The length and width of the square picture frame are both approximately 7.08 inches. The dimensions of the picture that would fit inside the frame are approximately 6.5 inches.
The diagonal of a square:In a square, the diagonal is a line segment that connects opposite corners of the square. Since a square has four congruent sides, we can use the Pythagorean theorem to find the length of the diagonal "d" in terms of the length "s" of the sides. The formula used is given by
=> d² = s² + s²
Here we have
The diagonal of the frame is 10 inches
Let's assume that the length and width of the square picture frame are both "x" inches.
Then, using the Pythagorean theorem, we can express the length of the diagonal (d) of the square picture frame in terms of "x":
=> d² = x² + x²
Simplifying this equation, we get:
=> d² = 2x²
We know that the length of the diagonal is 10 inches, so we can write:
=> 100 = 2x²
Solving for "x", we get:
=> x² = 50
=> x = 5√2
=> x = 7.071 inches
Therefore,
The length and width of the square picture frame are both approximately 7.08 inches.
To find the dimensions of the picture that would fit inside the frame, we can simply subtract a margin of, say, 0.5 inches from each dimension to allow for the picture to fit comfortably within the frame.
So, the dimensions of the picture that would fit inside the frame are approximately 6.5 inches by 6.5 inches.
Therefore,
The length and width of the square picture frame are both approximately 7.08 inches. The dimensions of the picture that would fit inside the frame are approximately 6.5 inches.
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Answer this question and I will give u brainlst.
*There are 6 steps to this problem.
its 12.67 because like look at it this way
5PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answer:
b. sin X and c. cos Y
Step-by-step explanation:
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
sin Y = 32/40 incorrect
sin X = 24/40 correct
cos Y = 24/40 correct
cos X =32/40 incorrect
So the answers are sin X and cos Y
uppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. when carrying gallons of fuel, the airplane weighs pounds. when carrying gallons of fuel, it weighs pounds. how much does the airplane weigh if it is carrying gallons of fuel?
The weight of the plane if it is carrying gallons of fuel is 2336 pounds, under the condition of when carrying 10 gallons, and 45 gallons he airplane weighs 2056 and 2252 pounds.
We can utilize the two given points to create two linear equations
y = mx + b
2056 = 10m + b
2252 = 45m + b
We can find m and b by subtracting the first equation from the second equation:
(45m + b) - (10m + b) = 2252 - 2056
35m = 196
m = 5.6
For finding b by substituting m into one of the original equations:
2056 = 10(5.6) + b
b = 2000
The equation is
y = 5.6x + 2000
To evaluate how much the airplane weighs when carrying 60 gallons of fuel, now lets substitute x into the equation
y = 5.6(60) + 2000
y = 336 + 2000
y = 2336
The weight of the plane if it is carrying gallons of fuel is 2336 pounds, under the condition of when carrying 10 gallons, and 45 gallons he airplane weighs 2056 and 2252 pounds.
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The complete question is
Suppose that the weight (in pounds) of an airplane is a linear... Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2056 pounds. When carrying 45 gallons of fuel, it weighs 2252 pounds. How much does the airplane weigh if it is carrying 60 gallons of fuel?
a random sample of 50 medical school applicants at a university has a mean raw score of 31 on the multiple choice portions of the medical college admission test (mcat). a student says that the mean raw score for the school's applicants is more than 30. assume the population standard deviation is 2.5. use a 1% level of significance. is there enough evidence to support the student's claim?
There is enough proof that the mean raw score for the school's applicants is more than 30 at a significance level of α = 0.01, therefore we reject the null hypothesis.
The null hypothesis H0: μ ≤ 30 mean raw score for the school's applicants is less than or equal to 30 and the alternative hypothesis Ha: μ > 30
We can utilize a one-tailed t-test since we don't know the population standard deviation and our sample size is less than 30. The test statistic is evaluated
t = (x' - μ) / (s / √n)
here
x'= sample mean = 31,
μ = hypothesized population mean = 30,
s = standard deviation = 2.5,
n = sample size = 50.
t = (31 - 30) / (2.5 / √50)
= 3.16
Applying t-distribution table with degrees of freedom (df) = n - 1 = 49 and a significance level of α = 0.01, we find that the critical value is
t-critical = 2.404.
The calculated t-value (3.16) is greater than our critical value (2.404), we reject the null hypothesis since there is enough evidence to support the student's claim that the mean raw score for the school's applicants is more than 30 at a significance level of α = 0.01.
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Find all the values of k for which the equation 2x^2+x+4k has (a) two real solutions, (b) one real solution, and (c) no real solutions.
the values of k for which the equation 2x² + x + 4k has (a) two real solutions are k < 1/32, (b) one real solution is k = 1/32, and (c) no real solutions are k > 1/32.
How to solve the question?
The given equation is 2x² + x + 4k.
(a) For the equation to have two real solutions, the discriminant b² - 4ac must be positive.
Therefore, for this equation, b² - 4ac > 0
=> 1 - 4(2)(4k) > 0
=> 1 - 32k > 0
=> k < 1/32
Hence, all values of k less than 1/32 will give the equation 2x² + x + 4k two real solutions.
(b) For the equation to have one real solution, the discriminant b² - 4ac must be zero.
Therefore, for this equation, b² - 4ac = 0
=> 1 - 4(2)(4k) = 0
=> 1 - 32k = 0
=> k = 1/32
Hence, only the value of k equal to 1/32 will give the equation 2x² + x + 4k one real solution.
(c) For the equation to have no real solutions, the discriminant b² - 4ac must be negative.
Therefore, for this equation, b² - 4ac < 0
=> 1 - 4(2)(4k) < 0
=> 1 - 32k < 0
=> k > 1/32
Hence, all values of k greater than 1/32 will give the equation 2x² + x + 4k no real solutions.
In conclusion, the values of k for which the equation 2x² + x + 4k has (a) two real solutions are k < 1/32, (b) one real solution is k = 1/32, and (c) no real solutions are k > 1/32.
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16PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Answer: C
Step-by-step explanation:
For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.
TOA refers to opposite over adjacent, which would be
tan x = 10/18.
Hope this helps!
solve the equation in the interval [0, 2π) 3csc^2x=4
The equation in the interval [0, 2π) 3csc^2x=4 are: x = π/3 and x = 2π/3.
What is the solutions in the interval?We can start solving the equation by isolating the csc^2(x) term, using the fact that csc^2(x) = 1/sin^2(x):
3csc^2(x) = 4
csc^2(x) = 4/3
1/sin^2(x) = 4/3
sin^2(x) = 3/4
Taking the square root of both sides, we get:
sin(x) = ±√(3/4) = ±(√3)/2
Since we are looking for solutions in the interval [0, 2π), we need to determine the angles in this interval whose sine is equal to ±(√3)/2. These angles are π/3 and 2π/3, since sin(π/3) = √3/2 and sin(2π/3) = √3/2.
Therefore, the solutions in the interval [0, 2π) are:
x = π/3 and x = 2π/3.
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If r = 12 units and x = 15 units, then what is the volume of the cylinder shown above? A. 8,640 cubic units B. 180 cubic units C. 648 cubic units D. 2,160 cubic units
Answer:
b
Step-by-step explanation:
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Answer:Range, because it measures the difference between the highest and lowest values in a datase........
Step-by-step explanation:
The median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
The measure of center that should be used to determine which location typically has the cooler temperature is the Median, because Beach Town is skewed.
The median is a measure of center that represents the middle value of a data set when it is arranged in ascending or descending order. When comparing the two histograms, Sunny Town's data is symmetric, meaning that it has roughly equal frequencies on both sides of the center. In this case, the median could be a good representation of the typical temperature in Sunny Town.
However, Beach Town's data is skewed, meaning that it is not symmetrical and has a longer tail on one side of the center. This indicates that there are more occurrences of higher temperatures in Beach Town compared to Sunny Town. In skewed data, the mean can be affected by extreme values, making it less reliable as a measure of center. The median, on the other hand, is less influenced by extreme values and can give a better indication of the typical temperature in Beach Town.
Therefore, the median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
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can yall help me with this?
Answer:
The mean is 8.6 minutes.
Step-by-step explanation:
"mean" is the average, the way people might talk about it in common language (not necessarily math class language.)
To calculate the mean, you ADD and DIVIDE. You add up all the numbers in your list and divide by however many numbers there are.
ADD:
5+5+15+12+14+6+3
= 60
Then DIVIDE by 7 (bc there are 7 items in the list)
60/7
= 8.5714285714
They said to round to the nearest tenth.
8.5714285714 rounds to 8.6
The mean is 8.6 minutes.
Can someone explain how to do this
The smallest number possible is 42.5 pound.
We have,
42 pounds 8 ounce.
We know 1 pound = 16 ounce
So, 42 pounds 8 ounce
= 42 + 8/16
= 42 + 1/2
= 42+ 0.5
= 42.5 pounds
Now, dividing by 5 we get
= 42.5/5
= 8.5
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I keep on getting the angle wrong even though all the math looks right — does anyone know what went wrong?
The velocity and direction of the jet and the velocity and direction of the wind, expressed as vectors are;
(a) (0. 45)
(b) (450, 0)
(c) (450, 45)
(d) 452
84.3 °E
What is a vector quantity?A vector quantity is one that has both magnitude and direction.
The direction of the pilot is heading = Due east
The speed of the jet relative to the air = 450 mi/h
The direction of the wind = Due north
Speed of the wind = 45 mi/h
(a) The velocity of the wind expressed as a vector is therefore;
[tex]\vec{v}_w[/tex] = 0·i + 45·j
Which indicates that the vector component form of the velocity of the wind is (0, 45)
(b) The velocity of the jet relative to the wind expressed as a vector therefore is; [tex]\vec{v}_j[/tex] = 450·i + 0·j
Which indicates that the vector form of the velocity of the jet relative to the wind is; (450, 0)
(c) The true velocity of the jet expressed as a vector is the sum of the two vectors, which indicates;
The true velocity of the jet = 0·i + 45·j + 450·i + 0·j = 450·i + 45·j
The vector form of the true velocity of the jet is (450, 45)
(d) The true speed of the jet is the magnitude of the vector of the true velocity of the jet, which is;
Speed = √((450 mi/h)² + (45 mi/h)²) ≈ 452 mi/h
The direction of the jet is the arctangent of the ratio of the components of the vector of the true velocity of the jet
The direction of the jet = arctan(45/450) ≈ 5.7° North = (90 - 5.7)° E = 84.3 °ELearn more on vectors here: https://brainly.com/question/28931875
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Help please question 5
The graph K must represent an investment that was compounded continuously because investments that are compounded continuously increase at a faster rate than investments that use either simple interest or are compounded monthly.
How to determine the correct statement about the future value and its graph?In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):
[tex]A(t) = P_{0}e^{rt}[/tex]
Where:
A(t) represents the future value.P₀ represents the principal.r represents the interest rate.t represents the time measured in years.By critically observing the given graph, we can reasonably infer and logically deduce that the graph with line K represent an investment that was compounded continuously because the principal (initial amount of money) increases at a faster rate
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
If 5c + 3c = 8c, why can you not write 5c + 3d as 8c or 8d or 8cd?
we cannot simply write equation 5c + 3d as 8c, 8d, or 8cd.
Explain variableA variable in mathematics is a symbol or letter that is used to indicate a quantity in a mathematical statement or equation that can have many values. It is a symbol that may be used to represent an arbitrary or undefined integer in algebraic expressions and equations.
In the equation 5c + 3c = 8c, we can combine the two terms on the left side because they have the same variable (c) and the same exponent (1).
However, in the expression 5c + 3d, the two terms have different variables (c and d) and cannot be combined in the same way. Therefore, we cannot simply write 5c + 3d as 8c, 8d, or 8cd.
If we want to simplify the expression 5c + 3d, we can only write it in its simplest form or factor it further if possible.
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The bases of a right prism are parallelograms with sides a=10 cm, b=6 cm. The altitude of the parallelogram towards side a is ha = 3 cm. Find the surface area of the parallelepiped if the height of the prism is h=12 cm.
The solution is, the surface area of the parallelepiped is:444 cm²
Here, we have,
Area of parallelogram = a*h
= 10*3
= 30 ,
there are 2 such parallelograms in the prism
2 faces are rectangles with sides 12 and 6 ,
Area of this face is 12*6=72, there are 2 such faces
we have,
2 faces are rectangles with sides 12 and 10
Area of this face is 12*10=120,
there are 2 such faces
the surface area of the parallelepiped is:
2*30+2*72+2*120
= 444 cm²
Hence, The solution is, the surface area of the parallelepiped is:444 cm²
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The link between dopamine and schizophrenia is supported by the finding that:A) lower dopamine activity helps remove schizophrenic symptoms.B) the use of L-dopa can reduce schizophrenic symptoms.C) antipsychotic drugs can block Parkinsonian symptoms.D) dopamine-receiving synapses in persons with schizophrenia are apparently inactive.
B) the use of L-dopa can reduce schizophrenic symptoms.
There is evidence to suggest that schizophrenia that has association with an overactive dopamine system in certain parts of the brain.
L-dopa is a medication commonly used to treat Parkinson's disease, which is characterized by low dopamine levels. However, studies have shown that L-dopa can also reduce symptoms of schizophrenia, providing further support for the link between dopamine and this disorder.
Option A is incorrect as lower dopamine activity is not associated with the removal of schizophrenic symptoms.
Option C is incorrect as antipsychotic drugs are used to treat symptoms of schizophrenia, not Parkinsonian symptoms. Option D is incorrect as the research on dopamine-receiving synapses in persons with schizophrenia is still ongoing and there is no clear consensus on their activity levels.
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The link between dopamine and schizophrenia is supported by the finding that The use of L-dopa can reduce schizophrenic symptoms. So the correct option is B .
There is evidence to suggest that schizophrenia that has association with an overactive dopamine system in certain parts of the brain.
L-dopa is a medication commonly used to treat Parkinson's disease, which is characterized by low dopamine levels. However, studies have shown that L-dopa can also reduce symptoms of schizophrenia, providing further support for the link between dopamine and this disorder.
Option A is incorrect as lower dopamine activity is not associated with the removal of schizophrenic symptoms.
Option C is incorrect as antipsychotic drugs are used to treat symptoms of schizophrenia, not Parkinsonian symptoms. Option D is incorrect as the research on dopamine-receiving synapses in persons with schizophrenia is still ongoing and there is no clear consensus on their activity levels.
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Case A is 12 times heavy than Case B,Case B is 16 times heavy than case C. If case A is 8,640 g, what is the weight of case C
Let's the weight of Case C = "x" grams.
From the information:
Case A = 12 times heavier than Case B,
Therefore, the weight of Case B = 1/12 of Case A's weight:
Weight of Case B = (1/12) * Weight of Case A
Case B = 16 times heavier than Case C,
so, weight of Case C = 1/16 of Case B's weight:
Weight of Case C = (1/16) * Weight of Case B
The weight of Case A = 8,640g,
Let's substitute the value into the equations to find the weight of Case C:
Weight of Case B = (1/12) * 8,640 = 720g
Weight of Case C = (1/16) * 720 = 45g
Thus, the weight of Case C is 45 grams.
Which statement is true?
f 0.09>78
g 8.0×10-3>6%
h 78<8.0×10-3
j 6%<0.09
Answer:h
Step-by-step explanation:
Find the volume of a cylinder with a diameter of 28 meters and a height of 7 and one half meters. Approximate using pi equals 22 over 7.
210 cubic meters
1,575 cubic meters
4,620 cubic meters
The formula for the volume (V) of a cylinder is given by:
V = πr^2h
where r is the radius of the cylinder and h is its height.
We are given the diameter of the cylinder as 28 meters, so the radius (r) is half of that, or 14 meters.
Using the given height of 7 and one half meters, we can now calculate the volume of the cylinder as follows:
V = πr^2h = (22/7) * (14)^2 * (7.5) = 4,620 cubic meters (rounded to the nearest whole number)
Therefore, the approximate volume of the cylinder is 4,620 cubic meters.
What is 26.48 rounded to the nearest whole number please help me
please answer this .............
Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi.
Round your answer to the nearest tenths place.
TYPE ONLY THE NUMBER DO NOT INCLUDE THE UNIT
Answer:
425.2
Step-by-step explanation:
v = 1/3[tex]\pi r^{2} h[/tex] If the diameter is 12, then the radius is 6
v = [tex]\frac{3.14(6^{2})12 }{3}[/tex]
v = [tex]\frac{3.14(36)(12)}{3}[/tex]
v = 452.16
Helping in the name of Jesus.
The equation of your model is y=0.16x use your model to predict how many pieces are in the star wars Lego death star set it costs $499.99
Answer:
Rounding to the nearest whole number, we predict that the Star Wars Lego Death Star set has approximately 80 pieces. However, it's important to note that this prediction is based solely on the given model and may not necessarily reflect the actual number of pieces in the set.
Step-by-step explanation:
The given equation for the model is y = 0.16x, where y represents the number of pieces in a Lego set and x represents the cost of the set in dollars.
To use this model to predict the number of pieces in the Star Wars Lego Death Star set that costs $499.99, we substitute x = 499.99 into the equation and solve for y:
y = 0.16x
y = 0.16(499.99)
y = 79.9984
how many ml of fluid should the client drink per day? (enter numeric value only. if rounding is necessary, round to the whole number.)
The amount of fluid that a person should drink per day can vary depending on factors such as their age, sex, weight, activity level, and climate.
The Institute of Medicine recommends that men should consume about 3.7 liters (125 ounces) of fluid per day, while women should consume about 2.7 liters (91 ounces) of fluid per day. This includes fluid from all sources, including water, other beverages, and food.
It is important to note that individual fluid needs may vary and may be influenced by factors such as health conditions, medications, and pregnancy or breastfeeding. It is always a good idea to consult with a healthcare professional to determine the appropriate amount of fluid intake for your specific needs.
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A client's daily fluid intake should be around 3,700 ml for men and 2,700 ml for women, keeping in mind that individual needs may vary.
Remember to round to the nearest whole number if necessary.
As a concise answer bot, I cannot provide a 200-word response.
How many ml of fluid a client should drink per day, we need to consider general guidelines for daily fluid intake.
The general recommendation for daily fluid intake is approximately:
- For men: 3,700 ml (about 13 cups)
- For women: 2,700 ml (about 9 cups)
These amounts include fluids from all sources, such as water, beverages, and food.
Please note that individual needs may vary depending on factors such as age, activity level, and climate.
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Use the dropdown boxes below to complete the statement about the following quadratic function:
g(x)= 2x squared +4x
The function has a minimum value of -2 that occurrs at x = -1
Calculating the minimum or the maximum value?Given that
g(x) = 2x^2 + 4x
This is a quadratic function with a positive leading coefficient (2), which means that it opens upward and so it has a minimum value.
We can find the vertex of the parabola (the point where it changes direction) by using the formula:
x = -b/2a
where a and b are the coefficients of the quadratic function.
In this case, a = 2 and b = 4, so:
x = -4/(2*2) = -1
To find the corresponding y-value (the minimum value of the function), we substitute x = -1 into the function:
g(-1) = 2(-1)^2 + 4(-1) = -2
Therefore, the minimum of the parabola is at the point (-1, -2).
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..............................
Answer:
below
Step-by-step explanation:
1.
[tex] \sqrt{80 } = 4 \sqrt5[/tex]
[tex]5 \sqrt{45} = 15 \sqrt{5} [/tex]
[tex]4 \sqrt{5} + 15 \sqrt{5} = 19 \sqrt{5} [/tex]
2.
[tex]2 \sqrt{72} = 12 \sqrt{2} [/tex]
[tex]3 \sqrt{50} = 15 \sqrt{2} [/tex]
[tex]12 \sqrt{2} - 15 \sqrt{2} = - 3 \sqrt{2} [/tex]
fP=\ (x, y) : y = 3x-1, x ≤ 4, xe N}, find P * P State the elements of the following relations: (b) y = 4x (d) x + y >= 20 (a)y = x (c) x + y
The elements of the given relations in the set P = {(x, y) : y = 3x - 1, x ≤ 4, x ∈ N} are: (a) y = x: {(1, 1), (2, 2), (3, 3), (4, 4)}
(b) y = 4x: {(1, 4), (2, 8), (3, 12), (4, 16)}
(c) x + y: {(1, 3), (2, 7), (3, 11), (4, 15)}
(d) x + y ≥ 20: {(3, 8), (4, 11)}
To find the elements of the given relations in the set P = {(x, y) : y = 3x - 1, x ≤ 4, x ∈ N}, we substitute the x-values from the set P into the corresponding equations.
(a) y = x:
In this relation, the y-values will be the same as the x-values.
Substituting the x-values from the set P into the equation, we get:
(1, 2), (2, 5), (3, 8), (4, 11)
So, the elements of the relation y = x in the set P are:
{(1, 1), (2, 2), (3, 3), (4, 4)}
(b) y = 4x:
Substituting the x-values from the set P into the equation, we get:
(1, 4), (2, 8), (3, 12), (4, 16)
So, the elements of the relation y = 4x in the set P are:
{(1, 4), (2, 8), (3, 12), (4, 16)}
(c) x + y:
Substituting the x-values from the set P into the equation, we get:
(1, 2), (2, 5), (3, 8), (4, 11)
So, the elements of the relation x + y in the set P are:
{(1, 3), (2, 7), (3, 11), (4, 15)}
(d) x + y ≥ 20:
Substituting the x-values from the set P into the inequality, we get:
(1, 2), (2, 5), (3, 8), (4, 11)
So, the elements of the relation x + y ≥ 20 in the set P are:
{(3, 8), (4, 11)}
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Solve for x. Round your answer to the nearest tenth and type it in the blank without "x=".
Answer:
13.5
Step-by-step explanation:
We can solve for x using the side splitter theorem, assuming that the two triangles' bases are parallel.
[tex]\dfrac{\text{segment of left side}}{\text{left side}} = \dfrac{\text{segment of right side}}{\text{right side}}[/tex]
↓ plugging in the lengths given in the diagram
[tex]\dfrac{4}{4 + 5} = \dfrac{6}{x}[/tex]
[tex]\dfrac{4}{9} = \dfrac{6}{x}[/tex]
↓ cross-multiplying
[tex]4x = 9(6)[/tex]
[tex]4x = 54[/tex]
↓ dividing both sides by 4
[tex]x = 13.5[/tex]
In a probability experiment, Karen flipped a coin 51 times. The coin landed on heads 31 times. What percentage of the coin flips resulted in tails? Round to the nearest percent.
PLSSSSSSSSSSSSS HELP 50 PTSSSSSSSSSS I WILL GIVE YOU BRAINLYIEST
Approximately 39% of coin tosses resulted in tails
What is probability in math and example?Probability is the likelihood or possibility of an event. For example, the probability of tossing a coin is ½ because there is 1 way to get heads and the total number of possible outcomes is 2 (heads or tails).
Since the coin landed heads 31 times in 51 tosses, it must be 51 - 31 = 20 times.
We can use the following formula to figure out the percentage of conversions that result in leads.
percentage of tails = (number of tails / total number of spins) x 100
Let's paste the values we have:
percentage of heads = (20/51) x 100
percentage of heads = 0.39215686274 x 100
percentage of tails = 39.215686274
Rounding to the nearest percentage, we get: tail rate ≈ 39%
Thus, approximately 39% of coin tosses resulted in tails
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You have to fined the value for a
The value for a is equal to 4.
What is the basic proportionality theorem?In Mathematics and Geometry, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
By applying the basic proportionality theorem to the given triangle, we have the following:
EG/CE = GF/DF
(a + 12)/8 = (3a + 2)/7
By cross-multiplying, we have the following:
7a + 84 = 24a + 16
24a - 7a = 84 - 16
17a = 68
a = 68/17
a = 4.
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