hi can you please help me, please ​

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

In the number 89.567, the least value is 0, which is the least value of the decimal part of the number. The integer part of the number, which is 89, is greater than 0, so the least value in the number is in the decimal part.

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Answer:

11

Step-by-step explanation:

A triangle has 3 sides.

Add up all the sides to get the perimeter.

So.... divide the perimeter (33) by the number of sides (3) and you get the length of each side. (11)

\(33/3 = 11\)

We can check this by using the perimeter of a triangle formula. \(P = a + b +b\)

\(P = 11+11+11\)

\(P = 33\)

Answer:

5 months

Step-by-step explanation:

Create an Equation:

m=months

Joe- 40m

Mike- 20m +100

Make each equation equivalent:

40m=20m+100

Solve:

40m-20m=100

20m=100

m=5

If you plug it back in, the equation is satisfied:

40(5)=20(5)+100

200=100+100

200=200

To obtain the surface area of a triangular prism, the formula to employ is:

From the image, a=18in, b=21in, c =15in and h=12in

We have to obtain the value of 's' first, from the equation:

The final step is to obtain the area of the triangular, having gotten the values needed to be inputted in the formula;

Hence, the surface area of the triangular prism is 912.54 square inches

The image of point P(14, -10) under  the translation rule   T (x, y) = (x - 11, y + 7) is  P' = (3, -3)

Applying the translation given translation rule which is stated as

T(x, y) = (x - 11, y + 7) to the point P(14, -10),

we get

P' = (14 - 11, -10 + 7) = (3, -3)

Therefore we can say that, the image of point P(14, -10) under  the translation T (x, y) = (x -11, y + 7) is  P' = (3, -3)

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Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p

Answer:

The equation of a line in the form of y = mx + b, where m is the slope, x is the variable and b is the y-intercept.

Given a point and the slope, we can find the equation of the line that passes through that point. We know that the slope of the line is 0, so we can write the equation of the line as:

y = 0x + b

We also know that the line passes through the point (-3,-8), so we can substitute these values into the equation and solve for b, the y-intercept:

-8 = 0(-3) + b

-8 = 0 + b

b = -8

So the equation of the line that passes through the point (-3,-8) and has a slope of 0 is:

y = 0x - 8

This line is a horizontal line with y-intercept -8, which means that the line passes through the point (0,-8)

Answer:

-1 and 7

Step-by-step explanation:

-1 x 7 = -7

-1 + 7 = 6

Both outcomes are true with these two numbers.

Answer:

The answer is 96

Step-by-step explanation:

Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.

The range of the interval where p-value 0.2514 lies is given by option a. 0.2001 to 5000.

To find the p-value for the test,

calculate the z-score and then use the z-table or a calculator to find the corresponding p-value.

The z-score is calculated using the formula,

z = (sample mean - population mean) / (population standard deviation / √(sample size))

here,

Sample mean (X) = 798 hours

Population mean (μ) = 800 hours

Population standard deviation (σ) = 20 hours

Sample size (n) = 36

Substituting these values into the formula, we have,

z = (798 - 800) / (20 /√(36))

= -2 / (20 / 6)

= -2 / 3

= -0.67

Now, the p-value associated with the z-score of -0.67  use a calculator.

Using a z-calculator,

The area to the left of -0.67 is approximately 0.2514.

However, since we are testing the hypothesis that the mean lifetime of light bulbs is less than 800 hours (one-tailed test),

The area to the left of -0.67.

The p-value is 0.2514.

Therefore, the interval contains the p-value is given by option a. 0.2001 to 5000

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Answer:

198 students walk to the local high school

Step-by-step explanation:

Total number students = 825

1/5 of the students travel by car

48% of the students travel by bus

0.08 of the students travel by bicycle

To find the number of students who wal to school we have to find the exact number of students who travel to school by car, bus and bicycle and subtract the result from the total number of students

Students who travel by car = 1/5×825

= 165 students

Students who travel by bus = 48% × 825

= 48/100 × 825

= 12/25 × 825

= 396 students

Students who travel by bicycle = 0.08 × 825

= 66

So now we add the results fo the equations above and subtract it from the total number of students to get the number of students that walk to school

Students that walk to school = 825 - (165 + 396 + 66)

= 825 - 627

= 198 students

Therefore 198 students walk to the local high-school

Yes, 72 is divisible by 12.

To determine if a number is divisible by another number, we need to check if the first number can be divided evenly by the second number, with no remainder. In other words, if we divide the first number by the second number, the result must be a whole number.

In this case, if we divide 72 by 12, we get:

72 ÷ 12 = 6

Since 6 is a whole number, 72 is divisible by 12.

Another way to check if a number is divisible by 12 is to check if it is divisible by both 3 and 4. 72 is divisible by 3 because the sum of its digits (7 + 2) is 9, which is divisible by 3. 72 is also divisible by 4 because its last two digits (72) form a number that is divisible by 4. Since 72 is divisible by both 3 and 4, it is divisible by 12.

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The simplified expression has the result given as follows:

1.25 x 10^-5.

A number in scientific notation is given as follows:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\), meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.

Hence the base of the simplified expression is given as follows:

9.6 x 7.5/2.4² = 12.5 = 1.25 x 10.

The exponent is obtained as follows:

(-6 - 10 - (-10)) = -6.

(multiplication adds the exponent, division subtracts).

Hence the simplified expression is given as follows:

1.25 x 10 x 10^-6 = 1.25 x 10^-5.

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Therefore , the solution to the given problem of equation comes out to be the cost of carpet is $2072.

An equation is referred to as linear when all of the highest powers of the variables are equal to one. The components are interconnected. This kind of issue is also known as a one-degree equation. Learn how to solve a linear equation in one or two variables using the standard form, formula, graph, and instructions in the following paragraphs.

Here,

Given :

floor area of a square feet is 50a + 12h,

where h is the number of hours

Thus.

At t =6 and a =40

So ,

the cost of carpet

=> Cost =  50a + 12h

=> Cost =  50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

Therefore , the solution to the given problem of equation comes out to be the cost of carpet is $2072.

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0.4

The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.

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Answer: Area of a trapezoid is 1/2 x (b1+b2) x height

Step-by-step explanation:

The trig function that should be used to solve for x in the image is: C. Tangent (Tan).

We can correctly set up our trig equation to solve for x in the image as: 1. Tan37 = x/12.

The value of x is equal to: C. 9.04.

The trig function that should be used to solve for x in the image is: C. Cosine (Cos).

We can correctly set up our trig equation to solve for x in the image as: 2. Cos50 = 8/x.

From the image attached above, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:

Opposite side = x.

Adjacent side = 12.

Therefore, we would determine the value of x by using Tan trigonometric function:

Tanθ = Opposite side/Adjacent side

Tan37 = x/12

x = 12Tan37

x = 9.04 units.

For the second image, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:

Hypotenuse = x

Adjacent side = 8.

Therefore, we would determine the value of x by using Cos trigonometric function:

Cosθ = Adjacent side/Hypotenuse

Cos50 = 8/x

x = 8/Cos50

x = 12.45 units.

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Answer:

35

Step-by-step explanation:

6 x 5 = 30

We can assume each seed packet has 5 seeds

6 x 7 = 35

Answer:

The answer to this interesting riddle is Zebra.

Answer:

Step-by-step explanation:

The order of the transformations affects the values used for translation. Here, the translation is described before the reflection and compression.

__

The grayed-out graph of the square root function opens to the right. The darker graph of the transformed function opens to the left, so the reflection is across the y-axis.

__

The square root function goes through the point (1, 1), that is, 1 unit right of the vertex, and 1 unit up. The transformed function goes through the point (1, -1/2), that is, 1 unit left of the vertex and 1/2 unit up. The vertical height of 1 unit on the original graph is compressed to a height of 1/2 unit on the transformed graph. Vertical compression is by a factor of 1/2.

__

The description of the transformation gives the translation before the reflection and compression. So, to find where the uncompressed and unreflected vertex is, we need to reverse those transformations.

Expanding the transformed square root graph by a factor of 2 will undo its compression by a factor of 1/2. That will move the vertex from (2, -1) to (2, 2×(-1)) = (2, -2).

Reflecting this expanded function back across the y-axis will undo the original reflection. That moves the vertex from (2, -2) to (-2, -2). This is where the original translation left the function's vertex before the reflection and compression moved it to the location shown.

The translation is right -2 and down 2.

_____

Additional comment

It is possible that you will get pushback on these answers. If so, you should have your teacher demonstrate the transformations in the order described.

__

In the order described, we have ...

  \(f(x)=\sqrt{x}\\\\f_1(x)=\sqrt{x-(-2)}=\sqrt{x+2}\qquad\text{translation right -2}\\\\f_2(x)=\sqrt{x+2}-2\qquad\text{translation down 2}\\\\f_3(x)=\sqrt{-x+2}-2\qquad\text{reflection in the y-axis}\\\\g(x)=\dfrac{1}{2}(\sqrt{-x+2}-2)\qquad\text{compression vertically by $\dfrac{1}{2}$}\)

The attached graph shows the result of this sequence of transformations.

__

If the reflection and compression were done before the translation, then the translation would be 2 right and 1 down.

Answer:

7.92 m.

Step-by-step explanation:

Mean height = ∑(f . x) / ∑f  where  x is the midpoint and f the frequencies

The midpoints for the heights are:

2 for frequency 8              ( 0 + 4)/ 2 = 2

6 for      ..           21

10 for    ..            12

14 for    ..              7

18 for   ..               2

So the mean is:

[(2*8) + (6*21) + (10*12) + (14*7) + (18*2) ] / (8 + 21+12+7+2)

= 396 / 50

= 7.92 m.

Answer: 9/12 is equivalent to 3/4.

Explanation: 3 times 12 = 36 and 4 times 9 = 36.

Hope this helps!

25. B or 25

26. A or 20

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

1

-7x

Step-by-step explanation:

the rule of indices states that any thing raised to power of - 1 is 1 over the number. (e.g: 8^ -1 = 1/8 or 7^ -2 = 1/7²

therefore;

(-7x)‐¹ = 1

-7x

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Answer:

- \(\frac{1}{7x}\)

Step-by-step explanation:

using the rule of exponents

\((a)^{-1}\) = \(\frac{1}{a}\) , then

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

Answer:

y = \(\frac{2}{3}\) x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (  m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 6, 0 ) and (x₂, y₂ ) = (0, 4 ) ← 2 points on the line

m = \(\frac{4-0}{0-(-6)}\) = \(\frac{4}{0+6}\) = \(\frac{4}{6}\) = \(\frac{2}{3}\)

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = \(\frac{2}{3}\) x + 4 ← equation of line

The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

The relative minima and maxima is calculated

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

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