two times a number less 4 is greater than the same number plus 6. for what number or numbers is true?
Answer:
n > 10 meaning, n is greater than 10
Step-by-step explanation:
Two times a number : 2n
Less 4 : -4
2n-4
Greater than the same number : >n
Plus 6 : +6
> n+6
2n-4 > n+6
To find n, we have to get n alone and equal to a single number. To do this, we first subtract 6 from both sides.
2n-10 > n
Then, subtract 2n from both sides
-10 > -n
Now, divide by -1
10 < n
So, n is greater than 10
Sara makes $12 an hour working at the mall. Shae, her sister, just received
$100 for her birthday. Together they are saving to buy a $424 TV. How
many more hours does Sara need to work until that can purchase the TV?
And Show your work please
Answer:
x=27
Step-by-step explanation:
let x be the amount of hours she needs to work
she gets 12 dollars per hour, and they already have 100
12x+100=424
12x=324
x=324/12
x=27
Answer:
X=27
Step-by-step explanation:
I took the top number, 27 and I multiplied it by 12 and I got 324 and since Shae, her sister, has $100 and $324+$100=$400, she has to work 27 more hours.
If you need to like show equations then just take the 2 equations I did.
Could I please have BRAINLIEST?Calculate Laplace transform of the below: 0,5 < 0 The Impulse Response: u(t) = 300,t = 0 0,t> 0 - The unit step function: u(t) = 1,t > 0 - The unit ramp function (slope=1): r(t) = t, t > 0 The exponential function: f(t) = e-atu(t),t 20 # Cosine function: f(t) = cos(wt)u(t),t>=0.
1) The Laplace transform of a function f(t) is ∫[0 to ∞] e^(-st) * f(t) dt
2) Impulse Response = 1/s
3) Unit Step Function = 1/s
4) Unit Ramp Function = 1/s^2
5) The exponential function= 1/(s + a)
6) Cosine function = -s / (s^2 + w^2),
1) The Laplace transform of a function f(t) is defined as:
F(s) = L{f(t)} = ∫[0 to ∞] e^(-st) * f(t) dt,
where s is the complex frequency parameter.
2) Impulse Response:
The impulse response u(t) can be represented as a unit step function. Therefore, the Laplace transform of the impulse response is:
L{u(t)} = ∫[0 to ∞] e^(-st) * u(t) dt
= ∫[0 to ∞] e^(-st) * 1 dt
= ∫[0 to ∞] e^(-st) dt
= [-1/s * e^(-st)] [0 to ∞]
= -1/s * (e^(-s * ∞) - e^(-s * 0))
= -1/s * (0 - 1)
= 1/s,
where s > 0.
3) Unit Step Function:
The unit step function u(t) can be directly transformed using the definition of the Laplace transform:
L{u(t)} = ∫[0 to ∞] e^(-st) * u(t) dt
= ∫[0 to ∞] e^(-st) * 1 dt
= ∫[0 to ∞] e^(-st) dt
= [-1/s * e^(-st)] [0 to ∞]
= -1/s * (e^(-s * ∞) - e^(-s * 0))
= -1/s * (0 - 1)
= 1/s,
where s > 0.
4) Unit Ramp Function:
The unit ramp function r(t) = t can be transformed as follows:
L{r(t)} = ∫[0 to ∞] e^(-st) * r(t) dt
= ∫[0 to ∞] e^(-st) * t dt
= ∫[0 to ∞] t * e^(-st) dt.
To calculate this integral, we can use integration by parts. Let's assume u = t and dv = e^(-st) dt. Then, du = dt and v = (-1/s) * e^(-st). Applying integration by parts, we have:
∫[0 to ∞] t * e^(-st) dt = [-t * (1/s) * e^(-st)] [0 to ∞] - ∫[0 to ∞] (-1/s) * e^(-st) dt
= [(-t/s) * e^(-st)] [0 to ∞] + (1/s) * ∫[0 to ∞] e^(-st) dt
= [(-t/s) * e^(-st)] [0 to ∞] + (1/s) * (1/s),
where s > 0.
Since the term (-t/s) * e^(-st) approaches zero as t approaches infinity, the first part of the integral becomes zero. Therefore, we are left with:
L{r(t)} = (1/s) * (1/s)
= 1/s^2,
where s > 0.
5) Exponential Function:
The exponential function f(t) = e^(-at) * u(t) can be transformed as follows:
L{e^(-at) * u(t)} = ∫[0 to ∞] e^(-st) * e^(-at) * u(t) dt
= ∫[0 to ∞] e^(-st - at) dt
= ∫[0 to ∞] e^(-(s + a)t) dt
= [-1/(s + a) * e^(-(s + a)t)] [0 to ∞]
= -1/(s + a) * (e^(-(s + a) * ∞) - e^(-(s + a) * 0))
= -1/(s + a) * (0 - 1)
= 1/(s + a),
where s + a > 0.
6) Cosine Function:
The cosine function f(t) = cos(wt) * u(t) can be transformed as follows:
L{cos(wt) * u(t)} = ∫[0 to ∞] e^(-st) * cos(wt) * u(t) dt
= ∫[0 to ∞] e^(-st) * cos(wt) dt.
To evaluate this integral, we can use the Laplace transform of the cosine function, which is given by:
L{cos(wt)} = s / (s^2 + w^2), where s > 0.
Therefore, we have:
L{cos(wt) * u(t)} = ∫[0 to ∞] e^(-st) * (s / (s^2 + w^2)) dt
= (s / (s^2 + w^2)) * ∫[0 to ∞] e^(-st) dt
= (s / (s^2 + w^2)) * (-1/s * e^(-st)) [0 to ∞]
= (s / (s^2 + w^2)) * (0 - 1)
= -s / (s^2 + w^2),
where s > 0.
These are the Laplace transforms of the given functions.
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Find the value of each card and put them in order, from lowest to highest.
2-7+6
1 +4-6
4-8 +2
6-3-7
Answer:
Hope This Helps <3
Step-by-step explanation:
4-8 +2 = -11
6-3-7 = -4
1 +4-6 = -1
2-7+6 = 1
I have a bag of flour. After I used 2/9 of the total to bake cookies 560g flour remained. How many grams of flour did I have originally?
Help ASAP
i need help. what’s the answer to this .
Answer:
12
Step-by-step explanation:
I know bc i did this before
Answer:
72 unit cubes (72 units³)
Step-by-step explanation:
\(6\times3\times4=72\)
please help me and only answer if ur 100% sure
Answer:
CONSIDER THE POINTS (1,4) and (2,7)
\(m = \frac{y1 - y2}{x1 - x2} \\ \)
m=(7-4)/(2-1)
=3/1
m=3x
c=1
y=3x+1
the answer is option A
Answer:
y=3x+1
Step-by-step explanation:
here is your answer
Plz help me I’m stuck on this question!!!!!
Answer:
It's the one with only one line.
Step-by-step explanation: The cross and angle looking one both only have one solution and the parallel lines have no solutions.
At a charity fund-raiser, adult tickets were sold for $7 each and children's tickets were sold for $2 each. Write an algebraic expression for the total amount of
money raised from the sale of tickets. How much money was raised if the fundraiser fsold 246 adult tickets and 380 children's tickets?
Let a = the number of adult tickets and let c = the number of child tickets. Then, an algebraic expression for the total money raised from the sale of tickets is
Answer:
x is amount of money
c + a = 646
2c + 7a = x
2(380) + 7(246) = 2486
x = $2486
Evaluate the following expression
53 =
Hey there!
Assuming you meant:
5^3
IF SO, LETS SOLVE FOR IT!
5^3
= 5 * 5 * 5
= 25 * 5
= 25 + 25 + 25 + 25 + 25
= 50 + 50 + 25
= 100 + 25
= 125
Therefore, your answer is mostly likely:
125
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Let theta be an acute angle of a right triangle. Find the values of the other five trigonometric functions of theta.
The exact values of the remaining trigonometric functions are listed below:
Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4
Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11
Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3
Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2
How to find the exact values of trigonometric functions
In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:
sin θ = y / √(x² + y²)
cos θ = x / √(x² + y²)
tan θ = y / x
cot θ = x / y
sec θ = √(x² + y²) / x
csc θ = √(x² + y²) / y
Now we proceed to determine the exact values of the trigonometric functions:
Case 3: y = 4, √(x² + y²) = 5
x = √(5² - 4²)
x = 3
cos θ = 3 / 5
tan θ = 4 / 3
cot θ = 3 / 4
sec θ = 5 / 3
csc θ = 5 / 4
Case 4: x = 5, √(x² + y²) = 6
y = √(6² - 5²)
y = √11
sin θ = √11 / 6
tan θ = √11 / 5
cot θ = 5√11 / 5
sec θ = 6 / 5
csc θ = 6√11 / 11
Case 5: x = 8, √(x² + y²) = √73
y = √(73 - 8²)
y = 3
cos θ = 8√73 / 73
sin θ = 3√73 / 73
tan θ = 3 / 8
cot θ = 8 / 3
csc θ = √73 / 3
Case 6: x = √3, y = 1
sin θ = 1 / 2
cos θ = √3 / 2
tan θ = √3 / 3
sec θ = 2√3 / 3
csc θ = 2
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Death Valley National Park, in California and Nevada, is the site of the lowest elevation in the Western Hemisphere. Bad water Basin in the park is about 86 meters below sea level.
HELP NOW FOR MEGA POINTS
Which statement below about the graph of f(x)=-log(x+4)+2 is true?
1) f(x) has a y-intercept at (0,2)
2) −f(x) has a y-intercept at (0,2)
3) As x → ∞, f(x) → ∞.2)
4) x → −4, f(x) → ∞
SHOW WORK
Answer:
4 IS THE ANSWER MATE
Step-by-step explanation:
Absolutely, I can do that!
Let's take a look at each statement:
1) f(x) has a y-intercept at (0,2)
To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:
f(0) = -log(0+4) + 2
f(0) = -log(4) + 2
f(0) = -0.602 + 2
f(0) = 1.398
Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.
2) The function -f(x) has a y-intercept at (0,2)
Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.
3) As x approaches positive infinity, the function f(x) approaches negative infinity.
The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.
4) As x approaches -4 from the right, the function f(x) approaches negative infinity.
As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.
In summary, statements (1) and (2) are false, while statements (3) and (4) are true.
Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?
Answer:
64 miles
Step-by-step explanation:
if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.
A fishfinder is an instrument on a boat that indicates where fish are located. Are the fish closest to the surface of the water at -20 feet or -30 feet?
Answer:
-20 feet
Step-by-step explanation:
If the fish are closser to the suface it will be closer to 0 on the number line.
A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.
Given that,
A fish finder is an instrument on a boat that indicates where fish are located. The range of the fishfinder is to be specified.
Range, it is the set of the values that come out to an outcome for certain mathematical operations.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The range usual range of the fishfinder is standardly 0 to -20 on the number line of the instrument, where the negative sign indicates the depth.
Thus, A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.
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Use the formula Family Debt + (number of children x total cost of college) + (10 x annual income) =
amount of insurance
Xavier is considering buying life insurance. Xavier has three children and would like them to
attend State University for four years, where the annual tuition is $7,500 a year. Jonathon's
current total family debt is $250,000 and he has an annual income of $58,000 a year.
How much insurance should Jonathon purchase?
O $100,000
O $250,000
O $500,000
O $1,000,000
Amount for insurance is,
Amount of insurance = $8,52,500
We have to given that;
Xavier is considering buying life insurance. Xavier has three children and would like them to attend State University for four years, where the annual tuition is $7,500 a year.
And, Jonathon's current total family debt is $250,000 and he has an annual income of $58,000 a year.
Now, The formula is,
Amount of insurance = Family Debt + (number of children x total cost of college) + (10 x annual income)
Now, Substitute all the values, we get;
Hence, WE get;
Amount of insurance = Family Debt + (number of children x total cost of college) + (10 x annual income)
Amount of insurance = 250,000 + (3 x 7500) + (10 x 58,000)
Amount of insurance = 250,000 + 22,500 +580,000
Amount of insurance = $8,52,500
Thus, Amount for insurance is,
Amount of insurance = $8,52,500
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simplify the following expressions ( use distributed property )
if equation by parabola is given by, p(x) = x^2 -5x + 6 then its factors are:
A. (x-3)
B. (x-2)
C. Both (a) and (b)
D. None of the above
Answer:
x^2-2x-3+6=0
(x-2x)-(3x+6)=0
x(x-2)-3(x-2)=0
(x-3)(x-2)=0
x-3=0 or x-2=0
x=3or x=2
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. The sample size is large enough if each expected count is Select one:
a. 5 or higher
b. 25 or higher
c. 10 or higher
d. 15 or higher
e. 20 or higher
The correct answer to the given question about chi-square distribution and sampling distribution is a. 5 or higher.
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. Generally, a sample size of 5 or higher is considered large enough for this approximation. This is because the chi-square distribution approaches a normal distribution as the degrees of freedom increase, and a sample size of 5 or more provides enough degrees of freedom for the approximation to be valid. However, if any expected count is less than 5, then the approximation may not be reliable, and alternative methods should be considered (such as Fisher's exact test or the Monte Carlo method).
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Drag the labels into place in the figure for a market leaving, and then returning to, equilibrium as firms exit after a decrease in demand. original short-run supply* final short-run demand* original short-run demand* long-run supply* final short-run supply* Drag each item above to its appropriate location in the image. Note that every item may not have a match, while some items may have more than one match. Price P2 +--- Q3 Q2 Q2 Market quantity (Q)
The original short-run supply curve shifts left, causing the market price to decrease to P2 and the quantity to decrease to Q2.
As a result, some firms exit the market, causing the short-run supply to shift back to the right and the market to return to equilibrium at a lower quantity, Q3, and the same price, P2.
When demand decreases, the original short-run supply curve shifts leftward as firms reduce production to meet the lower demand. This causes the market price to decrease to P2 and the quantity to decrease to Q2.
At this lower price, some firms may exit the market if they are unable to cover their costs, causing the short-run supply curve to shift back to the right.
As a result, the market quantity decreases further to Q3, and the market returns to equilibrium at the same price, P2. In the long run, the supply curve may shift further to accommodate the lower demand, resulting in a new equilibrium price and quantity.
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Unit 11 radicals homework 4 multiplying radicals
In order to multiply radicals, the following are needed:
Make sure that the radicals have the same index. Multiply the numbers under the radical signs.Simplify the radical expressions. How to multiply radicals?It should be noted that the radical symbol represents the square root of a number and this can be found in algebra.
To multiply radicals, they have to have the same index. In this case, the index is the small number written on the uppermost line in the radical symbol.
Next, simply multiply the numbers under the radical signs and keep them there.
Lastly, if you've multiplied the radicals, they can be simplified to perfect squares.
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suppose a jar contains 15 red marbles and 37 blue marbles. if you reach in the jar and pull out 2 marbles at random, find the probability that both are red. write your answer in decimal form, rounded to the nearest thousandth. answer:
The probability that both are red is 0.0791.
Given,
Total marbles: 37 + 15 = 52
According to the number of red cards out of all the cards, there is a 15/52 possibility that a red card will be pulled during our initial pull.
Depending on how many red/total marbles are still in there, there is a 14/51 probability that the second marble pulled will also be red.
Our two fractions are multiplied together from here,
15/52 * 14/51
We can start by simplifying a little bit; the numbers 14 and 52 share a 2;
15/26 * 7/51
Our result is 35/442
Depending on whether you choose to maintain it in fractional, ratio, or percentage form, the result of dividing is around 0.0791, which rounds to 7.91%.
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Mr. Smith has 22 percent of his 176 total acres of corn planted. How many 5 po
acres of corn are yet to be planted? *
approximately 27.46 plots of 5-po acre can be planted yet.
Given, Mr. Smith has 22% of his 176 total acres of corn planted.Hence, the area planted = 22% of 176 acres= 22/100 × 176= 38.72 acresLet the area of corn yet to be planted = x acresNow, the total area of corn = 176 acresThe total area of corn can be expressed as:Total area = Planted area + Area yet to be plantedHence,176 = 38.72 + xWe need to solve for the value of x.Hence, we can getx = 176 − 38.72= 137.28 acresWe need to find the number of 5-po acre plots that can be planted. Hence,Number of 5-po acre plots = (Area yet to be planted) / (Area of 5-po acre plot)= x / 5Therefore,Number of 5-po acre plots = 137.28 / 5= 27.456.
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There are approximately 27.46 (rounded to 2 decimal places) 5 acres of corn yet to be planted.
Given that Mr. Smith has 22 percent of his 176 total acres of corn planted.
We are to determine how many 5 acres of corn are yet to be planted.
Mathematically, the percent of something is equivalent to the ratio of that amount to the total amount.
Using this concept, we can solve for the total acres of corn planted by Mr. Smith.
22% of 176
= (22/100) × 176
= 38.72 acres
Now we can find the number of acres yet to be planted.
Number of acres yet to be planted
= Total acres - Acres planted
= 176 - 38.72= 137.28 acres
Since we need to determine the number of 5 acres of corn yet to be planted, we will divide the number of acres yet to be planted by 5 acres.
(137.28 acres/5 acres)
≈ 27.46 (approximated to 2 decimal places)
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marianne sells candles out of her home. last week, she collected $376 in sales tax, If the tax rate in her country is 5.75%, what was Marianne's total candle sales for the week, rounded to the nearest cent?
Marianne's total candle sales for the week rounded to the nearest
cent is $6539.13.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the given information, Let Marianne's total sale be $'x'.
Therefore, $376 is 5.75% of 'x'. which can be numerically expressed as,
(5.75/100)×x = 376.
0.0575x = 376.
x = $6539.13
We also know to obtain percentage change we'll diving the net amount change by the original amount and multiply it by 100%.
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14. Salena says 38 ÷ 5 = 7. How do you respond to Salena? Explain
how to use patterns with multiplication and division facts to explain
your thinking.
Answer:
Salena is incorrect. I would advise her to try reversing the question to check her work. Please see below to check it.
Step-by-step explanation:
38 ÷ 5 = 7
Try reversing to check.
7*5=35
38 divided by 5 does not equal to 7.
Hope this helps!
Please mark as brainliest if correct!
BRAINLIEST to whoever gets it right
Ryan estimated that the crystal rock weighed 4.5 pounds. He placed it in a scale and it weighed exactly 4.65 pounds. What's the percent of error?
well, the pounds differnce is simply 4.65 - 4.5 = 0.15.
now, if we take 4.5 as the 100%, what's 0.15 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 4.5 & 100\\ 0.15& x \end{array} \implies \cfrac{4.5}{0.15}~~=~~\cfrac{100}{x} \\\\ 4.5x=15\implies x=\cfrac{15}{4.5}\implies x=\cfrac{10}{3}\implies x=3\frac{1}{3}\)
for how many tickets is the cost the same for club members and non-members?
Answer:
The cost will be the same for 2 club members as for 1 non-member.
Step-by-step explanation:
There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.
However, if two club members purchase tickets, their cost is 2($3) = $6.
If one non-member purchases a ticket, the cost is 1($6) = $6.
Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
Select all equations that are true