Clavins home is located at the midpoint between Fast pizza and pizza now,Fast pizza is a quarter mile away from calvins home.How far away is pizza now from calvins home?How far are the two pizzerias?

Answer:

c. {(1, a), (0, a), (2, c), (3, b)}

Step-by-step explanation:

Answer:

Probability 50%

Odds 5:5

Step-by-step explanation:

Probability is calculated as favorable cases divided by total cases.

While odds are calculated as favorable cases divided by (total cases - favorable cases)

Favorable cases (green) : 5

Total cases(green, red and blue): 10

Probability= 5/10 * 100%=50%

Odds = 5:(10-5) = 5:5

Answer:

it is 50%

Step-by-step explanation:

Answer:

The total number of students is composite

Step-by-step explanation:

* Lets explain how to solve the problem

- A teacher divides the students into three groups for project

- Each group has the same number of students

- We need to know the total number of students is prime number or

 composite number

∵ The least number of any group is 2 students

∵ There are three groups

∵ The number of students in each group equal

∴ The least number of the students is 6

∵ Any number of students must be multiple of 3 because it will

  divide by 3

∵ Any prime number has only two factors 1 and itself

∵ Any multiple of 3 (except 3) has more than two factors

∵ The class can not be 3 students because when divided to 3

   groups each group will have 1 students and the least number of

   students in a group is 2

∴ The number of the students in the class must be composite

Final answer:

The question deals with evenly dividing students into three groups for a group assignment, indicating that the total number of students is composite, as it is divisible by three.

Explanation:

The question involves dividing a number of students into groups for a group assignment. A key concept here is understanding whether the total number of students is a prime or composite number.

If the students were evenly divided into three groups, this implies that the total number must be divisible by three, making it a composite number.

Examples of group work dynamics include cases where students divide work equally but one ends up doing the most of it, evenly distributing tasks, or each taking on different aspects of a complex problem.

The problem states:

f(p) is the average number of days a house stays on the market before being sold for price p in $1,000s

So we know:

p is the price in $1000s and

f(p) is the number of days before its sold for p

This means f(275) would be the number of days before its sold for 275,000 (since p is in $1000s).

The answer is:

f(275) represents the average number of days houses stay on the market before being sold for $275,000.

The statement "f(275) represents the average number of days houses stay on the market before being sold for $275,000" best describes the meaning of f(275).

Given,

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

In the given function f(p), the variable p represents the price of a house in thousands of dollars ($1,000s), and f(p) represents the average number of days a house stays on the market before being sold for that price.

Therefore, when you evaluate f(275), it tells you the average number of days houses stay on the market before being sold for $275,000.

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Answer:

13,18meters

Step-by-step explanation:

If the temple is in a height of 24 meters and to get there there are 91 steps, each step is 24 m / 91 = 26,37cm

The 50th step then is 26, 37cm. 50=13.18meters

Answer:

  see below

Step-by-step explanation:

3. The answers in the image below are in "interval notation". In set notation, they might be ...

  increasing: {x∈ℝ: -2 < x < 0 ∪ 2 < x}

  decreasing: {x∈ℝ: 0 < x < 2}

  positive: {x∈ℝ: -4 ≤ x < 1.5 ∪ 3 < x}

  negative: {x∈ℝ: 1.5 < x < 3}

  domain: {x∈ℝ: x ≥ -4}

  range: {x∈ℝ: x ≥ -3}

  y-intercept: y ∈ {2}

  x-intercepts: x ∈ {1.5, 3}

  relative minimum: (x, y) ∈ {(2, -3)}

  relative maximum: (x, y) ∈ {(0, 2)}

__

4. Answers are in the image below.

The function is increasing where its slope is positive, decreasing where its slope is negative. Where the slope changes sign, there may be a point where the slope is 0 or undefined. The function is neither increasing nor decreasing there, so those points are not part of the intervals for increasing or decreasing.

The function is positive when it is above the x-axis, negative when it is below the x-axis. The function is neither positive nor negative where it is on the x-axis or where it is undefined.

The domain is the horizontal extent of the function. Any points where the function is undefined are excluded.

The range is the vertical extent of the function, all of the y-values where the function output is defined. Here, m(2) is not defined, so y=-7 is not an output at that point. However, y=7 is an output for m(-14 2/3). Likewise, m(9) does not have an output of 0, but m(3) does, so 0 is part of the range.

X- and y-intercepts are where the graph intersects the x- or y-axis, respectively. M(x) is undefined at (9, 0), so there is no x-intercept there.

A relative minimum is any point where the y-values increase on either side of the point. For m(x), the function is undefined at its relative minima, so it cannot be said to have any.

A relative maximum is any point where the y-value decreases on either side of the point. M(x) has one at the vertex of the parabolic segment.

Answer:

The answer to your question is: I agree with you, the first option

Step-by-step explanation:

• (0,1) U (1,infinity)  This is the right answer because there are 2 invervals in which the graph decreases, and these intervals are listed in this option.

•(-infinity,-1)U(-1,0)  This option is wrong because from (-∞ , -1) the graph grows up and also from (-1, 0).

•(-infinity,-1)  The graph grows up, this option is incorrect

. (1,infinity) The graph decreases but the option is incomplete.

The correct option is A which is the function decreasing over the interval (0,1) U(1, infinity).

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Check all the options:-

Therefore, the correct option is A which is the function decreasing over the interval (0,1) U(1, infinity).

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[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$906.25\\ P=\textit{original amount deposited}\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ t=years\dotfill &1 \end{cases} \\\\\\ 906.25=P(0.0625)(1)\implies 906.25=0.0625P\implies \cfrac{906.25}{0.0625}=P \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 14500=P~\hfill[/tex]

The volume of a cylinder is changing at a rate of 256π cm³/min when the height of the cylinder is 12 cm, the radius is 4 cm, the circumference of the cylinder is increasing at a rate of π4 cm/min, and the height of the cylinder is increasing four times faster than the radius.

The primary equation you need for this problem is the volume of a cylinder, which is V = πr²h. Given the height h of the cylinder is increasing four times faster than the radius r, if we use dh/dt for the rate of change of the height and dr/dt for the rate of change of the radius, we have dh/dt = 4dr/dt.

Also, the rate at which the circumference of the cylinder is increasing is d(2πr)/dt=2πdr/dt = π4 cm/min. Hence we can set up an equation as 2πdr/dt = π4. Solving for dr/dt, we get dr/dt = 2 cm/min.

Substituting this into the previous equation, we find that dh/dt = 8 cm/min. Now, if we take the derivative of the volume equation with respect to time, we get dV/dt = πr²dh/dt + 2πrh*dr/dt.

With the values r = 4cm, h = 12cm, dr/dt = 2 cm/min, and dh/dt = 8 cm/min, replacing in the equation above gives us: dV/dt = π*4²*8 + 2π*4*12*2 = 256π cm³/min. So, the volume of the cylinder is changing at a rate of 256π cm³/min.

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Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

[tex]nCk=\frac{n!}{k!(n-k)!}[/tex]

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

[tex]10C7=\frac{10!}{7!(10-7)!}=120[/tex]

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

[tex](5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50[/tex]

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

[tex](5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50[/tex]

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

[tex](5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10[/tex]

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

B

they have limited (3) common points where the planes meet.

Answer:

2 .

length of ,XY= a-6

length of ,YZ =3a+11

total length of ,XZ =41

Since,Point X,Y,Z lies in same straight line XZ..

So,

XZ= XY+ YZ

41= a-6 + 3a+11

41= 4a +5

41-5 = 4a

36/4 = a

a= 9

putting value of a in lengths XY and XZ we get,

XY= 9-6

= 3

YZ = 3*9 + 11

=27 + 11

=38

Length of XY = 3

Length of YZ = 38

Answer of 3 and 4 are as similar of above solved examples..

Answer:

Option A is correct.

Step-by-step explanation:

From the dimensions first find the volume of the container and then find the estimate ratio of each cookie on diving the volume by number of cookies.

[tex]i.e. \\ 11 \times 6 \times 3 = 198 \\ = > \: \frac{198}{90} = 2.2 \\ \\ also \: from \: the \: second \: relation \\ 6 \times 6 \times 2 = 72 \\ = > \frac{72}{33} = 2.18 \: ( = approx \: 2.2)[/tex]

Answer:

Step-by-step explanation:

x=3(y-b)

or x=3y-3b

3y=x+3b

[tex]y=\frac{x+3b}{3}[/tex]

Answer:

i * i = -1

Step-by-step explanation:

W hen you multiply an imaginary number or i number by another imaginary pure number, the answer is going to be a negative number, due that i *i= -1. The joke is funny because if you do what the recording is saying there you won't have a pure imaginary number and if you dial again, the same would happen again and again.

Answer:

When we work with imaginary numbers, we have that

i = √(-1)

then, we have that i*i = √(-1)*√(-1) = -1

An imaginary number is a number of form A + B*i, where A and B are real numbers.

Now, a purely imaginary number is a number of the form B*i, where B is a real number.

Then, if we multiply this number by i, we have that:

B*i*i = B*(-1) = -B

now we have a real number.

The joke is that now you can "reach" a real number.

Answer:

8

Step-by-step explanation:

Answer:

What is it asking?

Step-by-step explanation:

Answer:

b. 60

Step-by-step explanation:

We have been given a formula [tex]5x+10y=800[/tex], where x represents the number of small vehicles and y represents the number of larger vehicles.

To find the number of small vehicles, we will substitute [tex]y=50[/tex] in the given equation as:

[tex]5x+10(50)=800[/tex]

[tex]5x+500=800[/tex]

[tex]5x+500-500=800-500[/tex]

[tex]5x=300[/tex]

[tex]\frac{5x}{5}=\frac{300}{5}[/tex]

[tex]x=60[/tex]

Therefore, 60 small vehicles were washed in total and option 'b' is the correct choice.

Answer: d. 75% of the screen is occupied by the image  

Step-by-step explanation:

First we have to find a relation between image area and screen area.

Image area is the product of image dimensions.

Screen area is the product of screen dimensions.

We have to divide the major image dimension between the major screen dimension

Major image dim/Major screen dim = 20/5 = 4

Now we have to multiply this relation by the minor screen dimension

Minor screen dim x 4 = 4 x 4 = 16

Then we have found 5/4 = 20/16

Now we can calculate what percent of the screen area is occupied by the image area.

Major image dim x minor image dim/Major screen dim x minor screen dim

Since major image dim = major screen dim, we have:

Minor image dim/Minor screen dim = 12/16 = 0.75 = 75% of the screen

Answer: d. 75% of the screen is occupied by the image

[tex]\textit{\textbf{Spymore}}[/tex]  

Answer:

A. 52°

Step-by-step explanation:

All interior angles of ANY quadrilateral sum up to 360°; corresponding base angles sum up to 180°, therefore the m∠A is 52°.

I am joyous to assist you anytime.

Answer:

5!!

Step-by-step explanation:

When writing the polynomial in standard form, we have:

5X⁴ - 2X + 1

The leading coefficient is 5, since it's part of the term with the highest degree.

Final answer:

The leading coefficient of the polynomial 1 - 2x + 5x⁴ in standard form is 5, as standard form requires terms to be in descending powers of x.

Explanation:

The question asks to identify the leading coefficient of a polynomial when written in standard form. The given polynomial is 1 - 2x + 5x⁴. The standard form of a polynomial requires the terms to be written in descending powers of x. Therefore, the standard form of the given polynomial is 5x⁴ - 2x + 1. The leading coefficient is the coefficient of the term with the highest power of x, which in this case is 5 for the term 5x⁴.

Answer:

The answer is: small+large.

Step-by-step explanation:

If the variable of the smaller sheetrock is stored in small:

var small.

And the variable of the larger sheetrock is stored in large:

var large.

The length of the wall will be the sum of the two pieces of sheetrock:

For example:

var small = 5;

var large = 10;

small+large = 5 + 10 = 15 is the length of the wall.

Final answer:

To calculate the total length of a wall made with two sheets of sheetrock, use the expression 'small + large'. The correct unit for measuring large objects like walls is often feet, and including units is essential for clarity in measurements.

Explanation:

The question asks for an expression to calculate the total length of a wall built with two pieces of sheetrock with lengths stored in the variables small and large. Since the total length of the wall will be the sum of the lengths of the two pieces of sheetrock, the expression you would write is small + large. This will give you the length of the entire wall when you substitute in the numerical values for the lengths represented by the two variables.

When measuring large objects like walls, the appropriate unit of measure is often feet, as inches would be too small and miles or kilometers would be excessively large. It's important to always include units in your measurements to avoid confusion and to ensure that the measurements are useful for practical applications, such as buying fabric or building materials.

Answer:

(on Edge)  1. "The equation of the scenario is p = 55 - 0.5w"

2. "The values of p must be any whole number 45 to 55"

BTW i got number 1 from this user https://brainly.com/profile/Alyssamarie03-2838077

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

[tex]x+y=28,000...(1)[/tex]

The interest earned at 7% in one year would be [tex]0.07x[/tex] and interest earned at 14% in one year would be [tex]0.14x[/tex].

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

[tex]0.07x+0.14y=3,430...(2)[/tex]

Form equation (1), we will get:

[tex]x=28,000-y[/tex]

Upon substituting this value in equation (2), we will get:

[tex]0.07(28,000-y)+0.14y=3,430[/tex]

[tex]1960-0.07y+0.14y=3,430[/tex]

[tex]1960+0.07y=3,430[/tex]

[tex]1960-1960+0.07y=3,430-1960[/tex]

[tex]0.07y=1470[/tex]

[tex]\frac{0.07y}{0.07}=\frac{1470}{0.07}[/tex]

[tex]y=21,000[/tex]

Therefore, an amount of $21,000 was invested at a rate of 14%.

[tex]x=28,000-y[/tex]

[tex]x=28,000-21,000[/tex]

[tex]x=7,000[/tex]

Therefore, an amount of $7,000 was invested at a rate of 14%.

Answer: a) critical value = 0.0853, b) we reject the null hypothesis.

Step-by-step explanation:

Since we have given that

z = -1.37

And the hypothesis are given below:

[tex]H_0:p=\dfrac{1}{4}=0.25\\\\H_1:p\neq 0.25[/tex]

Since α = 0.01

since critical value = 0.0853

As we can see that 0.853 < 0.25.

so, we reject the null hypothesis.

Hence, a) critical value = 0.0853, b) we reject the null hypothesis.

Answer:

.

Step-by-step explanation:

Answer:

[tex]x=\frac{1+\sqrt5}{2}[/tex] and  [tex]x=\frac{1-\sqrt5}{2}[/tex]

and b=[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

We are given that a quadratic equation

[tex]x^2-x-1=0[/tex]

We have to solve the equation by completing square and find the value of b.

[tex](x)^2-2\times x\times \frac{1}{2}+(\frac{1}{2})^2-(\frac{1}{2})^2-1=0[/tex]

[tex](x-\frac{1}{2})^2-\frac{1}{4}-1=0[/tex]

[tex](x-\frac{1}{2})^2-\frac{1-4}{4}=0[/tex]

[tex](x-\frac{1}{2})-\frac{5}{4}=0[/tex]

[tex](x-\frac{1}{2})^2-(\frac{\sqrt5}{2})^2=0[/tex]

[tex](x-\frac{1}{2})^2=(\frac{\sqrt5}{2})^2[/tex]

[tex]x-\frac{1}{2}=\frac{\sqrt5}{2}[/tex] and [tex]x-\frac{1}{2}=-\frac{\sqrt5}{2}[/tex]

[tex]x=\frac{\sqrt5}{2}+\frac{1}{2}=\frac{1+\sqrt5}{2}[/tex]

And [tex]x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}[/tex]

Therefore,[tex]x=\frac{1+\sqrt5}{2}[/tex] and  [tex]x=\frac{1-\sqrt5}{2}[/tex]

and b=[tex]\frac{5}{4}[/tex]

Final answer:

To complete the square for the equation x²-x-1=0, we add (1/2)² = 1/4 to both sides, resulting in the equivalent equation (x-1/2)² = 5/4, where b is 5/4 or 1.25.

Explanation:

To solve the quadratic equation x²-x-1=0 by completing the square, we need to transform the equation into the form (x+a)² = b. First, we would rearrange the equation to isolate the terms with x: x² - x = 1. The next step is completing the square by adding (1/2 ×-1)² = (1/2)² = 1/4 to both sides of the equation, resulting in x² - x + 1/4 = 1 + 1/4. Therefore, the complete square form is (x-1/2)²= 5/4 and the constant b is 5/4 or 1.25.

Answer:  0.1010052

Step-by-step explanation:

Given : Significance level : [tex]\alpha=0.01[/tex]

Alternative hypothesis : [tex]H_1:\ p\neq\dfrac{3}{4}[/tex]

The test statistic value : [tex]z=-1.64[/tex]

Since , the alternative hypothesis is two-tailed, so the test is a two-tailed test.

Using standard normal distribution table for z, we have

The P-value of two-tailed test will be :-

[tex]2P(z>|-1.64|)=2P(z>1.64)\\\\=2(1-P(z\leq1.64))\\\\=2(1-0.9494974)\\\\=0.1010052[/tex]

Hence, the P-value = 0.1010052

Answer:

The answer to your question is below:

Step-by-step explanation:

A number is divisible by 9 if the sum of all the individual digits is evenly divisible by 9.

7,625    example    7 + 6 + 2 +5 = 20  it's not divisible by 9

4,932                      4 + 9 + 3 + 2 = 19 it's not divisible by 9

9,180                                                18  it is divisible

2,969                                                26 it's not divisible by 9

9,180                                                18 it is divisible

4,932                                                18 it is divisible

2,969                                                26 it's not divisible by 9

Answer:

9180 is divisible by 9 .

Step-by-step explanation:

A number is divisible by 9 if the sum of all of it's digits is divisible by 9.

Here, for each of the given numbers, we will find sum of digits then check if the sum of digits is divisible by 9.

For 7,625  :    

 7 + 6 + 2 +5 = 20  ( not divisible by 9)

For 4,932 :                  

 4 + 9 + 3 + 2 = 19 (not divisible by 9)

For 9,180 :  

9+1+8 = 18              ( divisible by 9 )

For 2,969 :

2+9+6+9=26         (not divisible by 9)