Therefore, we solve the equation.\((x^2-1)(x-2) = 0\) to find the x-intercepts:
\(x^2-1 = 0 , x-2=0\)
x = ±1, x = 2
What is equation?An equation is a mathematical statement that shows the equality of two expressions using an equal sign (=). It is a way to describe a relationship or a condition between two or more variables.
For example, the equation "\(2x + 3 = 7\)" is an equation with the variable "x". It states that if we substitute "x" with the value "2", then the left-hand side of the equation will equal the right-hand side of the equation. In this case, 2 times 2 plus 3 is equal to 7.
To graph the function. \(f(x) = ((x^2-1)(x-2))/(x-3)\), we can start by identifying any vertical or horizontal asymptotes, x-intercepts, y-intercepts, and the behavior of the function as x approaches positive and negative infinity.
Vertical Asymptotes:
A vertical asymptote occurs when the denominator of the function equals zero. In this case, the denominator is (x-3), which equals zero when x = 3. Therefore, we have a vertical asymptote at x = 3.
Horizontal Asymptotes:
To determine the horizontal asymptote, we need to look at the behavior of the function as x approaches positive or negative infinity. One way to do this is to use long division to simplify the function:
\((x^2-1)(x-2) / (x-3)\)
\(= x^2 - x - 2 + (5x - 7)/(x - 3)\)
As x approaches infinity or negative infinity, the term \((5x - 7)/(x - 3)\) becomes very small compared to \(x^2\), so we can ignore it. Therefore, the function approaches \(y = x^2\)as x approaches positive or negative infinity. This means that. \(y = x^2\)is the horizontal asymptote.
X-Intercepts:
To find the x-intercepts, we set f(x) equal to zero and solve for x:
\(((x^2-1)(x-2))/(x-3) = 0\)
This equation is equal to zero only if the numerator equals zero, since division by zero is undefined. Therefore, we solve the equation. \((x^2-1)(x-2) = 0\) to find the x-intercepts:
\(x^2-1 = 0 , x-2=0\)
x = ±1, x = 2
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Use wage data (Data is posted on blackboard) to estimate the following model and answer the questions: Wage= Bo+ Bi educ+ B2 exper+B3 gender +B4 race+Bs gender*exper+E Gender=1 for male and gender=0 for female Race=1 for white and race=0 for non-white 1- Interpret all the coefficients. 2- Is there a significant wage difference between white and non-white? at a=0.05 3- Test for global usefulness of the model at a=0.05. 4- Test if the experience is a significant determinant of wage at a=0.10.
A unit increase in gender will result in decrement of -52.73 in wage provided holding all other parameter constant.
What is parameter?
A parameter is a piece of information that an equation passes on. In terms of statistics, it means something different. In contrast to statistics, which only provide information about a small portion of the population, this value provides information about the entire population.
A parameter is constant because it was determined by surveying everyone (or everything). The average age of the students in your class, for instance, might be of interest to you. Maybe after asking everyone, you discovered that the average age was 25. Given that you polled the entire class, that qualifies as a parameter. Let's say you were curious about the median age of your grade or year.
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A bag contains 12 red marbles, 10 green ones, 2 yellow ones, 19 blue ones, & 9 purple marbles. What is the probability of pulling out a green marble?
Anyone no the answer?
Answer:
Yes
Step-by-step explanation:
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Simplify: 19w5+ (-3075)
Enter the original expression if it cannot be
simplified.
Enter the correct answer.
ODA
DONE
Why pay cash?
Our credit charges are less than 2% of the
cash price each year.
Credit Price
Cash Price
£10 345
Deposit £1350 +
24 monthly payments of £191.36 +
Final payment of £4887.50
Is the claim in the advert true?
[4 marks]
Answer:
www.imsorryineedpoints.org
Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
how do i do this
i need it now
Answer:
what is the question??
i can answer if i had the question
In the diagram below, AD EB, m/ABD = 115° and m/D = 27°.
Find m < ABE
The value of angle ABE is 52°
What are interior angle of a triangle ?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.
The sum of interior angle in a triangle is 180°
Angle EBD = 180-(90+27)
= 180-117
= 63°
angle ABE + EBD = ABD
ABE = ABD - EBD
ABE = 115-63
= 52°
Therefore the value of angle ABE is 52°
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Justin owns a small business selling used books. He knows that in the last week 76 customers paid cash, 4 customers used a debit card, and 42 customers used a credit card. If next week, he is expecting 200 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.
Based on the previous week's data, the percentage of customers who paid with cash is (76/122)*100 = 62.3%. If we assume that this percentage will remain constant for the next week, then we can estimate that out of 200 customers, approximately 62.3% will pay with cash.
To calculate this, we can use the proportion:
(76/122) = (x/200)
where x is the number of customers we expect to pay with cash next week.
Solving for x, we get:
x = (76/122)*200 = 124.59
Rounding this to the nearest whole number, we can estimate that about 125 customers will pay with cash next week.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Two increased by the product of a number and 7 is at most -29
The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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Find at least ten solutions to the linear equation 1/2x + y = 5, and plot the points on a coordinate plane. What shape is the graph of the linear equation taking?
The solutions of the linear equation is
x y
-8 9
-6 8
-4 7
-2 6
0 5
2 4
4 3
6 2
8 1
10 0
the graph is a straight-line graph
How to find the solutions of the linear equationThe solutions of the linear equation is the found by substituting an x value and solve for y
the given equation 1/2x + y = 5, rearranging the equation gives
y = 5 - 1/2 x
For x = -8, y = 5 - 1/2 * -8 = 9
For x = -6, y = 5 - 1/2 * -6 = 8
For x = -4, y = 5 - 1/2 * -4 = 7
For x = -2, y = 5 - 1/2 * -2 = 6
For x = 0, y = 5 - 1/2 * 0 = 5
For x = 2, y = 5 - 1/2 * 2 = 4
For x = 4, y = 5 - 1/2 * 4 = 3
For x = 6, y = 5 - 1/2 * 6 = 2
For x = 8, y = 5 - 1/2 * 8 = 1
For x = 10, y = 5 - 1/2 * 10 = 0
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x = {(2,3), (2, 4), (2,5), (2, 6)} Is x a function and why?
Answer:
No
Step-by-step explanation:
It's not a function because the Input (x) repeats
Find the slope of the line. The slope of the line is
Answer:
\(\boxed{\sf The\: slope\: is \: 0}\)
Step-by-step explanation:
\(\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}\)
____________
\(\sf \left(x_1,\:y_1\right):\left(-1,\:3\right)\)
\(\sf \left(x_2,\:y_2\right):\left(3,\:3\right)\)
\(\sf Slope\:(m)=\cfrac{3-3}{3-\left(-1\right)}\)
\(\sf m=0\)
particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Need help with proofs, anyone know how?
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS
Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
MLB Batting Averages
0.2750.275 0.3190.319 0.3140.314 0.2800.280 0.2880.288
0.3140.314 0.2950.295 0.2960.296 0.3170.317 0.2760.276
0.2740.274 0.2890.289 0.2950.295 0.2760.276 0.2750.275
0.2960.296 0.3110.311 0.2890.289 0.2830.283 0.3120.312
Answer:
0.2937 ;
0.292 ;
0.275, 0.314, 0.295, 0.296, 0.276, 0.289
Step-by-step explanation:
0.275 0.319 0.314 0.280 0.288 0.314 0.295 0.296 0.317 0.276 0.274 0.289 0.295 0.276 0.275 0.296 0.311 0.289 0.283 0.312
Reordered data :
0.274, 0.275, 0.275, 0.276, 0.276, 0.280, 0.283, 0.288, 0.289, 0.289, 0.295, 0.295, 0.296, 0.296, 0.311, 0.312, 0.314, 0.314, 0.317, 0.319
The mean : ΣX / n ; n = sample size, = 20
Mean = 5.874 / 20 = 0.2937
The median : 1/2(n+1)th term
Median = 1/2(21)th term = 10.5 th term
Median = (10th + 11th) terms / 2
Median = (0.289+0.295) / 2 = 0.292
The mode = 0.275, 0.314, 0.295, 0.296, 0.276, 0.289 (values with ten highest number of occurence.)
x+1=X-3has the value x=3 excluded from the(5 pts) If we know a rational function: f(x):domain, describe in words, what is the actual domain of the function? (Hint: It may helpyou to refer to the definition of domain and the idea that excluded means not included)Bonus: (+2 pts) Write that domain in interval notation. Use the symbol U to join yourtwo intervals together.
Given: The rational fraction below
\(f(x)=\frac{x+1}{x-3},for,x\ne3\)To Determine: The domain of the function
Solution
\(\begin{gathered} The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values \\ \:for\:which\:the\:function\:is\:real\:and\:defined \end{gathered}\)The function is undefined when x is equal to 3.
Hence, the domain of the function would be x less than 3 and x greater than 3.
Let us represents the domain in interval notation
\(\begin{gathered} Domain:x<3,x>3 \\ Interval-notation \\ (-\infty,3)\cup(3,\infty) \end{gathered}\)Hence, the domain is (-∞,3) U (3, ∞)
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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Is 4 – 2n = 5-1 +1 a one solution or a no solution or is it a real number
Step-by-step explanation:
4-2n=5-1+1
+2n. +2n
4=5-1+1+2n
4=5+2n
- 5. -5
-1=2n
-0.5=n
Answer: One solution.
n=-1/2
Step-by-step explanation: 4−2n=5−1+1 4+−2n=5+−1+1 −2n+4=(5+−1+1) −2n+4-4=5-4 −2n/-2=1/-2 n=-1/2
write the fraction of 15/25 in its simple form
Answer:
3/5
First you would need to find the greatest common factor of 15 and 25
which is 5
Then divide the numerator and denominator by the GCF
15 divided by 5
25 divided by 5
Then simplify your answer is
3/5
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : \($750 \times 1.14=6855$\)
Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
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If 36% of a number is 180, find 6% of that number.
Answer:
30
Step-by-step explanation:
First, you need to find the original number whose 36% is 180.
To do so, you can use the generic equation below:
\(\frac{resultant}{orignalnumber} =\frac{percent}{100percent}\)
Now plug in the variables
resultant = 180 because the resulting number of the % is 180
percent = 36% because 180 is 36% of number
original number = represented by x
\(\frac{180}{x} =\frac{36}{100}\)
36 * x = 180 * 100
36x = 18000
x = 18000/36 = 500
Next, find 6% of the original number, 500
To do that, simply plug in the numbers into the generic equation used above:
resultant = represented by x
percent = 6%
original number = 500
\(\frac{x}{500} =\frac{6}{100}\)
100 * x = 6 * 500
100x = 3000
x = 3000/100 = 30
Answer:
30
Step-by-step explanation:
i think
Find cos B. a. Cosine B = StartFraction 41 Over 40 EndFraction c. Cosine B = StartFraction 40 Over 41 EndFraction b. Cosine B = StartFraction 9 Over 41 EndFraction d. Cosine B = StartFraction 9 Over 40 EndFraction
The answer choice which correctly represents the value of cos B as required is; Cosine B = StartFraction 40 Over 41 EndFraction.
Therefore Choice B is correct
What is the cosine rule?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles and it states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
we know that from the trigonometric ratios that the cosine of an angle is the ratio of its opposite and hypothenuse.
Hence, we can say that:
cos B = 80 / 82
cos B = 40 / 41.
Inn conclusion, the cosine of angle B following from trigonometric ratios as requested is; cos B = 40 / 41.
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#complete question:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 82, adjacent B C is 18, opposite A C is 80.
Find cos B.
a.
Cosine B = StartFraction 9 Over 41 EndFraction
c.
Cosine B = StartFraction 9 Over 40 EndFraction
b.
Cosine B = StartFraction 40 Over 41 EndFraction
d.
Cosine B = StartFraction 41 Over 40 EndFraction
Which property is used in the following problem? (8 x 4) x 5 = 8 x (4 x 5)
Answer:
associative property
Step-by-step explanation:
(a×b)c=(b×c)a
Draw the base plan for the set of stacked cubes. Assume that no cubes are hidden form view.
Answer:
Given Figure has set of Stacked cubes.
To Draw the Base Plan, lets see its right side, Left Side and Front side view.
Right side:
It has 3 cubes in base.
2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.
Left Side:
It has 2 Cubes in base.
Both Cubes attached to 1st and 2nd cube of right side cubes.
Front Side:
It can be seen that, here base only has 2 rows of cubes.
Therefore, 1st Figure is correct Base Plan (or enclosed figure)
Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.
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The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
I will give an easy Brainliest! Thank you! :D
Answer:
do 50/6 which is 8.333 repeating that is the amount of gallons per hour so then divide 150 by 8.333 repeating for your answer so 150/8.33 which is 18.00072 so 18.00072 hours is the answer. I hope this helps!
Step-by-step explanation: