determine whether rolle's theorem applies to the function shown below on the given interval. if so, find the point(s) that are guaranteed to exist by rolle's theorem. f(x) =9-x^2/3;[-1,1]

Answer:

11:00 AM+ 50 minutes= 11:50

11:50 AM+30 minutes= 12:20

Step-by-step explanation:

Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?

Answer:

It is really hard to see the picture

Step-by-step explanation:

Could you also give the choices to the answers that are possible? It would help out a lot. Just lmk in the comments and then I will revise my answer :)

Answer:

Part A: The appropriate measure of center to describe the distribution of the data would be, median.

Part B: The appropriate measure of spread to describe the distribution of data would be, interquartile range.

Part C: The box plot represents the data. Calculate the appropriate measure of spread, IQR = 13

Got it right on math nation. Hope this helps!

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

Answer:

FV= 676

Step-by-step explanation:

Giving the following formula:

Present value (PV)= 990 parents

Decrease rate (d)= 10% = 0.1 per year

Number of periods (n)= 4

To calculate the future value of votes, we need to use the following formula:

FV= PV / (1 + d)^n

FV= 990 / (1.1^4)

FV= 676

Let's denote the lengths of the legs of the right triangle as a and b, and the length of the hypotenuse as c. We are given that the altitude perpendicular to the hypotenuse is 12 cm.

Using the Pythagorean theorem, we have:

[tex]a^2 + b^2 = c^2[/tex]

The perimeter of the right triangle is given by:

Perimeter = a + b + c

We want to express the length of the hypotenuse (c) as a function of the perimeter.

Rearranging the equation for the perimeter, we have:

c = Perimeter - (a + b)

Substituting the equation for c into the Pythagorean theorem equation, we get:

[tex]a^2 + b^2[/tex] = (Perimeter - [tex](a + b))^2[/tex]

Expanding and simplifying, we have:

[tex]a^2 + b^2[/tex]= [tex]Perimeter^2[/tex] - 2Perimeter(a + b) +[tex](a + b)^2[/tex]

Simplifying further:

[tex]a^2 + b^2[/tex]= [tex]Perimeter^2[/tex]- 2Perimeter(a + b) + a^2 + 2ab + b^2

The terms with [tex]a^2[/tex] and [tex]b^2[/tex]cancel out, giving:

[tex]2ab = Perimeter^2 - 2Perimeter(a + b)[/tex]

Dividing both sides by 2, we have:

[tex]ab = (Perimeter^2 - 2Perimeter(a + b))/2[/tex]

[tex]ab = (Perimeter^2 - 2Perimeter(a + b))/2[/tex]

Now, since we are given that the altitude perpendicular to the hypotenuse is 12 cm, we know that:

ab = [tex]12^2 = 144[/tex]

We can solve this equation for either a or b, and then substitute the value into the expression for the hypotenuse (c):

For example, let's solve for a:

a = 144/b

Substituting this into the expression for c

c = Perimeter - (a + b)

c = Perimeter - (144/b + b)

Therefore, the length of the hypotenuse (c) can be expressed as a function of the perimeter.

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Step-by-step explanation:

the the height should be 16 cm I used the Pythagoras theory thank you.

Answer:

$535

Step-by-step explanation:

First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.

Answer: i dont know

Step-by-step explanation:

Answer:

divide 7/100 which is 0.07

multiply that by 13.75, and you get 0.96

13.75+0.96= $13.20

(this is including sales tax)

Answer:

$12.78

Step-by-step explanation:

I THINK you are supposed to multiply the original price (13.75) by the sales tax as a decimal (0.07) and then subtract that answer from, the original, amount.

The calculated value of the margin of error is 0.022

From the question, we have the following parameters that can be used in our computation:

Sample, n = 1400

The proportion is calculated as

p = 320/1400

So, we have

p = 0.2286

Next, we calculate the standard error using

E = √[(p * (1 - p)) / n]

So, we have

E = √[(0.2286 * (1 - 0.2286)) / 1400]

Evaluate

E = 0.0112

The margin of error is then calculated using

Margin of Error = z  * E

Using z at 95% CI, we have

M = 1.96 * 0.0112

Evaluate

M = 0.022

Hence, the margin of error is 0.022

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Answer:

x ≈ 9.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle, that is

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )

The preparation workshop’s impact on first-time composite scores can be assessed by evaluating the scores of a group of 30 high school seniors who retake the Miller Analogies Test (MAT) after attending the workshop.

The MAT is taken twice by each student: once before the workshop and once after it. The scores are reported on a ratio scale.
To check if there has been a significant change in scores, the following steps can be followed:

Step 1: To determine the change in scores, subtract the scores obtained before the workshop from the scores obtained after the workshop.

Step 2: Calculate the average score change for the group of 30 students by dividing the sum of score changes by 30.

Step 3: Calculate the standard deviation of the score change by using the following formula:
SD = √[∑ (Xi - X)2 / (n - 1)]
where Xi is the individual score change, X is the average score change, and n is the number of students.

Step 4: Use a t-test to determine if the change in scores is statistically significant. If the t-value is greater than the critical value (using a 5% significance level and 29 degrees of freedom), then the change in scores is significant.
Thus, by following these steps, the impact of the preparation workshop on first-time composite scores of the MAT can be assessed.

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The paired t-test is the appropriate statistical analysis to use for this type of data.

The first step to check for a significant change over first-time composite scores when a group of 30 high school seniors retake the Miller Analogies Test (MAT) after completing a Test Preparation Workshop, note that each student will have taken the MAT twice, once before and once following the workshop, and the scores are on a ratio scale is to compute the ratio of the scores before and after the workshop for each student.

Then, calculate the mean and standard deviation of the ratios.

Finally, conduct a paired t-test to determine if the mean ratio is significantly different from 1 at the 0.05 level of significance.

The paired t-test is the appropriate statistical analysis to use for this type of data.

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Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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Using the z-distribution, as we have the population standard deviation, it is found that a sample of 83 people must be taken.

Given,

Estimation of number of minutes per day a person spends on the internet .

Margin of error in Z distribution,

M = z σ/[tex]\sqrt{n}[/tex]

In which:

z is the critical value.

σ is the population standard deviation.

n is the sample size.

Here,

We have 90% confidence level ,

Thus ,

[tex]\alpha[/tex] = 0.9

z is the value of Z that has a p-value

(1+0.9) / 2

= 0.95

so the critical value is z = 2.575

Also we have

standard deviation = 46 minutes

Population mean = 13 minutes

To find minimum sample size solve for n

M = z σ/[tex]\sqrt{n}[/tex]

13 = 2.575 (46/[tex]\sqrt{n}[/tex])

n = 83 .30

Rounding up, a sample of 83 people must be taken.

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Answer:

1 /1 ; 360°

Step-by-step explanation:

Start time = 2:30 pm

Stop time = 3:30 pm

Minute hand makes a complete revolution per hour ;

This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1

The angle turned by the minutes hand :

1 complete revolution = 360°

A circle covers 360°

1 /1 fraction of a circle = 1/1 * 360° = 360°

Hence, angle turned by the minute hand = 360°

Answer:

C

Step-by-step explanation:

Answer: 20°  &  70°

Step-by-step explanation:

We know complementary angles will add up to 90° and we also know we can divide the total by 9 parts because our ratio is 2 parts to every 7 parts.

To find each individual part size...

9x=90

x=10

so use our ratio...

2x10=20  for first angle

7x10=70 for second angle

Answer:

F= 1 /4 y+ 9 /4

Step-by-step explanation:

brainliest?

The slope of the line joining the given pair of points is 4/3.

The slope of the line joining the points (4, 6) and (1, 2) can be found using the formula:

slope = (y2 - y1) / (x2 - x1).

Substituting the coordinates of the two points into the formula:

slope = (2 - 6) / (1 - 4)

Calculating this expression:

slope = -4 / -3

Simplifying the fraction:

slope = 4/3

Therefore, the slope of the line joining the points (4, 6) and (1, 2) is 4/3.

To evaluate the slope of a line joining two points, we use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, we substitute the coordinates (4, 6) and (1, 2) into the formula and calculate the expression.

Simplifying the fraction, we find that the slope of the line is 4/3. This means that for every 3 units of horizontal change (x-axis), the line rises by 4 units (y-axis).

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Answer: $8 bowl, noodles, bean sprouts, beef

Step-by-step explanation:

Answer:

7: 15

Step-by-step explanation:

(a) The transmitted codeword vector when 0100110 is received is 0100110.

To determine the transmitted codeword vector, we need to find the syndrome of the received vector and check if it corresponds to any error patterns. If the syndrome is zero, it means no error occurred during transmission.

Let's calculate the syndrome for the received vector 0100110 using the parity check matrix:

Received vector: r = 0 1 0 0 1 1 0

Parity check matrix: H = 0 0 0 1 1 1 1

                           0 1 0 1 0 1 0

                           1 0 1 0 1 0 1

To calculate the syndrome, we multiply the received vector by the transpose of the parity check matrix:

Syndrome = r * H^T

         = 0 1 0 0 1 1 0 * 0 0 1

                                0 1 0

                                1 0 1

                                1 0 1

                                0 1 0

                                1 0 1

                                0 1 0

         = 0 1 0 * 0 1 0

                  1 0 1

                  0 1 0

                  1 0 1

                  0 1 0

                  1 0 1

                  0 1 0

         = 0 0 0

The resulting syndrome is 0 0 0, which indicates that no error occurred during transmission. Therefore, the transmitted codeword vector is the same as the received vector: 0100110.

(b) The transmitted codeword vector when 0001111 is received is 1001111.

Following the same process as in part (a), let's calculate the syndrome for the received vector 0001111 using the parity check matrix:

Received vector: r = 0 0 0 1 1 1 1

Parity check matrix: H = 0 0 0 1 1 1 1

                           0 1 0 1 0 1 0

                           1 0 1 0 1 0 1

Syndrome = r * H^T

         = 0 0 0 1 1 1 1 * 0 0 1

                                0 1 0

                                1 0 1

                                1 0 1

                                0 1 0

                                1 0 1

                                0 1 0

         = 0 1 1 * 0 1 0

                  1 0 1

                  1 0 1

                  0 1 0

                  1 0 1

                  0 1 0

                  1 0 1

         = 0 1 1

The resulting syndrome is 0 1 1, which indicates an error occurred during transmission. To correct the error, we need to locate the error bit. The syndrome corresponds to the position of the error bit in the received vector.

The error bit is in position 3, so we flip the value of the bit in position 3 in the received vector:

Received vector (after error correction): 1001111

Since we assumed that no more than one error occurred during transmission, we can conclude that the transmitted cod

eword vector is 1001111.

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Answer:

1.41 kilograms

Step-by-step explanation:

Given data

290-gram bag of gummy worms

450-gram bag of sour keys

670-gram bag of chocolate-covered almonds

In all, she bought

=290+450+670

=1410grams of candy

Now let us convert from grams to kilograms

1000grams is equal to 1 kilogram

hence 1410 grams  will be x

cross multiply

1000x= 1410

x= 1410/1000

x= 1.41 kilograms

The Volterra integral equation:

x(t) - xo = ∫[to, t] y(s) ds

y(t) - x₁ = ∫[to, t] f(s, x(s)) ds

(a) To write the initial value problem dx = f(t, x), x(to) = xo dt as an integral equation, we can use the integral representation of the solution.

Let's consider the integral equation:

x(t) = xo + ∫[to, t] f(s, x(s)) ds

This integral equation is of the Volterra type, as it involves a definite integral and depends on the function x(s) evaluated over the interval [to, t].

(b) To transform the second-order initial value problem d²x/dt² = f(t, x), x(to) = xo, x'(to) = x₁ into a Volterra integral equation, we can introduce a new variable, y(t), defined as the derivative of x(t):

y(t) = dx/dt

Now, we can rewrite the second-order differential equation as a system of first-order differential equations:

dx/dt = y(t)

dy/dt = f(t, x)

To represent this system as an integral equation, we'll integrate both equations from to to t.

This yields:

x(t) - xo = ∫[to, t] y(s) ds

y(t) - x₁ = ∫[to, t] f(s, x(s)) ds

Combining these two equations, we obtain the Volterra integral equation:

x(t) - xo = ∫[to, t] y(s) ds

y(t) - x₁ = ∫[to, t] f(s, x(s)) ds

This integral equation is also of the Volterra type, involving definite integrals and depending on the functions x(s) and y(s) evaluated over the interval [to, t].

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Answer:

30.5

Step-by-step explanation:

The square root of 8 - 2i, with the real part of the answer being positive, is approximately 2.34 + 0.52i.

To find the square root of 8 - 2i, we can represent the complex number in its polar form and then apply the square root operation.

First, we calculate the magnitude (r) and argument (θ) of the complex number 8 - 2i:

Magnitude: |8 - 2i| = √([tex]8^2[/tex] + (-2[tex])^2[/tex]) = √(64 + 4) = √68 = 2√17

Argument: θ = arctan(-2/8) = arctan(-1/4) ≈ -0.24498 radians

Next, we express the complex number in polar form:

8 - 2i = 2√17 * (cos(-0.24498) + isin(-0.24498))

To find the square root, we take the square root of the magnitude and divide the argument by 2:

√(8 - 2i) ≈ √(2√17) * (cos(-0.24498/2) + isin(-0.24498/2))

Simplifying the expression:

√(8 - 2i) ≈ √(2√17) * (cos(-0.12249) + isin(-0.12249))

≈ 2.34 + 0.52i

Therefore, the square root of 8 - 2i, with the real part of the answer being positive, is approximately 2.34 + 0.52i.

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Answer:

A) 36 inches

36 Incheon is the correct answer

Answer:

D.) 64pi in.³

Step-by-step explanation:

I got it right in quiz, trust me.

I hope this helps! ^^

Answer:

c) 33

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given angle from 180°. To find the other angle (in your case, ∠e), use the ∠y = 180° – ∠x where ∠x is the given angle.

Answer:

c)33

Step-by-step explanation: