which of the following equations is graphed below?
Answers
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct? associative property commutative property distributive property identity property
Answers
Answer: distributive property
Step-by-step explanation:
[tex]5(18)=2(18)+3(18)[/tex]
[tex]18(2+3) = 2* 18+ 3*18[/tex]
[tex]18*5 = 2* 18+ 3*18[/tex]
Answer: Distributive Property
Step-by-step explanation:
An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answers
Answer:
The pair of numbers that has a product of ac and a sum of b = (+2, +8)
The factored form of the trinomial = (x+2) (x+8)
Step-by-step explanation:
ax² + bx + c = 0
This is in the form of a trinomial algebraic expression
Given trinomial: = ax² + 10x + 16
Where a = 1, b= 10, c= 16
To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.
Using factorisation method:
ac = a×c = 1×16 = 16
Let's find the factors of 16 whose sum gives +10 and product gives +16
Factors of 16 = 1, 2, 8, 16
+2 + +8 = +10
+2 × +8 = +16
The factors are +2 and +8
The pair of numbers that has a product of ac and a sum of b = (+2, +8)
x² + 10x + 16 = x + 2x + 8x + 16
x² + 10x + 16 = x(x+2) + 8(x+2)
= (x+2) (x+8)
The factored form of the trinomial = (x+2) (x+8)
Answer:
(x+2) (x+8)
Step-by-step explanation:
John is standing at the point (-4,-8) and his friend Victor is standing at the point (-4,12). Find the distance between them. A. 20 units
B. -20 units
C. 28 units
D. -28 units
Answers
Answer:
20 unitssolution,
Let the points be A and B
A(-4,-8)--->(X1,y1)
B(-4,12)---->(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]
Hope this helps..
Good luck on your assignment...
If two lines meet at a right angle they are said to be _________ to each other.
Answers
Answer: perpendicular
Answer:
perpendicular
Step-by-step explanation:
If two lines meet at a right angle they are said to be perpendicular to each other.
Two lines are perpendicular when they intersect at a right angle.