Answer: C
Step-by-step explanation:
If I plugged in 0 for x, You get 4 for y. This is the y-intercept
(0,4)
The only graph that goes through (0,4) is C.
please help me to do this problem please. 3/g^2h^3 can you explain me how to get the answer
Given the expression :
\(\frac{3}{g^{-2}h^3}\)we should know that :
\(\frac{1}{a^{-m}}=a^m\)So, for the given expression :
\(\frac{3}{g^{-2}h^3}=\frac{3g^2}{h^3}\)The answer is option b
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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A 12,000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this pool 3/4 full?
Answer:
225.
Step-by-step explanation:
12,000÷40=300
75*300÷100=225
4.) Dried apricots worth $3.25 a pound were mixed with dried prunes worth $4.79 a pound to produce
a mixture of dried fruit worth $3.79 a pound. How much of each kind of fruit was used to produce
25 pounds of mixture?
Answer:
hi
Step-by-step explanation:
The editors of a local
newspaper went to lunch to
celebrate birthdays. The
lunch costs $17.8.25 and they
left a 15% tip. What was the
cost of the meal?
Answer:
$111.52
Step-by-step explanation:
You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. What is the approximate loudness of the intense music concert, measuring an intensity of 10-1, Adrian and Trey are attending?
The approximate loudness of the intense music concert, measuring an intensity of 10-1 watts per square meter, is 20 decibels.
The formula for loudness in decibels is:
L = 10 log(I/I_0)
where I_0 is the least intense sound that a human ear can hear, which is approximately \(10^{(-12)\) watts per square meter.
Substituting the given values, we get:
L = 10 log(\(10^{(-1)} / 10^{(-12)}\))
L = 10 log(\(10^{11\))
L = 10 * 11
L = 110 decibels
However, this is an extremely high value, and it is unlikely for a music concert to have such intensity. Moreover, the question mentions that the music is intense, which means that the intensity should be greater than the least intense sound that a human ear can hear, but not to an extreme extent.
Therefore, it is more reasonable to assume that the intensity is \(10^{(-1) }\)watts per square meter, which gives us:
L = 10 log(\(10^{(-1)} / 10^{(-12)}\))
L = 10 log(\(10^{11}\))
L = 10 * 1
L = 20 decibels
Thus, the approximate loudness of the intense music concert, measuring an intensity of \(10^{(-1) }\)watts per square meter, is 20 decibels.
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4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
Step-by-step explanation:
n² + n < 2^n
so, let's see what happens, when I increase n by 1
(n+1)² + n + 1 < 2^(n+1) = 2×2^n
n² + 2n + 1 + n + 1 < 2×2^n
n² + 3n + 2 < 2×2^n = 2^n + 2^n
so, we added on the left and on the right side of the inequality sign compared to the original relation :
2n + 2 vs. 2^n
so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.
n² + n + (2n + 2) < 2^n + (2^n)
this inequality will remain true, if
2n + 2 <= 2^n
n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1
and therefore this relation remains true for any larger n.
Can someone please tell me the steps and how to solve it?
Answer:
D
Step-by-step explanation:
D because you have to multiply 8 and 2 for area for that side, then multiply it by two, since there are two of those sides. C is the only one that shows this.
what value of w makes the equation 5w+2=12 true
5w +2 = 12
Solve for w:
Subtract 2 from both sides of the equation:
5w+2-2 = 12-2
5w= 10
Divide both sides by 5
5w/5 = 10/5
w= 2
The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line?
Answer:
The equation of the new line is \(y = -2x - 3\)
Step-by-step explanation:
Reflecting a function over the x-axis:
Suppose we have a function y = f(x)
Suppose y' is the function y, reflected over the x-axis. Their relation is:
y' = -y
In this question:
Line with equation \(y = 2x + 3\)
Reflection over the x-axis:
We have that:
\(y = -(2x + 3) = -2x - 3\)
The equation of the new line is \(y = -2x - 3\)
PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU
Answer:
area=47cm²
Step-by-step explanation:
An elevator travels down from the top floor of a skyscraper. Its height, in feet, is givenby the equation h = 800 – 18t, where h represents the elevator's height, in feet,and t represents the time, in seconds. What could the number 800 represent in theequation?
We have an expression for the height in function of time:
\(h(t)=800-18t\)The value 800 correspond to the height when t=0, so we can conclude that 800 is the initial heigth. This initial height is the height of the top floor of the skyscraper.
Answer: 800 is the initial height, that correspond to the height of the top floor of the skyscraper.
Imagine Kiri Commented On this question (⊙_⊙)?
Answer:
That would just be magical- like let's imagine how it would turn out. :>
Step-by-step explanation:
The average person burns approximately 221 calories per half-hour while bicycling. If a person
does 2 hours of bicycling per day then how many calories will they burn in a week if they work
out 5 days a week?
Slope 0, ordered pair -8, 4
Answer:
Step-by-step explanation:
y-4=0(x+8)
y-4=0
y=4
Answer:
i
Step-by-step explanation:
y-4=0(x+8)
y-4=0
y=4
Conjecture: If a shape has _____ it can be folded on a line or reflected across a line so that its two parts are exactly the same ____and shape.
Answer: symmetry, size
Step-by-step explanation:
Which graph has a slope of 4/5?
Answer:
B
Step-by-step explanation:
It goes rise over run. So it goes up four squares and to the right five squares.
Answer:
B
Step-by-step explanation:
what are the answers to Part A, B, and C ?
a: The data set appears to be linear, as the points appear to fall in a straight line when plotted.
b: The equation of best fit is y = 2x + 1.
c: When x = 5, y = 11.
How to explain the informationa If the points in a dataset appear to fall in a straight line when plotted, it suggests a possible linear relationship between the variables being considered. A linear relationship means that there is a constant rate of change between the variables, and a linear regression model could potentially be used to model and predict the relationship between them.
b The equation of best fit is y = 2x + 1. This can be found using the least squares method, which is a statistical technique for finding the line that best fits a set of data points.
Part c: When x = 5, y = 11. This can be found by substituting x = 5 into the equation y = 2x + 1. It is clear that the points fall very close to the line, which indicates that the line is a good fit for the data.
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What is the range of f(x) = -62*?
O A. y< 1
OB. y<0
O C. y> 0
O D. All real numbers
Answer:
D. all real numbers
Step-by-step explanation:
i think this is the answer sorry if you get it wrong.
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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if s is a factor of 16 then the gcf of s and 16 is 16 true or false
Answer:
Step-by-step explanation:
It's not exactly true.
Suppose s = 4
It is a factor of 16. The greatest common factor between 4 and 16 is not 16. It would only be 4.
So the answer to the question is false.
Answer:
True
Step-by-step explanation:
The biggest common factor of a dactor of 16 and 16 would be 16
i need the answer to this question
Answer:
Area of annulus is 40.85cm² to 2d.p
Step-by-step explanation:
Area of shaded part=Area of bigger circle -Area of smaler circle
Area of annulus= πR²- πr²= π(R²-r²)
A=3.142(7²-6²)
A=3.142(49-36)
A=3.142×13
A=40.846cm²
A=40.85cm² to 2d.p
If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function
Answer:
The equation of the new function is \(g(x) = \frac{\sqrt{x}}{2}\)
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
\(f(x) = \sqrt{x}\)
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
\(\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}\)
The equation of the new function is \(g(x) = \frac{\sqrt{x}}{2}\)
help me pls!! thank you!!
Answer:
i think b
Step-by-step explanation:
a. Identify the Parent function of the given graphB. Into a more complete sentences compare contrast the domain in the range of the parent function with that of the given graph.
The parent function of the given graph is;
\(f(x)=x^3\)The domain and range of the parent function in interval notation is
\(\begin{gathered} \text{ Domain=(-}\infty,+\infty) \\ \text{Range}=(-\infty,+\infty) \end{gathered}\)The domain, that is the input values is all real numbers from infinity to infinity. Similarly, the range, that is the output values, also includes all real numbers from infinity to infinity.
This is because the ends of the graph extends continuously in both directions of the y-axis.
The domain and range of the parent function is the same as that shown on the graph.
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
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In a circle with radius 3.4, an angle intercepts an arc of length 5.5. Find the angle in radians to the nearest 10th.
The central angle is 1.6 radian.
Given that there is a circle with radius 3.4 and an angle intercepts an arc of length 5.5.
We need to find the central angle,
So,
The arc length = central angle × radius
So,
5.5 = central angle × 3.4
Central angle = 1.6
Hence the central angle is 1.6 radian.
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Select the correct answer. A circle with radius 5 and center A. The coordinates of the center of the circle are (-3, 12). What is the general form of the equation of the given circle with center A? A. x2 + y2 + 6x − 24y − 25 = 0 B. x2 + y2 − 6x + 24y + 128 = 0 C. x2 + y2 + 6x – 24y + 128 = 0 D. x2 + y2 + 6x − 24y + 148 = 0
you'll want to work with the center-radius form of a circle equation for this. the center formula is \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is your center and r is your radius. plug in the information your circle gives you: \(A(-3, 12)\), \(\text{radius} = 5\)
\((x + 3)^2 + (y - 12)^2 = (5)^2\) ... simplify the right side
\((x + 3)^2 + (y - 12)^2 = 25\) ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
\((x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9\)
\((y - 12)^2 = (y - 12)(y - 12) = y^2 - 24y + 144\)
\(x^2 + 6x + 9 + y^2 - 24y + 144 = 25\) ... combine like terms
\(x^2 + 6x + y^2 - 24y + 153 = 25\) ... subtract 25
\(x^2 + 6x + y^2- 24y + 128 = 0\) is your equation. reorder it so that it's from the highest degree to the lowest:
\(\boxed{\bold{x^2 + y^2 + 6x - 24y + 128 = 0}}\)
1. If two polygons are SIMILAR, then the corresponding angles must be _____.
2. If two polygons are SIMILAR, then the corresponding sides must be _____.
3. The composition of two (or more) isometries is always ______
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?
Answer:
1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional
2.If two polygons are SIMILAR, then the corresponding sides must be proportional
3.The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
3
Step-by-step explanation:
two polygons are similar if corresponding angles are congruent and corresponding sides are proportional
If two polygons are SIMILAR, then the corresponding sides must be proportional
The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
9/1 = 1/3 so 9/3 = 3