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2x + 1 =23
10
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N 48-3 = 17
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6x + 3 = 15
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- 4x + 6 = -30
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3r + 30 =
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2x +8= -16
8x - 18 = 30
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8x - 8 =
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- 9x - 35 = 10
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-x+1=0
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7

Answer: All you need to do is differentiate wrt x and equate to zero. The solutions are either maxima or minima.

Given expression = 2x^3 - 3x^2 - 12x +18

Differential wrt x = 6x^2 - 6x - 12 = 0       At the extrema points, the slopes of the function are zero.

The solutions are x=2 and x=-1 each of which are either maxima or minima.

To find out which is maximum and which is minimum, differntiate again wrt x

2nd Differential = 12x-6.

Now at x=2, 12x-6 is positive, so the minimum is here = 2(8)-3(4)-12(2)+18 = -2

At x=-1, 12x-6 is negative, so the maximum is here = 2(-1)-3(1)-12(-1)+18 = 25

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

m=3

y(-2/3, 2)

Step-by-step explanation:

(A)

\(\dfrac{\partial f}{\partial x}=-16x+2y\)

\(\implies f(x,y)=-8x^2+2xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\)

\(\implies g(y)=5y^2+C\)

\(\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}\)

(B)

\(\dfrac{\partial f}{\partial x}=-8y\)

\(\implies f(x,y)=-8xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x\)

\(\implies \dfrac{\mathrm dg}{\mathrm dy}=x\)

But we assume \(g(y)\) is a function of \(y\) alone, so there is not potential function here.

(C)

\(\dfrac{\partial f}{\partial x}=-8\sin y\)

\(\implies f(x,y)=-8x\sin y+g(x,y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=4y\)

\(\implies g(y)=2y^2+C\)

\(\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}\)

For (A) and (C), we have \(f(0,0)=0\), which makes \(C=0\) for both.

The solution is,  A'n (BUC')= {a}

A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.

here, we have,

You want the set A'∩(B∪C') given the definitions of each of the sets U, A, B, C.

Inverse sets

The inverse of a set is the set of elements of the universal set that are NOT in the given set.

 A' = {a, b, c, d, e, f, g, h} - {f, g, h} = {a, b, c, d, e}

 C' =  {a, b, c, d, e, f, g, h} - {a, b, c, d, e} = {f, g, h}

Union

The union of two sets is the list of elements in either of the two sets.

B∪C' = {a, g, h} +{f, g, h} = {a, f, g, h}

Intersection

The intersection of two sets is the list of elements common to both:

A'∩(B∪C') = {a, b, c, d, e} ∩ {a, f, g, h} = {a}

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Answer:

Yes, I agree

It is $80

Answer:38

Step-by-step explanation:just cause its correct

The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.

Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,

We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,

y-0 = -2-0 / 4-0 (x-0)

y = -1/2(x)

y = -x/2

Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

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Answer:

The Emperor Hotel in Bangkok has the higher z-score, so it is more expensive compared to other hotels in its city.

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The most expensive hotel has the higher z-score. So

Emerald Hotel in Moscow:

Costs $200, which means that \(X = 200\)

The average hotel price in Moscow is $216 per night with a standard deviation of $32, which means that \(\mu = 216, \sigma = 32\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{200 - 216}{32}\)

\(Z = -0.5\)

Ocean View Hotel in Cancun

Costs $183, which means that \(X = 183\).

The average hotel price in Cancun is $161 per night with a standard deviation of $22, which means that \(\mu = 161, \sigma = 22\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{183 - 161}{22}\)

\(Z = 1\)

Emperor Hotel in Bangkok

Costs $120, which means that \(X = 120\).

The average hotel price in Bangkok is $100 per night with a standard deviation of $17, which means that \(\mu = 100, \sigma = 17\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{120 - 100}{17}\)

\(Z = 1.18\)

The Emperor Hotel in Bangkok has the higher z-score, so it is more expensive compared to other hotels in its city.

Answer:

4D - 1

Step-by-step explanation:

So, if Ted saves $D for 4 weeks, then this amount will be equal to 4D because multiplication is simply repeated addition. We can imagine this situation as D+D+D+D, for the 4 weeks he is saving. We can simplify this to 4D in the expression.

Next, the question tells us that this will be 1 dollar more than needed. So, if we want to find the cost, we need to subtract that dollar.

Thus, the final expression is 4D - 1 because this represents 1 dollar less than the money he saves for 4 weeks.

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

We know length of one quarter of a circle = 2πr/4 = πr/2

So here we can make the equation for to find thr value of radius r

length of one quarter given = 25 cm

so πr/2 = 25 cm

=> πr = 50 cm

=> r = 50/π cm

So the entire circumference of circle =

2πr

= 2 π 50/π cm

= 100π/π cm (ans)

Here we dont substitute the value of π due to represent the answer in terms of pi.

Hope it helps you

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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Answer:

i dont really understand this question though but ill try. Ok so 50 times, to say this you would have to take a number then multiply that number by 50 and you would get your answer. but this is the only way i think you could say 50 is  times as much as.

Step-by-step explanation:

I hope this helped you in some way or form. :)

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

75°

105°

Step-by-step explanation:

Two co-interor= 180°

5+7= 12

ratio12= 180°

{find the other ratios, 5 and 7)

12=180°

5×180÷12 = 75°

To find 7, just subtract 180-75= 105°

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Evaluating the function in the given values we will see that the correct option is the first one.

g(1) = 2.2966; g(2) = 14.8932

Here we want to evaluate the function below:

g(x) = 1.8x^3 − 0.0034x + 0.5

in x = 1 and x = 2.

To do so, wejust needto replace the variableby the correspondent number, then we will get:

g(1) = 1.8*1^3 − 0.0034*1 + 0.5 = 2.2966

Andthe other value is:

g(2) =1.8*2^3 − 0.0034*2 + 0.5 = 14.8932

Then the correct option is the first one:

2.2966; 14.8932

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The probability associated with the chi-square value of 0.023 in a chi-square test is the probability of obtaining the observed results, assuming that the expected results are true.

In other words, it is the probability of observing the deviation between the observed and expected values purely due to chance. A low probability value, such as 0.023, indicates that the deviation is unlikely to have occurred by chance, and suggests that there may be some other factor affecting the results of the genetic cross.

In this case, the researcher may reject the null hypothesis that the observed and expected values are in agreement, and conclude that there is a significant difference between the observed and expected values.

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Alternate exterior angles are ∠9 and (∠1 + ∠2)

Consecutive interior angles are ∠7 and ∠4

Consecutive exterior angles are ∠9 and ∠∠3

Vertical angles are ∠2 and ∠5

Linear pairs are ∠7 and ∠8

We have,

Alternate exterior angles: Pairs of angles on opposite sides of a transversal line, formed by two parallel lines, and located outside the intersected lines.

Consecutive interior angles: Pairs of angles on the same side of a transversal line, formed by two parallel lines, and located between the intersected lines.

Consecutive exterior angles: Pairs of angles on the same side of a transversal line, formed by two parallel lines, and located outside the intersected lines.

Vertical angles: Pairs of non-adjacent angles formed by the intersection of two lines, sharing the same vertex and having equal measures.

Linear pair: A pair of adjacent angles formed by the intersection of two lines, sharing a common side, and whose measures add up to 180 degrees.

So,

Alternate exterior angles

= ∠9 and (∠1 + ∠2)

Consecutive interior angles

= ∠7 and ∠4

Consecutive exterior angles

= ∠9 and ∠∠3

Vertical angles

= ∠2 and ∠5

Linear pair

= ∠7 and ∠∠8

Thus,

Alternate exterior angles are ∠9 and (∠1 + ∠2)

Consecutive interior angles are ∠7 and ∠4

Consecutive exterior angles are ∠9 and ∠∠3

Vertical angles are ∠2 and ∠5

Linear pairs are ∠7 and ∠8

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Answer:

Different Amount

Step-by-step explanation:

4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal

Answer:

See problem 1 below.

Step-by-step explanation:

Problem 1.

1. <A, <D

Given

2. <1, <3

Given

3. BC is congruent to BC

Congruence of segments is reflexive.

4. ABC, DBC

AAS

we have the equation

f(x)=x^4-2x^3-11x^2+12x+36

using a graphing tool

the factors are

(x+2) ----> multiplicity 2

(x-3) -----> multiplicity 2

therefore

option C

Answer:

62

Step-by-step explanation:

Answer:

The meal has 62 calories per serving.

Step-by-step explanation:

310/5=62

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

Answer: B, C, and E

Step-by-step explanation:

B and C are the same thing. And E will also work.

A will get you in the right quadrant, but the shape is wrong.

D will just get you back into the place you origianlly started at.

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable