At Sunday’s Best Ice Cream in New Orleans, the price of Ice Cream was $4.00 for a large sundae. Due to the holidays, they are decreasing their price by 12%. What is the new price for the large sundae?

Step-by-step explanation:

Answer:

Solution :-here,

f (x)= 13

or, 6x-5= 13

or, 6x =13+5

or, 6x = 18

or, x = 18/6

or, x = 3

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Answer:

Step-by-step explanation:

Answer:

? = 63

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 6/13

Taking the inverse cos of each side

cos^-1 (cos ?) = cos^-1 (6/13)

? = 62.51357

To the nearest degree

? = 63

Answer:

0.714

Step-by-step explanation:

Argument

The total number of cards = 5 yellow. 3 blue and 7 red = 15 cards in all.

The probability of choosing a yellow card first is 5/15 = 1/3.

We are now down to 14 cards

There are 3 blue cards.

P(yellow then blue) = 1/3 * 3/14

P(yellow then blue) = 1/14 = 0.0714

Answer:

8.0688

Step-by-step explanation:

12(0.82)^2

.82×.82= .6724

.6724×12= 8.0688

PEMDAS

Answer:

8.06

Step-by-step explanation:

Therefore, the rate of the canoe in still water is 36 miles per hour.

Let's assume the rate of the canoe in still water is represented by r (miles per hour), and the rate of the current is represented by c (miles per hour).

When paddling with the current, the effective speed of the canoe is increased by the rate of the current, so the equation for the distance can be written as:

(r + c) * 4 = 64

When paddling against the current, the effective speed of the canoe is decreased by the rate of the current, so the equation for the distance can be written as:

(r - c) * 6 = (3/4) * 64

Simplifying the second equation:

6(r - c) = (3/4) * 64

6r - 6c = 48

Now we have a system of two equations:

(r + c) * 4 = 64

6r - 6c = 48

We can solve this system of equations to find the values of r and c.

Multiplying equation 1) by 6, we get:

6(r + c) = 6 * 64

6r + 6c = 384

Adding this equation to equation 2), the variable c will be eliminated:

6r + 6c + 6r - 6c = 384 + 48

12r = 432

Dividing both sides by 12, we find:

r = 36

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A line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

To illustrate why a line in ℝ² that does not pass through the origin is not closed under vector addition, we can consider the following example:

Let's take a line in ℝ² given by the equation y = x + 1, which does not pass through the origin (0, 0).

Now, suppose we have two vectors on this line: A = (1, 2) and B = (2, 3).

If we add these two vectors, A + B, we get (1, 2) + (2, 3) = (3, 5).

Now, let's examine the resulting vector (3, 5). Since the line y = x + 1 does not pass through the origin, (0, 0) is not on this line. However, (3, 5) lies on the line y = x + 1.

Therefore, the resulting vector (3, 5) is not on the original line y = x + 1.

This demonstrates that the line is not closed under vector addition because the addition of vectors from the line can result in a vector that is not on the line.

In conclusion, a line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

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Answer:

Subtract 9 from each side of the equation.

m = – 11

Step-by-step explanation:

m + 9 = – 2

To solve the above equation, we simply subtract 9 from each side of the equation.

This is illustrated below:

m + 9 = – 2

Subtract 9 from each side of the equation

m + 9 – 9 = – 2 – 9

m + 0 = – 11

m = – 11

Therefore, the value of m is – 11

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Answer:

38.2 ft

Step-by-step explanation:

The ladder, the ground, and the wall make a right triangle.

The wall is the opposite leg to the 63° angle.

The ladder is the hypotenuse.

Let x = length of the hypotenuse.

sin Θ = opp/hyp

sin 63° = 34 ft / x

x × sin 63° = 34 ft

x = 34 ft / sin 63°

x = 38.2 ft

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Answer:

1/5

Step-by-step explanation:

the answer would be 1/5 because on the chart it showed:

5-2

10-3

15-4

20-5

which changed by 1/5

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:

jims

Step-by-step explanation:

Answer:

jim

Step-by-step explanation:

Step-by-step explanation:

Starting with the equation x^2 + y^2 = 25, we can implicitly differentiate with respect to t using the chain rule:

2x dx/dt + 2y dy/dt = 0

Now we can plug in the given values for dy/dt, x, and y:

2(3) dx/dt + 2(4) (3) = 0

Simplifying:

6 dx/dt + 24 = 0

Subtracting 24 from both sides:

6 dx/dt = -24

Dividing by 6:

dx/dt = -4

Therefore, dx/dt = -4 when dy/dt = 3, x = 3, and y = 4.

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The value of the derivative, dx/dt is -4, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4.

1. Differentiate both sides of the equation x^2 + y^2 = 25 with respect to t. Use the chain rule for differentiating y^2 with respect to t.
  d(x^2)/dt + d(y^2)/dt = d(25)/dt

2. Apply the chain rule,
  2x(dx/dt) + 2y(dy/dt) = 0

3. Plug in the given values for x, y, and dy/dt,
  2(3)(dx/dt) + 2(4)(3) = 0

4. Simplifying the equation,
  6(dx/dt) + 24 = 0

5. Solve for dx/dt,
  6(dx/dt) = -24
  dx/dt = -24/6
  dx/dt = -4

So, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4, the value of the derivative, dx/dt is -4.

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Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3)    ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

\(P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)\)

The answer is 10/27

please see the attached picture for full solution

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Good luck on your assignment

Answer:

10/27  

Step-by-step explanation:

5/6 x 4/9=5/3 x 2/9=10/27  

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

Answer:

As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%

Answer:

= 1/5

.2

20%

Step-by-step explanation:

In the bag there are 5 pennies, 4 nickels , 5 dimes, 2 quarters

We add 1 penny 2 dimes and 1 quarter

Now in the bag

6 pennies, 4 nickels, 7 dimes, 3 quarters

for a total of 20 coins

P ( nickel) = number of nickels / total

                 = 4/20 = 1/5

                  .2

                   20%

She is more likely to draw a nickel before the 1 penny 2 dimes and 1 quarter because there are fewer coins in the bag that are not nickels

Answer:

4.32

Step-by-step explanation:

Call the unknown number = x

We have: 1000x = 4320

=> x = \(\frac{4320}{1000}\) = 4.32

=> The number we need to find is 4.32

Answer:

4.32

Step-by-step explanation:

The distance from Jim's home to the gym is 12 km.

Speed is defined as the rate at which the position of object is changed.

Speed = Distance / Time

Here, there are two different speeds given for the same distance.

Average speed is the total distance travelled by the total time taken.

If distance is a constant,

Average speed = 2xy / (x + y), where x and y are two different speeds for the same distance.

Average speed = (2 × 15 × 10) / (15 + 10)

                          = 12 km/hr

So, Total distance travelled = Average speed × total time taken

                                              = 12 × 2

                                              = 24

Distance = 24 / 2 = 12

Hence, the distance from Jim's home to the gym is 12 km when average speed is taken.

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The probability of none of the graduates having a summer job is 0.262, which is calculated using the binomial probability distribution.

The probability of none of the graduates having a summer job can be calculated by using the formula of a binomial probability distribution. The formula is P(x) = nCx * p^x * q^(n-x). In this case, n represents the number of graduates, x represents the number of successes, p is the probability of success, and q is the probability of failure.

For this example, n = 6, x = 0, p = 0.2 (the probability of a graduate having a summer job is 0.2), q = 0.8 (the probability of a graduate not having a summer job is 0.8).

Plugging these values into the formula, we get P(x) = 6C0 * 0.2^0 * 0.8^6 = 0.262. Therefore, the probability of none of the graduates having a summer job is 0.262.

Therefore, The probability of none of the graduates having a summer job is 0.262, which is calculated using the binomial probability distribution. This is calculated by using the formula P(x) = nCx * p^x * q^(n-x), where n = 6, x = 0, p = 0.2 and q = 0.8.

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If a group of 6 graduates is selected at random, what is the probability that none of the graduates have a summer job assuming a binomial distribution?

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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The base of the ladder must be placed 3 ft from the base of the building. The total length of the ladder is 15 ft.

1. The ladder must reach 12 ft up the wall, so we need to calculate the distance from the base of the building to 12 ft.

2. The total length of the ladder is 15 ft.

3. Subtract the length of the ladder (15 ft) fromthe desired height (12 ft) to get the distance from the base of the building.

4. 12 ft - 15 ft = -3 ft

5. Since the distance cannot be negative, the base of the ladder must be placed 3 ft away from the base of the building.

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Answer:

A.  Correct

B.  Correct

C.  Not correct

D.  Correct

E.  Not correct

Step-by-step explanation:

We are told that Michael's race numbers are:

5.25 miles

45.75 minutes

Divide the miles by the minutes to get mIchael's running rate:

0.114754098 mi/min

This result matches option B. " Michael's average pace was about 0.11 miles per minute."

======

Check all the answer options:

A. Michael's unit rate of minutes per mile was about 8.7.  

  Take 0.11475409 mi/min and invert it to find min/mile:

      1/(0.11475409 mi/min) = 8.71 min/mile

This is a correct statement.

B. Michael's average pace was about 0.11 miles per minute.

From above:  This is a correct statement.

C. Michael's unit rate of minutes per mile was about 6.9.

Take the given numbers:   (45.75 minutes)/(5.25 miles) = 8.71 min/mile

This is not a correct statement.

D. Michael's average speed during the race was about 6.9 miles per hour.  

Take the calculated rate of 0.11475409 mi/min and covert it to miles/hour:

  Use the conversion factor (60 min/1 hr)

   (0.11475409 mi/min)*((60 min/1 hr)) = 6.89 miles/hr

This is a correct statement.

E.  Michael ran about 8.7 miles in 1 minute.

We know from above that he runs at 6.89 miles per hour.  Running 8.7 miles in 1 minute  would mean he is running at (8.7)*(60) = 413 miles/hour.    

Perhaps he had some good energy bars, but the data do not support this conclusion.

This is not a correct statement.

Answer:

-11

Step-by-step explanation:

9+35=44. 34+21=55. - each other=-11

Answer:

(x-6)/(x-2)

Step-by-step explanation:

(x^2-4x-12)=(x^2+2x-6x-12)

X(X+2)-6(X+2)

(x-6)(X+2)

(x^2-4)

= (x-2)(x+2)

(x-6)(X+2)/(x-2)(X+2)

(x-6)/(x-2)

Answer:5*(x-2)^2 + 5

Step-by-step explanation:that would be the answer 5x^2-20x+25

Answer:

4y=x

Step-by-step explanation: