Plz help what number should be placed in the box to help complete the division calculation also there is a screen shot

Answer:

12 square feet

Step-by-step explanation:

The shape of the top of the desk is a trapezoid.

A = (b1 + b2)h/2

A = (5 ft + 3 ft)(3 ft)/2

A = (8 ft)(3 ft)/2

A = 24 ft^2/2

A = 12 ft^2

Answer: 12 square feet

Answer:

Set your calculator to Degree mode.

\( \alpha = {cos}^{ - 1} \frac{7}{8} \)

\( \cos(2 \alpha ) = \frac{7}{x} \)

\( \cos(2 {cos}^{ - 1} \frac{7}{8} ) = 2 {cos}^{2} ( {cos}^{ - 1} \frac{7}{8} ) - 1 = \frac{7}{x} \)

\(2( { \frac{7}{8}) }^{2} - 1 = \frac{7}{x} \)

\( \frac{17}{32} = \frac{7}{x} \)

\(17x = 224\)

\(x = \frac{224}{17} = 13.176\)

\( \alpha = {cos}^{ - 1} \frac{7}{8} = 28.955 \: degrees\)

So x = 224/17 = 13.176 and theta = 28.955°.

If  (12, -33) is solution of Equation then LHS= RHS.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the points (12, -33).

As, we know that the points are said to be the solution of equation if the LHS part of Equation becomes equal to RHS part of Equation.

For instance we have Equation x+ 2y= 3.

Then we have solution of the Equation then by solving x+2 y we get the value 3.

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Answer:

90° around the origin

Step-by-step explanation:

not sure but I think it's correct tho

Answer:

Yes

Step-by-step explanation:

7 = 2(4) -1

7 = -4 +11

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

For 1st year percentage increase is 100%

For 2nd Year percentage increase is 50%

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 of 100 questions correctly on a test (75/100).

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Population function is

P(x) = 40000 * 1.2x

Population in 2015 , x = 1

P(1) = 40000*1.2 = 48000

Population in 2016 , x = 2

P(2) = 40000*1.2*2 = 96000

Population in 2017 , x = 3

P(3) = 40000*1.2*3 = 144000

So for 1st year percentage increase = (96000-48000)/48000 *100 = 100%

For 2nd Year percentage increase = (144000-96000)/96000 *100 = 50%

Similarly it will reduce at a rate of 0.5.

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The sampling technique used in this scenario is D. Random sampling. Random sampling involves randomly selecting elements from the population to create a representative sample.

In this case, the manager at the fitness center used the membership list to randomly select 500 members for the satisfaction survey.

Random sampling ensures that each member in the population has an equal chance of being selected, which helps minimize bias and increase the generalizability of the results. By randomly selecting members, the sample is more likely to be representative of the entire membership population, allowing the manager to make inferences about the satisfaction levels of all members based on the responses of the selected sample.

Other sampling techniques could have been used as well, depending on the specific objectives and constraints of the survey. For example, if the manager wanted to ensure representation from different subgroups within the membership, they could have used stratified sampling. However, since the objective was to randomly select members without any specific stratification or clustering criteria, random sampling was the appropriate choice in this scenario.

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The volume of the solid formed by rotating the region inside the first quadrant enclosed by the curves y = x and y = 5x about the x-axis is (250π/7) cubic units. When finding the volume of a solid of revolution, we use the method of cylindrical shells.

To calculate the volume, we integrate the area of each cylindrical shell formed by rotating an infinitesimally small strip about the x-axis. The height of each shell is the difference between the y-values of the two curves, which is (5x - x²). The circumference of each shell is given by 2πx, and the thickness is dx. Therefore, the volume of each shell is 2πx(5x - x²)dx.

To find the total volume, we integrate this expression over the interval where the two curves intersect. Setting\(y = x^2\)and y = 5x equal to each other, we get x² = 5x. Solving this equation, we find two intersection points: x = 0 and x = 5. Thus, the limits of integration are from 0 to 5.

Integrating the expression \(2\pi x(5x - x^2)dx\) from 0 to 5 gives us the volume of the solid formed by rotating the region inside the first quadrant. Evaluating this integral, we find the volume to be (250π/7) cubic units.

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The real word examples of Symmetric, Transitive, and Substitution properties are {2 = 1 + 1 ⇒ 1 + 1 = 2} , {4 = 2 + 2 and 2 + 2 = 5 - 1 then 4 = 5 - 1} , { if 4 = 2 + 2 then 8×4 = 8(2+2) } respectively there is no non-example.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Symmetric property states that if a = b  then b = c

For example 2 = 1 + 1 ⇒ 1 + 1 = 2

Transitive property states that if a = b , b = c then a = c

For example 4 = 2 + 2 and 2 + 2 = 5 - 1 then 4 = 5 - 1

Substitution property states that if a = b then we can put b instant of an in any equation.

For example 4 = 2 + 2 then 8×4 = 8(2+2)

Hence "The example of real word on Symmetric, Transitive, and Substitution properties are {2 = 1 + 1 ⇒ 1 + 1 = 2} , {4 = 2 + 2 and 2 + 2 = 5 - 1 then 4 = 5 - 1} , { if 4 = 2 + 2 then 8×4 = 8(2+2) } respectively".

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Answer:

Step-by-step explanation:

15

it would take 9 minutes to fill a 15-gallon container using the same garden hose.

If a garden hose can fill up a 5-gallon container in 3 minutes, we can use this information to calculate how long it would take to fill a 15-gallon container. The time it takes to fill a container is directly proportional to the volume of the container. In this case, the ratio of volumes is 15 gallons (larger container) to 5 gallons (smaller container). Since the volumes are in the ratio of 15:5, which simplifies to 3:1, the time it takes to fill the larger container will also be in the same ratio.

So, if it takes 3 minutes to fill a 5-gallon container, it will take 3 times longer to fill a 15-gallon container.

3 minutes (to fill 5 gallons) x 3 = 9 minutes

Therefore, it would take 9 minutes to fill a 15-gallon container using the same garden hose.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The equations of the parabola are y = (x - 1)(x - 7), y = -(x + 1)(x - 5) and y = (x + 8)(x + 4)

Other properties are below

The equation of a parabola in factored form is represented as

y = a(x - x₁)(x - x₂)

Where

x₁ and x₂ are the x-intercepts of the function

Using the above as a guide, we have the following:

Function 1

y = a(x - 1)(x - 7)

Using the points in the graph, we have

a(4 - 1)(4 - 7) = -9

a = 1

So, the function is

y = (x - 1)(x - 7)

Set x = 0 for the y-intercept

y-intercept = (0 - 1)(0 - 7)

y-intercept = (0, 7)

The x-intercepts are (1, 0) and (7, 0)

Lastly the vertex is (4, -9)

Function 2

y = a(x + 1)(x - 5)

Using the points in the graph, we have

a(2 + 1)(2 - 5) = 9

a = -1

So, the function is

y = -(x + 1)(x - 5)

Set x = 0 for the y-intercept

y-intercept = -(0 + 1)(0 - 5)

y-intercept = (0, 5)

The x-intercepts are (-1, 0) and (5, 0)

Lastly the vertex is (2, 9)

Function 3

y = a(x + 8)(x + 4)

Using the points in the graph, we have

a(-6 + 8)(-6 + 4) = -4

a = 1

So, the function is

y = (x + 8)(x + 4)

Set x = 0 for the y-intercept

y-intercept = (0 + 8)(0 + 4)

y-intercept = (0, 32)

The x-intercepts are (-8, 0) and (-4, 0)

Lastly the vertex is (-6, -4)

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a The product of a constant factor of four and a factor with the sum of two terms.

If there were two people dividing the cost of the gift, each person would spend $180.

If there were three people dividing the cost of the gift, each person would spend $120.

If there were two people dividing the cost of the gift, each person would spend $180 ($360 ÷ 2 = $180).

If there were five people dividing the cost of the gift, each person would spend $72 ($360 ÷ 5 = $72).

If there were ten people dividing the cost of the gift, each person would spend $36 ($360 ÷ 10 = $36).

If there were one hundred people dividing the cost of the gift, each person would spend $3.60 ($360 ÷ 100 = $3.60)

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

a. $1.50 per pound of weight.

b. C

Step-by-step explanation:

a. explanation:

1. pounds is increasing by +4 and dollars are increasing by +6.00

 2. as a fraction it is 6/4.

  3. simplified is 1 1/2 or 1.50

b. explanation

1. we know that the slope (or rate of change) is $1.50 /per pound of weight.

 2. 4 - 4 = 0; $11.00 - 6.00 = $5.00

  3. 0, $5.00

   4. The y-int. is $5.00

    5. answer is C

By using differential equations' concept, we get that there is no sugar in the beginning.

A differential equation is an equation that connects the derivatives of one or more unknown functions.

Given:

Pure water = 2840 litres

sugar = 0.01kg per liter

Rate of sugar entering the tank = 4liter/min

New solution drains out at the rate = 4 litre/min

To find: sugar in the beginning.

Finding:

(a) In the beginning, the tank contains only pure water and no solution of water with sugar.

Hence, the sugar is null for t = 0.

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Answer:

Step-by-step explanation:

Draw altitudes from A and D to get two 30°-60°-90° triangles.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

BC = 3√3 + 16 + 9√3 = 16 + 12√3

Answer:

A) 12 unique outcomes

Step-by-step explanation:

Fundamental Counting Principle:

multiply the choices:  3 x 2 x 2 = 12

Answer:

The area in square meter is 412,500 square meters

the price per square meter is 500 pesos per square meter

Step-by-step explanation:

Firstly, let us get the measure of the dimensions in meters

Mathematically, 1000 m = 1 km

Thus;

0.75 km = 0.75 * 1000 = 750 m

The area of a rectangle is the product of its side lengths

mathematically, we have this as;

550 * 750 = 412,500 square meters

To get the price per square meter, we have to divide the price of the whole plot by the area

So we have ;

(206,250,000) pesos / 412,500 square meters

= 500 pesos per square meter

On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= \([5652]/(3.14*7.5²) = h=32 cm\)

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  \(=[4239]/(3.14*7.5²) = h=24 cm\)

the difference is \(32-24 = 8 cm\)

the answer is

8 cm

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Answer:

yes

Step-by-step explanation:

as you can see if you count them they are

Answer:

The shape on the very left of the picture is not a quadrilateral. However, the three other shapes are quadrilaterals.

Step-by-step explanation:

A shape is a quadrilateral if it has four sides and four angles. The shape on the left has five sides and five angles, therefore, not a quadrilateral.

Answer:the answer would also be 20 degrees

Step-by-step explanation:

because its exaclty across from the angle!!!!!

Answer:

20 degrees

Step-by-step explanation

they are opposite angles

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

x = 21

y = 29

Step-by-step explanation:

Because of the parallel lines and the transversal, angles 3x - 3 and 60 are alternate interior angles that are congruent.

3x - 3 = 60

3x = 63

x = 21

Angles 4y + 4 and 60 are a linear pair, so they are supplementary, and their measures add to 180°.

4y + 4 + 60 = 180

4y + 64 = 180

4y = 116

y = 29

THEOREM 2 of Language Recognition states that if and only if it is a regular set, a set is generated by a regular grammar. Here, we have a regular grammar G = (V, T, S, P), where V = {0, 1, A, S}, T = {0, 1}, and the productions in P are S→ 1A, S → 0, A → OA, A → 1.

The task is to build a finite-state automaton that recognizes the language generated by G.A regular expression can be derived from the given production rules: S → 1A, S → 0, A → OA, A → 1=> S → 1AA*, S → 0, A → 1OAA* => S → 1AA*, 0, A → 1OAA* => S → 1AA*, 0, A → 1OA(1 | ε) => S → 1AA*, 0, A → 1OA| OAA* A regular expression derived from the given grammar is S → 1AA*, 0, A → 1OA| OAA*.We can generate a non-deterministic finite automaton (NFA) from this regular expression. Next, we can convert it to a deterministic finite automaton (DFA) for the equivalent language recognition. The steps to follow are:

Step 1: Start with the state S, read 0, and remain in state Step 2: Go to state A if you read 1, otherwise, remain in state SStep 3: Read a 0 and stay in state Step 4: Read a 1, remain in state A if another 1 follows, and stay in state S if a 0 follows Step 5: Read a 1, stay in state A if another 1 follows, and go to state S if a 0 follows. We use a double circle to indicate the accept state.Finite-state automaton The above figure shows a finite-state automaton that recognizes the language generated by the given grammar.

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The equation of a line perpendicular to p(t) = 3t + 4 and passing through the point (3, 1) is: P(t) = -1/3 + 1

Given:

p(t) = 3t + 4

point (3,1)

To find this out, we must use the slope perpendicular to 3

perpendicular slopes are the slope's reciprocal's negative, which in this case it is -1/3

to find the line with the points (3,1), we simply use the equation y = -1/3x + b and then plug them in

1 = -1/3(3) + b

1 = -1 + b

b = 2

the y intercept is 2 and so we can write the equation like this:

P(t) = -1/3t + 2

Hence we get the required equation of a line.

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