which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?
Answers
The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.
Therefore the answer is A.
The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.
Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.
Expression B is the correct expression because it uses integer division and the division by 2 is clear.
Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.
Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.
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--The question is incomplete, answering to the question below--
"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?
A. (1.0 /2.0)*b*h
B. (1 /2)*b*h
C. (b*h)/2.0
D. 0.5*b*h"
Related Questions
Chester worked for 8hour each day for 5days.He earned P2190.00.How much did he earn per hour?
Answers
Answer:
P54.75 per hour.
Step-by-step explanation:
If he earned 2190 pesos on working 8 hours each for 5 days then he earned 54.75
Equation: hours x days / earnings
Therefore, 8 hours x 5 days = 40
2190 / 40 = P54.75 / hour
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)
Answers
The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
What is value?Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.
This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).
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What describes the composition of the transformations
Answers
Answer:
Step-by-step explanation:
A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines)
Suppose a random sample of size 36 is selected from a population with o = 100. Find the standard error of the mean for the population size 800.
Answers
The standard error of the mean for a population size of 800 is approximately 7.9057.
To find the standard error of the mean (SEM), we can use the following formula:
SEM = o / sqrt(n)
where o is the population standard deviation, n is the sample size.
In this case, o = 100 and n = 36. We want to find the SEM for a population size of 800. To do this, we first need to adjust the sample size by multiplying it by the ratio of the population sizes:
adjusted_n = n * (N / n)^(1/2)
= 36 * (800 / 36)^(1/2)
= 160
where N is the population size.
Now we can calculate the SEM:
SEM = o / sqrt(adjusted_n)
= 100 / sqrt(160)
= 7.9057 (rounded to four decimal places)
Therefore, the standard error of the mean for a population size of 800 is approximately 7.9057.
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Help someone please I need this one correct to get a good grade
Answers
1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.
2) Then the cube root of 27, because 3 cubed is equal to 27
3) Finally, pi is the largest since it equals 3.142.
Good luck with your grades.
root 8 < pi < cube root 27
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?
Answers
Answer:
Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour
Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour
Together: 25 + 15 = 40 bulbs/hour
(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours
(3/4 hours)(60 minutes/hour) = 45 minutes
Total time: 3 hours 45 minutes
Given the functions f(x) = x3 x2 – 2x 3 and g(x) = log(x) 2, what type of functions are f(x) and g(x)? justify your answer. what key feature(s) do f(x) and g(x) have in common? (consider domain, range, x-intercepts, and y-intercepts.)
Answers
The functions f(x) and g(x) are different functions
The function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common feature in both functions is their range
According to the statement
we have given that the some functions and we have to justify these functions.
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common key features of the functions
To do this, we plot the graphs of both functions
From the attached graph, we have the following features:
Function f(x)
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y - intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions is their range.
The functions f(x) and g(x) are different functions
The function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common feature in both functions is their range
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find an equation of the tangent line to the curve at a given point
y= ln ln x (e,0)
Answers
The equation of the tangent line to the curve y = ln(ln(x)) at the point (e, 0) can be found using the derivative of the function and the point-slope form of a line. The tangent line represents the instantaneous rate of change of the curve at that point.
To find the equation of the tangent line, we first take the derivative of the function y = ln(ln(x)). Applying the chain rule, we have dy/dx = (1/ln(x))(1/x). Evaluating this derivative at x = e (the base of natural logarithm), we get dy/dx = (1/ln(e))(1/e) = 1/e. This slope represents the rate of change of the curve at the point (e, 0).
Using the point-slope form of a line, where y - y₁ = m(x - x₁), we can substitute the slope m = 1/e and the point (x₁, y₁) = (e, 0) into the equation. Thus, the equation of the tangent line is y - 0 = (1/e)(x - e), which simplifies to y = (1/e)x - 1.
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Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
Answers
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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Help plz plz plz :)
Answers
Answer:
x= 3/5 or x= 0.6
Step-by-step explanation:
Name:
Practice & Problem Solving
7. Leveled Practice Use the Pythagorean Theorem
to find the distance between points P and Q to the nearest tenth.
Label the length, in units, of each leg of the right triangle.
ty
c²=
10
8
6
4
2
P(3, 2)
Q(10, 10)
units
0
0 2 4 6 8
10
X
units
c²=
C=
2+
The distance between point P and point Q is about
Answers
Therefore, the distance between points P and Q to the nearest tenth is about 10.6 units.
What is Pythagorean Theorem?The Pythagorean Theorem is a mathematical formula that describes the relationship between the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical notation, the theorem can be expressed as: c² = a² + b² where c is the length of the hypotenuse, and a and b are the lengths of the other two sides. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery. The Pythagorean Theorem has many practical applications in fields such as architecture, engineering, physics, and trigonometry. It can be used to solve a wide range of problems involving right triangles, such as finding the distance between two points in a coordinate plane, calculating the height or length of an object, or determining the angle of elevation or depression.
Here,
To find the distance between points P(3, 2) and Q(10, 10), we can use the distance formula or the Pythagorean theorem. Since the prompt asks us to use the Pythagorean theorem, we can create a right triangle with points P and Q as two of its vertices and find the length of the hypotenuse using the theorem.
First, we need to find the lengths of the legs of the right triangle. The horizontal leg is the difference between the x-coordinates of the two points:
leg₁ = 10 - 3 = 7
The vertical leg is the difference between the y-coordinates of the two points:
leg₂ = 10 - 2 = 8
Now, we can use the Pythagorean theorem to find the length of the hypotenuse (c), which is the distance between points P and Q:
c² = leg₁² + leg₂²
c² = 7² + 8²
c² = 49 + 64
c² = 113
c ≈ √113 ≈ 10.6 (rounded to the nearest tenth)
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Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -9
Answers
Suppose S is the set of integers that are multiples of 3, and T is the set of integers that are odd. Prove that |S| = |T| by constructing a bijection between S and T.
Answers
The bijection could be defined from the set of numbers and it is proved.
We can define a bijection f from S to T as follows: for any integer x in S, let f(x) = x + 1.
To show that f is a bijection, we need to prove that it is both injective and surjective.
To prove that f is injective, suppose f(x) = f(y) for some x, y in S. Then x + 1 = y + 1, which means x = y. Thus, f is injective.
To prove that f is surjective, let y be an arbitrary element of T. Since y is odd, we can write y = 2n + 1 for some integer n. Now consider the element x = 3n in S. We have f(x) = x + 1 = 3n + 1 = y, so f is surjective.
Therefore, f is a bijection from S to T, so |S| = |T|.
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Find the lateral area of this cone.
Round to the nearest tenth.
Hint: Lateral Area of a Cone = url
Where l = slant height
15in
12in
[?] in2
Answers
Answer:
565.5 in²
Step-by-step explanation:
Lateral area of a cone is represented by,
Lateral surface area = πrl
Here 'r' = Radius of the circular base
l = lateral height of the cone
By this formula,
Lateral area = π(12)(15)
= 565.49
≈ 565.5 square inch
Therefore, 565.5 in² is the answer.
It’s due at 9 am can someone plz help me asap !!!!!
Answers
Answer:
a)=30-4*8+5
= 30-32+5
= -7
b) =2-4(-2)*2/4
=2+8*2/4
=2+16/4
=2+4
=6
c)=0-25-3
= -28
oh!by the way this is / divide and this is* multiply
The product of w and 2 is greater than or equal to 19.
Answers
Equation Form:
w x 2 \(\geq\) 19
Divide both sides by 2:
w \(\geq\) 9.5
So, w must be equal to or greater than 9.5 for this equation to work.
State the interval where the median lies.
Answers
Answer:
it lies in the middle term in the arranged data set the medium class interval is corresponding were the medium Value falls
Step-by-step explanation:
I hope it will help
Melinda will roll two standard six-sided dice and make a two-digit number with the two numbers she rolls. For example, if she rolls a 6 and a 3, she can either form 36 or 63. What is the probability that she will be able to make an integer between 10 and 20, inclusive
Answers
The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.
The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.
To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:
11, 12, 13, 14, 15, 16
Notice that we only have six favorable outcomes.
Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.
To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):
Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6
Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.
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10.ja box contains 24 light bulbs, of which two are de- feefive. if a person selects 10 bulbs at random, without replacement, what is the probability that both defective bulbs will be selected?
Answers
Hence, the probability that both defective bulbs will be selected is 0.1630
We are given that a box containing 24 light bulbs. 2 light bulbs are defective.
Now if a person selects 10 bulbs at random, without replacement.
We are required to find the probability that both defective bulbs will be selected.
Since there are two defectives, therefore two defective can be chosen in(2,2) ways.
Also since 10 bulbs are selected, the remaining 8 bulbs can be selected in (22,8)
Also, the total number of ways 10 bulbs can be selected is:
\(^{22}C_8\\\)
Therefore, the probability that both defective bulbs will be selected is:
\(=\frac{(^2c_2)(^{22}C_2)}{^{24}C_10}\\\\=1.630.\)
rounded to 4 decimal places
Hence, the probability that both defective bulbs will be selected is 0.1630
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If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-3) = 15 f(-1) = -11 f(0) = -9 f(2) = 5 f(3) = -3
Answers
Answer:
f(0)=-9 and f(3)=-3
Step-by-step explanation:
f(-3)=15 - so to solve this we have to replace x with -3, which would equal:
2(-3)-9=-15. -15 doesn't equal 15, so this is incorrect.
f(-1)=-11 Substitute x for -1: 2(-1)-9=-12. -12 doesn't equal -11, so this is also incorrect.
f(0)=-9 Substitute x for 0. 2(0)-9= -9. -9 does equal -9, so this is correct.
f(2)=5 Substitute x for 2. 2(2)-9=-5. This isn't correct.
f(3)=-3 Substitute x for 3. 2(3)-9=-3. This is also correct because -3 does equal -3.
Hope this helps! :)
What’s the probability of drawing a club and then a diamond with replacement
Answers
The probability of drawing a club and then a diamond with replacement is 1/16.
First, let's calculate the probability of drawing a club. There are 13 clubs in a standard 52-card deck, so the probability of drawing a club is 13/52, or 1/4.
Next, let's calculate the probability of drawing a diamond with replacement. Since we are replacing the first card, there are still 52 cards in the deck, and 13 of them are diamonds. So the probability of drawing a diamond is also 13/52, or 1/4.
To find the probability of both events happening, we multiply the probabilities together:
1/4 * 1/4 = 1/16
Therefore, the probability of drawing a club and then a diamond with replacement is 1/16.
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how many calories from alcohol are in a margarita containing 12 grams of alcohol? select the correct formula from the drop-down menu and read the units carefully.
Answers
There are 84 calories from alcohol in a margarita containing 12 grams of alcohol.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The formula to calculate the calories from alcohol in a drink is:
Calories from alcohol = (Grams of alcohol) x (7 calories per gram)
Therefore, to calculate the calories from alcohol in a margarita containing 12 grams of alcohol, we use this formula:
Calories from alcohol = 12 grams x 7 calories/gram = 84 calories
Therefore, there are 84 calories from alcohol in a margarita containing 12 grams of alcohol.
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Hellooo just asking to give me practice questions about percent, taxes, discounts, percent change and original price. I have a test so I want to studyy! :)
Answers
Answer:
if you get a 12% discount on a $67.98 jacket, what is the new price?
(Hope this helps!)
3y+15x=-15
I need the answer ASP!!!
Answers
Answer:
written in y=mx+b form: y=−5x−5
Written in standard form: 3y+15x=−15
Written in slope intercept form: y=−5x−5
uppose we have a training data set containing six observations, three predictors and one qualitative response variable. observation x1 x2 x3 y 1 0 3 0 red 2 2 0 0 red 3 0 1 3 red 4 0 1 2 green 5 -1 0 1 green 6 1 1 1 red for the k-nearest neighbors algorithm with k equals 3 and with the distance calligraphic l subscript 1 space m e a n i n g space d ((z subscript 1 comma z subscript 2 comma z subscript 3 )comma (w subscript 1 comma w subscript 2 comma w subscript 3 ))equals begin inline style sum from i equals 1 to 3 of end style open vertical bar z subscript i minus w subscript i close vertical bar. the color of origin 0(0, 0, 0) is: a) red b) green c) not defined. d) randomly selected.
Answers
The color of the origin (0, 0, 0) is green.
What is the predicted color of the origin using k-nearest neighbors?To determine the color of the origin (0, 0, 0) using the k-nearest neighbors algorithm with k equals 3 and the distance function d((z1, z2, z3), (w1, w2, w3)) = Σ|i=1 to 3| |zi - wi|.
we need to find the three nearest neighbors to the origin based on the given training data set.
Calculating the distances between the origin and each observation:
d((0, 3, 0), (0, 0, 0)) = |0 - 0| + |3 - 0| + |0 - 0| = 3d((2, 0, 0), (0, 0, 0)) = |2 - 0| + |0 - 0| + |0 - 0| = 2d((0, 1, 3), (0, 0, 0)) = |0 - 0| + |1 - 0| + |3 - 0| = 4d((0, 1, 2), (0, 0, 0)) = |0 - 0| + |1 - 0| + |2 - 0| = 3d((-1, 0, 1), (0, 0, 0)) = |-1 - 0| + |0 - 0| + |1 - 0| = 2d((1, 1, 1), (0, 0, 0)) = |1 - 0| + |1 - 0| + |1 - 0| = 3The three nearest neighbors to the origin are observations 2, 5, and 6, with distances of 2, 2, and 3, respectively.
Among these neighbors, two are green and one is red. Since green has a higher count, the color of the origin (0, 0, 0) would be **green**.
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right triangle abc is shown. triangle a b c is shown. angle a c b is a right angle and angle c b a is 50 degrees. the length of a c is 3 meters, the length of c b is a, and the length of hypotenuse a b is c. which equation can be used to solve for c? sin(50o)
Answers
The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).
In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).
The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.
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rotation 90 clockwise about the origin B (- 2,) , C(-4,3), Z(-3,4), X (- 1,4)
Answers
The coordinates of the images of the points are B'(x, y) = (0, 2), C'(x, y) = (3, 4), Z'(x, y) = (4, 3) and X'(x, y) = (4, 1), respectively.
How to rotate points about the origin
In this problem we find four points set on Cartesian plane, each of which has to be transformed by using the following transformation rule about the origin:
(x', y') = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)
Where:
(x, y) - Coordinates of the original point.
θ - Angle of rotation, in degrees.
If we know that B(x, y) = (- 2, 0), C(x, y) = (- 4, 3), Z(x, y) = (- 3, 4), X(x, y) = (- 1, 4) and θ = 90°, then the coordinates of the resulting point:
B'(x, y) = (- 2 · cos (- 90)° - 0 · sin (- 90°), - 2 · sin (- 90°) + 0 · cos (- 90°))
B'(x, y) = (0, 2)
C'(x, y) = (- 4 · cos (- 90°) - 3 · sin (- 90°), - 4 · sin (- 90°) + 3 · cos (- 90°))
C'(x, y) = (3, 4)
Z'(x, y) = (- 3 · cos (- 90°) - 4 · sin (- 90°), - 3 · sin (- 90°) + 4 · cos (- 90°))
Z'(x, y) = (4, 3)
X'(x, y) = (- 1 · cos (- 90°) - 4 · sin (- 90°), - 1 · sin (- 90°) + 4 · cos (- 90°))
X'(x, y) = (4, 1)
Finally, we proceed to graph the locations of the points, both original and resulting, by means of a graphing tool.
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Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answers
Answer:
2/3
Step-by-step explanation:
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
Answers
Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
The required equation of the line passing through (3, -2) and parallel to the line represented by y = 12x - 2 is y = 12x - 38.
What is Slope?Slope is usually denoted by m.
Slope is defined as the change in the value of the y coordinates with respect to the change in the value of x coordinates.
Equation of a line in slope intercept form is y = mx + c where m is the slope and c is the y-intercept.
y-intercept is the y coordinate when x coordinate equals zero.
It is given that the required line is parallel to y = 12x - 2.
Comparing with the slope intercept form of the line, the slope of y = 12x - 2 is 12.
Slope of two parallel lines are equal.
So the slope of the required line = 12
It is also given that required line passes through the point (x, y) = (3, -2).
Substituting these values,
-2 = (12 × 3) + c
-2 = 36 + c
c = -2 - 36
c = -38
So the required equation is found by substituting m = 12 and c = -38.
y = 12x - 38
Hence the equation of the line passing through (3, -2) and parallel to the line y = 12x - 2 is y = 12x - 38.
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how do I solve an equation with different variables on both sides? here is an example.
solve for x
9x – 2c = k
Answers
Answer:
Step-by-step explanation:
9x - 2c = k
9x = k + 2c
x = (k + 2c)/9