Answer:
Vertex point = (3, -2)
Step-by-step explanation:
if f(x)=5x-12, what is f(2)?
Answer:
Step-by-step explanation:
5x2-12=10-12=-2
Answer:
=-2 ( B.)
Step-by-step explanation:
f(x) = 5x-12
f(2)= 5(2)-12
=10-12
=-2
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Why is the sum of a rational number and an irrational number is always irrational?
The sum of a rational number and an irrational number is always irrational because it results in a non-terminating decimal.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as terminating decimals.Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational.
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The sum of a rational number and an irrational number always results in an irrational number because the rational number assumption yields a contradiction.
Why is the sum of a rational number and an irrational number is always irrational?Upon summing the two type of numbers, rational and irrational number, assuming the result upon rearrangement to be a rational number implies a contradiction.
Hence, the basic premise for the conclusion that the sum of a rational and an irrational number yields an irrational number is because, the other way round implies a contradiction.
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One milliliter of water has a mass of about one gram. What is the mass of one centiliter of water?
Answer:
10 grams
Step-by-step explanation:
since one centiliter is 10 milliliter, and 1 milliliter is one gram, then multiply 1 gram by 10 to find the answer.
If x = 5 when y = 45 find x when y = 270.
. The production function for a firm in the business of calculator assembly is given by where q denotes finished calculator e qutput a 2(k) ^1/3
, is a price-taker both for calculators (which sell for P ) and for k (which in a rental rate of v per hour). a rental rate of v per hour). a. What is the total cost function (C) for this firm? b. What is the supply function (i.e., MC) for assembled calculators [q(P,v)] ? Also find q, which you will use in c. c. What is the profit function ( π ) for this firm -stated as a function of the parameters "p" and " v" "? d. What is this firm's demand function for k[k(P,v)] ? e. Describe intuitively why the above functions (C, MC, π,k) have the form they do.
The total cost function considers the costs of labor and capital, the supply function determines the quantity supplied based on the production function, the profit function calculates the difference between revenue and cost, and the demand function for capital reflects the equilibrium between the marginal product of capital and the rental rate.
a. The total cost function (C) for this firm can be calculated by multiplying the cost of labor (w) with the number of hours of labor (L) and adding it to the cost of capital (r) multiplied by the quantity of capital (K).
So, C = wL + rK.
b. The supply function (MC) for assembled calculators [q(P,v)] can be found by taking the derivative of the production function with respect to q. In this case, MC = ∂q/∂k * ∂k/∂P.
To find q, you will need to substitute the given value of P and v into the production function.
c. The profit function (π) for this firm, stated as a function of the parameters "P" and "v", can be calculated by subtracting the total cost (C) from the revenue (P*q).
So, π = P*q - C.
d. The demand function for capital (k) can be obtained by equating the marginal product of capital (∂q/∂k) to the rental rate (v).
Solve for k to find the demand function for k.
e. The above functions (C, MC, π, k) have the form they do because they are derived from economic principles such as cost minimization, profit maximization, and the marginal productivity of inputs.
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Which graph doesn’t belong?
A. If f(x)=3x+Ž, what is f(-6)?
(?
JUST NEED THE BOTTOM ANWSER
Answer:
f(-6) = -21
Step-by-step explanation:
Substitute x = -6 into f(x):
f(-6) = 3(-6) + (-6 ÷ 2)
= -18 - 3
= -21
Given :
\(f(x) = 3x + \frac{x}{2} \)
Substituting -6 in x,
\(f( - 6) = 3 \times ( - 6) + \frac{ - 6}{2} \)
\( = > f( - 6) = (- 18) + (- 3)\)
\( = > f( - 6) = - (18 + 3)\)
\( = > f( - 6) = - 21\)
So, value of
\(f( - 6) = - 21\)
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QUESTION 5
Given the following two functions:
f(x)=x2+1 and g(x)=x+ 1, find (g+f) (-1)
Answer:
(g+f)(-1)=2
Step-by-step explanation:
f(x)x²+1
g(x)=x+1
(g+f)(x)= x+1+x²+1
(g+f)(-1)=(-1)+1(-1)²+1
(g+f)(-1)=(-1)+1+(-1)²+1
(g+f)(-1)=2
Hope this helps u! :)
Please Help 50 POINTS!!
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30
What is the explicit formula for this sequence?
-5, - 3, -1, 1, 3, ...
Answer:
\(a_n = -5 +(n-1)*2\)
Step-by-step explanation:
Step 1: Determine the variables
Initial number is -5
Increments of +2
Step 2: Create an explicit formula
\(a_n = initial+(n-1)*increment\)
\(a_n = -5 +(n-1)*2\)
Answer: \(a_n = -5 +(n-1)*2\)
Moates Corporation has provided the following data concerning an investment project that it is considering:
Initial investment $380,000
Annual cash flow $133,000 per year
Expected life of the project 4 years
Discount rate 13%
The net present value of the project is closest to:
a. $(247,000)
b. $15,542
c. $380,000
d. $(15,542)
The closest option to the calculated net present value is d. $(15,542).
To calculate the net present value (NPV) of the project, we need to discount the annual cash flows to their present value and subtract the initial investment.
Using the formula for the present value of a cash flow:
PV = CF / (1 + r)^n
Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
For the given data:
Initial investment = $380,000
Annual cash flow = $133,000 per year
Expected life of the project = 4 years
Discount rate = 13%
Calculating the present value of the annual cash flows:
PV = $133,000 / (1 + 0.13)^1 + $133,000 / (1 + 0.13)^2 + $133,000 / (1 + 0.13)^3 + $133,000 / (1 + 0.13)^4
PV ≈ $133,000 / 1.13 + $133,000 / 1.28 + $133,000 / 1.45 + $133,000 / 1.64
PV ≈ $117,699 + $104,687 + $91,724 + $81,098
PV ≈ $395,208
Finally, calculating the net present value:
NPV = PV - Initial investment
NPV ≈ $395,208 - $380,000
NPV ≈ $15,208
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point) We say a definite integral is improper if one is infinite, or if the is infinite.
A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.
In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.
For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.
To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.
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jake travels 6 hours for a total of 444 miles on 20 gallons of gas, rate for gallons and hours.
Answer: 5 gallons per hour.
Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)
\(\frac{30/6}{6/6}=\frac{5}{1}\)
Therefore, our answer is 5.
A man is three times as old as his son.In ten years time their combined ages will be 68 How old is each person
Answer:
22
Step-by-step explanation:
is 22 because 3 times 22 ut maie us 68
Answer:
Let Dad = Y, Son = X
Mathematically, from your statement:
Y = 3X, and (Y+10) + (X+10) = 68
Solving for X in 2nd equation, X = 48-Y
Insert this into first equation and solve for Y:
Y = 3(48-Y)
Y= 144 - 3Y
4Y = 144
Y = 36
Now, solve for X using either equation. I rearranged the 1st equation for X:
X = Y/3
X = 36/3 = 12
The boy is 12 and the dad is 36
Step-by-step explanation:
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consider a sample with a mean of 500 and a standard deviation of 100. what are the z-scores for the following data values: 560, 690, 500, 470, and 290? z-score for 560 incorrect: your answer is incorrect. z-score for 690 z-score for 500 z-score for 470 z-score for 290
The z-scores for the data values 560, 690, 500, 470, and 290 are 0.6, 1.9, 0, -0.3, and -2.1, respectively.
To calculate the z-scores for the given data values, we use the formula:
z = (x - μ) / σ
where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation.
Mean (μ) = 500
Standard deviation (σ) = 100
Let's calculate the z-scores for each data value:
For x = 560:
z = (560 - 500) / 100 = 0.6
For x = 690:
z = (690 - 500) / 100 = 1.9
For x = 500:
z = (500 - 500) / 100 = 0
For x = 470:
z = (470 - 500) / 100 = -0.3
For x = 290:
z = (290 - 500) / 100 = -2.1
Therefore, the z-scores for the given data values are:
560: 0.6
690: 1.9
500: 0
470: -0.3
290: -2.1
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Complete Question:
Consider a sample with a mean of 500 and a standard deviation of 100. what are the z-scores for the following data values: 560, 690, 500, 470, and 290?
Romina had 90 cabbage seedlings. She planted 19 seedlings in each of the 3 rows. How many seedlings were left to be planted?
1. )What is asked in the problem?
A. total seedlings to be planted
B. total seedlings planted in 3 rows
C. number of seedlings in each row
D. number of seedlings left to be planted
2. )What are the given facts?
A. 19 cabbage seedlings
B. 90 cabbage seedlings, 3 rows
C. 19 cabbage seedlings, 3 rows
D. 90 cabbage seedlings, 19 seedlings, 3 rows
3. )What operations should be used to solve the problem? A. Subtraction C. Multiplication
B. Multiplication and Subtraction D. Addition and Division
Answer:
1. D
2. D
3. B
Step-by-step explanation:
The question asks "how many seedlings were left to be planted?" so the answer is D.
The given facts are listed in the problem, 90 cabbage seedlings, 19 seedlings in each 3 rows.
You have to figure out how many seedlings are planted, which is 19 seedlings x 3 rows = 57 already planted. You then subtract that from total seedlings she has which is 90 - 57 = 33 seedlings left to be planted. This means you use multiplication AND subtraction so B.
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Need help with this I need the value of x
You will need a graduated scale and you measure.. it will be something like x ≈ 5.2 or 5.3 approximately
You can see in the picture below what you need to find. It is the red point in the picture
Good luck
i’m putting my faith in you guys my course ends tommorow
Answer:
A
Step-by-step explanation:
distribute 3 to 4x+2 --> 12x + 6 = 8x + 24 - 2x
combind like terms --> 12x + 6 = 6x + 24
subtract 6 from both sides --> 12x +6 -6 = 6x + 24 - 6 --> 12x = 6x + 18
subtract 6x from both sides --> 12x - 6x = 6x -6x +18 --> 6x = 18
divide both sides by 6 to get what x equals --> x = 3
si 409 es el 100%, cuanto porciento es 220?
Answer:
53.79%
Step-by-step explanation:
A. 4.5
B. 2.25
C. 6
D. 3
Answer:
XU is horizontal
Step-by-step explanation:
It's going across
Answer:
C. 6
Step-by-step explanation:
work out the reciprical of 3.5
Answer:
\(\frac{2}{7}\)
Step-by-step explanation:
3.5 = \(\frac{7}{2}\)
swap the numerator and denominator (flip the fraction):
reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(Girl | K-name)
Answer:
2/3
The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.
Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:
P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3
Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.
In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).
We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.
The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.
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Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
What are not changed after a rotation
Answer: b
Step-by-step explanation:
For work, you can wear a red or blue shirt, and black or khaki pants. You own 5 red shirts, 3 blue shirts, 3 pair of black pants and 4 pair of khaki pants. Let R = red shirt and B = black pants. Find image What is the probability of wearing a red shirt and black pants
Answer:
8/16
Step-by-step explanation:
A cylinder is shown. Which could be the base shape of the cylinder? line non-square rectangle circle square
Answer: I believe the correct answer from the choices listed above is the third option. The base shape of a cylinder would be circle. A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface.
Hope this answers the question. Have a nice day.
The base shape of the cylinder is a circle, the correct option is D.
What is a Cylinder?A cylinder is a three dimensional figure made up of parallel circular discs.
The best shape of the base of a cylinder can be a circle only.
The cylinder has two circular bases as the surface joining the two bases is curved and has the same radius as the base.
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Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3
Step-by-step explanation:
4/7÷21/3
=4/7*3/21
=12/147
Answer:
\(\frac{12}{49}\)
Step-by-step explanation:
Given
\(\frac{4}{7}\) ÷ 2 \(\frac{1}{3}\) ← change mixed number to improper fraction
= \(\frac{4}{7}\) ÷ \(\frac{7}{3}\)
To perform the division
Leave the first fraction. change division to multiplication and turn the second fraction upside down.
= \(\frac{4}{7}\) × \(\frac{3}{7}\) ← multiply numerators/ denominators together
= \(\frac{4(3)}{7(7)}\)
= \(\frac{12}{49}\)
What is the solution set to the inequality?
Answer:
Option (2)
Step-by-step explanation:
To find the solution set of the given inequality we will follow the following steps.
1). Convert the inequality into an equation.
2). Find the solutions from the equation.
3). Check these solutions and intervals on a number line.
Given inequality is 5(x - 2)(x + 4) > 0
Step 1. Equation for given inequality is,
5(x - 2)(x + 4) = 0
Step 2. Solutions for the given equation will be,
(x - 2) = 0 ⇒ x = 2
(x + 4) = 0 ⇒ x = -4
Step 3. Therefore, there will be two critical points on the number line,
x = 2, x = -4
Now we will check the solutions of the given inequality in the given intervals,
x < -4, -4 < x < 2 and x > 2
For x < -4,
Let the solution is x = -5
5(x + 4)(x - 2) = 5(-5 + 4)(-4 - 2)
= 30 > 0
Therefore, x < -4 will be the solution area of the inequality.
For -4 < x < 2,
Let the solution is x = 0
5(x + 4)(x - 2) = 5(0 + 4)(0 - 2)
= -40 < 0
Therefore, -4 < x < 2 will not be the solution set for the given inequality.
For x > 2,
Let the solution is x = 3
5(x + 4)(x - 2) = 5(3 + 4)(3 - 2)
= 35 > 0
Therefore, x > 2 will be the solution area of the inequality.
Summarizing all steps we find that the solution set of the inequality is,
{x | x < -4 Or x > 2}
Option (2) will be the answer.
____the transformation is an example of a translation because the figure slides in one direction, but does not flip, turn, or change size.
The transformation is an example of a translation because the figure slides in one direction, but does not flip, turn, or change size.
Now, According to the question:
Type of Transformation:
There are four types of transformation in geometry, namely translation, reflection, rotation, and dilation. In translation, it slides the figure in any direction while in reflection, it flips the figure over a point or a line. Also, in rotation the figure turns, while in dilation the figure is either enlarged or reduced.
The type of transformation can be defined as moving a figure to a new location, without any change in the figure's size or shape being called translation. In translation, the figure merely slides or moves in the same direction and distance.
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How do you know if a curve is positive or negative?
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.