Answer:
1/3
Step-by-step explanation:
If you want to write the fraction in its lowest terms, all you have to do is simplify!! Simplifying is easy; all you have to do is divide on the top and bottom of the fraction by the same number.
So, to simplify 6/18, figure out what the highest number is that can go into both numbers in the fraction. For this problem, the highest number is 6.
6 divided by 6 is 1.
18 divided by 6 is 3.
The simplified answer comes out as 1/3...you can also check it by multiplying 1 and 3 by 6.
1 multiplied by 6 is 6.
3 multiplied by 6 is 18.
So, 6/18 in lowest terms is 1/3!!
I hope you understood...have a great day :)
2. Combine Like terms:
4a + 5-a + 2
Answer:
it is a anwser
Step-by-step explanation:
or the circle below, find the equation that represents that circle.
The general form for the equation of a circle is given by:
\((x-x_0)^2+(y-y_0)^2=r^2...(1)\)Where (x₀, y₀) are the coordinates of the center, and r is the radius. From the problem, we identify:
\(\begin{gathered} (x_0,y_0)=(1,0) \\ r=3 \end{gathered}\)Finally, using (1):
\(\begin{gathered} (x-1)^2+(y-0)^2=3^2 \\ \\ \therefore(x-1)^2+y^2=9 \end{gathered}\)let be an orthonormal basis of such that . let , and let , , be scalars such that . what is ?
The value of C3 is -1 (to two decimal places) in the given orthonormal basis B, where v = c1b1 + c2b2 + c3b3.
We know that v = c1b1 + c2b2 + c3b3, where v = [1, V2, -1] and B = (b1, b2, b3) is an orthonormal basis of R^3.
Therefore, we have:
c1b1 + c2b2 + c3b3 = [1, V2, -1]
Taking the dot product of both sides with b3, we get:
(c1b1 + c2b2 + c3b3) · b3 = [1, V2, -1] · b3
Since B is an orthonormal basis, we have:
b1 · b3 = 0
b2 · b3 = 0
b3 · b3 = 1
Therefore, the above equation simplifies to:
c3 = [1, V2, -1] · b3 = (1)(0) + (V2)(0) + (-1)(1) = -1
Hence, C3 = -1 (to two decimal places).
By using orthonormal basis, The value of C3 is equal to -1 (upto two decimal place).
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_____The given question is incorrect, the correct question is given below:
Orthonormal basis Let B := (bi, b2, bz) be an orthonormal basis of R3 such that 1 b3 V2 -1 0 Let 1 v= and let C1, C2, C3 be scalars such that v = cibi + c2b2 + c3b3. What is C3 ? C3 = number (2 digits after decimal)
Solve: 8- (y + 3) = 11
y = 6
y = 3
y=0
y = -6
Answer:
y = - 6
Step-by-step explanation:
Given
8 - (y + 3) = 11 ← distribute and simplify left side
8 - y - 3 = 11
5 - y = 11 ( subtract 5 from both sides )
- y = 6 ( multiply both sides by - 1 )
y = - 6
Let x represent the amount of yarn needed for each item.
Answer:
The answer is c
Step-by-step explanation:
A programmed decision is a repetitive decision that can be handled by a routine approach. Indicate whether the statement is true or false.
True.The statement "A programmed decision is a repetitive decision that can be handled by a routine approach". Programmed decisions are typically made in response to recurring situations and can be addressed using established processes or guidelines, making the decision-making process more efficient.
A programmed decision refers to a decision that is repetitive and can be handled by a routine approach. These decisions are typically structured and well-defined, with established procedures or rules in place to guide the decision-making process. Programmed decisions are often based on predetermined criteria and do not require extensive analysis or evaluation. They can be automated and handled systematically, allowing for efficient and consistent decision-making in routine situations.
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If a cheetah travels 50 miles per day, how many feet per hour does the cheetah travel?
HELP FAST
26400 is what they travel in feet in a day divide that by 24 and that should be your answer
Write the expression as the logarithm of a single number or expression. Assume that all variables represent positive numbers. 3logx+4logy−2logz 3logx+4logy−2logz=
The expression 3logx+4logy−2logz` can be written as `log(x³y⁴/z²).
The given expression is:
3logx+4logy−2logz.
We are to write the expression as the logarithm of a single number or expression, and we assume that all variables represent positive numbers.
Expressing the given expression in the form of the logarithm of a single number or expression, we can do so by using the following rule:
logbM + logbN = logb(MN) (logarithmic product rule) and
logbM - logbN = logb(M/N) (logarithmic quotient rule)
Hence,
3logx + 4logy - 2logz
= logx³ + logy⁴ - logz²
= log(x³y⁴/z²)
Therefore, 3logx+4logy−2logz` can be written as `log(x³y⁴/z²).
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The difference between 8 forty-sevens and 7 forty-sevens.
Answer:
47
Step-by-step explanation:
No matter what number you do if there is one left then it's that number
So dif between 8 and 7 is 1
1*47 = 47
(6a⁴)³
reduse the equation to its simplest form
Answer:
Step-by-step explanation:
Two properties used are: \((a*b)^{m} = a^{m}*b^{m}\\\) and \((a^{m})^{n}=a^{m*n}\)
\((6a^{4})^{3}=6^{3}*(a^{4})^{3} = 216a^{4*3} = 216a^{12}\)
The given curve is rotated about the y -axis. Find the area of the resulting surface x = va? - y?, O< y
The area of the surface generated by rotating the curve x = √(a^2 - y^2) about the y-axis is 2π a^2.
To find the area of the surface generated by rotating the given curve x = √(a^2 - y^2), where 0 < y < a, about the y-axis, we can use the formula for the surface area of a solid of revolution.
The surface area formula for rotating a curve about the y-axis is given by:
A = 2π ∫[a, b] x(y) √(1 + (dx/dy)^2) dy,
where x(y) represents the equation of the curve and dx/dy is the derivative of x with respect to y.
In this case, the equation of the curve is x = √(a^2 - y^2). Taking the derivative of x with respect to y, we have dx/dy = -y/√(a^2 - y^2).
Substituting these values into the surface area formula, we get:
A = 2π ∫[0, a] √(a^2 - y^2) √(1 + (y^2/(a^2 - y^2))) dy.
Simplifying the expression under the square root, we have:
A = 2π ∫[0, a] √(a^2 - y^2) √(a^2/(a^2 - y^2)) dy.
Canceling out the common terms, we get:
A = 2π ∫[0, a] a dy.
Integrating with respect to y, we have:
A = 2π a[y] evaluated from 0 to a.
Substituting the limits of integration, we get:
A = 2π a(a - 0) = 2π a^2.
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A plane leaves at 11:22 a.m. and arrives at 3:13 p.m. How long was the flight?
A. 3 hours and 51 minutes long
B. 3 hours and 35 minutes long
C. 14 hours and 35 minutes long
D. 4 hours and 35 minutes long
E. 8 hours and 9 minutes long
Answer:
A. 3 hours and 51 mins long
Step-by-step explanation:
22-13= 9 min difference
11-3=4 but since there is a 9 min difference it would be 9 mins away from 4 hours so that why is it 3 hours and 51 minutes long
hope this wasnt confusing
The cumulative distribution function of continuous random variable X is given by F(x) = 0, x < 0 23,0 1 (a) Find P (0.1 < X < 0.6). (b) Find f(x), the probability density function of X. (c) Find X0.6, the 60th percentile of the distribution of X.
A. P(0.1 < X < 0.6) = F(0.6) - F(0.1) = 1 - 0.23 = 0.77.
B. the PDF of X is given by:
f(x) = 0 for x < 0
f(x) = 23 for 0 ≤ x < 1
f(x) = 0 for x ≥ 1
C. X0.6, the 60th percentile of the distribution of X, is equal to 1.
How did we get these values?To answer these questions, use the given cumulative distribution function (CDF) and perform the necessary calculations.
(a) To find P(0.1 < X < 0.6), calculate the difference between the CDF values at those points. The CDF is defined as F(x):
P(0.1 < X < 0.6) = F(0.6) - F(0.1)
Since the CDF is given as a piecewise function, evaluate it at the specified points:
F(0.6) = 1
F(0.1) = 0.23
Therefore, P(0.1 < X < 0.6) = F(0.6) - F(0.1) = 1 - 0.23 = 0.77.
(b) To find the probability density function (PDF) f(x), we can differentiate the CDF. The PDF is the derivative of the CDF:
f(x) = d/dx [F(x)]
Differentiating each part of the piecewise CDF function:
For x < 0, f(x) = 0 (since F(x) is constant in this interval).
For 0 ≤ x < 1, f(x) = d/dx [23x] = 23.
For x ≥ 1, f(x) = 0 (since F(x) is constant in this interval).
Therefore, the PDF of X is given by:
f(x) = 0 for x < 0
f(x) = 23 for 0 ≤ x < 1
f(x) = 0 for x ≥ 1
(c) To find X0.6, the 60th percentile of the distribution of X, we need to find the value of x for which F(x) = 0.6. From the given CDF, we know that F(x) = 0.6 for x = 1. So X0.6 = 1.
Therefore, X0.6, the 60th percentile of the distribution of X, is equal to 1.
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3x-4x-4-x+65=83x-8x+50
Answer:
\(x=\frac{1}{7}\)
Step-by-step explanation:
\(3x-4x-4-x+65=83x-8x+50\)
\(3x-4x-x-4+65=83x-8x+50\)
\(-2x-4+65=83x-8x+50\)
\(-2x+61=83x-8x+50\)
\(-2x+61=75x+50\)
\(-2x+61-61=75x+50-61\)
\(-2x=75x-11\)
\(-2x-75x=75x-11-75x\)
\(-77x=-11\)
\(\frac{-77x}{-77}=\frac{-11}{-77}\)
\(x=\frac{1}{7}\)
Answer:
x=1/7
Step-by-step explanation:
3x-4x-4-x+65=83x-8x+50
Solving the right side of equation we have;
83x-8x+50 = 75x +50
Solving the left side of the equation we have;
3x-4x-4-x+65= -2x +61
Equating left side and right side.
-2x +61= 75x +50
by grouping terms with x , we have :
-2x- 75x = -61+50
-77x= -11
x= -11/ -77 = 1/7
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Find the value of x with the other angles of 33 and 99
Answer:
48°
Step-by-step explanation:
33+ 99= 132
180 is the sum of all angles so u would subtract 132 from 180 giving you the answer
Answer:
If x is the last angle of a triangle, x=48. is its a just angles its, x=228.
Step-by-step explanation:
If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.
If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.
Can I still use this say yes or no and and use the hearts so I can know if I can the white thing Brooke off
Answer:
you can but dont touch anything inside i did when i was a kid and electrocuted myself.
Step-by-step explanation:
careful. i dont recomend using it though
Answer:
that happed to me i still use the outlet sometime but i wouldn't take any chances
Step-by-step explanation:
a company orders 29 boxed lunches from a deli for $339.30. assume each boxed lunch is the same price. if c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.
Answer:
11.7b
Step-by-step explanation:
If you do 339.30 divided by 29 it equals 11.7 but the full equation would be c=11.7b
The proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:
c = (339.30 / 29) * b
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
Let's assume that each boxed lunch costs the same amount, denoted by the variable 'x'.
We are given that the company ordered 29 boxed lunches for a total cost of $339.30. Therefore, we can write the equation:
29x = 339.30
To find the cost 'c' for any number 'b' of boxed lunches, we can set up a proportion:
29x / 29 = 339.30 / b
Simplifying this equation, we get:
x = 339.30 / 29
Now, we can substitute this value of 'x' back into the equation:
c = bx = b * (339.30 / 29)
Therefore, the proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:
c = (339.30 / 29) * b
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Which interval contains 11 states? Check all that apply. 0 to 3 3 to 6 6 to 9 9 to 12 12 to 15 15 to 18 18 to 21
The intervals that contain 11 states, are given as follows:
3 to 6.6 to 9.What is shown by the bar graph?The bar graph presented by the image shown at the end of the answer shows the number of states present in each interval.
The features of the graph are given as follows:
Horizontal axis: interval.Vertical axis: number of states in each interval.Then the number of states for each interval are given as follows:
0 to 3: 16 states.3 to 6: 11 states.6 to 9: 11 states.9 to 12: 3 states.12 to 15: 3 states.15 to 18: 3 states.18 to 21: 4 states.Hence the intervals 3 to 6 and 6 to 9 are the intervals that contain 11 states, being the correct answers to this problem.
Missing InformationThe bar graph is given by the image shown at the end of the answer.
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last week of school, please help x
question:
What type of association does the graph show between x and y?
answers:
A. Linear positive association
B. Nonlinear positive association
C. Linear negative association
D. Nonlinear negative association
Answer:
linear positive association is the answer
Elena drank 3 liters of water yesterday. Jada drank 3/4 time as much water as Elena
Did jada drink more or less than water than elena
Answer:more cuz it says 3/4 much more
Step-by-step explanation:
What is the sum of -7 and its additive inverse?
Answer:
The sum of a number and its additive inverse is equal to 0.
Step-by-step explanation:
Help me please >:] Angles suck
(Hey, angles rock!)
Answer:
45 + 60 = 105
Step-by-step explanation:
ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.
45 + 60 = 105
Which ratio is the odd one out?
6:24
4:16
1:4
3:12
8:31
Answer:
8:31
Step-by-step explanation:
all of them are equal with 1:4 except 8:31
helpp!! Your friend says the sum of 1/5 and 9/10 is 10/15. is your friend correct?
Answer:
False.
Step-by-step explanation:
First, find a common denominator between 1/5 and 9/10. Both share a common denominator of 10. Note that what you do to the denominator, you must do to the numerator:
\(\frac{1}{5} * \frac{2}{2} = \frac{2}{10}\)
Add 2/10 with 9/10:
\(\frac{2}{10} + \frac{9}{10} = \frac{11}{10}\)
It is noteworthy that the sum of the two fractions is already greater than 1, and therefore cannot be equal to 10 parts of 15 whole. However, if you were to continue and finish the steps to find the same denominator, you will obtain:
\(\frac{11}{10} * \frac{3}{3} = \frac{33}{30}\\ \frac{10}{15} * \frac{2}{2} = \frac{20}{30} \\\\\frac{33}{30} \neq \frac{20}{30} \therefore \frac{11}{10} \neq \frac{10}{15}\)
Your friend is not correct.
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Determine the base-five representation a) 214 b) 62 c) 8 d) 95 a) 214=
a) 214 in base-five is 1324.
b) 62 in base-five is 222.
c) 8 in base-five is 13.
d) 95 in base-five is 340.
How is this so?
a) To determine the base five representation of 214, we need to find the largest power of five that is less than or equal to 214.
In this case, 125 (5³) is the largest power of five that is less than 214.
Now, we divide 214 by 125 -
214 ÷ 125 = 1 remainder 89
Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -
89 ÷ 25 = 3 remainder 14
Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -
14 ÷ 5 = 2 remainder 4
Therefore, the base-five representation of 214 is 1324 in base-five.
b) Following the same steps as above -
62 ÷ 25 = 2 remainder 12
12 ÷ 5 = 2 remainder 2
Hence, the base-five representation of 62 is 222 in base-five.
c) 8 ÷ 5 = 1 remainder 3
this menas that the base-five representation of 8 is 13 in base-five.
d) Following the same steps as above -
95 ÷ 125 = 0 remainder 95
95 ÷ 25 = 3 remainder 20
20 ÷ 5 = 4 remainder 0
Hence, the base-five representation of 95 is 340 in base-five.
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The point $(p,9)$ lies on line $k$ shown here. What is the value of $p$?
Answer:
(10,9) P=10
Step-by-step explanation:
find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3
y=2/3x+b
find b:
3=2/3(1)+b
b=3-2/3
b=7/3
now we find P
(p,9) input the y in the equation
y=2/3 x+7/3
9=2/3x+7/3
9-7/3=2/3x
x=10
Kadeesha invested
$
900
$900 in an account that pays 1.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Kadeesha would have in the account 11 years after her initial investment. Round to the nearest tenth (if necessary).
The amount of money Kadeesha have in her account after 11 years is $1059.3.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)
Given that, principal=$900, rate of interest=1.5% and time period =11 years.
Now, amount =900(1+1.5/100)¹¹
= 900(1+0.015)¹¹
= 900(1.015)¹¹
= 900×1.177
= $1059.3
Therefore, the amount of money Kadeesha have in her account after 11 years is $1059.3.
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What are the measures of angles b and d? ∠b = 55°; ∠d = 55° ∠b = 55°; ∠d = 125° ∠b = 97°; ∠d = 97° ∠b = 83°; ∠d = 97°
In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).
We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.
angle B = angle D
2n + 15 = 3n - 15
n = 30
The value of n is 30.
Now we can find the measures of angles B and D:
angle B = 2n + 15 = 2(30) + 15 = 75 degrees
angle D = 3n - 15 = 3(30) - 15 = 75 degrees
Therefore, the answer is (a) ∠b = 55°; ∠d = 55
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____The given question is incomplete, the complete question is given below:
In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°
Answer:
The Answer is A
Step-by-step explanation:
I just took the test! 2023Edg
Three coffees and two muffins cost a total of 7 dollars.
Two coffees and lour muffins cost 8 dollars. What is the
individual price for a single coffee and a single muffin?