Which of these is the most reasonable estimate for how many more hours Mina spent playing the piano last week than Ling? O between 1 and 2 hours O between 2 and 2 hours O between 2 and 3 hours O between 3 and 3 hours​

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The category which has the greatest joint frequency is sugar cookies with a frequency of frosting and no frosting as 56 and 120 and a joint frequency of 176

Frosting No frosting Total

sugar cookies 56 120 176

Chocolate cookie 66 70 136

Red velvet 38 50 88

Total 160 240 400

Chocolate cookies with frosting = Total chocolate cookies - chocolate cookies with no frosting

= 136 - 70

= 66

Red velvet cookies with frosting = Total cookies with frosting - (Chocolate cookies with frosting + sugar cookies with frosting)

= 160 - (56 + 66)

= 160 - 122

= 38

Total red velvet cookies = Red velvet cookies with frosting + Red velvet cookies with no frosting

= 50 + 38

= 88

Total cookies with no frosting = Total cookies - Total cookies with frosting

= 400 - 160

= 240

Total sugar cookies with no frosting = Total cookies with no frosting - (chocolate cookies with no frosting + Red velvet cookies with no frosting)

= 240 - (70 + 50)

= 240 - 120

= 120

Total sugar cookies = Total sugar cookies with no frosting + Total sugar cookies with frosting

= 120 + 56

= 176

In conclusion, the highest joint frequency is sugar cookies.

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Answer:

Step-by-step explanation:

Yes, it is a function.

The reason for this is because it passes what is called the Vertical Line Test, notice how if you draw a completely straight line down, it will only make contact with the graph one time. It is hard to tell, but even though it looks like the graph stops at x=±3, the graph is actually approaching the values ever so slightly, therefore maintaining the conditions for the vertical line test.

The answer is A. Yes.

The solutions to the system of equations formed by the linear equation 9 · x + 9 · y - 79 = 0 and the quadratic equation x² + 5 · x - y - 4 = 0 are (x₁, y₁) = (5 / 3, 64 / 9) and (x₂, y₂) = (- 23 / 3, 148 / 9).

Herein we find a system of equations formed by a linear equation and a quadratic equation. This system must be resolved by means of algebra properties. First, write the system of equations:

9 · x + 9 · y - 79 = 0

x² + 5 · x - y - 4 = 0

Second, clear the variable y in the first equation:

9 · x + 9 · y - 79 = 0

9 · y = 79 - 9 · x

y = 79 / 9 - x

Third, substitute y on the second equation:

x² + 5 · x - (79 / 9 - x) - 4 = 0

x² + 6 · x - 115 / 9 = 0

Fourth, use the quadratic equation to find the solutions of x:

x₁ = 5 / 3, x₂ = - 23 / 3

Fifth, calculate the solutions of y:

y₁ = 79 / 9 - x₁

y₁ = 64 / 9

y₂ = 79 / 9 - x₂

y₂ = 148 / 9

The solutions are (x₁, y₁) = (5 / 3, 64 / 9) and (x₂, y₂) = (- 23 / 3, 148 / 9).

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Answer:

Step-by-step explanation:

77*5=385

Answer:

(40, 100) (x,y) Also, In the image below

Step-by-step explanation:

I used this website to do this. It is a very accurate website I used it all the time in algebra. So it should be right

I hope this helps!!!

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The new equation of graph will be-

For the stated conditions.

The equation of the graph is given as-

y = 5ˣ

Part a: f(x) is shifted 4 units downward,

y = 5ˣ - 4, is the new image location.

Part b:  f(x) is shifted 5 units left,

, y = 5ˣ⁻⁵, change in the y axis with negative sign.

Part c: f(x) is reflected about the y axis.

y = 5⁻ˣ, x coordinates will change, keeping the y axis same.

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The weight of the  adult harbor seal is 300 pounds.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

An adult harbor seal can eat food up to 6% of its body weight.

An adult harbor seal eats 18 pounds of food

We need to find  the adult harbor seal weigh

Let x be the weigh of food

6% of x= 18 pounds

Convert 6% to decimal

6/100=0.06

0.06x=18

Divide both sides by 0.06

x=300

Hence, the weight of the  adult harbor seal is 300 pounds.

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Answer: X = 3

Step-by-step explanation:

3x + 6 = 15

6x - 3 = 15

5 times 3 = 15

Answer:

-3x+-27

-3 multiplied by x=-3x

-3x9=-27

Answer:

351 pages

Step-by-step explanation:

In order to figure this out, we need to know what 114 plus 3 is.

114 + 3 = 117

Now that we have 117, we know that this is equal to 1/3 of the book.

In order to find out the total pages in this book, we need to multiply 117 by 3.

117 × 3 = 351

There are 351 pages in Johns book.

Answer:

C is point of the dilation with a scale factor to 2

D is the point of the dilation with a scale factor of 1/3

Step-by-step explanation:

C is twice as far from A as B.

D is 1/3 the distance from A when compared to B

The option that describes the graph of the proportional  relationship is the option;

A proportional relationship is one in which one variable in the relationship is a constant multiple of the other variable.

The table of values can be presented as follows;

x; 15 9 21

y; 5  3  7

The domain of the function is therefore;  15, 9, 21

The range of the function is therefore; 5, 3, 7

The coordinates of points on the graph of the  function is therefore;

(15, 5), (9, 3), (21, 7)

The relationship between the xi and y-values of the function is therefore;

5/15 = 3/9 = 7/21 = 1/3

The constant of proportionality in the relationship is 1/3

The relationship is therefore a proportional relationship.

The characteristics of the graph of a proportional relationship includes;

The graph passes through the origin, (0, 0).

The correct option that therefore describes the graph is the option;

A line passes through the point (0, 0), and continues through the point (15, 5)

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Answer:

Rs 45,000

Step-by-step explanation:

The profit is the difference between the selling price and the cost price of the car. In this case, the profit is 10% of the selling price, or 10% * Rs 50,000 = Rs 5,000.

Therefore, the cost price of the car is the selling price minus the profit, or Rs 50,000 - Rs 5,000 = Rs 45,000. This is the amount that the seller paid for the car, before adding the profit.

Answer:

Step-by-step explanation:

Answer:

distributive property

The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units

What is circumference ?

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

If a circle has a radius of 1,

the curvature is inversely proportional to this

So, the curvature= 1

A circle with a curvature of 1/3 :

radius=3

Thus, the circumference of the circle  =  2 *π * radius

                                                               =  2*π * 3

                                                               =  6π

                                                               ≈ 18.85 units

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Answer:

The answer is e

Step-by-step explanation:

Answer:

All beds come in different shapes and sizes but for example a queen sized mattress is 60” x 80”

Step-by-step explanation:

For the inequality 4x ≤ 28 the solution that makes the inequality true will be x≤7.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that the inequality is 4x ≤ 28.

Now that the equation has been simplified, we obtain both sides of the inequality equation, divide by 4, and we obtain

x ≤ 7

As a result, x must be less than or equal to 7.

The requirement for x is satisfied by any numbers that are less than or equal to 7.

Thus, for the inequality 4x ≤ 28 the solution that makes the inequality true will be x≤7.

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Answer:

a

Step-by-step explanation:

7

Answer:

17.3

Step-by-step explanation:

Answer:

-118 feet

Step-by-step explanation:

[tex]-342+224=-118[/tex]

Answer:

Step-by-step explanation:

Answer with step-by-step explanation:

Let the width of the rectangle be x.

Given that,

length ⇒ 4

width ⇒ x + 4 ( Because, the rectangle's width is 4 more than the length.)

Perimeter ⇒ 36cm

The formula to find the perimeter of rectangle is:

P = 2 ( l + w )

Now to find the value of x replace P, l & w with 36, 4 & (x + 4) with respectively.

P = 2 ( l + w )

36 = 2 ( 4 + x + 4 )

36 = 2 ( x + 8 )

Solve the brackets.

36 = 2x + 16

Substract 16 from both sides.

36 - 16 = 2x

20 = 2x

Divide both sides by 2.

10 = x

And now let us find the exact dimensions of the rectangle.

Length = 4 cm

Width = x + 4 = 10 + 4 = 14 cm

The equation that models the given situation is; 175x - 100x + 47750 = 50500 - 200x

The number of months it will take the populations to be equal is 10 months

Let us suppose after x months the population of both town's will be equal.

From the given directions, we have;

The population of the first town after x months is given by;

175x - 100x + 47750

The population of the second town after x months is  given by;

50500 - 200x

Now, In order to the population of the both town's to be equal, we have;

175x - 100x + 47750 = 50500 - 200x

275x = 50500 - 47750

x = 2750/275

x = 10

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The number of miles travelled by the family in one week is 700 miles

From the question, we have the following parameters that can be used in our computation:

Charges per week = $160

Charges per mile = $0.25

Total charges = $335

The above parameters mean that

Total charges = Charges per week + Charges per mile x Number of miles

Substitute the known values in the above equation, so, we have the following representation

160 + 0.25 * Number of miles = 335

This gives

0.25 * Number of miles = 175

Multiply both sides by 4

Number of miles = 700

Hence, the number of miles is 700

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Ansel has to pay an interest of $167.4 per months for the the life of the loan to the Hampton County Bank.

The formula for the monthly installments are-

M = P(r/12)(1 + r)∧12t / (1 + r)∧12t - 1

Put the values;

Principal P =$10,000.

Rate of interest r = 6.35%

Time t = 6 years 72 months

M =  10,000(0.0635/12)(1 + 0.0635)∧72 / (1 + 0.0635)∧72 - 1

M = $167.4

Thus, Ansel has to pay an interest of $167.4 per month for the the life of the loan to Hampton County Bank.

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The total distance traveled on the bicycle is 2500m

The total time the bike traveled is 19.4 minutes.

The average speed (in meters/min) of the bicyclist for this trip is 128.9 m/minutes.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed.

The total distance traveled on the bicycle will be:

= 800 + 500 + 1200

= 2500m

The total time the bike traveled will be:

= 1.4 + 16 + 2

= 19.4 minutes

Speed = Distance / Time

= 2500 / 19.4

= 128.9 meters per minute

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Answer: -1.5625

Step-by-step explanation:

5/6/-2/3 - 1.25/1/4 = -25/16 = -1 9/16 = -1.5625

16.82 % and 2.83% of the original drug dose remain in 36 hours and 72 hours respectively.

What is half-life?

Half-life is a characteristic unit for the exponential decay equation and is constant across the lifespan of an exponentially decaying quantity.

Given, the half-life of a drug(h) = 14 hours

The first condition, time duration (t) = 36 hours

Then, the half-life of the substance can be calculated by:

    [tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]

or, [tex]A = A_{0} * (1/2)^{\frac{36}{14} }\\A = A_{0} * (0.1682)\\[/tex]

16.82 % of the original drug dose remains in 36 hours

Hence, 16.82 % of the original drug dose remains in 36 hours

The second condition, time duration (t) = 72 hours

Then, the half-life of the substance can be calculated by:

 [tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]

[tex]A = A_{0} * (1/2)^{\frac{72}{14} }\\A = A_{0} * (0.0283)\\[/tex]

2.83 % of the original drug dose remains in 72 hours

Hence, 2.83 % of the original drug dose remains in 72 hours

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