Step-by-step explanation:
here you go:
√24•24= 24
√576=24
Check : 24 ×24 = 576
•°• The square root of 576 is 24.....
Como sacar la circunferencia ?
Answer: Así que harás radio multiplicado por 2 y luego diámetro multiplicado por pi, que es 3,14, así que básicamente diámetro multiplicado por pi
Step-by-step explanation:
Answer:
La circunferencia de un círculo es la distancia alrededor del círculo. Se podría llamar perímetro del círculo.
Como encontrar la circunferencia de un círculo:
La circunferencia de un círculo se puede averiguar multiplicando pi ( p= 3.14) por el díametro del círculo.
Si un círculo tiene un diámetro de 4, su circuferencia es 3.14*4=12.56
Si conoces el radio, el diámetro es dos veces su largo.
Christine has a rope that is 9 meters long. She cuts away a plece that is 3.29 meters long. How long is the remaining plece of rope?
Answer:
9.00-3.29= 5.71 meters rope remaining
What is 6.25 as a fraction and decimal
: Statistics is the science of conducting studies to: a) solve a system of equations b) hypothesize, experiment and form conclusions c) collect, organize, summarize, analyze and draw conclusions from data d) monitor, study and report on a subject.
Statistics is the science of conducting studies to c) collect, organize, summarize, analyze and draw conclusions from data.
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is widely used in many fields such as business, healthcare, sports, social sciences, and engineering to make informed decisions.
Statistics helps in designing experiments, choosing appropriate statistical models, analyzing and interpreting data, and making predictions about future events.
The correct answer is c) collect, organize, summarize, analyze and draw conclusions from data because statistics is the science of using data to draw conclusions. It involves collecting, organizing, summarizing, analyzing and interpreting data. This can include conducting surveys, experiments, and simulations to help make decisions about a given topic.
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8 x 1/2=4 simplified
Answer:
Step-by-step explanation:
8➗2=4
since 1/2 is divinding
What is the quotient of the expression the quantity 28 times a to the fourth power times b plus 4 times a to the second power times b to the second power minus 12 times a times b end quantity divided by the quantity 4 a times b end quantity?
Note that the the quotient of the expression is 7a³ + a²b - 3.
How is this so ?The expression can be written this way
(28a⁴ᵃᵇ + 4a²b² - 12ab) / (4ab)
To simplify the expression, we can cancel out common factors in the numerator and denominator.
In this case, we can divide every term by 4ab:
(28a⁴ᵃᵇ / 4ab) + ( 4a²b² / 4ab) - (12ab / 4ab)
Simplifying further, we have:
7a³ + a²b - 3
Thus, we can state that , the quotient of the expression is 7a³ + a²b - 3
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Multiply the polynomials. Express the answer as single polynomial in standard form. (6x - 7)²
the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.
To multiply the polynomial (6x - 7)², we can use the concept of binomial expansion or the FOIL method. Let's apply the FOIL method:
(6x - 7)² = (6x - 7)(6x - 7)
Using the FOIL method, we multiply the first terms, outer terms, inner terms, and last terms:
(6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7)
Simplifying each term:
= 36x² - 42x - 42x + 49
= 36x² - 84x + 49
Therefore, the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.
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What is the value of the expression -2/7 - 4/7
Answer: -6/7
Step-by-step explanation: combine like terms.
Same signs; add, different signs; subtract.
1. Two triangles have the following congruence statement: ACGI = AMPR Name all 6 pairs of corresponding congruent parts. 1.
Answer:
\( \angle C \cong \angle M \)
\( \angle G \cong \angle P \)
\( \angle I \cong \angle R \)
\( \overline{CG} \cong \overline{MP} \)
\( \overline{GI} \cong \overline{PR} \)
\( \overline{CI} \cong \overline{MR} \)
Step-by-step explanation:
Given the congruence statement ∆CGI \( \cong \) ∆MPR, it follows that the corresponding sides of both ∆s are equal, as well as the corresponding vertices or angles. It implies that ∆CGI and ∆MPR are of the same shape and size.
✅Thus, the 6 pairs of the corresponding congruent parts of ∆CGI and ∆MPR are:
\( \angle C \cong \angle M \)
\( \angle G \cong \angle P \)
\( \angle I \cong \angle R \)
\( \overline{CG} \cong \overline{MP} \)
\( \overline{GI} \cong \overline{PR} \)
\( \overline{CI} \cong \overline{MR} \)
Vectors v1, v2, v3 are linearly independent. Indicate sets of vectors that are equal to span {v1, v2, v3}
Span{v1, v2, v3, 0}
Span{v1, v1-v2, v3}
Span{v1, v2}
- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.
Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.
A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.
The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.
Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.
Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.
It has a lower dimension, and therefore, the span is different.
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frankie has $4.35 in dimes and quarters. the number of dimes is five more than the number of quarters. how many of each coin does she have?
That Frankie has 11 quarters (x) and 16 dimes (x + 5).
Let x be the number of quarters, then x + 5 is the number of dimes.
The sum of the value of dimes and quarters is $4.35.
This information can be used to create an equation that can be solved for the number of dimes and quarters.
Let's solve for this.
Frankie has x quarters, which have a value of 0.25x, and x + 5 dimes, which have a value of 0.10(x + 5).
Since the sum of the value of dimes and quarters is $4.35, we can create the following equation:
0.25x + 0.10(x + 5) = 4.35
Simplify by distributing the 0.10 term:
0.25x + 0.10x + 0.50 = 4.35
Combine like terms:
0.35x + 0.50 = 4.35
Subtract 0.50 from both sides:
0.35x = 3.85
Divide both sides by 0.35:
x = 11
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Line m is perpendicular to x - 3y =-1 and passes through (9, 4). What is the slope of line m?
A. 1/3
B. -3
C. 4
D. 3
Answer:
d)3
Step-by-step explanation:
y=mx+b
x-3y=-1
reform as the equation above
x+1=3y
simplify --> y=1/3x+1/3
perpendicular lines have opposite-reciprocal slopes
so the answer is 3
Look at the image down below for question.
Using proportions and ratios, the answer is m / 160(2/5) = 37(7/10) / 100 which is option A
What is ProportionsProportions are relationships between two or more related numerical values, usually expressed as fractions or ratios. They are used to compare the relative sizes of different quantities, or to assess the relationship between two different sets of data. Proportions can also be used to make predictions about future events, or to compare different sets of data.
In this problem, we can approach this as
100 pounds on Earth = 37(7/10) pounds on Mars
160(2/5) pounds on Earth = m pounds on Mars
Cross multiply both sides and solve
This will become;
m = [160(2/5) * 37(7/10)] / 100
This can be written in ratio as;
m / 160(2/5) = 37(7/10) / 100
This is option A
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Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?
2
3
4
5
Answer:
5 months
Step-by-step explanation:
Make the question into an equation where the cost of one gym equal to the cost for the other.
60x = 100 + 40x
x represents how many months
20x = 100
x = 5
It would take 5 months of membership for the costs to be the same.
The answer is 5 months.
How to make a linear equation?The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.
How to solve a linear equation?To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.
The solution to the given problemLet the number of months taken be 'x'
SO the community fitness takes 60x money for x months
The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.
so equating the equation to find the value of x.
100+40x = 60x
Transposing 40x from LHS to RHS
100=60x-40x
20x = 100
Dividing the equation by 20 on both sides
x = 5
The membership costs will equal in 5 months.
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Which of the following statements should the salesperson use if he wished to ignore the objection?
a. "I think I might be able to explain that better to you after showing you this diagram."
b. "I think you have a point there; do you have any idea how we can improve that situation?"
c. "That's true. It does have a shorter shelf life, but that hasn't really been a problem. It is so popular it never gets to stay on the shelf that long anyway."
d. "Where did you hear that? Your source must have erroneous information."
e. "As I was saying, . . . "
E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.
Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.
Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.
When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.
To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.
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.Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs areA. organized in a standard manner across all projectsB. created in an iterative and incremental mannerC. designed so one can compare the current project to past projectsD. all of the aboveE. none of the above
The correct answer is B. created in an iterative and incremental manner.
Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.
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HELP ITS LITERALLY DUE TODAY
x -7 -6 -5 -4
y 21 17 13 9
Answer:
\(m=-4\)
Step-by-step explanation:
Two ways: pick two positions, calculate the difference in y and divide it by the difference in x
\(m= \frac{\Delta y}{\Delta x} =\frac{21-17}{-7-(-6)} = \frac4{-1}= -4\)
Or, the slope is also the variation in y for every unit increase of x.
In particular, the table gives unit increase in x (-7 to -6, and so on). The slope is simply "what happens to y". In our case, y decreases by 4, so the slope is -4
Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse
Answer:
B. No, Hannah should have used the ratio \( \frac{adjacent}{opposite} \)
Step-by-step explanation:
✍️The formula for calculating cotangent of an angle is given as:
\( cot = \frac{adjacent}{opposite} \).
The ratio, \( \frac{opposite}{adjacent} \), used by Hannah is the formula for calculating tangent of an angle.
Therefore, Hannah did not calculate the cotangent of the angle correctly.
She should have used, the ratio, \( \frac{adjacent}{opposite} \) instead.
Which of the following is true for a rigid motion
Definition- any transformation, as a translation or rotation, of a set such that the distance between points is preserved.
Types- translation , rotation, reflection, and glide reflection.
Tn the rigid motion, the distance between any two internal points stays the same as the body moves.
What is motion?In physics, motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed etc.Given is the rigid motion.
Rigid motion is a motion in which the distance between any two internal points stays the same as an idealized solid body moves around.
Rigid Body motion is one of three types mentioned below -
Translational Motion Rotational MotionGeneral Plane MotionTherefore, in the rigid motion, the distance between any two internal points stays the same as the body moves.
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5. The Smith family paid $146.50 for dinner. If they tipped 20%. How much
did they spend total including the tip?
Answer:
$175.80
Step-by-step explanation:
Answer:
175.80$
Step-by-step explanation:
In order to find the answer to this question you must first find 20% of the cost for the dinner, then add that answer to the cost of the dinner to receive your answer.
\(146.50\)
\(20 =146.50\)
\(Y=P\times X\)
\(20\times146.50\)
\(20\div100=0.2\)
\(0.2\times146.50\)
\(0.2\times146.50=29.3\)
\(=29.3\)
Now add:
\(146.50+29.3=175.80\)
\(=175.80\)
Hope this helps.
Simplify this expression:
13x+2y-10x-7y
Answer:
3x-5y
Step-by-step explanation:
⇒13x+2y-10x-7y
arrange the like terms together
⇒13x-10x-7y+2y
⇒3x-5y ...answer
hope that helps...
part 2!!! I just added a new screenshot to it btw
\(\\ \sf\longmapsto Perimeter=4a\)
\(\\ \sf\longmapsto Perimeter=4(2x+2)\)
\(\\ \sf\longmapsto Perimeter=8x+8\)
Step-by-step explanation:
solution,
Length=2x+2
Perimeter of a square=4l
=4(2x+2)
=8x+8
) Which operations are used in the expression 6(x + 8)? Choose ALL that apply.
multiplication
addition
division
subtraction
Answer:
Multiplication and addition
Step-by-step explanation:
When there are no signs between the brackets and a number, it is multiplication.
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A 2-yard piece of linen costs $18.54. What is the price per foot?
Answer:
3.09 per ft
Step-by-step explanation:
1 yd = 3ft
so 2 yd = 6ft
6ft = 18.54
18.54 /6ft
3.09 per ft
What’s the answer to this ??
Answer:
Option C
Step-by-step explanation:
zero's are
(2, 0) and (0, -2)
y= x-2, x<3
(3, 2) and (4,3)
y=x-1, x≥3
These are covered in Option C
There were approximately 3.3 * 10 8 people in the united states of america in 2010 the average person ate 1.5 * 10 2 lb of sugar that year approximately how many pounds of sugar were eaten in the us in 2010
Amount of sugar eaten in the US in 2010 = 4.95 x 10¹⁰ lb
Approximate number of people in the United States of America in 2010 = 3.3 x 10⁸
Amount of sugar ate by an average person in US = 1.5 x 10² lb
We have to find an approximate amount of sugar eaten in US in 2010.
It will be the product of the number of people in US and the sugar ate by a person in US.
So, Amount of sugar eaten in the US in 2010 approximately = 3.3 x 10⁸ x1.5 x 10²
= 4.95 x 10¹⁰ lb
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someone help please asap
Answer:
3/4 and -5/3
Step-by-step explanation:
You were on the right track for the first question. Instead of addition, use subtraction for both the denominator and numerator.
-4 - 8 = -12
-10 - 6 = -16
-12/-16 can be simplified to 3/4. The slope is 3/4. As a decimal, the slope is 0.75.
____________________________________
2nd question:
3 - (-3) = 6
-1 - 9 = -10
-10/6 can be simplified to -5/3.
Your department at the university invites n
ˉ
people to its weekly research seminar. The number N of people that show up in a seminar has been n l
,n m
,n h
in the last year with probabilities P(N=n l
)=p l
, P(N=n m
)=p m
,P(N=n h
)=p h
for 2≤n l
≤ n
ˉ
and p l
+p m
+p h
=1. We assume that each invitee is identical to others in terms of probability of showing up. You are also invited to seminars and let the event of your attendance to a seminar be denoted by A. a) What is the probability of n l
people in attendance if you attend, that is P(N=n l
∣A) ? b) Suppose that p h
+p l
=1 and find P(N=n h
∣A) and compare with P(N=n l
∣A). When you are in attendance, do you expect to find more or fewer people attending the seminar? c) While going for a seminar, you run into a friend and both of you realize that you are going to the same seminar. We let event A i
for i∈{1,2} be the attendance of you and your friend. What is the probability of n l
people in attendance if you both attend, that is P(N=n l
∣A 1
,A 2
) ?
Comparing P(N=n_l|A) and P(N=n_h|A), if p_h > p_l, then P(N=n_l|A) < P(N=n_h|A), which means that when you are in attendance, you expect to find fewer people attending the seminar.
a) The probability of n_l people in attendance given that you attend (P(N=n_l|A)) can be calculated using Bayes' theorem:
P(N=n_l|A) = (P(A|N=n_l) * P(N=n_l)) / P(A)
We assume that each invitee is identical to others in terms of probability of showing up, so P(A|N=n_l) = p_l.
Therefore, P(N=n_l|A) = (p_l * P(N=n_l)) / P(A)
b) If p_h + p_l = 1, it means that there are only two possible attendance outcomes: either n_l or n_h. In this case, P(N=n_h|A) = 1 - P(N=n_l|A).
Since p_h + p_l = 1, we can substitute P(A) = p_l * P(N=n_l) + p_h * P(N=n_h) into the equation from part a:
P(N=n_l|A) = (p_l * P(N=n_l)) / (p_l * P(N=n_l) + p_h * P(N=n_h))
Similarly,
P(N=n_h|A) = (p_h * P(N=n_h)) / (p_l * P(N=n_l) + p_h * P(N=n_h))
Comparing P(N=n_l|A) and P(N=n_h|A), if p_h > p_l, then P(N=n_l|A) < P(N=n_h|A), which means that when you are in attendance, you expect to find fewer people attending the seminar.
c) The probability of n_l people in attendance given that both you and your friend attend (P(N=n_l|A_1, A_2)) can also be calculated using Bayes' theorem:
P(N=n_l|A_1, A_2) = (P(A_1, A_2|N=n_l) * P(N=n_l)) / P(A_1, A_2)
Since the attendance of you and your friend is independent, we have:
P(A_1, A_2|N=n_l) = P(A_1|N=n_l) * P(A_2|N=n_l) = p_l^2
Therefore, P(N=n_l|A_1, A_2) = (p_l^2 * P(N=n_l)) / P(A_1, A_2)
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Un automóvil recorre 38.25 km con 2.5 litros de gasolina. ¿Cuántos kilómetros recorrerá con 11 litros?
The car will travel 170.1 kilometers with 11 liters of gasoline.
How many kilometers will the car travel with 11 liters of gasoline?To know distance the car will travel with 11 liters of gasoline, we will set up a proportion based on the given information:
==> Distance (km) / Fuel consumed (liters)
= Distance with 2.5 liters (km) / 2.5 liters
Let x represent the distance the car will travel with 11 liters of gasoline.
The proportion can be written as:
x km / 11 liters = 38.25 km / 2.5 liters
x = (11 liters * 38.25 km) / 2.5 liters
x = 170.1 km.
Translated question:
A car travels 38.25 km with 2.5 liters of gasoline. How many kilometers will it travel with 11 liters?
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A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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