Answer:
a) -8, -6, -1, 5,8
Step-by-step explanation:
*View the image attached*
As you can see, the further left on the number line, the smaller the number becomes. The further right on the number line, the bigger the number becomes.Hope this helps!
Is 2 × 12 positive or negative?
Positive,
because 2*12 equals to 24, and 24 is positive!
HELP THIS IS URGENT NEED TODAY!!!!!!!!!!!!!
Marvin earns $7.75 per hour at his summer job. He wants to buy a video game system that costs $193.75.
Enter an equation to model the relationship between the number of hours worked h and the amount earned e.
Answer:
If he earns (e) $7.75 per hour, this implies e = 7.75h.
Step-by-step explanation:
If you wanted to solve that-
e = 7.75h
193.75 = 7.75h
Divide both sides by 7.25
h = 25
Which function represents a parabola that is translated 2 units to the left and 6 units down from the parent function, f(x)=x^2
Translation involves moving a function along its coordinates
The image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]
How to determine the new functionThe parent function is given as:
[tex]f(x) = x^2[/tex]
When the function is translated 2 units left, we have:
[tex]f'(x) = (x + 2)^2[/tex]
When the function is translated 6 units down, we have:
[tex]f"(x) = (x + 2)^2 - 6[/tex]
Rewrite as:
[tex]g(x) = (x + 2)^2 - 6[/tex]
Hence, the image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]
Read more about translation at:
https://brainly.com/question/11468584
Stephen rolls a fair dice 78 times.
How many times would Stephen expect to roll an odd number?
Answer:
Step-by-step explanation:
1 3 5 are all odd numbers.
There are 6 numbers all together on a die. 1 2 3 4 5 6
That means that 3/6 times, he should roll an odd number
3/6 * 78 = 39
He should get 39 rolls which are an odd number.
Huilan is 8 years older than Thomas. The sum of their ages is 70. What is Thomas's age?
Answer:
T = 31
Step-by-step explanation:
(T + 8) + T = 70
subtract 8 from both sides
T+T = 62
Rewrite
2T = 62
divide both sides by 2
T = 31
What is 1 2/3 divided by 1 5/6
Answer:
10/11
Step-by-step explanation:
Please answer the question in the picture
Answer:
Option A
Step-by-step explanation:
Both fractions have common denominators (x - 4). So, we can add the numerators.
[tex]\dfrac{x-9}{x-4}+\dfrac{x^{2}-x+5}{x-4}=\dfrac{x-9 +x^{2}-x +5}{x-4}\\\\\\=\dfrac{x -x +x^{2}-9+5}{x-4}\\\\\\=\dfrac{x^{2}-4}{x-4}[/tex]
Problem 0: Compute the inverse Laplace Transforms of:
[tex]F(s) = \frac{s + 1}{s(s - 1)(s - 3)} [/tex]
[tex]F(s) = \frac{1}{(s - 1)(s - 2)(s - 3)} [/tex]
Decompose each given F(s) into partial fractions.
[tex]F(s) = \dfrac{s+1}{s(s-1)(s-3)}[/tex]
has partial fraction decomposition
[tex]\dfrac{s+1}{s(s-1)(s-3)} = \dfrac as + \dfrac b{s-1} + \dfrac c{s-3}[/tex]
Combine the rational terms on the right and solve for the coefficients:
[tex]\dfrac{s+1}{s(s-1)(s-3)} = \dfrac{a(s-1)(s-3) + b s(s-3) + c s(s-1)}{s (s-1) (s-3)}[/tex]
[tex]1 = a(s-1)(s-3) + bs(s-3) + c s(s-1)[/tex]
[tex]1 = 3 a + (-4 a - 3 b - c) s + (a + b + c) s^2[/tex]
[tex]\begin{cases}3a=1 \\ -4a-3b-c = 0 \\ a+b+c=0 \end{cases} \implies a=\dfrac13, b=-\dfrac12, c=\dfrac16[/tex]
Then
[tex]F(s) = \dfrac13 \times \dfrac1s - \dfrac12 \times \dfrac1{s-1} + \dfrac16 \times \dfrac1{s-3}[/tex]
Using the frequency-shifting property, the inverse transform is
[tex]\boxed{f(t) = \dfrac13 - \dfrac{e^t}2 + \dfrac{e^{3t}}6}[/tex]
The other transform can be dealt with in the same manner.
[tex]F(s) = \dfrac1{(s-1)(s-2)(s-3)} = \dfrac a{s-1} + \dfrac b{s-2} + \dfrac c{s-3}[/tex]
[tex]\implies 1 = a(s-2)(s-3) + b(s-1)(s-3) + c(s-1)(s-2)[/tex]
[tex]\implies 1 = 6 a + 3 b + 2 c + (-5 a - 4 b - 3 c) s + (a + b + c) s^2[/tex]
[tex]\implies \begin{cases}6 a + 3 b + 2 c=1 \\ -5a-4b-3c = 0 \\ a+b+c=0\end{cases} \implies a=\dfrac12, b=-1, c=\dfrac12[/tex]
[tex]\implies F(s) = \dfrac12 \times \dfrac1{s-1} - \dfrac1{s-2} + \dfrac12 \times \dfrac1{s-3}[/tex]
[tex]\implies \boxed{f(t) = \dfrac{e^t}2 - e^{2t} + \dfrac{e^{3t}}2}[/tex]
$7.00 dollars saved, Ernie said he had 1 1/2 times as much money saved. How much money does Ernie have saved?
Answer:
Ernie has $10.50 saved.
Step-by-step explanation:
1.5 x $7 = 10.5
OR
(1 x $7) + (0.5 x $7) = $7 + $3.50 = $10.50
Hope this helps!
Write an linear equation. Explain it in numbers please !! 20 points!!
Answer:
The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.
What is the area of a rectangle with a length of 214 inches and a width of 234 inches?
714 in²
6316 in²
4316 in²
3332 in²
Given :
The length of a rectangle is 214 inches and the width is 234 inches.⠀
To Find :
The area of the rectangle.⠀
Solution :
We know that,
[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]
⠀
Now substituting the values :
[tex]\qquad {\dashrightarrow{ \sf{214 \: in\times 234 \: in = Area_{(rectangle)}}}}\:[/tex]
[tex]\qquad {\dashrightarrow \: { { \sf{50,076 \: {in}^{2} = Area_{(rectangle)}}}}\:}
[/tex]
⠀
Hence, The area of the rectangle is 50,076 in² .
The area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.
How to find the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle.
The rectangle given in the problem has,
A length of 2 1/4 inches. A width of 2 3/4 inches.Thus, the area of the rectangle is,
[tex]A=2\dfrac{1}{4}\times2\dfrac{3}{4}\\A=\dfrac{8+1}{4}\times\dfrac{8+3}{4}\\A=\dfrac{9}{4}\times\dfrac{11}{4}\\A=\dfrac{99}{16}\\\A=\dfrac{96+3}{16}\\A=6\dfrac{3}{16}[/tex]
Thus, the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.
Learn more about the area of rectangle here;
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hexadecimal numbers to decimal (base-10) numbers. 51) 4D 53.) BC2
In hexadecimal/base-16, we have B₁₆ = 11, C₁₆ = 12, and D₁₆ = 13, so
4D₁₆ = 4 × 16¹ + 13 × 16⁰ = 77
and
BC2₁₆ = 11 × 16² + 12 × 16¹ + 2 × 16⁰ = 3010
HELPPPP IF YOU CAN pls?
Answer:
i'm not sure but here's some encouragement- YOU CAN DO IT
Step-by-step explanation:
Y'all I don't understand this
Answer:
Step-by-step explanation:
x-axis and y-axis meet at (0, 0), that is the origin
Triangle ABC is isosceles. It is reflected across the y- axis and then translated up 1 unit to form triangle ABC.
Answer:
Step-by-step explanation:
Answered here: https://brainly.com/question/26774005
what is the measure of angle m?
Answer:
The answer is 55.
m=55
Step-by-step explanation:
we know that a straight line is 180
We know that m+125 is a straight line.
This means that we will subtract 125 from 180
When you do that, you get 55.
We can check our answer by doing 125+55
That will get you 180.
re-arrange the formula to solve for h :
A=bh
2
Answer:
h = b - a
Step-by-step explanation:
Answer:
A/b = h
Step-by-step explanation:
A=bh
1) divide both sides by b
A/b = h
Hugh and his brothers are on a road trip. His brother makes a table comparing how long they have traveled in hours ( x ) with the number of miles they have traveled ( y ). Which equation can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven?
The required equation that can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven is y = 65x
Equation of a graph and tableGiven the following variables
Time taken to travel is x
Mils traveled is y
Using the coordinate points (2, 130) and (4, 260)
The standard linear equation is y = mx + b
slope m = 260-130/4-2
m = 130/2
m = 65
For the intercept
130 = 65(2) + b
b = 0
The required equation that can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven is y = 65x
Learn more on linear functions here; https://brainly.com/question/14323743
What is the range?
5 2 4 6 0 0
Answer:
You find the range by subtracting the smallest value from the highest in the set. So in this case, it would be 5-0=0
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
Complete each statement using <, >, or =. Use your number line to explain your reasoning
Answer:
<
Step-by-step explanation:
Three students, Carson, Andrew, and London, line up one behind the other. How
many different ways can they stand in line?
A line crosses the y-axis at (0,55). What is the y-intercept of this line?
Answer:
[tex]\huge\boxed{\sf{b=55\:(b=y-intercept\:;)}}[/tex]
Step-by-step explanation:
Hello.
The y-intercept of a line is a point where the graph touches the y-axis.
Y-intercepts always have an x-coordinate of 0.
Now, what is the y-intercept?
If we have a point (0, b) then b is the y-intercept.
This is just a formula, so don't think that the y-intercept is b, okay?
The y-intercept is b, but only in formulae. :)
Using the formula, we can deduce that
the y-intercept is 55.
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
50 POINTS // This graph represents a proportional relationship.
What is the constant of proportionality for this relationship?
•1/3
•1/2
•2
•I don't know
We need slope
(3,1)(6,2)[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\Rrightarrow m=\dfrac{2-1}{6-3}[/tex]
[tex]\\ \rm\Rrightarrow m=\dfrac{1}{3}[/tex]
This can be solved using two methods:
Method #1:
Rise/Run = Slope=> 1/3 = SlopeThe slope is 1/3.
Method #2:
y₂ - y₁/x₂ - x₁ = Slope=> 2 - 1/6 - 3 = Slope=> 1/3 = SlopeThe slope is 1/3.
Looking at the two methods, we can conclude that:
The slope of the line is 1/3.
Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andres
notebooks contain?
Find the solution
Answer:
300
Step-by-step explanation:
60 * 5 = 300
HELP ME OUT PLS!!!!
When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is equal to the area of the largest square. Which three squares are an example of this relationship?
PLEASE HELP!!!!!!!!!!!!!!!!
Answer:
The answer is B 80.00 hope this helps
have a nice day
Step-by-step explanation:
Select proportional or not proportional to correctly classify the pair of ratios 1.8/7.2 and 0.4/1.6
Answer: proportional
Step-by-step explanation: just took the quiz
A line crosses the y-axis at (0,55). What is the y-intercept of this line?
Answer:The y intercept would be 55.
Step-by-step explanation:Wherever the y-axis is touched at with the x-value at 0 (in this case, its 55) that would be the y-intercept.
Answer:
[tex]\huge\boxed{\sf{55}}[/tex]
Step-by-step explanation:
Hello.
In order to determine the y-intercept, just look at the y-coordinate (If we have a point like (0, b)
b --> y-intercept
Therefore, b (the y-intercept) is equal to 55.
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Let f(x)=cos(x)x^-2
F’(x)=
[tex]f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}[/tex]
What is the range of U.S. property tax rates?