On Saturday, 8 children made a sandcastle in 5 hours. On Sunday, two more children joined the group. How long it will take the children to build a new sandcastle on Sunday?

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

x=4, -4

Step-by-step explanation:

hope this helps!

Answer:

25% or 30L

Step-by-step explanation:

100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid

Answer:

\(6 + {x}^{2} \)

That is the answer.

Hope this helps ya.

Answer:

n^2 + 6

Step-by-step explanation:

Let the number be n.  

Then the sentence translates into n^2 + 6.

Answer:

c

Step-by-step explanation:

1.2+2.6=3.8

3.8×1.4=5.32

5.32-3.90=1.42

Answer:

96.25

Step-by-step explanation:

A ztable gives us values for P(X<x) and we're looking for P(X>x) so by the rule a symmetry we must make the value negative

Go to a ztable and find the value closest to .6 (I get .25), make this negative and let's set up our equation

-.25=(x-100)/15

solve for x

-3.75=x-100

x=96.25

Answer:

I think B

Step-by-step explanation:

121.346° is more close to 121.3°, than 121.4°

if i'm wrong, the i'm sorry

Abiding by the two rules, the number of variable names we can have in Python are; 63

The rules for python are given as;

1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).

1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.

2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.

Now, abiding by the two rules above, the number of variable names we can have in Python are;

26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names

Read more about Python Programming at: https://brainly.com/question/26497128

#SPJ1

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Step-by-step explanation:

We must do the first derivative test. Here is the steps:

Step 1: Differentiate the polynomial once

we get

\(2 {x}^{2} - 2x - 112\)

Step 2: Set this equal to zero and solve for x.

\(2 {x}^{2} - 2x - 112 = 0\)

\( {x}^{2} - x - 56 = 0\)

\((x - 8)(x + 7) = 0\)

\(x = 8\)

\(x = - 7\)

The solutions are your critical points.

So our critical points are (8,-7).

Step 3: Plot -7 and 8 on a number line. First, pick a number lesser than -7 and plug plug in the derivative function.

Let use -10.

\(( - 10 - 8)( - 10 + 7) = 54\)

Since that number is positive, this means are increasing when (-oo,-7)

Next, pick a number greater than 8. Let use 9.

\((9 - 8)(9 + 7) = 16\)

Since that is positive, the interval is increasing whe (8,oo)

C. If we pick a number in between -7 and 8, we will get a negative number which means the function is decreasing on interval (-7,8)

Answer:

30°

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.

In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:

short leglong leg​=13​​

short leg93​​=13​​

Cross-multiplying and solving for the short leg, we get:

short leg=3​93​×1​=9

Similarly, we can use another proportion to find the hypotenuse:

long leghypotenuse​=3​2​

93​hypotenuse​=3​2​

Cross-multiplying and solving for the hypotenuse, we get:

hypotenuse=3​2×93​​=18

Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.

The angle with 180° is a straight line, and the ray can be drawn in any way.

The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.

Given that, angle PKW is 180 degrees and two additional rays were added,

The figure has been attached in answer.

We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.

Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.

For more references on ray, click;

https://brainly.com/question/17491571

#SPJ1

CA ⁻¹ is undefined because there are more columns in A ⁻¹ than there are rows in C.

Answer:

The answer is C!

The next one is UNDEFINED

Step-by-step explanation:

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

1. The tax rate is 5%.

2. The discounted rate is 24.9%.

Let x be the tax rate as a decimal.

The discounted price = Original price * The discount rate (1 - discount percentage). The discounted price is:

26.63 = 35.50 * (1 - discount percentage)

Solving discount percentage

Discount percentage = 1 - (26.63 / 35.50)

Discount percentage = 0.249

Discount percentage = 24.9%.

To get tax rate, we will: Total price = discounted price + (discounted price * tax rate).

27.96 = 26.63 + (26.63 * x).

Solving for x

x = (27.96 - 26.63) / 26.63

x = 0.04994

x = 0.05

x =  5%.

Read more about sale tax rate

brainly.com/question/9437038

#SPJ1

The average rate of change of the function over the interval is 4

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

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

Read more about average rate of change at

https://brainly.com/question/17131025

#SPJ1

Answer:

1 - 2x

Step-by-step explanation:

Simplify the expression.

1x + 3 - 3x + (-2)

Bring all the like terms together.

= 1x - 3x + 3 - 2

Simplify again.

= 1 - 2x

The three angles can be thought of as being supplementary, and

therefore, sum to 180°

The values and relationships are;

Reason:

Given;

m∠EBD = 58°

m∠DBC = 3·x - 5

m∠ABE = 2·x + 2

Solution:

(a) Given that m∠EBD, m∠DBC, and m∠ABE are adjacent angles forming a straight line, we have;

m∠EBD + m∠DBC + m∠ABE = 180° angles forming a straight line are

supplementary

Therefore;

58° + 3·x - 5 + 2·x + 2 = 180°

3·x + 2·x = 180 - 58 + 5 - 2 = 125

\(x = \dfrac{125}{5} = 25\)

x = 25°

(b) m∠ABE = 2·x + 2

∴ m∠ABE = 2 × 25 + 2 = 52

m∠ABE = 52°

m∠ABD = m∠ABE + m∠EBD

∴ m∠ABD = 52° + 58° -= 110°

BE is a bisector of ∠ABD if  m∠ABE = m∠EBD

m∠ABE = 52° < 58° = m∠EBD

∴  m∠ABE  ≠ m∠EBD

Therefore;

Learn more here:

https://brainly.com/question/1748343

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

\(\huge\text{Hey there!}\)

\(\text{4x = 19}\\\\\large\textbf{DIVIDE 4 to BOTH SIDES}\\\\\rm{\dfrac{4x}{4} = \dfrac{19}{4}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\rm{x = \dfrac{19}{4}}\\\\\rm{x = 19 \div 4}\\\\\text{x = 4.75}\\\\\rm{x \approx 4.7500}\\\\\\\huge\text{Therefore, the answer should be: \boxed{\mathsf{4.7500}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

Learn more about  3D structure from

https://brainly.com/question/25420019

#SPJ1

See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

-16/99

I believe this is correct, please mark brainliest! Have an amazing day and stay safe!

Answer:

Using multiplicative and additional property .

= 17x +6y

Step-by-step explanation:

3(4x + 2y) + 5x.

Multiplicative property.

Using 3 to multiply what's inside the bracket.

= 3*4x + 3*2y +5x

= 12x + 6y +5x

Addition property.

Collection of all like terms together.

All values with same alphabets are going to be added together

= 12x +5x +6y

= 17x +6y

To prove if 3(4x + 2y) + 5x.= 17x +6y

Let's assume both x and y to be 1

We have

3(4(1) + 2(1)) + 5(1) = 17(1) + 6(1)

3(6)+5=17 +6

23= 23.

Proved.

The greatest height reached will be 11.47m.

As it is obvious the motion is in a straight liner and the acceleration due to gravity is constant, sop we can use our equations of motions to find the height reached by the ball.

The initial velocity U of the ball is 15 m/s, when it was thrown vertically upwards,

The final velocity of the ball will be zero, because the ball will come to rest at the highest point of its motion.

the acceleration on the balls is same as the acceleration due to gravity g because the motion is under the influence of earth.

Let say the ball reaches the height H,

Applying the equation,

V² - U² = 2gH

-(15)² = 2 x (-9.8) x H

-225 = 2 x (-9.8) x H

we took the value of acceleration due to gravity as negative because the motion is against the gravity,

H = 11.47 meters.

To know more about Free Fall, visit

https://brainly.com/question/853248

#SPJ9

Answer:

C

Step-by-step explanation:

Tyler, because his money is increasing exponentially.

I finished taking the test and got it right :)

The person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

For example, \(y = a.b^x\) , where a is a and b are constants is an exponential function.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

\(I = \dfrac{P \times R \times T}{100}\)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

\(CI = P(1 +\dfrac{R}{100})^T - P\)

The final amount becomes:

\(A = CI + P\\A = P(1 +\dfrac{R}{100})^T\)

Usually these two rates are used on money. The compound interest is exponential as it has power T as a variable, but for simple interest, there is no variable exponent.

Both are positive, and growth of exponential function is always going to surpass the growth of linear function (can be proven by derivatives).

Since we are not given the function's equation, we cannot correctly calculate the value just from graph, but as in 14 years, the blue line is already close to red line so it will likely cross it after 6 more years (thus total 20 years) because of good growth.

Thus, the person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

Learn more about instantaneous rate of change here:

https://brainly.com/question/13467261

the correct answer is No

Step-by-step explanation:

it's not equal

Answer:

\(\frac{1}{3}\neq\frac{3}{3}\)

Step-by-step explanation:

The two numbers are different