Answer:
2
Step-by-step explanation:
abshxhdbxbjsbxbsbxnd
Question 2 of 25
What is the slope of the line containing (-1, 5) and (2,-4)
The slope of the line containing (-1, 5) and (2, -4) will be negative 3.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are (-1, 5) and (2, -4). Then the slope of the line is given as,
m = (5 + 4) / (- 1 - 2)
m = 9 / (-3)
m = - 3
The slope of the line containing (-1, 5) and (2, -4) will be negative 3.
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What is the Recursive relation of 1,1,5,17,71,247…
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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Suppose the following set of random numbers is being used to simulate the
event of a basketball player making five free throws in a row. How should the
numbers be rearranged?
860583 785814 010122 337198 621549 034076 796495 978078 433330
333153
A. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978
078 433 330 333 153
B. 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597
8078 4333 3033 3153
C. 86058 37858 14010 12233 71986 21549 03407 67964 95978
07843 33303 33153
D. 860583 785814 010122 337198 621549 034076 796495 978078
433330 333153
The list that represents the simulation of five free throws is (c) 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
To illustrate the simulation of five free throws, then each number on the list must have 5 digits
The list is given as:
860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
When rearranged, we have:
86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
Hence, the list that represents the simulation of five free throws is (c) 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
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If n(U) = 100, n(X) = 51, n(Y) = 63 and n(XUY)' = 8 What is n(X ∩ Y)?
The value of the set for the given value of set complement is n(X ∩ Y) = 92.
What is set complement?In set theory, a set's complement The set of all U elements that are not in A is known as A. In other words, all the components that are in U but not in A are in A'. A' is the set of odd numbers, for instance, if U is the set of integers and A is the set of even integers. In many mathematical and computational applications, the complement of a set is a crucial idea in set theory.
Given that, n(U) = 100, n(X) = 51, n(Y) = 63 and n(XUY)' = 8.
Using the formula of union of two sets we have:
n(XUY)' = n(U) - n(X ∩ Y)
Substituting the values we have:
8 = 100 - n(X ∩ Y)
n(X ∩ Y) = 100 - 8
n(X ∩ Y) = 92
Hence, the value of the set for the given value of set complement is n(X ∩ Y) = 92.
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what is the least common multiple of 8 and 12
Answer:
the ans is 24
Step-by-step explanation:
because 24 is the smallest no they have in common
Write a quadratic function in standard form whose graph has the given characteristics.
The quadratic function in standard form that passes through (-2, 0), (4, 18), and (10, 0) is y = (- 1/2) x² + 4x + 10.
Given that, (-2, 0), (4, 18) and (10, 0).
What is a quadratic function in standard form?The standard form of a quadratic equation is given as:
ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.
Now, the equation passes through (- 2, 0)
y = ax² + bx + c
0 = 4a - 2b + c ----------------(1)
The equation passes through (4, 18)
y = ax² + bx + c
18 = 16a + 4b + c ----------------(2)
The equation passes through (10, 0)
y = ax² + bx + c
0 = 100a + 10b + c ----------------(3)
Using the Gauss elimination method to solve the system of equations we get,
a = -1/2, b = 4, and c = 10
The quadratic equation will be:
y = ax² + bx + c
y = (- 1/2) x² + 4x + 10
Therefore, a quadratic function in standard form with the given characteristics is y = (- 1/2) x² + 4x + 10.
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how do i work out 320.041 - 47.96
To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.
First, write the numbers with the decimal points aligned:
320.041
- 47.960
Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.
Continue subtracting each digit in the same way:
320.041
- 47.960
= 272.081
Therefore, 320.041 minus 47.96 is equal to 272.081.
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Becca hikes 9/10 mile in 5/3 hour.
Answer:
(9/10 mile)/(5/3 hour) = 27/50 miles/hour
Step-by-step explanation:
If you are looking for the speed, then speed = distance/time
speed = (9/10 mile)/(5/3 hour)
speed = 9/10 ÷ 5/3 miles/hour
speed = 9/10 × 3/5 miles/hour
speed = 27/50 miles/hour
Answer:
1. 9/10/3/5
2. 3/2
Step-by-step explanation:
Got it correct on iReady.
Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?
Answers: (this one is for what it was multiplied by)
A) 0.01
B) 0.1
C) 1
D) 10
Answers to the question:
E) 0.005
F) 0.05
G)0.5
H)5
Answer: A F D G
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
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Question # 3: Two-sixths of the kids attending a tennis camp are left-
handed. There were 48 total kids attending the camp. How many kids are
left handed?
Answer:
52
Step-by-step explanation:
34-56/93
390 + 86(90x89)
DONT LISTEN TO THIS
Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?
A. Diagonals are perpendicular.
B. Diagonals are congruent.
C. All sides are congruent.
D. The length of a diagonal is equal to the length of a side.
A parallelogram can only be a rectangle if the following conditions are satisfied: B) The diagonals must be congruent, and A) the diagonals must be congruent and perpendicular.
What is meant by parallelogram?A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal. The opposing sides of a parallelogram are all parallel and of equal length. a quadrilateral parallelogram. Rhombus: An equal-length parallelogram with four sides. A parallelogram is a square. Always. This is accurate. A square is a quadrilateral with two sets of parallel sides, four right angles, and four congruent sides.Since not all parallelograms have equal sides, not every parallelogram is a rhombus. The opposite is true, though, when every rhombus is a parallelogram.Every rectangle is a parallelogram, but not every parallelogram is a rectangle, is the correct statement.Therefore,
One feature of a parallelogram is that its diagonals are divided in half. A rectangle also has congruent diagonals.
In addition to being congruent, the diagonals in a square are perpendicular to one another.
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Real-life Problems Question 6
The amount of money that Theresa has left is equal to £2,740.
How to write a linear equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:
Let the variable a represent cost of flights for each of them.
Let the variable f represent cost of accommodation for each of them.
Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;
y = 12(a + b)
y = 12(266 + 339)
y = £7,260
For the amount of money left, we have:
Amount of money left = £10,000 - £7,260
Amount of money left = £2,740.
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The weights X of an animal are distributed according to the
probability distribution shown.
What is the probability that the animal's weight will be less than
151 pounds?
O 0.25
O 0.50
O 0.60
O 0.75
The probability that the animal's weight will be less than 151 pounds is 0.50.
The correct option is B.
What is the probability that the animal's weight will be less than 151 pounds?Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.
From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.
Therefore, the answer is O 0.50.
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HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help
Answer:
(-1, -4) is a solution
Step-by-step explanation:
3x + 3y ≤ -6
plug in point (-1, -4)
3(-1) + 3(-4) ≤ -6
-3 + -12 ≤ -6
-15 ≤ -6 true
(-1, -4) is a solution
Can a parallelogram have more than 3 lines of symmetry?
Answer:
no
Step-by-step explanation:
Parallelograms have zero lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.
Answer:
Technical answer no
BUT
if you are in a college/postgraduate level group theory class yes
Step-by-step explanation:
Imagine a square, and imagine 4 lines across the top, the side, and the two diagonal ones. Because the two diagonal lines of symmetry are technically the same, there are only three possible lines.
if you are in the group theory class, comment and ill give a lengthy answer on that.
what would you have if you had only 3 wishes
Answer:
I would ask for being rich with my first wish and then ask to stop discrimination in the world and for number 3 i would ask being famous
Step-by-step explanation:
marking brainliest for a simple math problem
Answer:
B. 88
Step-by-step explanation:
the total data = 1+2+4+5 = 12
the median is (a6+a7) /2
a6 = 87, a7 = 89
so, the median = (87+89)/2 = 88
Answer:
B. 88
--
the median is (a6+a7) /2
a6 = 87, a7 = 89
so, the median =\(\frac{87+89}{2}\)= 88
F(x) = x^2. What is g(x)
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – kf(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
what is the equation for the graph below? A y = − (x − 3)2 + 1B y = − (x + 3)2 + 1C y = (x − 3)2 − 1D y = (x + 3)2 − 1
Solution
Notice that the graph passes through the two points (0,2) and (-2,8)
The equation of the straight line graph will be of the form
\(y=mx+c\)Where m is the slope and c is the y - intercept
We will first the slope first
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(\begin{gathered} x_1=0 \\ y_1=2_{} \\ x_2=-2 \\ y_2=8 \end{gathered}\)\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{8-2}{-2-0} \\ m=\frac{6}{-2} \\ m=-3 \end{gathered}\)Thus,
\(y=-3x+c\)Recall that c is the y - intercept and the y - intercept is at 2
Thus,
\(c=2\)\(y=-3x+2\)We will now consider the options to see which gives the above equation
Option A
\(\begin{gathered} y+1=-3(x-1) \\ y+1=-3x+3 \\ y=-3x+3-1 \\ y=-3x+2 \end{gathered}\)Therefore, Option A is Correct
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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#7 There are 24.5 ounces of uncooked rice in a bulk container. A customer is removing rice from the container at a rate of 3.25 ounces per second. How many ounces of uncooked rice are in the container after 4 seconds? *
A. 11.5 ounces
B. 21.25 ounces
C. 27.75 ounces
D.37.5 ounces
Answer:
(A) 11.5 ounces
Step-by-step explanation:
Multiply 3.25 by 4
3.25 x 4 = 13
Subtract 13 from 24.5
24.5 - 13 = 11.5
= 11.5 ounces
A bakery produces 280 loaves of bread and 95 cakes daily.
explain how you would compute the percent of the baked foods that are cakes.
The percent of the baked foods that are cakes will be 25.33%
How to calculate the percentage?It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.
The percent of the baked foods that are cakes will be:
= Number of cakes / Number produced daily × 100
= 95 / (280 + 95) × 100
= 95 / 375 × 100
= 25.33%
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HELP I WILL GIVE BRAINLIEST IF RIGHT
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
Which of the following equations best represents the regression line for the data given in the table above?
Answer:
B. y=3x-2
Step-by-step explanation:
Regression line has positive slope value, it's rise from left to right.
y=3x-2 seems to be the most possible one
evaluate the following 32^4/5
Identify the GCF of the following terms: 40a5b9c4and 22a7b6
Answer:
Check photo.
Step-by-step explanation:
What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula h = StartFraction 2 A Over b EndFraction, where A represents the area of the triangle, h represents the height, and b represents the length of the base. One-third centimeter Two-thirds centimeters 3 Centimeters 6 Centimeters
Answer:
The base is 6cm
Step-by-step explanation:
Using \(\frac{1}{2}\)bh=area, you just plug in 6 for h and 18 for area and solve. The formula should be 3b=18, which equals 6
The solution is Option D.
The length of the base of the triangle is B = 6 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle be represented as A
Now , the value of A = 18 cm²
Let the base of the triangle be B
Let the height of the triangle be H = 6 cm
Now , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
18 = ( 1/2 ) x B x 6
18 = 3B
Divide by 3 on both sides of the equation , we get
B = 6 cm
Hence , the base length of the triangle is B = 6 cm
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Write an expression that is equal to 20 usong only one 2 and two 4s and any number of math symbols
Answer:
4^2+4
Step-by-step explanation:
one 2 and two 4s
so 4^2+4=16+4=20
so 4^2+4
(calculation)