A store uses binary numbers to assign a unique binary sequence to each item in its inventory. What is the minimum number of bits required for each binary sequence if the store has between 75 and 100 items in its inventory?.

Answer:

-7

Step-by-step explanation:

To find f(-2), plug in -2 as x

F(-2)=2(-2)-3

-4-3

-7

Hello, it's me again!

Step-by-step explanation:

I'm sure you recall from your last question how to get landing times, so for the first question, it is 40, second question is 60

The second balloon takes longer to land.

Graphically, this means that the line made by the 2 balloons will be parallel, the second balloon starting 400 units on the y axis above the first balloon, and continue an extra 20 units on the x axis after the first balloon reaches y= zero

Hope this helps!

Answer:

P=4x-2

Step-by-step explanation:

P=x+(2x-5)+(x+3)

P=x+2x-5+x+3

P=4x-2

The completely factored form of the polynomial is :\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

To completely factor the polynomial \(\(12x^2 + 2x - 4\)\), we need to find expressions that can be multiplied together to obtain the given polynomial.

First, we can look for common factors. In this case, all the coefficients are divisible by 2, so we can factor out a 2:

\(\(2(6x^2 + x - 2)\)\)

Now, we focus on factoring the quadratic expression \(\(6x^2 + x - 2\)\). We need to find two binomials that, when multiplied, give us this quadratic.

To factor \(\(6x^2 + x - 2\)\), we look for two numbers whose product is equal to \(\(6 \times -2 = -12\)\) and whose sum is equal to the coefficient of the middle term, which is 1.

After trying different combinations, we find that the numbers 4 and -3 satisfy these conditions:

\(\(6x^2 + x - 2 = (2x + 4)(3x - 1)\)\)

Putting it all together, the completely factored form of the polynomial is:

\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

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Given:

(-4)(-12)

Required:

To find the multiplication.

Explanation:

Because multiplication of two negati

ANSWER

EXPLANATION

We want to find the value of the expression given:

Step 1: Convert fraction to a decimal

We will convert 6/10 to a decimal. That is:

6/10 = 0.6

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

55 degrees

Step-by-step explanation:

sum of all angles of a triangle equal 180

to find x we add them all and set them equal to 180

(57+x)+(72+x)+55=180

129+2x+55=180

184+2x=180

-184.    -184

2x= -4

/2.  /2

x=-2

now to find angle A

57+(-2)

55

hopes this helps

For any polygon with n sides, we can use the formula to calculate the sum of its interior angles. The formula is (n-2) x 180 degrees or (n - 2) x 180° / n.

There is a formula for the sum of the measurements of the interior angles of a polygon with n sides. The triangle, which has three sides, will be our first example. Its internal angles add up to 180 degrees. We can partition a polygon with n sides into triangles.

Let's take a polygon with n sides into consideration and draw all of its diagonals from one vertex. It is clear that n-2 triangles were produced. The total of the inner angles in each triangle is 180 degrees. The polygon's internal angles' total as a result is:

sum of the interior angles = (n-2) * 180 degrees

Alternatively, we can also use the formula:

sum of the interior angles are = (n - 2) x 180° / n

This formula is obtained by dividing the polygon into n-2 triangles, and the total sum of the interior angles will be (n-2) times the sum of the interior angles of a triangle, which is 180 degrees.

Therefore, for any polygon with n sides, we can use the formula to calculate the sum of its interior angles. The formula is (n-2) x 180 degrees or (n - 2) x 180° / n.

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The sampling Distribution of the sample proportion of people who answer yes to the question is normal with mean p = 0.6 and standard deviation σp = 0.049.

Suppose 60% of American adults believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading. We will take a random sample of 100 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is binomial.

The binomial distribution is appropriate since there are two possible outcomes: either a person believes that Martha Stewart is guilty of obstruction of justice and fraud related to insider trading or does not believe so. The sample size is n = 100.

The probability of a person believing that Martha Stewart is guilty is p = 0.6 and the probability of a person not believing is q = 1 - p = 0.4.

The mean of the sample proportion of people who believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading is given by:μp = p = 0.6

The variance of the sample proportion of people who believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading is given by:σ²p = pq/n = (0.6)(0.4)/100 = 0.0024

The standard deviation of the sample proportion of people who believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading is given by:σp = sqrt(σ²p) = sqrt(0.0024) = 0.049

This standard deviation measures how much the sample proportion is likely to vary from one sample to another. The sampling distribution of the sample proportion of people who answer yes to the question is approximately normal by the Central Limit Theorem (CLT) if the sample size is sufficiently large, which is the case here since np and nq are both greater than or equal to 10: np = (100)(0.6) = 60 and nq = (100)(0.4) = 40.

Therefore, the sampling distribution of the sample proportion of people who answer yes to the question is normal with mean p = 0.6 and standard deviation σp = 0.049.

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Answer:

Step-by-step explanation:

Answer:

Antoinette's parents paid $ 70000 by the time she left the school.

Step-by-step explanation:

Antoinette's parents paid at the beginning (\(t = 0\)) $ 6230, and each year paid annual fees including increases seven times. (\(0 <t \leq 7\)) We find that annual fee paid at a given year is represented by the following formula:

\(C(t) = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}\)

Where:

\(C_{o}\) - Initial annual fees, measured in US dollars.

\(C(t)\) - Current annual fees, measured in US dollars.

\(r\) - Yearly increase rate, dimensionless.

If we know that \(C_{o} = \$\,6230\) and \(r =9.5\), first 8 annual fees paid by Antoinette's parents are:

\(C(0) = \$\,6230\)

\(C(1) =\$\,6821.85\)

\(C(2) = \$\,7469.93\)

\(C(3) = \$\,8179.57\)

\(C(4) = \$\,8956.63\)

\(C(5) = \$\,9807.51\)

\(C(6) = \$\,10739.22\)

\(C(7) = \$\,11759.45\)

Now, we sum each yearly fees to determine the total paid by Antoinette's parents when she leaves the school at the end of the 8th year.

\(C_{T} = C(0) +C(1)+C(2) + C(3)+C(4)+C(5)+C(6)+C(7)\)

\(C_{T} = \$\,6230+\$\,6821.85+\$\,7469.93+\$\,8179.57+\$\,8956.63+\$\,9807.51+\$\,10739.22+\$\,11759.45\)

\(C_{T} = \$\,69964.16\)

Antoinette's parents paid $ 70000 by the time she left the school.

Answer:

For the cost of each legging to be $12, and the shipping of $5, the expression is a straight line C = 12x + 5 where x is the number of leggings.

Step-by-step explanation:

It is given that each legging costs $12. This means that for x number of leggings, the cost will be $12x. Now there is an additional cost of shipping that is $5. So, total cost will be a linear equation and can be written as

C = 12x + 5

This equation represents a straight line like y = mx + c. Here y = C, m = 12 and c = 5.

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Answer:

172cm

Step-by-step explanation:

129/3=43

129+43= 172

Answer:

146 adult tickets were sold

Step-by-step explanation:

subtract 73 from 573 which = 500

then you'll take away 500 from 73 =427

then you will subtract 427 from 573= 146

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Answer:

15^6

Step-by-step explanation:

According to BODMAS

where;

B - Bracket ()

O - Off (*)

D - Division (/)

M - Multiplication (*)

A - Addition (-)

S - Subtraction (+)

Bracket should be solved first

therefore;

(3*5)^6

15^6 = 11390625

Which can be approximately in standard form written as 1.1*10^7

To answer this question, we need to remember that, for any function, the x-intercept happens when the value of the function is zero.

In this case we have the function:

where P(x) represents the population (in millions) of mosquitoes and x is the amount of rainfall in inches.

From the table we notice that the function is zero when x=0. This means that the x-intercept of the function is x=0. Now, if we remember what our function and independent variable mean we conclude that:

The x-intercept represents that after 0 in. of rain there are 0 mosquitoes.

Answer: divide by 3.14

Step-by-step explanation:

B. Michelle weighed 75 pounds two years ago

There are four outcomes that can occur when two players flip fair coins: both coins must be heads (HH), both must be tails (TT), or one coin must be heads and the other must be tails (HT or TH).

Because these are the only outcomes in which both players receive the same outcome, the probability that they will have the same outcome is equal to the sum of the probabilities of getting HH and TT. The likelihood of receiving HH or TT is:

HH or TT, where P(HH) = P(HH) + P(TT) = 1/4 + 1/4 = 1/2

As a result, the likelihood that they arrive at the same conclusion can be expressed as 1/2, a fraction with a coprime denominator and numerator.

As a result, a+b has the value:

a + b = 1 + 2 = 3

So, the response is 3.

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Answer:

c. 29.3 cubic mi.

Step-by-step explanation:

Volume of cone: \(\pi\) × r² × \(\frac{h}{3}\)

Volume of cone = \(\pi\) × 2² × \(\frac{7}{3}\)

                           = 9\(\frac{1}{3}\)\(\pi\)

                           = 29.3 cubic mi. (rounded to 3 s.f.)

Answer:

a) 375

b) 7062.75 mm²

Step-by-step explanation:

b) We need to find the shortest possible width and length to get the smallest possible area.

To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.

The boundaries are, therefore: 19.35 - 19.45

As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.

And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.

Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:

365 * 19.35 = 7062.75 mm²

Answer:

y = 2.60 (to 3sf)

Step-by-step explanation:

Since x is directly proportional to y², then x = ky², where k is a constant.

When x = 4, y = 3,

 4 = k(3)²

 4 = 9k

9k = 4

∴\(k =\frac{4}{9}\)

∴ When x = 3,

\(\frac{4}{9}y^{2} = 3\)

∴y = 2.60 (to 3sf)

The equation  that can be used to find the number of hotdogs

and sodas sold at the swim meet.

a)x+0.50y=150

b)  y=-2x+300

c)Number of soda sold y =220 if hot dog is 40.

d)  x intercept=150. It is related to the total earnings of soda and hot dogs sold.

f) y intercept = 300 . It is related to the 2 times of the total earnings of soda and hot dogs sold.

What is x-intercept and y-intercept?

An equation's or a function's graph that contacts the x axis is said to have a "X intercept." This is comparable to a point having a value of zero. Given that it is located on the horizontal axis, this is sometimes referred to as the horizontal intercept. The y value at the point where the line meets the y axis is known as the y intercept. By examining the graph and identifying the point that crosses the y axis, we may determine the y intercept. This point's x coordinate will always be 0. It will be recorded as (0,y). Given that it is on the vertical axis, this is also referred to as a vertical intercept.

Let us take number of hot dogs sold as x and number of soda sold as y.

Cost of one hot dog = $1.00

Cost of one soda = $0.50

Then , cost of x number of hot dogs sold = 1x

cost of y number of soda sold = 0.50y

Then, . At the end of the day you made $150.

=> 1x+0.50y= 150

a) standard form of the equation is ,

=> x+0.50y=150 ------->1

b) x+0.50y=150

=> x+\(\frac{1}{2}\)y=150

=>2x+y=150*2

=>2x+y=300

Then slope intercept form is  y=-2x+300------->2

c) Number of hot dogs sold x=40 and put into 2 ,

then ,  y=-2(40)+300

=> y=-80+300

=>y=220

Number of soda sold y =220

d) To find x intercept put y=0 into 1 , then

=> x+0=150

=>x=150

Here x intercept=150. It is related to the total earnings of soda and hot dogs sold.

e)To find y intercept put x=0 into 1,

=> 0+0.50y=150

=> y = 150/0.50

=> y =300

Here y intercept = 300 . It is related to the 2 times of the total earnings of soda and hot dogs sold.

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The number of apples packed in each crate is 129.29.

What is the quadratic equation?

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation. In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

The crate weighs 4.2 lb and each apple weighs 0.28 lb therefore  4.2 + 0.28a is the algebraic expression.  

We know the total weight, so

4.2 + 0.28a = 40.6

0.28a = 36.2

Divide both sides by 0.28 to solve for a

a = 36.2 / 0.28

a = 129.29

hence, the number of apples packed in each crate is 129.29.

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Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

If 0.4 Customers arrives after 1 minute-

0.4*5 = 2.0 cm

From 1947 to 1987, Willowbrook State School served Staten Island's Willowbrook neighborhood as a state-funded facility for youngsters with intellectual disabilities. The school had 6,000 students enrolled by 1965 despite being intended for 4,000.

Aerts entered through the doors of Willowbrook State School in 1971 with former Staten Island Advance writer Jane Kurtin, and took disturbing photos of children and adults with special problems who were confined in cages, hungry, and used as research experiments.

Geraldo Rivera, who was working as an investigative reporter for WABC-TV in New York at the time, began an investigation into Willowbrook soon after and found a number of appalling circumstances there, including overcrowding and subpar sanitary facilities.

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