A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that is they set the price at x dollars, they will sell f(x)=4080-10x. Therefore, the company's revenue is x(4080-10x).

Answer:

16pi

Step-by-step explanation:

Answer:

50.24 cm^2

Step-by-step explanation:

The formula of the area of a circle is πr².

by substituting each values as π=3.14, r²=4², we get, 3.14×4²=3.14×16

= 50.24cm²

Answer:

Step-by-step explanation:

4(y+3) + 3(y+2)

= 4y + 12 + 3y + 6

= 4y + 3y + 12 + 6

= 7y + 18

Hope this helps

plz mark it as brainliest!!!!!!!!!!

Step-by-step explanation:

4(y+3)+3(y+2)

4y+4(3)+3y+3(2)

4y+12+3y+6

4y+3y+12+6

7y+18

hope it helps

Answer:

12 7/10

Step-by-step explanation:

13  - 12/40

Simplify the fraction

13 - 3/10

Borrow 1 from 13 in the form of 10/10

12 + 10/10 - 3/10

12 7/10

Answer:

Step-by-step explanation:

We are going to use the areas given to find the lengths of the sides of each of their respective squares. For the purple square, the area is 35 units squared. Because the formula for the area is A = s * s, then we can fill in the value for the area and solve for s, the side length, of the purple square.

[tex]35=s^2[/tex] and

[tex]s=\sqrt{35}[/tex]. That side length also serves as the height of the right triangle. Now on to the blue square on the bottom. It has an area of 50 units squared, so

[tex]50=s^2[/tex] and

[tex]s=\sqrt{50}[/tex]. We could feasibly simplify that, but it's not necessary, really. That side serves as the base of the right triangle. Now we can use Pythagorean's Theorem to find the length of the hypotenuse of the right triangle, which also serves as the side of the big blue square. We will call the side of the big blue square x.

[tex]x^2=(\sqrt{35})^2+(\sqrt{50})^2[/tex] and

[tex]x^2=35+50[/tex] and

[tex]x^2=85[/tex] and

[tex]x=\sqrt{85}[/tex]. That is the side length of the large blue square. The area for the square is s * s, and since we know the side length to be √85:

[tex]A=(\sqrt{85})(\sqrt{85})[/tex] so

A = 85 units squared

Answer:

17/6

Step-by-step explanation:

El único problema aquí es conocer las operaciones con el surd por favor note que;

√a * √a = a Así;

√3 * √3 = 3

Entonces, la otra cosa a tener en cuenta es el orden de las ecuaciones.

Resolvemos los corchetes antes de proceder con cualquier otra cosa.

1 / 3√3 * 5 / 4√3 = 5/12 (3) = 5/36

Es esto lo que agregamos a 7/4

5/36 + 7/4 = (5 + 63) / 36 = 68/36 = 17/6

Answer:

25 pounds of mix A

10 pounds of mix B

Step-by-step explanation:

Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

[tex]0.5A+0.25B=15[/tex]

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

[tex]0.5A+0.75B=20[/tex]

Solving the linear system:

[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where the slope m is:

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

We have the points (2, -3) and (-6, -1).

Substitute:

[tex]m=\dfrac{-1-(-3)}{-6-2}=\dfrac{2}{-8}=-\dfrac{1}{4}[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)\\\\y+3=-\dfrac{1}{4}(x-2)\to\text{point-slope form}[/tex]

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}x+\dfrac{1}{2}[/tex]         subtract 3 from both sides

[tex]y=-\dfrac{1}{4}x-2\dfrac{1}{2}\to\text{slope-intercept form}[/tex]

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]      multiply both sides by 4

[tex]4y+12=-(x-2)[/tex]

[tex]4y+12=-x+2[/tex]        subtract 12 from both sides

[tex]4y=-x-10[/tex]           add x to both sides

[tex]x+4y=-10\to\text{standard form}[/tex]

Answer:

$1.33

Step-by-step explanation:

let the cost of apple be $x .

now according to question the two shoppers spend the same amount

4.75x+4=5.5x+3

0.75x=1

x= 4/3= $1.33

therefore,  pound of apples cost = $1.33

Answer:

32

Step-by-step explanation:

A : B : C: total

2   3    4   2+3+4 = 9

Take the number of rolls received 72 and divide by 9

72/9 = 8

Multiply each number by 8

A     :  B    :   C   : total

2*8   3*8    4*8   9*8

 16     24      32    72

C received 32 rolls

Answer:

a) Cost of flying from A to B = $425

b) Total distance travelled by Piravena during the complete trip = 7,500 km

c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.

Step-by-step explanation:

The complete question is presented in the attached image to this question.

Full Question

a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.

b) Determine the distance she travels for her complete trip.

c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.

Solution

a) The distance from A to B is given as 3250 km.

To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.

So, to fly 3250 km, she will pay

100 + (0.10×3250) = $425

b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.

Her complete distance travelled = AB + BC + CA

But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.

Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides

AB² = BC² + CA²

3250² = BC² + 3000²

BC² = 3250² - 3000² = 1,562,500

BC = √1,562,500 = 1,250 km

Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km

c) Her total cost of travel = $1012.50

But she definitely flew from A to B at a cost of $425

This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5

Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.

To confirm this, we calculate the two options (bus or airplane) for each route.

If she travels B to C by bus, cost = 0.15 × 1250 = $187.5

If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225

Hence, the bus obviously minimizes cost here.

If she travels from C to A by bus, cost = 0.15 × 3000 = $450

If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400

Here, travelling by airplane minimizes the cost.

So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5

which is the remaining part of her total cost is she minimized expenses!

Hope this Helps!!!

Answer:

The distance is 7500 kilometers

Step-by-step explanation:

I got the answer wrong myself and the website told me that it’s 7500 kilometers

Answer:

31

Step-by-step explanation:

Median is the middle number when you order them ascending.

Answer:

40 million acres.

Step-by-step explanation:

15 ,27, 31, 40, 44. The median number is the middle number(arranged from least to greatest). In 5 numbers, the middle number is the 3rd number(arranged from least to greatest), therefore; the answer is 31.

Answer:

-(x - 4)² + 6

Max height: 6

Step-by-step explanation:

Step 1: Factor out negative

0 = -(x² - 8x + 10)

Step 2: Divide by -1

0 = x² - 8x + 10

Step 3: Move 10 over

-10 = x² - 8x

Step 4: Complete the Square

-10 + 16 = x² - 8x + 16

6 = (x - 4)²

Step 5: Move 6 over

(x - 4)² - 6

Step 6: Multiply by -1

-(x - 4)² + 6

The maximum height of the puck is 6 feet. We look at k in f(x) = a(bx - h)² + k.

Answer:

-(x-4)^2+6=0

maximum point (4,6)

max=6

Step-by-step explanation:

−x^2 + 8x − 10 use the formula (b/2)^2 to create a new term to complete the square: b=8 so the new term is (8/2)^2 = 16

−x^2 + 8x − 10+16=0

factorize : -x^2+8x+16-10

-(x-4)^2+6=0

to find the maximum value : x= -b/2a b=8 and a=-1

x=-8/-2

x=4 substitute the value of x in the equation:

-4^2+8(4)-10=-16+32-10=6

Answer:

1) The student didn't add copper sulfate but instead he added calcium carbonate.

2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.

3) He should use copper carbonate not calcium carbonate.

4) Sulfuric acid was added instead of hydrochloric acid.

5) Add solid excessively so that all of the acid is retained.

6) Filter the solution to remove unreacted solid.

7) Heat gently, so the crystals will start to appear.

The reactants in this reaction ought to have been copper carbonate and sulfuric acid.

The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;

If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3​(s) + H2​SO(​aq) → CuSO4​(aq) + CO2​(g) + H2​O(l).

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2 < x < 12,

4 < x < 21,

-1 < x < 9

0 < x < 8

x<6

From above: 4 < x < 6 --> x = 5.

Answer: B.

Answer:

120 m

Step-by-step explanation:

LCM of 1.6 and 15 will give us the distance

Put 1,6 and 15 in same format:

LCM= 2*2*2*2*3*5*5/10= 120 m

So the next point is 120 m apart

Answer:

97 is a prime number.

Prime[25] = 97

Answer:

40 oranges.

Step-by-step explanation:

We have the following information:

John bought "x" oranges for $ 20  plus each orange for John costs 20 / x.

After  Jenny bought x + 10 oranges for mimes $ 20  and also each orange for Jenny costs 20 / (x + 10) . They tell us that the difference in price was 10 cents, that is to say 0.10 dollars, we would have the following:

20 / x - 20 / (x + 10) = 0.10

solving:

20x + 200 - 20 * x = 0.10 (x² + 10 * x)

x² + 10 * x-2000 = 0

we factor

(x + 50) (x-40) = 0

x + 50 = 0 => x = -50, this answer cannot be

x - 40 = 0 => x = 40, it is a viable answer so John bought a total of 40 oranges.

Answer:

a. 5.25cm

b. 374.6 cm^2

Step-by-step explanation:

The radius of the conical cup is half the length of the arc formed

Mathematically, the length of the arc would be;

L = theta/360 * 2 * pi * r

L = 135/360 * 2 * 22/7 * 14 = 33 cm

Now, the arc of this sector will become the base circumference of the circular base of the cone

Thus;

2 * pi * R = 33

2 * 22/7 * R = 33

R = (7 * 33)/44 = 5.25 cm

b. The volume of the cone

Kindly note that the radius of the circle becomes the height of the cone

Mathematically;

V = 1/3 * pi * r^2 * h

Kindly note that the radius of the circle will become the slang height of the cone

We can use pythagoras’ theorem to find the height of the cone

Pythagoras theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

So here, slant height l is the hypotenuse, h and r are the other two sides

So 14^2 -5.25^2 = h^2

h^2 = 168.4375

h = 12.98 cm

Volume is thus ;

1/3 * pi * 5.25^2 * 12.98 = 374.6 cm^3

Answer:

4th Option

Step-by-step explanation:

When we look for side x, we have multiple ways:

cos60° = 10/x

x = 10/cos60°

sin30° = 10/x

x = 10/sin30°

sin60° = 15/x

x = 15/sin60°

cos30° = 15/x

x = 15/cos30°

Out of these choices, only the 4th Option is present, so that is our answer.

Answer:

D; Height, dollars and width

Step-by-step explanation:

By definition, the response variables are referred to as the y-variables.

They are known as the dependent variables or less generally as the outcome variables

From the plots here, the response variables which are the y-plots are Height, dollars and width

Answer:

D; Height, dollars and width

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

Sequence 1 has common difference of 4 and sequence 2 has 7

The first terms are common

We need a new sequence with common difference of:

So the next common term is 1+28= 29 and the following one is 29+28= 57

Sum of 3 terms:

Answer:

87

Step-by-step explanation:

The first sequence:

1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...

The second sequence:

1, 8, 15, 22, 29, 36, 43, 50, 57, 63...

The first three common terms are 1, 29, 57.

The sum of the first three common terms:

1 + 29 + 57

= 87

Answer:

9

Step-by-step explanation:

List them in order first.

3, 4, 5, 7, 9, 10, 11, 12, 20

Now find the middle number:

3, 4, 5, 7, 9, 10, 11, 12, 20

   4, 5, 7, 9, 10, 11, 12

       5, 7, 9, 10, 11

           7, 9, 10,

               9

Answer:

Median = 9

Step-by-step explanation:

Arranging it in ascending order:

=> 3, 4, 5, 7, 9, 10, 11, 12, 20

Median is the middlemost no. so

=> Median = 9

Answer:

65

Step-by-step explanation:

Angle M and angle L are supplementary angles, so they add up to 180°.

180 - 115

= 65

The measure of angle L is 65 degrees.

You need to give us answer choices.

However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.

The length of BE could possibly be 27 units.

- I hope this helps. Next time, please use the search feature :)))

Answer:

x³ - 4x² - 25x + 28

Step-by-step explanation:

Step 1: Write out binomial linear factors

(x - 1)(x - 7)(x + 4)

Step 2: Expand

(x²  - 8x + 7)(x + 4)

Step 3: Expand

x³ - 4x² - 25x + 28

Answer:

[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]

hope this helps

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

Answer:

Step-by-step explanation:

$0.50 per centimeters i think

Answer:

Step-by-step explanation:

The trick here is to notice that :

Now let's replace by the values we khow :

So AB=6 cm and DE=15 cm

From the given information in the diagram

a) The length of DE is 15cm and

b) The length of AB is 6cm

From the question,

Triangles ABC and CDE are mathematically similar.

a) To determine the length of DE

Since ΔABC is similar to ΔCDE

By similar triangles theorem, we can write that

[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]

From the diagram

/BC/ = 5cm

/CA/ = 8cm

/EC/ = 24 cm

/DE/ = ?

Putting these values into

[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]

We get

[tex]\frac{5}{/DE/}=\frac{8}{24}[/tex]

∴ [tex]8 \times /DE/ = 5 \times 24[/tex]

Now, divide both sides by 8

[tex]\frac{8 \times /DE/}{8}= \frac{5 \times 24}{8}[/tex]

[tex]/DE/ = \frac{120}{8}[/tex]

/DE/ = 15cm

b) To work out the length of AB

Also, by similar triangles theorem, we can write that

[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]

From the diagram

/AB/ = ?

/CD/ = 18cm

/CA/ = 8cm

/EC/ = 24 cm

Putting these values into

[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]

We get

[tex]\frac{/AB/}{18}=\frac{8}{24}[/tex]

Now, multiply both sides by 18, that is

[tex]18 \times \frac{/AB/}{18}=\frac{8}{24} \times 18[/tex]

[tex]/AB/ = \frac{144}{24}[/tex]

/AB/ = 6cm

Hence,

a) The length of DE is 15cm and

b) The length of AB is 6cm

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