Answer:
d. 87.92
Step-by-step explanation:
3.14*2*14=87.92
i know its right im positive
Answer:
87.92
Step-by-step explanation:
The formula for the circumference of a circle is 2πr.
We know that r is 14 and π is 3.14.
Let's plug in 3.14 for π and 14 for r.
2 * 3.14 * 14 = 87.92
Which of the following are perfect squares? Check all that apply.
Answer: 16, 64, and 49
Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.
11 is not a perfect square since nothing can
be multiplied by itself to give us 11.
The same is true for 62 and 15.
16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.
That number is 4 since 4 × 4 = 16.
64 is also one since 8 can be multiplied by itself twice to give us 64.
49 is also one since 7² or 7 × 7 is 49.
Answer:D,E and F
Step-by-step explanation:
Perfect squares are numbers in which their square roots are whole numbers.
From the options
√16 =4
√64 =8
√49 =7
Five runners need to be arranged in 5 lanes for a race so that there is a runner in each lane. How many unique ways are there to arrange the runners in the 5 lanes?
Answer:
25
Step-by-step explanation:
When answer questions about unique combinations, there are usually two ways people go about finding the solutions.
First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.
The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.
So,
5 runners * 5 lanes = 25 possible combinations for each lane and runner
The number of unique ways that the runner can be arranged in 5 lanes for a race is 120.
What are Combinations?Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.
Total number of runners = 5
Total number of lanes = 5
Number of ways that 5 runners can be arranged = 5! = 120
Hence the number of ways is 120.
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PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3}
3
1
of an hour. His swimming partner, Mila, swam \frac {2}{3}
3
2
of Logan's distance in \frac {1}{4}
4
1
of an hour.
Answer:
v = 0.625 m/s
Step-by-step explanation:
Given that,
Total distance is 750 m
Logan swan 750 m in 1/3 hours
His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 hours.
Note: We need to find Logan's average swimming speed.
Average speed = total distance/total time taken
\(v=\dfrac{750\ m}{\dfrac{1}{3}\times 3600\ s}\\\\v=0.625\ m/s\)
So, Logan's average speed is 0.625 m/s.
Please help me with my homework!!
(btw i choosed A randomly but it doesn't mean it's correct bc it's green it turns green for all all them so don't be confused about that)
Answer: B
Step-by-step explanation:
12 1/3
Which is true?
5/4 > 5/6
3/3 > 4/3
3/3 < 3/6
Answer:
5/4 > 5/6
Step-by-step explanation:
Find the volume of each composite figure to the nearest whole number.
The volume of the composite figure in this problem is given as follows:
76 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.Hence the volume is given as follows:
2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.
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Under an insurance policy, a. maximum of five claims may be filed per year by a policyholder. A "claim" generally refers to an amount or a policyholder request for an amount to be payable by an insurer for losses covered by an insurance policy. Let Pr be the probability that a policyholder files n claims during a given year, where n= 0,1,2,3,4,5. An actuary makes the following observations: (i) Pn > Pn+1 for n = 0,1,2,3,4. (ii) The difference between Pn and Pn, is the same for n = 0,1,2,3, 4. (iii) Exactly 40% of policyholders file fewer claims during a given year. Calculate the probability that a random policyholder will file more than three claims during a give year.
From the observations, we can conclude that the probabilities form a geometric sequence, where each subsequent probability is a constant factor smaller than the previous one. Let's call this constant factor "q".
(i) Pn > Pn+1 for n = 0,1,2,3,4 means that Pn = P0 * q^n for some value of q such that 0 < q < 1.
(ii) The difference between Pn and Pn+1 is the same for n = 0,1,2,3,4 means that
Pn - Pn+1 = P0 * q^n - P0 * q^(n+1)
= P0 * q^n (1 - q) is the same for all n.
Let's call this difference "d".
d = P0 * q^n (1 - q) for all n.
We know that exactly 40% of policyholders file fewer claims during a given year, so P0 = 0.4.
Using this information, we can find q:
d = P0 * q^n (1 - q)
= 0.4 * q^n (1 - q)
= 0.4 * q^n - 0.4 * q^n * q
= 0.4 * q^n (1 - q)
= d.
So,
0.4 * q^n = d
And
q = d / (0.4 * q^n)
Substituting n = 0:
q = d / (0.4)
Now we can find P3 and P4:
P3 = P0 * q^3
P4 = P0 * q^4
Finally, the probability that a random policyholder will file more than three claims during a given year is
1 - (P0 + P1 + P2 + P3)
= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3).
Substituting the values we found for P0, q, and P3:
= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3)
= 1 - (0.4 + 0.4 * (d / 0.4) + 0.4 * (d / 0.4)^2 + 0.4 * (d / 0.4)^3)
= 1 - (1 + (d / 0.4) + (d / 0.4)^2 + (d / 0.4)^3)
This is the probability that a random policyholder will file more than three claims during a given year.
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Peta says the volume of this rectangular prism is 16 cubic units. Do you agree with Peta? Explain why or why not.
The Solution:
Given:
We are required to explain why we agree or disagree with Peta's claim that the volume of the given shape is 16 cubic units.
Step 1:
Find the volume of the shape.
\(\begin{gathered} V=L\times W\times H \\ In\text{ this case,} \\ V=volume=? \\ L=length=3\text{ units} \\ W=width=2\text{ units} \\ H=height=5\text{ units} \end{gathered}\)Substituting these values in the formula, we get
\(V=3\times2\times5=30\text{ cubic units}\)Thus, I do not agree with Peta that the volume of the shape is 16 cubic units because the true volume of the shape is 30 cubic units.
Please solve If ln A= 3/2 and ln B = 5 then ln (a^2)/b =?
Answer:
9/20 or 0.45 as a decimal.
Step-by-step explanation:
(a^2)/b
= (3/2)^2 / 5
= 9/4 / 5
= 9/4 * 1/5
= 9/20.
Sporting Equipment, Inc. makes two types of balls: Soccer balls and Cork balls. The making of each soccer ball and cork ball requires 3 hours and 4 hours of production time, respectively. For the next month, the total production hours of 500 are available. Also, the combined production quantity for these two balls must be at least 150 units. The objective for this linear programming model is to fulfil the given production requirements at a minimum cost. The production cost for each Soccer ball is S7 and each Cork ball is $9.
1. Formulate the problem, using the following decision variables:
S = number of Soccer balls manufactured
C = number of Cork balls manufactured
2. The objective function is:
A. Maximize 9S + 7C
B. Minimize 7S + 9C
C. Minimize 9S + 7C
D. Maximize 7S + 9C
3. The constraint equation for the production hours is:
A. 3S + 4C >= 500
B. 4S + 3C <= 500
C. 4S + 3C <= 500
D. 3S + 4C <= 500
4. The constraint equation for the combined production quantity is:
A. S + C <= 150
B. S + C >= 150
C. S + C = 150
D. S + C =/150
5. If the company produces 100 soccer balls and 50 cork balls, the cost of production is:
a. $1250 b. $1350 c. $1150 d. $2000
Answer:
2) B). Minimize 7S + 9C
3) D) . 3S + 4C ≤ 500
4) B). S + C ≥ 150
5) C) $1150
Step-by-step explanation:
The company makes two types of balls, the balls and their costs are written below:
Soccer ball, S = $7
Cork ball, C = $9
Production time of each ball:
Soccer ball = 3 hours
Cork balls = 4 hours
2) To find the objective function.
Since the cost of each soccer ball is $7 and S balls are produced, the total cost of soccer balls is 7S.
Similarly, the cost of each cork ball is $9 and C balls are produced, total cost is 9C.
The objective function maximize profits and minimizes losses. Here, the objective for this linear programming model is to fulfil the given production requirements at a minimum cost.
Therefore the objective function here is: Minimize 7S+9C
3)The constraint equation for the production hours.
To produce one soccer ball, 3 hours are needed, i.e 3S, to produce one Cork ball 4 hours are needed, i.e 4C.
Since we are given a maximum productin time of 500 hours, the constraint equation for the production hours would be:
3S + 4C ≤ 500
4) Since we are told the combined production quantity for these two balls must be at least 150 units, the constraint equation for the combined production quantity is:
S + C ≥ 150
5)Since each soccer ball costs $7, 100 soccer balls would cost:
7*100 = $700
Similarly, since each Cork ball costs $9, 50 cork balls would cost:
9*50 = $450
Therefore the total cost of production would be:
$700 + $450 = $1,150
Note: Question number 1 isn't a question, it's an expression.
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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What’s 34 divided 475 remainder:
Answer:
it is 0.07157894737 I am sure
Solve for x by "Factoring". You MUST show every level of work (like you saw in the lesson) in order to receive full credit.
x^2-x-42
=(x^2+6)+(-7x-42)
=x(x+6)-7(x+6)
=(x+6)(x-7)
keep going to solve for x
The factorization of the quadratic expression 25x² - 4 gives us (x + 6)(x - 7) where; x = -6 or 7
How to factorize a quadratic equation?We are given the quadratic equation as;
x² - x - 42
Now, this quadratic equation can be written as;
x² + 6x - 7x - 42
We can group this using algebra properties to get;
(x² + 6x) - (7x + 42)
Collecting like terms gives us;
x(x + 6) - 7(x + 6)
Thus, the factorization is;
(x + 6)(x - 7)
Thus, the values of x would be;
x + 6 = 0
x = -6
x - 7 = 0
x = 7
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I can't figure it out can you please help me
Answer:
Nah you're correct!
Step-by-step explanation:
When you add 3$ it will show as +3
Good Job!!
Answer:
tysm
Step-by-step explanation:
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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Helppppp !!!
For each relation, decide whether or not it is a function.
1. Relation 1 is a function
2. Relation 2 is a function
3. Relation 3 is not a function
4. Relation 4 is a function
How to determine if each relation is a functionFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4)
Relation (1)
This relation is a function
This is because each range value point to unique domain values
Relation (2)
This relation is a function
This is because each range value point to unique domain values
Relation (3)
This relation is not a function
This is because domain values w have different range values.
Relation (4)
This relation is a function
This is because each range value point to unique domain values
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Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer.
Let the largest integer equal x, the 3rd number ( smallest-number) would be x - 2
The sum of the two would be:
X + 5(x-2) = -244
Simplify:
X + 5x -10
Combine like terms
6x -10 = -244
Add 10 to both sides:
6x = -234
Divide both sides by 6
X = -234/6
X = -39
The smallest number is x-2 = -39-2 = -41
The answer is -41
triangle ABC: A(2,-3), B(-4,5), C(-5,0).
dilate triangle ABC by a scale factor of 4.
PLEADR HELP
The coordinates of the vertices of the new triangle are A'(8,-12), B'(-16,20), C'(-20,0). The area of the new triangle will be 4 times the original triangle.
What is the scale factor?The scale factor is defined as the ratio of the new image's size to the old image's size. The dilation center is a fixed point in the plane. The dilation transformation is defined based on the scale factor and the center of dilation. If the scale factor is greater than one, the image will stretch.
Given that ABC is a triangle. The vertices of the triangle are A(2,-3), B(-4,5), C(-5,0).
The triangle is dilated by a scale factor of 4.
To find the coordinate of the new triangle multiply 4 with x-coordiante and y-coordiante of the vertices of the triangle ABC.
The new coordinate of A is (2×4,-3×4) → A'(8,-12).
The new coordinate of B is (-4×4,5×4) → B'(-16,20).
The new coordinate of C is (-5×4,0×4) → B'(-20,0).
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the first drop down answers are 18,10,7,14the second drop down box options are 16.5,30.5,44.5the third options are 2.5, 1.5, 1,3 the fourth options are 14n, 18n, 7n, 10nthe fifth options are each movie tickets cost the same amount, there is a service fee for buying tickets online, the cost increase as tge number of tickets increase, the leaste amount of tickets you cab buy is 1
Answer:
Recursive formula:
a_n = a_n-1 + 14,
a_1 = 16.5
Explicit formula: a_n = 14(n - 1) + 16.5
Each movie costs the same amount.
Explanation:
Looking at the numbers we see that each next term a_n is 14 added to the previous term, a_n-1 and the first term a_1 is 16.5; therefore, we can say
\(\begin{gathered} a_n=a_{n-1}+14, \\ a_1=16.5 \end{gathered}\)
Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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what is the value of x?
Step-by-step explanation:
Continuation of the answer
4x=180 degrees
X=180/4=45 degrees.
Mr. Dennison bought us teachers 5 1/2 boxes of donuts. We destroyed them - We
ate 3 9/10 boxes! How nany boxes are leftover?*
Answer:
1 3/5 boxes
Step-by-step explanation:
There are 5 1/2-3 9/10 boxes left over. We need to simplify this expression.
First, convert both fractions to improper fractions:
11/2-39/10
Now, convert both fractions to have a common denominator of 10:
11/2*5/5 (note we can only do this because any number over itself is equivalent to 1, so technically this is multiplying the number by 1)
55/10-39/10=16/10
Convert it back into a mixed fraction:
1 6/10=1 3/5 boxes
Answer:
1 3/5 boxes
Step-by-step explanation:
5 1/2=5 5/10
leftover=5 5/10-3 9/10=1 6/10=1 3/5
make sure to take 1 from 5
1=10/10
and add it to 5/10 since cant' take away 9/10
Your cell phone company charges $20 a month plus $0.50 per text message.
What is the linear equation that would represent the total amount paid in one month?
Answer:
20 + 0.50x = m
Step-by-step explanation:
Key:
x = number of messages
m = cost per month
Hope this helps and I hope u have an Amazing day!!
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
Pls hurry im timed ...................................
Answer: 12 miles west
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
5 to the 3rd power times 5x
C and B sorry if I responded late I looked it up on my answer sheet
PLEASE I HAVE 20 MINUTES
(Thanks in advance :)
Answer: 56.52mm
Step-by-step explanation:
First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.
The equation for the circumference of a circle is:
C = 2πr
C = 2 x π x 225
C = 1413
Then, you divide it by 25
1413/25 = 56.52