What should be the next number in the following series? 3 6 4 7 5 8

Im not sure but i multiplied and got 1.134 for my answer

Answer:

The answer is b.

Step-by-step explanation:

You could represent the phone service price with an equation that is

y = 0.07x + 18

So the intercept in y is 18 when x is zero, that is the minimum price of the phone service.

56/7=8

Alexander was paid $8 per hour

Answer:

8 cookies

Step-by-step explanation

We start with 9 cookies:

9

"Giving away" 8 means subtracting 8 from 9:

9 - 8 = 1

"Buying" 7 more means adding 7 to 1:

1 + 7 = 8

Therefore, the kid has 8 cookies.

Answer:

1400 dollars

Step-by-step explanation:

Let the original price = 100

Less: saving of 40%   =  40

Reduced price            = 60

Reduce price of 60 is equivalent to 840 dollars

Hence original price of 100 is equivalent to

100/60 = x/840

Or x = 1400 dollars.

Original price actual = 1400 dollars.

Verify: Original price = 1400

           Less: 40%      =    560

            Reduced price  = 1400-560 =840 (given)

Hence verified

Answer:

1/6

Step-by-step explanation:

sim[le thought

Staci has vacuumed 1/6 of the entire house tonight.

The student's question concerns the portion of housework completed by Staci. As one of her chores, Staci must vacuum 1/2 of the house. She has already vacuumed 1/3 of her share tonight. To find out what part of the entire house has been vacuumed, we multiply the two fractions together.

Staci's share to vacuum is 1/2 of the house.

She has completed 1/3 of her share, which is 1/3 of 1/2.

To calculate the portion she has vacuumed, we multiply 1/2 by 1/3:

(1/2) x (1/3) = 1/6.

Therefore, Staci has vacuumed 1/6 of the entire house tonight.

Answer:

A

Step-by-step explanation:

Hope this helps

y = - [tex]\frac{1}{4}[/tex] x + 3

the equation of a line in slope-intercept form is

y = mx +c ( where m is the slope and c the y-intercept )

rearrange x + 4y = 12 into this form

subtract x from both sides

4y = - x + 12 ( divide all terms by 4 )

y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope-intercept form

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.          Here the card is chosen with replacement.  This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime.  Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5

When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other.  Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen.  This is not binomial.  Here probability for drawing nth time correct 5 is  P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope this is helpful to anyone in the future!

100 (1 + 0.1)^8

= 100 (1.1)^8

= 214

Answer

214 trucks registered in the city at the end of Year 8

[tex]f(x)=x^2-8\\\\g(x)=2x-5\\\\f(g(x))\to\text{instead of x write the equation of the function g(x)}\\\\f(g(x))=(2x-5)^2-8=(2x)^2-2(2x)(5)+5^2-8\\\\=4x^2-20x+25-8=4x^2-20x+17\\\\\text{used}\ (a-b)^2=a^2-2ab+b^2[/tex]

[tex]g(f(x))\to\text{instead of x write the equation of the function f(x)}\\\\g(f(x))=2(x^2-8)-5=(2)(x^2)+(2)(-8)-5=2x^2-16-5=2x^2-21[/tex]

The answer is B I hope I helped

The measure of an interior angle of a regular septagon is approximately 128.6 degrees, calculated using the formula (((n-2) times 180) / n), where n is the number of sides.

To find the measure of an interior angle of a regular septagon (a seven-sided polygon), we can use the formula for finding the measure of an interior angle in any regular polygon: ((n-2) times 180) / n, where n is the number of sides in the polygon. For a septagon, n = 7.

Using the formula: ((7-2) times 180) / 7 = (5 times 180) / 7 = 900 / 7 ≈ 128.6 degrees.

Therefore, the measure of an interior angle of a regular septagon is approximately 128.6 degrees. Hence, the correct answer is B.) 128.6.

The roots of a polynomial written in the form

[tex] (x-x_1)(x-x_2)(x-x_3)\ldots(x-x_n) [/tex]

Are exactly

[tex] x_1,\ x_2,\ x_3,\ldots x_n [/tex]

The multiplicity of a solution [tex] x_i [/tex] is how many times the parenthesis [tex] (x-x_i) [/tex] appears in the factorization of the polynomial.

So, if we write the powers explicitly, your polynomial is written as

[tex] (x + 5)^3(x - 9)^2(x + 1) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1) [/tex]

Which means that the solutions are:

The roots of  [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex] are:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

The given function is:

[tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex]

The roots of the function [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex] are the values of x that makes f(x) to be zero

To find the roots of the function [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex], equate each of the terms to zero

The multiplicity of the roots is the power of the term from which the root is gotten

Equate each of the terms to zero

[tex](x+5)^3 = 0\\x + 5 = 0\\x = -5[/tex]

Since the power is 3, the multiplicity is 3

One root is -5 with a multiplicity of 3

[tex](x-9)^2 = 0\\x - 9 = 0\\x = 9[/tex]

Since the power is 2, the multiplicity is 2

One root is 9 with a multiplicity of 2

[tex](x+1)^2 = 0\\x +1 = 0\\x = -1[/tex]

Since the power is 1, the multiplicity is 1

One root is -1 with a multiplicity of 1

Therefore, the roots of  [tex]f(x) = (x + 5)^3(x-9)^2(x+1)[/tex] are:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

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We are given

The average income, I, in dollars is

[tex]I=-425x^2+45500x-650000[/tex]

(a)

now, we are given

average income is $275000

so, [tex]I=275000[/tex]

now, we can set them equal

and then we can solve for x

[tex]275000=-425x^2+45500x-650000[/tex]

[tex]-425x^2+45500x-925000=0[/tex]

we will have to use quadratic formula

[tex]x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}[/tex]

[tex]x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}[/tex]

we get

[tex]x=27.28199[/tex]

[tex]x=79.776[/tex]

we need to find youngest age

It means that we need to choose smallest value

so,

[tex]x=27[/tex]............Answer

(b)

we are given

x=40

so, we can plug it and find I

[tex]I=-425(40)^2+45500(40)-650000[/tex]

[tex]I=490000[/tex]..............Answer

To find the youngest age for an average income of $275,000 for a lawyer, one would solve the quadratic equation formed by setting the income function equal to $275,000 and choosing the positive solution. The predicted average annual income of a 40-year-old lawyer is calculated by plugging 40 into the income function and rounding to the nearest dollar.

The student asked two questions about a quadratic function representing the average income of a lawyer by age.

Finding the youngest age for a certain average income

To find the youngest age at which the average income of a lawyer is $275,000, we set the quadratic income function I = -425x^2 + 45,500x – 650,000 equal to $275,000 and solve for x. After simplifying, we get a quadratic equation that can be solved using factorization, completing the square, or applying the quadratic formula. Once we find the values for x, we select the positive solution since age cannot be negative, and round it to the nearest year.

Predicted average annual income for a 40-year-old lawyer

To determine the average income for a 40-year-old lawyer, we substitute x = 40 into the given income model and calculate the value of I. The result will be the predicted average annual income of a 40-year-old lawyer, rounded to the nearest whole dollar.

x + 5.39 > 4.48

   -5.39   -5.39

x            > -0.91

Answer: x > -0.91

The two points (0,0) and (4,5) are on the line. The points are marked in blue in the attached image below.

Use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (5-0)/(4-0)

m = 5/4  <----- this is the answer in fraction form

m = 1.25 <----- this is the answer in decimal form

The idea of the slope formula is we're subtracting the y values together, then subtracting the x values together in the same order, finally we divide the two results and reduce if possible to get the fraction form. Use long division or a calculator to find the decimal form of the fraction. In this case, the rise is 5 and the run is 4. Meaning we go up 5 units and over to the left 4 units to go from (0,0) to (4,5).

Answer:

the answer would be c. 0.40x

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can solve this problem we need to turn the percentage into decimal form. We do this by moving the decimal to digits to the left like so...

40.0%    ⇔    0.40

Now that we have the percent in decimal form we can create the algebraic expression. To be able to find the percent of a number, we have to multiply the decimal form of the percent by the given number. That being the case the expression would be....

[tex]0.40x[/tex]

Therefore, the answer would be c. 0.40x

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Two-fifths of 1/4 acre is [tex]\(\frac{1}{10}\)[/tex]  acre planted in orange trees.

Sure, here's a detailed stepwise solution with explanation:

1. **Understand the problem**: The Avocados own a 1/4 acre orchard, and two-fifths of the orchard is planted in orange trees. We need to find the fraction of an acre planted in orange trees.

2. **Identify the fractions**: Let's represent the fractions given in the problem:

  - Fraction of the orchard planted in orange trees: [tex]\( \frac{2}{5} \) - Total acreage of the orchard: \( \frac{1}{4} \)[/tex]

3. **Multiply the fractions**: To find the fraction of an acre planted in orange trees, we multiply the fraction of the orchard planted in orange trees by the total acreage of the orchard.

4. **Perform the multiplication**: Multiply the fractions:

  [tex]\[ \frac{2}{5} \times \frac{1}{4} \] \[ = \frac{2 \times 1}{5 \times 4} \] \[ = \frac{2}{20} \][/tex]

5. **Simplify the fraction**: The fraction[tex]\( \frac{2}{20} \) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. \[ \frac{2}{20} = \frac{1}{10} \][/tex]

6. **Interpret the result**: The simplified fraction  [tex]\( \frac{1}{10} \)[/tex] represents one-tenth of an acre planted in orange trees.

7. **Conclusion**: Therefore, one-tenth of an acre is planted in orange trees in the Avocados' orchard.

The relationship between Kelvin and degrees Celsius is not proportional in any way.

The temperature is the degree of the hotness and the coldness.

We know that

1 Kelvin = -273.15 degree Celsius

Kelvin is a unit of absolute temperature used in measurements and it can also be associated with degrees Celsius.

0 Kelvin is equivalent to -273.15 degrees Celsius.

In order to solve for the unit of temperature, the equation is:

T(Kelvin)= T(degrees Celsius) + 273.15

T(degrees Celsius) = T(Kelvin) - 273.15

The relationship between Kelvin and degrees Celsius is not proportional in any way.

Learn more about temperature;

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For this problem, you don't need to know how much the pencils cost. You're only finding how much the 10 nickels are worth.

Start by knowing how much one nickel is worth. A nickel is worth five cents in US currency. Since you know the worth of one nickel, you can find the worth of ten nickels by multiplying ten nickels by five cents (0.05).

Multiply 10 by 0.05.

10 * 0.05 = 0.5

0.5 is equal to 50 cents in US currency, so this means that Ginger has 50 cents to spend to buy pencils at the school store.

Answer:

You should find the discounted price of the gear first.

The discount should be calculated on the original $100 price.

Step-by-step explanation:

Now let's check the answer options:

You can simplify the problem by calculating 33% of $100.

You should find the discounted price of the gear first.

The tax should be calculated on the original $100 price.

The discount should be calculated on the original $100 price.

Answer:

You should find the discounted price of the gear first.

The discount should be calculated on the original $100 price.

Step-by-step explanation:

Your Welcome;)

Answer:

The percent of change in quantity is 25%.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You must use the following formula:

%[tex]change=(\frac{new-old}{old})(100)[/tex]

2. You have that the old quantity was 16 oz and the new quantity is 20 oz. Therefore, you only need to substitute these values into the formula shown above, as following:

%[tex]change=(\frac{20oz-16oz}{16oz})(100)=25[/tex]%

The quantity of the fruit drink sold has increased by 25% after changing from 16-ounce containers to 20-ounce containers.

To determine the percent of change in quantity for the fruit drink, you'll first need to ascertain the difference in size between the two containers. In this case, the original size was 16 ounces and the new size is 20 ounces. Thus, the change in size is 20 ounces - 16 ounces = 4 ounces.

To calculate the percent of change, we divide this change in size by the original size, and then multiply by 100 to convert to a percentage. This can be summarized by the formula: ((new size - original size) / original size) * 100.

Substituting the given values into this formula, we get: ((20 - 16) / 16) * 100 = 25%.

Therefore, the fruit drink has increased in quantity by 25%.

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36 times 0.25 is 9

9+36=45

The original price was $45

So here are the rules of horizontal asymptotes:

Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that this function has no horizontal asymptote.

Answer: (x - [tex]2i\sqrt{13}[/tex])(x + [tex]2i\sqrt{13}[/tex])

Step-by-step explanation:

x² + 52 = 0

x² = -52

[tex]\sqrt{x^{2} } = \sqrt{-52}[/tex]

x = +/-  [tex]\sqrt{52}[/tex]

x = +/-  [tex]i\sqrt{2*2*13}[/tex]

x = +/-  [tex]2i\sqrt{13}[/tex]

(x - [tex]2i\sqrt{13}[/tex])(x + [tex]2i\sqrt{13}[/tex]) = 0

Answer:

Answer is 225.

We have to find the sum of 15 terms of the series

sigma 1 to 15 (2n-1)

This can be split as per summation terms as

sigma 2n - sigma 1

sigma 2n can again be simplified by taking 2 outside

sigma 2n= 2 times sum of natural numbers of 1 to 15

= 2(15)(16)/2= 240

sigma 1= 1+1+...15 times= 15

Hence final answer is

= 2 times sigma n - (n) = 240-15 = 225.

Step-by-step explanation:

Step-by-step explanation:

Question 2) Answer

Use Arithmetic Series Formulas:

a) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference

6th row = 23 + (6 - 1) x -3

            = 23 + (5) x -3

            = 23 + (-15)

            = 8 - number of boxes in the top row.

b) Sum = N/2[2F + (N - 1) x D]

            = 6/2[2*23 + (6 - 1) x -3]

             = 3  [46  +    (5) x -3 ]

             = 3  [46  +      -15 ]

             = 3  [ 31 ]

             = 93 - total number of boxes in the entire display.

Question 3) Answer

Sum of the 8 first terms of the geometric progression with the first term 50 and the common ratio of 2:

=50 + 5*2 + 50*2^2 + . . . + 50*2^7

= 50*(1 + 2 + 2^2 + . . . + 2^7) = 50*(2^8-1)

= 50*(256-1) = 50*255

= 12750 Answer

I am also attached the solved question of this assignment please check and enjoy. Thanks