find the y intercept of the following equation. simplify your answer. y=3\4x+4\7

The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is\(\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\]\)

Using the formula for a geometric series, we have\(\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\]\)

which is very close to \($\dfrac{10^{10}}{9},$\) so the ratio is very close to 9.

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Answer:

30th problem.

Step-by-step explanation:

The first question that they both solve would be the LCM, or the least common multiple. Since Olivia is solving every 6th, and Nora is solving every 5th, we need to find the LCM of 5 and 6, which would be 30.

So, the first problem that they both solve would the the 30th problem.

Answer:

27

Step-by-step explanation:

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

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Answer:

D.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because it the only right one according to my research

(a) Since I cannot draw boxplots in text, I recommend using a boxplot tool, such as a graphing calculator, Excel, or an online boxplot generator. Input the data for each brand and create side-by-side boxplots, labeling them "N" for the name brand and "S" for the store brand.

(b) To determine if there is a difference in the number of chips per cookie between the two brands, compare the median values, the range, and the interquartile range of each brand's boxplot. If these values differ significantly, then there is a difference in the number of chips per cookie between the two brands.

(c) To determine which brand has a more consistent number of chips per cookie, compare the interquartile ranges (IQR) of each brand's boxplot. The brand with the smaller IQR has a more consistent number of chips per cookie, as the IQR measures the spread of the middle 50% of the data.

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Answer: y=1

0x=0

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.

going from (3, 4) to (5, 7) changes x by +2 and y by +3.

so, the slope of the line is 3/2

Answer:

The correct option is B. 40.

Step-by-step explanation:

To calculate the volume of a triangular pyramid, you need to know the height and the area of the base. In this case, the height of the triangular pyramid is given as 12 inches, and the area of the base is given as 10 square inches.

The formula for the volume of a triangular pyramid is:

Volume = (1/3) * Base Area * Height

Substituting the given values:

Volume = (1/3) * 10 square inches * 12 inches

Volume = (1/3) * 120 cubic inches

Volume = 40 cubic inches

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

The Recurrence Relation T(n) for T(n) = 2n.T(n-1) + 12 2 is:

T(n) = 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0) = 2^n * n! * T(0).

To solve the given recurrence relation T(n) = 2n * T(n-1) + 12, we can use iteration or expansion methods. Let's use the expansion method to find an explicit formula for T(n).

Expanding the recurrence relation, we have:

T(n) = 2n * (2(n-1) * T(n-2) + 12) + 12

= 2n * 2(n-1) * T(n-2) + 2n * 12 + 12

= 2n * 2(n-1) * (2(n-2) * T(n-3) + 12) + 2n * 12 + 12

By continuing this process, we can observe a pattern. Each term in the expansion will be of the form 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0), where T(0) is the initial term.

The number of factors of 2 will depend on the value of n. We can see that for each term, the number of factors of 2 is n! (n factorial). Therefore, the explicit formula for T(n) is:

T(n) = 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0) = 2^n * n! * T(0).

In this case, T(0) represents the initial term of the sequence. Without knowing its value, we cannot provide a specific numerical solution. However, the above formula provides a general expression for T(n) in terms of n and T(0), satisfying the given recurrence relation.

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The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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The fraction arranged by increasing size are 9  / 8 < 6 / 5 < 5 / 3 < 7 / 4 .

Fractions are represented as a numerical value, which defines a part of a whole. A fraction has the numerator and the denominator. The numerator is the upper part while the denominator is the lower part.

Let's arrange the fractions from the lowest to the highest value.

Therefore,

5 / 3 , 7 / 4 , 6 / 5 , 9 / 8

Let's convert to decimal to know the smallest to the largest number.

9 / 8 = 1.125

6 / 5 = 1.2

5 / 3 = 1.66666666667

7 / 4 = 1.75

Therefore, the arrangement is 9  / 8 < 6 / 5 < 5 / 3 < 7 / 4

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The domain of the function g(x) is all real numbers x such that x is less than or equal to 9. In interval notation, the domain can be expressed as (-∞, 9].

The domain of the function g(x) = √(9 - x) consists of all real numbers x such that the expression inside the square root is non-negative. Since the square root function is defined only for non-negative values, we set the expression inside the square root greater than or equal to zero:

9 - x ≥ 0

To find the domain, we solve the inequality for x:

x ≤ 9

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We need 25 bunches of basil to yield 125 tablespoons of chopped basil, which is enough to garnish 125 bowls of soup. Since we have 8 bunches of basil, we can make 40 1-tablespoon garnishes.

To find the total number of 1-tablespoon garnishes that can be made from 8 bunches of basil, we need to determine how many tablespoons of chopped basil we can get from each bunch and then multiply that by the total number of bunches. Let's assume that one bunch of basil yields 5 tablespoons of chopped basil.

To get the total number of 1-tablespoon garnishes, we first need to determine how many tablespoons of chopped basil we have in total. Since we need 1 tablespoon of chopped basil for each of the 125 bowls of soup, we need 125 tablespoons of chopped basil in total.

Now, we can find how many bunches of basil we need to yield this much chopped basil by dividing the total amount of chopped basil needed by the amount of chopped basil we can get from one bunch.

125 tablespoons ÷ 5 tablespoons/bunch = 25 bunches

Therefore, we need 25 bunches of basil to yield 125 tablespoons of chopped basil, which is enough to garnish 125 bowls of soup. Since we have 8 bunches of basil, we can make 40 1-tablespoon garnishes.

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The eighth term of the given geometric sequence is 256/6561.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 2/3, 4/9, 8/27...

As we can observe, each successive term of the geometric sequence is 2/3 of the previous one.

Thus, r = 2/3  and a₁ = 2/3.

The formula used to find the nth term of a geometric sequence is given by: \(a_n=a_1(r^{n-1})\)

For n = 8, \(a_8=\frac{2}{3}(\frac{2}{3})^7=\frac{2}{3}^8=\frac{256}{6561}\)

Thus, the eighth term of the given geometric sequence is 256/6561.

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Tina will need 32 cups of water to make the iced tea.

The total mass of 2 apples, 2 pears and 2 oranges is 820.0133 g.

Let p be the mass of one pear in grams,

let a be the mass of one apple in grams,

let o be the mass of one orange in grams.

From the first sentence, we know that:

7p + 5a + 3o = 2030 (equation 1)

From the second sentence, we know that:

1p + 2a = 300 (equation 2)

From the third sentence, we know that:

1a + 2o = 420 (equation 3)

We want to find the total mass of 2 apples, 2 pears, and 2 oranges, which is:

2p + 2a + 2o  

multiply equation 2 with 7

=7p + 14a = 2100

subtract this from equation 1, and we get

9a -3o = 70 (equation 4)

multiply equation 3 with 9 to get

9a + 18o = 3780

subtract this with equation 4 to get

21o = 3710

o =176.67

substitute in equation 4 to get a

a= 66.67

substitute in equation 2 to get p

p=166.67

thus required:

Total mass of 2 apples, 2 pears and 2 oranges is 2p + 2a +2o =  820.0133 g

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Answer:

-4

Step-by-step explanation:

('+')('-') = ('-')

Therefore,

(+2)(-2) = (-4)

To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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Answer:

D

Step-by-step explanation:

For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:

\(\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }\)

x² -12x +7= 0

\(x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} \)

\(x = \frac{12± \sqrt{144 - 28} }{2} \)

\(x = \frac{12± \sqrt{116} }{2} \)

\(x = \frac{12± \sqrt{4(29)} }{2} \)

\(x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} \)

\(x = \frac{12±2 \sqrt{29} }{2} \)

\(x = 6± \sqrt{29} \)

\(∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}\)

Answer:

1.24

Step-by-step explanation:

The minimum distance the driver of the Taurus be able to see a vehicle

is 24.04 feet.

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Given:

The mirror is at the maximum angle, can be considered as 45 degree.

Using Trigonometry

sin 45 = P/ H

1/ √2 = 17/ H

H = 17√2

H = 24.04 feet.

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Answer:

each pencil costs 11 cents

Step-by-step explanation:

1.35 divided by

Answer:

300

Step-by-step explanation:

50 x 6 gets your explanation.

Answer:

15 dollars

Step-by-step explanation:

2.50×6= 15

two dollars and fifty cent times the amount of days equals the amount of money Kasie has in here bank account

The customer pays a total of $10.

A tip is an additional amount of money that is given to a service worker as a way of showing appreciation for their service. Tips are typically given in industries such as restaurants, hotels, and hair salons, and the amount of the tip is usually a percentage of the total cost of the service provided.

If the breakfast bill is $8, and the customer wants to leave a 25% tip, then the tip amount would be:

$8 x 0.25 = $2

So the total amount the customer would pay, including the tip, would be:

$8 + $2 = $10

Therefore, the customer pays a total of $10.

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The correct question should be:

A customer's entire breakfast bill is 8$. If the customer pays the server for the entire bill plus a 25% tip, what is the total amount the customer pays​?

The length of the hypotenuse of the right triangle is given as follows:

\(h = 3\sqrt{2}\)

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

Hence the hypotenuse length is obtained as follows:

\(h^2 = (\sqrt{8} + 1)^2 + (\sqrt{8} - 1)^2\)

\(h^2 = 8 + 2\sqrt{8} + 1 + 8 - 2\sqrt{8} + 1\)

\(h^2 = 18\)

\(h = \sqrt{2 \times 9}\)

\(h = 3\sqrt{2}\)

As the hypotenuse contains a term with a square root, it is in surd form.

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