Select the correct answer from each drop-down menu.
Consider absolute value function f.
f(x) = -2/3|x + 4|
The vertex of the function is a (minimum, maximum)
at (-4,0) (0,-4) (0,4) (4,0)

A straight line PPF indicates constant opportunity costs in production is TRUE.

The Production-Possibility Frontier (PPF) is a graphical representation of the maximum amount of two goods that can be produced given a certain number of resources.

If the PPF is a straight line, then the opportunity cost of producing an additional unit of one good is the same regardless of how much of that good is already being produced. This means that the resources used to produce the two goods are perfectly substitutable and there are no increasing opportunity costs.

However, if the PPF is a curved line, then the opportunity cost of producing an additional unit of one good increase as more of that good is produced. This is because the resources used to produce the two goods are not perfectly substitutable and there are increasing opportunity costs.

Learn more about PPF and Opportunity Cost here: brainly.com/question/28433459

#SPJ11

Answer:

9. Inside

10. Outside

Step-by-step explanation:

- For an acute triangle, the orthocenter lies inside the triangle.

- For the obtuse triangle, the orthocenter lies outside the triangle.

- For a right triangle, the orthocenter lies on the vertex of the right angle.

By graphing, you can see that the first one is an acute triangle. This means the orthocenter is inside the triangle.

By graphing, you can see that the second one is an obtuse triangle. This means the orthocenter is outside the triangle.

You can see a picture of the graph below.

*Note: if you want to know how to find whether its acute, obtuse, or right without graphing I can help with that too

the green triangle is the first one

the red triangle is the second one

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = \(\frac{1}{2}\)bh.

b = base

h = height

A = \(\frac{1}{2}\)(6)(8)

A = 24

Answer:

\(24\)

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

The probability that the sample mean would be greater than 148.6 millimeters is 0.017

The spread of all the data points in a data collection is taken into account by the variance, which is a measure of dispersion.

Given  Population mean μ= 147

Population Variance σ^2 = 25

So, population SD = 5

Size of sample = n = 44 Sample mean = x

To find P( y > 148.6) :

SE =σ/√n =

5/√44= 0.7538

Transforming to Standard Normal Variate:

Z = (x - μ )/SE    

= (148.6 - 147)/0.7538    

= 2.1226

From Table of Area Under Standard Normal Curve, corresponding to Z = 2.1226, area = 0.4830.

So, required probability = 0.5 - 0.4830 = 0.017

The probability that sample mean would be greater than 148.6 millimeters is 0.017

To learn more about variance visit

https://brainly.com/question/23273214

#SPJ4

Answer:

C.

Step-by-step explanation:

the ratio is 1:2

so,

\(4*2=8\\7*2=14\\1*2=2\)

the only shape with those numbers is C

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

The measure of the other leg of the right triangle is equal to 8 cm.

Given the following data:

To find the measure of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula;

\(Hypotenuse^2 = opposite^2 + adjacent^2\)

Substituting the given parameters into the formula, we have;

\(10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}\)

Opposite = 8 cm

Read more: https://brainly.com/question/14930619

Answer:

5.35

Step-by-step explanation:

9-3.65=5.35

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

Learn more about expressions here:

https://brainly.com/question/1859113

#SPJ1                      

Answer:2

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

1) \(\frac{3}{2} \\\) = 1.5 because the numerator goes int the denominator 1 time and then you ahve left over \(\frac{1}{2}\) which is .5 .

2) \(\frac{5}{2}\) = 2.5 because the 5 goes into the denominator 2 times and then you have left over .5 .

3) \(\frac{1}{4}\) = .25 because a 1 is divided by 4.

4) \(\frac{1}{2}\) = .5 ; a 1 is divided by 2

5) \(\frac{3}{4}\) = .75 because you have .25 x 3 .

6) \(\frac{1}{5}\) = .2 because it is 1 divided by 5

7) 0.04 + 4.1 = 4.14

8) 6.93 - 1.2 = 5.73

The need to survey 26,304 freshmen to cut the margin of error in half.

a) To cut the stated margin of error in half, the sample size must be quadrupled.

The formula for the margin of error in a proportion is:

Margin of error = z* (sqrt(p*q/n))

where z is the z-score corresponding to the desired level of confidence, p is the proportion of interest (74% in this case), q = 1-p, and n is the sample size.

If we want to cut the margin of error in half, we need to solve the equation above for n, keeping all other variables constant.

Assuming a 95% confidence level and the proportions observed in the original study, we have:

Margin of error = 1.96 * sqrt(0.74 * 0.26/n)

If we want to cut the margin of error in half, we need to solve for n in the following equation:

1.96 * sqrt(0.74 * 0.26/n) = 1.96 * sqrt(0.74 * 0.26/4n)

Simplifying this equation, we get:

n = 16*1644=26,304

Therefore, we would need to survey 26,304 freshmen to cut the margin of error in half.

b) Yes, there are some concerns about this sample. Quadrupling the sample size will increase the precision of the estimate, but it may also increase the cost and the potential for nonresponse bias or other sources of error. Moreover, the original study was already stratified by type of college, which suggests that ACT, Inc. may be interested in analyzing the data at this level of disaggregation. In that case, a sample of 26,304 students may not be feasible or necessary. Finally, it's important to consider the representativeness of the sample and potential sources of bias, such as the sampling method, the response rate, or the exclusion of certain types of colleges or students.

Learn more abut Freshmen

brainly.com/question/1786030

#SPJ11

The sum of 5x and x as given in the question is 6x

Given the following expression

5x + x

We are to take the sum and this is given as:

5x + x  = (x+x+x+x+x) + x

5x + x = 6x

Hence the sum of 5x and x as given in the question is 6x

Learn more on sum of function here: https://brainly.com/question/24205483

The main answer is false. The statement "MRSy->x at the point (x= 1,y= 1) of the utility function U(x,y) = 2xy4 is -0.25" is false. Here's why: MRS is the marginal rate of substitution, which indicates the amount of a product a consumer is willing to replace for another.

The formula for the MRS is MRSy->x = MUx/MUy, where MU stands for marginal utility, x stands for the quantity of one good, and y stands for the quantity of another good. At the point (x= 1,y= 1) of the utility function U(x,y) = 2xy4, the partial derivatives of U with respect to x and y are as follows:

∂U/∂x = 2y4∂U/∂y = 8xy3Therefore, the marginal utility of x (MUx) at this point is:

MUx = ∂U/∂x = 2y4 = 2(1)4 = 2

The marginal utility of y (MUy) at this point is:MUy = ∂U/∂y = 8xy3 = 8(1)(1)3 = 8Therefore, the MRSy->x is:MRSy->x = MUx/MUy = 2/8 = 0.25Therefore, the main answer is false, as the MRSy->x at the point (x= 1,y= 1) of the utility function U(x,y) = 2xy4 is 0.25, not -0.25. We're given a utility function U(x,y) = 2xy4, and we're asked to find the MRSy->x at the point (x= 1,y= 1) of this function. To find the MRSy->x, we need to compute the marginal utility of x (MUx) and the marginal utility of y (MUy) at this point and then calculate their ratio (MRSy->x = MUx/MUy). The formula for MU is the partial derivative of U with respect to the corresponding variable, so we need to compute the partial derivatives of U with respect to x and y:∂U/∂x = 2y4∂U/∂y = 8xy3

Next, we evaluate these partial derivatives at the point (x= 1,y= 1):∂U/∂x = 2(1)4 = 2∂U/∂y = 8(1)(1)3 = 8Hence, MUx = 2 and MUy = 8, so:MRSy->x = MUx/MUy = 2/8 = 0.25Therefore, the MRSy->x at the point (x= 1,y= 1) of the utility function U(x,y) = 2xy4 is 0.25, not -0.25. In conclusion, the main answer is false.

To know more about utility function visit:

brainly.com/question/30652436

#SPJ11

Answer:

x = 6

Step-by-step explanation:

cause you need to add 10 and 3 and then divide both sides by 4

Answer:

10

Step-by-step explanation:

if A is parallel to B then 4x must be equal to 3x + 10

4x = 3x + 10

4x - 3x = 10

x = 10

Answer:

Step-by-step explanation:

the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be  3n

where n is the number.

IN the answer of the question you would have to explain something like this:

Let n be the number. The product then is  3n

The reason for this is that you could also let n stand for the number, in which case the answer would be 3n

.                                                                        

Answer:

-16

Step-by-step explanation:

x/-2 = 8

cross multiply.

-2(-2) = 0 (because you're cross multiplying)

8(-2) = -16

x= -16

Answer:

X = -16

Step-by-step explanation:

X / (-2) = 8

Multiply both sides by -2 and you get:

X = -16

The proportional relationship that represents the cost of x hours at Wilma's Drop-off Child Care service is given as follows:

y = 7.5x.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

From the graph, we have that when x = 4, y = 30, hence the constant is obtained as follows:

4k = 30

k = 30/4

k = 7.5.

Then the equation is defined as follows:

y = 7.5x.

More can be learned about proportional relationships at https://brainly.com/question/7723640

#SPJ1

Answer:

y > -5x + 3

Step-by-step explanation:

Answer:

y > –5x + 3

Step-by-step explanation:

we know that

1) The solution of the inequality is the shaded area above the dashed line

so

The linear inequality could be

y > –5x – 3

y > –5x + 3

y > –3x + 5

2) The slope of the dashed line is negative ----> the three options have slope negative

3) The y-intercept of the dashed line is (0,3)

therefore

The linear inequality is

y > –5x + 3

...............................................................................................................................................

Answer:

Step-by-step explanation:

To find the linear inequality , Let pick two points from the graph

Lets pick (0,3) and (1,-2)

Lets find out slope using the points

Slope m= -5

y intercept b= 3

Equation of the line is y=mx+b

Now we look at the shaded part. we use test point (0,0)

(0,0) is not in the shaded region

0 >3 is false

Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

learn more about anti-reflexive here

https://brainly.com/question/33443083

#SPJ11

Hey there!

(8x - 4) + (-2x + 3)

= 8x - 4 + (-2x) + 3

= 8x - 4 - 2x + 3

COMBINE the LIKE TERMS

= (8x - 2x) - (4 + 3)

= 8x - 2x - 4 + 3

= 6x - 1

Therefore, your answer is: 6x - 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

To know more about Drug,

https://brainly.com/question/4896605

#SPJ11

The surface area of the rectangular prism is 188 square units.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

Surface Area = 2lw + 2lh + 2wh

Where w is the width, h is height and l is length

From the diagram:

Length l = 7 units

Width w = 4 units

Height h = 6 units

Plug these values into the above formula and solve for the surface area.

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(7 × 4) + 2(7 × 6) + 2(4 × 6)

Simplifying the calculation:

Surface Area = 56 + 84 + 48

Surface Area = 188 square units

Therefore, the surface area equals 188 square units.

Learn more about prisms here: https://brainly.com/question/9796090

#SPJ1

Answer:

$100

Step-by-step explanation:

Given data

Principal = 500

Interest= 5%

Time = 4years

Applying the simple interest expression

SI= PRT/100

substitute

SI= 500*5*4/100

SI= 10000/100

SI= 100

Hence the interest after 4 years is $100

Answer:

$96.15

Step-by-step explanation:

Given data

markup = 30%

cost price= $125

let the cost price before markup be x

125-30/100*x= x

125-0.3x= x

125= x+0.3x

125= 1.3x

divide both sides by 1.3

x= 125/1.3

x= $96.15

Hence the price before markup is $96.15

Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

The exact value of the given expression. sin 2 cos−1 12 13 is 240/169.

To find the exact value of the given expression, we need to use the identity sin(2θ) = 2sin(θ)cos(θ) and the information provided. The expression you want to find is sin(2 * cos^(-1)(12/13)).

First, let's find the angle θ, which is cos^(-1)(12/13). In a right triangle with the adjacent side = 12 and hypotenuse = 13, we can use the Pythagorean theorem to find the opposite side: Opposite side = √(13^2 - 12^2) = √(169 - 144) = √25 = 5

Now, we can find sin(θ) and cos(θ): sin(θ) = opposite/hypotenuse = 5/13 cos(θ) = adjacent/hypotenuse = 12/13 Next, use the sin(2θ) identity: sin(2θ) = 2sin(θ)cos(θ) = 2(5/13)(12/13) = (10/169)(24) = 240/169 So, the exact value of the given expression is 240/169.

Visit here to learn more about the Right Triangle:

brainly.com/question/2437195

#SPJ11

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

To know more about abscissa visit:

brainly.com/question/32034993

#SPJ11

The probability that the average final exam grade of the sample is between 75 and 80 is approximately 0.294, or 29.4%.

To solve this problem, we need to calculate the z-scores for the lower and upper bounds of the average final exam grade range, and then use the z-scores to find the corresponding probabilities from the standard normal distribution.

First, let's calculate the z-score for the lower bound:

z1 = (75 - 81.2) / (6.95 / sqrt(42))

z1 = -6.2 / (6.95 / sqrt(42))

z1 ≈ -2.512

Next, let's calculate the z-score for the upper bound:

z2 = (80 - 81.2) / (6.95 / sqrt(42))

z2 = -1.2 / (6.95 / sqrt(42))

z2 ≈ -0.528

Now, we can use the z-scores to find the corresponding probabilities using a standard normal distribution table or a calculator.

The probability that the average final exam grade of the sample is between 75 and 80 is equal to the probability of having a z-score between z1 and z2.

P(z1 < Z < z2) = P(-2.512 < Z < -0.528)

By looking up the probabilities corresponding to these z-scores from a standard normal distribution table or using a calculator, we find:

P(-2.512 < Z < -0.528) ≈ 0.294

Know more about probability here;

https://brainly.com/question/31828911

#SPJ11