Tiffany has 15 teaspoons of chocolate chips she uses 1 1/2 teaspoons for each muffin the total number of teaspoons left y after making x muffins can be given by y=-3/2+15

Answers

Answer 1

The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15).

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given equation,

y = (-3/2)x + 15

At y-intercept,

x = 0 so, y = 0 + 15 = 15 thus, (0,15)

At x-intercept

y = 0

0 = (-3/2)x + 15

x = 10 thus, (10,0)

Hence "The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15)".

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For the complete question and graph image attached below,

Tiffany Has 15 Teaspoons Of Chocolate Chips She Uses 1 1/2 Teaspoons For Each Muffin The Total Number

Related Questions

connie has a number of gold bars, all of different weights. she gives the 2424 lightest bars, which weigh 45\e% of the total weight, to brennan. she gives the 1313 heaviest bars, which weigh 26\&% of the total weight, to maya. she gives the rest of the bars to blair. how many bars did blair receive?

Answers

Blair received 15 bars as the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients.

What is average weight?

The weighted average is calculated by adding up all the variables, multiplying by their weight, and dividing by the sum of the weights. Instead of treating each item equally, a weighted average or mean multiplies each item being averaged by a number based on its relative importance. The weights or weightings correspond to including that many comparable items of the same value in the average.

Here,

The average weight of the bars given to Brennan (light), Blair, and Maya was higher than the average weight of the bars given to the other two recipients (heavy).

Let X represent the combined weight of all the bars.

The weight of the bars Brennan was given was equal to 45% of X, or 0.45X.

Maya was given bars that weighed 26% of X, or 0.26X.

The weight of the bars Claire was given was the rest, or 29% of X, or 0.29X.

Brennan received bars with an average weight of 0.45 x/ 24.

The weight of the Maya-received bars, on average, is 0.26X/13.

Similar to the previous example, if Blair receives B bars, then their average weight is 0.29X/B.

Similarly, the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients. So blair received 15 bars.

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Which rational number is equivalent to 0 . ¯¯¯¯¯¯ 36 ?

Answers

The rational number is equivalent to 0.36 is 9/25

How to determine the equivalent rational number?

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

Decimal number = 0.36

To start with, we need to express the decimal number as a fraction

This is represented as follows:

So, we have the following representation

Decimal number = 36/100

Change the label of the above representation to rational number

Rational number = 36/100

Simplify the rational number (divide the numerator and the denominator by 2)

Rational number = 18/50

Simplify the rational number (divide the numerator and the denominator by 2)

Rational number = 9/25

Hence, the equivalent rational number is 9/25

Answers

The margin of error with 80% confidence interval is 2.099

Given that,

A straightforward random sample of 25 observations is taken from a population that is normally distributed and has a standard deviation of 8.2.

To find : The margin of error with 80% confidence

Margin of Error : The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here we have

n=25,σ=8.2

For 80% confidence interval, the critical value of z is 1.28. So requried margin of error is

ME=[tex]Z_{c}\cdot \frac{\sigma}{\sqrt{n}}[/tex]=1.28[tex]\cdot \frac{8.2}{\sqrt{25}}[/tex]=2.0992

Thus, with 80% confidence, the error margin is 2.099.

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How much money does he earn when he sells 35 wooden toys? Emilio builds and sells homemade wooden toys for $12 each. The festival he is attending charges $50 to set up his booth. How much money does he earn when sells 35 wooden toys?

Answers

After selling 35 wooden toys and after cutting the expense of setting up his booth, Emilio earns $370.

What is BODMAS?

BODMAS, often known as the order of operations, is a method for carrying out operations in an arithmetic expression. Math is all about logic and some established principles that facilitate our computations. BODMAS is one of those commonly used rules for consolidating expressions with multiple operators.

Solution Explained:
A/Q, The price of one toy is $12
The cost of setting up the shop is $50

Therefore, the amount Emilio earns after selling 35 toys is:

(12 X 35) - 50
= 420 - 50
= 370

Hence, Emilio earns $370

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help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the shorter leg = 9mm

the longer leg = 12mm

the hypotenuse is 15mm

Step-by-step explanation:

x^2 +(x+3)^2 =(x+6)^2

x^2 + x^2 + 6x +9=x^2 + 12x +36

x^2-6x-27=0

(x+3)(3-9)=0

x=-3 (impossible) ... or x=9

students deliver newspapers and magazines to houses.
one day,they have to deliver 875 newspapers and 1200 magazines.
each student can deliver 35 newspapers or 50 magazines in 1 hour.
each student can only work for 8 hours
work out the minimum number of students needed

Answers

Answer:

4 students for newspapers & 3 students for magazines are needed for the deliveries to be made in a day.

Step-by-step explanation:

According to the question,

875 newspapers & 1200 magazines are to be delivered in a day by students.In an hour each student can deliver 35 newspapers or 50 magazines & each student can only work for 8 hours

So, In 8 hours each student can deliver:

35 × 8 = 280 newspapers

50 × 8 = 400 magazines

To find out minimum number of students needed to work we need to divide work done by each student in 8 hours by total deliveries to be made.

[tex] \therefore[/tex]

For Newspapers:

875/280 = 3.125

So, by rounding of the figure we will need 4 students to deliver newspapers as each student can work only for 8 hours.

For magazines:

1200/400 = 3

3 students are needed to deliver magazines.

Write the following values in ascending order (smallest to largest):
0.1, 0.09, 2%,7/10,19/100

Answers

First step is to convert all the numbers in a unified mesure
In this case put all the numbers over 100
10/100 (0.1),
9/100 (0.09),
20/100 (2%),
70/100 (7/10),
19/100 (19/100).
Then order them using the base 10 system
9/100, 10/100, 19/100, 20/100, 70/100

Answer: 0.09, 0.1, 19/100, 2%, 7/10

X
Work out the mean for the data set
below:
6.8, 5.7, 0.8, 4.7, 1.3
Give your answer as a decimal.

Answers

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count
= 19.3 / 5
= 3.86

Gabriella is going back to school shopping.each notebook she buys costs $3 and each pack of markers costs $3.she buys 4 packs of markers and n notebooks.she writes the follwing expression represent how much shr spend

Answers

Answer:

$24

Step-by-step explanation:

3(4) + 3(4) = x (the total cost)

12 + 12 = x

x = $24

average temperatures were measured at five randomly selected soups. the x-bar and r-bar were found 45.25 degree and 1.05 degree, respectively. the uclr and lclr are:

Answers

The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.

Given that,

At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.

To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)

R-bar = 1.05 Degrees

X-bar = 45.25 Degrees

Sample Size , n=5

D3=0

D4=2.114

3 Sigma control limits of Range Chart

LCLR = D3*R-bar = 0*1.05 =0

UCLR =D4*R-bar = 2.114*1.05 = 2.22

The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.

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P(A and B)
P(B)
Find P (Junior | Girl) Hint:
Classroom of Students
Boys Girls
Freshman 4 4 8
Sophomore 5
7 12
Junior 2
3 5
Senior 1 4 5
12 18
[?]
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.

Answers

Probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to 1/6.

As given in the question,

From the given table we have,

Total number of girls and boys in the class = 30

Total number of boys in class = 12

Total number of girls in class = 18

As per given Hint: P(A/B) = P(A and B) / P(B)

A is the Junior

B is the girl

Probability as per given condition is:

P(Junior / Girl) = P(Junior and girl) / P(girl)

= (3/30) / (18/30)

= 3/18

= 1/6 ( lowest term of fraction)

Therefore, probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to 1/6.

The complete question is:

Find P(Junior / Girl) Hint: P(A/B) = P(A and B) / P(B) .

Classroom of Students

Boys Girls

Freshman 4 4 8

Sophomore 5 7 12

Junior 2 3 5

Senior 1 4 5

12 18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.

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nine out of ten student prefer math class over lunch. how many student do not prefer math if 200student were asked

Answers

200/10 = 20
20 x 1 = 20 (1 out of ten)

20 students do not prefer math

Answer:

Step-by-step explanation:

20? lol

Which function represents the i shown in the graph below

A. G(x)=-x+2
B. G(x)=2^x-1
C. G(x)=(x+2)^2
D. -2x

Answers

the answer is G(x)=-x+2

Método de igualación. {x-2y=11
x+5y=−17

Answers

The value of x and y is 7 and -2 respectively.

The equations to solve are -

x - 2y = 11 ....[1]x + 5y =−17 ....[2]

On adding equations 1 and 2 we get ,

3y = -6

y = -2

Putting the value of y in equation 1,

⇒ x - 2(-2) = 11

⇒ x + 4 = 11

⇒ x = 7

Hence ,the value of x and y is 7 and -2 respectively.

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What is the value of k? 20+ 7k = 8k+ 16

Answers

The solution for k in the equation given as 20+ 7k = 8k+ 16 is 4

How to determine the solution to the variable k in the expression?

From the question, the algebraic expression is given as

20+ 7k = 8k+ 16

There is no constant to multiply or divide in the expression

So, the equation remains the same

20+ 7k = 8k+ 16

Collect the like term in the above equation

This gives

8k - 7k = 20 - 16

Evaluate the like term in the above equation

So, we have the following representation

k = 4

The above equation cannot be solved further

Hence, the solution is k = 4

Answers

An equation of the form P=0 is referred to as a polynomial equation. P is a polynomial with coefficients in some field, typically the field of the rational numbers. A polynomial equation, on the other hand, can include a number of variables. The phrase polynomial equation is typically preferred over algebraic equation when discussing situations with multiple variables.

What is Polynomial Equation ?

One or more variables, coefficients, and non-negative integer exponents of variables make up a polynomial, which is an expression. A mathematical statement that has a "equal to" symbol between two algebraic expressions with equal values is called an equation.

Sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

4x² + 6x + 21=0 where 4x²+6x+21 is considered as a polynomial expression which is written on the left side and has been fixed to make the polynomial expression equal to zero to form a complete polynomial equation.

1 Already answered

2 Degree:1 Real Roots of an equation:8 Number of Real Roots:1

3 Degree:2 Real Roots of an equation:2,-2 Number of Real Roots:2

4 Degree:5 Real Roots of an equation:-1,1-3,-3,-3 Number of Real Roots:5

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I really need help with this parallel lines and transversal equations find each angle measure 1-8

Answers

Answer:

1 = 88

2 = 92

3 = 88

4 = 92

5 = 92

6 = 88

7 = 92

8 = 88

Step-by-step explanation:

10x + 2 = 14x - 50

52 = 4x

18 = x

Order the following from least to greatest -0.2, 4.22,2.02,-3/10, 4 1/8

Answers

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2, 2.02, 4.22, 4 1/8

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a square matrix is nilpotent if for some positive integer . let be the vector space of all matrices with real entries. let be the set of all nilpotent matrices with real entries. is a subspace of the vector space ?

Answers

An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

What is nilpotent matrix?A nilpotent matrix in linear algebra is a square matrix N such thatfor some positive integer kk. The index of occasionally the degree of the smallest such k A nilpotent transformation, more generally speaking, It is a linear transformation of a vector space such that Lk=0 for some positive integer. Both of these ideas are specific examples of the more basic idea of nilpotence, which is applicable to rings' constituent parts.

acc to our question-

When n=1, the only 1×1 nilpotent matrix is (0). Thus U={(0)} and it is a subspace of VIn this case, we prove that the set U of all 2×2 nilpotent matrices is not a subspace of V.The set U is not a subspace because it is not closed under addition as the following example shows.

Hence,An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

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write a congruence statement for the pair of triangles

Answers

The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.

What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.If two triangles satisfy one of the following conditions, they are congruent: The three corresponding side pairings are all equal. The comparable angles between two pairs of corresponding sides are equal. The corresponding sides between two pairs of corresponding angles are equal.

So, the congruence statement of the given 2 triangles is as follows:

△RGB ≅ △DCS

∠G = ∠CGB = CS∠B = ∠S

Hence, △RGB ≅ △DCS under ASA condition.

Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.

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The pages of a book are numbered consecutively from 1 to 100. What is the sum of all the digits used in numbering the pages of the entire book?

Answers

5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

help is needed please and thank you

Answers

The required value of h(0) = 5 in the given function is represented in the shown graph.

What is a graph?

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of h(0) of the given function in the graph

According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.

Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.

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To train for a triathlon, Mr Greg swims, bikes, and runs everyday. Each day he bikes 10 times the distance he swims, and run 1. 5 miles more than half the distance he bikes. If Mr. Greg covers a total of 25. 5 miles on each day of training, how many miles does he swim? Bike? Run?

Answers

He covers 15 miles on the bike, 9 miles by running and 1.5 miles while swimming which sum up to 25.5 miles which is his total training distance.

What is distance?

Distance is defined as an object's entire movement without regard for direction. Distance may be defined as how much ground an item has traversed regardless of its starting or finishing place. Distance is a scalar number that indicates "how much ground an item has covered" while moving. Displacement is a vector variable that describes "how far out of place an item is"; it represents the total change in position of the object. Distance is the length along a line or line segment between two locations on the line or line segment.

Here,

He rides 15 miles, which is ten times as far as he swims.

He runs 9 miles, which is half the distance he rides (15/2=7.5). Plus the additional 1.5 miles, totaling 9.

He swims.10 of what he bikes, for a total of 15x.10 = 1.5. As a result, he swims 1.5 miles.

15 miles = bike

9 miles= run

1.5 mile =swim

Add them all together and you get 25.5 miles.

He rides his bike for 15 miles, runs for 9 miles, and swims for 1.5 miles, for a total training distance of 25.5 miles.

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Reflect the figure over the line y=1/3x+1

Answers

Answer:

see the attachment

Step-by-step explanation:

You want a graph of the given figure reflected over the line y = 1/3x +1.

Line of reflection

The given line of reflection can be written in general form as ...

y = 1/3x +1

3y = x +3 . . . . . . multiply by 3

x -3y +3 = 0 . . . . subtract 3y

This is in the general form ...

ax +by +c = 0

where a=1, b=-3, c=3.

The line of reflection is the perpendicular bisector of the segment joining a point (x, y) with its reflection (x', y').

Reflected point

Using the formula in the second attachment, we find the reflection

(x1, y1) ⇒ (x, y)

satisfies ...

(x -x1)/a = (y -y1)/b = -2(ax1 +by1 +c)/(a² +b²)

or ...

x = -2a/(a²+b²)·(ax1 +by1 +c) +x1

y = -2b/(a²+b²)·(ax1 +by1 +c) +y1

Using the known values for a, b, c, we have ...

x = -2(1)/(1² +(-3)²)·(x1 -3y1 +3) +x1 = (1/5)(4x1 +3y1 -3)

y = -2(-3)/10·(x1 -3y1 +3) +y1 = (1/5)(3x1 -4y1 +9)

Rewriting the mapping in more conventional terms, we have ...

(x, y) ⇒ ((4x +3y -3)/5, (3x -4y +9)/5)

It is convenient to let a spreadsheet do the repetitive tedious math. The third attachment shows the application of this mapping to the coordinates of the figure's vertices (clockwise from bottom).

Additional comment

The figure showing the reflected polygon was created by a geometry program using its "reflect over a line" feature.

Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60%, percent of his collection.
How many toy cars does Samuel have?

Answers

Answer:

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

27 = 60% of C C is the total cars in the collection

27 = .60 C

27 / .60 = C

45 = C

Hope this helps! :)

An account now contains $12,680 and has been accumulating interest at a 8% annual rate, compounded continuously, for 7 years. find the initial deposit. (round your answer to the nearest cent.)

Answers

The initial amount of the deposit is $7234.23

Compound interest is calculated on a deposit's or a loan's initial principal as well as the accrued interest from earlier periods. Compound interest's impact is frequency-dependent. The most frequent compounding occurs with continuously compounded rewards. The mathematical maximum that compound interest can achieve is continuous compounding. Since most interest is compounded on a monthly, quarterly, or semiannual basis, this is an extreme example of compounding.

For compound continuous problems, we use the formula [tex]A = Pe^{rt}[/tex]

where A = final amount

P = principal amount invested

e = exponent

r = rate of interest

t = time period in years

[tex]12680 = Pe^{.08(7)} \\12680 = Pe^{0.56}\\ 12680 = P*1.7506\\[/tex]

P = $7243.23

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Which of the following would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years? Question content area bottom Part 1 Select all that apply. A. $80 at 75% for 18 months B. $200 at 5% for 8 years C. $225 at 10% for 4 years D. $300 at 2% for 2 years E. $250 at 10% for 2 years

Answers

The option that would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years include:

A. $80 at 75% for 18 months

C. $225 at 10% for 4 years

How to calculate the interest?

It's important to note that the simple interest can be calculated thus:

= Principal × Rate × Time

Therefore, the amount of interest as a $600 principal with 2.5% interest for 6 years will be:

= PRT

= (600 × 0.025 × 6)

= $90

The interest on $80 at 75% for 18 months will be:

= $80 × 0.75 × 1.5

= $90

The interest on $225 at 10% for 4 years will be:

= $225 × 0.1 × 4

= $90

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easy trig please heeelp me

Answers

Answer:

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

a recipe calls for 15oz of flour every 8oz of milk, if you use 150z of milk how much flour should you use

Answers

The required weight of the flour is 28.125 ounces.

A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.

The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.

w = (15/8)*15

w = 28.125

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A survey of the worlds nation in 2004 shows a strong positive correlation between percentage of the country using cell phones and life expectancy and years at birth

Answers

1. No This survey does not mean that cell phones are good for your health.

2. The factor that can be used as the best explanation for the strong correlation would be the general economic conditions of the people.

What is meant by a strong correlation?

When one variable's value rises, the other variable's value also rises in a similar way. For instance, a student's exam score tends to be greater the more hours they study. Exam results and study time have a significant positive link.

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant relationship with one another, whereas a weak or low correlation indicates that the variables are rarely associated.

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complete question

A survey of the world's nations in 2004 shows a strong positive correlation (hence, a positive association) between percentage of the country using cell phones and life expectancy in years at birth.

a. Does this mean that cell phones are good for your health? select one: ____ yes ____ no

b. What might best explain the strong correlation (as a lurking variable)?

Select one:

_____ Percent of young people

____ General economic conditions of the country

____ Percent of pop. living in cities

Other Questions

Can someone help I dont understand?? a 40-year-old man in the u.s. has a 0.247% risk of dying during the next year. an insurance company charges $280 per year for a life-insurance policy that pays a $100,000 death benefit. what is the expected value for the person buying the insurance? round your answer to the nearest cent. be careful with negative signs. in july 2015, a report[1] was released indicating the gram-negative bacterium pseudomonas aeruginosa was found on hospital sinks 10 years after the initial outbreak in a neonatal intensive care unit. p. aeruginosa usually causes localized ear and eye infections but can cause pneumonia or septicemia in vulnerable individuals like newborn babies. explain how the current discovery of the presence of this reported p. aeruginosa could lead to a recurrence of nosocomial disease. If f(x) = 4x and g(x)=3x, what is (fg)(x)?(fg)(x)=(Simplify your answer.) A car originally is worth $3000. It is decreasing in value by 3% every year. How much is it worth in 3 years.(Round to the nearest cent) A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed of the wheel is increased from zero to f in a time interval T.What is the average power input to the wheel during this time interval (hint: power = work / time)?A:[tex]\frac{I^{2}\omega_{f} }{2T^{2} }[/tex]B: [tex]\frac{I\omega^{2}_{f} }{2T^{2} }[/tex]C: [tex]\frac{I\omega_{f}} {2T}[/tex]D: [tex]\frac{I\omega^{2}_{f} }{2T}[/tex] monopoly arises when: a. there is a firm desiring to compete in many markets b. there is a firm wanting to maximize profits c. there are barriers to the entry of other firms d. there is government intervention to establish and enforce a price ceiling preinstalled software typically includes . select all that apply. a. system software b. games c. advanced video editing programs d. trial versions of apps How do i solve this equation? 4x - 2y > 12 3. Look at the positions of calcium, beryllium, and magnesium on the periodic table. Based ontheir locations, predict how many valence electrons these elements have and predict whatthe reactivity of these elements will generally be.Answer: Determine the next three terms in the following sequence:2, 3, 5, 8, ____, ____, ____,...a.13, 19, 26b.12, 17, 23c.12, 16, 20d.13, 17, 23 I am writing a novel into passive = y = 3x - 4? help me pls Why were Texans worried about Mexico before the Mexican-American Warbegan?A. Mexico did not recognize the borders of Texas.B. Mexico wanted to legalize slavery throughout Texas.C. Mexico wanted to expand its borders to the Pacific Ocean.D. Mexico wanted to convert all Texans to Catholicism. PLEASE HELP ME!!!!!!!!!!!!!! x-13If-A) 2B) 4C) 9D) 10F.= k and k = 3, what is the value of x ? L, M and N are points on a circle, centre O.QMT is the tangent at M(1) find LNOM(2) find LNMQPlease help me guys it urgent it would really make my day. Write an equation perpendicular to y = 3x + 2 and passes through the point (0, 8). The dimensions of the old stage at the concert hall were 30 feet wide and 15 feet deep. The new stage has a total area of 1000 square feet. Thedimensions of the new stage were created by adding the same distance x to the width and the length of the old stage. What deepth of the new stage? the nurse is caring for a client following a coronary artery bypass graft (cabg). the nurse notes persistent oozing of bloody drainage from various puncture sites. the nurse anticipates that the physician will order which medication to neutralize the unfractionated heparin the client received?