To find the linear approximation, we use the formula
:f(x) = f(a) + f'(a) (x-a)
where, a is the point of approximation, and f'(a) is the derivative of the function f(x) at the point a.We have
√6.379 = f(x),
which is the function that we need to approximate.
f(a) = f(6) = √6f'(x) = (1/2) (x^(-1/2))f'(a) = f'(6) = (1/2) (6^(-1/2)) = 1/4√6.379 ≈ f(6) + f'(6) (√6.379 - 6)= √6 + (1/4) (√6.379 - 6) = 2.449625
approximated to 3 decimal places Hence, the value of √6.379 using linear approximation to three decimal places is 2.450.
The given length of a rectangle is increasing at the rate of 5 in./sec while the width is decreasing at the rate of 4 in./sec. We need to find how fast is the area changing at the instant the rectangle is a square each of whose sides is 6 in. We can solve this question using the formula
dA/dt
= (∂A/∂l) dl/dt + (∂A/∂w) dw/dt
We know that when the rectangle is a square each of whose sides is 6 in, then the length and width of the rectangle will be equal,
i.e. l
= w
= 6 in. Hence, A
= lw
= 36 sq
in Differentiating both sides with respect to time t, we get d
A/dt
= 2l (dl/dt) + 2w (dw/dt)Since l
= w
= 6 in,
dl/dt
= 5 in./sec and dw/dt
= -4 in./sec (since the width is decreasing), we have
dA/dt
= 2(6)(5) + 2(6)(-4)
= 12 in²/sec
Therefore, the area is changing at the rate of 12 in²/sec when the rectangle is a square each of whose sides is 6 in.Linear approximation: Linear approximation is an estimation technique that is used to find the approximate value of a function near a particular point. It is a method of approximating a value of a function by using a tangent line at a point near the one of interest. This method can be useful when exact calculations are difficult or time-consuming. Here, we need to find the value of √6.379 using linear approximation to three decimal places.
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If 9801 is the square of 99, what will be the square of 9.9?
Answer:
98.01
Step-by-step explanation:
\([9.9]^2\\=[\frac{99}{10}]^2\\ =\frac{9801}{100}\\ =98.01\)
The following figure shows the first two steps of a proof of the Pythagorean theorem. Which of the following statements about this proof is false
Answer: The answer is D
Step-by-step explanation:
The wrong statement is, the area of the final square is equal to the area of the triangle with a hypotenuse of c, the correct option is D.
What is Pythagorean theorem?According to Pythagorean Theorem, for a right angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.
The figure shows the first two steps of a proof of the Pythagorean theorem
In Pythagorean theorem, squares are used to prove the equality of the square of the bigger side with the sum of area of square of the other two smaller sides,
The area of the final square is not equal to the area of the triangle with a hypotenuse of c.
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a new law has been passed giving city police greater powers in apprehending suspected criminals. for six neigh- borhoods, the numbers of reported crimes one year before and one year after the new law are shown. does this indicate that the number of reported crimes have dropped?
The data provided does indicate that due to the passing of the new law the number of reported crimes have dropped.
Based on the data provided for the six neighborhoods, we want to determine if the new law, which gave city police greater powers in apprehending suspected criminals, has led to a decrease in the number of reported crimes.
To analyze the data, we will compare the number of reported crimes before and after the law for each neighborhood:1. Neighborhood 1: The number of reported crimes increased from 18 to 21.
2. Neighborhood 2: The number of reported crimes decreased from 35 to 23.
3. Neighborhood 3: The number of reported crimes decreased from 44 to 30.
4. Neighborhood 4: The number of reported crimes decreased from 28 to 19.
5. Neighborhood 5: The number of reported crimes increased from 22 to 24.
6. Neighborhood 6: The number of reported crimes decreased from 37 to 29.
Out of the six neighborhoods, four experienced a decrease in the number of reported crimes, while two experienced an increase.
Based on this comparative analysis, it can be indicated that the number of reported crimes has generally dropped in the majority of the neighborhoods (4 out of 6) after the new law was implemented. However, it's important to consider additional factors and data to draw a more comprehensive conclusion about the law's overall effectiveness.
Note: The question is incomplete. The complete question probably is: A new law has been passed giving city police greater powers in apprehending suspected criminals. For six neighborhoods, the numbers of reported crimes one year before and one year after the new law are shown. Does this indicate that the number of reported crimes have dropped?
Neighborhood 1 2 3 4 5 6
Before 18 35 44 28 22 37
After 21 23 30 19 24 29
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if you work 8 hours every two days, how many hours will he work in 7 days
Answer:
28 hours for 7 days
Step-by-step explanation:
8/2 =
4
4 hours for 1 day
1 x 7 =
7
7 x 4
28
28 for 7 days
Answer:
I would say the answer is 28
Step-by-step explanation:
In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.
Mulitply 4*7
or
2 days: 8 hrs
4 days: 16 hrs
6 days: 24 hrs
7 days: 28hrs
HELP PLZ IM STUCK.
Find the equation of the line.
Use exact numbers.
y =
x+
Answer: y = x - 5 ( just add a negative at the end )
Step-by-step explanation:
( 5,0) ( 0,-5)
0 - -5
5 - 0
5/5 = 1
y = x + b
0 = 5 + b
-5 -5
-5 = b
y = X - 5
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
Answer each question below based on the accompanying diagram.
In ABC, angle A= 65 and angle C= 65. Which is longer, AB or AC?
Answer:
I believe AB
Step-by-step explanation:
Because AB is congruent to BC, so you know they are the same length, but AC is a different length.
Find the critical value Za /2 that corresponds to 98% confidence level A. 2.575 B. 2.05 C. 1.75 D. 2.33
Answer:
The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33
Step-by-step explanation:
To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.
Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.
Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.
Therefore, the correct answer is D. 2.33.
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South State University has 54,000 students enrolled. Enrollment predictions show that the number of students will grow 1.2% each year for the next 5 years. According to the enrollment prediction, how many students will be enrolled at South State University next year?
Answer:
Total number of student next year = 54,648
Step-by-step explanation:
Given:
Total number of student = 54,000
Growth rate = 1.2% each year
Find:
Total number of student next year
Computation:
Total number of student next year = Total number of student(1+Growth rate)
Total number of student next year = 54,000(1+1.2%)
Total number of student next year = 54,648
Verify csc^2t-cos t sect= cot^2 t
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
a farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. if the farmer has 16 meters of wire to use, what is the largest area that the farmer can enclose?
The largest area that the farmer can enclose is 32metres²
Since, we have the farmer wants to build a rectangular pen, means that opposite sides are of equal length.
So, let suppose the length of rectangular pen be x meters and width of rectangular pen as y meters.
We know that perimeter of rectangle is =2×(length + breadth)
Therefore, perimeter of rectangular pen =2x+y,and we are given the perimeter of rectangular pen in form of length of electric fence,
So,2x+y=16-------(eq1)
We know that area of rectangle=length × breadth
∴A=x × y
Now putting values of y from (eq1),we get
=>A=x×(16-2x)
For largest area, we need to differentiate the area with respect to x and equate to it to equal to zero.
∴d(A)/dx=16-4x
=>16-4x=0
=>x=4metres
Therefore, y=16-2×4=8metres
Now, area of rectangular pen will be =x × y=4×8=32metres².
Hence, the largest area of rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence is 32metres².
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Required school supplies include 6 spiral notebooks and 2 binders. If the notebooks cost 90 cents and the binders cost $4.77, how much will you spend?
A. $22.85
B. $14.94
C. $15
D. $30
Answer:
Hey, You don't need to buy supplies. Just use your at home!
Step-by-step explanation:
Brainlest?
Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).
Step-by-step explanation:
How many values must be excluded for rational expression (x+1) / (2(x-1)(4x+1))
The excluded values of the rational expression are 1 and -1/4.
If a rational function is defined as R(x) = p(x)/q(x) , then the excluded values of the rational function are those values for which q(x) = 0
The given rational expression is:
(x+1) / (2(x-1)(4x+1))
Factorize the numerator and denominator.
(x+1) / (2x-2)(4x+1)
(x+1) / (8x² + 2x - 8x - 2)
(x+1) / (8x²-6x-2)
(x+1) / (8x² -8x +2x -2)
(x+1) / 8x(x-1)+2(x-1)
(x+1) / (x-1)(8x+2)
Equate the denominator equal to zero.
(x-1)(8x+2) = 0
use the zero product property.
x-1=0 ⇒ x=1
8x+2=0 ⇒ 8x=-2 ⇒ x=-1/4
⇒ (x+1)/(x-1)(8x+2)
Hence the excluded values are 1 and -1/4.
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Find the variables.
(2x)"
54
x=
Answer: x= 108
Step-by-step explanation: (2x)" 54 x= 108x^2= (2^X3^3x^2 )= 108
The data are the ages that collected from a neighborhood 30, 35, 8, 12, 48, 70, 50, 62, 78 Find the mean, variation, standard deviation, first quartile, median, third quartile and 65% percentile.
According to the question, the mean, variation, standard deviation, quartiles, median, and percentile for the given data set are:
Mean = 43.33
Variation = 9646.22
Standard Deviation = 98.21
First Quartile (Q1) = 12
Median = 48
Third Quartile (Q3) = 70
65th Percentile = 50
To find the mean, variation, standard deviation, quartiles, median, and percentile for the given data set, we can follow these steps:
Step 1: Sort the data in ascending order: 8, 12, 30, 35, 48, 50, 62, 70, 78.
Step 2: Calculate the mean:
\(Mean = \frac{8 + 12 + 30 + 35 + 48 + 50 + 62 + 70 + 78}{9} = 43.33\) (rounded to two decimal places).
Step 3: Calculate the variation:
\(\text{Variation} = \frac{{\sum((x_i - \text{mean})^2)}}{n}\\\\= \frac{{((8 - 43.33)^2 + (12 - 43.33)^2 + \ldots + (78 - 43.33)^2)}}{9}\\\\= 9646.22 \quad\)
Step 4: Calculate the standard deviation:
Standard Deviation = \(\sqrt{(Variation)} = \sqrt{(9646.22)} = 98.21\) (rounded to two decimal places).
Step 5: Calculate the quartiles:
First Quartile (Q1) = 12 (since it is the median of the lower half of the data).
Third Quartile (Q3) = 70 (since it is the median of the upper half of the data).
Step 6: Calculate the median:
The median is the middle value of the sorted data set, which is 48.
Step 7: Calculate the percentile:
To find the 65th percentile, we need to determine the value that separates the lowest 65% of the data from the highest 35%. Since the data set has 9 elements, 65% of 9 is 5.85. Rounding up, we get 6. The 6th element in the sorted data set is 50, which represents the 65th percentile.
Hence, the mean, variation, standard deviation, quartiles, median, and percentile for the given data set can be represented in LaTeX as follows:
\(\text{Mean} &= 43.33 \\\text{Variation} &= 9646.22 \\\text{Standard Deviation} &= 98.21 \\\text{First Quartile (Q1)} &= 12 \\\text{Median} &= 48 \\\text{Third Quartile (Q3)} &= 70 \\\text{65th Percentile} &= 50 \\\)
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if the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work is needed to stretch it 6 in. beyond its natural length?
To stretch a spring 1 ft. from its natural length, a 15 ft-lb work is needed. To stretch a spring 6 in. from its natural length, the required work is 3.75 ft-lb
The work done on a spring is given by the formula:
W = 1/2 . kx²
Where:
k = spring constant
x = spring displacement
From the formula, we know that the work is directly proportional to the square of displacement, or mathematically:
W ∝ x²
Therefore,
W₁ : W₂ = x₁² : x₂²
Data from the problem
W₁ = 15 ft-lb
x₁ = 1 ft
x₂ = 6 in. = 0.5 ft
Hence,
15 : W₂ = 1² : 0.5²
W₂ = 0.25 x 15 = 3.75 ft-lb
Hence, the required work to stretch the spring 6 in beyond its natural length is 3.75 ft-lb
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Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
CLE
2x units
28 + 3x units
12x units
49 + 9x units
Answer:
49 + 9x units
Step-by-step explanation:
perimeter is sum of all the sides
Taylor currently earn $24. 00 an hour at her job. Thank to her hard work, her bo i going to give her a 15% raie. How much will he earn each hour after the raie?
Answer:
Taylor will earn $27.60 after the raise.
Step-by-step explanation:
If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.
Hopefully this helps, did the best I could!
The circle below has center T. Suppose that mUV=68° and that UW is tangent to the circle at U. find the following.(a) m
Angle UTV is given: 68°
Since the triangle is isoceles, the other two angles measure the same.
This way,
\(\begin{gathered} 68+x+x=180\rightarrow68+2x=180\rightarrow2x=112 \\ \rightarrow x=112 \end{gathered}\)Thereby,
\(m\angle TUV=56\)Notice that
\(m\angle TUV+m\angle\text{VUW}=90\)Because UW is tangent to the circle
Therefore,
\(\begin{gathered} m\angle TUV+m\angle\text{VUW}=90 \\ \rightarrow m\angle\text{VUW}=90-m\angle TUV \\ \rightarrow m\angle\text{VUW}=90-56 \\ \rightarrow m\angle\text{VUW}=34 \end{gathered}\)Answer:
\(\begin{gathered} m\angle UTV=68 \\ m\angle VUW=34 \end{gathered}\)A. Given the following: A=(
0
2
1
−3
),B=(
−2
2
1
3
),C=(
−2
1
−1
1
) (5 marks) Find the value of 3BC−2AB B. Using the matrix method or otherwise, solve the following system of simultaneous equations.
x+2y−z=6
3x+5y−z=2
−2x−y−2z=4
(15 marks) (Total 20 marks)
A. The value of 3BC - 2AB, where A, B, and C are matrices, can be calculated as -39 13 15 -23.
B. By using the matrix method, the solution to the system of simultaneous equations x + 2y - z = 6, 3x + 5y - z = 2, and -2x - y - 2z = 4 is x = -1, y = 2, and z = 3.
A. To calculate 3BC - 2AB, we first need to multiply matrices B and C to obtain BC, and then multiply BC by 3 to get 3BC. Similarly, we multiply matrices A and B to obtain AB, and then multiply AB by -2 to get -2AB. Finally, we subtract -2AB from 3BC to obtain the resulting matrix, which is -39 13 15 -23.
B. To solve the system of simultaneous equations, we can use the matrix method. First, we express the system of equations in matrix form as AX = B, where A is the coefficient matrix, X is the column vector of variables (x, y, z), and B is the column vector of constants. By rearranging the equation, we have X =\(A^-1 * B,\) where \(A^-1\) is the inverse of matrix A. By calculating the inverse of matrix A, we can then multiply it by B to obtain the solution vector X, which represents the values of x, y, and z. In this case, the solution to the system of equations is x = -1, y = 2, and z = 3.
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3. Let f(x,y) – 3x2 + xy - y?. Use the linear approximation to estimate the value of T(102, 1.99) by taking x= 1 and 2 base. How larre is the error of the approximation? 4. Demand functions of two goods (good l and good 2 with prices pl and p2) are Q. 10p. p; and Q, = 2 p. på The conditum kar producing of units of good and units of good 2 is C - 29, +92 + 1 7 Find and evaluate at (P.-Ps) = (2.1).
The value of C(2.1, 2.1) is approximately 342.87. To estimate the value of f(102, 1.99) using linear approximation, we can use the equation of the tangent plane at the point (x0, y0):
\(T(x, y) = f(x0, y0) + fx(x0, y0)(x - x0) + fy(x0, y0)(y - y0)\)
where fx and fy are the partial derivatives of f with respect to x and y, respectively.
Given f(x, y) = 3x^2 + xy - y, we can calculate the partial derivatives:
\(fx = 6x + y\)
\(fy = x - 1\)
Using the point (x0, y0) = (1, 2) as the base, we can evaluate the partial derivatives at this point:
\(fx(1, 2) = 6(1) + 2 = 8\)
\(fy(1, 2) = 1 - 1 = 0\)
Substituting these values into the linear approximation equation:
\(T(x, y) = f(1, 2) + 8(x - 1) + 0(y - 2)\)
\(= -2 + 8(x - 1)\)
\(= 8x - 10\)
To estimate the value of T(102, 1.99), we substitute x = 102 into the equation:
\(T(102, 1.99) = 8(102) - 10\)
\(= 816 - 10\)
\(= 806\)
The estimated value of f(102, 1.99) using linear approximation is 806.
To find the cost function C(x, y) of producing x units of good 1 and y units of good 2, we can use the given equation:
C(x, y) = 29x^2 + 92y + 17
To evaluate C at (P1 - Ps, P2 - Ps) = (2.1), we substitute x = 2.1 and y = 2.1 into the cost function:
C(2.1, 2.1) = 29(2.1)^2 + 92(2.1) + 17
= 131.67 + 193.2 + 17
= 342.87
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An angle is bisected, forming two new angels. If the original angle had a measure of 14 degree, what is the measure of each new angle
Answer:
The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7
Consider the data table above. ____ person(s) enjoy their tea with at least two spoonfuls of honey
Answer:
Only one person....Harry.
Answer: 1 person
Step-by-step explanation: Only two people enjoy honey in their tea: Jane and Harry. However, Jane only likes 1 spoonful of honey, whereas harry enjoys 2. Therefore, 1 person enjoys their tea with at least 2 spoonful's of honey.
Given the centre of the circle (−4.3) and it meets the x-axis (y=0) at one point, find the equation of the circle. A. (x+4)2+(y−3)2=3 B. (x−4)2+(y+3)2=9 C. (x−4)2+(y+3)2=3 D. (x+4)2+(y−3)2=9
Given the center of the circle (−4.3) and it meets the x-axis (y=0) at one point, the equation of the circle can be found using the standard form of the circle equation: (x - h)² + (y - k)² = r² where (h,k) is the center and r is the radius of the circle.
Here, h = -4 and k = 3 (since the center is given as (-4,3)) Also, since it meets the x-axis at one point, the y coordinate of that point is zero, and the distance from the center to that point gives us the radius of the circle. Let the x coordinate of that point be a.
Then, the radius of the circle is given by r = |-4 - a|.So, the equation of the circle can be given as follows:
(x - (-4))² + (y - 3)² = (a + 4)².
As we can see, there is no way to solve this equation unless we are given the x coordinate of the point where the circle meets the x-axis. Hence, the question is incomplete, and the answer is not possible.
Given the center of the circle (−4.3) and it meets the x-axis (y=0) at one point, the equation of the circle cannot be determined without additional information.
Here, we are given the center of the circle as (-4, 3) and it meets the x-axis at one point. We know that the general equation of a circle is given by (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius of the circle. We can plug in the given values in the above equation as follows:(x - (-4))² + (y - 3)² = r²On the x-axis, the y-coordinate is zero.
Let's say that the x-coordinate of the point where the circle meets the x-axis is a. Then, the distance between the center and the point on the x-axis will be r.Using the distance formula, we have:
r = √[(a - (-4))² + (0 - 3)²]r = √[(a + 4)² + 9].
Therefore, the equation of the circle becomes:(x + 4)² + (y - 3)² = (a + 4)² + 9We cannot solve this equation unless we are given the x-coordinate of the point where the circle meets the x-axis.
The equation of the circle cannot be determined without additional information. We know that the center is (-4, 3) and it meets the x-axis at one point, but we need to know the x-coordinate of that point to calculate the equation of the circle. Therefore, none of the options given.
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A high speed train travels a distance of 503 km in 3 hours.
The distance is measured correct to the nearest kilometre.
The time is measured correct to the nearest minute.
By considering bounds, work out the average speed, in km/minute, of the
train to a suitable degree of accuracy.
You must show your working.
To gain full marks you need to give a one-sentence reason for
your final answer - the words 'both' and 'round should be in your sentence.
Total marks: 5
The average speed of the train is both greater than or equal to 2.3928 km/minute and less than or equal to 3.3567 km/minute.
To find the average speed of the train, we divide the distance traveled by the time taken:
Average speed = distance / time
= 503 km / 180 minutes
= 2.7944... km/minute
Since the distance is measured correct to the nearest kilometer, the actual distance could be as low as 502.5 km or as high as 503.5 km. Similarly, since the time is measured correct to the nearest minute, the actual time taken could be as low as 2.5 hours or as high as 3.5 hours.
To find the maximum average speed, we assume that the distance traveled is 503.5 km and the time taken is 2.5 hours.
Maximum average speed = 503.5 km / 150 minutes = 3.3567... km/minute
To find the minimum average speed, we assume that the distance traveled is 502.5 km and the time taken is 3.5 hours.
Minimum average speed = 502.5 km / 210 minutes = 2.3928... km/minute
Therefore, the average speed of the train is both greater than or equal to 2.3928 km/minute and less than or equal to 3.3567 km/minute.
Rounding to two decimal places, the average speed of the train is 2.79 km/minute.
Reason: Both 2.79 km/minute and the minimum and maximum average speeds are correct to the nearest hundredth of a kilometer per minute and take into account the maximum possible error in the measurements.
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Timothy plans on saving, starting with the $50 he received for his birthday. He is pretty sure he can continue to contribute $50 per month to help the account grow. Which formula should he use to calculate the future value?
This graph represents the path of a baseball hit during practice.
What does the y-value of the vertex represent?
A. The maximum height of the baseball
B. The time the baseball reaches it’s maximum height
C. The time the baseball was hit
D. Ground level
Answer:
the correct answer is A
Step-by-step explanation:
i put B because thats what the first user said it was and i got it wrong on my quiz, the quiz shows the corret answer is A
What’s the value of x-24
Answer: The value of x-24 would be 24
Step-by-step explanation:
x - 24 = 0
add 24 to both sides
x - 24 + 24 = 0 + 24
x = 24
Above is the question
Answer:
its A
Step-by-step explanation:
asymptotes:=-1 and hole:x=4
The question is the picture , if you know it please answer I’m having trouble with this particular question
Answer:
d
Step-by-step explanation:
the slopes (2/3x and -5/4x) are not equal but the y-intercepts (3) are and d is the only one that states that