The number 36 is 1296 of:​

Answer:

B

Step-by-step explanation:

RANGE  are the Y values

Answer:

b

Step-by-step explanation:

Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine them.

Exact Form:

188

5

Decimal Form:

37.6

Mixed Number Form:

37

3

5

hope this helped have a nice day! :)

Answer:

Step-by-step explanation:

(124+64) /5

= 188/5

Answer is = 37.5

Answer:

1/2 cups

Step-by-step explanation:

She will need 1/2 cups.

She needs 1/2 cups, because she is making 12 soups.

Hope this helped

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

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The question is incomplete. The complete question is :

Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision.

\($\{ x^5, x^5-1,3 \} \text{ on } (- \infty, \infty)$\)

Solution :

Given :

Function : \($\{ x^5, x^5-1,3 \} \text{ on } (- \infty, \infty)$\)

We have to determine whether the given function is linear dependent or linearly independent for the interval \($(-\infty, \infty)$\).

The given function are linearly dependent because for the constants, \(c_1\) and \(c_2\), the equation is :

\($c_1x^5 + c_23 = x^5-1$\)  has the solution \($c_1 = 1$\) and \($c_2 = -\frac{1}{3}$\)

Therefore,

\($1x^5 + \left(-\frac{1}{3}\right)3 = x^5-1$\)

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

Answer:

324

Step-by-step explanation:

20%-> 0.2

0.2(270)= 54

270+54=324

Answer:The answer is 324

Step-by-step explanation:20% of 270 is 54 so add 54 and 270 because you increase by 20 to get the answer

Answer:

317.43

Step-by-step expl

The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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It can be noted that the true statements about the relations include:

A. The equality relation on the real numbers is an equivalence relation.

C. A relation from a set with n elements to itself can have up to elements.

E. A function is a special relation.

G. The equality relation on the real numbers is anti-symmetric.

H. If is a reflexive relation on a set S, then any two - related elements of S must also be related.

I. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric.

It should be noted that a relation simply means the relationship between the set of values.

The information given about the relations above are true in these cases.

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A proportional graph is when y increases/decreases, if x increases. The graph shows that as x increases, the value of y stays the same, therefore it is not proportional.

To find the asymptotic complexity of a function, you need to analyze the behavior of the function as the size of the input grows. You need to determine the number of operations that are performed by the algorithm, and express this as a function of the size of the input.

Asymptotic complexity is a measure of the growth rate of the running time of an algorithm as the size of the input grows towards infinity. It is expressed using big O notation, which provides an upper bound on the growth rate of the running time.

Here are the steps to find the asymptotic complexity of a function:

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.

What is the Gaussian method?

The Gaussian method, also known as Gaussian elimination or row reduction, is a technique for solving systems of linear equations. It involves performing a sequence of operations on the rows of a matrix to transform it into an equivalent matrix that is in row echelon form or reduced row echelon form.

To use the Gaussian method, we need to set up a system of linear equations based on the given information. Let x, y, and z be the number of units of Metakeb, Mewesson, and Metekem produced per month, respectively. Then we have:

Machining department: 1200x + 1800y + 3000z = 1050(60)

Inspection department: 2400x + 1200y = 1160(60)

Assembly department: 600x + 3000y = 830(60)

Simplifying these equations, we get:

Machining department: 20x + 30y + 50z = 3150

Inspection department: 8x + 4y = 232

Assembly department: x + 5y = 139

Now we can use the Gaussian method to solve for x, y, and z:

Step 1: Write the augmented matrix:

| 20 30 50 | 3150 |

| 8 4 0 | 232 |

| 1 5 0 | 139 |

Step 2: Use row operations to get the matrix in row echelon form:

R2 → R2 - 4/5 R3

R1 → R1 - 20R3

| 0 -2 50 | 850 |

| 0 2 -4   | -28 |

| 1 5 0     | 139 |

R2→ -1/2 R2

R1 → R1 + R2

| 0 1 -25 | 407 |

| 0 1 -2 | 14 |

| 1 5 0 | 139 |

R1→ R1 - R2

| 0 0 -23 | 393 |

| 0 1 -2 | 14 |

| 1 5 0 | 139 |

R3→ R3 - 5R2

| 0 0 -23 | 393 |

| 0 1 -2 | 14 |

| 1 0 10 | 65 |

R1→ -1/23 R1

| 0 0 1 | -17 |

| 0 1 -2 | 14 |

| 1 0 10 | 65 |

R2 → R2 + 2R3

| 0 0 1 | -17 |

| 0 1 0 | 96 |

| 1 0 10 | 65 |

R3 → R3 - 10R1

| 0 0 1 | -17 |

| 0 1 0 | 96 |

| 1 0 0 | 235 |

Step 3: Read off the solution from the row echelon form:

z = -17

y = 96

x = 235

Therefore, the company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.

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in order of operation. Multiply and divide (from left to right), therefore

answer is 16

Answer:

a) 12/24 * 11/24*10/24

b) 1 - 12/24 * 11/24*10/24

c) 12/24 * 11/24 *12/24

Step-by-step explanation:

Total number of bottles = 12 + 5+7 = 24

a. The probability that all (exactly three) bottles are strawberry flavored is: 212

12/24 * 11/24*10/24

b. The probability that at least one of the three bottles are strawberry flavored is:  

1 - P (no strawberry bottle)

1 -  (12/24*11/24*10/24)

c. The probability that exactly 2

12/24 * 11/24 *12/24

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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9514 1404 393

Answer:

  3/8 pizza

Step-by-step explanation:

If 1/4 of the 4/4 of the pizza was gone, 3/4 remained. When that is split in half, each half is (3/4)(1/2) = 3/8 of the pizza.

Each gets 3/8 of the pizza.

A number cube has 6 faces numbered 1 to 6

Probability of getting number 1 in a single roll = 1/6

Number of times she expects the cube to land on the number 1 in 32 rolls = 1/6 x 32

= 32/6 = 5.33 times

The answer is 5.33 times

Answer:

(-1, 0) and (8, 9)

Step-by-step explanation:

x² - 6x-7 = x + 1

x² - 7x - 8 = 0

(x - 8)(x + 1) = 0

x = -1, 8.

When x = - 1, y = 0

and x = 8, y = 9

Answer:

22 students per class

Step-by-step explanation:

hope this helps :)

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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y/8 ≤ 2 is equivalent to y ≤ 16.

Inequality in math is a statement that two expressions or values are not equal. This can be expressed using symbols such as >, <, ≥, or ≤. Inequality problems are used to solve for a variable that is not necessarily equal to a given value. An example of an inequality problem is finding the value of a variable in the equation x > 5. The solution to this problem is all real numbers greater than 5.

This is happening because when we divide both sides of the inequality y/8 by 8, we are essentially dividing both sides of the inequality by the same number. This preserves the order of the numbers and the inequality sign. So, dividing both sides by 8 results in y ≤ 16, which is the same as y/8 ≤ 2.

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The diamond rule creates a system of equation for variables m and n

The possible values of m and n are 8 and 4 or 4 and 8

The question is incomplete; so I will make use of the attached figure

When the diamond rule is applied to the figure, we have the following equations

\(mn = 32\)

\(m + n = 12\)

Make n the subject, in the second equation

\(n = 12 - m\)

The first equation becomes

\((12 - m)m = 32\)

Expand

\(12m - m^2 = 32\)

Rewrite as:

\(-m^2 + 12m - 32 = 0\)

Multiply through by -1

\(m^2 - 12m + 32 = 0\)

Expand

\(m^2 - 4m - 8m + 32 = 0\)

Factorize

\(m(m - 4) - 8(m - 4) = 0\)

Factorize

\((m - 8)(m - 4) = 0\)

Solve for m

m = 8 or m = 4

Recall that:

\(n = 12 - m\)

So, we have:

n = 12 - 8 or n = 12 - 4

Solve

n = 4 or n = 8

Hence, the possible values of m and n are 8 and 4 or 4 and 8 (using the attached figure)

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer:

The standard deviation of the sampling distribution is 0.0122 = 1.22%

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

A survey asks a random sample of 1500 adults in Ohio

This means that \(n = 1500\)

34% of all adults in Ohio support the increase.

This means that \(p = 0.34\)

The standard deviation of the sampling distribution is

\(s = \sqrt{\frac{0.34*0.66}{1500}} = 0.0122\)

The standard deviation of the sampling distribution is 0.0122 = 1.22%

The total measure of all the angles in a triangle is 180°.

Since there is already a 90° angle, the other 2 angles must also add up to 90°.

The only answer that fits is x = 9.

Check:

9x7 = 63°

3x9 = 27°

Add up = 90°

:)

C (x=18)

is your answer