what is the measure of

Answer:

60 feet

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to find the length of the water slide.

Pythagorean Theorem: a² + b² = c²

Given the information of the height and distance from the base, solve for the length of the slide.

The length of the water slide is 60 ft.

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

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Answer:

Step-by-step explanation:

Answer:

 y = 2x-5

Step-by-step explanation:

Lets look for an equation in the standard form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A reference line is given:  y=2x+3.  It has a slope of 2.  Parallel lines have the same slope, so the line we are looking for will also have a slope of 3.  We can therefore wrtite what we know sio far.  The new line will be:

                 y = 2x+b

Any vale of b will produce a line that is parallel to the referenc elien.  But we need a line that goes through a given point of (3,1).  By choosingf the correct value of b, we can force the line therough this point.  The easiest way to find b is to use the known point in the equiation we have thuis far, and solve for b:

y = 2x+b

1 = 2*(3)+b  for (3,1)

b = -5

The equation of a line parallel to y=2x+3 and going through point (3,1) is:

   y = 2x-5

See attached graph.

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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1 cm.......18 km

so area

1 cm² = 18x18 = 324 km²

n cm² = 2106 km²

324 x n = 1 x 2106

n = 2106 : 324 = 6,5 cm²

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

Answer:

r = P / vt

Step-by-step explanation:

P = vrt

P / vt = r

r = P / vt

Answer:

there isn't enough information but I believe it is $1.42

Step-by-step explanation:

Answer:

$1.42

Step-by-step explanation:

wheres the work?

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

This difference in performance can be attributed to factors such as better pitch recognition, understanding of musical patterns, and familiarity with various melodies among musicians. Based on the comparison of the scores of 13 randomly selected or probability musicians on a melody identification test compared with 14 randomly selected non-musicians, it is possible to identify any differences in performance between the two groups.

This comparison may involve analyzing the mean scores, standard deviations, and other statistical measures to determine if there is a significant difference between the two groups. It is important to note that this comparison is only valid if the selection of musicians and non-musicians is truly random and representative of the larger population of musicians and non-musicians. Additionally, other factors such as age, education level, and musical training may also impact the results of the melody identification test and should be taken into account when interpreting the data.
In this scenario, 13 musicians and 14 non-musicians were randomly selected to participate.

The comparison of their scores will likely reveal that musicians tend to score higher on the melody identification test compared to non-musicians, due to their enhanced musical training and experience. This difference in performance can be attributed to factors such as better pitch recognition, understanding of musical patterns, and familiarity with various melodies among musicians.

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11.  n - 1 is not a factor of the given polynomial.

12. x + 2 is not a factor of the given polynomial.

13.  x + 2 is not a factor of the given polynomial.

14. v + 3 is not a factor of the given polynomial.

15. The equation shows that v + 8 is equal to the polynomial itself.

16. The remainder is -4

17. The equation shows that v - 5 is equal to the polynomial itself.

18. The divisor, (* + 5), is not defined. Please provide the correct expression for the divisor.

19.  The equation shows that r + 2 is equal to the sum of the terms on the left side.

20.  The equation shows that x + 2 is equal to the polynomial itself.

Let's solve the given equations using the Remainder Theorem.

(13 + 2n^2 - 13) + (n - 1)(n - 1) = 0

To find the remainder, we substitute n = 1 into the equation:

(13 + 2(1)^2 - 13) + (1 - 1)(1 - 1) = 0

(13 + 2 - 13) + (0)(0) = 0

2 + 0 = 0

2 ≠ 0

Therefore, n - 1 is not a factor of the given polynomial.

(13 - 12 - 3r) : (r - 3) (r - 3) = 0

To find the remainder, we substitute r = 3 into the equation:

(13 - 12 - 3(3)) : (3 - 3)(3 - 3) = 0

(13 - 12 - 9) : (0)(0) = 0

(-8) : (0)(0) = 0

Undefined

Since the divisor is zero, the division is undefined.

(6x^3 + 13x^2 + x - 12) + (x + 2)(x + 2) = 0

To find the remainder, we substitute x = -2 into the equation:

(6(-2)^3 + 13(-2)^2 - 2 - 12) + (-2 + 2)(-2 + 2) = 0

(-48 + 52 - 2 - 12) + (0)(0) = 0

-10 + 0 = 0

-10 ≠ 0

Therefore, x + 2 is not a factor of the given polynomial.

(3v^3 + 4v^2 - 24v - 18) : (v + 3) x = -2

To find the remainder, we substitute v = -2 into the equation:

(3(-2)^3 + 4(-2)^2 - 24(-2) - 18) : (-2 + 3) = 0

(-24 + 16 + 48 - 18) : (1) = 0

22 ≠ 0

Therefore, v + 3 is not a factor of the given polynomial.

(v^3 + 10v^2 + 17v - 1) = (v + 8)

In this equation, we don't need to apply the Remainder Theorem. The equation shows that v + 8 is equal to the polynomial itself.

(63 - 62 - 346 - 11) : (6 + 5)

To find the remainder, we perform the division:

(-356) : (11) = -32 remainder -4

The remainder is -4.

(v^3 - 31v + 35) = (v - 5)

In this equation, we don't need to apply the Remainder Theorem. The equation shows that v - 5 is equal to the polynomial itself.

(13 - 32k - 34) : (* + 5)

There seems to be a typographical error in the equation. The divisor, (* + 5), is not defined. Please provide the correct expression for the divisor.

(73 + 472 - 1 - 16) = (r + 2)

In this equation, we don't need to apply the Remainder Theorem. The equation shows that r + 2 is equal to the sum of the terms on the left side.

(6x^3 + 10x^2 - 7x + 3) = (x + 2)

In this equation, we don't need to apply the Remainder Theorem. The equation shows that x + 2 is equal to the polynomial itself.

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Answer:

5 / 12

Step-by-step explanation:

The cotangent is adjacent ÷ opposite

Opposite = 12

Adjacent = 5

5 / 12

A = 1.5x + 1400 is the equation for how much money was raised.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

The "=" sign and terms on both sides must always be present when writing an equation. both parties.

According to our question-

Let's stand in for

Adults = x, number of them

children = y is the number.

The total amount raised equals A

In the query, it is stated that:

400 people were fed during a pancake breakfast fundraiser that cost $5 for adults and $3.50 for kids.

Consequently, x + y = 400. Formula 1: y = 400 - x

Hence:

A is equal to $5 x and $3.50 y.

Where A = 5x + 3.50 and y = 400 - x (400 - x)

A = 5x + 1400 - 3.50x A = 1.5x + 1400

The formula for calculating how much money was raised is as follows:

A = 1.5x + 1400

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Answer:

it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes

Step-by-step explanation:

Answer:

(n+1)^2.

Step-by-step explanation:

Term:         1      2       3       4        5

Value        4     9       16     25      36

=               2^2  3^2   4^2   5^2    6^2

So, the nth term is (n + 1)^2.

Answer:

So the horizontal distance from the base of the skyscraper out to the ship is approximately 872.4 feet.

Step-by-step explanation:

We are given that the angle of depression is 48 degrees and that the height of the observation deck is 969 feet. Let's call the distance from the base of the skyscraper out to the ship "d".

We can use the tangent function to relate the angle of depression to the horizontal distance:
tan(48) = x / d

Multiplying both sides by d, we get:

d * tan(48) = x

Now we just need to plug in the values we know:
d * tan(48) = x

d * 1.1106 = x

Rounding to the nearest tenth, we get:
d = x / tan(48) ≈ 872.4 feet

Answer:

56

Step-by-step explanation:

The statement is true because, in the context of sequences, convergent refers to the behavior of the sequence as its terms approach a certain value or limit.

If the limit of a sequence as n approaches infinity is 0 (i.e., lim n → [infinity] an = 0), it means that the terms of the sequence get arbitrarily close to zero as n becomes larger and larger.

For a sequence to be convergent, it must have a well-defined limit. In this case, since the limit is 0, it implies that the terms of the sequence are approaching zero. This aligns with the intuitive understanding of convergence, where a sequence "settles down" and approaches a specific value as n becomes larger.

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Answer:

download photomath for problems like these

Option c. is the correct answer.

When the variance should be investigated.

A variance is the difference between a result's actual value and what was anticipated or budgeted. Variances can be either positive or negative. When the actual is higher than the projected or budgeted amount, a favorable variance occurs. The variance is unfavorable when actuals fall short of the amounts allocated in the budget. A variance therefore shows whether or not the actual performance is proceeding as expected.

While,

Option a. is inaccurate. As, the cause of the variance can vary, depending on factors like changes in delivery costs, market costs, production techniques, the use of subpar materials, seasonal factors, or even a simple mistake. Therefore, additional research and subsequent actions are needed to identify the cause of the variance. The cause of a variance cannot be identified by the variance itself.

Option b. is inaccurate. A variance only shows the discrepancy between the anticipated and actual amounts. It makes no mention of who is to blame for the deviation.

Option d. is inaccurate. After variances are identified, one of the most important steps is to investigate them. When actual performances significantly deviate from anticipated outcomes, variations are typically investigated.

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Given data:

The upper end length of the trapezoid is: a=6 cm

The lower end length of the trapezoid is: b=10 cm

The height of the trapezoid is: h=15 cm

The expression to calculate the area of the trapezoid is,

Substitute vall known values in the above expression.

Thus, the area of the trapizoid is 120 square centi meter.

The system of equation that has one solution is: (d) –2x+ 7y = –5  and 2x +7y = –9

This is a group of equations which may have none, one or more solutions.

From the list of given options, the system of equations that has one solution is:

–2x+ 7y = –5  and 2x +7y = –9

This is so because, the solution is (-1,-1)

However, the other systems have infinite many solutions

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Answer:

D. -2x + 7y = -5 and 2x + 7y = -9

Step-by-step explanation:

Edge 2023

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

D. No, because the differential equation does not have constant coefficients.

Form the most generic linear combination of the nonhomogeneous term's family of functions, insert this expression into the provided nonhomogeneous differential equation, and solve for the linear combination's coefficients.

By locating a point that satisfies one of these parallel lines or curves, we can find the precise equation of the form y = f(x), which is the differential equation's specific solution. The general solution of a differential solution would be of the form y = f(x), which could be any of the parallel lines or curves.

What is the purpose of the differential equation's indeterminate coefficients method?

The method of indeterminate coefficients in mathematics is a method for solving certain nonhomogeneous ordinary differential equations and recurrence relations.

The undetermined coefficient method cannot be applied to non-homogeneous variables. The differential equation does not have constant variables therefore the method of undetermined superposition can not be applied. To complete a solution of non-homogeneous equation a particular solution must be added to the homogeneous equation.

The complete question is-

Decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation Can the method of undetermined coefficients together with superposition be applied to find a particular solution of the given equation?

A. No, because the right side of the given equation is not the correct type of function

B, Yes °

C. No, because the differential equation is not linear.

D. No, because the differential equation does not have constant coefficients.

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Given 16 transistors, 3 of which are defective, 13 are not defective

Part A: All are defective.

With replacement

Without replacement

Part B: None are defective

With replacement

Without replacement

The expected percentage of their offspring that would produce pink flowers would be 0%. This is because both the parents that are involved in the cross produce only white flowers and therefore the offspring produced as a result of the cross are expected to only produce white flowers.

However, if the offspring from the cross between the two white flower producing wildflowers were to be crossed with another wildflower population that has pink flowers, there is a chance that some of the offspring from that cross would produce pink flowers. In the given scenario, the cross is being made between two white flower producing wildflowers. Since both the parents involved in the cross produce only white flowers, there is no chance of their offspring producing pink flowers.

The color of the flowers in the offspring is determined by the genetic makeup of the parents that are involved in the cross.In the case of the given wildflowers, the fact that 77% of the offspring produced by a cross between two pink wildflowers produced pink flowers while 23% produced white flowers indicates that the gene for pink flowers is dominant over the gene for white flowers. This is because the gene for pink flowers was passed down to more than three-quarters of the offspring in the cross between the two pink wildflowers. The gene for white flowers, on the other hand, was passed down to only a quarter of the offspring.Hence, if the offspring from the cross between the two white flower producing wildflowers were to be crossed with another wildflower population that has pink flowers, there is a chance that some of the offspring from that cross would produce pink flowers.

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Answer:

He can only make 8 cheese pizzas

Step-by-step explanation:

4➗1/2=8

1/2+1/2+1/2+1.2+1.2+1.2+1.2+1.2=8

If a pair of linear equations in two variables have no solution then the pair of lines are​ inconsistent or parallel lines.

Depending on the number of variables and type of equations there are 3 types of solutions to an equation.

1. Unique Solution (One solution):

When there is only one variable then the linear equation will have a Unique Solution or One solution. In the case of pair of linear equations, the linear equation will have a unique solution when the straight lines are intersected at a single point.

2. No solution:

When the given pair of linear equations is inconsistent equations the linear equation will have no solutions in common or we can say that the given lines are non-intersected lines. Usually, a pair of parallel lines will have no solutions.

3. Infinite Solutions (Many solutions):  

When the given lines are overlapped on each other or coincident with each other the given lines will have Infinite Solutions. These intersected lines.    

Therefore,

If a pair of linear equations in two variables have no solution then the pair of lines are​ inconsistent or parallel lines.  

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Answer: 2^n-1

Step-by-step explanation: You did not provide a full answer but I hope this is correct for you.

Answer:

2−1

Step-by-step explanation: