the midpoint of a segment is (2,-5), and one of the endpoints is (3,6). where is the other endpoint?
12 divided by -0.03 it need help
If arc AXC = 235°, what is m∠ABC?
117.5°
60°
55°
125°
The measure of the exterior angle of the circle ∠ABC = 55°
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
A = θ/360 x πr²
where;
θ is the central angle of the sector
r is radius
Given data ,
Let the measure of the arc be represented as A = 235°
So , the difference of the measures of arc = 235 - 125°
Now , the measure of the external angle ∠ABC = ( 235 - 125 ) / 2
So , the external angle ∠ABC = 55°
Hence , the measure of angle ∠ABC = 55°
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Which ordered pair is a solution to this equation?
(x+3)y = 14
A. (3, 2)
B. (5, 2)
C. (11, 1)
D.(7, 2)
How many solutions are there to the equation below?
17x- 8 = 3x + 16
A. 1
B. 0
C. infinitely many
Answer:
only one solution
Step-by-step explanation:
The given equation is
17x- 8 = 3x + 16
Add 8 to both sides
17x = 3x + 24
Subtract 3x to both sides
14x = 24
Divide both sides by 14
x = 24/14
x = 12/7
Since, we got only one value of x.
Therefore, the equation has only one solution.
A is correct option.
You invest an initial $4,500 in an account that has an annual interest rate of 4.5%, compounded daily. How much money will you have in the account after 10 years? Round to the nearest whole number
Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)
A grocery store display has 60 oranges and 18 apples.
What is the ratio of oranges to apples?
Enter your answer in simplest fractional form in the box.
?
Hello, I hope this will help you out!
The ratio of oranges to apples is 10/3! Hope that helped!
Answer:
Given condition: A grocery store display has 60 oranges and 18 apples.
Then,
Number of oranges = 60 and
Number of apples = 18.
Then, we use ratios to make comparisons between two things.
When we express a ratios in words we use the word ''to'' then we say that the ratio of something to something else.
Ratio of oranges to apples = [tex]\frac{Number of oranges}{Number of apples}[/tex]
then,
Ratio of oranges to apples =[tex]\frac{60}{18}[/tex]
Divide numerator and denominator by 6, we get
Ratio of oranges to apples =[tex]\frac{10}{3}[/tex] which is in the simplest fractional form.
You are making a scale drawing out of your classroom using the scale 1 inch: 3 feet. The floor of your classroom is a rectangle with a length of 21 feet and a width of 18 feet. What should the length and width of the floor in your drawing be?
Let f(x) = 7x − 13. find f−1(x). (1 point)13x − 77 over quantity of x plus 13quantity of x plus 13 over 71 over quantity 7 x minus 13
daniel team scored 40 points at the game danielscored 50% of the teams points how many poits did daniel scored
Maggie was thinking of a number. If she multiply the number by 3 ,subtracted by 8 ,added by 2 times the 5 original number . the result was 48. write an equation that the number satisfies. Then answer it.
To solve the word problem, we set up and solved an algebraic equation. Maggie's original number is approximately 4.31 after converting the written problem into the equation 3x - 8 + 10x = 48 and solving for 'x'.
The goal is to translate the word problem into an algebraic equation and solve for the unknown number. If Maggie is thinking of a number, let's use 'x' to represent this unknown number. According to the problem, she multiplies the number by 3, subtracts 8, and then adds 2 times the original number 5 times. The result of these operations is 48. Here's how you set up the equation:
3x - 8 + 10x = 48
The next step is to combine like terms:
13x - 8 = 48
Now we add 8 to both sides of the equation:
13x = 56
The last step is to divide both sides by 13 to solve for x:
x = 56 / 13
x = 4.3077 or approximately 4.31 if rounded to two decimal places.
Therefore, Maggie's number is approximately 4.31.
rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x)
To rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x), we can use polynomial division.
Explanation:To rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x), we can use polynomial division. Here are the steps:
Divide x^3+5x^2+3x-10 by x+4 using polynomial division.Write the quotient obtained as q(x) and the remainder obtained as r(x).The denominator b(x) is the divisor, which is x+4.Therefore, the rational expression x^3+5x^2+3x-10/x+4 can be rewritten as q(x) + r(x)/b(x), where:
q(x) is the quotient obtained from polynomial division.r(x) is the remainder obtained from polynomial division.b(x) is the divisor, which is x+4.
Multiply.
(7x+3)(4x−5)
The answer is: [tex]\( 28x^2 - 23x - 15 \)[/tex]
To multiply the expression (7x+3)(4x-5) we apply the distributive property, also known as the FOIL method for binomials.
This involves multiplying each term in the first binomial by each term in the second binomial and then combining like terms.
Here's the step-by-step process:
1. Multiply the first terms: [tex]\( (7x) \cdot (4x) = 28x^2 \)[/tex]
2. Multiply the outer terms: [tex]\( (7x) \cdot (-5) = -35x \)[/tex]
3. Multiply the inner terms: [tex]\( (3) \cdot (4x) = 12x \)[/tex]
4. Multiply the last terms: [tex]\( (3) \cdot (-5) = -15 \)[/tex]
Now, combine the like terms:
[tex]\( 28x^2 - 35x + 12x - 15 \)[/tex]
Therefore, the correct final expanded form of the expression is:
[tex]\( 28x^2 - 23x - 15 \)[/tex]
Use the stem and leaf plot shown to answer the following question.
What is the upper quartile median value?
37
40
41
Answer:
The upper quartile median value is 40. Therefore second option is correct.
Step-by-step explanation:
Stem is first digit of a number and leaf is last digit of a number.
Stem 1 leaf 4 can be written as 14.
From the given table, the observations can be written as
[tex]16,18,23,25,26,34,37,37,40,41,46[/tex]
Total number of observations is 11, which is an odd number.
[tex]median=\frac{n+1}{2}\text{th term}[/tex]
[tex]median=\frac{11+1}{2}\text{th term}=6\text{th term}[/tex]
Therefore median is 34.
We have 5 terms before 34 and 5 terms after 34.
[tex]Q_1=\frac{n+1}{4}\text{th term}=3\text{th term}[/tex]
[tex]Q_1=23[/tex]
[tex]Q_3=\frac{3(n+1)}{4}\text{th term}=9\text{th term}[/tex]
[tex]Q_3=40[/tex]
Q₃ is also known as upper quartile median value. Therefore second option is correct.
Arcsin(sin(3pi)) ...?
What is the ratio 15 : 24 written in lowest terms?
a. 3 : 5
b. 5 : 8
c. 3 : 4
d. 7 : 8 user: ratio for 6 and 30?
its b i done the test
Which quantity is used to generate the error bars on a graph?
range
median
linear correlation
standard deviation
Answer:
D
Step-by-step explanation:
Edge 2022
I will post a graph and using it you have to figure out 4 things.
(i.) (lim x->60-) f(x)
(ii.) (lim x->60+) f(x)
(iii.) What can you conclude about (lim x->60) f(x)? How is this shown by the graph?
(iv.) What aspect of costs of renting a car causes the graph to jump vertically by the same amount at its discontinuities?
What is the sum of the first ten non-zero multiples of twenty
The sum of the first ten non-zero multiples of twenty is 1100. This is calculated using the arithmetic series sum formula where n=10, the first term is 20 and the last term is 200.
The sum of the first ten non-zero multiples of twenty can be calculated using the formula for the sum of an arithmetic series. The first ten non-zero multiples of twenty are 20, 40, 60, 80, 100, 120, 140, 160, 180, and 200.
To calculate their sum, you detect a common difference which is the number 20 itself and use the sum formula for an arithmetic series where Sn = n/2 * (a1 + an), where Sn is the sum of n terms, a1 is the first term, and an is the last term.
In this case, n=10, a1=20, and an=200. So, the sum Sn = 10/2 * (20 + 200) = 5 * 220 = 1100. Therefore, the sum of the first ten non-zero multiples of twenty is 1100.
Use the formula P = 2l + 2w to find the length of a rectangle whose perimeter is 57 inches and whose width is 13 inches.
What is the greatest common factor of 20, 45x?
Is the number 5 prime,composite,or niether
Evaluate -6^ 2 - 28 ÷ 4 + (-9).
52
-52
20
-20
Which of the following shows the extraneous solution to the logarithmic equation below?
log3(18x^3)-log3(2x)=log3(144)
x=-16
x=-8
x=-4
x=-2
The value that shows the extraneous solution to the logarithmic equation below is x = -4
Extraneous solutions to a system of equationGiven the logarithmic function expressed as:
log3(18x^3)-log3(2x)=log3(144)
This can also be written as:
log3(18x^3/2x) = log3(144)
log3 (9x^2) -= log3 (144)
Cancel out the log function to have:
9x^2 = 144
Divide both sides by 9
x^2 = 144/9
x^2 = 16
x = ±4
Hence the value that shows the extraneous solution to the logarithmic equation below is x = -4
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Use the graph below for this question:
graph of parabola going through 0, 3 and 2, negative 5.
What is the average rate of change from x = 0 to x = 2?
− 4
− 8
1
5
Can you please help me?
The average rate of change from x = 0 to x = 2 for the parabola described in the question is -4. Hence the correct option is 1.
The average rate of change of a function between two points is calculated by subtracting the y-values (function outputs) and dividing by the difference in x-values (inputs). In this case, to find the average rate of change of the parabola from x = 0 to x = 2, we use the points (0, 3) and (2, -5).
The average rate of change = (y2 - y1) / (x2 - x1)
Substitute in the given points: ( -5 - 3 ) / ( 2 - 0 )
Simplify the expression: -8 / 2 = -4
10 times 16200times 9
alfonso makes $8 per hour working at movie theater and $12 per hour working at a restaurant. Next week Alfonso is scheduled to work 6 hours at a the movie theater. which of the following inequalities represents the amount of hours (h) that alfonso needs to work at the restaurant next week to earn at least $144 between his two jobs
5 inches equals how many centimeters
Which of the following is the definition of a rational number? a number that can be written as a nonterminating or nonrepeating decimal a number that is divisible by only 1 and itself a number that can be written as a ratio of two integers a number that has a multiplicative inverse
Final answer:
A rational number is a number that can be written as a ratio of two integers, with the denominator not equal to zero.
Explanation:
The definition of a rational number is a number that can be written as a ratio of two integers, where the numerator and the denominator are both integers and the denominator is not zero. For example, fractions such as 2/3, where both 2 and 3 are integers, represent rational numbers. This is different from irrational numbers like √2 or transcendental numbers like π, which cannot be expressed as a ratio of two integers.
Furthermore, while all integers are themselves rational numbers (since any integer 'a' can be written as 'a/1'), not all rational numbers are integers, particularly when the numerator is not a multiple of the denominator.