What is the greatest common factor of 138 and 345?
Answers
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
Related Questions
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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what is the sum of 5.3 x 10the power of 5 and 3.8 x 10 power to the 4 in a scientific notation
Answers
Answer:5.68x10^5
Step-by-step explanation:
Allen, Bill, and Carl split $2000 among them to be invested in different ways. Each begins with a different amount. At the end of one year, they have a total of $3000 dollars. Bill and Carl have both doubled their money, whereas Allen has managed to lose $200 dollars. What was Allen's original portion?
Answers
There are 20 students in a class. A student is randomly chosen each day to record attendance. What is the probability that the same kid gets picked to record attendance two days in a row?
Answers
Answer:
the probability is 1/20
A company produces optical-fiber cable with a mean of 0.3 flaws per 100 feet. What is the probability that there will be exactly 5 flaws in 1000 feet of cable? Round your answer to four decimal places.
Answers
Step 1
Given; A company produces optical-fiber cable with a mean of 0.3 flaws per 100 feet. What is the probability that there will be exactly 5 flaws in 1000 feet of cable? Round your answer to four decimal places.
Step 2
Let X denote the number of flaws in the optical cable.
The mean number of flaws per 100 feet =0.3
Thus the mean number of flaws per 1000 feet is;
\(\lambda=0.3\times\frac{1000}{100}=0.3\times10=3\)\(_^{X\approx P(3)}\)Applying the formula
\(P(X=x)=\frac{e^{-\lambda}(\lambda)^x}{x!}\)\(\begin{gathered} P(X=x)=\frac{e^{-3}(3)^5}{5!} \\ x=5 \\ P(X=5)=0.1008 \end{gathered}\)Answer;
\(\)Find x on the triangle
Answers
The length of side x is approximately 9.05 cm.
What is law of sines ?
The Law of Sines, also known as the Sine Rule, is a formula used to find unknown angles or sides of a triangle, given some combination of angle and side measurements. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. Mathematically, the Law of Sines can be expressed as follows:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the angles opposite those sides, respectively.
Given by the question:
To find x, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides.
Let's use the sine function to find the length of side AB:
sin A / AB = sin C / BC
sin 45 / x = sin 40 / 12
Rearranging and solving for x:
x = sin 45 * 12 / sin 40
x ≈ 9.05 cm
Therefore, the length of side x is approximately 9.05 cm.
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Instructions: Graph the following function. Then, state whether the function represents exponential growth or decay.
Answers
We must plot the function:
\(y=11^x.\)We see that this function is defined as a number to the power of x, so it is an exponential function.
Plotting the function, we get the following graph:
From the graph, we see that the function is increasing, so we conclude that the function is exponential growth.
AnswerGrowth
Take your time please.
Answers
b=8
c=20
Axis of symmetry= -b/2a
So,
-8/(2*2) = -8/4 = -2
Axis of symmetry is x=-2
Problems involving distance typically use the formula d
=
Answers
Answer: d=rt
Step-by-step explanation: the distance formula is speed times time. I’m guessing r=rate, and since speed and rate are similar I would say that’s the answer.
DUE IN A FEW MIN PLEASE HELP!!! SO CONFUSED! IM RUNNING OUT OF TIME AND DONT HAVE THE TIME TO TRY AND FIGURE IT OUT! PLEASE HELP!
QUESTION DOWN BELOW!
Answers
Answer:
This is a ssa situation, no triangle is possible.
Step-by-step explanation:
"SSA" means "Side, Side, Angle".
In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.
In triangle ABC:
A, B and C are the interior angles.a, b and c are the sides opposite the corresponding interior angles.Given:
m∠A = 44°side a = 12.6 cmside b = 19 cmThe angle that is between the sides a and b is angle C.
Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.
Law of Sines
\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:
\(\implies \sf \dfrac{\sin 44^{\circ}}{12.6}=\dfrac{\sin B}{19}\)
\(\implies \sf \sin B=\dfrac{19\sin 44^{\circ}}{12.6}\)
\(\implies \sf \sin B=1.0475007...\)
As -1 ≤ sin B ≤ 1, there is no solution for angle B.
Therefore, although this is an SSA situation, no triangle is possible.
5 All ping-pong tables are on sale for 25% off at Tables 'N Stuff. The
sale price of a ping-pong table is $158. What is the regular price
of the ping-pong table?
A $245.88
B $178.45
C $330.21
D $210.67
Answers
Answer:
Step-by-step explanation:
x^4+2x^3-12x^2+14x-5 > 0
Answers
The value of x is (-∞, -5) ∪ (1, ∞).
Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),
Solving for x,
Factors =
\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)
Therefore,
\(\left(x-1\right)^3\left(x+5\right) > 0\)
\(x < -5\quad \mathrm{or}\quad \:x > 1\)
Hence the value of x is (-∞, -5) ∪ (1, ∞).
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Juan is participating in a 4 -day cross-country biking challenge. He biked for 61, 70, and 59 miles on the first three days. How many miles does he need to bake on the last day so that his average (mean) is 61 miles per day
Answers
distribute 48xy + 36x
Answers
Answer:
48xy+36x
=6x(8y+6)
Step-by-step explanation:
Solve w=1/2x^2y for x
Answers
Answer : x= \(\sqrt{2wy}\)/ y
Step-by-step explanation:
You take your car in to get the oil changed. It costs $40 for the oil and $25 an hour for labor.
Write a linear equation that represents the total cost in dollars of the oil change if it requires x hours of labor.
Answers
A linear equation that represents the total cost in dollars of the oil change is Y = 25X + 40
What is a Linear Equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Linear Equations in Standard Form
The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable. The standard form of linear equations in two variables is expressed as, Ax + By = C; where A, B and C are any real numbers, and x and y are the variables.
Given :
Cost of the oil (calculated once) = $40
Cost of labour (calculated per hour) = $25
Thus , a linear equation that represents the total cost in dollars of the oil change if it requires x hours of labor can be expressed as Y = 25X + 40 where X represents no . of working hours of labour and Y represents total cost .
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I need help asap. Please help.
Answers
Answer:
kjhjbhjn h
Step-by-step explanation:
Find the area of the triangle.
3 9
A
5
B
?] units²
![Find the area of the triangle.3 9A5B?] units](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/aWZMIZBnhz8tUKqZNrW2mkI5u8UBMICx.png)
Answers
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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(16x^3)^3/4 Express in simplest radical form.
Answers
Answer:
8 x 3/4. Simplify using exponent rule with same exponent abn=an . bn:16 3/4 * x 3/4 Express as a product of p
Step-by-step explanation:
...
Part A and Part C the same? Why or why not?
Answers
Answer:
is part 1 and part 3 the same, no
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
Two adjacent angles form a straight angle. Which term best describes these two angles?
1. Supplementary angles.
2. Vertical angles.
3. Corresponding angles.
4. Complementary angles.
Answers
the answer would be supplementary angle, as an angle is supplementary when the measurements add up to 180 degrees
The entries in Table I are the probabilities that a random variable having the standard normal distribution will take on a value between 0 andz. They are given by the area of the gray region under the curve in the figure. TABLET NORMAL-CURVE AREAS 2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.2257 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4648 0.4719 0.4778 0.6 0.7 0.8 0.9 1.0 0.2580 0.2881 0.3159 0.3413 0.2324 0.2642 0.2939 0.3212 0.3461 0.2422 0.2734 0.3023 0.3289 0.3531 0.2454 0.2764 0.3051 0.3315 0.3554 0.2517 0.2823 0.3106 0.3365 0.3599 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 1.1 1.2 1.3 1.4 1.5 0.3749 0.3944 0.4113 0.4265 0.4394 0.3770 0.3962 0.4131 0.4279 0.4406 0.3810 0.3997 0.4162 0.4306 0.4429 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4725 0.4783 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 1.6 1.7 1.8 1.9 2.0 0.450S 0.4599 0.4678 0.4744 0.4798 0.4515 0.4608 0.4685 0.4750 0.4803 0.4525 0.4616 0.4692 0.4756 0.4808 0.4535 0.4625 0.4699 0.4761 0.4812 2.1 2.2 2.3 2.4 2.5 0.4826 0.4864 0.4896 0.4920 0.4940 0.4830 0.4868 0.4898 0.4922 0.4941 0.4834 0.4871 0.4901 0.4925 0.4943 0.4850 0.4884 0.4911 0.4932 0.4949 0.4854 0.4887 0.4913 0.4934 0.4951 0.4857 0.4890 0.4916 0.4936 0.4952 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0.4842 0.4846 0.4878 0.4881 0.4906 0.4909 0.4929 0.4931 0.4946 0.4948 0.4960 0.4961 0.4970 0.4971 0.4978 0.4979 0.4984 0.4985 0.4989 0.4989 2.6 2.7 2.8 2.9 3.0 0.4955 0.4966 0.4975 0.4982 0.4987 0.4956 0.4967 0.4976 0.4982 0.4987 0.4957 0.4968 0.4977 0.4983 0.4988 0.4962 0.4972 0.4979 0.4985 0.4989 0.4963 0.4973 0.4980 0.4986 0.4990 0.4964 0.4974 0.4981 0.4986 0.4990 Also, for 3 - 4.0, 5.0 and 6.0, the areas are 0.49997, 0.4999997, and 0.499999999. ^ The entries in Table II are values for which the area to their right under the 1 distribution with given degrees of freedom (the gray area in the figure) is equal toa. TABLE II VALUE OF d.f. Fo.050 os 0.005 d.. 63.657 9.925 1 2 3 4 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 0.010 31.821 6.965 4.541 3.747 3.365 1 2 3 4 5.841 4.604 4.032 S S 6 7 6 7 8 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 8 9 9 10 10 11 12 1.796 1.782 1.771 1.761 1.753 13 14 15 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 11 12 13 15 16 16 17 18 19 20 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 17 18 19 2.539 2.528 20 21 22 23 24 25 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 21 22 23 24 25 2.492 2.485 2.056 2.052 26 27 28 29 Inf. 1.706 1.703 1.701 1.699 1.645 2.479 2.473 2.467 2.462 2.326 2.779 2.771 2.763 2.048 26 27 28 29 Inf. 2.045 2.756 2.576 1.960 Question 2 (20 marks) A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 7 5 15 8 10 3 9 A report presented by this tutorial school 5 years ago indi that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part (a) is constructed at 99% instead of 95%, would the interval be (1) wider, (II) narrower, or (III) no change in width? (State your answer, no explanation is needed in part (C).)
Answers
From the table, the area between 0 and 2 under the standard normal distribution curve is 0.4772. Therefore, the probability that a random variable having the standard normal distribution will take on a value between 0 and 2 is 0.4772.
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
Answers
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
The function f(x) = 12,419(1.4)x represents the number of visitors to a website x years after it was launched. Each year, the number of visitors is _____ the number the year before.
choice a-- 4 times
choice b-- 1.4 times
choice c-- 4 more than
choice d-- 0.4 times
Answers
Answer:
Step-by-step explanation:
I do not understand this can someone please help?
Answers
Answer:
1. x = 18
2. x = 154
Step-by-step explanation:
2 12
------- = -------
3 x
3 × 12 = 36
2 × x = 2x
36 = 2x
÷2 ÷2
---------------
x = 18
----------------------------------------------------------------------------------------------------------
6 84
------- = -------
11 x
6 × x = 6x
84 × 11 = 924
6x = 924
÷6 ÷6
-----------------
x = 154
I hope this helps!
Jan went to the mall to buy 9 crop tops but she seen 201 other and she 1,000,000,000,000,000,000,000,00 dollars
Answers
Answer: buy all the crop tops
Step-by-step explanation:
Answer:
Well with that amount of money u should most definitely buy them, if you liked the of course
Step-by-step explanation:
I'm just saying
In a sample of 63 cans, the average diameter was found to be 3.7in. with a standard deviation of 0.32. Give a point estimate for the population variance of the diameter of the cans
Answers
Answer:
0.32
Step-by-step explanation:
Given that:
The sample size of the population = 63
The sample mean = 3.7
The sample standard deviation = 0.32
Thus, the point estimate for the population variance of the diameter of the cans is said to be the standard deviation of the population = 0.32
Suppose the variance (S²) is given as 0.32
Then the standard deviation will be \(\sqrt{S^2}\)
=\(\sqrt{0.32}\)
= 0.57
Then, since the sample standard deviation is the point estimate, we would have had 0.57 as the answer.
Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.
Answers
Answer:
no he will make it home at 18:15
Step-by-step explanation:
\(4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15\)
What is the range of f(x) = 3* + 9?
O {yly<9}
O {yly>9}
O {yly> 3}
O {yly<3}
Answers
On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)
What is range?Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.
The regions where the absolute values are zero are known as the vertex points of an absolute value function.
\(|x + 1| = 0\\x + 1 = 0\\x = -1\)
\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)
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The inventory policy of a retail company is to hold only the highest sales volume items in its distribution center and to ship the remaining lower sales volume items direct from the respective manufacturers to its stores. This policy is intended to reduce transportation costs. Total annual sales of the company are $1 billion. It is known that half of this amount is accounted for by only 15% of the items. In addition, it is assumed that equation (8.1) in the text can be used to model the Pareto cumulative distribution. (a) If the company wants to stock the top selling 35% of the items in the distribution center, what is the expected value of these items in terms of annual sales? (b) On the other hand, if the company wants to stock only those items accounting for the top 75% of annual sales, what proportion of the items corresponds to this sales volume?
Answers
Answer:
a. 75.3% is the expected percentage and this value corresponds to 753 million dollars
b. 34.62% of items corresponds to 75% of this sales volume
Step-by-step explanation:
a. A =x(1-y)/(y-x)
X = 0.15, y = 0.50
A = 0.15(1-0.50)/(0.50-0.15)
= 0.15(0.5)/0.35
A = 0.2143
we have
x = 0.35
y = 0.35(1+0.2143)/(0.2143+0.35)
y = 0.425005/0.5643
y = 0.7531
y = 75.3%
75.3% is the expected percentage and this value corresponds to 753 million dollars
b. y = 0.75
find x
y = x(1+A)/(A+x)
x = yA/(1+A-y)
x = 0.75(0.2143)/1+0.2143-0.75)
x = 0.160725/0.4643
x = 0.3462
34.62% of items corresponds to 75% of this sales volume