A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take
a class and pays a total of $210. Which equation can be used to determine how many
classes Olivia signed up for?

Answer:

option a yes, y=2x

Step-by-step explanation:

3*2=6

5*2=10

7*2=14

Answer:

\(5\left(x-3\right)-4\left(x-3\right)=x-3\)

Step-by-step explanation:

Given the expression

\(5\left(x-3\right)-4\left(x-3\right)\)

solving the expression

\(5\left(x-3\right)-4\left(x-3\right)=5x\:-\:15\:-\:4x\:+\:12\)

                               \(= x - 3\)

Thus, the equivalent expression is

\(5\left(x-3\right)-4\left(x-3\right)=x-3\)

The limit of (-1)^n^3 as n approaches infinity does not exist (DNE).

The expression (-1)^n^3 represents a sequence that alternates between positive and negative values as n increases. Let's analyze the behavior of the sequence for even and odd values of n.

For even values of n, (-1)^n^3 = (-1)^(2m)^3 = (-1)^(8m^3) = 1, where m is a positive integer. Therefore, the sequence is always 1 for even values of n.

For odd values of n, (-1)^n^3 = (-1)^(2m+1)^3 = (-1)^(8m^3 + 12m^2 + 6m + 1) = -1, where m is a positive integer. Therefore, the sequence is always -1 for odd values of n.

Since the sequence alternates between 1 and -1 as n increases, it does not approach a single value. Hence, the limit of (-1)^n^3 as n approaches infinity does not exist (DNE).

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

9x ^ 6 -9x ^ 2-2x + 1

Step-by-step explanation:

The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.

√4<√5<√√55  → 2 < 2.23 < 7.41

√8<2.9<√√9    → 2.82 < 2.9 < 3

Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

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Answer:

21,000

Step-by-step explanation:

you would round up if it was 21,500 that would round up t0 22,000

Answer:

8/12, 11/16, 3/4, 4/8

Step-by-step explanation:

hope this helps

Answer:

$4.99 + .30X

Step-by-step explanation:

The base price is 4.99

then you have to add the additional .30 for each ounce the package weighs.

The weight is unknown, so I used X. It will be .30 multiplied by x

Answer:

32.5ft

Step-by-step explanation:

Answer:

32.5 feet per 5 seconds

Step-by-step explanation:

multiply 5 by 6.5 you get 32.5

There is no algebraic solution to this equation.

We have,

There is no algebraic solution to this equation, as it is a fifth-degree polynomial equation, which cannot be solved exactly using algebraic methods.

However, it is possible to find an approximate solution using numerical methods, such as graphing the equation and finding the point of intersection with the line y=2, or using iterative methods such as the Newton-Raphson method.

Thus,

There is no algebraic solution to this equation.

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The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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Answer:

35 degrees.

Step-by-step explanation:

Since that the line that the exterior 100 degree angle is on is a straight line (which is 180 degrees) we can clearly see the supplementary angle is 180-100 which is 80. A triangle's interior angles add up to 180 degrees which means the missing angle is 180-80-6535 degrees.

Answer:

m angle FED is 35 degrees

Step-by-step explanation:

line DE is bisecting RF.

linear lines have a 180 degree angle.

you are given that m angle RDE is 100, meaning you can subtract 180-100 to find angle FDE.

angle FDE is 80 degrees.

in EVERY triangle, all of the angles always add up to 180 degrees. Knowing this, you can subtract 80 and 65 from 180 to find the missing angle.

180 - 80 - 65 = 35

m angle FED is 35 degrees

Answer:

The answer is (B)

Step-by-step explanation:

Answer:

(D)

Step-by-step explanation:

The graph of g(x + 2) is the graph of g(x) shifted 2 units to the left

2 units to the left => "negative two units in the x-direction"

Solution: Option D

Answer:

{-5,-3,0}

Step-by-step explanation:

Since you need it ASAP, the domain is listed above. No explanation.

Tree M most closely reflects how the three species of  the spiny back are related to one another.

The branches of the tree, which are marked with the species names, demonstrate that the three species are all closely related, but still have distinct differences between them. For example, Species 1 and 2 share a relatively recent common ancestor, while Species 3 has a much more distant one. The species are represented as separate branches of the tree to show the different pathways of evolution that each species has taken.

In conclusion, Tree M most accurately reflects the evolutionary history of the three species of the spiny back. It shows that while they are all related, they still have distinct differences between them.

The complete question is:

A single species of fish, the three-species  spiny back, once inhabited a large lake. At some point in the lake's history, lava flowed from a nearby volcano into the lake cutting it into three completely isolated mini-lakes. Despite the heat from the lava, a few individuals from the original population of spiny back survive in each mini-lake. Three million years later, a researcher finds that each mini-lake is inhabited by its own species of spiny back. Which of the following figures MOST closely reflects how the three species of spiny back are related to one another?

A.) tree H B.) tree L C.) tree M D.) tree K.

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Based on the given options, the linear inequality that represents the graph below is C. y ≥ -3x + 1

To determine the correct option, we need to analyze the characteristics of the graph. Looking at the graph, we observe that it represents a line with a solid boundary and shading above the line. This indicates that the region above the line is included in the solution set.

Option A, y > (-3/6)x + 1, does not accurately represent the graph because it describes a line with a slope of -1/2 and a y-intercept of 1, which does not match the given graph.

Option B, y ≥ x + 1, also does not accurately represent the graph because it describes a line with a slope of 1 and a y-intercept of 1, which is different from the given graph.

Option D, y > x + 1, is not a suitable representation because it describes a line with a slope of 1 and a y-intercept of 1, which does not match the given graph.

Only Option C. y ≥ -3x + 1.

This is because the graph appears to be a solid line (indicating inclusion) and above the line, which corresponds to the "greater than or equal to" relationship. The equation y = -3x + 1 represents the line on the graph.

Consequently, The linear inequality y -3x + 1 depicts the graph.

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The surface integral  has given option:

e) None of the above.

To evaluate the surface integral Jsxz ds, we need to find the surface area and the value of the function xz over that surface. The surface S is defined as the part of the plane 2a + 2y + z = 4 that lies in the first octant.

First, let's find the surface area of S. The equation of the plane can be rewritten as z = -2a - 2y + 4. Since we are only interested in the first octant, we need to find the limits of integration for x, y, and z. The limits for x and y are straightforward, as they both go from 0 to a. For z, since the plane intersects the z-axis at 4, the limit for z would be from 0 to -2a + 4.

The surface area integral can be set up as follows:

∫∫S ds = ∫∫R √(1 + (dz/dx)² + (dz/dy)²) dA,

where R represents the region in the xy-plane that corresponds to S.

Taking partial derivatives of z with respect to x and y, we get dz/dx = -2 and dz/dy = -2. Substituting these values into the surface area integral, we have:

∫∫R √(1 + (-2)² + (-2)²) dA,

which simplifies to:

∫∫R √(1 + 4 + 4) dA = ∫∫R √9 dA = ∫∫R 3 dA.

Since the integrand is a constant, the surface area integral simply becomes:

3 ∫∫R dA = 3A,

where A represents the area of the region R.

To determine the area of R, we need to find the limits of integration for x and y in the region R. From the equation of the plane, we have 2a + 2y + z = 4. Solving for y, we get y = (4 - 2a - z)/2. Considering the first octant, the limits for y would be from 0 to (4 - 2a)/2, and the limits for x would be from 0 to a.

Therefore, the area of R is given by:

A = ∫∫R dA = ∫₀ₐ ∫₀^((4-2a)/2) dy dx.

Evaluating this double integral will give us the value of the area A. Multiplying A by 3 will give us the surface area integral, but it does not directly provide the value of Jsxz ds. We also need to know the value of xz over the surface S, which is not given.

Therefore, the answer to the given surface integral Jsxz ds cannot be determined solely based on the information provided. Hence, the correct answer is e) None of the above.

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When the sum of two angles is equal to 180 degrees then they are supplementary angles, that form a linear angle together.

Your information is incomplete and the complete question wasn't found. Therefore, an overview will be given.

Supplementary angles are the angles that sum up to 180 degrees. For example, angle 140° and angle 40° are supplementary angles because the sum of 140° and 30° is equal to 180°.

The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, then the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

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The value of r12 (2) = 0.328 and the value of rho12 (2) = -0.116 can be determined using the given sequences x1(n) and x2(n).

The correlation coefficient rxy(n) between sequences x(n) and y(n) is given by:

rxy(n) = (xy)/(sqrt(xx)*sqrt(yy)

)where, xy = Summation of

{x(n+y)*y(n)}; n = 0 to N-1;

N is the number of samples.

xx = Summation of {x(n+y)*x(n)}; n = 0 to N-1;

N is the number of samples.yy = Summation of {y(n+y)*y(n)};

n = 0 to N-1;

N is the number of samples.Given,

x1(n)=[3, 2, 0.5, 2, 0.5] and

x2(n)=[0, 1, 0, 0, 0.25]So,

N = 5.x1(n) x2(n) 1 2 3 4 5 0 1 0 0 0.25 3 2 0.5 2 0.5

Now, let's determine the correlation coefficient

r12 (2):xy = Summation of {x(n+2)*y(n)}; n = 0 to N-1xy = (0*3) + (1*2) + (0*0.5) + (0*2) + (0.25*0.5)xy = 1.125xx = Summation of {x(n+2)*x(n)};

n = 0 to N-1xx = (0.5^2) + (2^2) + (0.5^2)xx = 4.25

yy = Summation of

{y(n+2)*y(n)};

n = 0 to N-1yy = (0^2) + (1^2) + (0^2)yy = 1

Therefore, r12 (2) = (1.125)/(sqrt(4.25)*sqrt(1))r12 (2) = 0.328

So, the value of r12 (2) is 0.328 (rounded to 3 decimal places).

Now, let's determine the rank correlation coefficient rho12 (2):Rank the sequences

x1(n) and x2(n):

x1(n) 3 2 0.5 2 0.5 4 2 1 3 1x2(n) 0 1 0 0 0.25 2 4 2 2 5

Here, the sum of the squared differences between the ranks of x1(n) and x2(n) is:

S = (4-2)^2 + (2-4)^2 + (1-2)^2 + (3-2)^2 + (1-5)^2S = 30

The total number of pairs is

N(N-1)/2 where N is the number of samples in each sequence.

Therefore, N(N-1)/2 = 5*4/2 = 10Therefore,

rho12 (2) = 1- ((6*S)/(N(N^2-1)))

rho12 (2) = 1- ((6*30)/(5*(5^2-1)))

rho12 (2) = -0.116

So, the value of rho12 (2) is -0.116 (rounded to 3 decimal places).

Thus, the required values of r12 (2) and rho12 (2) are 0.328 and -0.116, respectively.

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Answer:

See below

Step-by-step explanation:

\(1\cdot24=2\cdot12=3\cdot8=4\cdot6=24\)

Answer:

1. 24

2. 12

3. 8

4. 6

Step-by-step explanation:

2 x 12 = 24, 3 x 8 = 24, 4 x 6 = 24

Answer:

2n+10

Step-by-step explanation:

you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10

if you are solving for the variable n then you would want your equation like this 2n+10=0

next you would put the 10 on the other side of the equation and have 2n=-10

finally you would divide by 2 and get n=-5

The probability that the student will fail, given that he guesses the answers, is 0.227.

Since there are only two possible outcomes for each question (true or false),

the probability of guessing a correct answer is 1/2 = 0.5.

Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.

To find the probability of failing the exam,

we need to find the probability of answering less than 11 questions correctly.

Using the binomial probability formula,

the probability of getting k successes (correct answers) in n trials (questions) is given by:

P(k) = (n C k) * p^k * q^(n-k)

where p is the probability of success (getting a correct answer),

q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.

In this case,

n = 17, p = 0.5, and

q = 0.5.

The number of ways to get less than 11 correct answers is:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)

Substituting the values:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015

P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146

P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586

P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558

P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268

P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327

P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732

P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537

P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573

P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013

P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015

Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857

Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857

The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).

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Answer:

1.1...............

Step-by-step explanation:

please mark my answer in brainlist

Answer:

B. 1

Step-by-step explanation:

20 ÷ 18 is closest to

A. 1/2

B. 1

C. 1 1/2

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

20 : 18 = 1,111111111111111

A. 1/2 = 0.5

B. 1 = 1

C. 1 1/2 = 1.5

To calculate Daniel's weekly pay, add his regular pay and overtime pay: Weekly pay = $1038.31.

To calculate Daniel's weekly pay, we need to determine his regular hours and his overtime hours.

Regular hours = 37 hours

Overtime hours = Total hours worked - Regular hours

Total hours worked = 9.5 + 8.5 + 10 + 10 + 10.75 = 49.75 hours

Overtime hours = 49.75 - 37 = 12.75 hours

Daniel's regular pay for 37 hours is:

$18.50/hour x 37 hours = $684.50

Daniel's overtime pay for 12.75 hours is:

$18.50/hour x 1.5 = $27.75/hour (time-and-a-half rate)

$27.75/hour x 12.75 hours = $353.81

Therefore, Daniel's weekly pay is the sum of his regular pay and overtime pay:

Weekly pay = $684.50 + $353.81 = $1038.31

Therefore, Daniel's weekly pay is $1038.31.

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Complete question:

Daniel earns $18.50 an hour, with time-and-a-half for hours worked over 37 a week. His clock hours for a week are 9. 5, 8. 5, 10, 10, and 10.75. How much is his weekly pay?

ANSWER:

500.5 m²

STEP-BY-STEP EXPLANATION:

To know how much artificial grass should be purchased to cover the athletic field, we must calculate the area corresponding to the figure.

The area of a trapezoid has the following formula:

Where b is the small base, B is the large base and h is the height, we substitute and calculate the area, like this:

It is necessary to purchase the amount of 500.5 m² to be able to cover the athletic field

\( \sin(45) = \frac{opposite}{hypotenuse \\ } \\ \\ \sin(45) = \frac{8}{x} \\ \frac{ \sqrt{2} }{2} = \frac{8}{x} \\ x \sqrt{2} = 16 \\ \frac{x \sqrt{2} }{ \sqrt{2} } = \frac{16}{ \sqrt{2} } \\ x = \frac{16 \times \sqrt{2} }{ \sqrt{2 \times \sqrt{2} } } \\ x = \frac{16 \sqrt{2} }{2} \\ 8 \sqrt{2} \)

D is the correct answer

PLEASE GIVE BRAINLIEST

Answer:

Y=X

Step-by-step explanation: