Answer:
Step-by-step explanation:
Total marbles = 5 + 6 + 2 = 13
P( getting blue ball from first draw) = 5/13
The marble is not replaced. So, Now total marbles will be 12 & number blue marbles will be 4
P( getting blue ball from second draw) = 4/12 = 1/3
P(getting two blues) = [tex]\frac{5}{13}*\frac{1}{3}\\[/tex]
= 5/39
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
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
help i will give brainliest
Answer:
93°Step-by-step explanation:
[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]
Which is the graph of f(x)=2(3) to the x power?
Answer:
Use a graphing calc.
Step-by-step explanation:
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?
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.
Which of the following equations is graphed below?
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
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
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
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Answer:
first tower needs 4
second needs 3
third needs 2
and the fourth needs 1
Total needed triangles for all is 10
Step-by-step explanation:
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.
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
Two fair dice are rolled 3 times and the sums of the numbers that come up is recorded. Find the probability of these events. A) the sum 10 on each of the three rolls? B) the sum is 10 exactly twice in three rolls?
Answer:
A) P(10 on three rolls) = 1/1728 = 0.0005787
B) P(10 in two of three rolls) = 11/1728 = 0.0063657
Step-by-step explanation:
Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.
To find a sum of 10, the cases are:
(4,6), (5,5) and (6,4).
So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:
P(10) = 3/36 = 1/12
A)
If we want the sum of 10 in each of the three rolls, the probability is:
P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787
B)
If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:
P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12
So we have:
P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)
P(10 in two of three rolls) = 11/1728 = 0.0063657
Water flows through a pipe at a rate of 10 fluid ounces per day. Express this rate of flow in pints per month.
Answer: 18.75 pints per month
Step-by-step explanation:
Plzzz helpppp urgenly❤️
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 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
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
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
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
Enter values to complete the table below.
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
Is [tex]\frac{\pi }{2}[/tex] irrational or rational, include explanation
It would be irrational.
Reasoning:
A rational number is any number that can be expressed as a fraction of two integers provided that the denominator is not zero.
π is an irrational number because its approxiamation is [tex]\frac{22}{7}[/tex] is not the exact value of π. Additionally, we know that the quotient of irrational numbers can be rational or irrational. Here is the case where we have [tex]\frac{\pi }{2}[/tex], an irrational number divided by a rational number giving a quotient that is irrational.
Answer: irrational
Step-by-step explanation:
Apart from multiplying by 0 or dividing by pi, nothing can make pi rational. pi/2 is the same thing as 1/2pi, which is irrational, because it cannot be simplified into a repeating or terminating decimal
cot(45-A)=tan2A+ sec2A
Answer:
See picture.
Step-by-step explanation:
Work out angle x Triangles are not drawn to scale
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
The solutions to 2x2 + 8x + 4 = 0 are x = -87,32. Choose the simplified form
of these solutions.
Answer: D
Step-by-step explanation:
Answer:
the answer is "C"
Step-by-step explanation:
i just took the test
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
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 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)
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:
hi can you help me i can’t move forward if i skip this question.
On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?
Answer: $70.65
Step-by-step explanation:
From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.
To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:
= $22.50 - (-$48.15)
= $22.50 + $48.15
= $70.65
Mics spent $70.65 at the market.
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
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.
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.
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.
Answer:
by game 3(at 1:00 p.m.)
temperature increases to 5 degrees at 1:00 p.m
Explain how to determine the solutions to a quadratic equation, graphically.
Answer:
In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.
I need help!!!
Use the rational zero theorem, which of the following could not be a rational zero of: 6x^5+ax^3=bx+12? 1/2 -3/4 -2
Answer: x = -3/4 can not be a rational zero of the polynomial.
Step-by-step explanation:
We have the polynomial:
6x^5 + ax^3 -bx -12 = 0.
The theorem says that:
If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).
The factors of -12 (different than itself) are (independent of the sign).
1, 2, 3, 4 and 6.
So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.
The factors of 6 are:
1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.
Then the option that can not be a zero of the polynomial is
x = -3/4
because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.
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= ?
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
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
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:
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.
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.