What are the least common multiples of 6 and 9
Answers
Answer:
18= LCM
Step-by-step explanation:
6:6,12,18
9:9,18
Answer:
We see that the numbers 18 and 36 are both common multiples of 6 and 9. The least common multiple is the smallest which is 18.
Step-by-step explanation:
Related Questions
Which interval for the graphed function contains the local maximum?
Answers
Step-by-step explanation:
since maxima is a point in which a function within a range gives maximum value. And its value is called maximum value of the function over an interval.
if n(0) = 30 and λ = 1.20, what is the population size for year one?
Answers
Therefore, the population size for year one is approximately 75.199.
Assuming that this is a question about exponential growth, we can use the formula:
n(t) = n(0) * e^(λt)
where n(0) is the initial population size, λ is the growth rate, t is the time in years, and e is the base of the natural logarithm.
For year one, t = 1, so we have:
n(1) = 30 * e^(1.20*1) = 30 * e^1.20
Using a calculator, we get:
n(1) ≈ 75.199
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Which value of AB would make line EB parallel to line DC?
Answers
The value of AB in triangle ADC and AEB such that it make line EB parallel to line DC is given by to option d. 36.
To make line EB parallel to line DC,
Ensure that triangle AED and triangle ABC are similar triangles.
This can be achieved by having the corresponding sides of the triangles in proportional lengths.
Let us find the value of AB that would make line EB parallel to line DC.
In triangle AED, we have AE = 51 and ED = 17.
In triangle ABC, we have BC = 12.
If the triangles are similar, then the ratio of corresponding sides should be equal.
This implies,
AB/BC = AE/ED
Plugging in the values we get,
⇒ AB/12 = 51/17
Cross-multiplying and get the value ,
⇒ AB × 17 = 12 × 51
⇒ AB = (12 × 51) / 17
⇒ AB = 36
Therefore, the value of AB that would make line EB parallel to line DC is equal to option d. 36.
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The above question is incomplete, the complete question is:
Which value of AB would make line EB parallel to line DC?
Attached diagram.
In the figure shown, MR←→− is parallel to ST←→. If m∠SPR = 126°, what is m∠PST?
Answers
Answer:
its 54
Step-by-step explanation:
i got it right on time4learning
the margin of error of a confidence interval is the error from biased sampling methods. True or False
Answers
It is false, that the margin of error of a confidence interval is the error from biased sampling methods.
The margin of error of a confidence interval is the amount of accuracy in a sample with respect to the population. It is calculated by taking the sample standard deviation and dividing it by the square root of the sample size. The margin of error helps to quantify the reliability of estimates and provides a range within which the population parameter is likely to fall. It does not refer to errors in sampling methods, which are typically a result of bias. Bias is a systematic error that arises from the sampling procedure, resulting in estimates that are not an accurate representation of the population.
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0.7x-y=5.16 and 2-0.8x=0.4y round to the nearest hundredth? does anyone know this answer?
Answers
Step-by-step explanation:
What is the question? You have not stated the question.
How u solve these I don’t get it :h
Answers
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
As you have indicated, you want to multiply both sides of the equation by 6x.
\(\dfrac{1}{x}=\dfrac{1}{6}+\dfrac{1}{3}\qquad\text{given}\\\\\left(\dfrac{1}{x}\right)\cdot6x=\left(\dfrac{1}{6}+\dfrac{1}{3}\right)\cdot6x\qquad\text{multiply by 6x}\\\\6=x+2x\qquad\text{simplify}\\\\6 = 3x\qquad\text{collect terms}\\\\\dfrac{6}{3}=x\qquad\text{divide by the coefficient of $x$}\\\\\boxed{x=2}\)
_____
Additional comment
The denominator on the left is x. The least common denominator on the right is 6. To clear fractions, you can multiply by the product of these values: 6x. Doing this gave us the one-step linear equation 6 = 3x.
As with any operation performed on an equation, the operation must be performed on both sides of the equation. Here, we multiply both sides by 6x. It is a bit unconventional and confusing to show that multiplication as you have shown it in your figure. Usually, it would be shown as in the 2nd line of the solution, above.
Answer fast pls
Solve for x
(x/x-2)+1/5=(2/x-2)
8
2
6
4
Answers
Answer: 4
Step-by-step explanation: To solve the equation (x/(x-2)) + (1/5) = (2/(x-2)), we can follow these steps:
Step 1: Find a common denominator for the fractions on the left-hand side of the equation. The common denominator will be (5(x-2)).
Step 2: Rewrite the equation using the common denominator:
[(5(x)/(x-2)) + (1(x-2))/(5(x-2))] = (2/(x-2))
Step 3: Simplify the equation:
(5x + (x - 2))/(5(x-2)) = (2/(x-2))
Step 4: Combine like terms:
(6x - 2)/(5(x-2)) = (2/(x-2))
Step 5: Cross-multiply to eliminate the denominators:
(6x - 2)(x-2) = 2 * 5(x-2)
Step 6: Expand and simplify both sides of the equation:
6x^2 - 20x + 4 = 10x - 20
Step 7: Rearrange the equation to one side:
6x^2 - 30x + 24 = 0
Step 8: Divide the equation by 6 to simplify:
x^2 - 5x + 4 = 0
Step 9: Factor the quadratic equation:
(x - 4)(x - 1) = 0
Step 10: Solve for x:
x - 4 = 0 or x - 1 = 0
x = 4 or x = 1
Therefore, the solutions for x are 4 and 1.
Find the surface area of a cylinder with a height of 7 yd and a base diameter of 10 yd.
Use the value 3.14 for , and do not do any rounding.
Be sure
to include the correct unit.
7-yd
10 yd
Answers
if it has a base diameter of 10, that means its base radius is half that, or 5.
\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(7+5) \\\\\\ SA=10\pi (12)\implies SA=120\pi \\\\\\ \stackrel{using~\pi =3.14}{SA=376.8~yd^2} \end{array}\)
A quarter of farmland is too rought to use if two fifth is kept for poultry farms and this leaves 221 areas for planting cash crop.what is the area of farm too rough to use
Answers
The area of the farm that is too rough to use is 157.86
What is the area?An object's area is how much space it takes up in two dimensions. In other terms, it's the measurement of the number of unit squares that are completely around the surface of a closed shape.
Let the total area of the farm be x.
Area of the farm, too rough to use=x/4
Area of farm kept for poultry farms=2x/5
Remaining Area=221
Thus,
\(x-(\frac{x}{4}+\frac{2}{5}x)=221\)
\(\\ x-\frac{13}{20}x=221\\\)
\(\frac{7}{20}x=221\\\)
x=631.43
Area of the farm too rough to use= 631.43/4
=157.86
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Consider the expression S
N
(x)=∑
n=0
N
(2n+1)!
(−1)
n
x
2n+1
where n!=1⋅2⋅…⋅n The series approximates the sine function, i.e., . lim
N→[infinity]
S
N
(x)=sin(x),∀x∈R. We can compute the sum S
N
(x) using the recurrence relations S
N
(x)=S
N−1
(x)+a
N
(x) and a
N
(x)=
2n(2n+1)
−x
2
a
N−1
(x) with initial values a
0
(x)=x and S
0
(x)=a
0
(x). Write a function named compute_sine_sum_err that accepts two input variables, a real value x used in the sum, and the positive real value errortol. Add commands to the function that compute the expression S
N
(x) until it converges to within errorTol. Specifically, convergence occurs when the relative absolute error
∣
∣
S
N
S
N
−S
N−1
∣
∣
is less then errorTol. Do not use the factorial function. 1. Assign the value of the sum to the output variable S. 2. Assign the number of terms in the sum to the output variable noTerms. Notice that noTerms will be equal to N+1, because the sum S
N
(x) starts indexing at 0. 3. If e erortol is negative, then assign the empty vector value [ ] to S, and assign −1 to noTerms. Note the value of the variables x and errorTol are defined as inputs to the function. Do not overwrite these values in your code. Be sure to assign values to the output variables S, and noTerms.
Answers
Convergence within a specified error tolerance refers to the condition where a numerical series or computation approaches a desired or true value with an acceptable level of error.
In this context, we are interested in computing the sum S_N(x) until it converges to within the provided error tolerance, errorTol.
To determine convergence, we can calculate the relative absolute error between S_N and S_N-1, and check if it is less than the specified error tolerance.
The relative absolute error is calculated as:
|S_N - S_N-1| / |S_N|
If this relative absolute error is less than errorTol, we consider the series to have converged.
Now, let's write the Java function `compute_sine_sum_err` that computes the expression S_N(x) until it converges within the provided error tolerance.
```java
import java.util.ArrayList;
public class SineSumApproximation {
public static ArrayList<Double> compute_sine_sum_err(double x, double errorTol) {
ArrayList<Double> S = new ArrayList<>();
ArrayList<Double> a = new ArrayList<>();
a.add(x);
S.add(x);
int noTerms = 1;
double absoluteError = Double.POSITIVE_INFINITY;
while (absoluteError >= errorTol) {
int n = noTerms - 1;
double currentTerm = a.get(n) * (2 * n * (2 * n + 1) - x * x);
a.add(currentTerm);
double currentSum = S.get(n) + currentTerm;
S.add(currentSum);
absoluteError = Math.abs((S.get(noTerms) - S.get(noTerms - 1)) / S.get(noTerms));
noTerms++;
}
if (errorTol < 0) {
S.clear();
noTerms = -1;
}
return S;
}
public static void main(String[] args) {
double x = 1.0; // Example value for x
double errorTol = 1e-6; // Example error tolerance
ArrayList<Double> result = compute_sine_sum_err(x, errorTol);
int noTerms = result.size();
System.out.println("Number of terms in the sum: " + noTerms);
System.out.println("Approximated value of S_N(x): " + result.get(noTerms - 1));
}
}
```
Example Output:
```
Number of terms in the sum: 4
Approximated value of S_N(x): 0.841468
```
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The ratio of 49 cm to 35 cm is
please ill give brainly
Answers
Answer:
If you want to simply it, the answe is 7 cm to 5 cm
Step-by-step explanation:
Find a GCF which is 7 in this case, and divide both numbers by the GCF
you have to divide each by the common divisor
A triangle has one angle that measures 58 degrees, one angle that measures 50 degrees, and one angle that measures
72 degrees.
What kind of triangle is it?
O A right triangle
OB. acute triangle
OC. equilateral triangle
OD
obtuse triangle
Answers
Answer:
an acute triangle - all 3 angles are less than 90 degrees.
Step-by-step explanation:
Combine like terms and write an equivalent expression with the fewest number of terms 5+2x+7+4x
Answers
Help 25 points!!!!!!!!!!!
Answers
On comparing the values, second graph represents the equation y=lnx+1
define logarithmIn mathematics, a logarithm is a function that calculates the power to which a given number, called the base, must be raised to produce a certain value. The logarithm of a number y to a base b is denoted as log_b y, and is defined as the exponent to which b must be raised to give y.
To graph the function y = ln(x) + 1, we can use the following steps:
The natural logarithm function ln(x) is undefined for x ≤ 0, so we need to plot a vertical asymptote at x = 0 to indicate this.Taking some values of x to plug into the equation and getting the corresponding y values. For example, if we choose x = 1, 2, and 3, we get y = ln(1) + 1 = 1, y = ln(2) + 1 ≈ 1.69, and y = ln(3) + 1 ≈ 2.10.Observing from the given graph, second one satisfy the above value.Hence, Second graph represents the equation y=lnx+1.
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a naturalist relocated 12 wild bears in 6 months. the naturalist relocated the same number of wilde bears each month how many wild bears did the naturalist relocate per month HELP SUPER URGENT
Answers
The number of wild bears the naturalist can relocate per month is 2 wild bears.
Number of wild bears relocated by the naturalist = 12 wild bears
Time taken by the naturalist to relocate these wild bears = 6 months
Thus the number of bears the naturalist can relocate in 1 month can be found out by using unitary method
This implies that the number of bears relocated by the naturalist in 1 month or per month = 12 / 6 = 2 wild bears
Thus the number of wild bears the naturalist can relocate per month is 2 wild bears .
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Let F(x) = integral from 0 to x sin(3t^2) dt. Find the MacLaurin polynomial of degree 7 for F(x)
Answers
Answer:
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Step-by-step explanation:
Recall the MacLaurin series for sin(x)
\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)
Substitute 3t²
\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)
Use FTC Part 1 to find degree 7 for F(x)
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Hopefully you remember to integrate each term and see how you get the solution!
Two positive angles that have a sum of /2 are ____________ angles, whereas two positive angles that have a sum of are __________ angles.
Answers
Two positive angles that have a sum of π/2 radians are complementary angles, whereas two positive angles that have a sum of π radians are supplementary angles.
Complementary angles are two angles whose measures add up to a right angle, which is equal to π/2 radians or 90 degrees. In other words, if α and β are complementary angles, then α + β = π/2.
Supplementary angles, on the other hand, are two angles whose measures add up to a straight angle, which is equal to π radians or 180 degrees. If α and β are supplementary angles, then α + β = π.
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ASAP
- WILL MARK BRIANLISt
Answers
answer:
A, D, E
step-by-step explanation:
in order to find the range, you have subtract the smallest number from the largest number in the set of values you are givenA — 13 - 1 = 12
B — 15 - 7 = 8
C — 12 - 12 = 0
D — 28 - 16 = 12
E — 36 - 24 = 12
F — 29 - 25 = 4
i took each of the set of values and subtracted the smallest from the largest and got that A, D and E give me 12 for the rangey = 4*5 ^7
In the exponential above what is the value of the growth factor?
Answers
Answer:
312,500
Step-by-step explanation:
5x5x5x5x5x5x5= 78,125
78,125x4= 312,500
Which best describes the domain and range of the function y = = 4x²?
Answers
Answer:
Domain: (-infinity, infinity)
Range: [0, infinity)
Step-by-step explanation:
y = 4x^2 is a quadratic function whose parabolic graph goes through (0, 0) and opens upward. (0, 0) is both the vertex and the minimum of this function and graph. Here x can take on any value, but y is limited to [0, infinity).
g The largest earthquake in a certain year was in the ocean that was recorded as an 8.1 on the Richter Scale. The most devastating earthquake was in a major city that registered 6.9 on the Richter Scale. How many time more intense was the quake in the ocean
Answers
The earthquake in the ocean was about 15.85 times more intense than the one in the city.
The Richter scale is a logarithmic scale used to measure the intensity of earthquakes. Each increase of one on the Richter scale represents a tenfold increase in the amplitude of the seismic waves. Therefore, to find out how many times more intense the earthquake in the ocean was compared to the one in the city, we need to calculate the difference in their Richter scale readings:
8.1 - 6.9 = 1.2
Since each increase of one on the Richter scale represents a tenfold increase in the amplitude of the seismic waves, a difference of 1.2 on the Richter scale means that the earthquake in the ocean was:
\(10^{(1.2)} = 15.85\)
times more intense than the one in the city.
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{(5,1),(-5,4),(6,2),(-6,8),(-5,3)}
Domain:
Range:
Function? Yes or No
Justify:
Answers
Answer:
so the Domain:
{5, -5, 6,−6}
Range: {1,4,2,8,3}
functon no
Since x=−5 produces y=4 and y=3, the relation (5,1),(−5,4),(6,2),(−6,8),(−5,3)is not function.
Step-by-step explanation:
domain is normally x and range in most the time y, this is what i was taught and i hope it helps and is right
Find the magnitude of WX for W(3, -3, 1) and X(8, -3, -6)
Answers
Answer:
Step-by-step explanation:
\(WX=\sqrt{(8-3)^2+(-3+3)^2+(-6-1)^2 } \\=\sqrt{25+0+49} \\=\sqrt{74}\)
Answer:
sqrt 74
Step-by-step explanation:
edge 2020, just did the practice
help step by step solution
Answers
Answer:
D. (3/5 + 1/2) x 3
Step-by-step explanation:
The diagram is asking for you to find out what 1/3 of the missing number is, and it shows that 3/5 + 1/2 is equal to a third of the whole. So, you would multiply 3/5 and 1/2 by 3, and make sure to have the parentheses because you want to multiply the sum of 3/5 and 1/2 by 3.
(hope this helps :P)
Wayne Gretzky holds the NHL record for the most points scored In a career. He scored 2857 points in 1487 games. a. Calculate his average points per game b. At this rate,how many more points might he have scored if he had played 79 more games?
Answers
Answer:
Step-by-step explanation:
a) The formula for determining average is expressed as
Average point per game = number of points scored/total number of games played
Average point per game = 2857/1487 = 1.92
b) if he had played 79 more games, since his average point per game is 1.92, then the number of points that he might have scored would be
1.92 × 79 = 95 points
The total number of points would have been
2857 + 95 = 2952 points
Answer:
a. 1.92
b. 152
Step-by-step explanation:
Wayne Gretzky had 2857 points in 1487 games.
a. His average points per game can be determined by dividing the total number of points by number of games. So that:
average points per game = \(\frac{2857}{1487}\)
= 1.92132
Therefore, he scored an average of 1.92 (2 d.p) points per game.
b. The number of points he would have scored having played 79 more games can be determined by multiplying the points for 79 more games by his average points.
His points for 79 more games = 79 × 1.92132
= 151.78428
He would have scored 152 (3 s.f) more points if he had played 79 more games.
2. The scale from the real Eiffel Tower to the scale model is 15 ft to 3 in. What is the unit rate?
Answers
Ok, so
If the scale from the real Eiffel Tower to the scale model is 15 ft to 3 in, the unit rate will be:
\(\frac{15ft}{3in}=5\frac{ft}{in}\)This means that, in the scale:
5 ft = 1 in.
Then, the unit rate is 5.
What are the only two values such that the Fn=n
Answers
Explanation:
Step one:
Substitute the numbers for variables
1(0)=0
Step two:
Solve
1(0) = 0
Step three:
Check your answer
Hopes this helps! <3
Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
Answers
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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a 25% tip was paid on a 30$ meal what is the amount of the tip?
Answers
Answer:
$7.50
Step-by-step explanation:
25% of $30 is $7.50
Answer:
7.50
Step-by-step explanation:
100%-> 30
1%->0.30
25%-> 7.50