A café's annual income depends on x, the number of customers. The function /(x) = 4x2 – 20x
describes the café's total annual income. The function C(x) = 2x2 + 5 describes the total amount
the café spends in a year. The café's annual profit, P(x), is the difference between the annual income and the amount spent in a year.
Which function describes P(x)?
A. P(x)= 2x^2 - 20x - 5
B. P(x)= 4x^3 - 20x^2
C. P(x)= 6x^2 - 20x + 5
D. P(x)= 8x^4 - 40x^3 - 20x^2 - 100x

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

Answer:

35 Car Washes  

Step-by-step explanation:

Data:-

Sale Charges per wash = $6/-

Cost per wash = $2/-

Base cost = $80/-

Required Profit = $60/-

Required:-

No of Cash Washes to reach the required profit = ?

Solution:-

Sales - VC = Contribution Margin

$6 - $2 = $4 per unit

Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit

= $80 + $60 / $4

= 35 Units  

Answer:

A, B, and D

Step-by-step explanation:

Answer:

Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

Step-by-step explanation:

Here  

Taxi charges  (y) = $2 + 1.50 ( x )

Airplane descends with the slope constant slope of 20 feet per minute.

Pizza charge ( y ) = $5.50 + 0.50 ( x )

Thus from the above equated equation we can conclude Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

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Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Answer:

B.

Step-by-step explanation:

The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).

The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.

For a 14-sided polygon, the sum of the interior angles would be:

180(14 - 2).

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Answer:

Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.

Step-by-step explanation:

Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno

Cos A = b² + c²-a² / 2bc ------ ecuación A

Cos B = a² + c²-b² / 2ac ------- ecuación B

y Cos C = b² + a²-c² / 2ab ------ ecuación C

Si tomamos a = 29, b = 35 y c = 48

Luego, poniendo los valores

Cos A = b² + c²-a² / 2bc

Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)

Cos A = 1225 + 2304-841 / 3360

Cos A = 0,8

A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.

similar

Cos B = a² + c²-b² / 2ac

Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)

Cos B = 1920/2784

B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados

Y

Cos C = b² + a²-c² / 2ab

Porque C = 1225 + 841-2304 / 2 * 29 * 35

Cos C = -0,11724

C = cos ⁻¹ -0,11724

C = 96,73 = 97 grados

la altura se puede calcular usando la fórmula

h = b. sin C = c. Pecado B

h = 35 sin 97 °

h = 34,75 = 35 cm

English

Using the cosine rule we can find the measures of the angles of the scalene triangle

Cos A= b²+c²-a²/ 2bc------ equation A

Cos B = a²+c²-b²/ 2ac------- equation B

and Cos C= b²+a²-c²/ 2ab------ equation C

If we take a= 29 , b= 35 and c= 48

Then by putting the values

Cos A= b²+c²-a²/ 2bc

Cos A= (35)² + (48)² - (29)²/ 2(35) (48)

Cos A= 1225+2304-841/ 3360

Cos A= 0.8

A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.

Similarly

Cos B = a²+c²-b²/ 2ac

Cos B = (29)²+(48)²-(35)²/ 2(29) (48)

Cos B=  1920/2784

B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees

And

Cos C= b²+a²-c²/ 2ab

Cos C= 1225+841-2304/2*29*35

Cos C= -0.11724

C= cos ⁻¹ -0.11724

C= 96.73= 97 degrees

the height can be calculated using the formula

h= b. sin C= c. Sin B

h= 35 sin 97°

h= 34.75= 35 cm

The angles are 36, 47 and 97 degrees and height is 35 cm

Add a+b+c=p for the triangle.

24+26+10=60, Then add this to the semi-circles perimeter.

p=r(pi+2)

r=d/2

p=13(3.14+2)

p=13(5.14)

p=66.82

Add 66.82+60

66.82+60=126.82

Answer: 126.82

Answer:

The total cost of Raul's 32%

Answer:

(1/7)^(-1)<(1/7)^(-2)

7(-1)<(1/7)^(-1)

7^-2<7^-1

Step-by-step explanation:

U can look at the negative exponent that negative sign as the divide sign over 1

7^(-1)means 1/7

7^(-2) means 1/7^(2)=1/49

(1/7)^(-1)=7

(1/7)^(-2)=49

Answer:

Hello! Answer: 496

Step-by-step explanation:

When finding area for triangles we have to do base x height then divide by 2 so

62 x 16 = 992

992 ÷ 2 = 496

So 496 is our answer!

Answer:

A - 496

Step-by-step explanation:

formula for area of a triangle

[tex]a = \frac{bh}{2} [/tex]

where b = base length and h = height

The triangle shown has a base length of 62 ft and a height of 16 ft

That being said we plug in the given values into the formula

[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]

Hence the area of the triangle is 496 square feet

Answer:

2 i think

Step-by-step explanation:

if a/b is 2 then it means a/b is equivalent to  2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2

Answer:

2

Step-by-step explanation:

We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.

add these values into the equation

4(1)/2

4/2

2

Answer:

As both prism have the same base area and height there volumes are the same.

Step-by-step explanation:

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                              = 5 units*12 units

                             = 60 cubic units

As both prism have the same base area and height there volumes are the same.

The length of the longer side is the length of the triangle itself.

For example the length of longer side of prism A maybe 10 units but width may be 1/2 units

and

the length of longer side of prism B maybe 15 units but width may be 1/3 units

the total base area remains the same.

Answer:60 cubic units

Step-by-step explanation:

Answer:

its b i think dont trust though

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer: A notebook cost $2.25

A pen cost $3.50

Step-by-step explanation:

Let the price of notebook be n

Let the price of pens be p.

Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:

4n + 2p = 16 ..... equation i

Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:

5n + p = 14.75 ..... equation ii

Combining both equations will give us:

4n + 2p = 16 ..... i

5n + p = 14.75 ...... ii

Multiply equation i by 1

Multiply equation ii by 2

4n + 2p = 16 ....... iii

10n + 2p = 29.50 ...... iv

Subtract equation iii from iv

6n = 13.50

n = 13.50/6

n = 2.25

A notebook cost $2.25

Since 4n + 2p = 16 from equation I

4n + 2p = 16

4(2.25) + 2p = 16

9 + 2p = 16

2p = 16 - 9

2p = 7

p = 7/2

p = 3.5

A pen cost $3.50

Answer:

I think its B

Step-by-step explanation:

Answer:

3rd one!

Step-by-step explanation:

I think it’s B but I am not sure sorry dude

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

10√6 ; √5/6 ; 42√14

Step-by-step explanation:

1)  - factorise 240

240/ 2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

240 = 2^4 * 3 * 5

- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex]  by dividing the index of the radius and the exponent by 2

[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]

- factorise 12

12/2 =.6

6/2 = 3

3/3 = 1

12 = 2^2 * 3

- simplify [tex]\sqrt{2^2 *3}[/tex]

[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]

- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]

number : number = 4/2 = 2

square : square = √15 / √3 = √5

[tex]2\sqrt{5}[/tex]

- multiply √30 with 2√5

number x number = 2x1 = 2

square x square = √30 x √5 = √150

2√150

- factorize 150

150/ 2 = 75

75/3 = 25

25/5 = 5

5/5 = 1

150 = 5^2 x 2 x 3

- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]

[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]

- multiply 2 and 5

10√6

2)  remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]

- rewrite the expression in this way

[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]

- solve the squares of the denominators

√5/3 + √5/12 -√5/4

- rewrite the fraction with the same denominator = 12

(4√5 + √5 - 3√5)/12

- simplify the numerators by sum the numbers

2√5/12

- divide 2 and 12

√5/6

3)

- multiply 3√2 and √14

number x number = 3 x 1 = 3

square x square = √2 x √14  = √28

3√28

- factorise 28

28 = 2^2 x 7

- simplify [tex]\sqrt{2^2 *7}[/tex]

[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]

- multiply 3 and 2

6√7

- factorise 98

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 * 2

- simplify [tex]\sqrt{7^2 * 2}[/tex]

[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]

- multiply 6√7 and 7√2

number x number = 42

square x square = √14

42√14

Answer: 175

Step-by-step explanation: Do 5425 divided by 31

Answer:

A gorilla will eat an average of 175 pounds of food a day.

Step-by-step explanation:

The gorilla will eat 5,425 pounds a day per month. According to your 31-day month, to find the amount the gorilla will eat per day, we need to divide his monthly consumptions by 31.

5425/31 = 175.

Answer: 1st one is geometric I think not fully sure but the second is 3 times

Step-by-step explanation: I was doing it

Answer:

geometric, 3 times

Step-by-step explanation:

imagine math

Answer:

1911.5 cm^3

Step-by-step explanation:

Answer:

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Step-by-step explanation:

The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)

Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.

If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]

[tex]V \approx 1911.498\,cm^{3}[/tex]

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Answer:

66.04

Step-by-step explanation:

26 x 2.54 =

= 66.04

Answer:

66.04 cm

Step-by-step explanation:

All you need to do is multiply 2.54 cm twenty-six times for your answer.

     2  .  5      4

2║40║10 ║0.8  ║→ 50.8

6║ 12║ 3 ║0.24║→ 15.24

50.8 + 15.24 = 66.04