Answer:
all real number {x | x is a real number}
? Question
Select the graph of the transformation.
The graph f(x)=√√ is transformed to form
shows g(x).
Answer: The vertex of the graph of [tex]y=x^2[/tex] is shifted to the right 4 units and up 3 units.
What is 60 percent of 92?
•
1.53
•
5.52
•
15.3
O 55.2
49:03 mins pls help me with this
60 percent of 92 is 55.2
How to determine the percentage?The statement is given as:
60 percent of 92
This means:
60% of 92
Express of as *
60% * 92
Evaluate the product
55.2
Hence, 60 percent of 92 is 55.2
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The temperature of a chemical reaction ranges between -10 degrees Celcius and 50 degrees Celcius. The temperature is at its lowest point when t=0, and the reaction completes 1 cycle during a 6 hour period. What is a cosine function that models this reaction?
Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
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Drag each sign and value to the correct location on the image. Each sign and value can be used more than once, but not all signs and values will be used. The vertices of an ellipse are at (-5, -2) and (-5, 14), and the point (0, 6) lies on the ellipse. Drag the missing terms and signs to their correct places in the standard form of the equation of this ellipse.
The complete equation of the ellipse is [tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
How to complete the vertex equation?The complete question is in the attachment
The given parameters are:
Vertex = (-5,-2) and (-5,14)Point = (-0,6)The vertex is represented as (h, k ± a).
So, we have:
h = -5
k + a = 14
k - a = -2
Add the last two equations
2k = 12
Divide by 2
k = 6
Substitute k = 6 in k + a = 14
6 + a = 14
Solve for a
a = 8
The ellipse equation is represented as:
[tex]\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2} = 1[/tex]
So, we have:
[tex]\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
The ellipse passes through the point (0,6).
So, we have:
[tex]\frac{(0 + 5)^2}{b^2} + \frac{(6 - 6)^2}{8^2} = 1[/tex]
This gives
[tex]\frac{5^2}{b^2} + \frac{0}{8^2} = 1[/tex]
Evaluate the quotient
[tex]\frac{5^2}{b^2} = 1[/tex]
Cross multiply
[tex]b^2 = 5^2[/tex]
Take the square root of both sides
b = 5
Substitute b = 5 in [tex]\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
[tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
Hence, the complete equation of the ellipse is [tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
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Graph the feasible region subject to the following constraints:
7x+11y≤ 1540
x+3y ≤ 360
x+y≤ 200
x≥0
y≥0
The attached graph represents the graph of the constraints
How to graph the feasible region?The constraints are given as:
7x+11y≤ 1540
x+3y ≤ 360
x+y≤ 200
x ≥ 0, y ≥ 0
Next, we plot the graph of the constraints using a graphing calculator
From the graph (see attachment), we have the coordinates of the feasible region to be (66, 98), (120,80) and (165,35)
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Which describes how the parent function, f(x) = |x|, is transformed to show the function
f(x) = 0.1|x – 3|?
It is wider and shifted 3 units to the left.
It is wider and shifted 3 units to the right.
It is narrower and shifted 3 units to the left.
It is narrower and shifted 3 units to the right.
It is wider and shifted 3 units to the left , Option A is the right answer.
What is a Function ?Function is a mathematical statement that shows relation between two variables.
The parent function given is
f(x) = |x|
The transformed function is given by
f(x) = 0.1|x -3|
The function is shifted towards the left
and as the scale factor is 0.1 therefore , It is wider
Therefore Option A is the right answer.
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Answer:
The answer for this is B.
Step-by-step explanation:
Figured it out the hard way on EDGE. 2022
(╯‵□′)╯︵┻━┻
given the formula p=k*2 w, find the value of p if k= 5 and w= - 3
3.14(a2 + ab) when a = 4 and b = 3
Step-by-step explanation:
how does the picture fit into this question ?
I guess you mean
(a² + ab)
when a = 4 and b = 3. then we simply replace the variable names by the actual values and calculate :
4² + 4×3 = 16 + 12 = 28
.
now to the picture :
i am not sure what the requested result of procedure is.
so, I am just going to simplify the expression :
(log(25) - log(4)) / (log(55) - 1/2 × log(2)
remember the rules of the logarithm :
log(a) - log(b) = log(a/b)
k × log(a) = log(a^k)
a^(1/2) = sqrt(a) (the square root of a)
I assume we are using the logarithm to the base of 10.
so, we have here
log(25/4) / log(55/sqrt(2)) =
= 0.795880017... / 1.589847692... = 0.500601423...
In the equation y/6 = 156, what is the next step in the equation solving sequence
Answer:
Linear Equations In One Variable =
Next step :
in the equation y/6 = 156, it would be equivalent to y = 156 × 6.
so that :
y = 156 × 6
y = 936
this equation solved. (Answer : 936)
Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest?
Using proportions, it is found that the amounts are given as follows:
Amount deposited: $127,500.Amount of interest: $153,792.21.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The amount deposited is of $425 each month for 25 years, that is, $425 in 25 x 12 times, that is:
D = 425 x 25 x 12 = $127,500.
The amount of interest is the total amount subtracted by the amount deposited, hence:
I = 281,292.21 - 127,500 = $153,792.21.
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graph the equation y+3=2(x+3)?
Answer:
see attached
Step-by-step explanation:
You recognize the equation of the line as being given in point-slope form:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y +3 = 2(x +3) . . . . . . given equation
This tells you the point is (h, k) = (-3, -3), and the slope is m = 2.
__
You can graph the equation by plotting the point (-3, -3) and drawing a line with a slope of 2. It will rise 2 units for each unit to the right.
Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region. Click to set the corner points. 2 x + 4 y ≤ 36 7 x + 5 y ≤ 63 x ≥ 0 y ≥ 0 { 2x+4y ≤ 36 7x+5y ≤ 63 x ≥ 0 y ≥ 0
Feasible region for the given inequalities is shaded via black color in graph.
What is Inequalities?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, given Inequalities are;
2 x + 4 y ≤ 36
7 x + 5 y ≤ 63
x ≥ 0 y ≥ 0
The graph of given inequalities are given below and the feasible region is shaded with the black color.
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Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Set up a linear system and solve. A cash register contains $5 bills and $50 bills with a total value of $345. If there are 15 bills total, then how many of each does the register contain?
Answer:
6 $50 bills and 9 $5 bills
Step-by-step explanation:
Let's let x = the number of $5 bills, and y = the number of $50 bills. With this, we can set up two equations:
5x + 50y = 345
x + y = 15
Because there is $345 total in the register, that means that 5 times the number of $5 bills plus 50 times the number of $50 bills would equal 345. And there are 15 bills total, so the numbers added is 15. Now, we can solve these equations through substitution:
x + y = 15
x = 15 - y
Now, plug in (15 - y) for x into the other equation, and solve for y:
5(15 - y) + 50y = 345
75 - 5 y + 50y = 345
75 + 45y = 345
45y = 270
y = 6
Since y is 6, that means we have 6 $50 bills. And there are 15 bills total, so there are 9 $5 bills. (15 - 6 = 9)
The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elevation the opposite of the elevation of the plain? Describe the steps you would follow with a vertical number line to find the answer.
Answer :Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:
first, check the directions to make sure they are opposite,
then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.
3 is not the opposite of -6
__
6 is the opposite of -6
Which table represents a nonlinear function?
Someone answer this, thank you!
Step-by-step explanation:
1) the equation of the line represented is
y=0.5x+3 (slope-interception form), the slope is 0.5, the intercept is 3.
x-2y+6=0 (common form);
2) x-intersection is at -6, y-intersection is at 3.
Urgent my safari wont work! 20 pts!!
What’s the square root of 32006???
for the previous problem some of the work was done for you remember when solving a quadratic equation you must start with all terms on one side and put it in standard form for the following equations first put the equation in standard form and them use quadratic formula to solve 9x^2 -25 = -12-10x
4n^2-1=-12n +3n^2+11
Solving the given equations we get,
Solutions of quadratic equation [tex]9x^2-25=-12-10x[/tex] are x=0.77 and -1.88Solutions of quadratic equation [tex]4n^2-1=12n+3n^2+11[/tex] are n=12.93 and -0.93If the quadratic equation is [tex]ax^2+bx+c=0[/tex] then the solutions of this are given by,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here in the problem given that,
The first quadratic equation is [tex]9x^2-25=-12-10x[/tex]
Converting it into standard form of quadratic equation we get,
[tex]9x^2-25=-12-10x\\9x^2-25+12+10x=0\\9x^2+10x-13=0[/tex]
So here a=9,b=10,c=-13
The solutions of the equation is given by,
[tex]x=\frac{-10\pm\sqrt{10^2-4\times9\times(-13)}}{2\times9}=\frac{-10\pm\sqrt{100+468}}{18}\approx\frac{-10\pm23.83}{18}[/tex]
So either,
[tex]x=\frac{-10+23.83}{18}=\frac{13.83}{18}\approx0.77[/tex]
Or,
[tex]x=\frac{-10-23.83}{18}\approx-1.88[/tex]
So the solutions are given by x=0.77 and -1.88
Second quadratic equation is [tex]4n^2-1=12n+3n^2+11[/tex]
Converting the equation in its standard form we get,
[tex]4n^2-1=12n+3n^2+11\\4n^2-1-12n-3n^2-11=0\\n^2-12n-12=0[/tex]
so here a=1,b=-12,c=-12
Solutions are given by,
[tex]n=\frac{-(-12)\pm\sqrt{(-12)^2-4\times1\times(-12)}}{2\times1}=\frac{12\pm\sqrt{144+48}}{2}\approx\frac{12\pm13.86}{2}[/tex]
So either
[tex]n=\frac{12+13.86}{2}=12.93[/tex]
Or,
[tex]n=\frac{12-13.86}{2}=-0.93[/tex]
Solutions are given by n = 12.93 and -0.93
Hence the solutions are x=0.77 and -1.88 for first equation and n=12.93 and -0.93 for second equation.
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[15 PTS] PLS HELP!!!
What is the end behavior of the function?
The correct answer is the fourth option.
Find the equation of a line that is perpendicular to Y= 4X +5 that passes through (2,-5)
Answer:
4y +x =18
Step-by-step explanation:
y - (-5) -1
----------- = ------
x - 2 4
4y +20 = -x+2
4y +x =18
The circle below is centered at the point (-1, 2) and has a radius of length 3.
What is its equation?
O A. (*+ 1)2 + (y- 2)2 = 9
O B. (x- 2)2 + (y + 1)? =
32
O c. (x- 1)2 + (y + 2)2 = 9
l
O D. (x+ 2)2 + (y- 1)2 =
32
Answer:
it should be option A
and in option there should be "x" instead of "*"
Equation of circle is,
⇒ (x + 1)² + (y - 2)² = 9
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle below is centered at the point (-1, 2) and has a radius of length 3.
Now, We get;
The equation of circle is,
⇒ (x - (- 1))² + (y- 2)² = 3²
⇒ (x + 1)² + (y - 2)² = 9
Thus, Equation of circle is,
⇒ (x + 1)² + (y - 2)² = 9
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Find the area of a 150° sector of a circle whose radius is 3.
Answer: [tex]\frac{15\pi}{4}[/tex]
Step-by-step explanation:
[tex]A=\pi(3^{2})\left(\frac{150}{360} \right)=\boxed{\frac{15\pi}{4}}[/tex]
The price of 11 pizzas and 5 hamburgers is 40$. The price of 1
hamburger is 2.50$. What is the price of a hamburger?
Step-by-step explanation:
you mean, what is the price of a pizza, right ? and I guess it is pizza slices ...
1 hamburger = $2.50
5 hamburgers = 5×1 hamburger = 5×2.5 = $12.50
that leaves for the 11 pizzas (slices)
40 - 12.5 = $27.50
so, 1 pizza (slice) is
27.5 / 11 = $2.50
Answer:
One hamburger costs $2.50
One pizza also costs $2.50
Step-by-step explanation:
Let's say Nigel is the one purchasing lots of food for no reason.
Nigel bought 11 pizzas and 5 hamburgers for $40 (DAMMMM WHAT COUPON IS THAT??)
We can write this algebraically:
11p + 5b = 40
We know that the price of 1 Hamburger is $2.50.
Now we can plug that into out equation and find the price of one pizza:
11p + 5(2.50) = 40
11p + 12.5 = 40
11p = 27.5
p = 2.5
Now, we have the price of one pizza, $2.50
A contemporary building has a window in the shape of a parallelogram with a base of 90 in and an adjacent side of 40 in. How many inches of trim are needed to surround the window?
260 inches of trim are needed to surround the window.
What is the surface area?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
Actually, all we need is a trim that is the same size as our window and equal to the parallelogram's circumference, which is
The sum of the side is;
⇒Length of lower side + Length of the upper side
⇒ 90+90
⇒180 inches
The sum of adjacent sides;
Sum of adjacent sides = 40+40
Sum of adjacent sides = 80 inches
The length you should trim is needed to surround the window is found as;
⇒ 180 inches + 80 inches
⇒260 inches
Hence,260 inches of trim are needed to surround the window.
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What linear function can be represented by the set of ordered pairs?
{(−1,−10),(3,2),(5,8),(7,14)}
Enter your answer in the box.
A few years ago, Sarah acquired a parcel of land valued at $13,800. Today, that same parcel of land has a value of $14,766. Find the percent increase in the property's value. Round your answer to the nearest hundredth, if necessary.
Answer:
7%
Step-by-step explanation:
[tex] \frac{14766 - 13800}{13800} \times 100 = 7 [/tex]
The percent increase in the property's value is 7% if the parcel of land is valued at $13,800. Today, that same parcel of land has a value of $14,766.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
A few years ago, Sarah acquired a parcel of land valued at $13,800. Today, that same parcel of land has a value of $14,766
Percentage increase:
[tex]= \rm \dfrac{14766-13800}{13800}\times 100[/tex]
= 7%
Thus, the percent increase in the property's value is 7% if the parcel of land is valued at $13,800. Today, that same parcel of land has a value of $14,766.
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What is the range of the function in the graph?
. 1≤x≤6
B. 20≤y≤60
C. 20≤x≤60
D. 1≤y≤60
Answer:
B
Step-by-step explanation:
Range is all the possible values of 'y'. As seen in the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60). Therefore, the range is B. 20≤y≤60
PLEASE HELP!!!!
Which operation should you perform last in the expression 3^2 + 2?
Answer: the +2
Step-by-step explanation: PEMDAS. Exponents are before addition in the sequence. I hope this helps!
(The E standing for exponents and the A standing for addition)
Write and solve an inequality that means a number plus four is greater than or equal to twelve.
Answer:
[tex]x+4\geq 12[/tex]
Step-by-step explanation:
x - a number
x+4 - a number plus 4
x+4[tex]\geq[/tex] - a number plus 4 is greater than or equal to
x+4[tex]\geq[/tex]12 - a number plus 4 is greater than or equal to twelve
Answer:
Inequality: x + 4 ≥ 12
Solution: x ≥ 8
Step-by-step explanation:
Plus: "+" → to add something to something else
Greater than or equal to: "≥" → the expression on the left side of the inequality sign is greater than the expression on the right side of the sign.
Let x be the unknown number.
A number plus four is greater than or equal to twelve:
x + 4 ≥ 12
To solve the found inequality, subtract 4 from both sides:
⇒ x + 4 - 4 ≥ 12 - 4
⇒ x ≥ 8
Therefore, the solution to the inequality is x ≥ 8. The unknown number x can be any real number equal to or greater than 8.
