8,902 to the nearest thousand

Answer:

3x16+8x8

Step-by-step explanation:

3 lots of 16  

+

8 lots of 8

Answer:

I know that 1 and 3 are correct.

Step-by-step explanation:

3x16+8x8

There are 8 childrens tickets, which each cost 8 dollars so you multiply those.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

3x16+8²

8 squared is just 8x8.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

Answer:

212

Step-by-step explanation:

3 goes into 6 = 2 times

3 goes into 3 = 1 time

3 goes into 6 = 2 times

2 → 1 → 2 = 212

Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

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Answer: =279/10

Step-by-step explanation: look at the picture

Answer:

x0 is the answer I just did that question and got it right

Answer:  Answer is in the steps

Step-by-step explanation:

If we given the angle measure in variables then we will sum them up equal 180 and solve for x to determine the angle measure.

9x + x  +x+4 = 180  

   11x + 4 =  180

            -4   -4

11x = 176

x=16  

In this  case we can find the angle measures by using the expressions.

x = 16  degrees

x+4 =  20 degrees

9x =  144 degrees  

Answer: 2.5

Step-by-step explanation:

number the hours she spent studying in order and find middle number

Median number of hours = 3.0 hours .

To arrange all data points in ascending order for a small amount of data, estimate the number of observations (n). To get the ranking of the piece of data where value is the mean when the number of information points is unequal, multiply the total by 1 and divide those results by 2.

The average is calculated by adding up every value separately and dividing the outcome by the total amount of observations. The median is calculated using the "middle" value, the point about which halves the data are more and half are less.

X : Darla spend number of hours studying each day of the week.

The values of observation are

6.0, 1.0 , 2.5, 4.5 , 3.0, 4.0, 1.5

To find median number of hours first we arrange the observation in ascending order

1.0, 1.5, 2.5, 3.0, 4.0, 4.5, 6.0

n= 7 (odd)

Median is middlemost observation in the data

Median = size of (n+1/2) th observation

= size of (7+1)th observation

=size of 4th observation

Since the size of 4th observation is 3.0

Median number of hours = 3.0 hours .

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Answer:

Practical Domain: 0 ≤ g ≤ 22

Practical Range: 0 ≤ C(g) ≤ 78.32

Step-by-step explanation:

The domain is the input of the function, usually, x, but it is g in this problem.

The input here is the number of gallons you can get. The tank holds a maximum of 22 gallons, so if the tank is already full, you will get 0 gallons. If the tank is completely empty, you can get up to 22 gallons. The domain is the values of the input of the function. Since the input is from 0 gallons to 22 gallons, we get this for the domain:

Practical Domain: 0 ≤ g ≤ 22

The range is the output of the function. Usually it is f(x), but in this problem it is C(g). When you input the number of gallons into the function, the output is the cost of that number of gallons. The domain is from 0 to 22 gallons. Now we use the function to find the cost of 0 gallons and the cost of 22 gallons.

Here is the function:

C(g) = 3.56g

What is the cost of 0 gallons? In this case, g = 0.

C(0) = 3.56(0) = 3.56 × 0 = 0

0 gallons cot 0 dollars, which makes sense.

What is the cost of 22 gallons, the greatest amount of fuel you can fit in the tank?

C(g) = 3.56g

Here, g = 22.

C(22) = 3.56(22) = 3.56 × 22 = 78.32

22 gallons cost 78.32 dollars.

The range of the function is from 0 dollars to 78.32 dollars.

Practical Range: 0 ≤ C(g) ≤ 78.32

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer: Answer choice D

Step-by-step explanation: The linear function is y = -5/3 + 5, which means that the slope is 5/3. The fact that the slope is ascending to the left also eliminates the first two choices.

Answer:

D is the answer I think.

Step-by-step explanation:

Hello there! :)

To find the slope of a line, we must divide the Rise over the Run:

\(Slope=\frac{Rise}{Run}\)

The Rise here is -5; the Run is 3.

We calculate that by looking at the graph.

Good luck on your assignment and enjoy your day!

*RosalindCordelia*

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

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The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

Answer:

Light travels at 18 million kilometers in one minute

Step-by-step explanation:

180/10 = 18

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

Answer:

Sample Response: Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.

Step-by-step explanation:

heres the sample response <3

Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.

Step-by-step explanation:

i did the test on edge

Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Answer: A. 279936 sequences.

B. 2187 sequence.

C. 7776 sequence.

D. 46656 sequence

E. 64 sequence.

Step-by-step explanation:

Given data:

A 6 sided fair die

No of time rolled = 7

Resulting sequence recorded = 7.

Solution.

A.) No of different possible sequence

= 6^7

= 279936 sequences.

B.) Sequence consisting of only even number

= there are 3 even numbers between 1 and 7 ( 2,4,6).

= 3^7

= 2187 sequence.

C.) possible sequences are when the first, third, and fourth numbers must be the same.

= 6* 6 ^n

where n = 4

= 6*6^4

= 7776 sequence.

D.) sequence when every number is different.

There are 6 sides of a die, so when every number is different it is.

= 6^6

= 46656 sequence

E.) sequence when atleast there are two numbers that are the same.

= 2^6

= 64 sequence.

Answer:

10

Step-by-step explanation:

you do the one plus the nine which gives you 11 then subtract 2 which gets you 9 then add 4 which gets you 13 then minus 3 which gets you 10.

Answer:

the equation is y=3

Since it's a horizontal slope line and is placed on the point of positive 3

Answer:

y=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.

Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

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Answer:

20cm^2/min

Step-by-step explanation:

area=1/2 × (base×height)

1)differentiate area with respect to time

2)rate of change of height and base is given(take decreasing rate as negative).

3)put the values of height and base.

4)obtain the rate of change of area

The rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm²/min.

Given:

The base of the triangle is shrinking at a rate of 1 cm/min.

The height of the triangle is increasing at a rate of 5 cm/min.

Step 1:

Find the area of the triangle when the height is 22 cm and the base is 10 cm.

Using the formula for the area of a triangle, we have:

Area = (1/2) x base x height

Area = (1/2) x 10 x 22

Area = 110 cm².

So, when the height is 22 cm and the base is 10 cm, the area of the triangle is 110 cm².

Step 2:

Find the rate at which the area of the triangle changes.

To find the rate at which the area of the triangle changes, we need to find the derivative of the area with respect to time (t).

d(Area) / dt = (d/dt) [(1/2) x base x height].

Since the base is shrinking at a rate of 1 cm/min, the derivative of the base with respect to time is -1 cm/min.

Since the height is increasing at a rate of 5 cm/min, the derivative of the height with respect to time is 5 cm/min.

Using the product rule of differentiation, we have:

d(Area) / dt = (1/2) x (-1) x height + (1/2) x base x 5

d(Area) / dt = -1/2 x height + 5/2 x base.

Substituting the given values, we have:

d(Area) / dt = -1/2 x 22 + 5/2 x 10

d(Area) / dt = -11 + 25

d(Area) / dt = 14 cm²/min.

So, when the height is 22 cm and the base is 10 cm, the rate at which the area of the triangle changes is 14 cm²/min.

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