Find the Domain and range

Answer:

1) 25

2) 32,768

3) 729

4) 16 or 2^4

5) 117,649 or 7^6

6) 5.29 or 2.3^2

Not sure what 7-12 mean

13) 1 mile 64-63=1

14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37

15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.

16) 8^5= 32,768  6^6= 46,656  5^7= 78,125  5^5= 3,125  4^10= 1,048,576

Step-by-step explanation:

Answer:

80 deegree CD .................

An online Arithmetic Sequence Calculator with Steps can be found online to help calculate the sequence and provid step-by-step instructions.

To calculate an arithmetic sequence with steps, first determine the common difference between consecutive terms. This is done by subtracting the value of any two consecutive terms in the sequence. Next, determine the first term in the sequence. This is done by writing out the sequence and finding the first number. Then calculate the nth term by using the formula nth term = a + (n – 1)d, where a is the first term and d is the common difference. Finally, calculate the sum of the first n terms of the sequence by using the formula S = ½ n (2a + (n - 1)d). This will give the sum of the first n terms.

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For the given question value of x will be 20

Congruent triangle:

                                If two triangle are congruent then all the corresponding sides and corresponding angles ill be equal. Symbol for congruent is ≅.Congruent triangles are also known as identical triangle.

For example,

                    if ΔMNP and ΔSQR are congruent,

that is,

                    if  ΔMNP ≅ ΔSQR

then,

                ∠M = ∠S

                ∠N = ∠Q

                ∠P = ∠R

and ,

          MN = SQ  , NP = QR , MP = SR

According to question,

       ∠S = (3x+5)°    

       ∠N = (4x-6)°    

        ∠R = (2x+1)°    

        ∠Q = (94-x)°

As,

           ΔMNP ≅ ΔSQR

so,

          ∠N = ∠Q

     (4x-6)° = (94-x)°

      4x + x = 94 + 6

        5x = 100

         x = 100/5

         x = 20

Hence, for the given congruent triangle ΔMNP and ΔSQR value of x will be 20.

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Answer:

36s³

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\)

Given

6s² × 6s

= 6 × s² × 6 × \(s^{1}\)

= 6 × 6 × s² × \(s^{1}\)

= 36 × \(s^{(2+1)}\)

= 36s³

Answer:

6 Celsius

Step-by-step explanation:

Initial temperature at 12pm is 0 Celsius.

Rises by 6 (add by 6).

\(0+6\)

\(6\)

Answer:

the slope is 1

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 9)

m = \(\frac{9-4}{4-(-1)}\) = \(\frac{5}{4+1}\) = \(\frac{5}{5}\) = 1

Since our calculated t score of 14.4 is much larger than the cutoff t score of 2.131, we can reject the null hypothesis and conclude that the mean creativity score of the current statistics class is significantly different from the mean creativity score of the rest of the university students.

The null hypothesis in this scenario is that the mean creativity score of the current statistics class is not significantly different from the mean creativity score of the rest of the university students, which is 40.

We can use a one-sample t-test to test this hypothesis, where the test statistic is calculated as:

t = (sample mean - population mean) / (sample standard error)

where the sample standard error is calculated as:

standard error = population standard deviation / sqrt(sample size)

Plugging in the given values, we have:

t = (47 - 40) / (5 / sqrt(16)) = 14.4

To find the cutoff t score at the 5% level of significance with 15 degrees of freedom (16 students - 1), we can use a t-distribution table or a calculator. Using a table, we find that the cutoff t score is 2.131.

Therefore, since our calculated t score of 14.4 is much larger than the cutoff t score of 2.131, we can reject the null hypothesis and conclude that the mean creativity score of the current statistics class is significantly different from the mean creativity score of the rest of the university students.

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Answer:

4+2= 6+ 4+7= 17+7=25+4=28

Answer:

y=f(x+9)-5

Step-by-step explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:  

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.

Answer:

\(x = 6\)

Step-by-step explanation:

Given:

\(81^x = 27^{x +2}\)

Solving for \(x\):

\(81^x = 27^{x +2} \\ 81^x = (81^{\frac{3}{4}})^{x +2} \\ 81^x = 81^{\frac{3}{4}(x +2)} \\ x = \frac{3}{4}(x +2) \\ x = \frac{3}{4}x +\frac{3}{4}(2) \\ x = \frac{3}{4}x +\frac{3}{2} \\ x -\frac{3}{4}x = \frac{3}{2} \\ \frac{4}{4}x -\frac{3}{4}x = \frac{3}{2} \\ \frac{1}{4}x = \frac{3}{2} \\ x = \frac{3}{2} \cdot 4 \\ x = \frac{12}{2} \\ x = 6\)

Answer:

100% on plato

Step-by-step explanation:

The raffles in ascending order of their expected values to the player is

player will be choose from A to J and the player wins $150.

player will be choose from A to O and the player wins $240.

player will be choose from A to E and the player wins $85.

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order. For example, a set of natural numbers are in ascending order, such as 1 < 2 < 3 < 4 < 5 < 6 < 7 < 8… and so on.

We have,

Tickets for all of the described charity raffles cost $2 per ticket.

Here first the player will be choose from A to J and the player wins $150.

Second, the player will be choose from A to O and the player wins $240.

Third, the player will be choose from A to E and the player wins $85.

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Based on the given steps, the next step would be: Draw a ray PR from point P through point L and extend it further. The correct option is D.

After drawing the ray PR, you can proceed with the remaining steps to complete the construction.

The reason why we draw a ray PR from P through L is that this will create two angles with the same measure. The measure of an angle is the amount of rotation between its two rays. When we draw a ray from P through L, we are essentially rotating the ray PQ by the same amount that we rotated the ray BA. This means that the two angles will have the same measure.

Once we have drawn the ray PR, we can check to see if the two angles are congruent.

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Answer:

You can make 6 batches of cookies.

Step-by-step explanation:

3/4 + 3/4 = 1 1/2 (2)

1 1/2 + 1 1/2 = 3 (4)

3 + 1 1/2 = 4 1/2 (6)

Answer:

6 batches

Step-by-step explanation:

4 1/2 divided by 3/4

is 6

4 1/2  /  3/4 = 6

so you can make six

is how many batches

you can make.

(i checked my answer with a calculator)

a) The probability of getting exactly 2 mistakes on page 23 is approximately 0.2241.

b) The probability of getting exactly 6 mistakes in a particular 3-page section of the book is approximately 0.0418.

a) To find the probability of getting exactly 2 mistakes on page 23, we can use the Poisson distribution formula

P(X = 2) = (e^(-λ) × λ^2) / 2!

where X is the number of mistakes on page 23, λ is the average number of mistakes per page (which is 3 in this case), and e is the mathematical constant approximately equal to 2.71828.

So, plugging in the values we have

P(X = 2) = (e^(-3) × 3^2) / 2!

= (0.0498 × 9) / 2

= 0.2241

Therefore, the probability of getting exactly 2 mistakes on page 23 is approximately 0.2241.

b) To find the probability of getting exactly 6 mistakes in a particular 3-page section of the book, we can use the same Poisson distribution formula, but we need to adjust the value of λ since we are now considering 3 pages instead of just 1.

Let λ' be the average number of mistakes per 3-page section. Since we know that λ = 3 for 1 page, we can use the property of Poisson distributions that the average number of events in a given time interval is proportional to the length of that interval. Therefore, for 3 pages, we have

λ' = 3 × 3 = 9

So, plugging in the values we have

P(X = 6) = (e^(-λ') × λ'^6) / 6!

= (e^(-9) × 9^6) / 720

≈ 0.0418

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a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

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Answer:  3∛3

Step-by-step explanation:

81^(1/3) = ∛(81) = ∛(27 × 3) = 3∛3

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

-46

Step-by-step explanation:

23 tickets are purchased for children and 9 tickets are purchased for adults.

Given,

In the question:

A group entering a zoo purchased 32 admission tickets for a total of $148. Adult tickets cost $7. 50, and tickets for children cost $3. 50.

To find the how many of each type of ticket were purchased?

Now, According to the question:

It is given in the question that 32 tickets are purchased by group which cost total $148.

Let the number of children of the group who are entering the zoo be x. Then the number of adults will be 32- x

Now cost of one ticket for adult = $7.50

Total amount spent on adult tickets = 7.50 × (32-x)

Similarly, cost of one ticket for child= $3.50

Total amount spent on children tickets = 3.50 × x =3.5x

Total amount spent by group on tickets =  $148

⇒ 7.5 × (32-x) + 3.5x = 148

⇒ 240 - 7.5x + 3.5x = 148

⇒ 7.5x - 3.5x = 240 - 148

⇒ 4x = 92

⇒ x = 23

Children = 23

Adults = 32-x = 32-23 = 9

Hence, 23 tickets are purchased for children and 9 tickets are purchased for adults.

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Answer:

The algebraic equation for the given sentence is

3x - 8 = 25

Answer:

B os correct because its multiplied itself 5 times

To estimate the triple integral ∭E​xy dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, 0 ≤ z ≤ x + y}, We need to configure the limits of integration.

The integral can be written as:

∭E​xy dV = ∫₀³ ∫₀ˣ ∫₀ˣ₊y xy dz dy dx

Let's evaluate this integral step by step:

First, we integrate with respect to z from 0 to x + y:

∫₀ˣ xy (x + y) dz = xy(x + y)z |₀ˣ = xy(x + y)(x + y - 0) = xy(x + y)²

Now, we integrate with regard to y from 0 to x:

∫₀ˣ xy(x + y)² dy = (1/3)xy(x + y)³ |₀ˣ = (1/3)xy(x + x)³ - (1/3)xy(x + 0)³ = (1/3)xy(2x)³ - (1/3)xy(x)³ = (1/3)xy(8x³ - x³) = (7/3)x⁴y

Finally, we integrate with regard to x from 0 to 3:

∫₀³ (7/3)x⁴y dx = (7/3)(1/5)x⁵y |₀³ = (7/3)(1/5)(3⁵y - 0⁵y) = (7/3)(1/5)(243y) = (49/5)y

Therefore, the value of the triple integral ∭E​xy dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, 0 ≤ z ≤ x + y}, is (49/5)y.

Note: The result is express in terms of the variable y since there is no integration performed with respect to y.

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Answer:

Approximately 16%

Step-by-step explanation:

To solve this problem using the empirical rule, we need to first standardize the value of 170 pages using the mean and standard deviation provided:

z = (x - k) / o

where x is the value we want to find the probability for (170 pages), k is the mean (195 pages), and o is the standard deviation (25 pages).

So,

z = (170 - 195) / 25 = -1

Now, we can use the empirical rule, which states that for a normal distribution:

- About 68% of the data falls within 1 standard deviation of the mean

- About 95% of the data falls within 2 standard deviations of the mean

- About 99.7% of the data falls within 3 standard deviations of the mean

Since we know that the distribution is normal, and we want to find the probability that a randomly selected book has fewer than 170 pages (which is one standard deviation below the mean), we can use the empirical rule to estimate this probability as follows:

- From the empirical rule, we know that about 68% of the data falls within 1 standard deviation of the mean.

- Since the value of 170 pages is one standard deviation below the mean, we can estimate that the probability of randomly selecting a book with fewer than 170 pages is approximately 16% (which is half of the remaining 32% outside of one standard deviation below the mean).

Therefore, the probability that a randomly selected book has fewer than 170 pages is approximately 16%.

Answer:

Choice 3

Step-by-step explanation:

The block is rotating counterclockwise 90º each time. If you visualize the cube you can think of the triangle rotating and the circle being on the face adjacent to the triangle's base.

Step-by-step explanation:

The next block should have the arrow facing toward the front of the box with the circle on the left side unseen.

Answer:

Answer:

1/5 or  a 20 percent chance

Step-by-step explanation:

You add all the muffins together and you get 35 muffins. Since there are 7 vanilla muffins, you do 7/35 and you simplify and get 1/5 and that's a 20% chance that the vanilla muffin will be sold.

The probability that the next muffin sold is a vanilla muffin is 1/5

unlikely.

Answer:

1/5 and unlikey i took the test lol

Step-by-step explanation:

There is insufficient evidence to support that bolts are too long or too short.

What is Mean and Standard Deviation?

Mean: Dividing the sum of all values in a data set by the number of values.

Standard Deviation: The standard deviation is a measure that summarizes how far away from the mean each observation is.

Given:

mean: 0.94cm

standard deviation = 0.31cm

Alright, so a manufacturer must test that these bolts are long as they come off the manufacturing line and he must readjust the machines if they're too long or too short. Consequently, sample 121V and sample mean are 0.94 cm. So we want to test whether or not these are actually equal to two, so are no hypothesis is that the mean is too and our alternative hypothesis, because it says that we have to recalibrate if they're too short or too long, is that the mean is not too we could probably go with the left tail test here because the sample mean is under but we'll be safer with a two tail test um just because the standard deviation may sway things.

So what we want to do next is compute the test statistic and that's gonna be a Z score and that's just supplied by X bar minus population mean over standard deviation over squared event. And we're using Z here because we have a high sample size and since we know the population standard deviation.

Hence, There is insufficient evidence to support that bolts are too long or too short.

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Answer:

Step-by-step explanation:

5 hours, 70 apples all together