A university freshman class has 9900 students 4554 of thoses students are majoring in computer science what percentage of the class is computer science majors

Answer:

54sqrt(30)

Step-by-step explanation:

3sqrt(24) can be simplified to 6sqrt(6) as 24 can be written as 4 * 6 and 4 is a perfect square

3sqrt(45) can also be written as 9sqrt(5) as 45 can be written as 5 * 9 and 6 is a perfect square

you can multiply 6sqrt(6) * 9sqrt(5) as though the square roots were variables

so

54sqrt(30)

this is your final answer

the rounded answer is 295.770181

The third graph represents a function.

In a function, every input (x value) has exactly one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.

A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.

In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.

Answer:

x = 14

Step-by-step explanation:

PMN forms a triangle and the sum of interior angles in a triangle is equal to 180 therefore we can use the following equation to find the value of x

32 + 64 + 6x = 180 add like terms

96 + 6x = 180 subtract 96 from both sides

6x = 84 divide both sides by 6

x = 14

Answer

[tex]2 \times 2 + 6 \times 2 + \frac{8}{2 } [/tex]

[tex]4 + 12 + 4[/tex]

[tex]16 + 4[/tex]

[tex]20[/tex]

Answer:

3/10

Step-by-step explanation:

Just multiply all of the numerators (top numbers)  and then multiple all of the denominators (bottom numbers)

2/3x3/4x3/5  would be 18/60 Then take any number that is a factor to both 18 and 60 and divide both numbers by that factor.  I could use 2 or 3 or 6 because both 18 and 60 is divisible by any of these numbers.  I will choose 3.  I will divide the top and bottom of 18/60 by 3 to get 6/20, now I will divide the top and bottom of that number by 2 to get 3/10

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{3}{5}}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{3}{5}}[/tex]

[tex]\mathsf{= \dfrac{2\times3\times3}{3\times4\times5}}[/tex]

[tex]\mathsf{= \dfrac{6\times3}{12\times5}}[/tex]

[tex]\mathsf{= \dfrac{18}{60}}[/tex]

[tex]\mathsf{= \dfrac{18\div3}{60\div 3}}[/tex]

[tex]\mathsf{= \dfrac{6}{20}}[/tex]

[tex]\mathsf{= \dfrac{6\div2}{20\div2}}[/tex]

[tex]\mathsf{= \dfrac{3}{10}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{3}{10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

  22.81

Step-by-step explanation:

The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using this formula the triangle side lengths are ...

  AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8

  BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2

  CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40

The perimeter of the triangle is the sum of these lengths:

  P = 8 +6√2 +2√10 ≈ 22.8098

The perimeter is about 22.81 units.

Answer:

The constant of variation is 4

Step-by-step explanation:

We are looking for the constant of variation when t varies directly as the square of s

t = k s^2  where k is the constant of variation

t = 64 and s = 4

64 = k  4^2

64 = k * 16

Divide each side by 16

64/16 = k * 16/16

4 = k

The constant of variation is 4

The probability of selecting a respondent who does not prefer Cell C is 0.775

The complete question is in the attached image

From the attachment, we have

Prefer cell C = 90

Total = 400

So, the number of respondents that do not prefer cell C is

Do not = 400 - 90

Do not = 310

The probability is then calculated as:

P = 310/400

Evaluate

P = 0.775

Hence, the probability of selecting a respondent who does not prefer Cell C is 0.775

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(a) The number of cases on May 1, 2014, was approximately 188.59.

(b) The number of cases on November 24, 2014, was approximately 27107.76.

(c) C(92) = 1715.70.

This means that on the 92nd day from May 1, 2014, the number of Ebola cases in Africa was approximately 1715.70.

Computed using the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

We are given that the spread of the Ebola virus in Africa in 2014 could be modeled by the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex], where C represents the number of cases and t represents the number of days since May 1, 2014.

(a) In the question, we are asked for the approximate number of cases on May 1, 2014.

Since, the date is May 1, 2014, t = 0.

Thus, the number of cases, C, can be calculated by putting t = 0, in the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

[tex]C(0) = 188.59e^{0.024*0}\\\Rightarrow C(0) = 188.59e^0\\\Rightarrow C(0) = 188.59[/tex]

Thus, the number of cases on May 1, 2014, was approximately 188.59.

(b) In the question, we are asked for the approximate number of cases on November 24, 2014.

Since, the date is November 24, 2014, t = 207.

Thus, the number of cases, C, can be calculated by putting t = 207, in the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

[tex]C(207) = 188.59e^{0.024*207}\\\Rightarrow C(207) = 188.59e^{4.968}\\\Rightarrow C(207) = 188.59*143.739121458\\\Rightarrow C(207) = 27107.76[/tex]

Thus, the number of cases on November 24, 2014, was approximately 27107.76.

(c) We are asked to find C(92).

This can be found by putting t = 92, in the exponential equation, [tex]C(t) = 188.59e^{0.024t}[/tex].

[tex]C(92) = 188.59e^{0.024*92}\\\Rightarrow C(92) = 188.59e^{2.208}\\\Rightarrow C(92) = 188.59*9.09750317953\\\Rightarrow C(92) = 1715.70[/tex]

Thus, C(92) = 1715.70.

This means that on the 92nd day from May 1, 2014, the number of Ebola cases in Africa was approximately 1715.70.

The complete question is:

"The spread of the Ebola virus in Africa in 2014 could be modeled by [tex]C(t) = 188.59e^{0.024t}[/tex] where C represents the number of cases and t represents the number of days since May 1, 2014. (source: http://www.geert.io/exponential-growth-of-ebola.html)

a. [3 pts] Approximately how many cases were there on May 1, 2014?

b. [3 pts] How many cases were projected by November 24, 2014?

c. [4 pts] Find C(92) and explain what it means in the context of the problem.

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The value of AC = 23

According to the statement

Here we have given the values of tangent from the diagram

EC = 9, ED = 12, and BD = 20.

and we have to find the value of AC.

We know that the according to the given diagram the tangent

BE is always equal to the Tangent AE.

So, we generate a equation to find the AC then

BE = AE

Convert this into parts like

BD +DE = AC+CE

Substitute the values in it which are given in the statement

20+12 = AC + 9

32 = AC + 9

32 -9 = AC

AC = 23

So, The value of AC = 23

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Ray has the incorrect reasoning because he incorrectly select the sine  function when he should have utilized the tangent.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The height of the ray can be found using trigonometric ratios.

Therefore,

tan 30 = opposite / adjacent

where

opposite side = height

adjacent side = 35 inches

Therefore,

tan 30° =  height / 35

cross multiply

height = 35 tan 30°

height = 20.2072594216

height = 20.21 inches

Therefore, Ray has the incorrect reasoning because he incorrectly select the sine  function when he should have utilized the tangent.

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Answer:

1. Ray

2. Sine

3. Tangent

Step-by-step explanation:

Plato/Edmentum

The sales price of the jacket is $140.

A price markdown is a planned decrease in the retail item's selling price. It is used to accelerate an item's sales rate, usually for clearing at the closing of a season or to get rid of outdated goods when their useful lives have passed.

Markdown prices are reductions in a product's selling price from its initial selling price expressed as a rate called markdown percentage. Markdown prices are more commonly referred to as discounts. 

From the given information:

Then the sales price of the jacket is:

= $175 - (20% of $175)

=$175 -  $35

= $140

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From the line bisected with the given midpoints, we have been able to prove that; BC = CE by substitution property of Equality

We are given that;

C is the midpoint of BD

D is the midpoint of CE

1) Thus, BC = CD because of definition of Midpoint.

2) Similarly, by definition of midpoint we know that CD = DE.

3)  We can say that BC = DE because of substitution property of equality.

4) We can say that BC + CD = BD because of segment addition postulate.

5) Similarly, by segment addition postulate, we can say that CD + DE = CE.

6) Finally we can say that BC = CE by substitution property of Equality

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The function with the greatest average rate of change is the function k(x)

The average rate of change is calculated as

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

The interval is [0,2].

So, we have

[tex]m = \frac{y_2 - y_1}{2 -0}[/tex]

[tex]m = \frac{y_2 - y_1}{2}[/tex]

For function j(x), we have

j(2) = 3 * 1.6^2 = 7.68

j(2) = 3 * 1.6^0 = 3

So, we have

[tex]m_j = \frac{7.68 - 3}{2}[/tex]

[tex]m_j = 2.34[/tex]

For function g(x), we have

g(2) = 25/2

g(0) = 8

So, we have

[tex]m_g = \frac{25/2 - 8}{2}[/tex]

[tex]m_g = 2.25[/tex]

For function k(x), we have

k(2) = 9

k(0) = 4

So, we have

[tex]m_k = \frac{9 - 4}{2}[/tex]

[tex]m_k = 2.5[/tex]

For function f(x), we have

f(2) = 1.5 * 2^2 = 6

f(0) = 1.5

So, we have

[tex]m_f = \frac{6 - 1.5}{2}[/tex]

[tex]m_f = 2.25[/tex]

The function with the greatest average rate of change is the function k(x) with a rate of 2.5

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La relación dada es una función si x = 4 y y = - 1. La representación de la función es f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}.

Las relaciones están formadas por dos conjuntos relacionados entre sí, un conjunto de entrada denominado dominio y uno de salida denominado rango. Una función es una relación cuyos elementos del dominio solo están asociados a un solo valor del rango.

Bajo estas consideraciones, tenemos que (2, 8) = (2, x² - 2 · x) y (3, 9) = (3, y + 4), cuyas ecuaciones algebraicas se resuelven a continuación:

x² - 2 · x = 8     (1)

y + 4 = 9     (2)

By (1):

x² - 2 · x - 8 = 0

(x - 4) · (x + 2) = 0

x = 4 ∨ x = - 2

By (2):

y = 5

Si sabemos que x = 4 y y = - 1, entonces la representación de la función es:

f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}

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1/3 = 1/3 × 100%

= 33%

☆ 33 % < 35 %

Therefore

* 1/3 is the smaller one.

☆...hope this helps...☆

_♡_mashi_♡_

The comparison of  1/3 and 35% in decimals shows that 1/3 is smaller than 35%.  

Given that:

The fraction is  1/3 and the number in percentage is 35%.

The conversion of  a fraction to a percentage can be obtained by  dividing the numerator by the denominator and multiply by 100.

The decimal form of the fraction 1/3 is 33.33...%

1/3 ≈ 0.3333...

0.3333... * 100 ≈ 33.33...%

The value 35% is already in percentage.

Since, both the values are in percentage form, it can be easily compared.

On comparing, the resultant would be

33.33...% < 35%

Since 35% is greater than 33.33...%

It can be concluded  that 35% is larger than 1/3.

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The probabilities in each of the given categories are; A) 51.33%; B) 51.33% C) 30.33% D) 30.33%

The number of ways to select 2 out of 25 is; 25C2 = 25! / (23! * 2!)

= 25*24/2

= 300

(A) Probability of selecting 1 male and 1 female:

[(11C1) * (14C1)]/300 = [11!/(10! * 1!)] * [(14!/(12! * 2!))

= 51.33%

(B)  Probability of selecting 1 female and 1 male:

[(14C1) * (11C1)]/300 = 51.33%

(C)   Probability that 2 females are selected is;

(14C2)/300 = 30.33%

D) Probability that no males are selected is;

P(no males) = (11C0 * 14C2 )/300 = 30.33%

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Answer:

(0, -2) and (2, 0)

Step-by-step explanation:

The solution to a systems of equations is when the x and y values are equal for two equations. This can also been seen as when the two equations intersect. So by looking at the graph you see the line and the circle intersect at the point (2, 0) and (0, -2) which are going to be the two solutions to the systems of equations.

A Ferris wheel with a diameter of 10 m and makes one complete revolution every 80 seconds. Assuming that at time t = 0, the Ferris Wheel is at its lowest height above the ground of 2 m, the cosine equation of the graph drawn is, y = 5 cos [( π/40)(x - (π/2))] + 3.  Here, amplitude of the graph is 5, value of k is  π/40, d is π/2 and c is 3.

Developing the Equation of a Cosine Graph

The given information constitutes the following,

Diameter = 10 m

⇒ Radius, r = 5 m

Time, t = 80 s

Height above the ground, h = 2 m

Thus, we can infer that,

Amplitude, A = 5 m

Period, T = 80 s

Minimum height = 2 m

The cosine function is given as,

a cos [k(x − d)] + c

Here, A is amplitude

B is cycles from 0 to 2π and thus period = 2π/k

d is horizontal shift

c is vertical shift (displacement)

Now, 2π/k = 80

⇒ k = 2π/80 = π/40

The value of c is given as,

c = Amplitude - Minimum height

c = 5 - 2

c = 3

For a shift to the left by π/2 gives, we have,

d = π/2

Thus, the desired equation of the drawn cosine graph is,

y = 5 cos [( π/40)(x - (π/2))] + 3

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Answer:

m∠B > m∠C > m∠A

Step-by-step explanation:

The angle opposite the largest side in a triangle is the largest, and the angle opposite the shortest side is the smallest.

The information given illustrates that the graph of the function decreasing.

We say that a function is increasing on an interval if the function values increase as the input values increase within that interval.

Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval.

So according to the given graph on the interval (-3, 1) the graph is decreasing.

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Answer:

false

correct me if i'm wrong :]

Answer:

True

Step-by-step explanation:

the picture is the explanation and pretty much sus everything up about integers

Answer:

Answer is..... D

Step-by-step explanation:

every single flipping may two results, head or tail.So last one has equal chance.

Answer: -5

Step-by-step explanation:

-3x+9y=-57                x=4

-3(4)+9y=-57

-12+9y=-57

             +12

9y=-45

    9y

y=-5

Answer:

y=5

Step-by-step explanation:

OK, let see, 2x+y=7, –3x+y=2:

[tex]2x + y = 7 \\ - 3x + y = 2 \\ we \: need \: to \: solve \: the \: equation \: so \\ - 2x - y = - 7 \\ - 3x + y = 2 \\ - 5x = - 5 = = > x = 1 \\ 2(1) + y = 7 = = = > y = 5[/tex]

It is true teachers can increase spatial awareness as they use position words or implement mapping and shape manipulation.

This refers to the ability to understand the position of one's body in relation to space and other objects as well as understanding how location and movement work.

In children spatial awareness can be increased through:

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The correct matching of the exponential form is given.

1: 13^-11 × 13^16 × 13^-3 × 13^-4 × 13^-5

= 13

2. 13^-21 × 13^-4 × 13^-5 × 13^14 × 13^-6

= 13^-22

3. 13^0 × 13^10 × 13^-12 × 13^5 × 13^4

= 13^7

This illustrates the exponential form.

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Answer:

[tex]\mathrm{pK}_{\mathrm{a}}+\mathrm{pK}_{\mathrm{b}}=\mathrm{pK}_{\mathrm{w}}[/tex] for [tex]\mathrm{HCl}[/tex] \& [tex]\mathrm{ClOH}[/tex]

Answer:

f(x):  Amplitude = 2, Period = 2

g(x):  Amplitude = ¹/₂, Period = π

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

f(x) = A cos(B(x + C)) + D

where:

Function f(x)

[tex]f(x)=2 \cos (\pi x)[/tex]

Comparing this with the standard form of a cosine function:

Function g(x)

[tex]g(x)=\dfrac{1}{2} \cos (2x)[/tex]

Comparing this with the standard form of a cosine function:

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Convert [tex]-1+i[/tex] to polar form.

[tex]z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}[/tex]

By de Moivre's theorem,

[tex]\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)[/tex]

QED