2. Jasmine goes to Ben and Jerrys to get ice
cream. Her ice cream costs $8.00. She leaves a
20% tip. How much tip did she leave?

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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The inequality 0 < x < 5 describes the region between the yz plane and the vertical plane x = 5.

To find the region between the yz plane and the vertical plane x = 5. we know that x can have only value x = 5, based on plane x = 5. The plane yz does not say anything about the values of y and z, thus they can take any value. But, yz plane implies that x = 0.

Therefore the region between plane yz and x = 5 is described by inequality, 0 < x <5.

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The complete question is given below:

Write inequalities to describe the region between the yz-plane and the vertical plane x = 5.

Answer:

The answer is B

If a data set has an outlier, the median would be the best measure of central tendency to use as it is less sensitive to extreme values compared to the mean.

The presence of an outlier can heavily skew the mean in the direction of the outlier, causing it to become an inaccurate representation of the center of the data. On the other side, the median is less sensitive to extreme values and represents the middle value of the dataset. It is calculated by finding the middle value in a dataset after arranging it in numerical order.

Therefore using the median as the measure of central tendency in a dataset with an outlier can provide a better indication of the typical value compared to the mean.

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Answer:

x = 2

Step-by-step explanation:

4 - (x + 2) - 7 = x - 9

4 - x - 2 - 7 = x - 9

-5 = 2x - 9

4 = 2x

x = 2

Please don't report me if I am wrong :(

x=2!

I think you asked: Solve for x: 4 − (x + 2) −7

The answer is x=2

Let's simplify step-by-step.

4−(x+2)−7

=4+−x+−2+−7

Combine Like Terms:

=4+−x+−2+−7

=(−x)+(4+−2+−7)

=−x+−5

That is the simplified answer. If you think carefully, I think x=2

Answer:

x = -2

Step-by-step explanation:

Subtract 7 from both sides :

6x = -12

Divide both sides by 6 :

x = -2

Hope this helped and have a good day

The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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To find the expected quiz score for someone who studied 5 hours, it is necessary to refer to the specific equation of the line of best fit or have additional information regarding the relationship between study hours and quiz scores.

Based on the line of best fit drawn by Madelyn's math teacher, we can make a prediction for the quiz score of someone who studied 5 hours.

The line of best fit represents the trend or relationship between the number of hours studied and the corresponding quiz scores. It allows us to estimate the quiz score for a given number of hours studied.

To determine the predicted quiz score for someone who studied 5 hours, we locate the point (5, y) on the line of best fit. The y-coordinate of this point represents the expected quiz score.

Since the equation of the line of best fit is not provided, we cannot determine the exact predicted quiz score. The line of best fit is derived through regression analysis, which considers the data points and their respective positions.

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Answer:

Step-by-step explanation:

Answer:

9y

Step-by-step explanation:

Here, we want to have a mathematical representation

the product of 9 and a number y means we have to multiply 9 by the number y as follows;

= y * 9 = 9y

Answer:

 5 , 7 , 8 represent the side of acute angled triangle

Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that:

Set of numbers.

Now, We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

Hence, 41 < 49

⇒ It is an Obtuse Triangle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

Hence, 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

Hence, 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

Hence, 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.

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Answer:

Ok, we can define a function as a relation that maps elements from a set (the domain) into elements from another set (the range), such that each element in the domain can be mapped into only one element of the range.

2) Here you choose the autographed poster, and we know that each one of these costs $10.

So, if the artist sold x posters, then he/she would earn x times $10:

earnings =  $10*x

So we can create a function:

f(x)

such that f(x) represents the total earnings of the artist for selling x posters.

And we already know the equation for the earnings, so the function will be:

f(x) = $10*x

3) Now, it asks us if the values:

-2, -1, 0, and 1

be appropiate for the domain of the function.

Remember that x represents the number of posters that the artist sold.

Then, if we take x = -2 or x = -1 (like the first two given values) this would mean that the artist sold a negative number of posters, which has no real sense in the situation given. So we can conclude that these values should not be in the domain of the function.

For the other two cases, 0 and 1, these two can be in the domain, because these represent the case where the artist sold only one poster and the case where the artist did not sell any poster (that are two possible cases)

The value of SS for this population cannot be determined with the given information.

The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.

However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).

Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.

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Answer:

3

Step-by-step explanation:

To find a specific term of an arithmetic sequence, we use the formula for finding the nth term. Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

The resultant matrix after elementary row operation is:

\(A = \left[\begin{array}{ccc}-12&20&8\\-24&3&-9\end{array}\right]\)

What is elementary row operation?

In mathematics, the elementary row operation is a method in which the two rows exchanged. In this, the rows are either multiplied, added or division. Sometimes, single row is multiplied by some constant.

According to the question, the given matrix A is written below:

\(A = \left[\begin{array}{ccc}-3&5&2\\8&-1&3\end{array}\right]\)

Now, performing elementary row operations represented by \(-3R_{2} +4R_{1}\)

The given matrix becomes after elementary row operations:

\(A = -3R_{2} + 4R_{1} = \left[\begin{array}{ccc}-12&20&8\\-24&3&-9\end{array}\right]\)

Hence, the resultant matrix after elementary row operation is::

\(A = \left[\begin{array}{ccc}-12&20&8\\-24&3&-9\end{array}\right]\)

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As per the concept of number, there are nine hens are died in the chapter 7 of animal farm.

The term number in math refers an arithmetic value used to represent quantity.

Here we need to find Who dies in chapter 7 of Animal Farm.

According to the concept that explained in chapter 7, we have know that the collapse of the windmill makes the animals are starving.

In this stage they put on a good face for the outside world.

But the hens will find out that their eggs will be taken.

At the time of take, they are try to rebel, due to the protest they're starved via control of the teeth-baring dogs and that leads the death of nine hen.

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The conversion factors from 5% (m/m) NaCl solution to other units are:

To Mass concentration in g/L: multiply by 50

to molar concentration in mol/L - ddivide by the molar mass of NaCl (58.44 g/mol) and multiply by 0.05.

A conversion factor is the number or formula required to convert one set of measurements to another set of measurements. The number is generally expressed as a numerical ratio or fraction that may be multiplied.

A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equivalent value, the proper conversion factor must be utilized.

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Answer:

x=32

Step-by-step explanation:

sum of interior angles of a triangle = 180

add up all angles and equate to 180

(4x-13)+(x+18)+15=180

5x=160

x=160/5=32

x+18  =   32+18    = 50

4x-13  =  4x32-13 = 128-13 = 115

add up all to check whether ans = 180;  15+50+115=180

step 1 solve for x step 2 after getting the value of x ,substitute and get the value of angles

The seventh term of the geometric sequence is -7/32. The nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term

To find the seventh term of a geometric sequence, we can use the formula:

\(an = a1 * r^(n-1),\)

where an represents the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.

In this case, we are given a2 = -7 and r = 1/2.

Using the formula, we can find a1 by substituting n = 2:

a2 = a1 * (1/2)^(2-1).

We know that a2 = -7, so we can rewrite the equation:

-7 = a1 * (1/2)^1,

-7 = a1 * (1/2).

Now, let's solve for a1:

a1 = -7 * (2/1),

a1 = -14.

We have found that the first term, a1, is equal to -14.

Now, we can find the seventh term, a7, by substituting n = 7 into the formula:

a7 = (-14) * (1/2)^(7-1),

a7 = (-14) * (1/2)^6,

a7 = (-14) * (1/64),

a7 = -14/64,

a7 = -7/32.

Therefore, the seventh term of the geometric sequence is -7/32.

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From linear function data, we have

From exponential function data, we have

The major distinction between linear and exponential functions is the rate of their growth.

Linear growth is always at the same rate, whereas exponential growth increases exponentially over time.

The value(s) of λ such that the vectors v1 and v2 are linear dependent is (are): λ = 3 and λ = -1.

To find the value(s) of λ such that the vectors v1 and v2 are linearly dependent, we need to check if one of the vectors is a scalar multiple of the other. In other words, we need to see if we can find a non-zero scalar k such that:
v2 = k*v1
Expanding this equation, we get:
(2 - λ, -8, -4) = k*(-2 - 2λ, -4, -2)
Simplifying the right-hand side, we get:
(-2k - 2kλ, -4k, -2k)
Equating the corresponding components of both sides, we get a system of three equations:
2 - λ = -2k - 2kλ
-8 = -4k
-4 = -2k
Solving the second and third equations, we get:
k = 2
k = -2
Substituting these values of k into the first equation, we get:
2 - λ = -2(2) - 2(2)λ (for k = 2)
2 - λ = -2(-2) - 2(-2)λ (for k = -2)
Simplifying both equations, we get:
λ = 3
λ = -1

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Answer:

a = 4

b = 4

Step-by-step explanation:

This is a special right triangle with angle measures of 45° 45° 90° and side lengths x x x√2

You can find the complex roots of a 6th-degree polynomial by using approaches such as the rational root theorem.

The most common approach is to use the Rational Root Theorem, which can be used to determine the possible rational roots of the polynomial - these are the roots that can be expressed as a fraction with an integer numerator and an integer denominator.

Once you have identified these possible rational roots, you can then use the Synthetic Division algorithm to divide the polynomial with each of the rational roots to determine the actual roots of the equation.

Another approach is to use the Sturm’s Theorem, which can be used to determine the number of real and complex roots of the equation.

Finally, you can also use numerical methods, such as the Newton-Raphson method, to calculate the complex roots of the polynomial.

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Answer:

4

Step-by-step explanation:

4 times -10 equals -40.

Answer:

x+y=0

6x-3y=12

x-y+4=8

Step-by-step explanation:

The given expression is evaluated as Integral = (t²/2)ln(t+1)+2arctan(t) -3ln(1+t²) + c(i + j + k).

The given expression is ∫¹₀(t ln(t+1)i+(2t/(1+t²)j+(3/(1+t²)k)dt.

Let's begin by rewriting the expression in integral form.

Integral = ∫tln(t + 1)i + (2t/(1 + t²))j + (3/(1 + t²))k dt

Now, we will integrate the expression term-wise.

Integral = ∫ tln(t + 1)i dt + ∫ (2t/(1 + t²))j dt + ∫ (3/(1 + t²))k dt

1st Term

Integrating the first term:

Integral = (t²/2)ln(t+1) + ci (Where c is constant)

2nd Term

Integrating the second term:

Integral = 2arctan(t) + cj

3rd Term

Integrating the third term:

Integral = -3ln(1+t²) + ck

The final answer is

Integral = (t²/2)ln(t+1)+2arctan(t) -3ln(1+t²) + c(i + j + k).

Hence, the given expression is evaluated as Integral = (t²/2)ln(t+1)+2arctan(t) -3ln(1+t²) + c(i + j + k).

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"Your question is incomplete, probably the complete question/missing part is:"

Evaluate: The given expression is ∫¹₀(t ln(t+1)i+(2t/(1+t²)j+(3/(1+t²)k)dt.

Answer:

3 ( 3 x + 1 ) ( 3 x − 1 )

Step-by-step explanation:

The probability of drawing one black ball and one white ball in two consecutive draws from the urn is approximately 0.42.

To calculate the probability of drawing one black ball and one white ball in two consecutive draws, we need to consider the outcomes of each draw.

In the first draw, there are 10 balls in total (3 black and 7 white). The probability of drawing a black ball on the first draw is 3/10, and the probability of drawing a white ball is 7/10.

For the second draw, after removing one ball from the urn, there are now 9 balls left. The probability of drawing a black ball on the second draw, given that a black ball was drawn on the first draw, is 2/9. Similarly, the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 6/9.

To calculate the overall probability, we multiply the probabilities of the individual events. The probability of drawing one black ball and one white ball in two consecutive draws is (3/10) * (6/9) + (7/10) * (2/9) ≈ 0.42.

Therefore, the probability of getting one black ball and one white ball in two consecutive draws from the urn is approximately 0.42.

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Answer:

50

Step-by-step explanation:

4 x 10 = 40 and 2 x 5 = 10 so add them together

Answer:

17 = k

Step-by-step explanation:

d(x) = 7x – k

Let  d(3) = 4

4 = 7*3 -k

4 = 21 -k

Subtract 21 from each side

4 -21 = 21-k-21

-17 = -k

Multiply each side by -1

17 = k

Answer:

k=17

4= 7*3 -k

k=21-4

k= 17

Answer:

\(x = 70 \degree\)

Step-by-step explanation:

Sum of the interior angles in a quadrilateral is 360°

So,

\(x + 8 + 2x + 7 + x + x - 5 = 360\\ 5x + 15 - 5 = 360 \\ 5x + 10 = 360 \\ 5x = 360 - 10 \\ 5x = 350 \\ \frac{5x}{5} = \frac{350}{5} \\ x = 70 \degree\)

Hope this helps you.

Let me know if you have any other questions :-):-)