A large university accepts 70% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,000 students apply, how many actually enroll?

Answer: −8.68n−6.8

Step-by-step explanation: To find the opposite of 4+14.3n, find the opposite of each term. 5.62n−2.8−4−14.3n. Subtract 4 from −2.8 to get −6.8. 5.62n−6.8−14.3n. Combine 5.62n and −14.3n to get −8.68n. −8.68n−6.8.

Answer: the answer is -8.68n-68

Step-by-step explanation:

Answer:

3/4 plus 3/7= 33/28

or simplified would be 1 5/28

Reasoning:

first is to make the bottom of the fractions the same. Both four and seven go into 28. four times seven = 28, which means you multiply the top of 3/4 by 7 = 21. Seven times four = 28, which means you multiply the top of 3/7 by 4 = 12. 21 plus 12 = 33. So 33/28 would be your answer. As a mixed fraction it would be 1 5/28.

Answer:

Step-by-step explanation:

\(5 : 8 =\dfrac{5}{8}\\\\\\7:10=\dfrac{7}{10}\\\\\\LCD \ of 8 \ and \ 10 = 40\\\\\dfrac{5*5}{8*5}=\dfrac{25}{40}\\\\\\\dfrac{7*4}{10*4}=\dfrac{28}{40}\\\\\\\dfrac{25}{40} < \dfrac{28}{40}\)

So,  5:8    < 7 : 10

Answer: 5:8 > 7:10

Step-by-step Explanation: 5:8 = 5/8   7:10 = 7/10

5/8 = 1.6

7/10 = 1.4

Hope this helps! :)

Answer:

it's 5 cause it meet the y axis

Expressing the complex number 2i(i +3) in a + bi form gives -2 + 6i

Complex numbers are numbers that are expressed as a + ib,

where a and b are real numbers and i is an fictitious number called "iota."

i has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Real number) and the imaginary number 3i.

The multiplication of 2i(i + 3)

= 2i^2  + 6i

= -2 + 6i

Read more about complex numbers here:

https://brainly.com/question/12375854

#SPJ1

A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9

\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)

Divide the given equation (1)  by \($\sqrt{ y} $\)  giving

\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.

Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)

Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).

Multiply (2) by \($\sqrt{ } y$\) and we get

\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)

(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\)  or

\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

To learn more about initial-value problem, refer to:

https://brainly.com/question/14744043

#SPJ4

Answer:

i think its A cs its the most reasonable one

Step-by-step explanation:

sorry if its wrong

Answer:

9 oranges per glass

Step-by-step explanation:

The average number of miles she would have to meet her goal will be 2.62 miles each day.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Keilantra plans to pedal her bike 28.8 kilometers each week. She has already written a great deal. assuming she rides for another four days.

Let n be the number of days required more. Then the equation is given as,

⇒ 28.8 / (7 + n)

⇒ 28.8 / 11

⇒ 2.62 km each day

The average number of miles she would have to meet her goal will be 2.62 km each day.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Answer:

Either do 28+28+28, etc. 38 times, or follow the diagram I attached.

If you want to know more about what I did in the attachment, just ask <3

Answer:

Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.

Step-by-step explanation:

Answer:

\(\displaystyle 3x^2 + x\)

Explanation:

All you are doing is combining like-terms:

\(\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1]\)

I am joyous to assist you at any time.

Your selections are correct.

The coefficients of the x terms are opposites, so x will be eliminated when we add these two equations for both examples.

Answer:

X is equal to 7.

3*7+11=32

X=7

Answer: A

Step-by-step explanation: Exact on the number line

Answer: A

Step-by-step explanation: The answer is A you have to look at the easy numbers first like -4 and 1/2 try to find them on the line, a whole number will be one of the big lines,1/2 will be right in the between two whole numbers, 3/4 will me the little line right before a number and so on. You can use process of

elimination to make it easier.

A regular polygon is a polygon with all sides and angles congruent. It exhibits symmetry and uniformity in its sides and angles, creating a visually appealing shape.

A polygon with all sides and angles congruent is called a regular polygon. In a regular polygon, all sides have the same length, and all angles have the same measure. This uniformity in the lengths and angles of the polygon's sides and angles gives it a symmetrical and balanced appearance.

Regular polygons are named based on the number of sides they have. Some common examples include the equilateral triangle (3 sides), square (4 sides), pentagon (5 sides), hexagon (6 sides), and so on. The names of regular polygons are derived from Greek or Latin numerical prefixes.

In a regular polygon, each interior angle has the same measure, which can be calculated using the formula:

Interior angle measure = (n-2) * 180 / n

Where n represents the number of sides of the polygon.

The sum of the interior angles of any polygon is given by the formula:

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

Regular polygons have several interesting properties. For instance, the

exterior angles of a regular polygon sum up to 360 degrees, and the measure of each exterior angle can be calculated by dividing 360 degrees by the number of sides.

Regular polygons often possess symmetrical properties and are aesthetically pleasing. They are commonly used in design, architecture, and various mathematical applications.

Learn more about polygon here:

https://brainly.com/question/17756657

#SPJ11

Answer:

12

Step-by-step explanation

60/100 to get the probability of success

0.6 * 20 attempts = 12

Answer :

Option B

Step by step explanation :

As we can see in figure, Triangle is right angled at A

In ∆ABC

By Pythagoras theorem,

BC² = AC² + AB²

=> BC² = (3)² + (4)²

=> BC² = 9 + 16

=> BC² = 25

=> BC = 5 cm

We know,

\(\:\mathsf{Area \:of\: triangle}\)=\(\:\mathsf{\frac{1}{2}\: x\: base\: x\: height}\)

Here,

base = AC = 3cm

height = AB = 4cm

=> \(\:\mathsf{Area \:of\: triangle}\)=\(\:\mathsf{\frac{1}{2} \:x\: 3cm\: x\:4cm}\)

=> \(\:\mathsf{Area \:of\: triangle\: = \:3cm\: x\: 2cm}\)

=> \(\:\bf\boxed{Area \:of\: triangle\: = \:6cm²}\)

As BC = DE

And then BD = EC

it shows the property of rectangle

So BD = 6 cm

Now,

\(\:\mathsf{Area \:of\: rectangle\: =\: length \:x\: width}\)

=> Area of rectangle = 6cm x 5cm

=> \(\:\bf\boxed{Area\: of\: rectangle\: = \:30cm²}\)

Now,

Area of the figure = Area of rectangle + Area of triangle

=> Area of the figure = 30cm² + 6cm²

=> \(\:\bf\boxed{Area\: of\: the\: figure\: = \:36cm²}\)

Therefore, option B is the correct answer for this question.

The HDD for the month of January in State College, PA is 930.

To calculate the HDD (Heating Degree Days) for the month of January in State College, PA, we need to subtract the average daily temperature from 65 degrees Fahrenheit, which is considered the standard temperature for indoor heating.

HDD = 65°F - 35°F
HDD = 30°F

Therefore, the HDD for the month of January in State College, PA is 30 degrees Fahrenheit.
Hi! To calculate the Heating Degree Days (HDD) for the month of January in State College, PA with an average outside temperature of 35 degrees F, follow these steps:

1. Determine the base temperature: In the US, the base temperature is commonly 65 degrees F.
2. Subtract the average temperature from the base temperature: 65 - 35 = 30 degrees.
3. Multiply the difference by the number of days in the month: January has 31 days, so 30 * 31 = 930.

So, the HDD for the month of January in State College, PA is 930.

To know more about temperature visit:

https://brainly.com/question/27944554

#SPJ11

To calculate the HDD for the month of January in State College, PA, we need to first determine the base temperature. The base temperature is the temperature below which a building needs to be heated in order to maintain a comfortable indoor temperature. In this case, we will use a base temperature of 65 degrees F.

To calculate the HDD, we need to subtract the average daily temperature from the base temperature and sum up the values for each day of the month. If we assume that January has 31 days, we can calculate the HDD as follows:

HDD = (65 - 35) x 31
HDD = 930

So the HDD for the month of January in State College, PA is 930. This means that during the month of January, there were 930 heating degree days, which indicates the amount of heating required to maintain a comfortable indoor temperature. It is important to note that the HDD can vary depending on the base temperature used, so it is important to choose a base temperature that is appropriate for the climate and the building being heated.

To know more about temperature visit -

brainly.com/question/31332962

Answer:

solved

Step-by-step explanation:

4n-28 -2n -6 -15n

-13n-34

-(13n+34)

As n increases, the partial sums Sn appear to be increasing rapidly towards infinity.

The common ratio (r) of the given geometric series can be found by dividing any term by its preceding term.

r = 16/12 = 1.33

So, the first term (a1) is 12 and the common ratio (r) is 1.33.

The formula for the partial sum of an infinite geometric series is:

\(S_n = a_1\dfrac{(1-r^{n})}{(1-r)}\)

where a₁ is the first term, r is the common ratio, and n is the number of terms being added.

Now, we can find the partial sums for n=1,2,3,4, and 5:

S1 = 12(1 - 1.33¹)/(1 - 1.33) = -10.56

S2 = 12(1 - 1.33²)/(1 - 1.33) = -1.76

S3 = 12(1 - 1.33³)/(1 - 1.33) = 52.32

S4 = 12(1 - 1.33⁴)/(1 - 1.33) = 496.56

S5 = 12(1 - 1.33⁵)/(1 - 1.33) = 4388.16

As n increases, the partial sums Sn appear to be increasing rapidly towards infinity.

To know more about an arithmetic series follow

https://brainly.com/question/12869673

#SPJ1

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

Learn more about Probability:

https://brainly.com/question/26203207

#SPJ4

Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.

Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.

Recordar que para un triangulo de base b y altura h, el area es:

A = b*h/2

Entonces el area del banderín va a ser:

A = (31cm)*(60cm)/2 = 930cm^2

Entonces la opción correcta es A.

Sí quieres aprender más sobre triangulos, puedes leer:

https://brainly.com/question/2217700

(a) To calculate the probability of the first miss occurring after 12 attempts, we need to consider the scenario in which the shooter makes the first 11 shots and then misses the 12th shot. The probability of making a free throw is given as p = 0.9.

The probability of making a shot is 0.9, so the probability of missing a shot is 1 - 0.9 = 0.1. Therefore, the probability of making 11 shots in a row is (0.9)^11.

The probability of missing the 12th shot is 0.1. Since these events are independent, we can multiply the probabilities together. Therefore, the probability of making the first 11 shots and missing the 12th shot is (0.9)^11 * 0.1.

Therefore, the probability of having the first miss after 12 attempts is (0.9)^11 * 0.1.

(b) To calculate the probability that the third miss occurs on the 30th attempt, we need to consider the scenario in which the shooter makes the first 29 shots and then misses the 30th shot.

The probability of making a shot is 0.9, so the probability of missing a shot is 1 - 0.9 = 0.1. Therefore, the probability of making 29 shots in a row is (0.9)^29.

The probability of missing the 30th shot is 0.1. Since these events are independent, we can multiply the probabilities together. Therefore, the probability of making the first 29 shots and missing the 30th shot is (0.9)^29 * 0.1.

However, we also need to consider that the shooter must miss the first two shots before reaching the 30th attempt. The probability of missing two shots in a row is (0.1)^2.

Therefore, the probability that the third miss occurs on the 30th attempt is (0.9)^29 * 0.1 * (0.1)^2.

Note that these calculations assume that each shot is independent of the others and that the shooter's probability of making a shot remains constant throughout the attempts.

To learn more about probability click here:

brainly.com/question/31486003

#SPJ11

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

It is modeled by:

\(y = ab^x + c\).

In which:

In this problem, the equation is:

\(y = 4^x + 3\).

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

\((0,y) = (0, 4^0 + 3) = (0, 4)\)

Which means that the first option is correct.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Answer:

B. (0, 4) ; y = 3

Step-by-step explanation:

I took the exam for algebra 2

Answer:

B. 26,606.63

Step-by-step explanation:

The area of Gateway National Recreation Area is about twenty-six thousand, six hundred six and sixty-three hundredths. Which shows this number in standard form? A. 26,606.3 B. 26,606.63

C. 26,660.63 D. 26,666.3

Solution

Break down and writing in numerals of twenty-six thousand, six hundred six and sixty-three hundredths.

Twenty six thousand = 26,000

Six hundred six = 606

Sixty - three hundredth = 0.63

Adding

26,000 + 606 + 0.63

We have

26,606.63

The correct answer is B

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Learn more about z score here;

https://brainly.com/question/14695092

#SPJ4

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

Work Shown:

Plug the first equation into the second equation.

2x - y = 5

2x - (3x-1) = 5

2x - 3x+1 = 5

-x+1 = 5

-x = 5-1

-x = 4

x = -4

Use this to find the value of y.

y = 3x-1

y = 3*(-4)-1

y = -12-1

y = -13

The solution is (x,y) = (-4,-13)

This points to    choice A    as the final answer.

You can use graphing software like Desmos or GeoGebra to confirm that the two lines intersect at (-4,-13).

Quadratic formula : x = ( - b ± √(b² - 4ac) ) / 2a

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

Let's proof quadratic formula by method of completing squares.

we have, ax² + bx + c = 0​

Now, solving this equation will be tough as it  have power 2 .

So, to overcome with this problem we have to rearrange it and x will appear only once. And, we can do with by the method of completing squares.

so, our aim is x² + 2dx + d² i.e, (x+d)²

Let's do the proof,

start with ax² + bx + c = 0​

Divide the equation with 'a'

x² + bx/a + c/a = 0

Take c/a in RHS

x² + bx/a = - c/a

Add b/a on both the sides,

x² + bx/a + (b/2a)² = -c/a + (b/2a)²

The LHS have the whole square formula i.e   x² + 2dx + d²  = (x+d)²

Complete the squares,

(x+b/2a)² = -c/a + (b/2a)²

Now, solve for 'x'

(x+b/2a)² = -c/a + (b/2a)²

(x+b/2a) = (±) √(-c/a+(b/2a)²)

Take b/2a to RHS,

x = -b/2a (±) √(-c/a+(b/2a)²)

Now, we have solve for 'x'

so, just simplify a bit,

x = [ -b (±) √(-(2a)² c/a + (2a)²(b/2a)²) ] / 2a

x = ( - b ± √(b² - 4ac) ) / 2a

We got the quadratic formula.

a.)

Proof :  Sum of roots = -b/a

we have, x = ( - b ± √(b² - 4ac) ) / 2a

Now, split into two roots r1 and r2,

r1 = ( - b + √(b² - 4ac) ) / 2a   and r2= ( - b - √(b² - 4ac) ) / 2a

sum of roots = r1 + r2

put the values of r1 and r2

r1 + r2 =  { ( - b + √(b² - 4ac) ) / 2a } +  {( - b - √(b² - 4ac) ) / 2a}

Take the LCM,

r1 + r2 =  [- b + √(b² - 4ac  - b - √(b² - 4ac) ] / 2a

          = -2b/ 2a

r1 + r2 = -b/a

b.)

Proof : Product of roots = c/a

we have, x = ( - b ± √(b² - 4ac) ) / 2a

Now, split into two roots r1 and r2,

r1 = ( - b + √(b² - 4ac) ) / 2a   and r2= ( - b - √(b² - 4ac) ) / 2a

product of roots = r1 * r2

r1 * r2 =  { ( - b + √(b² - 4ac) ) / 2a } *  {( - b - √(b² - 4ac) ) / 2a}

          = [b² + b√(b² - 4ac) - b√(b² - 4ac) - (b² - 4ac) ] / 4a²

          = b² - b² + 4ac / 4a²  = 4ac/4a²

r1 * r2 = c/a

To read more about Quadratic equation

https://brainly.com/question/1214333

#SPJ9