Korri plotted three vertices of a rectangle on a coordinate plain at (-3,3) (1.5,3), (-3, -21/2.) Wha t is the 4rth point of the rectangle?

Yes, the two-sample z test is appropriate here. This test is used to compare the means of two independent groups and determine whether they are statistically different.

In this experiment, the two groups are the participants who received the drink with the artificial sweetener and the participants who received the drink without it. The test will determine if there is a significant difference in their blood glucose levels after consuming each drink. The fact that the same participants are measured on two different days is not an issue, as long as the order in which they receive the drinks is randomized to avoid any potential order effects. The z test requires certain assumptions to be met, such as normality and equal variances between the groups, so the researcher should check these assumptions before conducting the test. Overall, the two-sample z test is a suitable statistical method for analyzing the impact of the new artificial sweetener on blood glucose in this experiment.

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Step-by-step explanation:

I hope this answer is helpful ):

The value of {b} is equivalent to 4.

Geometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects.

Given are two intersecting lines.

The two intersect to create two pairs of vertically opposite angles. We can write -

(5b + 16)° = (b + 32)°

5b - b = 32 - 16

4b = 16

b = 4

Therefore, the value of {b} is equivalent to 4.

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{Question in english is given below -

The figure shows two lines cut by a transversal. (5b + 16)° (b + 32)°.​}

Answer:

-12x + 2

Step-by-step explanation:

(-6) + 8 - 3x -9x

Add like terms

(-6) + 8 = 2

(-3x) + (-9x) = -12x

Put the term with the variable in front

Answer:

2.2 23 + 26

Step-by-step explanation:

rate and hit that thanks button

Answer:

2.2 23 + 26 is your answer :)

Step-by-step explanation:

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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The minimized SOP expression for the given logic function is ABCDE + ABCDE.

To find the minimized Sum of Products (SOP) expression using a five-variable Karnaugh map, follow these steps:

Step 1: Create the Karnaugh map with five variables (A, B, C, D, and E) and label the rows and columns with the corresponding binary values.

```

    C D

A B  00 01 11 10

0 0 |  -  -  -  -

 1 |  -  -  -  -

1 0 |  -  -  -  -

 1 |  -  -  -  -

```

Step 2: Fill in the map with '1' values for the minterms given in the logic function, and '0' for the remaining cells.

```

    C D

A B  00 01 11 10

0 0 |  0  0  0  0

 1 |  1  1  0  1

1 0 |  0  1  1  0

 1 |  0  0  0  1

```

Step 3: Group adjacent '1' cells in powers of 2 (1, 2, 4, 8, etc.).

```

    C D

A B  00 01 11 10

0 0 |  0  0  0  0

 1 |  1  1  0  1

1 0 |  0  1  1  0

 1 |  0  0  0  1

```

Step 4: Identify the largest possible groups and mark them. In this case, we have two groups: one with 8 cells and one with 4 cells.

```

    C D

A B  00 01 11 10

0 0 |  0  0  0  0

 1 |  1  1  0  1

1 0 |  0  1  1  0

 1 |  0  0  0  1

```

Step 5: Determine the simplified SOP expression by writing down the product terms corresponding to the marked groups.

For the group of 8 cells: ABCDE

For the group of 4 cells: ABCDE

Step 6: Combine the product terms to obtain the minimized SOP expression.

F(A,B,C,D,E) = ABCDE + ABCDE

So, the minimized SOP expression for the given logic function is ABCDE+ ABCDE.

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The minimized SOP expression for the given logic function is ABCDE + ABCDE.

We start by creating the Karnaugh map with five variables (A, B, C, D, and E) and label the rows and columns with the corresponding binary values.

A B   C D

00 01 11 10

0 0 |  -  -  -  -

1 |  -  -  -  -

1 0 |  -  -  -  -

1 |  -  -  -  -

We then fill in the map with '1' values for the minterms given in the logic function, and '0' for the remaining cells.

  A B  C D

00 01 11 10

 0 0 |  0  0  0  0

1 |  1  1  0  1

1 0 |  0  1  1  0

1 |  0  0  0  1

we then group adjacent '1' cells in powers of 2:

A B    C D

00 01 11 10

0 0 |  0  0  0  0

1 |  1  1  0  1

1 0 |  0  1  1  0

1 |  0  0  0  1

For the group of 8 cells: ABCDE

For the group of 4 cells: ABCDE

F(A,B,C,D,E) = ABCDE + ABCDE

In conclusion, the minimized SOP expression for the logic function is ABCDE+ ABCDE.

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sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.

In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.

When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.

The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.

In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.

Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.

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The optimal level of Y is option a) 23

TB = \(300Y - 6Y^2\)

MB or Marginal Benefit will result from the first derivative

MB=300-12Y

and TC = 24Y + 108

Marginal Cost, or MC, will result from the first derivative.

MC=24

MC=MB is the level of Y that is ideal.

300-12Y=24

12Y=276

Y=23

The expense that a business incurs when it needs to produce extra units of any goods or services is referred to as a marginal cost.

It is computed by taking into consideration the whole cost of creating the extra items and dividing that sum by the variation in the overall quantity of the produced goods.

Variable costs like materials and labor are included in marginal costs. Additionally, it takes into account any increases in fixed expenses like selling, administration, and overhead.

When a change in production volume is required, the cost change is referred to as the change in the cost of production. More labor and raw resources are needed to produce additional units, changing the overall cost of production.

The volume of output either increases or decreases, which affects quantity. With an increase or decrease in production, there will be a variation in cost.

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The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer:

it should be 3 so letter c

Step-by-step explanation:

I hope this help

to multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. To express the answer in scientific notation, we need to write the result as a number between 1 and 10 multiplied by a power of 10.

Therefore, (4x10^-6)(5x10^-1) = 2x10^-6 in scientific notation.

To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. In this case, we have:

\((4*10^{-6} )(5*10^{-1} ) = (4*5)x(10^{-6} *10^{-1} )= 20*10^{-2}\)

To write the answer in scientific notation, we need to express 20 as a number between 1 and 10 multiplied by a power of 10. In this case, we can write:

\(20 = 2*10^{1}\)

So the final answer is:

\(20*10^{-7} = 2*10^1 * 10^{-7} = 2*10^{-6}\)

Therefore, \((4*10^{-6} )(5*10^{-1} ) = 2*10^{-6}\) in scientific notation.

In summary, to multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. To express the answer in scientific notation, we need to write the result as a number between 1 and 10 multiplied by a power of 10.
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Answer:

5d+4

Explanation:

d= her daughters age

Answer:

d:1

Step-by-step explanation:

the answers will always be negative and the other side will always be positive

Answer:

  3 and 13

  5 and 11

Step-by-step explanation:

You want two prime numbers that have a sum that is a square number less than 30 with more than 3 factors.

The square numbers less than 30 are 1, 4, 9, 16, 25. Of these, only 16 has more than 3 factors.

There are two sets of primes that have a sum of 16. Amber could have written down either of these pairs.

  3 and 13

  5 and 11

<95141404393>

The correct expression which can be used to find AC is,

⇒ 7.8 (cos 23°)

We have to given that;

A triangle ABC shown in figure.

Now, We can formulate;

cos 23° = AC / AB

cos 23° = AC / 7.8

AC = 7.8 (cos 23°)

Thus, The correct expression which can be used to find AC is,

⇒ 7.8 (cos 23°)

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Answer:

answer is 4

I hope it helped

Step-by-step explanation:

\(f(x) = \sqrt{x} - 2\\\)

which is basically

\(0 = \sqrt{x} - 2\)

\(2 = \sqrt{x}\)

\(2^{2} = x\)

\(x = 4\)

Answer:

Down Here ↓↓↓↓↓

Step-by-step explanation:

Hello!

Here we can see that the slope's are parallel, so no multiplication was involved. The vertex's are different because the graph starts at different points. We also see that the axis of symmetry is also different because the vertex of the graph is different

My statement is:

The blue dotted graph and the red graph are different because the vertex and axis of symmetry of both graphs are at different places. Something similar between them is that the slopes of the graphs are congruent.

-Chetan K

Answer:

(x + y - 2xy)*(x + y + 2xy)

Step-by-step explanation:

x^2-4x^2y^2+y^2+2*x*y

=x^2 + 2xy + y^2 - (2xy)^2

=(x + y)^2 - (2xy)^2

=(x + y - 2xy)*(x + y + 2xy)

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.

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Answer: hope I helped look down

Step-by-step explanation:

h=A2πr﹣rr Radius A Surface area

Answer:

1 / 18

Step-by-step explanation:

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome = 1

Total number of outcome (1,2,3,4,5,6,7,8,9,10) = 10

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME  = 1 / 10

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome (2,4,6,8,10) = 5

Total number of outcomes (1,2,3,4,5,6,8,9,10) = 9

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = 5/9

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME AND THEN DRAWING AN EVEN NUMBER = 1 / 10  * 5 / 9 = 1 / 18

Answer:

Step-by-step explanation:

The correct answer is:

the initial height of the plant

The y-intercept represents the point where the graph intersects the y-axis. In the context of a relationship between plant growth and time, the y-intercept would represent the initial height of the plant, which is the height of the plant at the start of the experiment, before any growth has occurred.

Answer:

Step-by-step explanation:

d=m/V

7.8=15/V

V=15/7.8

≈1.92 cm³

Answer:

the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Step-by-step explanation:

Answer:

the slope intercept form is

Step-by-step explanation:

Algebra 1 - y=mx+b

Algebra 2 - y=mx+b

m=slope

(0, b)=y-intercept

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

The claim that needs to be proven is

If x is a root of a sixth-order polynomial with real coefficients, then x is also a root.

To prove this statement, we can use the fact that complex roots of polynomials with real coefficients always come in conjugate pairs.

Suppose that x is a root of a sixth-order polynomial P(x) with real coefficients. Then we can write P(x) in the following form:

\(P(x) = (x - r1)(x - r2)(x - r3)(x - r4)(x - r5)(x - r6)\)

where r1, r2, r3, r4, r5, and r6 are the roots of P(x), some of which may be equal to x.

Since x is a root of P(x), we can factor out \((x - x)\) from the above expression, giving:

\(P(x) = (x - x)(x - r2)(x - r3)(x - r4)(x - r5)(x - r6)\)

Each of the remaining factors in this expression is a polynomial of degree 5 with real coefficients. Therefore, by the Fundamental Theorem of Algebra, each of these factors has either one or two (complex conjugate) roots.

However, since the total number of roots of P(x) is six (counting multiplicity), and we have already accounted for one of these roots (x), the remaining five roots must come in conjugate pairs. That is, if r2 is a complex root of P(x), then so is its complex conjugate r2*. Similarly, if r3 is a complex root of P(x), then so is its complex conjugate r3*, and so on for r4, r5, and r6.

Thus, we can write P(x) in the following form, where each of the terms is either a real linear factor or a pair of complex conjugate factors:

\(P(x) = (x - x)Q(x)\)

where Q(x) is a polynomial of degree 5 with real coefficients, and the roots of Q(x) come in conjugate pairs.

Since Q(x) has real coefficients and the roots of Q(x) come in conjugate pairs, it follows that if x is a root of Q(x), then its complex conjugate x* must also be a root of Q(x). Therefore, if x is a root of P(x), which means that P(x) = 0, then we can substitute this value of x into the above expression for P(x) to get:

\(0 = (x - x)Q(x)\)

which suggests \(Q(x) = 0\), which.

Thus, if x is a root of P(x), then it must be a root of Q(x). But we have just shown that if x is a root of Q(x), then its complex conjugate x* must also be a root of Q(x). Therefore, x and x* are both roots of Q(x), and hence both roots of P(x).

Therefore, we have proved that if x is a root of a sixth-order polynomial with real coefficients, then x is also a root.

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The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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Answer:

11/7, you just turn or flip the fraction.

Step-by-step explanation: