3x^2 + x + 8 and x^2-9

An increase in the rate of inflation will increase the nominal interest rate while lowering the real interest rate.

When the rate of inflation rises, it affects both the nominal and real interest rates. The nominal interest rate is the stated or observed interest rate, while the real interest rate is adjusted for inflation and represents the purchasing power of the interest earned or paid. Inflation erodes the purchasing power of money over time.

As inflation increases, lenders and investors demand higher nominal interest rates to compensate for the expected loss in purchasing power. However, while the nominal interest rate rises, the real interest rate, which takes inflation into account, decreases because the purchasing power of the interest earned or paid is reduced.

In summary, an increase in the rate of inflation will result in an increase in the nominal interest rate but a decrease in the real interest rate due to the erosion of purchasing power caused by inflation.

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The probability that the department store will get at most 3 calls in a 55 minute period is 0.066

The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.

It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute

Find the probability by Poisson distribution with parameter

λ = 223

P(X = x) = λˣе - λx!

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

   = (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)

  = 0.0006 + 0.004 + 0.018 + 0.043

P(X ≤ 3) ≈ 0.066

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Answer:

6/7

Step-by-step explanation:

First, cancel out 16 and 56 by a common factor of 8. The resulting expression is -2/5*-15/7. Then, simply 5 and 15 by a common factor of 5. Then, you will get: -2*(-3/7). The negatives cancel out, so the answer is 6/7.

\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

your slope should be 7/10

Step-by-step explanation:

The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

\(= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}\)

\(= x^4 + x^2 + x\)

.

Happy to help :)

The correct symbols that complete the statements are

h(0) = g(0)

h(1) > g(1)

From the question, we are to determine the correct symbols that complete the given statements

The given statements are

h(0) ___ g(0)

and

h(1) ___ g(1)

To complete the statements, we will find the values of the given functions from the graph

From the graph of h(x), we can observe that

h(0) = 4

and

From the graph of g(x), we can observe that

g(0) = 4

Thus,

The two functions are equal

h(0) = g(0)

Also,

From the graph of h(x),

h(1) = 3

and

From the graph of g(x),

g(1) = 2

That is, h(1) is greater than g(1)

Thus,

h(1) > g(1)

Hence, the correct symbols that complete the statements are

h(0) = g(0)

h(1) > g(1)

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Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Just write down exactly what it says!

The perimeter of a rectangle is 68 inches

68

The perimeter equals twice the length of L inches

68 = (2 × L)

Plus twice the width of 9 inches.

68 = (2 × L) + (2 × 9)

Now just clean up the equation.

68 = 2L + (2 × 9)

68 = 2L + 2(9)

The answer is 68 = 2L + 2(9).

Use the Pythagorean theorem to determine if the triangle is acute, obtuse or right triangle.

Since the sum of the square of the side of the two angles is less than the square of the longest side, then given the length of a triangle 18-29-46, the triangle is an obtuse triangle.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

iii. a

iv. d

Step-by-step explanation:

iii.

Area Small Semicircles:

Area Large Semicircles:

Area rectangle:

Area Garden:

Units: m²

A = \(\boxed{862} \text{m}^2\)

iv.

Area Field :

Price per m² = ₹2.50

Total Price :

P  = ₹\(\boxed{6,00,000}\)

-Chetan K

Answer:

d

Step-by-step explanation:

The slope is positive which makes the graph increase

Answer:

Step-by-step explanation:

(c). The slope is \(-\frac{1}{3}\) and y-intercept is 1

(d). The slope is 2 and y-intercept is 1

-- I assume, that the answer on given task ( Choose the graph that has a slope of 1/3 and a y-intercept of 1.​ ) is (a) or (b) --

Answer:

55

Step-by-step explanation:

Answer:

b). 18.3

Step-by-step explanation:

c² = a² + b² - 2bc (cos A)

= 12.4² + 9.9² - 2(12.4) (9.9) x cos(110)

= 153.76 + 98.01 - 245.52 x cos(110)

= 251.77 - 245.52 x -0.342

c² = 251.77 + 83.97

c² = 335.74

c = 18.3

Answer:

The value of 12/24 is equals to 0.5. Hence, this fraction is equivalent to 4/8.

Step-by-step explanation:

im not sure tho. hope u get it right.

Answer:

θ=67.38°

Step-by-step explanation:

Unit Circle

It's a circle with radius 1 where all the trigonometric functions are defined.

In the figure below the segment from the center to the point P forms an angle θ whose coordinates x and y are defined as:

x = cos θ

y = sin θ

We are given both coordinates (5/13,12/13). They should correspond to the same angle. Solving for θ:

\(\theta=\arccos (5/13)\)

\(\theta=67.38^\circ\)

And also:

\(\theta=\arcsin (12/13)\)

\(\theta=67.38^\circ\)

The coordinates correspond to the same angle, thus θ=67.38°

Answer:

The correct option is;

Low

Step-by-step explanation:

Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low

From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation  is very low.

The temperature of liquid in an experiment at 12 noon is -12° C and the equation is -3x + y

Given,

The temperature of a liquid in an experiment at 8.00 am = 0° C

The change in temperature every hour = -3° C

We have to find the temperature at noon.

Here,

Temperature at 8 am = 0° C

Temperature at 9 am = 0 + -3 = -3 ° C

Temperature at 10 am = -3 + -3 = -6° C

Temperature at 11 am = -6 + -3 = -9° C

Temperature at 12 noon = -9 + -3 = -12° C

That is,

The temperature of liquid in an experiment at 12 noon is -12° C

Now,

Equation;

Let x be the time and y be the previous hour's temperature.

Then,

-3x + y

Therefore,

The temperature of liquid in an experiment at 12 noon is -12° C and the equation is -3x + y

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Answer: 4,311

Step-by-step explanation:

Given three sequences. Sequence A is 30, 40, 50, 60, 70,... Sequence B is 0, 5, 15, 30, 50,..

Sequence C is 1, 2, 4, 8, 16,...

The formula describing the term of sequence A is given below:

The formula describing the term of sequence B is given below:

The formula describing the term of sequences C is given below:

The statement give '' If you are testing hypotheses and you find p-value which gives you an acceptance of the alternative hypotheses for a 1% significance level, then all other things being the same you would also get an acceptance of the alternative hypothesis for a 5% significance level '' is False.

The significance level, also known as the alpha level, is the threshold at which we reject the null hypothesis. A lower significance level indicates a stricter criteria for rejecting the null hypothesis.

If we find a p-value that leads to accepting the alternative hypothesis at a 1% significance level, it does not necessarily mean that we will also accept the alternative hypothesis at a 5% significance level.

If the p-value is below the 1% significance level, it means that the observed data is very unlikely to have occurred by chance under the null hypothesis. However, this does not automatically imply that it will also be unlikely under the 5% significance level.

Accepting the alternative hypothesis at a 1% significance level does not guarantee acceptance at a 5% significance level. The decision to accept or reject the alternative hypothesis depends on the specific p-value and the chosen significance level.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

The second one. The -2y should have been +2y

Step-by-step explanation:

a negative multiplied by a negative gives you a positive

Answer:

it should be the second answer

Step-by-step explanation:

hope this helps

Answer/Explanation

x    y

-1    -3

0     0

y- intercept (0,0)

slope: 3

In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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Answer:

Hello,

Answer A

Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

Step-by-step explanation:

(a,b,c) is a Pythagorien triple  : c²=a²+b²

and k is a naturel.

\((ka)^2+(kb)^2\\\\=k^2*a^2+k^2*b^2\\\\=k^2(a^2+b^2)\\\\=k^2c^2\\\\=(kc)^2\\\)

Answer:

Yes, as long as each number in the Pythagorean Triple is multiplied by the same whole number.

General Formulas and Concepts:

Pre-Algebra

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

In order for it to remain a Pythagorean triple, we must follow the equality rules. To make it the exact same expression, all parts of an equation must be multiplied or divided by the same number. If this is done, then it would also remain a Pythagorean triple, and hence we arrive at our answer.

Answer:b

Step-by-step explanation:

Answer:

arent u just rounding?

Step-by-step explanation: