Answer:
A. The pattern is you multiply by 5
B. All 6 prizes are 25,000 and 5,000 and 1,000 and 200 and 40 and 8
C. ??
Step-by-step explanation:
The cash prize values in the game show reduce by a multiple of 5 each time from $25,000 to $5,000, $1,000, $200, $40, and $8. This forms a declining sequence and can be represented in a tabular form.
Explanation:Contestants on a popular game show have six containers from which to select a hidden cash prize. The pattern of the prize values seems to exist in multiples of 5, with each prize being 5 times smaller than the previous one.
a. 25,000 is the highest cash prize. The next highest prize is 5,000, which is 5 times smaller than 25,000. The third prize, 1,000, is again 5 times smaller than 5,000. Thus, there seems to be a pattern where each subsequent prize is 1/5th of the preceding one.
b. Continuing this pattern, the prize values in the remaining containers would be 200, 40, and 8. Each of these values is 1/5th of the preceding value.
c. We can represent the values in a numeric sequence as follows: 25,000, 5,000, 1,000, 200, 40, 8. Our table representation would look as follows:
ContainerPrize Value125,00025,00031,000420054068
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1 2 3 4 5 6 7 8 9 10 11
1) PEMDAS: 12 * 5 + 6 / 6
12 * 5 = 60
60 + 6 / 6
6 / 6 = 1
60 + 1 = 61
61 is the final answer.
2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2
2 in the final answer.
3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.
-10 is the final answer.
4) 15x + 1 = 26
Subtract 1 from each side.
15x = 25.
25/15 = 1.6...
x = 1.6...
5) 2x -4 + 3x = - 1
2x + 3x = 5x
5x - 4 = -1
Add 4 to each side
5x = 3
3/5 = 0.6
x = 0.6
6) x-2/3 = x+4/5
I don't remember the steps, but the answer is x = 11
7) Finding the relationship between x:4 and 5:20
20/5 = 4
x = 1
The smaller rectangle has a reduction of 5 times.
8) Mean is found by adding all the number, then dividing by the amount added.
18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171
171/8 = 21.375
Mean = 21.375
Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5
Median = 21.5
9) Circumference of a circle = 2(pi)(r)
Circumference = 30πin (thats the pi symbol)
If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.
10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y
5x + 2x = 7x
7x + 7y - 8y^2 - y
-y + 7y = 6y
Answer: -8y^2 + 7x + 6y
❗❗❗❗❗❗❗HELP❗❗❗❗❗❗❗
Select the table of values where the quadratic function changes direction at a different value of x than the others.
Imagine that this is a graph.
A.
x -3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22
B.
x -3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22
C.
x -3 -2 -1 0 1 2 3
y 4 3 4 7 12 19 28
D.
x -3 -2 -1 0 1 2 3
y 1 -1 1 7 17 31 49
Answer:
x -3 -2 -1 0 1 2 3
y 28 19 12 7 4 3 4
Step-by-step explanation:
The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).
Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:
x -3 -2 -1 0 1 2 3
y 28 19 12 7 4 3 4
we see that the turning point is at (2, 3) which represents a different x-value.
which equation could be used to create the graph?
Answers
A y=x -2
B y=x -4
C y= x/3
D y=3x
Answer:
C
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = [tex]\frac{3-0}{9-0}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex], thus
y = [tex]\frac{1}{3}[/tex] x
Or
y = [tex]\frac{x}{3}[/tex] → C
Answer:
C
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus
y = \frac{1}{3} x
Or
y = \frac{x}{3} → C
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1-sin60÷cos60=1-Tan30÷1+Tan30
Step-by-step explanation:
LHS=(1-sin60)/cos60
=(1-√3÷2)/1÷2
=2(1-√3÷2)
=2-√3
RHS=(1-tan30)/(1+tan30)
={1-(1÷√3)}/{1+(1÷√3)}
={(√3-1)/√3}/{(√3+1)/√3}
=(√3-1)/(√3+1)
={(√3-1)(√3-1)}/{(√3+1)(√3-1)}
=(3-√3-√3+1)/(3-1)
=(4-2√3)/2
=2-√3
Therefore LHS=RHS
Select all of the angles that have a positive measure
Answer: angle 2, 5, and 6
Step-by-step explanation:
edge 2023
In mathematics, angles have a positive measure when they are measured counterclockwise from the reference line or origin.
Explanation:In mathematics, angles can be measured in positive or negative degrees or radians. An angle is considered to have a positive measure if it is measured in the counterclockwise direction. Therefore, any angle that is measured counterclockwise from the reference line or origin is considered to have a positive measure.
For example, if we have a line segment and we measure an angle of 60 degrees counterclockwise from the positive x-axis, the angle has a positive measure. Similarly, if we measure an angle of 45 degrees counterclockwise from the positive y-axis, the angle also has a positive measure.
Find the measures of supplementary angles 1 and 2, if: angle on is 40º less than angle 2
Answer:
140°
Step-by-step explanation:
180° is a full degree, so if one is 40° less than two 180°-40° (don't quote me on this bc I'm not that good at math oops)
6. What word describes the equal
shares of the shape?
Answer:
bisection, trisection etc.
Step-by-step explanation:
It depends on how many parts a shape will be divided in. for example if a shape is divided in two equal parts, it will be called as halves or bisection or if a shape is divided in three equal shapes it will be known as trisection and so on.
On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4). Which explains why the graph is not a function? It is not a function because the points are not connected to each other. It is not a function because the points are not related by a single equation. It is not a function because there are two different x-values for a single y-value. It is not a function because there are two different y-values for a single x-value.
Answer:
Last option: It is not a function because there are two different y-values for a single x-value.
Step-by-step explanation:
It is necessary to remember that, by definition, a relation is a function if each input value (x-value) has one and only one output value (x-value) .
In this case, the following points:
[tex](-2, -5), (- 1, 3), (1, -2), (3, 0), (4,- 2), (4, 4)[/tex]
You can observe that the input value 4 ([tex]x=4[/tex]) has two ouput values. These are:
[tex]y=-2\\\\ y=4[/tex]
Therefore, since there are two different y-values for a single x-value, you can conclude that the given graph is not a function.
Answer:
t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.
Step-by-step explanation:
(This is the answer form the assignment if it helps)
Evaluate the expression below
4 - 2 2x2 + 3
Is my answer right
Answer:
3
Step-by-step explanation:
first mulitply 2×2 then add 3 it equals in total 7. then subtract 7-4 and your final answer is 3.
Shaunee won 79 tickets at Chuck e' Cheese's. She
kept 25 of them, and split the rest evenly between 3
friends. How many did each friend get?
Answer:
Step-by-step explanation:
From the problem statement, we can set up the following equation:
[tex]3N + S = 79[/tex]
where [tex]N[/tex] is the number of tickets each friend got, and [tex]S[/tex] is the number of tickets that Shaunee got. We know that Shaunee got 25, so we know [tex]S = 25[/tex] and can plug that into the equation:
[tex]3N + 25 = 79[/tex]
Subtracting 25 from each side gives us the following:
[tex]3N = 54[/tex]
Dividing both sides by 3 gives us the answer:
[tex]N = 18[/tex]
79 tickets minus 25 is 54
Shawnee has 54 tickets to split between her friends.
54 divided by 3 friends equals 18 tickets.
You can check the answer by multiplying: 18x3 equals 54.
Hence, her friends each got 18 tickets...
Which numbers are 3 units from −6 on this number line?
Drag and drop all of the numbers that are 3 units from −6 to their correct position on the number line.
-9 and -3 are both 3 units from -6 on the number line.
Answer: -9 and -3 are numbers which are 3 units from -6 on the number line.
Step-by-step explanation:
Since we have given that
3 units from -6 on the number line.
As we know that
there is right hand side and left hand side on the number line.
Left hand side is for negative numbers, and right hand side is for positive numbers.
So, the number which is 3 units from -6 on the left is given by
[tex]-6-3=-9\ units[/tex]
The number which is 3 units from -6 on the right is given by
[tex]-6+3=-3\ units[/tex]
Hence, -9 and -3 are numbers which are 3 units from -6 on the number line.
Mrs. Lyons is playing Jeopardy against Mr.Browen. Mr. Bowen incorrectly answers questions with 40 points five times in a row. What is his score so far?
Answer:
-40 x 5 = -200. his score is -200
]
How many numbers between 650 and 780 leave the remainders 4 and 6 when divided by 7 and 11, respectively?
There are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.
To find the numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11, we can analyze the problem systematically.
For a number to leave a remainder of 4 when divided by 7, it must be of the form [tex]\(7k + 4\)[/tex].
Similarly, for a number to leave a remainder of 6 when divided by 11, it must be of the form [tex]\(11m + 6\).[/tex]
We need to find the intersection of these two sets of numbers between 650 and 780.
Let's start by finding the smallest number of the form \(7k + 4\) greater than or equal to 650:
[tex]\[7k + 4 \geq 650\][/tex]
[tex]\[7k \geq 646\][/tex]
[tex]\[k \geq \frac{646}{7} \approx 92.2857\][/tex]
Since [tex]\(k\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(92.2857\)[/tex] is 93.
So, the smallest number of the form [tex]\(7k + 4\)[/tex] greater than or equal to 650 is [tex]\(7 \times 93 + 4 = 655\).[/tex]
Now, let's find the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780:
[tex]\[7k + 4 \leq 780\][/tex]
[tex]\[7k \leq 776\][/tex]
[tex]\[k \leq \frac{776}{7} \approx 110.857\][/tex]
Again, since [tex]\(k\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(110.857\)[/tex] is 110.
So, the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780 is [tex]\(7 \times 110 + 4 = 774\).[/tex]
Next, let's find the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650:
[tex]\[11m + 6 \geq 650\][/tex]
[tex]\[11m \geq 644\][/tex]
[tex]\[m \geq \frac{644}{11} \approx 58.5455\][/tex]
Since [tex]\(m\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(58.5455\)[/tex] is 59.
So, the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650 is[tex]\(11 \times 59 + 6 = 655\).[/tex]
Finally, let's find the largest number of the form[tex]\(11m + 6\)[/tex]less than or equal to 780:
[tex]\[11m + 6 \leq 780\][/tex]
[tex]\[11m \leq 774\][/tex]
[tex]\[m \leq \frac{774}{11} \approx 70.3636\][/tex]
Since [tex]\(m\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(70.3636\)[/tex] is 70.
So, the largest number of the form [tex]\(11m + 6\)[/tex] less than or equal to 780 is [tex]\(11 \times 70 + 6 = 776\).[/tex]
Now, we need to find the intersection of the sets of numbers [tex]\([655, 774]\) and \([655, 776]\).[/tex]
This can be done by finding the range of overlap between these two sets.
The range of overlap is [tex]\([655, 774]\),[/tex] which contains 774 - 655 + 1 = 120 numbers.
So, there are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.
What is the solution to 4x−1=7 ? Plot the solution on the number line.
Answer: x is 2
Step-by-step explanation:
Add the 1 to 7 and get 8 then 4x=8 then divide 4 into 8 and x=2 to plot it on the line just go to 2 I’m guessing
Answer:
x=2
Step-by-step explanation:
which of these sets of angle measures could be three angles in a triangle
A) 40° , 50°, 60°
B) 50°, 60°,70°
C) 60°, 70°, 80°
D) 70°, 80°,90°
The measure of angles in a triangle are 50°, 60° and 70°.
Option B is true.
What is Triangle?
A triangle is a three sided polygon, which has three vertices and with three angles.
Since, The sum of all three angle in a triangle will be 180 degree.
Now, For option A;
The angles are 40° , 50°, 60°.
Sum of angles = 40° + 50° + 60°
= 150°
Hence, These set are not possible.
For option B;
The angles are 50° , 60°, 70°.
Sum of angles = 50° + 60° + 70°
= 180°
Hence, These set are possible.
So, The measure of angles in a triangle are 50°, 60° and 70°.
Option B is true.
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What is 5/1 • 7 3/6 and 3 1/3 • 2 2/4 simplify?
Answer:
The first one is 35 5/6. The second is 8 1/3
Step-by-step explanation:
5/1 * 7 3/6
= 5/1 * 45/6
=215/6
= 35 5/6
3 1/3 * 2 2/4
= 10/3 * 10/4
= 100/12
= 8 1/3
is
[tex] \frac{3}{6} [/tex]
a rational number?
Hey!
-----------------------------------------
Answer: Yes 3/6 is rational!
-----------------------------------------
Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.
-----------------------------------------
Hope This Helped! Good Luck!
How can u solve for x when there is a y in the like y=4x+8x
Answer:
x = [tex]\frac{1}{12}[/tex] y
Step-by-step explanation:
Given
y = 4x + 8x, that is
y = 12x ( divide both sides by 12 )
[tex]\frac{y}{12}[/tex] = x, or
x = [tex]\frac{1}{12}[/tex] y
Evaluate the expression when a=6 and y=7-a+5y
Answer:
29
Step-by-step explanation:
Substitute a = 6 and y = 7 into the expression
- a + 5y = - 6 + (5 × 7) = - 6 + 35 = 29
Write the equation of the sequence in the form y = mx + b:
0.5, 2.5, 4.5, ...
Answer:
y= 2x + 0.5
Step-by-step explanation:
Which describes Myra’s distance as time increases
Answer:
mathw ay .com
Step-by-step explanation:
Question:
The table shows the total distance that Myra runs over different time periods.
Which describes Myra’s distance as time increases?
Answer:
A.) Increasing.
Ripley told his mom that multiplying whole numbers by multiples of 10 was easy because you just count zeros in the factors and put them in the product. He used these two examples to explain his strategy.
7,000 × 600 = 4,200,000
(3 zeros) (2 zeros) (5 zeros)
800 × 700 = 560,000
(2 zeros) (2 zeros) (4 zeros)
Ripley’s mom said his strategy will not always work. Why not? Give an example.
Answer:
She is right, it won´t always work.
Step-by-step explanation:
Hi, in the examples this tactic works because the first numbers, when multiplied, don´t equal 10 (7x6=42 and 8x7=56). If you multiply both numbers and give you 10, you will have to add another zero to the final number and the trick would crash.
Example:
200 x 500 = 100,000
(2 Zeros) (2 zeros) (5 zeros)
Best of luck.
The discount on a new copier was $220. This was a discount of 14%
The volume of a sphere is 3,052.08 units cubed. What is its diameter?
18 units
20 units
31 units
47 units
HELP needed!!
Completely the steps to find the value of x in the angle?
8x + 6 = m<4
m<4 = 180 - 118 = 62
8x + 6 = 62
8x = 56
x = 7
Based on the graph, what is the initial value of the linear relationship?
(A) −2
(B) 0
(C) 2/3
(D) 3
Check the picture below.
The sum of three numbers is 95. The first number is 5 more than the third. The second number is 4 times the third. What are the numbers?
Answer:
20, 60, 15
Step-by-step explanation:
Let the third number be n, then
The first number is n + 5 and the second number is 4n
Sum the 3 numbers and equate to 95, that is
n + 5 + 4n + n = 95 ← collect like terms on left side
6n + 5 = 95 ( subtract 5 from both sides )
6n = 90 ( divide both sides by 6 )
n = 15
Thus
The first number is 15 + 5 = 20
The second number is 4 × 15 = 60
The third number is 15
The sum of a number and its additive inverse is equal to ?
Answer:
Zero
Step-by-step explanation:
To find the additive inverse, you merely change the sign of the number
For Example 5 {5 is the number} + (-5) {-5 is the additive inverse} = 0.
i.e. 6 + (-6) = 0
i.e (-7) + 7 = 0
Select the action you would use to solve x-3= 12. Then select the property that justifies that action.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3,
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
Answer:
a
Step-by-step explanation:
you would add three to both sides because you are subtracting on the left side, so you would use inverse operations
Answer:
A &d
Step-by-step explanation:
A pex
(8x-11)-(15-x)=1 dont know where to start with it
Answer:
x = 3
Step-by-step explanation:
First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of (15-x), there's negative sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.
Answer: x=3
Step-by-step explanation:Step 1: Simplify both sides of the equation.
(8x-11)-(15-x)=1
(8x-11)+-1(15-x)=1 (distribute the negative sign)
8x+-11+-15+x=1
8x+x+(-15+-11)=1 (combine like terms)
9x+-26=1
Step 2: Add 26 to both sides
9x-26+26=1+26
9x=27
Step 3: Divide both sides by 9.
9x/9=27/9
x=3