Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
.Agile methods typically use a(n) _____, which represents a series of iterations based on user feedback.​
a. ​extreme model
b. ​evaluative model
c. ​incremental model
d. ​spiral model
c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.
The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.
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Is square root of 4 a polynomial?
Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.
A polynomial need not have any square root. polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.
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Please need help with this things
Answer:
A B and C
Step-by-step explanation:
Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.
a. x = –6 or x = 1
b. x = –3 or x = –2
c. x = –1 or x = 6
d. x = 2 or x = 3
Step-by-step explanation:
(x + 2)(x + 3) = 12
x² + 5x + 6 = 12
x² + 5x - 6 = 0
(x + 6)(x - 1) = 0
By zero product rule, we have (x + 6) = 0 or (x - 1) = 0.
=> x = -6 or x = 1. (A)
A plane flies 1640 miles in four hours what is the average speed of the plane
Answer:
410 Miles per Hour
Step-by-step explanation:
If the plane flew 1640 miles in 4 hours, we divide the distance by time to get how far it flew in just 1 hour.
Pls answer with work (I can graph it)
Horizontal asymptotes: y = 2 ; vertical asymptotes: x = 2; x- intercept and y- intercept is at (0,0).
Explain about the asymptotes:A value that you approach steadily yet never quite reach is an asymptote. An asymptote is a line in mathematics that a graph reaches but never crosses. It can be horizontal, vertical, or slanted.
A graph's vertical asymptote is a vertical line with the equation x = a, where the graph tends to positive or negative infinity as when the inputs get closer to the value of a. A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph moves closer to the line even as inputs get closer to ∞ or –∞.Given function:
f(x) = 2x² /(x² - 4)
horizontal asymptotes:
As the degree of both numerator and denominator is same that is 2.
The horizontal asymptotes y = a/b
a - leading coefficient of numerator
b - leading coefficient of denominator
y = 2/1 = 2
horizontal asymptotes: y = 2
vertical asymptotes:
Put the denominator = 0 and find the 'x'.
(x² - 4) = 0
x² = 4
x = ± 2
vertical asymptotes: x = 2
x- intercept : Put f(x) = 0 and find 'x'.
f(x) = 2x² /(x² - 4)
0 = 2x² /(x² - 4)
2x² = 0
x = 0
x- intercept : x = 0
y- intercept : Put x = 0 and find 'f(x)'.
f(x) = 2(0)² /((0)² - 4)
f(x) = 0
y- intercept is at 0
Thus, x- intercept and y- intercept is at (0,0).
The graph for the function is drawn using the graphing tool, as shown.
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round 5.1234 to the nearest thousandths
A method for determining whether a critical point is a relative minimum or maximum using concavity.
To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.
If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.
On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.
If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.
Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.
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Complete question is:
What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.
AMOUNT PER $1.00 INVESTED AT 6%
COMPOUNDED DAILY
DayAmount Day Amount Day Amount
10 1.0016570 1.011571301.02160
20 1.0032980 1.013231401.02328
30 1.0049490 1.014901501.02496
40 1.006601001.016571601.02665
50 1.008251101.018251701.02834
60 1.009911201.019921801.03002
You opened a savings account with a deposit of $3,800 at a 6% interest rate compounded daily. What the
amount in the account after 140 days if you made no other deposits or withdrawals?
$3888 46
The amount of money that would be in the account after 140 days is $3888.46.
What is amount?Amount is a noun that is used to refer to a quantity of something, usually a numerical value. It can refer to a number of units of something, such as money, weight, or time. It is also used to refer to the total sum of something, such as a total cost or total number of items. Amount can also be used to refer to the degree or extent of something, such as the amount of effort or the amount of work needed to complete a task.
This amount is calculated by multiplying the initial deposit of $3,800 by the amount per $1.00 invested at 6% compounded daily after 140 days. According to the chart above, the amount per $1.00 invested at 6% compounded daily after 140 days is 1.09911201. Therefore, the total amount in the account after 140 days is $3,800 x 1.09911201 = $3888.46.
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The amount of money that would be in the account after 140 days is $3888.46.
What is amount?Amount is a noun that is used to refer to a quantity of something, usually a numerical value. It can refer to a number of units of something, such as money, weight, or time. It is also used to refer to the total sum of something, such as a total cost or total number of items. Amount can also be used to refer to the degree or extent of something, such as the amount of effort or the amount of work needed to complete a task.
This amount is calculated by multiplying the initial deposit of $3,800 by the amount per $1.00 invested at 6% compounded daily after 140 days.
According to the chart above, the amount per $1.00 invested at 6% compounded daily after 140 days is 1.09911201.
Therefore, the total amount in the account after 140 days is $3,800 x 1.09911201 = $3888.46.
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Before he left the house to go on a walk, Curtis played a video game. He started with O points, lost 8
points 3 different times, won 4 points and then lost 2 points. How many points did he have when he
left for his walk?
Answer:
-22
Step-by-step explanation:
given= 0
lost= -8 times 3 = -24
won= 4 -24+4=-20
lost= -2 -20-2=-22
Answer=-22
draw 2 cards at random with replacement. what is the chance that the first is a heart and the second is a heart?
The chance of drawing a heart on the first draw and a heart on the second draw is 1/16, or approximately 0.0625.
When drawing 2 cards at random with replacement, there are 52 cards to choose from for the first draw, and 52 cards again for the second draw. Since there are 13 hearts in a deck of 52 cards, the probability of drawing a heart on the first draw is 13/52 or 1/4.
Since we replace the card after the first draw, the probability of drawing a heart on the second draw is also 1/4. To find the probability of both events occurring, we multiply their probabilities. Therefore, the probability of drawing a heart on the first draw and a heart on the second draw is:
P(heart on first draw) x P(heart on second draw | heart on first draw)
= 1/4 x 1/4
= 1/16
So, the chance of drawing a heart on the first draw and a heart on the second draw is 1/16, or approximately 0.0625.
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x²-7=29 ………………………………………………………….
\({ \qquad{ \boxed{ \red{ \tt{x = 6}}}}}\)
Step-by-step explanation:
\({ \green{ \tt{ {x}^{2} - 7 = 29}}}\)
\({ \green{ \tt{ {x}^{2} = 29 + 7}}}\)
\({ \green{ \tt{ {x}^{2} = 36}}}\)
\({ \green{ \tt{x = \sqrt{36}}}} \)
\({ \qquad{ \boxed{ \blue{ \tt{x = 6}}}}}\)
PLEASE HELP ME WITH THIS ASSIGNMENT PLEASE!!
I'm rather busy right now but I'll try my best to help you out
1. Radius is 6 because 12/2 = 6
2. Formula is πr^2
im really sry i wasnt able to help out alot but i hope you can understand it a little better
2
3
6 7 8 9 10
Question
Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of
the coins is $1.30. How many nickels and how many dimes are in the jar?
The jar contains
nickels and
dimes.
9514 1404 393
Answer:
14 nickels6 dimesStep-by-step explanation:
The system of equations can be written ...
n + d = 20 . . . . . . . . coins in the jar
5n +10d = 130 . . . . . value in cents
_____
Using the first equation, we can write an expression for n:
n = 20 -d
We can substitute this into the second equation:
5(20 -d) +10d = 130
100 +5d = 130 . . . . . . simplify
5d = 30 . . . . . . . . . . . . subtract 100
d = 6 . . . . . . . . . . . . divide by 5
n = 20-d = 14
The jar contains 14 nickels and 6 dimes.
A cake recipe calls for two cups of sugar to five cups of flour. How much flour per cup of sugar? How much sugar per cup of flour?
Answer:
2 cups sugar : 5 cups flour
2.5 cups of flour per cup of sugar because we divide both sides by 2
0.4 cups of sugar per cup of flour because we divide both sides by 5
(Find the unit rate)
Anyone know the answer, thank you
Answer:
I think it C
Step-by-step explanation:
if im wrong please tell me
hope this helps
asuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametricaly opposite a woman
There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.
To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.
So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?
27 + 9x = 12x - 6
(Provide steps)
Answer:
Let's solve your equation step-by-step.
27+9x=12x−6
Step 1: Simplify both sides of the equation.
27+9x=12x−6
27+9x=12x+−6
9x+27=12x−6
Step 2: Subtract 12x from both sides.
9x+27−12x=12x−6−12x
−3x+27=−6
Step 3: Subtract 27 from both sides.
−3x+27−27=−6−27
−3x=−33
Step 4: Divide both sides by -3.
−3x
−3
=
−33
−3
x=11
Answer:
x=11
Step-by-step explanation:
The image of a point (1, 2) under a translation is (-5, -4) what is the translation vector
Answer:
u = vector (-6 , -6)
Step-by-step explanation:
u = vector(a , b)
Left (-) 6 units and down (-) 6 units
The translation vector for the image is (-6,-6).
What is a translation vector?A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. Vectors are given in the form ( x y ) where x is the movement horizontally and y is the movement vertically.
For the given situation,
The image of a point (1, 2) under a translation is (-5, -4) .
The translation vector can be found by calculating the movement horizontally and vertically as
⇒ \((-5-1,-4-2)\)
⇒ \((-6,-6)\)
Hence we can conclude that the translation vector for the image is (-6,-6).
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in the market for a bag of socks, what happens if the price of cotton falls?
A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.
If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.
When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:
1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.
2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.
3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.
It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.
Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.
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What is the speed of 240 km in 3 hours?
The speed of the moving body that is being referred to here is 80 kilometer per hour.
The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.
\(Distance = speed * time\)
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What is the solution to this system of equations? 3x+y+2z=6 6x−2y=2 3x+y−2z=0
The value of x, y and z are 2/3, 1, and 3/2 if the system of equations 3x+y+2z=6 6x−2y=2 3x+y−2z=0
What is a linear equation?It is defined as the relation between three variables, if we plot the graph of the linear equation we will get a plane.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The linear equations are:
3x+y+2z=6
6x−2y=2
3x+y−2z=0
From equation (I) and (III)
6x + 2y = 6
From the above equation and equation (II)
12x = 8
x = 8/12 = 2/3
y = 1
z = 3/2
Thus, the value of x, y and z are 2/3, 1, and 3/2 if the system of equations 3x+y+2z=6 6x−2y=2 3x+y−2z=0
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The arena set-up team’s work schedule is shown in the table below. Convert the minutes worked into hours.
Staff Member Minutes Worked Hours Worked
converting hours into fractions
Mike Chewer 870
Jennifer Glass 225
Fred Carlton 75
Amy Amaretto 720
Answer:
\(Mike\ Chewer = 14\frac{1}{2}\ hr\)
\(Jennifer\ Glass = 3\frac{3}{4}\ hr\)
\(Fred\ Carlton = 1\frac{1}{4}\ hr\)
\(Amy\ Amaretto = 12\ hr\)
Step-by-step explanation:
Given
\(Mike\ Chewer = 870\ minutes\)
\(Jennifer\ Glass = 225\ minutes\)
\(Fred\ Carlton = 75\ minutes\\\)
\(Amy\ Amaretto = 720\ minutes\)
Required
Convert to hours (in fraction)
To do this, we simply divide the time by 60
\(Mike\ Chewer = 870\ minutes\)
Divide by 60
\(Mike\ Chewer = \frac{870}{60}\ hr\)
\(Mike\ Chewer = \frac{87}{6}\ hr\)
Express as mixed numbers
\(Mike\ Chewer = 14\frac{3}{6}\ hr\)
Simplify
\(Mike\ Chewer = 14\frac{1}{2}\ hr\)
\(Jennifer\ Glass = 225\ minutes\)
Divide by 60
\(Jennifer\ Glass = \frac{225}{60}\ hr\)
Express as mixed numbers
\(Jennifer\ Glass = 3\frac{45}{60}\ hr\)
Simplify
\(Jennifer\ Glass = 3\frac{3}{4}\ hr\)
\(Fred\ Carlton = 75\ minutes\\\)
Divide by 60
\(Fred\ Carlton = \frac{75}{60}\ hr\)
Express as mixed numbers
\(Fred\ Carlton = 1\frac{15}{60}\ hr\)
Simplify
\(Fred\ Carlton = 1\frac{1}{4}\ hr\)
\(Amy\ Amaretto = 720\ minutes\)
Divide by 60
\(Amy\ Amaretto = \frac{720}{60}\ hr\)
\(Amy\ Amaretto = 12\ hr\)
∠GHJ and ∠MHJ are complementary. If m∠GHJ=(6x)° and m∠MHJ=18°, find the value of x.
Answer:
The value of x = 12
Step-by-step explanation:
Here, we are to find the value of x
If the two angles are supplementary, it means that they add up to be 90 degrees
Thus;
∠GHJ + ∠MHJ = 90
6x + 18 = 90
6x = 90-18
6x = 72
x = 72/6
x = 12
what is the number of the parking space 16, 06, 68
The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.
To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.
When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.
Therefore, the number formed by the digits 16, 06, and 68 is 160668.
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read the picture plsssssssssss
PLEASE HELP RIGHT NOW THE QUESTION IS BELOW WITH THE PICTURE IF YOU KNOW IT PLEASE TELL ME I WOULD APPRECIATE IT THANKS HAVE AN AWSOME NIGHT
Answer:
b
Step-by-step explanation:
What is the square of √ 1?
The square of given expression √1 ( square root of 1 ) is equal to 1.
As given in the question,
Given expression is equal to √1 ( square root of 1 )
To calculate the square of √1 we have,
Let us consider variable x is equal to √1
x = √1
Now take square on both the sides of the given expression we get,
x² = (√1 )²
⇒ x² = √1 × √1
Multiplying square root of 1 to square root of 1 is equal to 1 we get,
or use law of exponent :
√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)
= 1
⇒ x² = 1
Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.
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Consiter this prism Enter the volume of the rectangular prism, in cubic centimeters.
To find the volume of the given prism, first, we have to transform each mixed number into a fraction
\(\begin{gathered} 3\frac{3}{4}=\frac{3\cdot4+3}{4}=\frac{12+3}{4}=\frac{15}{4} \\ 3\frac{1}{3}=\frac{3\cdot3+1}{3}=\frac{9+1}{3}=\frac{10}{3} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{4+1}{2}=\frac{5}{2} \end{gathered}\)Then, we multiply the dimensions to find the volume
\(V=\frac{15}{4}\times\frac{10}{3}\times\frac{5}{2}=\frac{750}{24}=\frac{375}{12}ft^3=\frac{125}{4}ft^3=31\frac{1}{4}ft^3\)But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it
\(31.25ft^3\cdot\frac{30.48\cdot30.48\cdot30.48(cm)^3}{1ft^3}\approx884,901\frac{23}{50}(cm)^3\)An equation for the line
Answer:
y=-1/3x
Step-by-step explanation:
if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom