How many degrees are in Arc AC?

The no. of miles driven for the cost of using Taxi A to be $2 greater than the cost of using Taxi B is; 10 miles.

For taxi A;

For taxi B;

According to the question;

I.e; When m = m; C(a) = C(b) + 2.

Therefore;

The no of miles driven can then be evaluated by solving the equation simultaneously;

Substraction of eqn(2) from (1) ; we have;

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Answer:19.42 is the answer

Step-by-step explanation:

Answer:

The answer will be C

Step-by-step explanation:

We use the parallelogram-shaped sponge to create the T-shirt design. The area of the design is 66 square inches. 22 times we will use the sponge to create the design.

Parallelogram:

The term "parallelogram" comes from the Greek word "parallelogram on" which means "surrounded by parallel lines". A parallelogram is a quadrilateral bounded by parallel lines. A shape with opposite sides parallel and equal. Parallelograms fall into three main types: squares, rectangles, and rhombuses, each with its own characteristics.

According to the Question:

Area of the parallelogram-shaped sponge = base × height

                                                                        = 3 inches × 1 inch

                                                                        = 3 square inches

And,

Area of design = 66 square inches

Now,

Number of times to use the sponge to create the design

= Area of design ÷ Area of parallelogram-shaped sponge

= 66 square inches ÷ 3 square inches

= 22 Times

Therefore,

The sponge can be used 22 times to create the design.

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Answer:

34

Step-by-step explanation:

The amount of daily daylight is unrelated to levels of depression in older adults. The hypothesis "The amount of daily daylight is unrelated to levels of depression in older adults" is an example of the null hypothesis.

A null hypothesis is a statement that there is no significant difference between two variables or a relationship between them.The null hypothesis assumes that the observed results or changes in the experiment or data are due to random fluctuations or errors in the measurement process. It is the default hypothesis that is typically tested against an alternative hypothesis.

A researcher tries to disprove or reject the null hypothesis by conducting experiments or collecting data to support the alternative hypothesis. If the null hypothesis is rejected, then the alternative hypothesis is accepted as true. However, if the null hypothesis cannot be rejected, then it remains as the plausible explanation for the observations or outcomes in the experiment.

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Answer:

12$ tip together is will be 92$

Step-by-step explanation:

Answer:

14,98

Step-by-step explanation:

Let smaller no, be x

it is given that larger no is 7 times as other no.

thus, larger no = 7x

Difference of two numbers in term sof x = 7x - x = 6x

it is given that The difference of two positive numbers is 84

thus,

6x = 84

x = 84/6 = 14

Thus,

one number is  x = 14

other number is 7x = 7*14 = 98

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

5 seconds

Step-by-step explanation:

In 5 seconds it will be at 98 meters

x = -b/2a

x = -20/2(-2) = -20/-4 = 5

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The feasible region for the given system of inequalities, x - 3y ≤ 26 and 3x + y ≤ 6, can be graphed as a shaded region on a coordinate plane. This region represents all the points that satisfy both inequalities simultaneously.

To graph the feasible region, we can start by graphing the boundary lines of each inequality and then determining the region that satisfies both conditions.

For the first inequality, x - 3y ≤ 26, we can rewrite it in slope-intercept form as y ≥ (1/3)x - 26/3. The boundary line for this inequality has a slope of 1/3 and y-intercept of -26/3. To graph it, we can plot the y-intercept and use the slope to find additional points, then draw a line through those points. Note that we need to shade the region above the line since the inequality includes the "greater than or equal to" symbol.

For the second inequality, 3x + y ≤ 6, we can rewrite it in slope-intercept form as y ≤ -3x + 6. The boundary line for this inequality has a slope of -3 and y-intercept of 6. We can follow a similar process as before to graph the line, but this time we need to shade the region below the line since the inequality includes the "less than or equal to" symbol.

The feasible region is the shaded region where both inequalities are satisfied. This region represents the set of all (x, y) points that simultaneously satisfy the given system of inequalities.

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Answer:

C

Step-by-step explanation:

When collecting data and receiving different results from participants, it is important to reevaluate the accuracy of the data.

Variations in results can occur due to several factors such as measurement errors, sampling bias, or inconsistencies in data collection methods. Ignoring the results altogether would be unwise as it dismisses valuable information that could contribute to a comprehensive analysis.

While it is normal to expect some degree of variability in samples, it is essential to assess the consistency and reliability of the data. One approach could be to examine potential sources of discrepancies, identify any outliers or inconsistencies, and ensure the data collection process was conducted in a standardized manner.

Additionally, comparing individual scores with the participant mean and exploring any significant differences could provide insights into potential biases or errors.

Therefore, the goal is to ensure the data is as accurate and reliable as possible for meaningful analysis and decision-making.

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Answer:

7

Step-by-step explanation:

Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer

Hope this helps!

Answer:

C(C^3 + 8C^2 -3C -7)

Step-by-step explanation:

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)  

(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2)  -7C  [Combine like terms]

C^4 + 8C^3 -3C^2 -7C                                     [Simplify]

C(C^3 + 8C^2 -3C -7)                                   [Isolate 1C from the rest]

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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The number and the kind of roots of the equation, f(x) = x³ - x² - x + 1, is: D. 3 complex roots.

To determine the number and kind of roots of the equation f(x) = x³ - x² - x + 1, we can analyze the discriminant of the equation.

The discriminant, denoted as Δ, is given by:

Δ = b² - 4ac

In this case, the equation is in the form ax³ + bx² + cx + d = 0, where a = 1, b = -1, c = -1, and d = 1.

Calculating the discriminant:

Δ = (-1)² - 4(1)(-1)(-1) = 1 - 4(1)(1) = 1 - 4 = -3

The discriminant is negative (Δ < 0). This means that there are no real roots for the equation f(x) = x³ - x² - x + 1.

Therefore, the answer is:

D. 3 complex roots

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Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

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This function's horizontal asymptote is crossed at a location known as (6,6).

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

As per the data given equation in the question,

f(x) = 6x(x - 4)/(x - 5)(x + 6).

Horizontal asymptote is y = 6.

So, f(x) = 6

6x(x - 4)/(x - 5)(x + 6) = 6

x² - 4x = x² + x - 30

5x = - 30

x = 6. So, point is (6, 6)

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Answer:

7560.

Step-by-step explanation:

There are 9 letters after the M consisting of  3 O's, 2 H's, 2 H's and 2 E's.

So the number of ways is   9! / (3!*2!*2!*2!)

= 362880 / (6*2*2*2)

= 362880 / 48

= 7560.

The number of ways the word MOSHOESHOE can be rearranged, if the letter M must always begin a word is 75,600 ways

Given:

MOSHOESHOE

n = total number of letters = 10

a = number of times O appears = 3

b = number of times S appears = 2

c = number of times E appears = 2

d = number of times H appears = 2

number of ways the word can be rearranged if M must always begin a word

= n! / (a! b! c! d!)

= 10! / (3!, 2!, 2!, 2!)

= (10 × 9 × 8 × 7 × 6 × 5 × 4× 3 × 2 × 1) / (3 × 2 × 1, 2 × 1, 2 × 1, 2 × 1)

= 3,628,800 / (6 × 2 × 2 × 2)

= 3,628,800 / 48

= 75,600 ways

Therefore, the number of ways the word can be rearranged if M must always begin a word is 75,600 ways

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Hence, the slope which is perpendicular to the line to \(y = -x - 18\) and passes through \((-6, 11)\) is \(y=x+17\).

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

The line in slope-intercept form that is perpendicular to \(y = -x - 18\) and passes through \((-6, 11)\).

As we know the slope of line is

\(y=mx+c\)

where \(m\) is the slope and \(c\) is the y intercept.

Given points are \((-6,11)\).

If we want to describe the perpendicular line to the original line then the slope of line is

\(m_2=-\frac{1}{m_1}\)

In our given slope of line

\(y = -x -18\)

where \(m_1=-1\)

So,

\(m_2=-\frac{1}{m_1}\\\\m_2=-\frac{1}{-1}\\\\m_2=1\)

Now for the slope of second line we use the point slope from the construct equation then,

\(y-y_1=m_2(x-x_1)\\\\y-11=1(x-(-6))\\\\y-11=x+6\\\\y=x+6+11\\\\y=x+17\)

Hence, the slope which is perpendicular to the line to \(y = -x - 18\) and passes through \((-6, 11)\) is \(y=x+17\).

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Answer:

Saldo bancario= $1,192

Step-by-step explanation:

Dado la siguiente información:

Saldo del banco= -$2,376.5

Depósito= $3,568.5

Ella tenía una cuenta en negativo. El depósito le ayuda a cubrir el sado y pasar a tener un saldo positivo. Ahora calculamos cuánto le queda en la cuenta.

Saldo bancario= -2,376.5 + 3,568.5

Saldo bancario= $1,192

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The value of the angle U in the triangle is 92.10 degrees.

The angle U in the triangle can be found using cosine rule as follows:

Let's use cosine formula to find the angle U

c² = a² + b² - 2ab cos C

Hence,

Therefore,

a = 58.8

b = 38.4

c = 71.4

Hence,

71.4²  = 58.8² +  38.4² - 2(58.8)(38.4) cos U

5097.96 = 3457.44 + 1474.56 - 4515.84 cos U

5097.96 - 4932 =  - 4515.84 cos U

165.96 = - 4515.84 cos U

divide both sides by - 4515.84

cos U = 165.96 / - 4515.84

cos U = - 0.03675063775

U = cos⁻¹ - 0.03675063775

U = 92.1032274244

Therefore,

U = 92.10 degrees

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Answer:

Answer: 3 or 2 1/2 ethier is right

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Let the numbers be p q r such that p>q>r

So p + q + r = 3q

2q = p+ r

And q< p but q> c,

So by Solving this would give

q= (p+ r)/2

so q is the mean of p & r.

Since the only other number that fits is q,

Then q is the mean of the numbers p,q,r

As so q is also the median of this set

Thus proving that the mean is the same as the median.

The Orchard Cafe can expect approximately 77 diners to show up out of the 81 reservations made

To determine how many diners can be expected to show up at The Orchard Cafe, we can follow these steps:

1. Identify the percentage of diners who actually show up: Since 4% of diners with reservations don't show up, the percentage of diners who do show up is 100% - 4% = 96%.

2. Calculate the expected number of diners who show up: Multiply the total number of reservations (81) by the percentage of diners who show up (96%).

81 reservations x 0.96 (96% as a decimal) = 77.76

Since the number of diners must be a whole number, you can round the result to the nearest whole number.

In this case, 77.76 can be rounded down to 77.

Your answer: The Orchard Cafe can expect approximately 77 diners to show up out of the 81 reservations made.

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There are approximately 5500 dimes in the jar. A) 5.5 x 103 dimes.

To determine the number of dimes in the jar, we can divide the total mass of the dimes by the mass of each dime.

Total mass of dimes = 1.265 x 10 grams

Mass of each dime = 2.3 grams

Let "x" be the number of dimes in the jar. Then, we can set up the following equation:

x(2.3 grams) = 1.265 x 10 grams

Simplifying this equation, we get:

x = 1.265 x 10 / 2.3

x ≈ 5500

It is important to that this calculation assumes that all dimes have the same mass, and that there are no other objects in the jar.

the actual number of dimes may vary slightly due to measurement error or variability in the mass of each dime.

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