Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answer:

like

Step-by-step explanation:

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.

In the given question, consider a stick of length 1.

We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.

We then repeat the same process on the piece that we were left with.

We have to find expected length of the piece that we are left with after breaking twice.

In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.

We also have to calculate the variance Var(Y).

Following Laws are used in the solution

Law of Iterated Expectations: E[X] = E[ E[X|Y] ]

& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])

Now, Y = Length of the stick after we break it the first time

and X = length of the stick after we break it the second time

As both the distribution is uniformly distributed.

Now, E[Y] = L/2 and Var(Y)= l^2/12

E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12

As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12

Using Law of Iterated Expectations

E[X] = E[ E[X|Y] ]

E[X] = E[ y/2 ]

E[X] = \int_{L}^{0}

E[X] = L/4

Now using Law of Total Variance

Var(X) = E[Var(X|Y)]+Var( E[X|Y] )

Var(X) = E[y^2/12]+Var(y/2)

Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)

Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)

Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)

Var(X) = 7L^2/144

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Answer: -3.7

Step-by-step explanation:

Step 4 is wrong 6.1 - 9.8 = -3.7

The quotient in polynomial form is C. x² - x ₊ 1.

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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Answer:

Step-by-step explanation:

Let x represent the number of cups of coffee. The total outlay was ...

  1.55x + 1.00(8 -x) = 11.30

  0.55x = 11.30 -8.00 . . . . . . simplify, subtract 8

  x = 3.30/0.55 = 6 . . . . . . . divide by the coefficient of x

Nathan buys 6 cups of coffee and 2 cups of hot chocolate.

Answer:

k = -1/2

Step-by-step explanation:

|6k + 12| + 9 =9

6k + 12 = 9-9

6k + 12 = 0

6k = -12

k = -1/2

The expression of the remaining time is 8 - b

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

Total distance between the house and the school = 8 blocks

Distance walled towards home = b blocks

The above parameters can be represented as

Distance walled towards home + Remaining distance = Total distance between the house and the school

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

b + Remaining distance = 8

Evaluate the like terms

Remaining distance = 8 - b

Hence, the expression is 8 - b

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To find the margin of error, we can use the formula: E = z√((p(1-p))/n)

where z is the z-score for a 99% confidence level, p is the sample proportion, and n is the sample size.

From the table of standard normal distribution, the z-score for a 99% confidence level is 2.576.

Plugging in the values, we get:

E = 2.576√((0.696(1-0.696))/664) ≈ 0.0385

So the margin of error is 0.0385.

To find the confidence interval, we can use the formula:

p ± E

where p is the sample proportion and E is the margin of error.

Plugging in the values, we get:

0.696 ± 0.0385

So the 99% confidence interval for the true proportion of all Americans that say "the future of the nation is a significant source of stress for me" is (0.6575, 0.7345). In interval notation, this can be written as [0.6575, 0.7345].

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You have to find three consecutive odd integers whose sum is equal to three.

Let "x" represent the first odd integer.

Then "x+2" will represent the next odd integer.

And "x+4" will represent the third consecutive odd integer.

As mentioned, the sum of the three integers adds up to 3 so that:

From this expression, you can calculate the value of the first integer "x".

-Erase the parentheses, order the like terms and s

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

Step-by-step explanation:

If you multiply 7.2 x 7.2 then you say + 8 * 8 is 64 plus 64 equal to 115

Both parts of this question use the fact the angles opposite congruent sides in a triangle are congruent.

Part (a)

\(m\angle Q=\frac{180^{\circ}-40^{\circ}}{2}=70^{\circ}\)

Part (b)

The triangle is equilateral, so \(m\angle M=60^{\circ}\).

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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Answer:

The calculated value z= 0.0063 does not  fall in the critical region  so we fail to reject the null hypothesis. And accept that the valve does not perform above the specifications.

Step-by-step explanation:

Given that

Population mean= μ = 8.0

Sample mean= x`= 8.1

Sample size= n= 250

Sample standard deviation= s= 1.00

Significance level= ∝ =0.01

The null hypothesis and alternate hypothesis are  

H0: μ < 8.0

Ha: μ ≥ 8.0  One tailed test

The claim is that the valve perform above the specifications

The critical value at 0.01 significance level for one tailed test is z > ±2.33

The test statistic z is used

z= x`- μ/ σ/√n

Z= 8.1-8.0/ 1/√250

z= 0.1/1/15.811

z= 0.0063

The calculated value z= 0.0063  does not fall in the critical region  so we fail to reject the null hypothesis.

Answer:

39960

Step-by-step explanation:

first you have to divide how much money they made by the products to find the base price of each product so 13,000 / 325 which has a quotient of $40 per product then you multiply 40 by 999, so 40 x 999 has a product of 39960

Answer:

0 cavities

minimum is 0 cavities. there are people having 0 cavities. see the graph.

hope it helps!

Answer:

0

Step-by-step explanation:

The minimum is the smallest value in the dataset. The smallest number of cavities is 0.

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Answer:

$3

Step-by-step explanation:

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Answer:

Length = 13

Step-by-step explanation:

P = 2L + 2W

L = 4W + 1

P = 32

32 = 2(4W +1)  + 2W

32 = 8W + 2 + 2W

30 = 10W

W = 3

L = 4(3) + 1

L = 12 + 1

L = 13

The length of a rectangle is 13  feet.

It is required to find the length of a rectangle.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

Let the width be W.

Length =4W+1

Perimeter = 32 feet

We know that Perimeter of a rectangle=2(Length+ width)

According to given question we have,

P = 2L + 2W

L = 4W + 1

P = 32  feet

32 = 2(4W +1)  + 2W

32 = 8W + 2 + 2W

30 = 10W

W = 3  feet

L = 4(3) + 1

L = 12 + 1

L = 13  feet

Therefore, the length of a rectangle is 13  feet.

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Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

The inverse of a function may not always be a function! The original function must be a one-to-one function to guarantee that its inverse will also be a function.

If the graph does not pass the Horizontal Line Test, then the graphed function's inverse will not itself be a function

Answer:

H0 : μ = 60000

H1 : μ ≠ 60000

Test statistic = 3.464

Step-by-step explanation:

Given :

Sample mean salary, xbar = 80000

Sample standard deviation, s = 10000

Population mean salary , μ = 60000

Sample size, n = 3

Hypothesis :

H0 : μ = 60000

H1 : μ ≠ 60000

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (80000 - 60000) ÷ (10000/√(3))

T = 20000 / 5773.5026

T = 3.464

The Decison region :

If Tstatistic >Tcritical

Tcritical at 10%, df = 2 ; two - tailed = 2.9199

Tstatistic > Tcritical ; He

First, let's expand the inside expression.

4th root [ x^4 * x^4 * x^2 ]

Then, we need to determine how many x^4s we can take the 4th root of. In this case, that is 2. So, the 4th root of x^4 is x.

x * x is x^2

ANSWER: x^2( 4th root [ x^2 ] )

(Option 1)

Hope this helps!

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

y= 5x + 4

Step-by-step explanation:

slope ontercept

Answer:

I think its 5x + 4 if I did it right

The given table is

Jump (x) Height (y)

1 0.5

2 0.9

3 1.6

4 2.9

To graph this data, we are going to call x the jumps and y heights. Having said that, the point we need to graph are (1, 0.5), (2, 0.9), (3, 1.6) and (4, 2.9).

(a) Graph

(b) As you can see in the graph above, the behaviour of the relationship between each jump and its height is not linear. However, such a relationship is increasing, because the more jumps, higher distance Chari reaches.

(c) Actually, it would make sense to limit the maximum and the minimum of a function to model this relationship between jumps and height, because Chari can't just jump an infinite distance, she has certain limits to reach.

The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

The equation is given as:

y = 3^x

Let x = 0, 1 and 2

y = 3^0 = 1

y = 3^1 = 3

y = 3^2 = 9

So, we have the following ordered pairs (0,1), (1,3) and (2,9)

Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)

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Answer:

2nd one is the equation.8x=2

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:7·10^(-9), or

   7

----------

10^9

Step-by-step explanation:

Multiply 3.5 and 2 together, obtaining 7.

Then add the exponents -6 and -4, obtaining -10.

The product is thus 7·10^(-10), or, after simplification,

7·10^(-9), or

   7

----------

10^9