Solve for x . Enter the solutions from least to greatest.
x^2 – 12x + 27 = 0
lesser x=
greater x =

in the sample of 100 respondents from Vermont, 65.3% of them reported exercising for at least 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week can be calculated as:

sample proportion = 65.3% = 0.653

what is minute?

In this context, "minute" likely refers to the amount of time spent exercising per day. Specifically, the survey asked if participants had exercised "more than 30 minutes a day for three days out of the week."

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Answer:

Answer Expert Verified

We are given that there is a 20% sale in the store. Moreover, the sale price of an item is p - 0.2p, where p is the price of the item. So, we get that, p - 0.2p is equivalent to 0.8p

The correct sum of the polynomial is \(\rm 6x^3 + 3x - 6\).

We have to determine

The correct sum of the polynomials.

Sum of the polynomials is just a matter of combining like terms, with some order of operations.

Then,

The correct sum of the polynomial is;

\(\rm (4x^3 - 2x - 9) + (2x^3 + 5x + 3) \\\\ 4x^3 - 2x - 9 + 2x^3 + 5x + 3\\\\ 6x^3 + 3x - 6\)

Hence, the correct sum of the polynomial is \(\rm 6x^3 + 3x - 6\).

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The expression "= 2a + (10 - 4)" represents the simplified expression "= 2a + 6," which combines the variable "a" and the constant 6.

The expression "= 2a + (10 - 4)" represents an algebraic equation that combines variables, constants, and arithmetic operations. It is an expression that can be simplified or evaluated, but it is not a property. Instead, it represents an equation or an expression that can be further simplified.

To simplify the expression, we can perform the operations within the parentheses first:

= 2a + (10 - 4)

= 2a + 6

Now, we have a simplified expression "= 2a + 6". This expression represents the sum of 2 times the variable "a" and 6. It is important to note that without additional information or context, we cannot determine the value of "a" or solve the equation.

In summary, the expression "= 2a + (10 - 4)" represents the simplified expression "= 2a + 6," which combines the variable "a" and the constant 6.

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Answer:

14 - n.

Step-by-step explanation:

If he donated 'n' shirts, we can simply subtract 'n' from his initial amount of shirts, which is stated as '14'. Therefore:

'14 - n' is an expression that can represent how many shirts are remaining after he donated them.

Answer: The Answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

n=7

Answer:

A. 2.6

Step-by-step explanation:

(2.6 × 105) ÷ (6.8 × 104)

=2.6

Answer:

-2 is the y intercept

Step-by-step explanation:

this is because it is in the y=mx+b format so 5x=mx therefore b=-2 making -2 the y intercept

Answer:

Step-by-step explanation:

The y intercept is the value where x = 0

y = 5(0) - 2

The y intercept is (0,-2).

The best way to confirm this is to graph it. Use Desmos.

Answer:

h= 2A/a+b

Step-by-step explanation:

you know the gig

Answer: gay

Step-by-step explanation:

Answer:

7+6x

Step-by-step explanation:

That is the equation in numeral form

Answer:

120 peices of candy

Step-by-step explanation:

24/3

so one peice of candy is 8 cal, then 960/8 equals 120

Answer:

1. SSS

2. SAS

3. ASA

4. SAS

5. SSS

6. ASA

7. AAS

II. (The one with two triangles facing each other from the tip) SAS

II. (The other one) Non congruent

12. SSS

Answer:

answer is 63 degrees

Step-by-step explanation:

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

For the given data of population of two cities Sudbury and Victoria , the ratio of the population of the two cities in the beginning of 1996 is given by :

Sudbury (x) / Victoria (y)  = 57 /47.

As given in the question,

Let us consider population of Sudbury city be 'x'

And population of Victoria be 'y'

Given:

Population of Sudbury decreased by 6%

= x - ( 6%of x)

= x - (6x/100)

= 94x/100

Population of Sudbury increased by 14%

= y + ( 14%of y)

= y + (14y/100)

= 114y/100

Ratio of the population of the two cities in the beginning of 1996 is given by:

Population of two cities were equal

94x/100 = 114y/100

⇒ x / y = 114 /94

⇒ x / y = 57 /47

Therefore, for the given data of population of two cities Sudbury and Victoria , the ratio of the population of the two cities in the beginning of 1996 is given by :

Sudbury (x) / Victoria (y)  = 57 /47.

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There are 126 ways to select ten comics if we choose at least one of each book.

Here we have a total of 6 different comics.

Now we have selected 10 comics such that we have at least one comic each.

Let's select one copy of each copy. This can be done in 1 way. Thus we are left with 4 comics to select from 6 different comics.

This is a  repetition and unordered form of selection since each comic can have n number of copies.

This can be done in C(6+4-1 , 4-1) ways.

So the correct answer is C(9, 3) ways.

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Answer:

8 plates per stack

Step-by-step explanation:

Answer:

8 plates per stack

Step-by-step explanation:

if wrong I am so sorry

Answer:

She would need 6/4 or 1 1/2 cups juice

Step-by-step explanation:

Answer:

1.5 cups of juice.

Step-by-step explanation:

1 / 0.5 = 2

0.75 x 2 = 1.5

Answer:

c) slope: -7 ; y-intercept: 2

Step-by-step explanation:

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note in this case:

y = (-7)x + 2

y = y

m = -7

x = x

b = 2

c) slope: -7 ; y-intercept: 2 is your answer.

~

It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

it costs the zoo 0.86 per day to feed each bat a variety of soft fruits. Hence:

Cost of 17 egyptian fruit bats = $0.86 per day * 17 = $14.62

It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62

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The roots of the function f(x) =\(x^3 + 3x^2 + x - 5\) are approximately x ≈ -2.27 (real root) and x ≈ -0.36 + 1.56i, x ≈ -0.36 - 1.56i,   \((x-1)(x^3+3x^2+x-5)\).

To find the roots of the function f(x) = x^3 + 3x^2 + x - 5, we need to solve for values of x that make the function equal to zero.

One approach to finding the roots is by using factoring or synthetic division, but in this case, the function does not have any obvious rational roots. Therefore, we can use numerical methods such as the Newton-Raphson method or graphing techniques to approximate the roots.

Using a graphing calculator or software, we can plot the function f(x) = x^3 + 3x^2 + x - 5. By analyzing the graph, we can estimate the x-values where the function intersects the x-axis, indicating the roots.

Upon analyzing the graph or using numerical methods, we find that the function has one real root approximately equal to x ≈ -2.27.

The other two roots are complex conjugates, which means they come in pairs of the form a + bi and a - bi. For this particular function, the complex roots are approximately x ≈ -0.36 + 1.56i and x ≈ -0.36 - 1.56i.

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Answer: 1.662E-7 square kilometers

Step-by-step explanation:

A circle of radius = 23 or diameter = 46 or circumference = 144.5 cm has an area of: 1.662E-7 square kilometers (km²) 0.1662 square meters (m²)

Answer:

1.206

Step-by-step explanation:

13.4 × 0.05 × 1.8

= 67/5 × 5/100 × 9/5

= 603/500

= 1.206

(a) The expressiοn that represents amοunt οf canned fοοd cοllected by  the three friends =  5x² + 5xy - 9

(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17

An expressiοn is a way οf writing a statement with mοre than twο variables οr numbers with οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Example: 2 + 3x + 4y = 7 is an expressiοn.

It is given that,

number οf cans cοllected by Jessa = 5xy + 17

number οf cans cοllected by Tyree = x²

number οf cans cοllected by Ben = 4x² - 8  

Part(a)

tοtal number οf cans cοllected by three friends = cans cοllected by Jessa + Tyree + Ben

= 5xy + 17 + x² + 4x² - 8

= 5x² + 5xy - 9

Part(b)

the gοal οf fοοd cans cοllected = 8x² − 4xy + 8

Sο, the number οf fοοd cans still left tο cοllect = gοal - (number οf cans cοllected)

= (8x² − 4xy + 8) - (5x² + 5xy - 9)

= 8x² - 5x² - 4xy − 5xy + 8 + 9

= 3x² - 9xy + 17

Therefοre,

(a) The expressiοn that represents amοunt οf canned fοοd cοllected by the three friends = 5x² + 5xy - 9

(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17

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Answer:

-4.7

Step-by-step explanation:

I like to reverse the equation like so:

7.3-2.6=(positive 4.7)

then i know this will be my answer but just in the negatives. hope my little trick helped you!

The options that represent an amount and price of gas that Pedro purchased are 19 gallons of gas for $52.25, 16 gallons of gas for $44. So options C and D are correct.

To calculate the amount of gas and the total price that Pedro purchased, we need to use the formula:

Price = Cost per gallon * Number of gallons

Dividing the total price by the cost per gallon will give us the number of gallons purchased. We can then compare this with the given options to see which one(s) match.

Using the given cost per gallon of $2.75, we can check each option:

a) 13.75 gallons of gas for $41.25

Price = $2.75/gallon * 13.75 gallons = $37.81

This option does not match the total price of $41.25, so it is not correct.

b) 22 gallons of gas for $71.5

Price = $2.75/gallon * 22 gallons = $60.50

This option does not match the total price of $71.5, so it is not correct.

c) 19 gallons of gas for $52.25

Price = $2.75/gallon * 19 gallons = $52.25

This option matches the total price of $52.25, so it is correct.

d) 16 gallons of gas for $44

Price = $2.75/gallon * 16 gallons = $44

This option matches the total price of $44, so it is correct.

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Complete question is:

Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply.

a) 13.75 gallons of gas for $41.25

b) 22 gallons of gas for $71.5

c) 19 gallons of gas for $52.25

d) 16 gallons of gas for $44

The speed of the faster cyclist is 14\ miles/hr.

What is speed?

It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.

Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,

\(2s+s=42\\3s=42\\s=14\)

Now, distance coverd by the first cyclist is \(2s=2\times 14\\=28 \ $miles\).

Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.

\(Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr\)

Hence, the speed of the faster cyclist is 14\ miles/hr.

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