Please help me with this

Answer:

Step-by-step explanation:

Given sequence:

It is an AP with:

Nth term of this sequence is:

Correct option is d.

Answer:

Step-by-step explanation:

where, L is the last term;

a is the first term ;

n is the number of terms;

and d is the common difference.

Therefore, the last term is (5n-9).

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

(x - 2) is not a factor of f(x), because x = 2 is not a zero of the polynomial.

A term (x - k) is a factor of a polynomial p(x) only if k is a zero of the polynomial, which means that:

P(k) = 0

Here we want to see if (x - 2) is a factor of f(x) = x³+8x²-31x+22, then we just need to evaluate f(x) in x = 2 to check if this is a zero or not.

f(2) = 2³+8*2²-31*2 + 22

f(2) = -24

This is not zero, then (x - 2) is not a factor of the polynomial.

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The radius of the beach ball is 2.50 feet

The formula for calculating the surface area of a sphere is expressed as;

SA = 4πr²

Such that the parameters of the formula are;

Now, substitute the values, we get;

78. 54 = 4 ×3.14 × r²

Multiply the values, we get;

78.54 = 12. 56r²

Divide both sides by the coefficient of r, we have;

r² = 6. 25

Find the square root of both sides;

r = 2. 50 ft

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The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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y ( x) =  \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.

One or more functions and [some of] their derivatives are connected by a differential equation. The [first] derivative of the function with respect to the variable is illustrated in the following example. Differentials are a term used to describe the and elements.

given

1/4 y'' + y' + y = x2 − 3x

The auxilary equation is

1/4 \(m^{2}\) + m + 1 = 0

\(m^{2}\) + m + 1 = 0

\(( m- 2)^{2}\) = 0

m = -2 , -2

= A =1 , 2A+ B = -3 , 1/2A + B = 0

A = 1 , B = - 5 , C = 9/ 2

Then the general solution is

y = yc + yp

y ( x) =  \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.

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Answer:

quotient im pretty sure i haven't been in 6th grade in 2 years so sorry if im wrong

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

x equals to -3 is the standard form

Answer:

The answer would be x = -3

That forms the straight line at the x = -3 point

The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.

Using the number base conversion system,  the sum of the given numbers in base ten is determined as follows:

888₉ + 555₆ + 222₂ = X₁₂

888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰

888₉ = 728

555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰

555₆ = 215

222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰

222₃ = 26

888₉ + 555₆ + 222₂ = 728 + 215 + 26

888₉ + 555₆ + 222₂ = 969

969 = X₁₂

969 = 689₁₂

Hence, X = 689

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For the given values, the value of line AC has a value of 7 units.

There are two subsets of lines: line segments with two end points and rays with one beginning point and an infinite length on the other side, each symbolized by an arrow.

A line with several segments is provided in accordance with the supplied figure.

Segment BC equals 4, Segment BD equals 12, Segment AD equals 15, and Segment AC must be located.

Since, AC = AB + BC.

(AD - BD) Plus BC Equals AC.

AC = ( 15 - 12 ) + 4.

AC = 3 + 4

AC = 7.

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Complete Question -

in the figure below, B is between A and C and C is between B and D. if BC=4, BD=12, and AD=15 and AC

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

first one is answer

Step-by-step explanation:

nfenrgrmhrgrj

Answer:

B

Step-by-step explanation:

A discrete function is one which has points rather than continuous lines when it is graphed.

o  o   o  o    o     o      o is a discreet function.

The function given is not discreet. Every n value after n has been defined above or equal to 20 is continuous. You could argue that what about numbers below 20. They don't have values associated with them. But after the restriction is obeyed, the function has no holes.

if  you let g(n) = y and substitute y for the left side of the function, you get

y = (3/5)n - 12) that's much more familiar or should be, so the function is continuous and linear.

The answer is B.

Answer:

about 4.58 feet

Step-by-step explanation:

\( {2}^{2} + {x}^{2} = {5}^{2} \)

\(4 + {x}^{2} = 25\)

\( {x}^{2} = 21\)

\(x = 4.58\)

The probability that the mean weight of the sample of horses would differ from the population mean by less than 7lbs if 41 horses are sampled at random from the stable is 0.3823

In this question, we have been given  the horses in a large stable have a mean weight of 1124lbs, and a standard deviation of 150lbs.

We need to find the probability that the mean weight of the sample of horses would differ from the population mean by less than 7lbs if 41 horses are sampled at random from the stable.

μ = 1124 lbs, σ = 150 lbs, n = 41,

s = 150/(√41)

  = 23.43

pvalue of Z when X = 1124 + 7 = 1131 subtracted by the pvalue of Z when X = 1124 - 7 = 1117

So by the Central Limit Theorem,

Z = (1131 - 1124)/23.43

Z = 0.2987  has a pvalue of 0.7651

for X = 1117,

Z = (1117- 1124)/23.43

Z = -0.2988 has a pvalue of 0.3828

0.7651 -  0.3828 = 0.3823

Therefore, the probability that the mean weight of the sample of horses would differ from the population mean by less than 7lbs if 41 horses are sampled at random from the stable is 0.3823

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Answer:

when -1 > x it is decreasing

when -1 < x < 1 it is increasing

when x > 1 it is decreasing

Step-by-step explanation:

The number of chicken wings Aaron bought for 28.60 dollars is 13.

He bought 17 chicken wings for $37.40.

He spent $28.60 worth of chicken wings.

Therefore,

17 chicken wings = $37.40

1 chicken wing = ?

cross multiply

1 chicken wing = 37.40 / 17

1 chicken wing = 2.2 dollars

Therefore,

2.2 dollars = 1 chicken wing =

28.60 dollars = ?

number of chicken wings = 28.60 / 2.2

number of chicken wings = 13

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Answer:

The answer is 6.

Step-by-step explanation:

If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.

You would divide 270 ÷ 45 = 6.

The required number of teachers for the trip is 12.

Given that,
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone is to be determined.

Proportionality is defined as between two or more groups of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the number of teachers is x and the number of students is y, which are directly proportional to each other
y ∝ x
y = km
where k is the constant proportionality.

at y = 45 x = 2
45 = K * 2
K = 45 / 2
Now,
y = 45/2 x
Now for y =270
270 = 45 / 2 x
x = 270 * 2 / 45
x = 12

Thus, the required number of teachers for the trip is 12.

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Answer:

624,062.58 is your answer :)

Step-by-step explanation:

The probability of a specific pair being heads is 1/2 × 1/2 = 1/4. The expected value of X is the sum of the probabilities for each pair, E(X) = 3 × 1/4 = 3/4.

In a sequence of 4 coin flips, let A be the event of 2 consecutive heads and B be the event of having tails in the first or last flip. To prove independence, we must show P(A ∩ B) = P(A)P(B). P(A) = 1/2 × 1/2 × (3/4) = 3/16, since there are 3 ways to get 2 consecutive heads. P(B) = 1 - P(both first and last are heads) = 1 - 1/4 = 3/4. Now, consider the sequences HTHH and THHT. P(A ∩ B) = 2/16 = 1/8, but P(A)P(B) = 3/16 × 3/4 = 9/64. Since P(A ∩ B) ≠ P(A)P(B), events A and B are not independent.
For 2.2, let X be the random variable of how many pairs of consecutive flips yield heads. There are 3 pairs of consecutive flips: (1,2), (2,3), and (3,4). The probability of a specific pair being heads is 1/2 × 1/2 = 1/4. The expected value of X is the sum of the probabilities for each pair, E(X) = 3 × 1/4 = 3/4.

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By performing some simple mathematical operations, we know that Sophia earns $366 per hour.

So, to calculate how much Sophia earns in 1 hour:

Now, calculate earnings per hour:

Rounding off: $366

Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.

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Complete question:

Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.

sophia earns $___ per hour

Answer:

x ≈ 12.182

Step-by-step explanation:

1 - 2lnx = - 4 ( subtract 1 from both sides )

- 2lnx = - 5 ( divide both sides by - 2 )

lnx = 2.5

x = \(e^{2.5}\) ≈ 12.182 ( to the nearest thousandth )

Answer:

x = 12.182  (nearest thousandth)

Step-by-step explanation:

Given equation:

\(1-2 \ln x=-4\)

Subtract 1 from both sides:

\(\implies 1-1 -2 \ln x =-4-1\)

\(\implies -2 \ln x=-5\)

Divide both sides by -2:

\(\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}\)

\(\implies \ln x = \dfrac{5}{2}\)

\(\textsf{As }\: \ln x=\log_ex \:\:\textsf{}\), the natural logarithm can be canceled by giving both sides a base of e (Euler's number):

\(\implies e^{\ln x}= e^{\frac{5}{2}\)

\(\implies x= e^{\frac{5}{2}\)

\(\implies x=12.182\:\: \sf (nearest\:thousandth)\)

$12500 - 30%

=

$8750

Step-by-step explanation:

10% of $12500 = $1250

10% × 3 = 30% = $1250 × 3 = $3750

30% = $3750

$12500 - $3750 = $8750

Answer:

\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{v} \huge\mathfrak\green{e} \huge\mathfrak\pink{d}\huge\mathfrak\orange{➔}\ \)\(2 + 2 = 4\)

Answer:

Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Step-by-step explanation:

Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:

12 + 7 = 19

44 - 19 = 25

44 + 25 = 69

(12 + 25) + (7 + 25) = 37 + 32 = 69

Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Pn(Z>zp)=1−p%

Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a

is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:

\(z=\frac{x-\mu}{\sigma}\)

The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.

The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.

Pn(Z>zp)=1−p%

Here Pn is the probability for the standard normal variable.

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Answer:

It is d 15cm

sorry if its wrong

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

Step-by-step explanation:

Answer:

x=5, y=7

Step-by-step explanation:

2x+4y= 38

+7x-4y= 7

9x= 45

9x/9= 45/9

x=5

2x+4y=38

2(5)+4y= 38

10+4y= 38

-10 -10

4y= 28

4y/4= 28/4

y=7