Fay has a lemonade stand.
She spends £50 on ingredients.
She sells each glass of lemonade for £1.40.
If she sells 40 glasses of lemonade, what is her total profit?

Answer:

definitly not geometric

Step-by-step explanation:

so that means, well your decision its either nither or arithmetic because arithmetic does have fractions but in it it also has ( ) in it so.... your choice 2 or 3.

The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

We are given;

z = 3(cos(15°) + i sin(15°))

w = 5(cos(90°) + i sin(90°))

Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.

Thus, option A is the correct answer.

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Answer:

w=59 y=59 z=53 x=121 v=121

Step-by-step explanation:

inside a triangle the angles should add up to 180 so you can easily do 180-31 -90 to find w then with that you can find the rest and also w is equal to y cause theyre vertical angles

Answer:

w=59, x=121, v=121, y=59, and z=53

Step-by-step explanation:

One thing that all triangles have in common is that the sum of all of their angles is equal to 180 degrees.  This will help us solve for the variables.  

The triangle seen on the left side of the diagram is a right triangle, meaning that one of the angles is equal to 90 degrees.  The other angle is labeled as being 31 degrees, so we can add 90 and 31 together to get 121 degrees, which we can now subtract from 180 to get the angle w, which is 59 (180-121=59).

Knowing that w is equal to 59 degrees, we can solve for x because it is clear that this is a straight line, and these are equal to 180 degrees as well, so 180-59=x which is 121.

x and v are equal to each other as is w and y, so all that's left to solve for is z.

Triangles are equal to 180 degrees, so we subtract the sum of 68 and y (59) to get the measurement of z. 68+59=127.  180-127=53.  

I hope that this helps :)

Answer:

f^−1(x)=x7

Step-by-step explanation:

To find the inverse , inerchange the variable and slove for Y

Answer:

CIAE

Step-by-step explanation:

Answer:

12.8

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

Add 8+7.5+7+6.5+6= 35

The record days of sleep is 5 days so divide 35 by 5 and you get 7 hours

Answer:

7

Step-by-step explanation:

Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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Answer:

35

Step-by-step explanation:

10-20=-10

-10+45=+ 35

Answer:35

Step-by-step explanation:10-20=-10+45=35

Answer:

Step-by-step explanation:

91 − 60 i

Answer:

109

Step-by-step explanation:

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

1/3

Step-by-step explanation:

the formula of common ratio is given as

\(r = \frac{a2}{a1} \)

a1= 27 ,a2=9

r= 9/27

r= 1/3

The number of Montreal-to-Miami ships the ship leaving Miami today will meet is 0. Answer: 0.

Given that every day, a ship leaves Miami for Montreal and another leaves Montreal for Miami.

Each trip lasts six days for a total of exactly 144 hours.

We need to find how many Montreal-to-Miami ships will the ship leaving Miami today meet from the time it departs till the time it arrives in Montreal.

Step 1: Let's calculate the time taken by the ship leaving Miami to reach Montreal:

Time taken by the ship to reach Montreal = 6 days × 24 hours/day = 144 hours

Step 2: Now, let's calculate the time taken by the ship leaving Montreal to reach Miami:

Time taken by the ship to reach Miami = 6 days × 24 hours/day = 144 hours

Step 3: Let's assume that the ship leaving Miami departs at 12:00 noon.

Then it would take exactly 6 days, or 144 hours, to reach Montreal.

So it will arrive in Montreal at 12:00 noon after six days.

We are interested in knowing how many Montreal-to-Miami ships the ship leaving Miami today will meet from the time it departs until it arrives in Montreal.

As the trip lasts 6 days, the ship leaving Montreal today will reach Miami after the ship from Miami arrives in Montreal, and there will be no further ships from Montreal to Miami until the ship from Miami departs from Montreal again.

Therefore, the ship leaving Miami today will not meet any Montreal-to-Miami ships from the time it departs until it arrives in Montreal.

Hence, the number of Montreal-to-Miami ships the ship leaving Miami today will meet is 0. Answer: 0.

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Answer:

The answer for (a) is

1, 1     2, 2    3, 3    4, 4    5, 5    6, 6

1, 2    2, 3    3, 4    4, 5    5, 6

1, 3    2, 4    3, 5    4, 6

1, 4    2, 5    3, 6

1, 5    2, 6

1, 6    

The answer for (b) is 6/21 or 0.285714286

The answer for (c) is Less than. {its in the explanation}

===================================================================

Explanation:

(a)- Its not really hard, it just takes a bit of time.

(b)- The total number of possibilities is 21. Favorable outcomes would have a 3 as one of the dice, and only 6 of the 21 outcomes has a 3. (they are in bold)

There are only 21 possible outcomes because the prompt says "Make a list of all the different possible outcomes." For example: I have 3, 4 as an outcome, but not 4, 3 because that would be the same outcome.

(c)- Less than, because the possibility of getting an outcome with at least one 3 is only 0.285714286. If you multiply that by 100, thats only 28.5714286, or 29, still less than 34.

Answer:

1.) 88

2.) 196

3.) 63

4.) 90

5.) 367.142857143

6.) 695. 2 repeating

7.) 109.285714286

8.) 63.5593220339

Step-by-step explanation:

Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

<95141404393>

Answer:

Volume of a cylinder = 225.80 in³ (Approx)

Volume of cone = 75.29 in³ (Approx)

Step-by-step explanation:

Given:

Volume of sphere = 150 in³

Find:

Volume of a cylinder and a cone

Computation:

Volume of sphere = [4/3]πr³

150 = [4/3][22/7]r³

r = 3.3 in (Approx)

Height = 2(3.3) = 6.6

Volume of a cylinder = πr²h

Volume of a cylinder = [22/7]3.3²(6.6)

Volume of a cylinder = 225.80 in³ (Approx)

Volume of cone = [1/3]πr²h

Volume of cone = 75.29 in³ (Approx)

Answer:

19 oz of cranberry juice

Step-by-step explanation:

32oz of water * (3 parts juice/5 parts water) = 19.2 oz of cranberry juice

Hope this helps!

Have a nice day <3

a. The negative slope shows that water is leaving the tank.

b. After 3 minutes, there are 70 gallons of water.

c. x-intercept = 10, meaning, it takes 10 minutes for the tank to empty.

d. y-intercept = 100, meaning, the initial water in the tank is 100-gallons.

e. Slope = 10

f. The water drains at 10 gallons per minute.

The slope (m) of an equation is the quotient of the rise of the line over the run of the line, which is change in y/change in x.

The x-intercepts of a line is the value of the variable x, when y = 0 (on a graph, the line intercepts the x-axis at this point), while the y-intercept is the value of y when x = 0 (on a graph, the line intercepts the y-axis at this point).

a. The slope is decreasing/declining, this means water is leaving the tank.

b. After 3 minutes, the water in the tank that remain is 70 gallons.

c. The x-intercept is 10, which means that after 10 minutes, all the water in the tank is emptied.

d. The y-intercept is 100, which means the amount of water in the tank initially is 100-gallons.

e. Slope = rise/run = 10/1 = 10

f. The meaning of the slope is that the water is drained at 10 gallons per minute.

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Answer:

14 weeks

Step-by-step explanation:

First, write as an equation with x the number of weeks Ayan and Gemma's money:

-> Ayan's money: 48+10x because every week he wins 10 more dollars

-> Gemma's money 300-8x

Finally just solve the equation for x where ayan's money = gemma's money so :

48+10x=300-8x

add 8x on both side: 48+18x=300

substract 48 on both side to isolate x : 18x =252

devide by 18 on both side : x=14

Answer:

More than 1 (2.5 is the answer)

Step-by-step explanation:

more than 1.

Step-by-step explanation:

5/8 ÷ 2/8 is 40/16. when simplified, you get 5/2. change it to decimals and you get your answer

Answer:

look at the photo

...................................

Answer:

1). 15 + 2g - g²

2). y(y² + 4y + 3)

3). x² - 9

4). w² + 8w + 13

5). 2y²+5y-14

Step-by-step explanation:

1) (3 + g)(5 - g)

= 5(3 + g) - g(3 + g)

= 15 + 5g - 3g - g²

= 15 + 2g - g²

2) (y² + y)(y + 3)

= y(y² + y) + 3(y² + y)

= y³ + y² + 3y² + 3y

= y(y² + 4y + 3)

3) (x - 3)(x + 3)

= x(x - 3) + 3(x - 3)

= x² - 3x + 3x - 9

= x² - 9

4) (w+3)(w+4)+(w+2)(w+7)

= w(w+3)+4(w+3) + w(w+7)+2(w+7)

= w² + 3w + 4w + 12 + w² + 7w + 2w + 14

= 2w² + 16w + 26

= w² + 8w + 13

5) (3y-5)(y+4)-(y-3)(y-5)

= 3y(y+4)-5(y+4) - y(y-3)-5(y-3)

= 3y²+12y-5y-29-y²+3y-5y+15

= 2y²+5y-14

Answer:

Step-by-step explanation:

Choice

Answer:

Can you award me brainest

The P-value = 0.000332 < 0.05, we reject H0 and conclude that there is a linear relationship between the index of exposure and cancer mortality. The correct option is D.

Hypothesis testing is a statistical tool that enables scientists to draw conclusions about populations using sample data. To put it another way, it allows you to evaluate the validity of a claim.

Hypothesis testing is the method by which we determine whether the findings of an investigation or experiment are likely to have occurred by chance.

It involves creating two opposing hypotheses (H0 and H1) and gathering evidence (in the form of sample data) to determine which hypothesis is more probable.

Since the P-value = 0.000332 < 0.05, we reject H0 and conclude that there is a linear relationship between the index of exposure and cancer mortality.

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(a) The expression for Y(s) with non-zero initial conditions is given by:

Y(s) = 32/((s + 12)(s+32)) + y_0(s + 12)(s+32) Where, y_0 = y(t = 0)

(b) With zero initial conditions, the transfer function T(s) = Y(s)/U(s) is given by: T(s) = 32/((s + 12)(s+32))

(c) The impulse response of the system is given by the inverse Laplace transform of the transfer function: h(t) = 32(e^(-12t)-e^(-32t))

(d) The Routh table can be used to determine the BIBO stability of the system. If all of the entries in the Routh table are positive, then the system is BIBO stable. The impulse response of the system is related to its BIBO stability in that a BIBO stable system must have an impulse response that decays to zero as time increases. If the impulse response does not decay to zero, then the system is not BIBO stable.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Congruent triangles have equal corresponding sides and angles

Angles RAT and QAS are congruent

Given that:

AR= AQ and RT=QS

Subtract QS from both sides of the second equation

RT-ST=QS-ST

The above equation means that:

RS = QT or

RS = TQ

In triangle ARQ,

Angles R and Q are congruent because the base angles of an isosceles triangle are congruent.

So, we have:

Angle R = Angle Q

Also,

Angle ARS is congruent to ATQ.

The above means that:

Side lengths AT and AS are congruent

So, we have:

AT=AS ---- The base angles of an isosceles triangle ATS

Because of the above highlights,

Angle 1 = Angle 3

Add angle 2 to both sides

Angle 1 + Angle 2 = Angle 3 + Angle 2

So, we have:

Angle RAT = Angle QAS

Hence, angles RAT and QAS are congruent

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