If a member states, "i don’t know what to say to my father" during a role play. The best response from the leader will be?
The sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader.
What is a role play?This refers to the act of imitating the character and behaviour of someone who is different from yourself which an example is a training exercise which involves imitating of another people.
Sometimes, during the role play, the member of the group can run out of words while presenting a role, hence, as the member states, "i don’t know what to say to my father", the sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader to induce the member to talk.
Therefore, the Option C is correct.
Missing word "a. What or whom do you want to get away from? b. What made you come if you didn't want to be here today? c. If this is the last chance you have to speak to him, what do you want to tell him? d. What do you imagine will happen if you don't talk about it?"
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Three neon lights are turned on at the same time. One blinks every 4 seconds, the second one blinks every 5 seconds, and the third blinks every 6 seconds. In 5 minutes, how many times will all three lights blink at the same time?
In order to find how many times they will blink at the same time we need to find the common multiple of 4 and 6 between 1 and 60.
The first bulb blinks after every 4 seconds, means it blinks in multiple of 4.
The multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.
The second bulb blinks after every 6 seconds, means it blinks in multiple of 6.
The multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
The common multiple of 4 and 6 = 12, 24, 36, 48, 60.
∴
in sixty seconds they will blink 5 times at the same time.
On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
What is the area of parallelogram ABCD?
13 square units
14 square units
15 square units
Answer:
13 square units
Step-by-step explanation:
We need to find the distance between the points using the
Pythagorean Theorem, a² + b² = c²
(3,6) and (6,5); 6 - 3 = 3 and 6 - 5 = 1
3² + 1² = c²
9 + 1 = c²
c = √10
(6,5) and (5,1); 6 - 5 = 1 and 5 - 1 = 4
1² + 4² = c²
1 + 16 = c²
c = √17
√17 + √10 = 13.038
( a^5 ⋅ 2^3 )^3 = ?
Please help and explain.
Answer: [tex]512a^{15}[/tex]
Step-by-step explanation:
[tex](a^5*2^3)^3[/tex]
First, lets solve the inside of the parenthesis
[tex](a^5*8)^3[/tex]
Now, distribute the power of 3 to both terms. Remember taking a power of an exponent is like multiplying them (in this case [tex](a^5)^3=a^{15}[/tex]
[tex]a^{15}*512[/tex]
Simplify
[tex]512a^{15}[/tex]
how do you find the length of a rectangle if the diagonal is 10 inches long and the width is 8 inches
Answer:
Step-by-step explanation:
Use pythagorean theorem (a^2+b^2=c^2). The diagonal represents c and the width represents b or a. 8^2+b^2=10^2->64+b^2=100->b^2=36->b=6. So your height would be 6.
Jacob is cutting a tile in the shape of a parallelogram. two opposite angles have measures of (6n − 70)° and (2n 10)°. what are the two different angle measures of the parallelogram-shaped tile?
The measures of the two different angles are 70° and 110°.
What is angle in parallelogram ?
A parallelogram is a flat 2d shape which has four angles. The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees.Thus from the given question, we have:
(6n − 70)° + (2n + 10)° = 180°
8n - 60 = 180° + 60
8n = 240
n = 240/8
n = 30°
So that,
i. (6n − 70)° = (6[30] − 70)°
= 180 - 70
= 110°
ii. (2n + 10)° = (2[30] + 10)°
= 60 + 10
= 70°
Therefore, the measures of the two different angles are 70° and 110°.
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The equation of a circle is x2 y2 cx dy e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?
While E will increase, C and D won't change.
What is coordinate geometry?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
Due to the fact that the circle's equation is,
Nevertheless, we are aware of the circle's equation.
[tex]x^{2}+y^{2}+C x+D y+E=0[/tex]
(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)
[tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]
The following equation is compared to the generic equation above.
Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
As a result, C will be unchanged if r lowers ( because C is free from r)
D won't be effected ( because D is also free from r)
E will, however, rise if r falls.
E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
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(08.07 HC)
An expression is shown below:
f(x) = 2x²-3x - 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the
coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers
obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Answer:
Below in bold.
Step-by-step explanation:
Part A
At the x-intercepts f(x) = 0, therefore:
2x^2 - 3x - 5 = 0
(2x - 5)(x + 1) = 0
x = 5/2, -1)
So the x intercepts are (-1, 0) and (5/2, 0).
Part B
The Coefficient of x^2 is positive ( it is 2) So the graph opens upwards and the vertex will be a minimum.
Convert f(x) to vertex form, by completing the square:
f(x) = 2x^2 - 3x - 5
= 2(x^2 - 3/2x) - 5
= 2[(x - 3/4)^2 - 9/16] - 5
= 2(x - 3/4)^2 -18/16 - 80/16
= 2(x - 3/4)^2 - 49/8
So the coordinates of the vertex are
(3/4, -49/8) or
(0.75, -6.125) in decimal form.
Part C
To graph f(x) you would first mark the points on the x axis which we found in Part 1 and the vertex found in Part 2. This vertex will be the bottom of the 'U'.
The graph is a parabola shaped roughly like a U, and will be symmetrical about the line x = 0.75 (which passes through the vertex).
You would also plot 2 more points above the x axis so as to get an accurate graph. 1 would be to the left of the line of symmetry and 1 to its right.
Suggest x = - 2 and calculate f(-2) = 2(-2)^2 - 3(-2) - 5 = 11.
- that is the point (-2,11) and the other would be x = 4, f(x) = 15. (4, 15)
Once you have plotted these points draw a smooth u shaped curve through them.
2. (01.01 LC)
Which of the following is a defined term? (6 points)
Angle
Line
Point
Plane
Answer:
is there a picture I can look at?
Answer: Line
Step-by-step explanation:
Lines b and c are parallel.
Which is the measure of 6
Answer:
m∠6 = 54°
Step-by-step explanation:
Given the diagram, we know that line b is a straight line and angles 1 (the angle measuring 13x + 9°) and 2 are supplementary angles and thus add up to 180.
We also know angles 2 and 7 (the angles measuring 5x + 9°) are alternate exterior angles and are therefore congruent.
So since angle 2 = 5x + 9, we can do:
13x + 9 + 5x + 9 = 180
18x + 18 = 180
18x = 162
x = 9
Angles 7 and 6 are also congruent plugging x into angle 7 also gives us the measure of angle 6:
5(9) + 9 = 45 + 9 = 54°
X=
Help me please asap! Thanks so much :)
Which point is located at (-3, 4)?
Answer:A
Step-by-step explanation:
-3 to the left and up 4
A binomial experiment consists of 500 trials. the probability of success for each trial is. 4. what is the probability of obtaining the number of successes indicated in problems 51–58?
The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.
Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.
The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.
Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.
Cells x doute the no of surrell and
"p' denotes the probability of turrets
D= 5
H=pkin = 50-xo-5 = 250
σ = SD(X) = √√rbg
= √√5=x05x=5 = 14.№33
The probability of obtaining $45-26
= P(-5-250 < x-M 22605-250)
14.233
= P(-03864 < 2 2 0-7332)
8.4200
0.42
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Help me please! I’ll make you a brainlest show you work!!
The solution to the following mathematical problems are;
5² -3⁴ / (2³-5)(6² ÷ 9) = - 14/320² ÷ {3(5-9)² + 2} = 884/12 + (5-7)² -72 ÷ 6×2 = -13EvaluationSolve using
BODMAS
B - bracketO - offD - division M - MultiplicationA - additionS - Subtraction5² -3⁴ / (2³-5)(6² ÷ 9)
= 25-81 / (8-5)(36÷9)
= -56 / (3)(4)
= -56/12
= - 14/3
20² ÷ {3(5-9)² + 2}
= 400 ÷ {3(-4)² + 2}
= 400 ÷ {3(16) + 2}
= 400 ÷ (48+3)
= 400 ÷ 50
= 8
84/12 + (5-7)² -72 ÷ 6×2
= 7 + (-2)² - 12 × 2
= 7 + (4) - 24
= 11 - 24
= -13
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how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution ? round your answer to the nearest hundreth.
Answer:
10 ounces
Step-by-step explanation:
Answer:
9.09 ounces
Step-by-step explanation:
The added water can be calculated by writing an equation for the amount of iodine in the diluted solution.
SetupLet x represent the number of ounces of water added to the 60% solution. The total amount of iodine in the mixture is ...
0.60(100) +0(x) = 0.55(100+x) . . . . . ounces of iodine in the mix
SolutionSimplify the equation:
60 = 55 +0.55x
5 = 0.55x . . . . . . . subtract 55
x = 5/0.55 ≈ 9.09
9.09 ounces of pure water must be added to produce a 55% solution.
I need help answering this!
Measurement refers to a process through which the dimensions, size (weight), or other physical quantities of magnitude that are associated with an object or land is taken, especially for use in a scientific research and experiment such as direct comparison.
From the odometer on Missy's car, we have the following information:
Initial reading = 23,678 miles.
Final reading = 25,127 miles.
Trip = Final reading - Initial reading
Trip = 25,127 - 23,678
Trip = 1,449 miles.
How to solve Part B?Lubrication mileage = 16,000 kilometers.
Total mileage = 68,000 kilometers.
Lubrication time = Total mileage/Lubrication mileage
Lubrication time = 68,000/16,000
Lubrication time = 4.25 ≈ 4.
Next Lubrication time = (16,000 × 0.25) + 68,000
Next Lubrication time = 16,000 - (16,000 × 0.25) + 68,000
Next Lubrication time = 80,000 kilometers.
How to solve Part B?Rate = $29 per mile
Speed limit = 35 mph
Missy's car speed = 43 mph
Difference = 43 - 35
Difference = 8 mph.
Ticket = 29 × 8
Ticket = $232.
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Books front a certain publisher contain an average of 1 misprint per page. What is the probability that on at least one page?
The probability for at least 1 page is 0.667 .
Probability is the department of arithmetic concerning numerical descriptions of the way likely an event is to occur, or how probable it is that a proposition is actual. The probability of an event is a number between 0 and 1, where, roughly speaking, zero shows the impossibility of the event, and 1 suggests truth.
Possibility = the wide variety of methods of achieving success. The whole wide variety of possible outcomes. As an example, the opportunity of flipping a coin and its being heads is ½ because there's 1 way of having a head and the total quantity of viable outcomes is 2 (a head or tail). We write P(heads) = ½.
The form opportunity is from old French probability (14 c.) and at once from Latin probabilities (nominative probabilitas) "credibility, possibility," from probabilistic (see likely). The mathematical sense of the time period is from 1718.
As there's an average of 1 misprint in line with the web page, the possibility of a minimum of 5 misprints is 1 - P(0, 1, 2, 3, or 4 misprints)
P(0) = e-1/0!
P(1) = e-1/1!
P(2) = e -1/2!
P(3) = e-1/3!
P(4) = e-1/4!
P(0, 1, 2, 3, or 4 misprints) = e-1(1 + 1 + half of + 1/6 + 1/24) = 2 17/24 e-1 = .99634
Then, P(5 or more misprints) is 1 - .99634 = .00366
Then, the P(at the least 1 page in a 300-page ebook has at least 5 misprints) = 1 - P(0 pages have at least 5 misprints).
P(0 pages have at the least 5 misprints) = P(300 of 300 pages have 0, 1, 2, 3, or 4 misprints) =.99634 300
(you could view this as C(300, 300) p300 in case you desire) = 0.332881690573629
Then, P(1 or greater pages have at least 5 misprints) = 1 - 0.332881690573629 = 0.667118309426371
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T-shirts and sweatshirts were sold at a local shop. One salesperson sold three T-shirts and seven sweatshirts for a total amount of $240.50. Another salesperson sold six T-shirts five sweatshirts for a total amount of$220.00. Based on this information, what is the cost of a T-shirt and sweatshirt?
A. T-shirt for $9.00 and sweatshirt for $30.50
B. T-shirt for $12.50 and sweatshirt for $29.00
C.T-shirt for $11.67 and sweatshirt for $30.00
D. T-shirt for $23.70 and sweatshirt for $24.20
Answer:
B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =240.50
- Six T-Shirts and Five Sweatshirts: $75 + $145 = $220
Step-by-step explanation:
A. - Three T-Shirts and Seven Sweatshirts: $27 + $213.50 = $240.50
- Six T-Shirts and Five Sweatshirts: $54 + $152.5 = $206.5
B. - Three T-Shirts and Seven Sweatshirts: $37.5 + $203 =240.50
- Six T-Shirts and Five Sweatshirts: $75 + $145 = $220
C. - Three T-Shirts and Seven Sweatshirts: $35.01 + $210 = $245.01
- Six T-Shirts and Five Sweatshirts: $70.02 + $150 = $220.02
Mark as Branliest Please! :)
distribute the problem
2(3-8y)
Answer:
6-16yStep-by-step explanation:
Hello!
apply distributive law
[tex]a(b - c) = ab - ac[/tex]
2(3-8y)=2.3-2.8y
2.3=6-2.8y= -16y=6-16y
Hope it helps!
Please help!
The graph shows a system of inequalities.
Which point is a solution to the system?
(0,-1)
(2,3)
(4,0)
(6,-6)
Check the picture below.
Find the distance between the given points.
R(O, O) and S(6, 8)
Distance =
Answer:
distance = 10
2/7 /(22) = 10
23. Which expression is NOT equivalent
to the expression 38 – 14?
A 2(19-7)
B 24
C (19-7)2
D 2(36-12)
Answer: [D] 2(36-12)
Step-by-step explanation:
First, we will simplify the given expression.
38 – 14 = 24
Now, we will see if the other expressions are equivalent or not.
[A] 2(19-7) = 24
[B] 24 = 24
[C] (19-7)2 = 24
[D] 2(36-12) = 48
The expression is NOT equivalent to the expression 38 – 14 is;
[D] 2(36-12)
Hi :)
Let's evaluate all these expressions
———————[tex]\boldsymbol{\boxed{38-14=24}}}[/tex]
So Now the question boils down to --
What expression is NOT equivalent to [tex]\boldsymbol{24?}[/tex]
Option (A).[tex]\boldsymbol{2(19-7)}[/tex]
[tex]\boldsymbol{2(12)}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (A) is ruled out, because we're looking for expressions that are not equivalent to 24.
Option (B)Well 24 is always equal to 24!
Option (C)[tex]\boldsymbol{(19-7)2}[/tex]
[tex]\boldsymbol{(12)2}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (D)[tex]\boldsymbol{2(36-12)}[/tex]
[tex]\boldsymbol{2(24)}[/tex]
[tex]\boldsymbol{48}[/tex]
[tex]\tt{Learn\;More;Work\;Harder}[/tex]
:)
13. Check all the true statements.
Based on the triangle midsegment theorem, the true statements are:
DE║AC
2DE = AC
What is the Triangle Midsegment Theorem?If a line segment joins two sides of triangle and divides them at their midpoint, the divided segments will be congruent, and thus, the line segment joining the two sides is a midsegment of the triangle. According to the triangle midsegment theorem, the midsegment will be parallel to the third side that is not divided and also would be 1/2 its length. That is, the third side is twice the midsegment of that triangle.
In the image given, considering triangle ABC, we can make the following conclusions based on the triangle midsegment theorem:
D and E are midpoints of sides AB and BC respectively because they are divided by segment DE equally.
The midsegment is DE.
DE would be parallel to the third side, line segment AC.
Length of AC would be twice the length of DE
In conclusion, the true statements based on the triangle midsegment theorem are:
DE║AC
2DE = AC
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A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. a regular octagon has an apothem with length 10 centimeters and a perimeter of 66.3 inches. what is the area of the octagon, rounded to the nearest square inch?
331.5 inches² is the area of the octagon, rounded to the nearest square inch.
What is octagonal in shape?
In geometry, an octagon is a polygon that has 8 sides and 8 angles. All the sides are joined end to end to form the shape of the octagon. The sum of the interior angles of an octagon is equal to 180 degrees.Solving for an area of a regular octagon, we can make use of the formula shown below:
Area = 1/2 × apothem × perimeter
In this problem, the following values were given such as:
Apothem = 10 inches
Perimeter = 66.3 inches
Put the values in the formula
Area = 1/2 × 10 × 66.3
Area = 331.5 inches²
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Answer: C). 332 in.2
Step-by-step explanation:
on edg
Let f(x) = [infinity] xn n2 n = 1. find the intervals of convergence for f. (enter your answers using interval notation. ) find the intervals of convergence for f '. find the intervals of convergence for f ''
Best guess for the function is
[tex]\displaystyle f(x) = \sum_{n=1}^\infty \frac{x^n}{n^2}[/tex]
By the ratio test, the series converges for
[tex]\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{(n+1)^2} \cdot \frac{n^2}{x^n}\right| = |x| \lim_{n\to\infty} \frac{n^2}{(n+1)^2} = |x| < 1[/tex]
When [tex]x=1[/tex], [tex]f(x)[/tex] is a convergent [tex]p[/tex]-series.
When [tex]x=-1[/tex], [tex]f(x)[/tex] is a convergent alternating series.
So, the interval of convergence for [tex]f(x)[/tex] is the closed interval [tex]\boxed{-1 \le x \le 1}[/tex].
The derivative of [tex]f[/tex] is the series
[tex]\displaystyle f'(x) = \sum_{n=1}^\infty \frac{nx^{n-1}}{n^2} = \frac1x \sum_{n=1}^\infty \frac{x^n}n[/tex]
which also converges for [tex]|x|<1[/tex] by the ratio test:
[tex]\displaystyle \lim_{n\to\infty} \left|\frac{x^{n+1}}{n+1} \cdot \frac n{x^n}\right| = |x| \lim_{n\to\infty} \frac{n}{n+1} = |x| < 1[/tex]
When [tex]x=1[/tex], [tex]f'(x)[/tex] becomes the divergent harmonic series.
When [tex]x=-1[/tex], [tex]f'(x)[/tex] is a convergent alternating series.
The interval of convergence for [tex]f'(x)[/tex] is then the closed-open interval [tex]\boxed{-1 \le x < 1}[/tex].
Differentiating [tex]f[/tex] once more gives the series
[tex]\displaystyle f''(x) = \sum_{n=1}^\infty \frac{n(n-1)x^{n-2}}{n^2} = \frac1{x^2} \sum_{n=1}^\infty \frac{(n-1)x^n}{n} = \frac1{x^2} \left(\sum_{n=1}^\infty x^n - \sum_{n=1}^\infty \frac{x^n}n\right)[/tex]
The first series is geometric and converges for [tex]|x|<1[/tex], endpoints not included.
The second series is [tex]f'(x)[/tex], which we know converges for [tex]-1\le x<1[/tex].
Putting these intervals together, we see that [tex]f''(x)[/tex] converges only on the open interval [tex]\boxed{-1 < x < 1}[/tex].
I was wondering what C and how to solve for it because i dont really understand the problem
The measure of angle C is 35°.
Given that, ΔABC≅ΔDEF, ∠A=70°, ∠E=3x and ∠F=x+10.
What are congruent triangles?Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
In ΔABC and ΔDEF, corresponding angles are equal.
That is, ∠A=∠D=70°, ∠B=∠E=3x and ∠C=∠F=x+10
Now, ∠A+∠B+∠C=180° (∵angle sum property)
⇒70°+3x+x+10=180°
⇒4x=100°
⇒x=25°
Thus, ∠C=x+10=35°.
Therefore, the measure of angle C is 35°.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer is 314
Step-by-step explanation:
You need to do
3.14(pie) times the radius times the height divided by 3
Answer:
C. 314 [tex]in^{3}[/tex]
Step-by-step explanation:
The volume of a cone is: 1/3[tex]\pi[/tex][tex]r^{2}[/tex]h'
1/3 x 3.14 x [tex]5^{2}[/tex] x 12
1/3 x 3.14 x 25 x 12
1/3 x 3.14 x 300
100 x 3.14
V = 314
word problem for 2.35+-4.57
Answer:
=> -2.22
Step-by-step explanation:
=> 2.35 + ( -4.57)
=> 2.35 - 4.57
=> - 2.22
if a skip rope is a meter long and its a cm less how much is it pls answer
Answer:
99cm
Step-by-step explanation:
A meter is equal to 100cm
The rope is a metre (m) long but a centimetre (cm) less.
100cm - 1cm = 99cm
In which step does a mistake first occur? 8 2 (3 x 3 -2) step 1: 8 2 (3 x 1) step 2: 8 2 3 step 3: 4 3 step 4: 7
Answer: Step 1
Step-by-step explanation: The order of operations states that multiplication must be done before addition. However, in step 1, 3x3-2 turns into 3x1 which is wrong. It should be 9-2 because you need to do the multiplication first.
