A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school?

A. $75,750 C. -$13,950
B. $210,750 D. $239,250

*see attachment for the diagram of the information given

Answer:

115.8°

Step-by-step explanation:

Due west = 83 miles

Northwest = 111 miles

Distance to its original position = 165 miles

Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.

Thus, to find x, we'd apply the Law of Cosine which is given as:

c² = a² + b² - 2ab*cos C

Where,

C = x

a = 83 miles

b = 111 miles

c = 165 miles

Plug in the values

165² = 83² + 111² - 2*83*111*Cos x

27,225 = 19,210 - 18,426*Cos x

27,225 - 19,210 = - 18,426*Cos x

8,015 = -18,426*Cos x

8,015 = -18,426*Cos x

8,015/-18,426 = Cos x

-0.434983176 = Cos Cmx

Cos x = -0.434983176

x = cos^{-1}(-0.434983176)

x = 115.784223°

x = 115.8°

Answer:

84+ z =180

Step-by-step explanation:

42 x 2=84

84+ z =180

Answer:

Variación de temperatura: 310°C

Step-by-step explanation:

La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:

Variación de temperatura: |-273°C - 37°C|

Variación de temperatura: |-310°C|

Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)

Answer:

That's the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]A=(3+8)\cdot4+\frac12\cdot3\cdot2+\frac12\cdot3\cdot3=44+3+4,5=51.5\,ft[/tex]

Answer:

Using the slope-intercept form, the slope is 23, but you will have to combine 2/3 and x. y= 2x/3+2

Step-by-step explanation:

if this helped subscribe to amiredagoat Yt

Incomplete question. The missing options read;

a. Kate surveys every 8th student from a roster of the choir members.

b. Kate surveys the football team.

c. Kate surveys seventh-grade students.  

d. Kate surveys every 4th student entering the school.

Answer:

d. Kate surveys every 4th student entering the school.

Step-by-step explanation:

Interestingly, after careful examination of all the listed sampling methods, none except option d would best produce a representative sample of the population.

This is because;

in the first, second, and third option, none of them evenly represents the entire school population; meaning it fails to produce a representative sample of the population.

However, if Kate surveys every 4th student entering the school, then chances of getting a representative sample of the entire school population are very likely; as different grade level students would likely be entering into the school when the survey activity is taking place.

Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

To learn more about the function;

brainly.com/question/28303908

#SPJ2

Answer:

350 miles in 7 hours

Step-by-step explanation:

If you drive 150 miles in 3 hours, you need to find the "base" meaning how many miles you can go to by 1 hour. To do that you divide 150 with 3 Which equals to 50. So in 1 hour you can travel up to 50 miles. But we need to find how many miles you can go by 7 hours. For that you multiply 50 with 7.

Therefore the answer is 350 miles.

Step-by-step explanation:

the answer is 8 units

I remember I had this

Answer:

x = [tex]\frac{91}{6}[/tex]

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

6x = 7 × 13 = 91 ( divide both sides by 6 )

x = [tex]\frac{91}{6}[/tex]

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

260000

Estimate = 300000

Answer:

f(x) = (1/5)^x

Step-by-step explanation:

We have

x = 1, f(x) = 1/5

x = 0, f(x) = (1/5)^0 = 1

x = 2, f(x) = (1/5)^2 = 1/25

That means we have

f(x) = (1/5)^x

Answer:

f(x)=[tex]5^{-x}[/tex]

Step-by-step explanation:

Not sure if this is what you're looking for but i hope this helps

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

Answer:

the slope is 3/2

Step-by-step explanation:

Answer:

1.5

Explanation:

the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.

since the line is moving upwards, it is positive.

thus, the slope of the line is 3 ÷ 2 = 1.5.

Answer:

Step-by-step explanation:

Let

x = first odd number

x + 2 = second odd number

x + 4 = third odd number

Total = 53

53 = x + (x + 2) + (x + 4)

53 = x + x + 2 + x + 4

53 = 3x + 6

53 - 6 = 3x

47 = 3x

x = 47/3

x = 15.7

x + 2 = second odd number

15.7 + 2 = 17.7

Second number = 17.7

Answer:

k=45

equation: y=x+45

Step-by-step explanation:

60=15+k

substract 15 on both sides to get 45=k

Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]

if we replace cot(x) and csc(x) we get:

[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]

Now let's we can rewrite this as:

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

[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]

We can't simplify it more.

Second case:

If the initial equation was

[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]

Then if we replace cot(x) and csc(x)

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

This is equal to:

[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

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

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Ratio=12:40[/tex]

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

[tex]Ratio = Scale : Actual[/tex]

So, we have:

[tex]Scale : Actual = 12 : 40[/tex]

Express as fraction

[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]

Make Actual, the subject

[tex]Actual = \frac{40}{12} * Scale[/tex]

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

[tex]Actual = \frac{40}{12} * 60[/tex]

[tex]Actual = 200[/tex]

i hope this helps and yea i guess

Answer:

Steps:

SA = 2(L×W) + 2(H×L) + 2(H×W)

given:

L = 9 cm

W = 4 cm

H = 7 cm

SA = 2(9×4) + 2(7×9) + 2(7×4)

SA = 2×36 + 2×63 + 2×28

SA = 72 + 126 + 56

SA = 254 cm²

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

Answer:

1312.5 minutes

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72

What are the possible numbers of minutes she has used her phone in a month?

Use m for the number of minutes, and solve your inequality for m.

The term least = ≥ = greater than or equal to

Our inequality equation is given as:

$25 + $0.06 × m ≥ $103.72

25 + 0.06m ≥ 103.72

0.06m ≥ 103.72 - 25

0.06m≥ 78.75

m ≥ 78.75/0.06

m ≥ 1312.5 minutes

The possible number of minutes she used is 1312.5 minutes

Given:

In triangle [tex]ABC, AB=9,BC=4,AC=7[/tex].

To find:

The measure of angle C.

Solution:

We have, [tex]AB=9,BC=4,AC=7[/tex]. It means [tex]c=9,a=4,b=7[/tex].

According to the law of cosines:

[tex]cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}[/tex]

[tex]cos C=\dfrac{16+49-81}{56}[/tex]

[tex]cos C=\dfrac{-16}{56}[/tex]

Taking cos inverse on both sides, we get

[tex]C=cos^{-1} \dfrac{-16}{56}[/tex]

[tex]C=106.60155[/tex]

[tex]C\approx 106.6[/tex]

Therefore, the correct option is C.

Answer:

5.) 48

6.) 60

It's the other half of the triangle.

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

Answer:

Not enough information to answer this question.