Anya's current age is 30 years and Cole current age is 27 years
Let x represent Anya current age and y represent Cole current age.
Anya is three years older than her brother, Cole. Hence:
x = y + 3
x - y = 3 (1)
In 11 years, the sum of their ages will be 79. Hence:
(x + 11) + (y + 11) = 79
x + y = 57 (2)
Solving equations 1 and 2 simultaneously gives:
x = 30, y = 27
Anya's current age is 30 years and Cole current age is 27 years
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Transcribe the directions lantanoprost 0.005% ophthalmic solution sig. Ii drops o.u. daily h.s.
Answer:
The transcription of the directions for Lantanoprost 0.005% ophthalmic solution is as follows:
"Sig: ii drops o.u. daily h.s."
This means to use the medication as follows:
"ii drops" = two drops
"o.u." = both eyes
"daily" = once a day
"h.s." = at bedtime (from the Latin "hora somni")
So the complete directions would be:
"Instill two drops in both eyes once a day at bedtime."
Solve the following quadratic equation by factoring.
f (x) = -x^2-11x – 28
Answer:
(-x-7)(x+4)
Step-by-step explanation:
A trucking company makes 50 deliveries in 5 days. How long will it take for 400 deliveries? responses 8 days 8 days 10 days 10 days 20 days 20 days 40 days.
It will take the trucking company 40 days to make 400 deliveries, if company makes 50 deliveries in 5 days
To find out how long it will take for a trucking company to make a certain number of deliveries, we can use the concept of proportion. In this case, we know that the company makes 50 deliveries in 5 days. Let's call the time it takes to make 400 deliveries "t".
Using the proportion:
50 deliveries / 5 days = 400 deliveries / t days
We can cross-multiply to get:
50t = 2000
Dividing both sides by 50, we get:
t = 40
In summary, to find how long it will take for a trucking company to make a certain number of deliveries, we can use the concept of proportion. By setting up a ratio of the number of deliveries to the time it takes to make them and cross-multiplying, we can solve for the unknown variable.
In this case, we found that it will take 40 days for the company to make 400 deliveries, based on the given information that it makes 50 deliveries in 5 days.
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If the input x[n] to this system has a period N=3, the output y[n] has _______________ nonzero Fourier series coefficient per period.
Answer:
\(w_{0}\) = \(\frac{2\pi }{N}\)
Step-by-step explanation:
Fourier series is a periodic function which is composed of harmonically related variable. It is an infinite sum of sines and cosines. It makes use of orthogonality series of relation between sines and cosines. In the given question the Fourier series is non zero represented by omega. Pie function is used to determine the value and N is no. of periods.
an 8cm cube is cut into several small cubes of edge 2cm.how many cubes are formed???
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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need calculas help asap
The required simplified value of the function is given as 4,
Given that,
Partial functions are given, and we have to determine the value of the function at x = 2.
Limit, which can be defined as every nearby value of a variable for a function that exists, is called limits
here,
The function given is f(x) = 3 / x - 2 but this function is not defined for x = 2 but the value of the function at x = 2 is 4,
If we put f(2) = 3 / 2 - 2 = infinity,
Thus, the required simplified value of the function is given as 4,
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What is the correct answer?
Answer:
B
Step-by-step explanation:
the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?
The possible values for the discriminant include the following:
A. -1
D. -18
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.
Discriminant, D = b² - 4ac
In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.
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Complete Question:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A. -1
B. 3
C. 0
D. -18
A square pyramid has a base edge of 1 meter. The height of each triangular face is 1 meter. What is the pyramid's surface area?
Answer:
A square pyramid has 5 faces: 1 square base and 4 triangular faces.
The area of the base is:
A = s^2
where s is the length of the base edge.
In this case, s = 1 m, so:
A = 1^2 = 1 m^2
The area of each triangular face is:
A = 1/2 * b * h
where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).
In this case, b = 1 m and h = 1 m, so:
A = 1/2 * 1 * 1 = 0.5 m^2
The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:
SA = A_base + 4 * A_triangles
SA = 1 + 4(0.5)
SA = 1 + 2
SA = 3 m^2
Therefore, the surface area of the pyramid is 3 square meters.
How many missing assignments do y’all have..? Xd
Put these numbers from least to greatestsquare root 43, pi, 6, 2squareroot2
Put these numbers from least to greatest
square root 43, pi, 6, 2squareroot2
we have that
square root 43=6.56
pi=3.14
6
2squareroot2=2.83
therefore
2squareroot2,pi,6, square root 43
(x + 7)(x + 4) simply
Answer:
\(x^2 + 11x + 28\)
Step-by-step explanation:
(x + 7)(x + 4) = x(x + 4) + 7(x + 4) = x*x + x*4 + 7*x + 7*4 = x*x + 11*x + 28
2x+12
Step-by-step explanation:
Common like terms
Help fast please....
Answer:
46 yd²
Step-by-step explanation:
Which numbers are perfect squares? Check all that apply. 02 016 018 032 0 044 094 100
Answer:
16, 100
Step-by-step explanation:
A perfect square is a number that can be achieved by multiplying a number by itself.
Example: 100 = 10 x 10, so it is a perfect square
2 is not a perfect square because it has no factors that can be multiplied with each other to equal 2. An easy way to check is to use the square root function on your calculator.
If the result is a whole number then it's a perfect square.
Please help and show how you found the answer step by step.
According to the information, the perimeter of the triangle is ≈ 31.18
How to calculate the perimeter of the triangle?To find the distance between two points, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates as follows:
Point 1: (-2, 3)
Point 2: (3, -2)
Now we can substitute these values into the distance formula:
distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)
distance = sqrt((5)^2 + (-5)^2)
distance = sqrt(25 + 25)
distance = sqrt(50)
distance ≈ 7.07
Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.
To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.
Using the distance formula, we can find the length of the sides:
Side 1: (-2,3) to (3,-2)
d = √[(3 - (-2))^2 + (-2 - 3)^2]
= √[5^2 + (-5)^2]
= √50
= 5√2
Side 2: (3,-2) to (-7,-2)
d = √[(-7 - 3)^2 + (-2 - (-2))^2]
= √[(-10)^2 + 0^2]
= 10
Side 3: (-7,-2) to (-2,3)
d = √[(-2 - (-7))^2 + (3 - (-2))^2]
= √[5^2 + 5^2]
= 5√2
Therefore, the perimeter of the triangle is:
5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)
An two of the three sides are equal, so it is an isosceles triangle.
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How was the problem worked?
Find the slopes of the curve y^4=y^2-x^2 at the two points shown here.
The slope of the curve y⁴ = y² - x² is 1 and repeat the process for the second point.
Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.
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is it 8%? i think but i just wanna make sure.
Answer:
Yeah, you're right!
Step-by-step explanation:
For 1/6 it's 17%, so just divide by two and you get 8% (rounded).
Answer:
thats right 8%
Step-by-step explanation:
numbers of samples = 6×2 = 12
6 for a cube , and 2 for a fair coin
numbers of event (5, H) is 1
so, the probability is 1/12 = 1/12 × 100%
= 8.33% => rounded => 8%
Enter the exact values of the trigonometric ratios in the boxes.
sin 45°
cos 30
tan 60
=
The required value of trigonometric ratios is,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
We know that,
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Therefore,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
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the probability of an airline flight arriving on time at a certain airport is 84%, use a normal approximate to find the probability that more than 240 in a random sample of 400 commercial airline flights at the airport will arrive on time
The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.
Given:
Probability of an airline flight arriving on time (success): p = 0.84
Number of trials (flights): n = 400
Number of flights arriving on time (successes): x > 240
First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:
Mean (μ) = n * p
Standard Deviation (σ) = √(n * p * (1 - p))
μ = 400 * 0.84 = 336
σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33
Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.
To use the normal distribution, we need to standardize the value of 240:
z = (x - μ) / σ
z = (240 - 336) / 7.33
z ≈ -13.13
Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:
P(x > 240) ≈ P(z > -13.13)
From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).
Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
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Find the perimeter of the following polygon. Be sure to include the correct unit in your answer. 14 in 16 in 16 in
Answer:
Step-by-step explanation:
14in + 16in + 16in = 46in
all you do is add the numbers to get the total.
A box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant. What is the rate of change, in cm per minute, of the height when the height is 6 cm?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.
Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.
Therefore, we can write the volume of the box as
:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.
Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:
527 = constant × dh/dt
We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:
V = l × w × hV = 17 × 10 × hV = 170h
We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:
527 = constant × 6 cm
constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get
-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min
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North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Sort the angles as acute, right, obtuse, or straight.
The top angle is right (90 degrees, kinda looks like a bent elbow).
The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).
The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).
4th is acute.
5th is straight because it's a straight line.
6th is also obtuse.
Have a good day :)
A+B + C = 180
A= 36
What is x
Answer:
which is x here
please write complete question
Solve the system of equations by elimination. Explain your reasoning or show your work.
9514 1404 393
Answer:
(x, y) = (5, 4)
Step-by-step explanation:
Subtracting the second equation from the first eliminates the x term.
(4x +6y) -(4x +2y) = (44) -(28)
4y = 16 . . . . simplify
y = 4
Using the second equation to find x, we have ...
4x +2(4) = 28
x + 2 = 7 . . . . . . divide by 4
x = 5 . . . . . . . . . subtract 2
The solution is (x, y) = (5, 4).
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Answer:
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You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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What is the value of S4 for
0 554
O
64
O
(J1
14
O 516
05/0
O
56
n-1
24 (1)
n=1
?
Answer: It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.
Step-by-step explanation: