Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade? The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function p(g) = .

Answer:

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.

Let us expand all brackets:

[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]

The exponent of b is 14.

Answer:

Step-by-step explanation:

A linear function has been given as,

y = [tex]\frac{1}{3}x+5[/tex]

Comparing it with the slope intercept equation,

y = mx + b

b = y-intercept = 5

From the graph,

y-intercept = (-2)

From the given table,

For x = 0, f(x) = 3

Therefore, y-intercept = 3

A line passes through two points (-3, -2) and (3, 0),

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                            = [tex]\frac{0+2}{3+3}[/tex]

                            = [tex]\frac{1}{3}[/tex]

Equation of a line passing through a point (x', y') and slope = m

y - y' = m(x - x')

If the point is (3, 0) and slope = [tex]\frac{1}{3}[/tex]

y - 0 = [tex]\frac{1}{3}(x-3)[/tex]

y = [tex]\frac{1}{3}x-1[/tex]

y-intercept of this line = (-1)

Therefore, decreasing order of the slopes will be,

[tex]5>3>\frac{1}{3}>(-2)[/tex]

Order of the functions with slopes from maximum to lease will be,

1). [tex]y=\frac{1}{3}x+5[/tex]

2). Function represented by the table.

3). Line passing through (-3, -2) and (3, 0)

4). Function shown in the graph

Answer:

(f+g) (x)=4x^2+3x/2-7

Step-by-step explanation:

f(x)= x/2-3 and g(x)=4x^2+x-4

(f+g) (x)=?

(f+g) (x)=f(x)+g(x)

(f+g) (x)=x/2-3+4x^2+x-4

combining like terms

(f+g) (x)=4x^2+x/2+x-3-4

(f+g) (x)=4x^2+3x/2-7

hope it helps. Brainliest please

9514 1404 393

Answer:

  J$48,950

Step-by-step explanation:

The entire purchase price is ...

  24×J$2000 +J$950 = J$48,950

Answer:

15

Step-by-step explanation:

3a+9=54

-9        -9

3a=45

:3     :3

a=15

The answer to your question is below

Step-by-step explanation:

1.- ∛27²  = ∛729  = ∛ 3⁶ = 3⁶/³ = 3² = 9

Find the prime factors

   729    3

   243    3

     81     3

     27     3

        9     3

        3     3

         1

2.- 64²/³ = ∛64² = ∛4096 = ∛ 2¹² = 2¹²/³ = 2⁴ = 16

3.- (∛3375)² = ∛3⁶5⁶  = 3⁶/³ 5⁶/³ = 3² 5² = 9 x 25 = 225

4.- (2744)² ¹/³ = ∛2744² = ∛7529536 = ∛2⁶7⁶ = 2⁶/³ 7⁶/³ = 2² 7² = 4 x 49 = 196

5.- 125²/³ = ∛ 15625 = 5⁶/³ = 5² = 25

6.- ∛4096² = ∛16777216 = 2²⁴/³ = 2⁸ = 256

Answer: (b) (g o g)(5)

Step-by-step explanation:

[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]

Answer:

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Step-by-step explanation:

y=acosx+b

find a and b

y=b=4 when x=90 degrees because cos 90=0

find a : when x=60 degrees, y=7

7=acos60°+4

7=a(1/2)+4

a/2=3

a=6

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Answer:

3x+33y= -420

x+140= -11y

Step-by-step explanation:

x= -11y-140

y +7x=23

7x=23-y

x=23/7 - y/7

y+11x=140

11x=140-y

x=140/11 - y/11

2x-22y=-140

2x=-140+22y

x=-140/2+22y/2

x=-70+11y

3x+33y=-420

3x=-420-33y

x=-420/3 - 33y/3

=-140-11y

x=-140-11y

x+140=-11y

x=-11y-140

Answer:

The bottom 2

3x + 33y = –420

x + 140 = –11y

Step-by-step explanation:

Edge 2020

Answer:

I believe it is 104 degrees.

Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.

Answer:

104 deg

Step-by-step explanation:

Total number of medals: 31 + 20 + 6 +6 + 6 = 69

Number of Australian medals: 20

Fraction of total medals won by Australia: 20/69

A circle has a total of 360 deg.

Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.

20/69 * 360 = 104.3

Answer: 104 deg

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23  (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

Answer: 9.2 years

Step-by-step explanation:

Given the following :

Mean(m) = 11.7 years

Standard deviation (s) = 1.2 years

Recall the z-score formula :

Z = (x - m) / s

We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.

2% = 0.02

0.02 falls most closely to 0.02018whuch is under - 2.05.

Using the z-score value in the formula above :

-2.05 = (x - 11.7) / 1.2

Cross multiply

(-2.05 × 1.2) = x - 11.7

-2.46 = x - 11.7

x = - 2.46 + 11.7

x = 9.24 years

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]

Answer:

-5y+3x

Step-by-step explanation:

-8y-(x-4x) + 3y

= -5y-(x-4x)

= -5y+3x

Answer: -5y+3x

Step-by-step explanation:

Answer:

£92 , £184 and £230

Step-by-step explanation:

Total = £506

Ratio = 2:4:5

Total Parts: 2+4+5 = 11

Part 1:

=> [tex]\frac{2}{11}* 506[/tex]

=> 2 * 46

=> £92

Part 2:

=> [tex]\frac{4}{11}* 506[/tex]

=> 4 * 46

=> £184

Part 3:

=> [tex]\frac{5}{11}* 506[/tex]

=> 5 * 46

=> £230

Answer:

Step-by-step explanation:

£506

2+4+5=11

506/11=46

2x46=£92

4x46=£184

5x46=£230

92+184+230=£506

Answer:

£12.25

Step-by-step explanation:

Using unit rate:

[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]

£12.25 should be the correct answer.

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

Answer:

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

[tex]c^2 = a^2+b^2[/tex]

[tex]a^2 = c^2-b^2[/tex]

base ² = 4-1

base² = 3

Taking square root on both sides

Base = [tex]\sqrt{3}[/tex]

Now

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Answer:

Step-by-step explanation:

a. Andy = £9500

Bevan = £25000

Cheryl = £11250

Deva = £72000

Elliott = £12750

Frankie = £29500

Grace = £11000

Total Income = £171,000

To get the mean Income, we divide the total income gotten by 6 which is the number of people. This will be:

= £171,000/7

= £24428.57

b. If Deva's income is excluded, there'll be 6 people left.

Andy = £9500

Bevan = £25000

Cheryl = £11250

Elliott = £12750

Frankie = £29500

Grace = £11000

Total income = £99000

Mean income = £99,000/6

= £16,500

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

Answer:

(a) Jerry expect to reach his goal by week 43rd.

(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Step-by-step explanation:

It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.

the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.

(a)

Compute the number of week it takes Jerry to reach his goal as follows:

The nth term of an AP is:

[tex]t_{n}=a+(n-1)d[/tex]

Compute the value of n as follows:

[tex]t_{n}=a+(n-1)d[/tex]

[tex]100=17+(n-1)\cdot 2\\\\100-17=(n-1)\cdot 2\\\\83=2n-2\\\\2n=85\\\\n=42.5\\\\n\approx 43[/tex]

Thus, Jerry expect to reach his goal by week 43rd.

(b)

Compute the total number of push-ups he will have done when he reaches his goal as follows:

The sum of n terms of an AP is:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

Compute the sum as follows:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

    [tex]=\frac{43}{2}\cdot [2\cdot 17+(43-1)\cdot 2]\\\\=43\cdot [17+42]\\\\=2537[/tex]

Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.