how many terms of the series do we need to add in order to find the sum to the indicated accuracy? 1-1 error < 0.004 ,

Answer:

x = -48

Step-by-step explanation:

The equation is,

→ x/4 = -12

Let's solve for the value of x,

→ x/4 = -12

→ x = -12 × 4

→ [ x = -48 ]

Hence, the value of x is -48.

You have the following system of equations:

y = 9x - 9

y = 9

In order to solve the previous system of equations, replace y = 9 into the first equation and solve for x:

9 = 9x - 9 add 9 both sides and simplify

9 + 9 = 9x

18 = 9x divide by 9 both sides

18/9 = x

2 = x

x = 2

Hence, the solution to the system is x = 2 and y = 9.

Your answer is correct, but your interval is switched up.

You just want ( –infinity, 2).

Interval notation always goes from negative to positive (or "left to right" on the number line).

Answer:

X = 1.09

Step-by-step explanation:

6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.

Answer:

the answer is 7

Step-by-step explanation:

log10(6x)=log10(7)

x•log10(6)=log10(7)

x = log10(7)/log10(6)

this works because of

logb(x y) = y ∙ logb(x)

I figured this out from the internet!!

source:TigerAlegbra

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

3

Step-by-step explanation:

Answer: The last option, or D

Step-by-step explanation:

35x−35y+21

Answer: A

Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test

Answer:

Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality.

The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.

The percent yield of the experiment was calculated to determine the efficiency of the process. The answer will be presented in two paragraphs, with the first summarizing the findings and the second providing an explanation.

The percent yield of a chemical reaction is a measure of the efficiency with which a reaction produces the desired product. In this experiment, a student mixed 100 grams of Substance A with 150 grams of Substance B and collected 120 grams of dried product. To calculate the percent yield, we use the formula: (Actual yield / Theoretical yield) × 100%.

In this case, the actual yield is the amount of dried product collected, which is 120 grams. The theoretical yield is the maximum amount of product that could be obtained based on the amounts of the starting substances and the balanced equation for the reaction. Since the question doesn't provide information about the reaction or the balanced equation, we cannot determine the theoretical yield precisely. However, assuming the reaction goes to completion and all the starting substances are converted into product, the theoretical yield can be estimated.

Let's assume that the reaction is 100% efficient and all of Substance A and Substance B react to form the desired product. In that case, the total amount of starting substances is 100 grams + 150 grams = 250 grams. If the reaction goes to completion, the theoretical yield would be 250 grams. Using the formula for percent yield, we can calculate: (120 grams / 250 grams) × 100% = 48%. Therefore, the percent yield of the experiment is estimated to be 48%, with two significant digits to match the precision of the given data.

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Answer:

23,24,25.

Step-by-step explanation:

Consecutive numbers are numbers following in order. I found them unconventionally by first dividing 72 by 3, which is 24. So if there were 3 24s it would make 72. 23+25 is the same sum as 24+24. Then you add in the middle number, 24 and get 72.

Answer:

The answers are 23, 24, and 25

Step-by-step explanation:

Three consecutive numbers means 3 numbers in a row. So just find three numbers that all add up to 72.

23+24+25=72

The complex number can be written in polar form as 2 + ((2+m) + 3i) = √(m² + 6m + 25)∠tan⁻¹(3/(2+m)).

What is complex number?

A complex number is obtained by adding real and imaginary numbers. Complex numbers have the formula a + ib and are usually symbolized by the symbol z. Here the numbers a and real are both. The value "a" is known as the real component and is denoted Re(z), while "b" is known as the imaginary part and is denoted Im(z). Also known as imaginary number, ib. Hero of Alexandria, a Greek mathematician, first used the idea of complex numbers in the first century when he tried to calculate the square root of a negative integer.

a. A complex number is a number that consists of a real part and an imaginary part, where the imaginary part is the real number multiplied by the imaginary unit "i", defined as the square root of -1. The modulus of a complex number is the distance between the starting point and the point representing the complex number on the complex plane. This can be calculated using the Pythagorean theorem. For example, the real part of the complex number z = 3 + 4i is 3 and the imaginary part is 4, and its modulus is √(3²+4²)=5.

b. Let z = a + bi be a complex number, where a and b are real numbers. The modulus of z is defined as |z| = √(a² + b²). Therefore, for the complex number z = 1 + 2i, the modulus is |z| = √(1² + 2²) = √5.

c. To write the complex number 2 = ((2+ m) + 3i) in polar form, we need to find the modulus and argument of the complex number. The modulus is |2 + ((2+m) + 3i)| = |4 + mi + 3i| = √(4² + (m+3)²) = √(m² + 6m + 25). The argument is given by tan⁻¹(Im/Re) = tan⁻¹(3/(2+m)), which gives us the angle that the complex number makes with the positive real axis. Therefore, the complex number can be written in polar form as 2 + ((2+m) + 3i) = √(m² + 6m + 25)∠tan⁻¹(3/(2+m)).

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Step-by-step explanation:

\(3 \times x\)

\(3x\)

Answer:

120x + 45y ≥ 2,500

Answer:

x = 59.036°

Step-by-step explanation:

tan (BÂC) = BC/AB

tan= opposite/ adjacent

Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB

tan(x)=5/3

x= tan^-1 (5/3)

x= 59.036°

To find the equation of the tangent plane to the surface z = ln(x - 7y) at the point (8, 1, 0), we need to determine the partial derivatives of z with respect to x and y at that point.

First, let's find the partial derivative ∂z/∂x:

∂z/∂x = 1/(x - 7y)

Next, let's find the partial derivative ∂z/∂y:

∂z/∂y = -7/(x - 7y)

Now, let's evaluate these partial derivatives at the point (8, 1, 0):

∂z/∂x = 1/(8 - 7(1)) = 1/(8 - 7) = 1

∂z/∂y = -7/(8 - 7(1)) = -7/(8 - 7) = -7

At the point (8, 1, 0), the partial derivatives are ∂z/∂x = 1 and ∂z/∂y = -7.

The equation of a plane can be expressed as:

z - z0 = (∂z/∂x)(x - x0) + (∂z/∂y)(y - y0)

Using the values we calculated:

z - 0 = 1(x - 8) + (-7)(y - 1)

Simplifying, we get:

z = x - 8 - 7y + 7

Rearranging terms, the equation of the tangent plane to the surface at the point (8, 1, 0) is:

z = x - 7y - 1

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Answer:

where is the prism? did u attach a photo of it

The other sides of the new triangle are  13, 26 and 26 inches as calculated by the properties of similarity.

We know that when two triangles are similar then the ratio of the sides are also equal.

Let the original triangle be ΔABC and the new triangle be ΔXYZ

So from the property of similarity.

AB/XY = BC /YZ = CA/ ZX

Now it is given AB = 3 inches

XY = 13 inches

Hence AB/XY = 13/3

Hence YZ = 13 / 3 × 6 =26 inches

Again ZX = 26 inches

Similar triangles have parallel sides that are proportional to one another and parallel angles that are identical to one another.

Triangles can have different diameters despite having comparable exteriors. Triangles that are congruent and similar to each other usually don't match up.

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Answer:

Step-by-step explanation:

Cos(theta) = adjacent / hypotenuse.

Adjacent = 29

Hypotenuse = 31

Cos(theta) = 29/31

Cos(theta) = 0.5355

theta= cos-1(0.5355)

theta = 20.69

Answer: (Rounded) = 21

25 Degres it is a obtuse angle using the dewy decimal system

Answer:

The person above me is correct

25

Step-by-step explanation:

The arc AB in degrees is equal to \((2π*11.5)/360,\) which is equal to 1.04 radians. In degrees, this is equal to 59.7 degrees, which can be rounded to 59.8 degrees.

The length of the arc in degrees can be calculated by taking the ratio of the circumference of the circle to the total circumference of the circle. The circumference of the circle is equal to 2π times the radius, and the total circumference of the circle is equal to 360 degrees. Therefore, the ratio of the arc AB to the circumference of the circle is equal to the arc AB in degrees divided by 360. The radius of the circle is equal to half the diameter, so the radius of the circle is equal to 11.5 meters. Therefore, the arc AB in degrees is equal to (2π*11.5)/360, which is equal to 1.04 radians. In degrees, this is equal to 59.7 degrees, which can be rounded to 59.8 degrees.

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The procedure the researcher will use is called stratification sampling.

A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.

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Answer:

5x-7=24   x=6.2

Step-by-step explanation:

5*6.2-7=24

Answer:

6.2

Step-by-step explanation:

Step 1:

5x - 7 = 24     Equation

Step 2:

5x = 31   Add 7 on both sides

Step 3:

31 ÷ 5    Divide

Answer:

x = 6.2

Hope This Helps :)

For a z-score, We  transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions i.e. D.

What exactly is the z-score?

The z-score is a statistical measurement that describes a value's relationship to the mean of a collection of values. The z-score formula is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The sum of a collection of numbers divided by the total number of numbers in the set is known as the arithmetic mean, sometimes known as the arithmetic average or simply the mean or average. A survey, experiment, or observational research is usually used to create the collection.

Now,

As Z-scores are standardized scores that identify and define each score's exact placement within a distribution. We may conduct meaningful comparisons of z-scores across various samples or groups by converting our data (raw score).

hence,

          We transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions.

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Answer:

891

Step-by-step explanation:

v=bh which is base-9x11=99 height=9 so,

v-99x9=891

Answer:

It's the bottom one.

Step-by-step explanation:

number one makes no snese because inside of you there is no light

number two, heat and thermal are the same thing

number three, there isn't really potential energy inside you, not in the process of the energy transformation of food.

The bottom one makes the most sense because if you think about all of the steps, it goes chemical (stomach acid), there is also some heat in there, and then mechanical when the food moves from place to place

Answer:

The answer is D

Step-by-step explanation:

The time complexity of this algorithm is O(n), where n is the number of nodes in the linked list. The space complexity is O(1), since we are only using two pointers to traverse the list.

The problem can be solved using Floyd's cycle-finding algorithm, also known as the "tortoise and hare" algorithm. The algorithm uses two pointers, a slow pointer and a fast pointer, to traverse the linked list. The slow pointer moves one step at a time, while the fast pointer moves two steps at a time. If there is a cycle in the linked list, the fast pointer will eventually catch up to the slow pointer, and they will meet at some node.

Here's a Python implementation of the algorithm:

```
class ListNode:
   def __init__(self, val=0, next=None):
       self.val = val
       self.next = next

def hasCycle(head):
   if not head:
       return False
   slow = head
   fast = head.next
   while slow != fast:
       if not fast or not fast.next:
           return False
       slow = slow.next
       fast = fast.next.next
   return True
```

We start by initializing two pointers, slow and fast, to the head of the linked list. We then move the slow pointer one step at a time and the fast pointer two steps at a time. If there is a cycle in the linked list, the fast pointer will eventually catch up to the slow pointer, and they will meet at some node. If there is no cycle, the fast pointer will reach the end of the list and the loop will terminate.

The time complexity of this algorithm is O(n), where n is the number of nodes in the linked list. The space complexity is O(1), since we are only using two pointers to traverse the list.

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The number of hours will they take to do the job is 2. Below is the solution:

2(1/8) + 3(1/12) = 1/x

1/4 + 1/4 = 1/x

1/2 = 1/x

x = 2