Help me please i need the equation of axis of symmetry

Answer: No, it’s not

-5 is bigger add that to -2= -7

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Answer:

see below

Step-by-step explanation:

We can use the law of sines

sin 80             sin B

--------------- = -------------

31                       14

Using cross products

14 sin 80 = 31 sin B

14/31  sin 80 = sin B

.984807753 = sin B

Taking the inverse sin of each side

sin ^ -1 ( .444751888) =  B

26.41 = B

The sum of the angles of a triangle is 180

A+B+C = 180

80 + 26.41 + C =180

106.41 + C = 180

C = 73.59

We can use the law of sines to find c

sin 80             sin 73.59

--------------- = -------------

31                       c

c sin 80 = 31 sin 73.59

c =  31 sin 73.59 / sin 80

c = 30.20

AB = 30.20

Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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Answer:

85% - 85/100 - 0.85

Step-by-step explanation:

Answers:

a)  2710 kg/m³

b)  5149 kg

====================================================

Work shown for part a)

density = mass/volume

density = (6775 kg)/(2.5 m³)

density = (6775/2.5) kg/m³

density = 2710 kg/m³

-----------------------------------

Work shown for part b)

density = mass/volume

mass = density * volume

mass = (2710 kg/m³) * (1.9 m³)

mass = (2710*1.9) kg

mass = 5149 kg

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

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Answer:

600 centimeters. 1 meter is equal to 100 centimeters

The polynomial 3xA² is a linear monomial having one term and a degree one.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

There are many types of polynomials according to the number of terms they have.

If a polynomial has one term it is called a monomial, Has two terms called a binomial, and having three makes it a trinomial.

Given, A polynomial 3xA².

Now, The variable is 'x' and raised to the power of 1 so it is linear and consists of only one term so it is a monomial as 3 and A are constants.

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Answer:

It is just .55*12,400

Step-by-step explanation:

thats literally all it is

Answer:

If you Meant (12,400) then around 6,820 planned to travel again

Step-by-step explanation:

Alice and Bruno should look for an apartment at the location ((3 - √3) / 2, 1).

Alice and Bruno should look for an apartment at a location that minimizes the total walking distance to their respective workplaces, A (acrobatic park at coordinates (-√3, -1)) and B (bakery at coordinates (3, 3)). To find this ideal location, they can use the geometric concept of the "centroid" of a triangle formed by their workplaces and their apartment. The centroid minimizes the total distance between all three points. To calculate the centroid, take the average of the x-coordinates and the y-coordinates:
Centroid_x = (-√3 + 3) / 2 = (3 - √3) / 2
Centroid_y = (-1 + 3) / 2 = 1
Thus, Alice and Bruno should look for an apartment at the location ((3 - √3) / 2, 1).

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Answer:

88% of the free throws were made

Answer:

88%

Step-by-step explanation:

to find the percentage of free throws made, divide the number the player made, by the total number of shots.  88/100 equals 0.88

Multiply that decimal by 100 to get the answer in the form of a percentage.

Every planar graph without a triangle has a vertex of degree three or less, and all planar graphs without triangles are four-colorable.

In a planar graph, each vertex represents a point, and each edge represents a line segment connecting two points. A triangle in a graph is a cycle of length three, which means three vertices are connected in a closed loop. To prove that every planar graph without a triangle has a vertex of degree three or less, we can use the concept of the Handshaking Lemma.

The Handshaking Lemma states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges. In other words, if we add up the degrees of all vertices in a graph and divide the result by 2, we obtain the total number of edges in the graph.

Now, let's assume that every vertex in a planar graph without a triangle has a degree greater than three. If that were the case, the sum of degrees of all vertices would be at least 4 times the number of vertices (since each degree is greater than 3). However, in a planar graph, the number of edges is at most 3 times the number of vertices (known as Euler's formula).

This leads to a contradiction because the sum of degrees would be greater than twice the number of edges, which violates the Handshaking Lemma.

Therefore, there must exist at least one vertex in the planar graph with a degree of three or less. This vertex can be removed, along with its incident edges, without creating any triangles. By repeating this process, we can eventually remove all vertices with degrees greater than three, resulting in a graph where every vertex has a degree of three or less.

Now, let's prove that all planar graphs without triangles are four-colorable without using the four-color theorem. A four-coloring of a graph is an assignment of one of four colors to each vertex, such that no two adjacent vertices have the same color.

Since we have established that every planar graph without a triangle has a vertex of degree three or less, we can start by selecting a vertex with degree three or less and assign it a color. Then, we move to the next vertex and color it with a different color.

Since the graph is planar, each vertex has at most three neighbors, and since we have already colored its neighbors, we can always find a color that is different from its neighbors' colors. By repeating this process for each vertex in the graph, we can ensure that no two adjacent vertices have the same color, resulting in a valid four-coloring.

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The volume of the pyramid is 3.5 cubic centimeters.

The volume of a pyramid can be calculated using the formula:

V = (1/3) * Base area * Height

Where Base area is the area of the base of the pyramid, and Height is the distance from the base to the apex of the pyramid.

Given that the area of the base of the pyramid is 4.6 cm^2 and the height of the pyramid is 2.3 cm, we can substitute these values into the formula and solve for the volume:

V = (1/3) * 4.6 cm^2 * 2.3 cm = 3.53 cm^3

So the volume of the pyramid is 3.53 cubic centimeters. Rounded to the nearest tenth of a cubic centimeter, the volume is 3.5 cm^3.

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a. The lower real limit is 14.5.
b. The upper real limit is 15.5.


The formula for calculating real limits is Real Limit = Raw Score ± 0.5. The real limits can be used to determine if an individual's score is significantly different from the population mean. The real limits are computed to ensure that the distribution is symmetrical about the mean.  

In this case, the first subject's raw score is 15 feet. Therefore, the lower real limit is 14.5 (15 - 0.5), and the upper real limit is 15.5 (15 + 0.5). The score of 15 feet is considered normal if it falls between the real limits. However, if it falls outside of the real limits, it is considered significantly different from the population mean. Thus, the real limits are essential for analyzing the scores obtained in this study.

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Answer:

Step-by-step explanation:

9x^2 + 24x + 16 = 0

(3x + 4)(3x+4)=0

3x + 4 = 0

3x = -4

x = -4/3

3x + 4 = 0

3x = -4

x = -4/3

Answer: Let's call Jean's speed running "r" and her speed riding her bicycle "b". We know that she runs 8 miles and rides 4 miles, and we also know that her speed on the bike is 8 mph faster than her speed running. We can set up two equations based on this information:

Equation 1: Time running + Time biking = 1.25 hr

Equation 2: Distance running + Distance biking = 8 + 4 = 12 miles

To solve for Jean's speed running and biking, we need to use a bit of algebra to eliminate one of the variables. We can start by using the formula:

time = distance / speed

For the running and biking portions of the race, this gives us:

Time running = 8 / r

Time biking = 4 / b

Substituting these expressions into Equation 1, we get:

8 / r + 4 / b = 1.25

Multiplying both sides by rb (to eliminate the denominators), we get:

8b + 4r = 1.25rb

We also know that b = r + 8, so we can substitute this expression into the equation above:

8(r + 8) + 4r = 1.25r(r + 8)

Simplifying and rearranging, we get:

1.25r^2 - 6r - 64 = 0

We can use the quadratic formula to solve for r:

r = [6 ± sqrt(6^2 + 4(1.25)(64))] / 2(1.25) ≈ 4 or 10.4

The negative root doesn't make sense in this context (it would mean Jean is running backwards!), so we can discard it and conclude that Jean's speed running is about 4 mph.

To find her speed biking, we can use the equation b = r + 8:

b = 4 + 8 = 12 mph

Therefore, Jean's speed running is 4 mph and her speed biking is 12 mph.

Step-by-step explanation:

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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Answer:

B

Step-by-step explanation:

Gl on your finals

Answer:

163.3

Step-by-step explanation:

3.14*r^2*h

h=13

4/2 = 2

r=2

2^2 = 4

3.14*4 = 12.56

12.56*13 = 163.28

Rounded = 163.3

I believe the answer is 163.3

Answer:

\(\frac{35}{18}\)

Step-by-step explanation:

my suggestion on solving problems like this is to multiply by a fraction that equals "1" made up of the L.C.M of the fraction denominators (2,4,5 = 20)

\(\frac{20}{20}\) ..... the denominators will clear out leaving \(\frac{15 - 50}{12-30} = \frac{-35}{-18}\)

= 35/18

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)

\( \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ \)

\( \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) \)

\( \huge \sf\frac{-7\left(-10\right)}{4\times 9} \)

\( \huge \sf\frac{70}{36} \)

\( \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}\)

Answer:

The radius is 6 1/6

Step-by-step explanation:

The radius is half of the diameter and 12 1/3 divided by 2 = 6 1/6

Answer:

6 1/6 took da test

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

So the amount b we will have in our account w weeks from now is given by the equation:

\(b=85+(15+7)w\)

To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:

\(210=85+(15+7)w\)

Subtract 85 from both sides:

\(125=(15+7)w\)

Add within the parentheses:

\(125=22w\)

Divide both sides by 22:

\(w=125/22\approx5.68\approx6\)

In other words, we will have $210 after approximately 6 weeks.

Hunter and three friends spent a total $41 of money.

Addition is the process used to combine things and count them as a single, large group. Addition in mathematics is the process of combining two or more numbers. The term "sum" refers to the result of the process, and "addends" refers to the numbers that are added.

Given, Hunter and three friends were going to the movies.

The movie tickets cost $10 each.

So, cost of movie ticket is 3 times $10 = $30.

And they bought three popcorn at $7.25, and three drinks at $2.75.

That means, the expenditure other than movie is;

$7.25 + $2.75 = $11

To find the total money they spent:

Add all the expenditures,

$30 + $11 = $41.

Therefore, they spent $41.

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We should multiply the expression by (9+√14) fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is; (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                       =  (5-√7)(9+√14)/(9²-14)

                      = (45 + 5√14 - 9√7 - √98)/(81-14)

                       =  (45 + 5√14 - 9√7 - √98)/67

                       = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

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- 9 3 x 7 5

To get the combination that would yield the greatest result if the true number are multiplied,

i. multiply each given combination

73 x 95 = 6935

79 x 53 = 4187

97 x 35 = 3395

93 x 75 = 6975

ii. get the largest result from the results calculated above in (i)

The greatest of the results is 6975, therefore the digits should be placed like so;

9   3

7   5

The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.

The mean is the average value of a data set.

To compute the average, the total value of the data set is divided by the number of items involved.

The average value or mean is the quotient of the total value and the number of data items.

On the other hand, the median describes the middle value of an ordered list of data values.

Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.

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Answer: I don't know

Step-by-step explanation:  Use the fact that 180° is equivalent to \pi  radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.

225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad

\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}

I know this is probably not right sorry if I wasted your time cause my friend told me this.