3x^2-5x-1 from 8x^2+2x-9
The initial population of a town is 2600, and he grows with the doubling time of 10 years. What will the population be in 12 years?
Nine coins are placed in a 3x3 matrix with some face up and some face down. you can represent the state of the coins using a 3x3 matrix with values 0 (heads) and 1 (tails). here are some examples: 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 each state can also be represented using a binary number. for example, the preceding matrices correspond to the numbers: 000010000 101001100 110100001 there are a total of 512 possibilities, so you can use decimal numbers 0, 1, 2, 3,...,511 to represent all the states of the matrix. write a program that prompts the user to enter a number between 0 and 511 and displays the corresponding matrix with the characters h and t.
Solve for x. 4−(2x+4)=5 x=32 x=−52 x=−10 x=6
please help
The solution to the equation 4−(2x+4)=5 is x = -2.5. None of the provided suggestions x = 32, x = -52, x = -10, x = 6 are correct.
Explanation:To solve for x in the equation 4−(2x+4)=5, you first simplify the expression in the parentheses, which creates the equation 4 - 2x - 4 = 5. This simplifies to -2x = 5. You then divide each side by -2 which results in x = -5/2 or x = -2.5. So the solution to this equation is not any of the provided x = 32, x = -52, x = -10, x = 6 but rather x = -2.5.
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A copy machine makes
105
copies in
3
minutes and
45
seconds. How many copies does it make per minute?
The entrance fee for an exhibition is $6 for an adult and $4 for a child. $700 was collected from the sale of tickets. There were 5 more adults than children. How many adults were there?
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site.Write and solve an equation to determine how many total hours you have to work
Write 125.06 million 4 different ways.
Answer:
125.0600 million
[tex]\frac{6253}{50} million[/tex]
125,060,000
125 million 60 thousand
Step-by-step explanation:
It does not matter how many zeroes we add to the right end after the decimal, it does not change the value of the number.
Thus, 125.06, 125.060, 125.0600,.... all have the same values.
Similarly 125.06 can be change into the rational form
Thus, [tex]125.06=\frac{6253}{50} =\frac{12506}{100} \text{all have same values}[/tex]
We can also write the word "million" into the digits.
Thus, 125.06 million = 125,060,000 = 125 million 60 thousand
Select the answer for this number showing three significant figures. Remember to round. 566 (1)600 (2)570 (3)566(4) 500
We have to round 566, such that , it has three significant figures.
→ Option 1
600=It has only one Significant figure.Zeroes which lie on right side of digit ,if there is no decimal after zeroes are not significant.
→ Option 2
570=Two Significant figure.
→ Option 3
566=Three Significant figure.
→ Option 4
500=One Significant figure.
⇒Option 3 ,which is equal to 566, is most appropriate ,among given Options, that is when this number is rounded , it has three significant figures.
DVD cases are sold in packages of 20 padded mailing envelopes or so in packets of 12 what is the least number of cases and envelopes you could buy so that there is one case for each envelope with none left over
What is 121.6 in word form
find the equation of the circle where (-9,4),(-2,5),(-8,-3),(-1,-2) are the vertices of an inscribed square.
The equation of the circle where the vertices of an inscribed square are (-9,4),(-2,5),(-8,-3),(-1,-2) is (x+5)² + (y-1)² = 25. This is found by getting the average x and y coordinates to find the center of the circle, calculating the radius, and applying it to the standard equation of a circle.
Explanation:To find the equation of the circle where the vertices of an inscribed square are located at (-9,4),(-2,5),(-8,-3),(-1,-2), first, you need to find the center of the circle. In the case of a square inscribed in a circle, the center of the square is the same as the center of the circle. This can be found by averaging the x and y coordinates of the vertices of the square.
The average x-coordinate = [(-9) + (-2) + (-8) + (-1)] / 4 = -5
The average y-coordinate = [4 + 5 - 3 - 2] / 4 = 1
So, the center of the circle is at (-5, 1).
Next, you need to calculate the radius of the circle. The radius in an inscribed square is the half of the square's diagonal. Calculate the distance between two opposite vertices of the square - for example (-9,4) and (-1,-2). Apply the distance formula: √[(-1 - (-9))^2 + (-2 - 4)^2 ]. That's √[64 + 36], giving a distance of √100 = 10. As this is the diagonal of the square, the radius would be half of this, giving us a radius of 5.
Finally, the equation of the circle in its standard form (x-h)² + (y-k)² = r² can be written as (x+5)² + (y-1)² = 5².
Thus, the equation of the circle is (x+5)² + (y-1)² = 25.
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Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
0.5 feet
1.5 feet
3 feet
6 feet
any help is appreciated offering 15 points ;)
What is the relationship between the measure of angle and the reflex measure of the angle
Angles are measured in degrees and their reflex measures can be obtained by adding 180 degrees to their measures.
In mathematics, an angle is a measure of the amount of turn between two lines or rays that share a common endpoint. The measure of an angle is given in degrees, and it represents the amount of rotation needed to move from one ray to the other.
The reflex measure of an angle is the sum of the angle's measure and 180 degrees. It represents the amount of rotation needed to move from one ray to the other while going in the opposite direction. For example, if an angle has a measure of 30 degrees, its reflex measure would be 30 degrees + 180 degrees = 210 degrees.
So, the relationship between the measure of an angle and its reflex measure is that the reflex measure is obtained by adding 180 degrees to the measure of the angle.
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−20≤10n i need a solution.
The price of a dozen roses in the united states is about $30. if $0.559 u.s. dollars can purchase 1.00 turkish lira, how much does the same dozen roses cost in turkey, if purchasing power parity holds?
Answer:
16.77
Step-by-step explanation:
MA BRAIN
Express 192 as a prime factors in order
What's the answer to 2z-31=-9z+24
sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
The value of sin (α - β), where sin α = 21/29 and α is in the 2nd quadrant, and cos β = 15/17 and β is in the 1st quadrant, is calculated to be 379/493.
Explanation:In trigonometry, the formula for sin (α - β) is defined as sin α cos β - cos α sin β. Given the problem, we know sin α is 21/29 and cos β is 15/17.
However, we need to determine cos α and sin β. In these cases, we use the identity sin² α + cos² α = 1, and its counterpart for β. For α being in the second quadrant, cos α would be negative. Therefore, cos α = -√(1 - (21/29)²), which simplifies to -8/29. Similarly, for β in the first quadrant (where sin β is positive), sin β = √(1 - (15/17)²), which simplifies to 8/17.
Substitute these values into the formula for sin (α - β), we have sin (α - β) = (21/29 * 15/17) - (-8/29 * 8/17) = 315/493 + 64/493 = 379/493.
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Which product is negative
1st one -*- =+,+*- = -,-*- = +
2nd one = 0
3rd one-*-=+,+*+=+,+*+=+
4th one +*-=-,-*-=+,+*- = -
4th one is negative
Housing expenses are commonly referred to as PITI. What does PITI stand for?
Answer:
Step-by-step explanation:
PITI: principal, interest, taxes, and insurance
What is 9 X 10 to the fifth?
f(t)=10t2+5t+1 . Find the value of t for which the tangent line to the graph of f(t) has slope 1.
The value of t for which the tangent line to the graph of f(t) has slope 1 is -1/5.
The given function is f(t)=10t²+5t+1.
We need to find the value of t for which the tangent line to the graph of f(t) has slope 1.
What is the tangent line to the graph?In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.
Now, f'(t) = slope of the tangent line to the curve at the point (t, f(t)).
Given, f'(t) = 1
f(t)=10t²+5t+1
⇒f'(t)=20t+5
⇒1=20t+5
⇒20t=-4
⇒t=-4/20
⇒t=-1/5
Therefore, the value of t for which the tangent line to the graph of f(t) has slope 1 is -1/5.
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8.51 is what percent of 18.5
dive the two numbers:
8.51 / 18.5 = 0.46
0.46 = 46%
1 point) the solution of a certain differential equation is of the form y(t)=aexp(3t)+bexp(4t), y ( t ) = a exp ( 3 t ) + b exp ( 4 t ) , where a a and b b are constants. the solution has initial conditions y(0)=3 y ( 0 ) = 3 and y′(0)=3. y ′ ( 0 ) = 3 . find the solution by using the initial conditions to get linear equations for a a and
You have been able to do the dishes in 30 minutes and vacuum in 15 minutes. youer roomate takes 40 minutes to do the dishes and 60 minutes to vacuum. based on this scenario
Should the quotient of an integer divided by a nonzero integer always be a rational number? Why or Why not?
A man has 24 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 345 cents, how many dimes and how many quarters does he have?
The man has 17 dimes and 7 quarters.
A system of equations was set up, using the total number of coins and their total value, to determine the quantity of each coin type.
Let's denote the number of dimes as d and the number of quarters as q. We are given two facts: (1) the man has a total of 24 coins, and (2) the total value of the coins is 345 cents. Thus we have two equations:
d + q = 24 (since the total number of coins is 24)10d + 25q = 345 (since the value of each dime is 10 cents and each quarter is 25 cents, and their total value is 345 cents)We can solve this system of equations to find the values of d and q.
Subtracting the first equation from the second (multiplied by 10) to eliminate the variable d:
10d + 25q = 345
-(10d + 10q = 240)
-------------------------
15q = 105
Dividing by 15 to solve for q, we get q = 7. This means the man has 7 quarters. Substituting q = 7 into the first equation:
d + 7 = 24
d = 24 - 7
d = 17
So, the man has 17 dimes.
Therefore, the man has 17 dimes and 7 quarters.
What number can be written as 40 plus 5
add them together: 40+5 = 45
the number is 45
99 Point question - Consider the graph of f(x) below. (See attachment)
Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, or logarithmic.