00 Consider the sequence { In(26n)+16n 27n+sin(n) In=1 Answer the following questions: (1) Does the sequence converge? Answer: Click for List (i) What is the limit of the sequence? The limit of the sequence is

Answer: 1/11

Step-by-step explanation: to get the answer you add all of the marbles and you get 12 you then see that to get the first marble the probability is 4/12 you then have to multiply the second probability which its 3/11 because it is without replacement. you multiply them together and get 1/11 which is your answer

Answer: 1/11

Step-by-step explanation:

P(E)= 4/12*3/11

      = 1/3*3/11

      = 1/11

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Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

\(x=3\frac{1}{9}\)

Step-by-step explanation:

\(\frac{1}{3}x =9\frac{1}{3}\)

1/3x ÷ 3 = 9 1/3 ÷ 3

\(x=3\frac{1}{9}\)

28 is the value of the variable x.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To solve for x, we can start by converting the mixed number to an improper fraction:

9 1/3 = 28/3

Now we can solve for x:

1/3x = 28/3

Multiplying both sides by 3, we get:

x = 28

Therefore, the value of x is 28.

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126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

For given question,

We need to find number of three-digit numbers formed using elements from the set {1,2,3,4,5,6,7,8}  if no element may be used more than once in a number and the number must be even.

3-digit even  numbers are to be formed using the given six digits,1 ,2,3,4,6,7, and 8 without repeating the digits.

Then, units digits can be filled in 4 ways by any of the digits, 2,4, 6 or 8.

Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 7 digits.

So, the number of ways in which hundreds and tens place can be filled with the remaining 7 digits is the permutation of 7 different digits taken 2 at a time.

\(\Rightarrow ~^7P_2=\frac{7!}{(7-2)!} \\\\\Rightarrow ~^7P_2=42\)

Thus, by multiplication principle, the required number of 3-digit numbers is 3 × 42 = 126

Therefore, 126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

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Answer:

\( 6.3 \le p \le 8.1 \)

The third reading must be between 6.3 and 8.1 inclusive.

Step-by-step explanation:

To find the average of three numbers, add the three numbers and divide by 3.

Let the third reading = p.

The average of the three readings is

\( \dfrac{7.4 + 7.9 + p}{3} \)

This average must be between 7.2 and 7.8 inclusive. "Inclusive" means that the values 7.2 and 7.8 are allowed. That means the average must be greater than or equal to 7.2 and less than or equal to 7.8. We can write this as the following inequality.

\( 7.2 \le \dfrac{7.4 + 7.9 + p}{3} \le 7.8 \)

Simplify the numerator.

\( 7.2 \le \dfrac{15.3 + p}{3} \le 7.8 \)

Multiply the three sides by 3.

\( 21.6 \le 15.3 + p \le 23.4 \)

Subtract 15.3 from the three sides.

\( 6.3 \le p \le 8.1 \)

Answer: The third reading must be between 6.3 and 8.1 inclusive.

Answer:

27

Step-by-step explanation:

It is an equilateral triangle, so all sides are 9 ft. 9*3=27.

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

he has 15 books

Step-by-step explanation:

18 + 7 = 25

25 - 10 = 15

Answer:

Step-by-step explanation:

To find the x-intercepts, find x when f(x) = 0

f(x) = x² + 2x - 2 = 0

Use the quadratic formula to find the 2 solutions for x (a=1, b=2, c=-2)

x = -1 ± √3

x = -2.732

x = 0.733

In other words, the graph intersects the x axis at these 2 points:

(-2.732, 0) and (0.7321, 0)

(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer:

1) z=?

using similar triangles:

x / z = (8+x) / 20

20x / (8+x) = z since x=8

z = 20(8) / (8+8) = 160 / 16 = 10

or

Midsegment theorem:

z = (1/2)(20) = 10

2) x = (1/2)(13) = 6.5

or

ratio of similar triangles:

4/ x = 8/13

x = 4(13)/8 = 6.5

3) x = 2(10) = 20

or

similar triangles:

a/10 = 2a/x

ax = 20a

x = 20

4) a/5 = 2a/(x+1)

a(x+1) = 10a

x+1 = 10

x = 10 -1 = 9

5)

similar triangles:

a/31 = 2a/2x

a(2x) = 62a

2x = 62

x = 31

midsegment theorem:

2x = 2(31)

2x = 62

x = 31

The monthly payment amount for financing the $17,000 car over 5 years with a 5% interest rate compounded monthly is approximately $321.58. The total interest paid on the loan is $2,294.80.

To find the payment amount for financing the $17,000 car over 5 years with a 5% interest rate compounded monthly, we can use the formula for the monthly payment amount on a loan.

The formula is:

PMT = PV * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

PMT is the monthly payment amount

PV is the present value of the loan

r is the monthly interest rate

n is the total number of monthly payments

Given:

PV = $17,000 (the amount to finance)

r = 5% / 100 / 12 = 0.004167 (monthly interest rate)

n = 5 years * 12 months/year = 60 months

Substituting these values into the formula:

PMT = $17,000 * (0.004167 * (1 + 0.004167)^60) / ((1 + 0.004167)^60 - 1)

Using a calculator or spreadsheet software, we can calculate the monthly

payment amount to be approximately $321.58.

(b) To find the total interest paid over the 5-year period, we can subtract the principal amount (PV) from the total amount paid over the term of the loan. The total amount paid is simply the monthly payment amount (PMT) multiplied by the number of monthly payments (n).

Total amount paid = PMT * n = $321.58 * 60 = $19,294.80

Total interest paid = Total amount paid - Principal amount

Total interest paid = $19,294.80 - $17,000 = $2,294.80

Therefore, the total interest paid on the loan is $2,294.80.

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The angles ∠YWZ and ∠XWY are 36° and 144° respectively.

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Answer:

she can buy 9 shirts

Step-by-step explanation:

80-35=45

45÷5=9

plz mark brainlyest

Answer:

\(x = 1.48 \: and \: y = - 1.38\)

Step-by-step explanation:

\(first \: equation\)

\(x - 4y = 7\)

\(second \: equation\)

\(5x + y = 6\)

\(from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y\)

\(x =7 + 4y \: {equation \: 3}\)

\(substitutefor \: x \: in \: equation \: 2\)

\(5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ \)

\(y = \frac{ - 29}{21} \)

\(y = - 1.38\)

\(subsitute \: for \: y \: into \: equation \: 3\)

\(x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48\)

The evaluation of the expression yields 9.3 for the given values of g = 15 and h=2.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, the expression is 0.9g - 2.1h and g = 15, h=2.

Substitute the value of g and h in order to evaluate the expression,

=0.9g - 2.1h

=0.9(15)-2.1(2)

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Thus, The evaluation of the expression yields 9.3 for the given values of g = 15 and h=2.

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Answer:

1/6

Step-by-step explanation:

Because there is only a side that has the number 4 in a total of 6 sides

Answer:

ST=12=TU SU=24

Step-by-step explanation:

Set it equal to 8x-12=4x then get like terms on the same side, that being 8x-4x=12. Solve that and it becomes 4x=12, divide by the greatest common factor to get x by itself (4) which leaves x=3. 3x4 is equal to 12 and 8x3(24)-12 is equal to 12. SU is equal to 24

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

\(8 \pi\)

Step-by-step explanation:

The computation of the volume of water remaining is shown below:

The volume of the cone is

\(\pi r^2 \frac{h}{3}\\\\\pi \times 3^2 \times \frac{8}{3} \\\\\frac{72}{3} \pi \\\\24 \pi\)

Now since it is two-third so the remaining is one -third

\(= 24 \pi \times \frac{1}{3}\)

\(= 8 \pi\)

hence, the volume of water remaining is \(8 \pi\)

x = -20/7,u= -75/7

Step-by-step explanation:

Answer:

option c is correct

hope it helps

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer: 1. Describe a sequence of translations that would map Figure H onto Figure K.

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

2. Describe a sequence of translations that would map Figure J onto itself.

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

Step-by-step explanation:

Answer:

No solution in real numbers

Step-by-step explanation:

a+b=16

a*b=80

Unfortunately it does not have solution

Answer:

I think the question is mistyping or wrong

Step-by-step explanation:

A+B=16

A*B = -80

Convert to

A=16-B

Substitute

(16-B)*B=-80

16B-B^2+80=0

Change the sign to make it easier (multiply by negative number)

B^2 -16B-80

=(B - 4)(B + 20)

B1=-4 and B2=20

Then its match if the product is -80.

Or second option is, assuming that the sum is 18, not 16

The A would be 8 and the B would be 10