The point (0, 100) represents the initial amount of money that Miguel puts into the savings account.
Describe Function?In mathematics, a function is a rule or relation that assigns each element in one set, called the domain, to exactly one element in another set, called the range. Functions are used to describe and analyze relationships between variables, and they are a fundamental concept in calculus, analysis, and many other areas of mathematics and science.
A function is typically denoted by a symbol such as f(x), where x is an element of the domain and f(x) is the corresponding value in the range. The domain and range can be any set of values, such as numbers, points in a plane or space, or other mathematical objects.
Since the function represents the amount of money in Miguel's savings account over time, the point (0, 100) represents the initial amount of money that Miguel puts into the savings account.
In other words, when time t = 0 (i.e., at the beginning), Miguel has $100 in his savings account.
The x-coordinate of a point on a function graph often represents time, while the y-coordinate represents the value of the function at that time. In this case, the x-axis likely represents time in years, and the y-axis represents the amount of money in dollars.
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During which phase of the systems life cycle are users trained to use the new system?
Answer:
Step-by-step explanation:
The phase of the systems life cycle during which users are trained to use the new system is called the implementation phase. In this phase, the new system is installed and made operational, and users are trained on how to use it effectively. This phase typically follows the design and development phases and precedes the maintenance phase.
What is the main focus of the implementation phase in the systems life cycle?
The main focus of the implementation phase is training users to use the new system effectively. This includes installing the system and making it operational, as well as providing necessary support and training to ensure users are able to utilize the system efficiently.
The phase of the systems life cycle during which users are trained to use the new system is the implementation phase. This is the phase where the new system is actually implemented and made available for use by the users. It is important to provide training to users during this phase so that they are able to effectively use the new system and understand its functionality.
Therefore, users are trained to use the new system during the implementation phase.
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The implementation phase of the systems life cycle is the time when users are taught how to utilize the new system.
The new system is installed, made operational, and users are instructed on how to utilize it efficiently during the implementation phase. In most cases, this phase comes after the design and development phases and comes before the maintenance period.
Why is user training important during the implementation phase of the systems life cycle?
User training is important during the implementation phase of the systems life cycle because it ensures that users are able to effectively use the new system and understand how it works. This is essential for the successful adoption and utilization of the system by the organization. Without proper training, users may struggle to use the system effectively, leading to reduced productivity and potentially even causing issues with data accuracy and integrity. By providing thorough user training, organizations can ensure that their employees are able to use the new system efficiently and effectively, leading to a successful implementation.
The implementation phase of the systems life cycle is the time when users are taught how to utilise the new system. In this stage, the new system is really put into use and made accessible to users. During this stage, it's crucial to give users training so they can utilize the new system correctly and comprehend its functions.
Therefore, during the implementation phase, users are instructed on how to utilize the new system.
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Use the distribution property to expand 7(8x - 2y) - 5
7(8x - 2y) - 5 = 56x - 14y - 5 [multiply the expression in the parentheses by 7 and then subtract 5]
Joel researches animal behavior. He teaches monkeys to push a button in order to receive a
treat. 63% of the time, a monkey receives kiwi as the treat.
If a monkey presses the button 5 times, what is the probability that it will receive kiwi as a
treat exactly 3 times?
Write your answer as a decimal rounded to the nearest thousandth.
Using binomial probability formula, the probability that the monkey will receive kiwi as a treat exactly 3 times out of 5 button presses is approximately 0.340.
What is the probability that it will receive kiwi as a treat exactly 3 times?To find the probability that a monkey will receive kiwi as a treat exactly 3 times out of 5 button presses, we can use the binomial probability formula.
The binomial probability formula is given by:
\(P(X = k) = C(n, k) * p^k * (1 - p)^(^n ^- ^k^)\)
Where:
P(X = k) is the probability of getting exactly k successes,
n is the total number of trials (button presses),
k is the number of desired successes (receiving kiwi as a treat),
p is the probability of success (63% or 0.63), and
C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
Using the given values:
n = 5 (5 button presses),
k = 3 (receiving kiwi as a treat exactly 3 times),
p = 0.63 (probability of success, kiwi treat)
Let's calculate the probability using the formula:
\(P(X = 3) = C(5, 3) * (0.63)^3 * (1 - 0.63)^(^5 ^- ^3^)\)
C(5, 3) = 5! / (3! * (5 - 3)!)
= 5! / (3! * 2!)
= (5 * 4 * 3!) / (3! * 2)
= (5 * 4) / 2
= 10
P(X = 3) = 10 * (0.63)³ * (0.37)²
Calculating further:
P(X = 3) ≈ 10 * 0.250 * 0.136
≈ 0.34
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Why might squaring a number and taking the square root of a number be thought of as opposite operations?
Therefore , squaring a number and taking the square root of a number is an opposite operation as we can see in the following explanation.
How is the square root defined?A number's square root, which is the result of multiplication by itself, yields the original number. Some examples of exponents are squares and square roots. Imagine the number twenty five. Additionally, this can be expressed as expression of 5x5.
Here,
In order to square an integer, you must multiply it by itself.
The opposite of squaring a number is the act of getting the square root.
Calculating the side length of a square whose area is a certain number can be compared to finding the square root of that number.
For example: √25= √5*5 = 5
where as square of 5 : 5*5 = 25
Therefore , squaring a number and taking the square root of a number is an opposite operation as we can see in the following explanation.
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Who ran farther by the end of the week how much farther use the table below that shows the distances in miles
Answer:
Yu ran farther by the end of the week.
Step-by-step explanation:
Fraction addition
\(\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}\)
Convert mixed fractions to improper fractions
\(\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles\)
\(\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}\)\(\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}\)
\(\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles\)
Yu ran farther by the end of the week.
HELP MY HOMIE OUT, MY HOMIE NEEDS SERIOUS HELP PLEEEEASE HELP ILL GIVE U A BRAINLIEST
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Answer:
okay bro, but I need some time
Answer:
72
Step-by-step explanation:
.75x96=72
Nick wants to be a writer when he graduates, so he commits to writing 500 words a day to
practice. It typically takes him 30 minutes to write 120 words. You can use a function to
approximate the number of words he still needs to write x minutes into one of his writing
sessions.
The number of words he still need to write in one of his writing sessions would be = 95 minutes.
Who is a graduate?A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.
The number of words committed for a day by Nick = 500 words.
He writes 120 words = 30 mins
The total number of words remaining = 500 - 120 = 380 words.
Therefore the time it will take to finish the remaining 380 words in the day = X mins.
If 30 mins= 120 words
X mins = 380 words.
Make X mins the subject of formula;
X mins = 380× 30/120
X mins = 11,400/120
X mins= 95 minutes.
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Marvin has already walked 11 kilometers this week, plus he plans to walk 1 kilometer during each trip to school. How many trips to school. How many trips will Marvin have to make in all to to walk a total of 40 kilometers
Marvin has to take 29 trips to the school to make in all to walk a total of 40 kilometers with the help of algebraic equation.
Marvin has already walked 11 kilometers this week, so he needs to walk an additional 29 kilometers (40 - 11) to reach his goal.
If he plans to walk 1 kilometer during each trip to school, we can use algebra to solve for the number of trips he needs to make:
Let's call the number of trips Marvin needs to make "x".
Then, the total distance he walks during these trips is 1 kilometer times "x".
So we can set up the following equation to solve for x:
1x + 11 = 40
Subtracting 11 from both sides:
1x = 29
Dividing both sides by 1:
x = 29
Therefore, Marvin needs to make 29 trips to school to walk a total of 40 kilometers.
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please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
decagon with side length 4 yd
Solve I need a step by step explanation on how to solve
If a decagon with side length 4 yd then the area of decagon is 123 square yard.
A decagon is a ten-sided polygon
The side length of decagon is 4 yd.
We have to find the area of decagon
Area of Decagon = 5/2 a²√5+2√5
a is the side length
a=4 yd
Area of Decagon = 5/2 4²√5+2√5
= 5/2 ×16×√5+2√5
=123 square yard
Hence, if a decagon with side length 4 yd then the area of decagon is 123 square yard.
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A decagon with side length 4 yd then find the area of decagon.
A truck can be rented from Company A for $120 a day plus $0.50 per mile. Company B charges $80 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
400
Step-by-step explanation:
120 + .5x = 80 + .6x
subbtract .5x from each side
120 = 80 + .1x
then subtract 80 from each side
40 = .1x
finally divide by .1 on each side
400 =x
Alr last 1 HELP ME OUT……..
Answer: 89.7
Step-by-step explanation:
½ 1 Period length (exact radian measure) = Amplitude = Domain= Range= 5. Carefully sketch the graph of y=-5 cos 2x over-sxs, then fill in the blanks below the graph. Period length (exact radian measure) = Amplitude = Range = Domain= 6. Carefully sketch the graph of y=-3sin 4x over I sxs, then fill in the blanks below the graph. Amplitude = Period length (exact radian measure) = Range = Domain= *** omombat MPC-30 Hand-In 5.1 2019 K|2 1% 411
The graph of y = -5cos(2x) over the interval -π/2 ≤ x ≤ π/2 can be sketched as follows. The period length of the function is π, which is the distance it takes for one complete cycle of the cosine function. The amplitude is 5, indicating the maximum displacement of the graph from the midline. The domain is -π/2 ≤ x ≤ π/2, representing the range of x-values for which the function is defined. The range is [-5, 5], indicating the set of all possible y-values of the function.
For the graph of y = -3sin(4x) over the interval -π/4 ≤ x ≤ π/4, the following sketch can be made. The amplitude of the function is 3, representing the maximum displacement from the midline. The period length is π/2, indicating the distance it takes for one complete cycle of the sine function. The domain is -π/4 ≤ x ≤ π/4, representing the range of x-values for which the function is defined. The range is [-3, 3], indicating the set of all possible y-values of the function.
In summary, for y = -5cos(2x) over the interval -π/2 ≤ x ≤ π/2, the graph has a period length of π, an amplitude of 5, a domain of -π/2 ≤ x ≤ π/2, and a range of [-5, 5]. For y = -3sin(4x) over the interval -π/4 ≤ x ≤ π/4, the graph has an amplitude of 3, a period length of π/2, a domain of -π/4 ≤ x ≤ π/4, and a range of [-3, 3].
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8abx−10a2b+12ax2−15a2x plz regroup and factories this expression
Answer:
2x (4a-5b)2+ 3x (3a-4b)
I hope this answer was helpfull for you
using an average ground speed of 120 knots and taking off on runway 14, what minimum rate of climb must be maintained to meet the required climb rate (in feet per nm) to 4,800 feet as specified on the instrument departure procedures? a. 435 feet per minute. b. 500 feet per minute. c. 1,000 feet per minute.
According to the given speed, the minimum rate of climb must be maintained to meet the required climb rate to 4,800 feet as specified on the instrument departure procedures is option (d) 870 feet per minute.
Speed:
In math speed refers the rate of change of position of an object in any direction.
Given,
Here we have using an average ground speed of 120 knots and taking off on runway 14.
Now, we need to find in what minimum rate of climb must be maintained to meet the required climb rate (in feet per nm) to 4,800 feet as specified on the instrument departure procedures.
While we looking into the given question, we have identified that,
Speed = 120
Distance = 4800
Then the minimum rate of climb must be maintained to meet the required climb rate is calculated as,
Here we also note in the bottom left corner of the overhead view of the departure requires 435 ft/nm climb gradient to 4800' for obstacle clearance.
Therefore, the minimum rate is 870 feet per minute.
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find a vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t)= (3t - 1) i + 13t j + 16 k; P0(-1, 4)
Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.
What is the vector equation at the point P0(-1, 4)?To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:
Step 1: Find the derivative of r(t) with respect to t:
r'(t) = 3 i + 13 j
Step 2: Evaluate the derivative at the point P0:
r'(-1) = 3 i + 13 j
Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:
r(t) = P0 + r'(-1) t
where t is a scalar parameter.
Plugging in the values, we get:
r(t) = (-1)i + 4j + (3i + 13j)t
Simplifying, we get:
r(t) = (3t - 1) i + 13t j + 4 k
Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve
r(t) = (3t - 1) i + 13t j + 16 k is
r(t) = (3t - 1) i + 13t j + 4 k.
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Angie and Kelly are playing a card game. Angie has 37 points. She has 5 points less than Kelly. How many points does Kelly have?
A) 42
B)45
C)32
Answer:
42 a
Step-by-step explanation:
brailest plz
Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
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Image is attached. Please help, will mark brainliest. :)
Answer:
208 feet
Step-by-step explanation:
We have to multiply 4x4 to get 16, and since there looks like there are 5 small squares we multiply 5x16 to get 80. And then there are 2 bigger squares that are 8x8 to get 64, then we multiply by 2 to get 128, then we add 80 (the sum of the 5 smaller squares) to get to a total of 208.
Mortality for (45) and (55) is uniformly distributed with w = 105. future lifetime for two lives are independent. Calculate the probability that (45) survives at least 10 years longer than (55).
Let's consider two independent lifetimes with 45 and 55 years old individuals and let the random variable X denote the future lifetime of a 45-year-old person and Y denote the future lifetime of a 55-year-old person.
The mortality for (45) and (55) is uniformly distributed with w=105.P(X > Y + 10) = Probability that (45) survives at least 10 years longer than (55).Here's how to calculate the probability that (45) survives at least 10 years longer than (55):The probability density function of X is given by,fx(x) = 1/w, if 0 < x < w
fx(x) = 0, elsewhereThe cumulative distribution function of X is given by,
Fx(x) = (x - 0) / w, if 0 < x < w
Fx(x) = 0, if x ≤ 0
Fx(x) = 1, if x ≥ w The probability density function of Y is given by,fy(y) = 1/w, if 0 < y < w
fy(y) = 0, elsewhere The cumulative distribution function of Y is given by,
Fy(y) = (y - 0) / w, if 0 < y < w
Fy(y) = 0, if y ≤ 0
Fy(y) = 1, if y ≥ w The probability that (45) survives at least 10 years longer than (55) can be written as:
P(X > Y + 10) = P(X - Y > 10).
The joint probability density function of X and Y is given by,
fx,y(x,y) = fx(x) × fy(y)
= 1/w², if 0 < x < w, 0 < y < wfx,y(x,y)
= 0, elsewhere
Let Z = X - Y, then Z has a triangular distribution. Hence the probability that (45) survives at least 10 years longer than (55) is given by,P(X - Y > 10)
= P(Z > 10)
= 1 - P(Z ≤ 10)
The probability density function of Z is given by:
fz(z) = (w - |z|) / w², if -w < z < w
= (w - |z|) / w², if 0 < z < w The cumulative distribution function of Z is given by,
Fz(z) = (z + w)² / 2w², if -w < z ≤ 0
Fz(z) = 1 - ((w - z)² / 2w²), if 0 < z < w
Fz(z) = 0, elsewhere Hence,
P(X > Y + 10) = P(X - Y > 10)
= 1 - P(Z ≤ 10)
= 1 - Fz(10) Substituting the values in the equation gives:
P(X > Y + 10) = 1 - Fz(10)
= 1 - [1 - ((w - 10)² / 2w²)]
= (w - 10)² / 2w²
= (105 - 10)² / 2(105)²
= 0.45 Therefore, the probability that (45) survives at least 10 years longer than (55) is 0.45.
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What is 17,683 rounded to the nearest ten thousand?
20,000
Thankyou :)
Follow me....
what is the average rate of change of the function f(x) on the interval 6 < x < 8
Answer:
Step-by-step explanation:
The
average rate of change
of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the
secant line
connecting the 2 points.
To calculate the average rate of change between the 2 points use.
∣
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
f
(
b
)
−
f
(
a
)
b
−
a
a
a
∣
∣
∣
−−−−−−−−−−−−−−−
f
(
9
)
=
9
2
−
6
(
9
)
+
8
=
35
and
f
(
4
)
=
4
2
−
6
(
4
)
+
8
=
0
The average rate of change between (4 ,0) and (9 ,35) is
35
−
0
9
−
4
=
35
5
=
7
This means that the average of all the slopes of lines tangent to the graph of f(x) between (4 ,0) and (9 ,35) is 7.
1. Which number is located at Point A on the number line?
A number line is shown from negative 10 to 10 with each interval mark on the number line representing one unit. Point A is labeled one interval mark to the right of negative 5. (1 point)
–4
4
–6
6
2. Which number is the opposite of Point B on the number line?
A number line is shown from negative 20 to 20 with each interval mark on the number line representing two units. Point B is located two interval marks to the left of 10. (1 point)
6
–6
3
–3
3. Find │7│. (1 point)
1 over 7
–7
7
0
4. Find │–14│. (1 point)
14
–14
start fraction 1 over 14 end fraction
0
5. If two integers have the same absolute value, which of the following is true about the integers? (1 point)
They must be the same integer.
They must be opposite integers.
They could be the same or opposite integers.
There is not enough information to answer this question.
1. Point A on the number line is one interval mark to the right of -5, which means it is located at position 4 on the number line.
What is Number line?A number line is the visual representation of different numbers.
It is a straight line with numbers marked at equal intervals.
It can be used to represent both positive and negative numbers, with zero as the center point.
2. Point B on the number line is two interval marks to the left of 10, which means it is located at position -14 on the number line. Therefore, the opposite of Point B is 14.
3. The absolute value of a number represents its distance from zero on the number line, regardless of whether the number is positive or negative. The absolute value of 7 is simply 7.
4. The absolute value of -14 is the distance between -14 and 0 on the number line, which is 14 units. Therefore, │-14│ is equal to 14.
5. Two integers that have the same absolute value could either be the same integer or opposite integers. For example, 3 and -3 have the same absolute value of 3, while 4 and -4 have opposite values but the same absolute value of 4. Therefore, the answer is they could be the same or opposite integers.
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Finish the inequality statement.
9/11 _ 7/8
>
<
=
Answer:
=
Step-by-step explanation:
Y + 2x = 5 I have to solve for Y please
Answer:
Y=5-2X
Step-by-step explanation:
Answer:
IF YOU HAVE TO SOLVE FOR Y THEN TAKE X AS ANY NUMBER YOU WANT.
SUPPOSE X=2
PUT THE VALUE IN THE EQUATION THEN U WILL GET-
Y+2(2)=5
= Y+4=5
= Y=5-4
= Y=1
THIS IS JUST ONE EXAMPLE BUT THERE CAN BE INFINITIVE NUMBER OF ANSWERS FOR THIS QUESTION.
I WILL SHOW U ONE MORE EXAMPLE.
IF X=1
THEN THE EQUATION WILL BE-
Y+2(1)=5
Y+2=5
Y=5-2
Y=3
SO HERE WE GOT Y=1&3
AND ALSO Y CAN HAVE INFINITE SOLUTIONS (THIS IS ON THE BASIS OF THE PROPERTY OF LINEAR EQUATION, I.E., A LINEAR EQUATION CAN HAVE INFINITIVE SOLUTIONS)
solve for x round to nearest tenth
Answer:
33.3
Step-by-step explanation:
tan A = opp/adj
tan 39° = 27/x
x tan 39° = 27
x = 27/(tan 39°)
x = 33.3
A relationship between two quantities, normally expressed as the quotient of one divided by another. A comparison of two numbers or measurements.
The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio
The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.
For example, if we have two quantities A and B, the ratio of A to B can be written as
A/B
A:B
"A is to B"
The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.
Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.
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Solve for the roots in simplest form using the quadratic formula:
x2 – 14x = -33
Answer:
i think its x = 11 , 3
Step-by-step explanation:
Which statement is correct about the F distribution? A) Cannot be negative B) Cannot be positive C) Is the same as the t distribution D) Is the same as the z distribution
Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.
The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.
"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.
"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.
For such more question on distribution:
https://brainly.com/question/4079902
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Determine the value of "z" in the equation
z + (14 - 5i) = 9 + 2i
Answer:
z = − 5 + 7i
Step-by-step explanation:
z + 14 - 5i = 9 + 2i
Subtract 14 from both sides.
z - 5i = 9 + 2i -14
Subtract 14 from 9 to get -5.
z - 5i = -5 +2i
Add 5i to both sides.
z = -5 + 2i + 5i
Combine real and imaginary parts.
z = -5 + (2+5)i
Add 2 to 5.
z = -5 + 7i
Hope this helps!
Answer:
7i - 5
Step-by-step explanation:
z + (14 - 5i) = 9 + 2i
=> z + 14 - 5i = 9 + 2i
=> z = 9 + 2i + 5i - 14
=> z = 7i - 5