Put the slope intercept form

Answer:

Given ,

Perimeter of square = 48 cm

In the question , it has been said that the square is cût into identical rectangles. Therefore ,

To find - Perimeter of each rectangle formed by cûtting the square into half.

\(\huge\red{ ★\:Aᥒsᥕᥱr -}\)

\(\bold{perimeter \: of \: square = 48 \: cm} \\ \\\bold{ 4 \times side = 48 \: cm} \\ \\\bold{side = \cancel\frac{48}{4}} \\ \\ \fbox\blue{side\:of\:square= 12 \: cm}\)

thus , as stated above ,

\(\bold{length \: of \: rectangle = 12 \: cm} \\\bold{ breadth \: of \: rectangle = \frac{12}{2} = 6 \: cm}\)

Therefore ,

\(\bold{perimeter \: of \: rectangle = 2(l + b)} \\ = 2(12 + 6) \\ = 2(18) \\ \fbox\pink{Perimeter\:of\:rectangle\: = 36 \: cm}\)

hope helpful ~

Remember that from the definition of modulus we have

Therefore, it's always a positive value!

If we have

The values of x are

Because

Therefore, the graph of that solution would be a CLOSED circle on the -2 and a CLOSED circle on the 2, we always use a closed circle to represent a solution.

Answer:

B

Step-by-step explanation:

5 - 2 * 3 + 4

Multiply first

5 - 6 + 4

subtract and add from left to right

5 - 6 + 4 = -1 + 4

-1 + 4 = 3

Answer:

\(1764 = 2^2 \times 3^2 \times 7^2\)

Step-by-step explanation:

Divide by the prime numbers in increasing order until you find all the prime factors.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17

1764/2 = 882

882/2 = 441

441/3 = 147

147/3 = 49

49/7 = 7

7/7 = 1

\(1764 = 2^2 \times 3^2 \times 7^2\)

Answer:

C

Step-by-step explanation:

Area of a parallelogram:

BH x 1/2

In this case 7 and 6 are your base and the height is your half.

Answer:

I believe the answer is A: A = 6 * 7

Step-by-step explanation:

Ok, I may be wrong, but this is how I see the answer:

The formula for how to find the area of a parallelogram is A = b * h.

Base = 6 m

Height = 7 m

A = 6 * 7

The area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.

To find the area of a vertical cross section through the center of the base of the cone-shaped paperweight, we need to determine the radius of the base first.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, we know the circumference is about 12.56 inches, so we can set up the equation:

12.56 = 2πr

To solve for r, we divide both sides of the equation by 2π:

r = 12.56 / (2π)

Now we can calculate the radius:

r ≈ 12.56 / (2 × 3.14)

r ≈ 12.56 / 6.28

r ≈ 2 inches

The radius of the base is approximately 2 inches.

Since the vertical cross section passes through the center of the base, the shape of the cross section is a circle. The formula for the area of a circle is A = \(πr^2\), where A is the area and r is the radius.

Now we can calculate the area of the cross section:

A = \(πr^2\)

A ≈ 3.14 × \((2^2)\)

A ≈ 3.14 × 4

A ≈ 12.56 square inches

Therefore, the area of the vertical cross section through the center of the base of the paperweight is approximately 12.56 square inches.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer: The answer is C, 4 to the 21st over 5 to the 6th power.

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

The length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.

Based on the question given, the width (W) is the length (L) minus 3 units, which can be expressed as:

W = L - 3

The formula for the area (A) of a rectangle is:

A = Length × Width

We are given that the area is 28 square units, so:

A = 28

Now, we can substitute the expressions for width (W) and area (A) into the area formula:

28 = L × (L - 3)

Now, we need to solve this quadratic equation for L. First, expand the equation:

28 = L^2 - 3L

Now, rearrange the equation in standard quadratic form

L^2 - 3L - 28 = 0

To solve this quadratic equation, you can factor it:

(L - 7)(L + 4) = 0

Now, set each factor equal to zero and solve for L:

L - 7 = 0

L = 7

L + 4 = 0

L = -4

Since the length of a rectangle cannot be negative, hence the length of the rectangle is 7 units.

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At a 95% confidence level, the population mean falls between 36.27 and 51.72.

Value of n = 18

Value of x = 44

Value of s = 16

Calculating the degree of freedom.

= n - 1

= 18 - 1

= 17 ( Thus, as per the table critical value is approximately 2.110.)

Calculating the standard error of the mean:

Standard error of the mean

= s / √(n)

= 16 / √18)

= 3.78

Using the formula to construct the Confidence interval

Confidence interval = sample mean ± critical value x mean standard error

= 44 ± 2.110 x 3.786

= (36.27, 51.72)

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Answer:

Pn = A * e ^ (4 * n) + B * e ^ (- 2 * n)

Step-by-step explanation:

We have the following:

Pn = 2 * P_n-1 + 8P_n-2

the characteristic equation is as follows:

L ^ 2 - 2 * L - 8 = 0

Which is equal to:

 L ^ 2 - 4 * L + 2 * L - 8 = 0

we factor:

L * (L - 4) + 2 * (L - 4) = 0

From here we can deduce that:

L = -2

L = 4

Thus:

Pn = A * e ^ (4 * n) + B * e ^ (- 2 * n)

Answer:

nei prossimi giorni, che si è svolto il convegno

Answer:

41

Step-by-step explanation:

= B', c'= 41 units so B, C also equals 41 units.  

In conclusion, BC=41BC=41B, C, equals, 41 units.

Answer:

Step-by-step explanation:

Answer:

It can also be expressed as 35/14.

Step-by-step explanation:

Equivalent Ratio

A ratio is a relation between two numbers a, b in the format a:b and it's equivalent to the division a/b.

Since it's equivalent to a division or a fraction, it can be simplified or amplified by multiplying or dividing both sides by the same number.

The ratio 5:2 can be amplified by multiplied by 7 as follows:

5*7:2*7 = 35:14.

It can also be expressed as 35/14.

Justin is wrong because the radius is not squared, the actual radius is r = 3m.

First, remember that for a sphere of radius R the surface is:

\(S = 4pi*r^2\)

So you already can see that Justin is wrong, because the radius in his expression is not squared.

Now to be complete, let's find the radius:

\(113.04 m^2 = 4*(3.14)*r^2\\\\\sqrt{\frac{113.04 m^2}{4*3.14} } = r = 3m\)

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The operation that has been performed on v to result in the vector that is shown is multiplication by -1.

The vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.

Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).

Here is the mathematical equation:

(-1) * (2, 1) = (-2, -1)

Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.

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The graph of the function is attached, and the y-intercept of the graph is 64

The table of values is given as

x 2 3 4 5

f(x) 16 8 4 2

In the above table of values, we can see that

As x increases by 1, the value of y changes by a factor of 1/2

This means that the table of values is an exponential function

An exponential function is represented as

y = ab^x

In this case,

b = the change in the factor of y

So, we have

b = 1/2

The equation becomes

y = a(1/2)^x

Using one of the values on the table, we hace

16 = a(1/2)^2

Evaluate

16 = a * 1/4

This gives

a = 64

So, the equation of the function is

y = 64(1/2)^x

Next, we plot the graph of the function

See attachment for the graph of the function that represents the table of values

On the graph, we can see  that

y = 64 when x = 0

This means that the y-intercept of the graph is 64

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Answer:

64.

Step-by-step explanation:

To find the zeros of the polynomial f(x) = -2(x+6)(x+1)^2, we need to find the values of x that make f(x) equal to zero.

Setting f(x) equal to zero, we get:

-2(x+6)(x+1)^2 = 0

Using the zero product property, we can see that this equation is equal to zero if either the first factor, -2(x+6), is equal to zero or if the second factor, (x+1)^2, is equal to zero.

Setting -2(x+6) equal to zero:

-2(x+6) = 0

Solving for x, we get:

x = -6

Therefore, x = -6 is a zero of the polynomial.

Setting (x+1)^2 equal to zero:

(x+1)^2 = 0

Expanding the left-hand side, we get:

x^2 + 2x + 1 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac))/(2a)

In this case, a = 1, b = 2, and c = 1, so we get:

x = (-2 ± sqrt(2^2 - 4(1)(1)))/(2(1))

Simplifying, we get:

x = (-2 ± sqrt(0))/2

x = -1

Therefore, x = -1 is a zero of the polynomial.

Therefore, the zeros of the polynomial f(x) = -2(x+6)(x+1)^2 are x = -6 and x = -1.

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Answer:

2x

Step-by-step explanation:

It will take approximately 6.1 minutes to fill the pool to a depth of 20 cm at the given fill rate.

Find the radius of the pool:

Since the diameter is 115 cm, the radius (r) will be half of that:

Radius (r) = Diameter / 2

r = 115 cm / 2

r = 57.5 cm

Calculate the volume of the pool when filled to a depth of 20 cm:

Since the pool is round and assuming it has a cylindrical shape, we can use the formula for the volume of a cylinder:

Volume = π × r² × h

where π (pi) is approximately 3.14159, r is the radius, and h is the height (or depth, in this case).

Volume = 3.14159 × (57.5 cm)² × 20 cm

Evaluate the volume:

Volume ≈ 3.14159 × 3306.25 cm² × 20 cm

Volume ≈ 3.14159 × 66125 cm³

Volume ≈ 207354.2 cm³

Calculate the time it takes to fill the pool to a depth of 20 cm:

We are given that the hose fills the pool at a rate of 34,000 cm³ per minute. To find out how long it will take to fill the pool, we can use the following formula:

Time = Volume / Fill Rate

Time ≈ 207354.2 cm³ / 34,000 cm³/min

Time ≈ 6.1 minutes

It will take approximately 6.1 minutes to fill the pool to a depth of 20 cm at the given fill rate.

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Answer:

A) QT

Step-by-step explanation:

It looks like QT will be your best choice on this question. If you follow the example given to you, it seems like QT would be the right answer.

Answer:

y=8

Step-by-step explanation:

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer:

5400 square root of 6

Step-by-step explanation:

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

4x-20

Step-by-step explanation:

2+5x-1x-22

First, rearrange to make life temporarily easier.

5x-1x+2-22

Then combine like terms.

5x-1x=4x

2-22=-20

So we have 4x-20

That is simplified as far as it can.

---

hope it helps

Answer:

Unless we have something more we are solving for, the best we can do is to simplify into slope-intercept form and then graph.

-> See attached

Step-by-step explanation:

y-2x= -6

y = 2x - 6

-> See attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

≥ 34.29 mph

Step-by-step explanation:

Given that:

Distribution is normal :

Mean(m) = 31 mph

Standard deviation = 2 mph

Speed of top 5%

Top 5% = bottom (100% - 5%) = 95% = 0.95

Zscore which corresponds to 0.95 = 1.645

Using the Z formula:

Zscore = (score - mean) / standard deviation

1.645 = ( score - 31) / 2

Croas multiply:

2 * 1.645 = score - 31

3.29 = score - 31

3.29 + 31 = score

34.29 = score

Hence, speed must be greater than or equal to 34.29 mph