There are 25 questions in a quiz, every correct answer scores 3 points, every incorrect answer loses 2 points, A question not answered scored 0 points, is it possible to finish the quiz with a negative score, a) what is the maximum score you could get on the quiz? b) what is the minimum score you can get on the quiz? c) A student answers 15 questions 10 are correct how many points does he score? d) another student answer is 21 questions six or correct how many points does she score?

Answer:

J'(7,-4), K'(-7,-1), L'(-2,2)

Step-by-step explanation:

reflection over x-axis: (x,y) --> (x,-y)

reflection over y-axis: (x,y) --> (-x,-y)

Because the triangle is reflected x-axis and then y-axis,

all points would be (x,y) --> (-x,-y)

Answer:

267 slices of pizza

Step-by-step explanation:

16 x 6 = 276

276 - 9 = 267

Answer!

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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Step-by-step explanation:

5 people.

how many ways can they line up in general ?

5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :

5×4×3×2×1 = 5! = 120 ways.

but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.

and none of the boys should ever be at one of the ends.

so, we actually have only

2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.

in total

2×1×3×2×1 = 12

under these constrictions they have actually only 12 different ways to line up.

By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.

To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.

The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.

Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.

This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.

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Answer:

The answer is B

The answer is B

Step-by-step explanation:

The slope of the solid line is positive

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (5,0)

The slope of the dashed line is negative

The y-intercept of the solid line is (0,4)

The x-intercept of the solid line is (4,0)

Using the master theorem, the Θ-class are: a) T(n) = Θ(n)b) T(n) = Θ(n) and c) T(n) = Θ(√n log n).

a) T(n)=2T(n/2)+n³

To find the Θ class of T(n), we need to apply the Master Theorem. In the Master Theorem, if T(n) = aT(n/b) + f(n) where a >= 1, b > 1, and f(n) is an asymptotically positive function, then:

T(n) = Θ(nᵈ)

where d = logₐ(b).

Here a = 2, b = 2 and f(n) = n³.

So, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

b) T(n)=2T(n/2)+3n−2

Similarly to part (a), we can find the Θ class of T(n) by using the Master Theorem.

In this case, a = 2, b = 2 and f(n) = 3n - 2.

Here, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

c) T(n)=4T(n/2)+nlogn

For this recurrence relation, a = 4, b = 2 and f(n) = nlogn.

In this case, d = log₄(2) = 0.5.

So,

T(n) is

= Θ(nᵈ)

= Θ(n⁰.⁵)

= Θ(√n log n)

Therefore, the Θ class of T(n) is Θ(√n log n).

Hence, the correct options are:a) T(n) = Θ(n)b) T(n) = Θ(n)c) T(n) = Θ(√n log n).

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Answer:

k

Step-by-step explanation:

The expression f(a+h)−f(a)/h for the function f(x)=2x^2−12x+5 simplifies to 4a−12+h.

To simplify the expression f(a+h)−f(a)/h, we first need to evaluate f(a+h) and f(a).

Substituting a+h into the function f(x), we get f(a+h) = 2(a+h)^2−12(a+h)+5. Expanding and simplifying this expression gives f(a+h) = 2(a^2 + 2ah + h^2) − 12a − 12h + 5.

Next, we substitute a into the function f(x), which gives f(a) = 2a^2−12a+5.

Now, we can simplify the expression by substituting these values back into f(a+h)−f(a)/h. We have:

f(a+h)−f(a)/h = (2(a^2 + 2ah + h^2) − 12a − 12h + 5 − (2a^2−12a+5))/h.

Simplifying the numerator by distributing the 2, we get:

f(a+h)−f(a)/h = (2a^2 + 4ah + 2h^2 − 12a − 12h + 5 − 2a^2 + 12a − 5)/h.

Combining like terms, we can simplify further:

f(a+h)−f(a)/h = (4ah + 2h^2 - 12h)/h.

Finally, factoring out an h from the numerator, we obtain:

f(a+h)−f(a)/h = h(4a - 12 + 2h)/h.

Canceling out the h terms, we arrive at the simplified expression:

f(a+h)−f(a)/h = 4a - 12 + 2h.

Therefore, the expression f(a+h)−f(a)/h simplifies to 4a - 12 + 2h.

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Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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To round to the nearest tenth, we can say that a cell phone's battery life is typically 2 hours after two years.

Generally speaking, the battery life of a cell phone will depend on the type of phone and usage habits. Most cell phones will last about 18-24 months before needing to be replaced.

The battery life of a cell phone is determined by a variety of factors, including battery capacity, phone usage habits, and battery age. We can, however, make certain assumptions and calculate how long it would take for a common mobile phone battery to decline to 2 hours of battery life.

Considering that a typical lithium-ion battery, which is often used in mobile phones, has a capacity of approximately 3,000 mAh when new and that its capacity drops by roughly 20% after 2-3 years of usage, we may estimate that the battery capacity would be around 2,400 mAh after 2-3 years.

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Answer:

To draw the missing sides of the trapezoid so that the midsegment has a length of 9 units, you can follow these steps:

Plot the given base segment connecting points (-1,5) and (5,5) on a coordinate plane.

Find the midpoint of the given base segment using the midpoint formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the given base segment.

Plot the midpoint found in step 2 on the coordinate plane as the midpoint of the midsegment. Label it.

Draw two perpendicular lines from the midpoint found in step 2, each extending towards the other base of the trapezoid.

The intersection points of the perpendicular lines with the other base of the trapezoid will be the vertices of the missing sides.

Connect the vertices of the missing sides with the endpoints of the given base segment to complete the trapezoid.

Note: The specific length and orientation of the missing sides will depend on the location of the midpoint and the given base segment. There can be multiple valid trapezoids with a midsegment of length 9 units that connect the given bases at the midpoint.

Step-by-step explanation:

Given equation is:

Solving for x,

Therefore,

x= 13/k

Hence, option (C) is true.

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

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Answer:

I got B or number 2

Step-by-step explanation:

Answer

(5-5)x

Step-by-step explanation:

the rest of the equal -5(x-1) and this one equals 0

so D

Answer:

B

Step-by-step explanation:

We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as

2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3

Comparing this with each answer, we have

A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct

B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure

C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect

D: \(\frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3\). This is incorrect

Answer:

C. 2(x + 10)(x - 10)

Step-by-step explanation:

2x^2-200\\2(x^2-100)\\2(x+10)(x-10)

Answer:

1/3

Step-by-step explanation:

Answer would be B, 1/3.

Answer:

sorry I also dont understand

Answer:

9 days

Step-by-step explanation:

First, write the equation for Daniel's situation:

D = 17t + 49

Then, write the equation for Audrey's situation:

A = 20t + 22

Then, set these equations equal to each other and solve for t to find when they will be on the same page:

17t + 49 = 20t + 22

Solve for t:

17t + 49 = 20t + 22

49 = 3t + 22

27 = 3t

9 = t

So, they will be on the same page 9 days into the month.

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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The function has global maxima on the sets [-2, 1]. Then the correct option is B.

The domain means all the possible values of x and the range means all the possible values of y.

A function is an assertion, concept, or principle that establishes an association between two variables.

The rational function is given below.

f(x) = 1 / (1 + x²)

The maximum value of the function at x = 0 is given as,

f(0) = 1 / (1 + 0²)

f(0) = 1 / 1

f(0) = 1

The value of the function at x = ∞ is given as,

f(∞) = 1 / (1 + ∞²)

f(∞) = 1 / ∞

f(∞) = 0

The value of the function at x = - ∞ is given as,

f(-∞) = 1 / (1 + (-∞)²)

f(-∞) = 1 / ∞

f(-∞) = 0

The function has global maxima on the sets [-2, 1]. Then the correct option is B.

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Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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Answer: 0.75

Step-by-step explanation: Each term will divide by 2 and the quotient is the next term

24/2 = 12

12/2 = 6

6/2 = 3

3/2 = 1.5

1.5 / 2 = 0.75

Answer:

what

Step-by-step explanation:

I mean 2 + 2 is 4 but why is this a question

Answer:

subsitute x for 20 then subsitute z of 7 then solve.

Step-by-step explanation:

Answer:

\(\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h\)   or  10.42 = h

Step-by-step explanation:

The area of a trapezoid is \(A = \frac{1}{2}h(b_{1} + b_{2} )\).

\(200 = \frac{1}{2}h(10\sqrt{2} + 14\sqrt{3})\)

\(400 = { h(10\sqrt{2} + 14\sqrt{3} )\)             Multiply both sides by 2

\(\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h\)

 \(\frac{400}{38.39} = h\)

10.42 = h