A triangle has one side equal to 1 foot that is 12 inches.
The second side is equal to 24 inches.
Let x denotes the length of the third side.
The third side must be less than the sum of these two sides.
\(\begin{gathered} x<12+24 \\ x<36 \end{gathered}\)Also the third side must be greater than the difference of these two sides.
\(\begin{gathered} x>24-12 \\ x>12 \end{gathered}\)So the possible length of the third side must be greater than 12 and less than 36.
\(12Options B and D are correct.The possible lengths of the third side of the triangle are
B: 19 inches
D: 15 inches
FAST!!! HELP PLSSS
Explain how you got the answer too!!
A 0 <= y <= 14
B y <= 14
C 10 <= y <= 14
D y <= 10
Answer:
The Correct answer is C
10<_y>_14
Answer: A
Step-by-step explanation:
The question is asking for the range, which means for the whole function where do you have y values.
you have y values from 0 to 14
I sometimes use a horizontal line. If the function is touching the horizontal line than that is where you have a y value.
Which of the following is true?? *ill give brainliest*
-6.175 is an irrational number
Sqrt 2 is an integer
0 is neither a rational number nor an irrational number
4.83333 is a rational number but not an integer
Please help me, what is the answer?
A 6.6 kg object undergoes an acceleration of 3.9 m/s2.
What is the magnitude of the resultant force acting on it?
If this same force is applied to a 4.0 kg object, what acceleration is produced?
Answer:
6.435 m/s^2.
Step-by-step explanation:
To find the magnitude of the resultant force acting on the 6.6 kg object, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Mass of the object (m) = 6.6 kg
Acceleration (a) = 3.9 m/s^2
Using the formula:
Force (F) = m * a
Substituting the given values:
F = 6.6 kg * 3.9 m/s^2
F = 25.74 N (rounded to two decimal places)
Therefore, the magnitude of the resultant force acting on the 6.6 kg object is approximately 25.74 N.
Now, if the same force is applied to a 4.0 kg object, we can use the same formula to find the acceleration produced.
Given:
Mass of the object (m) = 4.0 kg
Force (F) = 25.74 N (as calculated above)
Using the formula:
F = m * a
Rearranging the formula to solve for acceleration:
a = F / m
Substituting the given values:
a = 25.74 N / 4.0 kg
a = 6.435 m/s^2 (rounded to three decimal places)
Therefore, the acceleration produced when the same force is applied to a 4.0 kg object is approximately 6.435 m/s^2.
PLEASE HELP!! THANK YOU!!
Step-by-step explanation:
i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D
Answer:
(0,-2)
Step-by-step explanation:
Parallelograms have parallel lines and equal opposite lines.
You can count.
For Ex: A is 1 above and 5 to the left of B.
So D should be 1 above and 5 to the left of C.
C is at (5,-3)
Go up 1 and left 5 and you get (0,-2)
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average
This measure of central tendency can be considered the most precise in option c. mean
The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.
The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.
However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.
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quizlewhat is the measure that indicates how precise a prediction of y is based on x or, conversely, how inaccurate the prediction might be?
The residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.
What is indetail explaination of the answer?The measure that indicates how precise a prediction of y is based on x or how inaccurate the prediction might be is called the residual standard error (RSE).
RSE is a measure of the variation or dispersion of the errors (or residuals) in a regression model. It is calculated by taking the square root of the sum of the squared residuals divided by the degrees of freedom.
The RSE provides an estimate of the standard deviation of the errors, and it is expressed in the same units as the response variable y.
In other words, the RSE measures the average distance that the observed values deviate from the predicted values in the regression model.
A smaller RSE indicates that the model is better at predicting the response variable, while a larger RSE indicates that the model has higher prediction error and may not be as accurate.
In summary, the residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.
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The measure that indicates how precise a prediction of y is based on x, or conversely, how inaccurate the prediction might be, is called the residual standard error (RSE). The RSE is a measure of the average distance that the observed values fall from the predicted values, and it is typically expressed in the same units as the response variable (y). A smaller RSE indicates a better fit of the model to the data, and a larger RSE indicates a poorer fit.
Helpppppppppppppppp plzzzzzzzzzzzzzzz
Answer:
D.
Step-by-step explanation:
If ABC is congruent to DEC 4x - 1 = x + 2
3x = 3
x = 1
I need help!!!!!!!!!
Answer:
10 2/3 x 9/10 = 9 3/5
1 x 10 2/3 = 10 2/3
10 2/3 x 2 1/3 = 24 8/9
1/8 x 10 2/3 = 1 1/3
10 2/3 x 3/5 = 6 2/5.
Hope this helps!
Solve for x.
0.5x+78.2=287
Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.
Answer:
9 inches
Step-by-step explanation:
Perimeter of equilateral triangle = 3x
Perimeter of square = 4x
3(x + 6) = 9 + 4x
3x + 18 = 9 + 4x
-x = -9
x = 9
A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 0.5 meters, its length is 7 meters, and its top is 2 meters under the ground, find the total amount of work needed to pump the gasoline out of the tank. (The density of gasoline is 673 kilograms per cubic meter; use g
The total amount of work needed to pump the gasoline out of the tank is approximately 942,696π Joules.
To calculate the total amount of work needed to pump the gasoline out of the tank, we need to consider the gravitational potential energy associated with the volume of gasoline being lifted.
First, let's determine the volume of the cylinder. The formula for the volume of a cylinder is:
\(V = \pi * r^2 * h\)
where V is the volume,
r is the radius, and
h is the height or length of the cylinder.
In this case, the radius (r) is 2 meters, and the length (h) is 6 meters. Substituting these values into the formula, we find:
\(V = \pi * (2)^2 * 6\\V = 24\pi\) cubic meters
Next, we need to calculate the mass of the gasoline. The density of gasoline is given as 673 kilograms per cubic meter.
Multiplying the density by the volume, we get:
Mass = density * volume
Mass = 673 * 24π
Mass = 16152π kilograms
Now, let's calculate the work done in pumping the gasoline out of the tank. The work done is equal to the change in gravitational potential energy. Since the gasoline is lifted from a depth of 4 meters, the effective height is the sum of the depth and the radius, which is 4 + 2 = 6 meters.
The formula for work done against gravity is:
Work = mass * gravity * height
where gravity (g) is 9.8 meters per second squared.
Substituting the values into the formula, we have:
Work = 16152π * 9.8 * 6
Evaluating the expression, we find:
Work ≈ 942696π Joules
Therefore, the total amount of work needed to pump the gasoline out of the tank is approximately 942,696π Joules.
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Complete Question:
A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 2 meters, its length is 6 meters, and its top is 4 meters under the ground, find the total amount of work needed to pump the gasoline out of the tank. (The density of gasoline is 673 kilograms per cubic meter; use g = 9.8 m/s².) Work = __________ (include units)
Determine if the graph of the function y=x^2 intersects the given horizontal line.
y=35
The graph of the function y = \(x^{2}\) intersects the given horizontal line y = 35 at two distinct points.
What is a function?
A function is an expression, rule, or law expressed mathematically that expresses the relationship between two independent variables and one dependent variable.
We are given a function as y = \(x^{2}\) and the horizontal line as y = 35.
We know that the given function y = \(x^{2}\) will always lie in the first and the second quadrant because the value of y can never be negative.
Similarly, the line will also lie in the first and the second quadrant and will be parallel to the x - axis.
So, they will intersect at two distinct points.
A graph has been provided below which shows the intersection of the two.
Hence, the graph of the function y = \(x^{2}\) intersects the given horizontal line y = 35 at two distinct points.
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Jhaniece is running a race and covers 450 yards in the first 100 seconds at a constant rate. Use the constant rate of proportionality to determine the total distance of the race if she finishes the race 15 seconds later . Show your work
The total distance of the race is 517.5 yards.
How to determine the total distance of the race?
Remember the relation:
distance = speed*time.
We know that Janice runs at a constant rate (or speed), and covers 450 yards in 100 seconds.
Then her speed is:
S = (450 yd)/(100 s) = 4.5 yd/s
Now, we know that she finishes the race 15 seconds latter, in these 15 seconds she runs:
d = (4.5yd/s)*15s = 67.5 yd
Adding that to the original 450 yards, the total distance is:
D = 450 yd + 67.5yd = 517.5 yd
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Can someone please help me?????
Answer:
28 c
bc it is an isosoles triangle
Step-by-step explanation:
Answer:
31°
Step-by-step explanation:
So we can tell one of the triangles is an isosceles because the two dashes on the sides mean the sides are of equal length. We can calculate the top angle of this triangle by:
90 - 28 = 62
Now we can calculate the other two angles, which are the same:
180 - 62 = 118
118 ÷ 2 = 59
So now we know two angles of the big triangle we can calculate angle x:
180 - 59 - 90 = 31
So x = 31°
Hope this helps!
The length of the parallel sides of a trapezoid are 15 m and 25 m. If the perpendicular distance between the parallel sides is 10 m, what is the area of the trapezoid?
Answer:
Area of trapezoid = 200 m²
Step-by-step explanation:
Parallel side1 a= 15m
Parallel side2 b= 25m
Perpendicular distance h = 10 m
We need to find area of the trapezoid.
The formula used to find area of the trapezoid is: \(Area \ of \ trapezoid=\frac{a+b}{2}h\)
Putting values and finding area of the trapezoid:
\(Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2\)
So, area of trapezoid = 200 m²
In the expression 4x3 + 12, which is a coefficient, which is the variable, and which is a constant?
Answer:
4 and 3 are coefficanta and 12 will be a constant.
if 4 and 3 are being shared by the variable they would be coefficants
if x is not a variable then all the numbers are constants
Step-by-step explanation:
10 less than 40% of a number is -4
Answer:
35
Step-by-step explanation:
4+10 = 14,
14 divided by 40% (0.4) = 35
Determine the direction in which the graph of the following parabola opens. f(x)=3x²− 6x + 1
The direction in which a parabola opens is determined by the coefficient of the x² term in its equation. In the given equation, f(x) = 3x² - 6x + 1, the coefficient of the x² term is 3.
When the coefficient is positive, as it is in this case (3 > 0), the parabola opens upward. This means that the vertex of the parabola represents the minimum point on the graph.
To further understand this, we can analyze the quadratic equation associated with the parabola, which is obtained by setting f(x) equal to zero:
3x² - 6x + 1 = 0.
Using the quadratic formula, we can find the x-coordinate of the vertex, which is given by x = -b/2a. Plugging in the values from the equation, we get
x = -(-6)/(2(3)) = 1.
Substituting this x-coordinate back into the original equation, we can find the y-coordinate of the vertex:
f(1) = 3(1)² - 6(1) + 1 = -2.
Therefore, the vertex of the parabola is located at the point (1, -2), and since the coefficient of the x² term is positive, the parabola opens upward, with its vertex representing the minimum point on the graph.
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Is 3x + 4y = -1 parallel or perpendicular, or neither?
Answer:
neither
Step-by-step explanation:
you need to have 2 equations for it to be parallel/perpendicular
Answer:
neither
Step-by-step explanation:
parallel or perpendicular
thats just my answer :>>
-34, -21, -8.5 Complete the recursively defined function to describe this sequence.
The recursive definition of the arithmetic sequence -34, -21, -8 is:
f(1) = -34.f(n + 1) = f(n) + 13.What is an arithmetic sequence?It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
\(a_n = a_1 + (n - 1)d\)
In which \(a_1\) is the first term of the sequence.
An arithmetic sequence can also be defined recursively, as follows:
\(f(1) = a_1\)f(n + 1) = f(n) + d.In this problem, the sequence is given as follows:
-34, -21, -8.
Hence the first term and the common ratio are given as follows:
First term: -34.Common ratio: 13, as each term is the previous term added to 13.Hence the recursive definition of the sequence is:
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How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5y=15x−40 y=3x−8 Choose 1 answer: Choose 1 answer: (Choice A) A Exactly one solution (Choice B) B No solutions (Choice C) C Infinitely many solutions
Answer:
(C) Infinitely many solutions
Step-by-step explanation:
Converting the lines into the from \(ax+by+c=0\)
\(5y=15x-40\\\Rightarrow 15x-5y-40=0\)
\(y=3x-8\\\Rightarrow 3x-y-8=0\)
\(\dfrac{a_1}{a_2}=\dfrac{15}{3}=5\)
\(\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5\)
\(\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5\)
So, \(\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}\).
Hence, these lines have infinitely many solutions.
What is the coefficient in the equation 8 = 4 + 2g?
9
2
4
8
Step-by-step explanation:
8=4+2g
8-4=2g
g=4/2
g=2
Answer:
2 is the coefficient
Step-by-step explanation:
2 because it's before the variable
Let me know if this helped
If licorice cost $6.59 a pound, how much would it cost to buy a quarter pound of licorice?
Answer:
$1.65 (rounded up)
$1.6475 (not rounded)
Step-by-step explanation:
6.59 / 4 = 1.6475
4 is the quarters in a pound.
ILL MARK U BRILLIANT PLEASE I NEED HELP
1.In which three ways can you represent a relationship between two quantities?
1.
2.
3.
Answer:
table, graph or equation
Please awnser and make sure it is to I will brainlist
Answer:
.1
Step-by-step explanation:
Multiple the first number with .1 and you get the second number. Multiple the second number with .1, you get the third number and so forth.
Ma grand-mère décide de vider son grenier qui comprend 1675 objets. Elle décide
d'en vendre 5 par jour. Combien de jours lui fauda-t-il pour vider totalement son grenier ?
répondre avec formule récurrence
Answer:
335 jours (335 days)
Step-by-step explanation:
1675 / 5 = 335
a. in the sample: i. what is the average value of birthweight for all mothers? ii. for mothers who smoke? iii. for mothers who do not smoke? b. i. use the data in the sample to estimate the difference in average birth weight for smoking and nonsmoking mothers. ii. what is the standard error for the estimated difference in (i)? iii. construct a 95% confidence interval for the difference in the average birth weight for smoking and nonsmoking mothers.
a. In the sample:i. The average value of birth weight for all mothers is 7.17 pounds.
ii. For mothers who smoke is 6.82 pounds.
iii. For mothers who do not smoke is 7.28 pounds.b. i. The difference in average birth weight for smoking and nonsmoking mothers can be estimated using the sample data. The difference is given by the formula:
Difference = X1 – X2, where X1 is the average birth weight of mothers who smoke and X2 is the average birth weight of mothers who do not smoke.Using the sample data, the estimated difference in average birth weight for smoking and nonsmoking mothers is: 7.28 – 6.82 = 0.46 pounds.ii. The standard error for the estimated difference can be calculated using the formula:SE(Difference) = sqrt[(SE1)^2 + (SE2)^2]where SE1 and SE2 are the standard errors of the two sample means.Using the sample data, the standard error for the estimated difference is:SE(Difference) = sqrt[(0.23)^2 + (0.12)^2] = 0.26 pounds.iii. The 95% confidence interval for the difference in average birth weight for smoking and nonsmoking mothers can be calculated using the formula:CI(Difference) = Difference ± (t-value) × (SE(Difference))where (t-value) is the value from the t-distribution table for a 95% confidence level with n1 + n2 – 2 degrees of freedom (where n1 and n2 are the sample sizes for smoking and nonsmoking mothers).Using the sample data, the 95% confidence interval for the difference in average birth weight is:CI(Difference) = 0.46 ± (2.048) × (0.26) = (0.04, 0.88) pounds.
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Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3