Line segment AB has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A′B′. What is the length of A′B′?
1 unit
2 units
3 units
5 units
Answer:
It is still 3.
Step-by-step explanation:
We only translated it, so we just moved it over to the side. Translating cannot take away length.
Use a normal approximation to find the probability of the indicated number of voters. in this case, assume that 114 eligible voters aged 18-24 are randomly selected. suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. probability that exactly 27 vote
Help me with these please!!
Suppose someone opens the valve on a large water tank so that water drains out. Choose a starting volume of water in the tank (from 100 to 500 gallons), and choose how much water drains out each day (from 2 to 5 gallons). Write the equation that models the relationship between time (x) and water volume (y) in slope-intercept form.
What positive number is the same as its reciprocal?
The only positive number that is the same as its reciprocal is 1. This is achieved by setting up the equation x = 1/x and solving it.
Explanation:In mathematics, a number and its reciprocal are the same when the number is 1. If you denote the mysterious number we are looking for as 'x', then its reciprocal would be 1/x. Since the number and its reciprocal are the same, we can set up the equation x = 1/x. Solving this equation, we cross multiply to get x^2 = 1. The positive solution to this equation is x = 1, which confirms that the only positive number that is the same as its reciprocal is 1.
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The length of a rectangle is three times its width. if the perimeter of the rectangle is 98 cm , find its area.
What is the discriminant of 3x2-10x=-2 ?
The discriminant of [tex]3x^2-10x=-2[/tex] is 76
To find the discriminant of [tex]3x^2-10x=-2[/tex], we have to recall the quadratic formula.
Further ExplanationThe formula of the quadratic equation can be expressed as [tex]ax^2+bx+c=0[/tex] and discriminant also expressed as [tex]D=b^2-4ac[/tex]
Using the quadratic formula, the given question can be expressed as:
[tex]3x^2-10x+2=0[/tex]
Where a = 3, b = -10, and c = 2
If we substitute the values, then the discriminant would be:
Recall the discriminant is [tex]D=b^2-4ac[/tex]
Therefore, we have
[tex]D=(-10)^2-4(3)(2)[/tex]
[tex]D=100-24[/tex]
[tex]D=76[/tex]
Thus, the discriminant of [tex]3x^2-10x=-2[/tex] is 76.
Discriminant is very helpful in quadratic equation as it helps reveals the number of real solutions to a given quadratic equation. In other words, it helps you to solve quadratic equation.
While discriminant only tells only reveals the number of real solutions, it doesn’t reveal what the solutions are. The determinant would only give you hint as regards the number of real solution to look for.
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Find the discriminent of the equation 3x2- 10x https://brainly.in/question/11507036Find the discriminent of the equation 3x2+10x+3=0 https://brainly.in/question/5897002KEYWORDS:
discriminantquadratic formula3x2-10x=-2solutionquadratic equationShaun and Trudy are selling raffle tickets. So far, Shaun has sold x tickets. Trudy has sold 3 more tickets than half the number of tickets that Shaun sold. Which expression represents the number of raffle tickets that Shaun and Trudy have sold altogether?
Answer:
3/2x+3
Step-by-step explanation:
A binomial is defined as what?
A 18 gram sample of a substance that’s used to detect explosives has a k-value of 0.1226
Find the substance’s half-life in days
Round your answer to the nearest tenth
Answer: 5.7
I just did the test and got it correct
cos y = 0.02034 ; y°=?
Which one of the following characteristics of a solid is of concern to geometry? A. Weight B. Shape C. Color D. Substance
Alex is making a rectangular garden and wants a fence around it. He wants the length of the garden to be 3 feet longer than the width. 150 feet of fence is all he can afford. What is the greatest possible width he can have for his garden?
A house is advertised as having 1 420 square feet under roof. what is the area of this house in square meters? (a) 115 m 2
Final answer:
To convert square feet to square meters, we multiply the number of square feet (1,420) by the conversion factor (0.092903), resulting in approximately 132 square meters as the area of the house.
Explanation:
To convert the area of a house from square feet to square meters, we use the conversion factor where 1 square foot equals 0.092903 square meters. The house in question has 1,420 square feet, so we multiply this number by the conversion factor to find the area in square meters.a
1,420 square feet * 0.092903 square meters/square foot = 131.92186 square meters.
We can round the final result to the nearest whole number, which gives us approximately 132 square meters as the area of the house.
One fish is 4 feet below sea level. Another fish is 3 feet below sea level. write each position as an integer. Which integer is greater?
A point in the form (x, y) has two dimensions. is this correct
Aaron is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What should be his next step in the construction? (5 points) Triangle DEF is shown with two sets of intersecting arc markings on either side of side EF. A line segment is drawn through eac Connect the arc markings to angle E to find another bisector Use the compass to find the perpendicular bisector for side DF Connect three arc markings to the vertices form the triangle Use the intersection of the arcs to determine the center of the circle
The next step is to use the compass to find the perpendicular bisector for side DF. Option B
Steps in constructing a circle in a triangle
The steps include;
First, construct the angle bisectors of each angle of the triangle.Then, construct the perpendicular bisectors of each side.Place the compass on a vertex and use the bisectors to draw the circle inside the trianglePlace the compass on the intersection of the bisectors and draw the circle.Thus, the next step is to use the compass to find the perpendicular bisector for side DF. Option B
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WILL GIVE A BRAINLIEST PLEASE HELP!!
Write the first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12.
A.
36, 30, 27, 25.5
B.
120, 72, 48, 36
C.
456, 216, 96, 36
D.
36, 48, 72, 120
If two lines are perpendicular, then they form?
Words that came from the same ancestral language and originated from the same word are called
The words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.
What is ancestral language?In the historical linguistics tree model, a protolanguage is a hypothetical ancestral language from which several documented languages are thought to have evolved, constituting a language family. In most cases, protolanguages are unattested or, at most, only partially attested.
The languages of Norway, Sweden, Denmark, and Iceland descend from Old Norse. Numerous Indian languages, including Bengali, Hindi, Marathi, and Urdu, have their roots in Sanskrit. Each of these ancestral languages had a single common progenitor further back in time.
The term "cognates" in linguistics refers to words with the same etymological background. These are words that have the same pronunciation, spelling, and meaning in two different languages. For instance, Spanish has many words that are similar to English words.
Therefore, Words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.
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Is the probability of (AnB) the same as P(A) x P(B)? If not, how can P(AnB) be calculated?
In the diagram, what is the length of arc AB?
A. 4.2 cm
B. 12.4 cm
C. 13.9 cm
D. 11.8 cm
Answer:
Step-by-step explanation:
The factory produces sewing machine parts. During one week, they produced 345, 298, 452 and 388 parts per day.
What was the average number of parts produced each day?
Answer:
The produced parts average each day were 370.75.
Step-by-step explanation:
We have to find the average of parts produced by day, to calculate it we have sum all the parts produced by day and divide it by the number of days (4 days). In the equation we have:
[tex]Average=\frac{345+298+452+388}{4}=\frac{1483}{4}=370.75[/tex]
The produced parts average each day were 370.75.
In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is . NextReset
Find the value of each variable for the right triangles. Make sure all answers are in reduced radical from. Shoe your work.
- Bruce added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week... ... The table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks: n f(n) 1 54 2 27 3 13.5 4 6.75 Which function best shows the relationship between n and f(n)?.
To solve this problem, let us first remember that the formula for rate is:
rate = f (n) = A (r)^(n-1)
Where,
A = the 1st term
r = fractional rate of evaporation
n = number of terms
Now let us calculate for the fraction rate of evaporation, r. Since it is stated that the evaporation is happening at a fixed rate, therefore we can use any two given f (n) values to find for r. In this case, let us use when n=1 and 2.
r = 27 / 54
r = 0.5
The first term in the series is when n = 1 and that is:
A = 54
Therefore substituting all known values to the equation:
f (n) = 54 (0.5)^(n-1) (ANSWER)
Forming a Perfect Square Trinomial Form the perfect square trinomial in the process of completing the square. What is the value of c? x2 + 3x + c = + c
Answer:
9/4 on edg
Step-by-step explanation:
Final answer:
To form a perfect square trinomial from x² + 3x + c, we find c by taking half of 3, squaring it, which gives us 9/4. Hence, the value of c is 9/4, making x² + 3x + 9/4 a perfect square trinomial.
Explanation:
To form a perfect square trinomial in the process of completing the square, you need to find the value of c that completes the square for the given quadratic expression x² + 3x + c. The process involves taking half of the coefficient of x, squaring it, and adding it as the constant term c.
Given that the coefficient of x is 3, we take half of it, which is 3/2, and then square this value to get (3/2)² = 9/4. Therefore, the value of c that makes x² + 3x + c a perfect square trinomial is 9/4.
This method is very helpful in solving quadratic equations by completing the square, and it forms a basis for the derivation of the quadratic formula.
A cube is packed with decorative pebbles. If the cube has a side length of 2 inches, and each pebble weighs on average 0.5 lb per cubic inch, what is the total weight of the pebbles in the cube?
We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:
V cube = s^3
Where s is the length of one side which is equivalent to 2 inches. Therefore:
V cube = (2 inches)^3
V cube = 8 cubic inch
Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:
Total weight = 0.5 lb per cubic inch * 8 cubic inch
Total weight = 4 lb
Therefore, the total weight of the pebbles in the cube is 4 lbs.
HELP
If f(x)=12x+4, then f^-1(x)=?
Which equations have no solution? Check all that apply.
– |x| = 0
|x| = –15
– |x| = 12
– |–x| = 9
– |–x| = –2