Answer:
See below.
Step-by-step explanation:
A spinner has 12 equal-sized sectors labeled 1 to 12.
The sample space is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
The sample space is all the possible outcomes of an event.
Find an expression for the nth term (tn) in each of the following sequence: 2, 4, 6, 8, 10, ... PLEASE FAST
Answer:
2n
Step-by-step explanation:
2 x 1 = 2
2 x 2 = 4
.......
2 x 5 = 10
Find the difference between the terms. e.g 4 - 2 = 2, then times it by n for the expression
What is the perimeter of this shape?
1. 180 square inches
2. 190 square inches
3. 1200 square inches
4. 1120 square inches
PLEASE HELP FOR 20 POINTS
Answer:
You Answer is C. 738
Step-by-step explanation:
L x W x H
A= 2 w l h l h w = 2 18 13.5 4 13.5 4 18 = 738
» wipt is to sum in simplest form?
41 +1% = 0
6
5
10
1
10
54
Please help!
Answer:
6 1/10
Step-by-step explanation:
4,5 + 1,6 = 6,1 = 6 1/10
what is the behavior of the graph y =-x^3-5x^2-3+9 at each of its zeros
The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:
At x ≈ -4.919 and x ≈ -0.488, there are local minima.
At x ≈ 1.752, there is a local maximum.
Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.
To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.
To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.
Initial guess: x_0 ≈ -5
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
where f(x) = -x^3 - 5x^2 - 3x + 9
f'(x) = -3x^2 - 10x - 3 (derivative of f(x))
x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)
≈ -4.919
Initial guess: x_0 ≈ -1
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)
≈ -0.488
Initial guess: x_0 ≈ 2
Applying the Newton-Raphson method:
x_1 = x_0 - f(x_0) / f'(x_0)
x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)
≈ 1.752
After iterating through the Newton-Raphson method, we approximate the zeros as follows:
x ≈ -4.919
x ≈ -0.488
x ≈ 1.752
Now, let's analyze the behavior of the graph at each zero:
x ≈ -4.919:
When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.
x ≈ -0.488:
When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.
x ≈ 1.752:
When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.
for such more question on graph
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On the first play of a football game, the Titans lost 31
yards. On the second play, the Titans lost 2 yards. Then
they gained 12 yards on the third play. What was the
position of the ball relative to its starting point after the
first three plays of the game?
Answer: I never had this type of question before but try -21
Step-by-step explanation:
I assume -21 because that’s the total amount of yards lost. But I don’t know
A rectangular prism has a volume of 344 cubic units. Find its volume of two dimensions were doubled, and a third dimension was tripled
Answer: 4128
Step-by-step explanation:
A quadrilateral is shown on the graph below. If the dimensions of this
quadrilateral are scaled by a factor of 2, which equation models the
effect this scaling has on the area of the figure.
Answer:
Area of the image rectangle = 4(Area of the original rectangle)
Step-by-step explanation:
Length of the rectangle given in the graph = 4 units
Width of the rectangle = 2 units
Area of the rectangle = Length × Width
= 4 × 2
= 8 square units
Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]
Length of the image rectangle = 2(4)
= 8 units
Similarly, width of the image rectangle = 2(2)
= 4 units
Area of the image rectangle = 8 × 4
Area of the image = Area of the original × 4
Area of the image = 4(Area of the original)
Area of the image rectangle = 4(Area of the original rectangle)
need help on this asap actual explanation!
Answer:
Vertex means the highest or lowest coordinate in a parabola (and also absolute value)
Here we see the lowest point is (-2,0), so the vertex is (-2,0)
A standard quadratic equation is written as a(x-h)^2+k
h and k are the vertex coordinate h is x and k is y
so by finding the vertex we found that h = -2 and k = 0
so you plug it in
a(x-(-2))^2+0=y
a(x+2)^2=y
when finding a, you take a random point in the graph and plug it in and solve it
lets take (-1,1)
so its a(-1+2)^2 = 1
a(1)^2 = 1
a=1
so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
janet makes the conjecture that line p is also parallel to line r . What must the value of y be for her conjecture to be correct?
show your work!!! am off 75 points and brainliest answer.
Answer:
A. 6.75
Step-by-step explanation:
8x+18=4x+57
8x-4x=57-18
4x=39
4x+57=180-(8y+30)
39+57=180-8y-30
96=150-8y
8y=150-96
= 54
y= 54/8 = 6.75
Taking a test i don’t know anything about please help
In an Economics course, the correlation between the students' total score prior to the final exam and
their final exam score is r = 0.60. The pre-exam totals for all students in the course have mean 280
points and standard deviation 30 points. The final exam scores have mean 75 points and standard
deviation 8 points.
4. Find the equation of the least-squares regression line for predicting a final exam score from a
student's pre-exam total.
5.
Interpret the slope in context.
6.
Interpret the y-intercept in context.
7.
Calculate the fraction of variability, R?.
8.
Interpret R? in context.
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 4:
The line of regression is [tex]\hat y = a+bx[/tex] where:
[tex]a=\overline y-b \overline x[/tex]
[tex]b=\frac{r*s_y}{s_x}[/tex]
We are given that [tex]\overline y=75[/tex], [tex]s_y=8[/tex], [tex]\overline x=280[/tex], [tex]s_x=30[/tex], and [tex]r=0.60[/tex], therefore our slope, [tex]b[/tex], is:
[tex]b=\frac{r*s_y}{s_x}[/tex]
[tex]b=\frac{(0.60)(8)}{30}[/tex]
[tex]b=0.16[/tex]
Therefore, the slope of the regression line is 0.16, which can be used along with the values of [tex]\overline y[/tex] and [tex]\overline x[/tex] to find the constant [tex]a[/tex]:
[tex]a=\overline y-b \overline x[/tex]
[tex]a=75-(0.16)(280)[/tex]
[tex]a=30.2[/tex]
This means our final regression line is [tex]\hat y = 30.2 + 0.16x[/tex]
Problem 5:
The slope, [tex]b=0.16[/tex], means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.
Problem 6:
The y-intercept (or constant), [tex]a=30.2[/tex], means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.
Problem 7:
[tex]R^{2}=(0.60)^{2}=0.36=36\%[/tex]
Problem 8:
The fraction of variability (aka. coefficient of determination), [tex]R^2[/tex], means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.
Find the second, fourth, and eleventh terms of the sequence A(n) = 5 + (n - 1)(-3)
Answer:
2nd: 2
4th: -4
11th: -25
Step-by-step explanation:
When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:
A(2) = 5 + (2 - 1)(-3)
A(2) = 5 + (1)(-3)
A(2) = 5 - 3
A(2) = 2
To get the 4th term you substitute in 4:
A(4) = 5 + (4 - 1)(-3)
A(4) = 5 + (3)(-3)
A(4) = 5 - 9
A(4) = -4
And we do the same for the 11th term:
A(11) = 5 + (11 - 1)(-3)
A(11) = 5 + (10)(-3)
A(11) = 5 - 30
A(11) = -25
HELP
2/3 of the students in Lindsey's class are girls. Of the girls, 1/2 of them play a musical Instrument. What fraction of the
students play a musical Instrument? Choose the model that matches the situation.
Answer:
2/6 so the last box
Step-by-step explanation:
2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.
Answer:
The last box
Step-by-step explanation:
which equations represent functions that are non-linear? (select all that apply)
Answer:
Step-by-step explanation:
A and B are non-linear; A is a quadratic and B is a cubic.
The functions y-6=x² and y=2x²+5-3x are non-linear. Therefore, options A and B are the correct answers.
What is linear function?A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.
Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.
A) y-6=x²
Here, the highest degree is 2.
So, the equation is quadratic.
B) y=2x²+5-3x
Here, the highest degree is 2.
So, the equation is quadratic.
C) y=x
Here, the highest degree is 1.
So, the equation is linear.
D) 2y=1/2 x
Here, the highest degree is 1.
So, the equation is linear.
E) y=1/3 -5x
Here, the highest degree is 1.
So, the equation is linear.
F) y=8+x
Here, the highest degree is 1.
So, the equation is linear.
Therefore, options A and B are the correct answers.
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Select the correct answer
What is the fractional form of 0.8
A 8/10
B 1/8
C 8/9
D 8/11
Answer:
8/10
Step-by-step explanation:
A student was asked to identify the following numbers as rational or irrational. Determine if the student has made any mistakes. Choose ALL the INCORRECT answers. There may be more than one answer
Answer:
Yes they are wrong, rational & irrational ones down below.
Step-by-step explanation:
So, lets start this by asking, what is a rational and irrational number?
Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.
Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.
Note that the symbols listed above such as pi are values that are neverending.
Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.
So, we start off with:
-13/3
I do not see a square root.
I do not see a symbol such as pi either.
It is not a ever going number.(number that continues infinitly)
So -13/3 is a rational number.
Next we have [tex]\sqrt{37}[/tex]
immediatly we tell it has a square root.
So [tex]\sqrt{37}[/tex] is a irrational number.
Next we have 0.1234
This is not a every going number.
There isnt a square root.
And it isnt a symbol.
So 0.1234 is a rational number.
Next we have [tex]-\sqrt{100}[/tex]
Again, we can immediatly know it has a square root.
So [tex]-\sqrt{100}[/tex] is a irrational number.
Next we have -77
This is not every going.
It doesnt have a square root.
It doesnt have a symbol.
So -77 is a rational number.
Lastly we have [tex]-\sqrt{12}[/tex]
Like the other ones, we can imediatly tell it has a square root.
So [tex]-\sqrt{12}[/tex] is a irrational number.
Bascially, to answer further questions, here is the criteria for a number being rational:
It does not have a square root.It does not have a symbol.It is not a infinitly going on number.If one of these criterias are not met, then you know its a irrational number.
Hope this helps! :D
Answer:
OPTION A& D
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Ashton estimates the square root of 50 in the following way: Complete sentences √50= 2√25=2×5=10
Answer:
[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]
Evaluate the following expression when x = 4 and y = 2.
x²+y3
3
Answer:
24
Step-by-step explanation:
x^2+y^3
(4)^2+(2)^3
(4)(4)+(2)(2)(2)
16+8=24
can anyone solve this? question on image
Answer:
Negative integers
Step-by-step explanation:
2√180-14√20+10√45-√245
Answer:
[tex]2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65[/tex]
What about this one I don’t know
Answer:
I believe it is 12.
Step-by-step explanation:
Type the missing number that makes these fractions equal:
?/26=8/13
Answer:
16/26=8/13
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the denominator is double of 13, using that logic multiply 8 by 2 to get 16
what is the formula of a²-b²?
Answer:
The formula of a²-b² are as follows:
Step-by-step explanation:
(a-b)(a+b)
(a-b)(a+b) is the answer
In a candy store, a $12.00 jar of candy is labeled, "30% off." What is the discount as a dollar amount?
Answer:
8.40
Step-by-step explanation: This means the cost of the item to you is $8.4. You will pay $8.4 for a item with original price of $12 when discounted 30%. In this example, if you buy an item at $12 with 30% discount, you will pay 12 - 3.6 = 8.4 dollars.
Answer:
The new total will be $8.40.
Step-by-step explanation:
The 30% off discount gives you $3.60 off of your purchase.
Can someone pls help me on this it’s due soon ty
Answer:
10.1
Step-by-step explanation:
Answer:
10.1 units
Step-by-step explanation:
Since they have the same x axis you have to find the difference from the y axis. I just add the two if one is positive and the other is negative so 2.9+(-7.2) = 10.1
Plz help!! Will make brainliest
Answer:
-2x^2-6x-15=0
Step-by-step explanation:
Shift the 15 to the other side to get ax^2+bx+c
-2x^2-6x-15=0
HELP I WILL MARK BRAINLIST!!!
Answer:
The answer would be b this is because i did the math and i got 5 yards
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
On a coordinate plane, Point W is 5 units from the origin. If Point W is located at (3, y), which of these is a possible value for the y-coordinate of Point W?
Answer:
W (3 , 4) or W (3 . -4)
Step-by-step explanation:
W (3 , y), origin (0 ,0)
WO = √(3-0)²+(y-0)² = √9+y²
WO = 5
√9+y² = 5
9+y² = 25
y² = 16
y = ± 4
W (3 , 4) or W (3 . -4)
Answer:
-4
Step-by-step explanation:
The ecology club wants to collect 200 bags of trash for a cleanup.Before lunch they collected 87 bags.After lunch they collected 95 more bags.
How many more bags does the club need to reach 200 bags total?
Answer:
18 more bags
Step-by-step explanation:
87 + 95 = 182
200 - 182 = 18