Find the value of x?
75°
11x-2

Answer:

4($6.55)/5

Step-by-step explanation:

If five markers cost $6.55

then equate or cross multiply inorder to get the cost of 4 markers.

4($6.55)/5

The correct 95% confidence interval for the proportion of drivers who react more quickly to the new light is (0.53, 0.67).

To calculate the confidence interval for the proportion of drivers who react more quickly to the new light, we can use the formula:

CI = p ± zα/2 √((p(1-p))/n)

where p is the proportion of drivers who react more quickly to the new light, n is the sample size, and zα/2 is the z-score for the desired confidence level (in this case, 95% corresponds to zα/2 = 1.96).

Substituting the given values, we get:

CI = 0.6 ± 1.96 √((0.6*0.4)/n)

Since we don't know the sample size, we can't calculate the exact confidence interval. However, we can see that the margin of error is proportional to 1/√n, which means that larger sample sizes will result in narrower confidence intervals.

Based on the given answer choices, we can see that the margin of error is 0.07, which corresponds to a sample size of around 200. So, if we assume that the sample size is large enough to use the normal approximation, we can calculate the confidence interval as:

CI = 0.6 ± 0.07

which gives us (0.53, 0.67) as the correct answer.

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According to the recursive definition for the length of a string, the length |001| is 3. The term "recursive" refers to a process that defines something in terms of itself, "length" refers to the number of characters in the string, and "string" is a sequence of characters. In this case, the string "001" has three characters (0, 0, and 1), so its length is 3.

According to the recursive definition for the length of a string, |001| is 3. The length of a string is defined as 0 if the string is empty, and 1 plus the length of the string without its first character if the string is not empty. In this case, the string "001" is not empty, so its length is 1 plus the length of the string "01" without its first character. Since the string "01" is also not empty, its length is 1 plus the length of the string "1" without its first character. Finally, the string "1" is a single character and has a length of 1, so the total length of "001" is 1 + 1 + 1 = 3.
Recursion is the process of calling itself. This process provides a way to break complex problems into simpler processes that are easier to solve. Recursion can be a bit confusing. The best way to determine how it works is to experiment with it.

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Hi! The solubility of PbF₂ in a solution (Ksp =3.60 × 10⁻⁸) containing 0.0450 M Pb²⁺ ions is 2.83 × 10⁻⁴ M F⁻ ions.

To find the solubility of PbF₂ in a solution containing 0.0450 M Pb²⁺ ions, you can follow these steps:
1. Write the balanced equation for the dissolution of PbF₂:
  PbF₂(s) ⇌ Pb²⁺(aq) + 2F⁻(aq)
2. Write the Ksp expression for PbF₂:
  Ksp = [Pb²⁺][F⁻]²
3. Substitute the given Ksp value and the concentration of Pb²⁺ ions:
  3.60 × 10⁻⁸ = (0.0450)[F⁻]²
4. Solve for the concentration of F⁻ ions:
  [F⁻]² = (3.60 × 10⁻⁸) / 0.0450
  [F⁻]² = 8.00 × 10⁻⁷
  [F⁻] = 2.83 × 10⁻⁴ M

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Answer:

44 minutes

Step-by-step explanation:

8/2 is 4, multiply 11 by 4, 44 is your answer

Answer:

44 Minutes

Step-by-step explanation:

if you multiply the amount of time, 11 minutes, by 4, because 8 / 2 is 4, you'll get 44 minutes

Answer:

3-5 over -3-1

Step-by-step explanation:

(1,5)=(x1-y1)

(-3-1)=(x2,y2)

Answer:

25 e books

Step-by-step explanation:

because you multiply the money by 5 which gets you 40. Then you multiply the number of e books by 5 and you get 25.

The weight of the cable Dustin is using would be 58.67 pounds.

As per the given statement, Dustin is using a cable to lift heavy equipment.

His company has a table of the weights of various lengths of cable.

If Dustin needs to use 88 feet of cable, Pounds will this cable weigh:

Let us find the solution to the problem given in the question.

The length of the cable Dustin is using is 88 feet.

Using the table given by his company, the weight of the 88 feet long cable can be determined.

Using the terms given in the question, the solution is as follows:

Dustin needs to use 88 feet of cable, and the weight of this cable can be found from the table given by the company.

If we look at the table, it is evident that there is a weight of 2 pounds for every 3 feet of cable, so the weight of the 88 feet of cable Dustin is using would be:

Pounds of 3 feet of cable = 2 pounds of 3 feet of cable.

Pounds of 1 foot of cable = (2/3) pounds of 1 foot of cable

So, the weight of 88 feet of cable = (2/3) × 88 = 58.67 pounds.

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Question: Dustin is using cable to lift heavy equipment. his company has a table of the weights of various lengths of cable. if dustin needs to use 88 feet of cable, how many pounds will this cable weigh?

Length of cable in feet: 5 15 25 35

Weight of cable in pounds: 24.4 73.2 122.0 170.0

Answer:

15

Step-by-step explanation:

you can easily use this for it a^2 + b^2 = c^2 where x would be c. after you plug everything in, take the square root of what you got for a^2 + b^2, that will give you x

By definition, you know that dilations have a scale factor, this is labeled k. To dilate something in the coordinate plane, multiply each coordinate by the scale factor.

If there is a reduction, then 0 < k < 1.

If there is an enlargement, then k > 1.

So, you have

Therefore, the correct answer is

Answer:

165.7 or 166

Step-by-step explanation:

since the adjacent has already been given which is 113 you have to use the cos ratio to find the hypotenuse

cos47=adjacent/hypotenuse

cos47=113/h

cos47h/cos47=113/cos47

hypotenuse=166

I hope this helps

Answer:

Hypotenuse is 165.689

Step-by-step explanation:

For this question you will be using cosine.

You start solving this problem as C (cosine) = A/H (adjacent over hypotenuse).

COS(47) / 1 = 113/H

Meaning cosine of 47 over 1 is equal to 113 over H (hypotenuse).

Next you cross multiply leaving you with 113/ COS47 = COS47 x H

Next you divide both sides by COS47 x y

and divide 113 by COS47 and get your answer.

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer

Answer:

x \(\geq 11\)

Step-by-step explanation:

x can equal anything -11 and above

Answer:

Option D. m<A = 43, m<B = 55, a = 20

Step-by-step explanation:

1. Determination of angle B.

Angle C = 82

Opposite C (c) = 29

Opposite B (b) = 24

Angle B =?

Using Sine rule, we can obtain the value of angle B as follow:

b/Sine B= c/Sine C

24/Sine B = 29/Sine 82

Cross multiply

29 × Sine B = 24 × Sine 82

Divide both side by 29

Sine B = (24 × Sine 82) /29

Sine B = 0.8195

Take the inverse of Sine.

B = Sine¯¹ (0.8195)

B = 55

2. Determination of angle A.

Angle C = 82

Angle B = 55

Angle A =?

The value of angle A can be obtained as follow:

A + B + C = 180 (sum of angle in a triangle)

A + 55 + 82 = 180

A + 137 = 180

Collect like terms

A = 180 – 137

A = 43

3. Determination of side a (Opposite A)

Angle C = 82

Opposite C (c) = 29

Angle A = 43

Opposite A (a) =?

The value 'a' can be obtained as by using sine rule as illustrated below:

a/Sine A = c/Sine C

a/Sine 43 = 29/Sine 82

Cross multiply

a × Sine 82 = 29 × Sine 43

Divide both side by Sine 82

a = (29 × Sine 43) /Sine 82

a = 20

Therefore,

m<A = 43, m<B = 55, a = 20

Yes, this sample of the trees in the county likely to be representative if each forest is the same size.

Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.

For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.

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Interposition refers to the belief that a state has the right to intervene between the federal government and its citizens to protect them from unconstitutional laws, while nullification is the belief that a state has the power to declare federal laws null and void within its borders.

Interposition and nullification are two theories of state sovereignty that were debated during the early years of the United States. Interposition refers to the belief that a state has the right to interpose itself between the federal government and its citizens to protect them from unconstitutional laws.

On the other hand, nullification is the belief that a state has the power to declare federal laws null and void within its borders. The main difference between interposition and nullification is the extent of state power they propose.

Interposition allows a state to protect its citizens from unconstitutional federal laws, while nullification allows a state to effectively veto a federal law within its borders. While interposition has been recognized as a legitimate theory of state sovereignty.

Nullification has been largely discredited and is not recognized as a valid legal doctrine under the U.S. Constitution.


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Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.

To determine the coordinates of the center and length of the radius of the circle, we need to rewrite the given equation in standard form, which is\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center coordinates and r represents the radius.

Given equation: \(x^2 + y^2 - 12y - 20.25 = 0\)

To complete the square, we need to add and subtract the appropriate terms on the left side of the equation:

\(x^2 + y^2 - 12y - 20.25 + 36 = 36\)

\(x^2 + (y^2 - 12y + 36) - 20.25 + 36 = 36\)

Simplifying further:

\(x^2 + (y - 6)^2 = 55.25\)

Comparing this equation with the standard form, we can identify the following values:

Center coordinates: (h, k) = (0, 6)

Radius length:\(r^2\) = 55.25, so the radius length is √55.25.

Therefore, the center of the circle is located at (0, 6), and the length of the radius is approximately equal to 7.43.

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Answer:

  138°

Step-by-step explanation:

You want the measure of the angle at two tangents when they intercept an arc of 42°.

The short answer is that the exterior angle x is the supplement of the measure of the arc:

  x = 180° -42°

  x = 138°

An exterior angle where secants meet is half the difference of the arcs of the circle they intercept. Here, the secants have been located so the corresponding chord length between the near and far circle intercept points have degenerated to zero. That is, they are tangents.

The angle relation still holds:

  x = (long arc - short arc)/2 = ((360° -42°) -42°)/2 = (360° -2·42°)/2

  x = 180° -42° = 138°

The tangents, together with their associated radii form a quadrilateral. The angles at the tangents are 90°, and the total of all angles is 360°. This gives us the relation ...

  x + 90° +42° +90° = 360°

  x +42° = 180° . . . . . . . . . . . . . subtract 180°

  x = 180° -42° = 138°

(We solved this with an extra step, so you could see the same "supplementary angles" relationship between x and 42°.)

Answer:

m = \(\frac{y-b}{x}\)

Hope this helps!

Step-by-step explanation:

y = mx + b

mx = y - b

\(\frac{mx}{x}\) = \(\frac{y-b}{x}\)

m = \(\frac{y - b}{x}\)

Given:

To Determine: The equation describing the relationship between y and x

Solution:

Step 1: Introduce the constant into the given variation

Step 2: Substitute the given values of y and x to find the constant

Step 3: Substitute k into the equation

Hence, the equation describing the relationship between x and y is

y = 9x

Answer:

Step-by-step explanation:

translate

Answer:

Total number of combination = 32

Step-by-step explanation:

Given:

Number of cars = 3

Number of models = 2.

Number of color = 4

Find:

Total number of combination

Computation:

Total number of combination = [2³ x (2x3) x 4] / !3

Total number of combination = 32

Statement Problem: Calculate the percentage of the income based on the amount used to start the business.

Solution:

The percentage income is;

Thus, we have;

\(f(x) = 4tan(8\pi) + 4sec^2(8\pi)(x - 8\pi) + 8sec^2(8\pi)tan(8\pi)(x - 8\pi)^2/2!\)

This expression represents the first three nonzero terms of the Taylor series expansion for f(x) = 4tan(x) centered at c = 8π.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

To find the first three nonzero terms of the Taylor series for the function f(x) = 4tan(x) centered at c = 8π, we can use the definition of the Taylor series expansion.

The general formula for the Taylor series expansion of a function f(x) centered at c is:

\(f(x) = f(c) + f'(c)(x - c)/1! + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...\)

Let's begin by calculating the first three nonzero terms for the given function.

Step 1: Evaluate f(c):

f(8π) = 4tan(8π)

Step 2: Calculate f'(x):

f'(x) = d/dx(4tan(x))

= 4sec²(x)

Step 3: Evaluate f'(c):

f'(8π) = 4sec²(8π)

Step 4: Calculate f''(x):

f''(x) = d/dx(4sec²(x))

= 8sec²(x)tan(x)

Step 5: Evaluate f''(c):

f''(8π) = 8sec²(8π)tan(8π)

Step 6: Calculate f'''(x):

f'''(x) = d/dx(8sec²(x)tan(x))

= 8sec⁴(x) + 16sec²(x)tan²(x)

Step 7: Evaluate f'''(c):

f'''(8π) = 8sec⁴(8π) + 16sec²(8π)tan²(8π)

Now we can write the first three nonzero terms of the Taylor series expansion for f(x) centered at c = 8π:

f(x) ≈ f(8π) + f'(8π)(x - 8π)/1! + f''(8π)(x - 8π)²/2!

Simplifying further,

Hence, \(f(x) = 4tan(8\pi) + 4sec^2(8\pi)(x - 8\pi) + 8sec^2(8\pi)tan(8\pi)(x - 8\pi)^2/2!\)

This expression represents the first three nonzero terms of the Taylor series expansion for f(x) = 4tan(x) centered at c = 8π.

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Answer:

four sides

Step-by-step explanation:

can be rewritten in if-then form as If a polygon is a quadrilateral, then it has four sides. Write the converse of this statement: If a polygon is a quadrilateral, then it has four sides

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

f(x)=1

Step-by-step explanation:

f(0)=-0+1

   =1

\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

Answer:b

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Each of the small squares has an area of 4 square units

so its length is 2 because 2*2 =4

so 4 small squares = 8 each side