#15, what is this answer ?

Answer:

18.85

Step-by-step explanation:

Answer:

Step-by-step explanation:

x

=

−

24

y

=

10

Explanation:

x

+

4

y

=

16

2

x

−

4

y

=

8

Subtract the bottom equation from the top one so the

+

4

y

and

−

4

y

cancel each other out.

−

x

=

24

x

=

−

24

x

+

4

y

=

16

−

24

+

4

y

=

16

4

y

=

40

y

=

10

Answer:

15,492 gumdrops

Step-by-step explanation:

If the company needs 3,873 bags of candy and each bag has 4 pieces of candy it them, then multiply the amount of bags they need and the amount in each bag and you will get how many they need in total.

Answer:

For d = -4 and e = -6, the values of the expressions are as follows:

de/-6 = 8

e square - d square/4 = 7

d(e+3)/2 = 9

e(d square - 9)/6 = -12

Step-by-step explanation:

We can simply substitute the given values of d and e into the expressions and evaluate them as follows:

de/-6 = (-4)(-6)/(-6) = 8

e square - d square/4 = (-6)^2 - (-4)^2/4 = 36 - 4/4 = 7

d(e+3)/2 = (-4)(-6+3)/2 = (-4)(-3)/2 = 6/2 = 3

e(d square - 9)/6 = (-6)((-4)^2 - 9)/6 = (-6)(16-9)/6 = -42/6 = -12

Therefore, the expressions evaluate to 8, 7, 3, and -12, respectively.

The most likely reason that the Larry's checkbook balance is different from the bank's balance is that D. Check 318 was not cashed or deposited.

Given that,

Larry's checkbook has a balance of $922.63.

Closing balance in the bank statement = $961.22

There is a difference.

The check numbers are given in the order as 317, 319 and 320.

The check number 318 is neither deposited nor cashed.

There is high likely to add the check number 318 to the Larry's checkbook.

Hence the correct option is that D. Check 318 was not cashed or deposited.

Learn more Checkbook Balance here :

https://brainly.com/question/29085827

#SPJ1

Answer:16.4

Step-by-step explanation:

because if the whole loaf of bread is 18 slices you take the total amount of carbs (295.2) and divide it by the total amount of bread (18 slices)

78

Step-by-step explanation:

23+28+16+11=78

people who was interested in the restaurant

The total volume of vinegar in the four (4) largest samples is 14 fluid ounces.

In Mathematics and Statistics, a dot plot is a type of line plot that graphically represents a data set above a number line, through the use of crosses or dots.

Based on the information provided about the volume of vinegar that was used by each of the 17 students in their volcano experiment, we can reasonably infer and logically deduce that the four (4) largest sample is 3 1/2 fluid ounces.

Therefore, the total volume of vinegar in the four (4) largest samples can be calculated as follows;

Total volume of vinegar = 3 1/2 × 4

Total volume of vinegar = 7/2 × 4

Total volume of vinegar = 14 fluid ounces.

Read more on dot plots here: brainly.com/question/30486649

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Step-by-step explanation:

-1.4 or - 14/10

-1.3 or -13/10

-1.2 or -12/10

-1.1 or -11/10

-1.0 or -1/1

Answer:

non proportional

Step-by-step explanation:

Using Linear inequalities, the solutions will be 2x + 3y ≤ 72, 4x + 3y ≤ 108

,x, y ≥ 0.

What are linear inequalities?

Linear inequalities are mathematical expressions in which one side is less than or greater than the other side. They involve variables and constants, and are often used to represent constraints or limitations in real-world situations. For example, an inequality might describe the maximum or minimum values that a certain variable can take on within a given context.

In algebraic notation, a linear inequality can be represented using the symbols "<" (less than), ">" (greater than), ≤" (less than or equal to), or "≥" (greater than or equal to). Linear inequalities can be graphed on a coordinate plane as well, which can help visualize the solutions to the inequality. The solutions to a linear inequality may be represented by a shaded area on the coordinate plane, depending on the specific inequality and its constraints.

Now,

Let x be the number of units of product X produced per week, and let y be the number of units of product Y produced per week.

The objective is to maximize the profit, which is given by:

Profit = 50x + 40y

The constraints are as follows:

Raw material constraint: 2x + 3y ≤ 72 (the total amount of raw material used in producing X and Y cannot exceed the available amount of 72 kg per week)

Labor hours constraint: 4x + 3y ≤ 108 (the total amount of labor used in producing X and Y cannot exceed the available amount of 108 hours per week)

Non-negativity constraint: x, y ≥ 0 (the number of units produced cannot be negative)

The problem can be formulated as follows:

Maximize: Profit = 50x + 40y

Subject to:

2x + 3y ≤ 72

4x + 3y ≤ 108

x, y ≥ 0

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

Answer:

Total cost= $100

Step-by-step explanation:

Giving the following information:

Each box has 10 brooms. Each broom is sold for $ 15

The charity earns $ 50 profit for each box of brooms.

First, we need to calculate the total revenue per box:

Total revenue per box= 10*15= $150

Now, the total cost:

Total cost= total revenue - total income

Total cost= 150 - 50

Total cost= $100

Main Answer: The integral ∬(curl F) · dS = 0.

Supporting Question and Answer:

What is Stokes' theorem and how is it used to evaluate line integrals over closed surfaces?

Stokes' theorem relates a line integral of a vector field around a closed curve to a surface integral of the curl of that vector field over the region bounded by the curve. It states that the line integral of a vector field around a closed curve C is equal to the surface integral of the curl of the vector field over the surface S bounded by C. Mathematically, it can be expressed as ∮C F · dr = ∬S (curl F) · dS. This theorem provides a convenient way to evaluate line integrals over closed surfaces by converting them into surface integrals using the curl of the vector field.

Body of the Solution:To evaluate the integral using Stokes' theorem, we first need to compute the curl of the vector field F = (-y, x, xyz).

The curl of F is given by: curl F = (d/dx, d/dy, d/dz) × (-y, x, xyz)

Let's calculate the individual components of the curl:

(d/dx) × (-y, x, xyz) = (0, 0, (d/dx)(-y) - (d/dy)(x))

= (0, 0, 0 - 1) = (0, 0, -1)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dz) × (-y, x, xyz)= ((d/dz)(x) - (d/dx)(xyz), (d/dz)(y) - (d/dy)(xyz), 0)

= (0 - yz, 0 - xz, 0)

= (-yz, -xz, 0)

Now, we have the curl of F as curl F = (0, 0, -1) + (0, 0, -2) + (-yz, -xz, 0)

= (-yz, -xz, -3)

Next, we need to find the surface S, which is the part of the sphere x^2 + y^2 + z^2 = 25 lying below the plane z = 4. To determine the orientation, we consider the outward-pointing normal vector.

The equation of the sphere can be written as z = sqrt(25 - x^2 - y^2). Since the plane is z = 4, we have sqrt(25 - x^2 - y^2) = 4. Solving for z, we get z = 4.

So, the surface S is given by S: x^2 + y^2 + z^2 = 25, z = 4.

To apply Stokes' theorem, we need to calculate the surface area vector dS. For a sphere, the surface area vector is simply the outward-pointing normal vector, which is (0, 0, 1) for our surface S.

Finally, we can evaluate the given integral using Stokes' theorem:

∬(curl F) · dS = ∭(div(curl F)) dV

Since the curl of F is (0, 0, -3), the divergence of curl F, div(curl F), is 0.

Thus, the integral ∬(curl F) · dS = ∭(div(curl F)) dV = 0.

Final Answer:Therefore, the value of the given integral is 0.

To learn more about Stokes' theorem and how is it used to evaluate line integrals over closed surfaces from the given link

https://brainly.com/question/28381095

#SPJ4

The integral ∬(curl F) · dS = 0.

What is Stokes' theorem and how is it used to evaluate line integrals over closed surfaces?

Stokes' theorem relates a line integral of a vector field around a closed curve to a surface integral of the curl of that vector field over the region bounded by the curve. It states that the line integral of a vector field around a closed curve C is equal to the surface integral of the curl of the vector field over the surface S bounded by C. Mathematically, it can be expressed as ∮C F · dr = ∬S (curl F) · dS. This theorem provides a convenient way to evaluate line integrals over closed surfaces by converting them into surface integrals using the curl of the vector field.

To evaluate the integral using Stokes' theorem, we first need to compute the curl of the vector field F = (-y, x, xyz).

The curl of F is given by: curl F = (d/dx, d/dy, d/dz) × (-y, x, xyz)

Let's calculate the individual components of the curl:

(d/dx) × (-y, x, xyz) = (0, 0, (d/dx)(-y) - (d/dy)(x))

= (0, 0, 0 - 1) = (0, 0, -1)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dy) × (-y, x, xyz) = (0, 0, (d/dy)(-y) - (d/dx)(x))

= (0, 0, -1 - 1) = (0, 0, -2)

(d/dz) × (-y, x, xyz)= ((d/dz)(x) - (d/dx)(xyz), (d/dz)(y) - (d/dy)(xyz), 0)

= (0 - yz, 0 - xz, 0)

= (-yz, -xz, 0)

Now, we have the curl of F as curl F = (0, 0, -1) + (0, 0, -2) + (-yz, -xz, 0)

= (-yz, -xz, -3)

Next, we need to find the surface S, which is the part of the sphere x^2 + y^2 + z^2 = 25 lying below the plane z = 4. To determine the orientation, we consider the outward-pointing normal vector.

The equation of the sphere can be written as z = sqrt(25 - x^2 - y^2). Since the plane is z = 4, we have sqrt(25 - x^2 - y^2) = 4. Solving for z, we get z = 4.

So, the surface S is given by S: x^2 + y^2 + z^2 = 25, z = 4.

To apply Stokes' theorem, we need to calculate the surface area vector dS. For a sphere, the surface area vector is simply the outward-pointing normal vector, which is (0, 0, 1) for our surface S.

Finally, we can evaluate the given integral using Stokes' theorem:

∬(curl F) · dS = ∭(div(curl F)) dV

Since the curl of F is (0, 0, -3), the divergence of curl F, div(curl F), is 0.

Thus, the integral ∬(curl F) · dS = ∭(div(curl F)) dV = 0.

Therefore, the value of the given integral is 0.

To learn more about Stokes' theorem

brainly.com/question/28381095

#SPJ4

The correct answer is option (B). The answer is  one is quantitative and two are categorical.

Given that,

A student quizzed his or her peers about their height, birth month, and relationship status. what proportion of these variables are categorical and what proportion are quantitative.

To find : How many variables are quantitative and categorical ?

A variable where the data indicate the amounts is referred to be a quantitative variable (e.g. height, age). Any variable where the data represent groupings is referred to as categoric variable.

Any trait that cant be quantified is referred to as categorical variable (also known as a qualitative variable). Nominal or ordinal categorical variables are also acceptable.

Therefore, option is the appropriate response (B). One is a quantitative response, and two is a categorical one.

To learn more about quantitative variables click here :

brainly.com/question/29617609

#SPJ4

To solve this problem, we'll use the concept of permutations.

First, we need to choose a woman for the position of president, then another woman for the position of vice president, and finally, a man for the treasurer position.

1. President: Since there are 20 women, we have 20 options for the president position.
2. Vice President: We're left with 19 women (since we already chose one for the president), so we have 19 options for the vice president position.
3. Treasurer: Since there are 17 men, we have 17 options for the treasurer position.

Now, multiply the number of options for each position together to find the total number of ways to form the committee:

20 (president) × 19 (vice president) × 17 (treasurer) = 6,460 ways.

So, there are 6,460 possible ways to choose three different members with women as president and vice president and a man as treasurer.

learn more about women here:brainly.com/question/928992

#SPJ11

Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.

The concentration of each solution is calculated as follows;

Concentration = mass/volume

Concentration =  1 /3 = 0.33 kg/L

Concentration = 0.908/3.318 = 0.27 kg/L

Thus, Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.

Learn more about concentration here: https://brainly.com/question/17206790

#SPJ1

Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

For A science experiment, Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water, for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water.

For Marcia, the concentration:

The ratio of mass to volume = 1/3 = 0.33 kg/L

For Bobby, the concentration:

The ratio of mass to volume = 2/7 pounds/pint = (2/2.205)/(7/2.11)

= 0.907/3.317 = 0.27 kg/L

Thus, Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

The distance between the two points is 34 units

Here, we want to find the distance between the two given points

To do this, we are going to use the distance formula

Mathematically, we have this as;

Answer:

36

Step-by-step explanation:

9x4=36

answer

put formula:

radians = degrees x pi : 180

pi approximately equal to = 3.14159

radians = 300 x pi : 180

= 5 x pi : 3

300 degrees is equal to 5 x pi : 3 radians

Answer:

5.23599

Step-by-step explanation:

300° × π/180 = 5.23599

If AC = 13 and  BC = 10 then the radius is  8.30.

Given that,

For the given triangle,

AC = 13

BC = 10

Here we can see that the perpendicular of triangle is the radius circle.

Then,

We have to calculate AB

The given triangle ABC is right angled triangle,

We know that the Pythagoras theorem for a right angled triangle:

Therefore,

⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (AC)²= (AB)² + (BC)²

⇒    13² = (AB)² + 10²

⇒ (AB)² = 169 - 100

⇒ (AB)² =  69

⇒    AB = 8.30

Hence the radius of circle  is 8.30.

To learn more about circle visit:

https://brainly.com/question/29288238

#SPJ1

The complete question is attached below:

Answer:

290

Step-by-step explanation:

Let the number of time the standard version was downloaded be "x", then the number of times the high-quality version was downloaded will be "4x".

The total MB downloaded for standard will be 2.1x, and the total MB downloaded for high-quality will be (4x*4.1)=16.4x.

So we have

\(2.1x+16.4x=5365\\18.5x=5365\\x=290\)

So there were 290 downloads of the standard version.

Answer:

vertically opposite angles

◗ 　They are vertically opposite angles.

9514 1404 393

Answer:

  72.5° ≈ 73°

Step-by-step explanation:

The ladder length is the hypotenuse of the right triangle that has the distance from the building as its base and the height up the building as the height of the triangle. The given dimensions are those of the side adjacent to the angle and the hypotenuse.

The appropriate trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(angle) = 6/20

The inverse cosine function (arccos) is used to find the angle from its cosine.

  angle = arccos(6/20) ≈ 72.54°

The angle is 72.5° rounded to tenths, or 73° rounded to degrees.

Sydney Ltd needs to sell 20,700 units of the product to earn a target profit of $150,000.

To calculate the number of units needed to be sold to achieve the target profit, we can use the formula: (Fixed costs + Target profit) / (Sales price - Variable costs).

Plugging in the given values, we have ($16,500 + $150,000) / ($12 - $4) = $166,500 / $8 = 20,812.5 units.

Since the number of units must be a whole number, we round down to the nearest whole number, which is 20,700 units.

Therefore, Sydney Ltd needs to sell 20,700 units of the product to earn a target profit of $150,000.

Learn more about Target profit here:

https://brainly.com/question/31465645

#SPJ11

Answer: 15

Step-by-step explanations inches in a foot

180 inches/12 inches = 15 feet

Answer:

It is 15 feet.

Step-by-step explanation:

12 inches=1 feet.

180/12=15

What is standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

What does a standard deviation of 1 mean?

What one standard deviation (SD) means. on a normal or bell-shaped distribution of the data. The region of a bell curve starting at position 13 on the y axis is roughly filled by 1 SD = 1 Standard deviation = 68% of the scores or data values.

Solution

Given that,

mean   = 6.2

standard deviation   = 1.2

The z - distribution of the 6 % is,

P( Z < z ) =  6 %

P( Z < z ) = 0.006

P( Z <  -1.866) = 0.006

z = -1.866

The z - distribution of the 6 % is,

P( Z > z ) =  6 %

1 - P( Z < z ) = 0.006

P( Z <  ) = 1 - 0.006

P( Z < z ) = 0.994

P( Z < 1.866 ) = 0.994

z = 1.866

Using z - score formula,

X = z * σ  +  µ

   = -1.866 * 1.2 + 6.2  

   = 3.9608

The minimum head diameter that will fit the clientele is,

min = 3.9608

and

Using z - score formula,

X = z * σ  +  µ

   = 1.866 * 1.2 + 6.2  

   = 8.4392

The maximum head diameter that will fit the clientele is,

max = 8.4392

Learn more about the standard deviation here:

https://brainly.com/question/475676#:~:text=This%20is%20Expert%20Verified%20Answer&text=Standard%20deviation%20is%3A%20It%20is,squared%20differences%20from%20the%20Mean.

#SPJ4

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176