7. What is the ratio of the interior angles of a pentagon and a decagon?​

Hello User,

I'm not sure if this is the correct answer but I try..

Answer : 17.50

Steps:

Alexander total $1,680 per year

load payment is 2/25 of his monthly income  (2/25=0.08)

So 1,680 divided by 12 (cause 12 month in a year)= 140

140 divided by 0.08 = 1750

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:

437.999 + 0.001 = 438

Step-by-step explanation:

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

\(\frac{5}{2}\)

Step-by-step explanation:

5a - 3a = 6a -10  On the left side of the equation, we will combine the like terms.  5a and -3a are like terms.  If I was on a number line and I started at 5 and went 3 spaces towards the negative numbers, where would I be?  2

2a = 6a - 10  I want to get the variable a on only one side of the equation.  I am trying to isolate the variable.  Right now, we have a's on the both the right and left side of the equation.  Let's subtract 6a from both sides of the equation

-4a = -10  The last step is to divide both sides by -4

a = \(\frac{10}{4}\)

\(\frac{10}{4}\)÷\(\frac{2}{2}\) = \(\frac{5}{2}\) or 2.5 or 2\(\frac{1}{2}\)

Answer:

 a = \(\frac{5}{2}\)

Step-by-step explanation:

Alright so i´ll explain

you are going to combine 5a and -3a to get 2a

2a= 6a -10

then you are going to subtract 6a from both sides

2a-6a= -10

then combine 2a and -6a to get -4a

-4a= -10

then divide both sides by -4

a=\(\frac{-10}{-4}\)

and last reduce the fraction to the lowest term, extract and cancel out -2

and the final answer is a = \(\frac{5}{2}\)

Let me know if you have any doubt, important to be aware of the positive and negative signs

Answer:

marketing

Step-by-step explanation:

i took the test on edge. and got it right

Answer:

Step-by-step explanation:

Using the remainder theorem we get:

\(f(-2)=-5\),  \(f(1)=4\), and \(f(-1)=0\)

So we get

\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)

                 \(-8p+8+4p-2q+r=-5\)

                              \(-4p-2q+r=-13\)  \((a)\)

\(f(1)=(p-1)+p+q+r=4\)

                       \(2p+q+r=5\)               \((b)\)

\(f(-1)=-(p-1)+p-q+r=0\)

                                 \(-q+r=-1\)    \((c)\)

We need to solve (a), (b) and (c) simultaneously to find p,q, and r.

from \((c)\)  \(r=q-1\). Sub this into (a) and (b):

\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\)    \((d)\)

      \(2p+q+(q-1)=5 \rightarrow q=3-p\)              \((e)\)

Sub (e) into (d) we get

\(-4p-(3-p)=-12 \rightarrow p=3\)

Sub \(p=3\) into \((e) \rightarrow q=0\)

Sub  \(p=3,q=0\) into \((c) \rightarrow r=-1\)

SOLUTION: \(p=3,q=0,r=-1\)    

So \(f(x)=2x^3+3x^2-1\)

by dividing (x+1) into f(x) we get  (I am not showing working for this division)

\(f(x)=(x+1)(2x^2+x-1)\)

\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)

Answer: 4000

Step-by-step explanation:

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

\(h(t) = -0.08t^{2} + 1.6t + 2\)

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

\(h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2\)

The initial height of the balloon is 2 feet.

Answer:

o.ooo7

Step-by-step explanation:

The square root of 49/10,000 is 0.0007.

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The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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Answer:

$170

Step-by-step explanation:

Sally costs 30

Max costs 40

Goliath costs 80(1.25) = 100

add them up

$170

Answer:

O a=0

Step-by-step explanation:

It is 39

Because you have to count the little dots all the way till it is around the most age.

Using the normal distribution, we have that:

a) The percentage of men who can fit without bending is 0.02%.

b) A. The door design is​ inadequate, but because the jet is relatively small and seats only six​ people, a much higher door would require major changes in the design and cost of the​ jet, making a larger height not practical.

c) The doorway height that would allow​ 40% of men to fit without bending is 67.2 inches.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For men, the mean and the standard deviation are given by:

\(\mu = 68.1, \sigma = 3.4\)

The proportion that can fit without bending is the p-value of Z when X = 56.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (56.1 - 68.1)/3.4

Z = -3.53.

Z = -3.53 has a p-value of 0.0002.

The percentage of men who can fit without bending is 0.02%.

This is a very small percentage. For women, more than half of them will also have to bend, as their mean height is above 56.1. However, since the capacity of the airplane is small, the correct option for item b is given by:

A. The door design is​ inadequate, but because the jet is relatively small and seats only six​ people, a much higher door would require major changes in the design and cost of the​ jet, making a larger height not practical.

The doorway height that would allow​ 40% of men to fit without bending is X when Z has a p-value of 0.4, so X when Z = -0.253.

Then:

-0.253 = (X - 68.1)/3.4

X - 68.1 = -0.253 x 3.4

X = 67.2.

The doorway height that would allow​ 40% of men to fit without bending is 67.2 inches.

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The Perimeter of a triangle ΔABC  is 27.68

Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)

We need to find the perimeter of a triangle as

Perimeter of a triangle ΔABC = AB + BC +CA

Now we need to find distances as

D = √ (x₂ - x₁)² + ( y₂ - y₁ )²

AB = √ (4 - (-2))² + (  3 - (-1) )²

     = √ ( 4 + 2 )² + ( 3+1 )²

    = √ (6)² + (4)²

    = √ 36 + 16

    = √ 52

    = 7.21

BC = √ ((-5) - (4))² + (  7 - (3) )²

     = √ (-5 -4 )² + ( 7-3 )²

    = √ (-9)² + (4)²

    = √ 81 + 16

    = √ 97

    = 9.84

AC = √ ((-5) - (-2))² + (  7 - (-1) )²

     = √ (-5 -2 )² + ( 7+1)²

    = √ (-7)² + (8)²

    = √ 49 + 64

    = √ 113

    = 10.63

Perimeter of a triangle ΔABC = AB + BC +CA

                                                 = 7.21 + 9.84 + 10.63

                                                 = 27.68

Therefore, the Perimeter of the given triangle ΔABC  = 27.68

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The sum of the series b 2 b 4 b 6 b 8 b {10} is \($\dfrac{180}{3}$\) since it is a geometric series with a common ratio of \($\dfrac{7}{4}$\).

Since the given series \($b 1 b 2 b 3 \cdots b {10}$\) has a sum of 180, it can be deduced that the series is a geometric series with a common ratio of\($\dfrac{7}{4}$\). This means that the ratio of any two consecutive terms in the series is a constant, \($\dfrac{7}{4}$\). Therefore, the sum of the series b 2 b 4 b 6 b 8 b {10} can be calculated as follows:

\($S = b2 + b4 + b6 + b8 + b_{10}$\)

\($= b2\left(\dfrac{7}{4}\right)^0 + b2\left(\dfrac{7}{4}\right)^2 + b2\left(\dfrac{7}{4}\right)^4 + b2\left(\dfrac{7}{4}\right)^6 + b2\left(\dfrac{7}{4}\right)^8$\)

\($= b2 \left[1 + \left(\dfrac{7}{4}\right)^2 + \left(\dfrac{7}{4}\right)^4 + \left(\dfrac{7}{4}\right)^6 + \left(\dfrac{7}{4}\right)^8\right]$\)

\($= b2 \left[\dfrac{1-\left(\dfrac{7}{4}\right)^{10}}{1-\left(\dfrac{7}{4}\right)^2}\right]$\)

\($= b2 \left[\dfrac{1-\left(\dfrac{7}{4}\right)^{10}}{\dfrac{3}{4}}\right]$\)

\($= \dfrac{4b2}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)

Since the sum of the series\($b 1 b 2 b 3 \cdots b {10}$\) is 180, we can substitute $b2$ with \($\dfrac{180}{3}$\)nd calculate the sum of the series $b 2 b 4 b 6 b 8 b {10}$:

\($S = \dfrac{4\left(\dfrac{180}{3}\right)}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)

\($= \dfrac{180}{3} \left[1-\left(\dfrac{7}{4}\right)^{10}\right]$\)

Therefore, the sum of the series \($b 2 b 4 b 6 b 8 b {10}$ is $\dfrac{180}{3}$\).

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The domain of the given function is the hours or time taken whereas the range will be the concentration and greatest concentration of the medication that a patient will have in their body is 8 mg/L.

What is Domain of a function?

Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Therefore, The domain of the given function is the hours or time taken.

What is range of a function?

The collection of potential output values for a function is known as its range.

Therefore, the range of the function is concentration.

B) Graph of the function is attached and we can see from the graph that greatest concentration of the medication that a patient will have in their body is 8 mg/L.

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1. The probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond is 1/2.

3. The probability of selecting a number smaller than 9 is 9/13.

1. The probability of selecting a 3 of Diamonds:

There is only one 3 of Diamonds in the deck, and the total number of cards in the deck is 52. Therefore, the probability of selecting a 3 of Diamonds is 1/52.

2. The probability of selecting a Club or Diamond:

There are 13 Clubs and 13 Diamonds in the deck, making a total of 26 cards. The probability of selecting a Club or Diamond is the ratio of the number of favorable outcomes (Club or Diamond) to the total number of possible outcomes (52 cards). Therefore, the probability is 26/52, which simplifies to 1/2.

3. The probability of selecting a number smaller than 9:

There are four suits in the deck (Clubs, Diamonds, Hearts, and Spades), and each suit has cards numbered 2 to 10. So, there are 4 suits * 9 cards per suit = 36 cards that are numbered smaller than 9.

The probability of selecting a number smaller than 9 is the ratio of the number of favorable outcomes (36 cards) to the total number of possible outcomes (52 cards). Therefore, the probability is 36/52, which simplifies to 9/13.

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Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong

Answer:

1.80

Step-by-step explanation:

1%=0.01

10%=0.10

100%=1.00

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

Answer:

1/9x

Step-by-step explanation:

The parenthesis around the 9x means that the -1 exponent goes to the whole thing (the 9x) To "fix" a negative exponent push the 9x across a fraction bar to make the exponent positive. When you push the 9x down across a fraction bar that leaves a 1 on top of the fraction, that has nothing to do with the 1 exponent. Its a 1 on top because when you push the 9x down there is nothing left on top so it is a 1.

(9x)^-1

= 1/9x

To be clear, this is a 1 one top and a 9x on the bottom of a fraction.

1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

The diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.

Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.

In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

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The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

.............It should be 10 :)