Pls answer 1 and 2. I need this asap

The fourth term a₄ of the sequence is 29933

From the question, we have the following definition of the function that can be used in our computation:

a₁= 3

aₙ = (aₙ₋₁)² + 4

The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = (3)² + 4

a₂ = 13

Also, we have

a₃ = (13)² + 4

a₃ = 173

Lastly, we have

a₄ = (173)² + 4

Evaluate the equation

a₄ = 29933

Hence, the value of a₄ is 29933

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Using the limit definition of the derivative, you have

\(\displaystyle f'(-5) = \lim_{x\to-5} \frac{f(x) - f(-5)}{x - (-5)} = \lim_{x\to-5} \frac{(2x^2+4x+7) - 37}{x + 5}\)

Simplify the numerator:

(2x ² + 4x + 7) - 37 = 2x ² + 4x - 30

… = 2 (x ² + 2x - 15)

… = 2 (x + 5) (x - 3)

Then

\(\displaystyle f'(-5) = \lim_{x\to-5}\frac{2(x+5)(x-3)}{x+5} = \lim_{x\to-5} 2(x-3) = \boxed{-16}\)

• • •

For your second question in the comments, if f(x) = -2x ² + 3x - 7, then by the definition of the derivative, you have

\(\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{(-2(x+h)^2+3(x+h)-7) - (-2x^2 + 3x - 7)}h\)

Simplify the numerator:

(-2 (x + h)² + 3 (x + h) - 7) - (-2x ² + 3x - 7)

… = (-2x ² - 4xh - 2h ² + 3x + 3h - 7) - (-2x ² + 3x - 7)

… = -4xh - 2h ² + 3h

Now compute the limit:

\(\displaystyle f'(x) = \lim_{h\to0}\frac{-4xh-2h^2+3h}h = \lim_{h\to0}(-4x-2h+3) = \boxed{-4x+3}\)

Answer:

-10

+12

Step-by-step explanation:

-2 * +5   =  -10

-4 * -3  =   +12

Answer:

(-2) x (5) = -10

When multiplying by a negative and a positive the answer will be negative

(-4) x (-3) = 12

When you are multiplying by two negatives: The negatives cancel making it a positive

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

(a) Josh would pay $592.48 for the television at the department store.

(b) Josh would pay $634.8 for the television at the superstore.

(c) Josh would pay less for the television at the department store.

Given:

Wholesale price of television = $529

(a) In the department store,

Television wholesale price is marked up by 40%.

Discount = 20%

Marked price = 529 × ( 1 + 40%)

                      = 529 × (140/100)

                      = $740.6

Selling price = 740.6 × (1 - 20%)

                     = 740.6 × (80/100)

                     = $592.48

(b) In the superstore,

Television wholesale price is marked up by 20%.

Marked price = 529 × ( 1 + 20%)

                       = 529 × (120/100)

                      = $634.8

He must pay the full in-store price.

Selling price = $634.8

Ignoring the tax, he must pay the full price at the superstore which is $634.8.

(c) As the selling price in the department store is less than in the superstore, $592.48 < $634.8.

So, Josh would pay less for the television at the department store.

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The inequality tha calculates the possible values of x is x < 2

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

False 1 ton is 2000 lb

Step-by-step explanation:

Answer:

the unit price would be 8.125

Step-by-step explanation:

9514 1404 393

Answer:

  A. (1, - 3/2)

Step-by-step explanation:

The coordinate of the midpoint is the average of the endpoint coordinates.

  M = (A +B)/2

  M = ((1, 2) +(1, -5))/2 = (1+1, 2-5)/2 = (2, -3)/2

  M = (1, -3/2) . . . . . matches choice A

Answer:

A. (1, - 3/2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is \(\mathbf{H_o : \mu = 15.5}\)

the alternative hypothesis is \(\mathbf{H_a: \mu < 15.5}\)  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

\(Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)\)

\(Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }\)

\(Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }\)

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

\(Z_{0.1} = -1.28\)

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

Answer:

The domain is the value of x for which the function is defined

Domain={x|-6≤x≤8}

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

The slope is 3. graph it every time the line hits an exact point

Step-by-step explanation:

Answer:

\(2\frac{1}{10}\)

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

0.5

Step-by-step explanation:

-20 and -40

quotient means divide one another

-20 / -40

= 20/40

= 2/4

= 0.5

I made these into tiny tiny steps, enjoy.

The translation of  the simplified algebraic expression for "the quotient of -20 and -40" is  \(\dfrac{1}{2}\).

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an algebraic expression .

Example = 4y, 3x+4.

The quotient of -20 and -40 can be written as:

\(\dfrac{-20}{-40}\)

The expression can be simplified in the lowest form as;

\(\dfrac{-20}{-40}\)    =     \(\dfrac{1}{2}\)

So, the simplified algebraic expression for "the quotient of -20 and -40" is  \(\dfrac{1}{2}\).

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The surface area of the cylinder is 905 square centimeters

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

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

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

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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Answer:

\(-\frac{6}{5}\)  or -1.2

Step-by-step explanation:

You can find the slope with just 2 coordinates using the formula \(\frac{2y-y}{2x-x}\)

So first you need to subtract the first y from the second y:

-1-(-7)=6

Then subtract the first x from the second x:

-8-(-3)=-5

Then we can make the slope:

\(-\frac{6}{5}\)  or -1.2

Answer:

( 8, - 2 )

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Her first error is,

C. She made a computational error when multiplying to find the unit price of the two cartons.

We have to given that,

Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.

Here, A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.

And, A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.

Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg

Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg

The 12-egg carton has the lower unit cost, so it is the better buy.

Here, It's first error is,

She made a computational error when multiplying to find the unit price of the two cartons.

Instead of dividing the cost of the 18-egg carton by the number of eggs, she multiplied the cost by 18, which resulted in an incorrect unit price.

Hence, It's first error is,

She made a computational error when multiplying to find the unit price of the two cartons.

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Answer:

y intercept = -41/9

Step-by-step explanation:

y = mx + b

y = -1/9x + b

-5 = -1/9(4) + b

-5 = -4/9 + b

add 4/9 to both sides

-45/9 + 4/9 = b

-41/9 = b

the y intercept is equal to -41/9

linear equation: y = -1/9x - 41/9

The two vertices (-5, 8) and (-5, -6) of the rectangle have the same x-coordinates

The distance between the two vertices is 14 units

The vertices are given as:

(-5, 8) and (-5, -6)

The distance between the two vertices is calculated using:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

So, we have:

d = √[(-5 + 5)^2 + (8 + 6)^2]

Evaluate the sum

d = √196

Evaluate the square root

d = 14

Hence, the distance between the two vertices is 14 units

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Answer: 14

Step-by-step explanation:

Answer:

The  formula for the area of a parallelogram is base x height.

base x height = area

So, I will form an equation.  b (base)  x 3 ft (height) = 18 1/3

Next divide 3 from 18 1/3, so 18 1/3 divided by 3. This equals1 6 1/9

To check: 6 1/9 x 3 = 18.3333333333 or 18 1/3

Step-by-step explanation:

Answer:

y = 4x+2

Step-by-step explanation:

For the lines to be parallel, they need to have the same slope. The line given has a slope of 4 (m=4). We now use this in the point intersect formula

\(y - y_0 = m(x-x_0)\) with the point given (-1,-2). Hence, we get\(y-(-2)= 4(x-(-1))\)

\(y+2=4(x+1)\)

\(y=4x+2\).

To check, you can plug in the point we used and make sure you get the same number on both sides.

EXPLANATION :

From the problem, we need to select statistical questions.

Statistical questions are answered by the collection of data and there is always variability in the data.

It means that the answer must NOT have only one answer.

A. Typical amount of rainfall for the month of June, you are estimating the amount of rainfall which has many data to consider.

YES.

B. Amount of rain yesterday, since we are talking about yesterday, there's only one answer.

NO.

C. Reason why you like to listen to music. It is not answered by the data.

NO.

D. Number of songs usually the class listens to each day, we will have different answers here from day to day.

YES.

E. Number of songs did you listen to today, we are talking about today and it will have one answer only.

NO.

F. Capital of Canada, there's only one answer and it will not vary.

NO.

G. How long does it typically take for 2nd graders to walk around the track, we will have data for this since there are different rates for each 2nd grader.

YES.

ANSWER :

The statistical questions are A, D, and G

Answer:

it is letter c

Step-by-step explanation:

5

Step-by-step explanation:

AB=CD (Opposite sides of a parallelogram are equal)

11x-13=42

11x=42+13

11x=55

x=55/11

x=5

Answer

(x+4)^2x3

Step-by-step explanation:

so x add 4 is obviously x add 4 but since you want to square it you have to put x add 4 in brackets like this

(x+4)

you put the square symbol next to the brackets because you only want to square whats inside the brackets

(x+4)^2

and then you put times 3 so you can multiply everything by it so now its

(x+4)^2x3

Inequality which describes the solid ball of radius 2 centered at (-7, -3, 1) is

 \((x + 7)^2 + (y + 3)^2 + (z - 1)^2\)≤ 4.

The inequality sign is "≤"

Inequality means in between two quantities there is no relation of equality (i.e they are not exactly equal to each other)

As per the given information,

The solid ball of radius 2 centered at (-7, -3, 1) can be described by the inequality:

\((x + 7)^2 + (y + 3)^2 + (z - 1)^2\) ≤ 4

The inequality sign is "≤"

The ball is in spherical in shape boundary of the ball means the outer surface of the ball.

If the point appears on the boundary of the ball then there is equality.

the equation becomes,

\((x + 7)^2 + (y + 3)^2 + (z - 1)^2\)= 4

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