8.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Use the roster method to write each of the given sets. the set of natural numbers x that satisfy x + 6 = 5.

There is no set of natural numbers of x that satisfy the condition for x+6=5

Roster method is nothing but listing the items of a set inside brackets, the roster method provides a means to display the set's components.

For Example, A={1,2,3,4,5}

The Natural numbers is the category of numbers known as "natural numbers" (n) contains only positive values. They are used in numerical ordering and counting.

They are {N=0,1,2,3,4,......}

Here, x+6=5

Only an integer can meet the condition from the given parameters. This is because an integer has two possible values: positive and negative.

i.e

By adding (-6) to both sides, we have:

x+6-6=5-6

x=-1

Therefore here only one integer satisfy the equation x+6=5 that is {-1} but -1 is not a natural number.

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Answer: Yes it is proportional

Step-by-step explanation: First I used two points on paper and used the formula y2-y1/x2-x1 and used these two points (20,100) and (15,175) and got -15, And finally it is proportional at a negative rate!

Hope This helps owo

The solution to the equation is x = 38

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

1/3|x - 8| = 10

Multiply through by 3

So, we have

|x - 8| = 30

Remove the absolute bracket

So, we have

x - 8 = 30

Add 8 to both sides of the equation

So, we have

x = 38

Hence, the solution to the equation is x = 38

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Answer:

AB and CD are congruent.

Step-by-step explanation:

Given points:

To determine if AB and CD are congruent, calculate the length of the two lines using the distance formula.

[tex]\boxed{\begin{minipage}{7.8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]

[tex]\begin{aligned}\implies AB & = \sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& = \sqrt{(2-4)^2+(6-1)^2}\\& = \sqrt{(-2)^2+(5)^2}\\& = \sqrt{4+25}\\& = \sqrt{29}\end{aligned}[/tex]

[tex]\begin{aligned}\implies CD & = \sqrt{(x_D-x_C)^2+(y_D-y_C)^2}\\& = \sqrt{(-4-(-2))^2+(-3-2)^2\\& = \sqrt{(-2)^2+(-5)^2}\\& = \sqrt{4+25}\\& = \sqrt{29}\end{aligned}[/tex]

Therefore, as AB = CD, we can conclude that AB and CD are congruent.

A) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ exactly​ three is;

P(X = 3) = 0.2397

B) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ at least​ four is;

P(x ≥ 4) = 0.50748

C) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ less than eight is;

P(x < 8) = 0.99051

The formula for binomial Probability distribution is;

P(X = x) = ⁿCₓ * p^(x) * (1 - p)^(n - x)

We are told that 36​% adults favor the use of unmanned drones by police agencies. Thus;

p = 30% = 0.3

sample size; n = 12

A) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ exactly​ three is;

P(X = 3) = ¹²C₃ * 0.3³ * (1 - 0.3)^(12 - 3)

P(X = 3) =  ¹²C₃ * 0.3³ * 0.7⁹

P(X = 3) = 0.2397

B) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ at least​ four is;

P(x ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + P(11) + P(12)

P(x ≥ 4) = 0.50748

C) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ less than eight is;

P(x < 8) = 1 - (P(8) + P(9) + P(10) + P(11) + P(12))

P(x < 8) = 1 - 0.00949

P(x < 8) = 0.99051

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The surface area of the tank is 7038 square inches

The surface area can be calculated as follows

The diameter is 28 inch

radius= diameter/2

= 28/2

= 14

Height= 66 inch

The surface area can be calculated as follows

2πrh + 2πr²

= 2(3.142)(66) + 2(3.142)(14²)

= 5806+2(616)

= 5806+1232

= 7038 square inches

Hence the surface area of the tank is 7038 square inches

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Answer:the problem is kinda confusing on the (three-cent five-cent and 10-cent lollipops) part ) but if she needs to spend 1$ exactly the answer is 14( reason show below.)

Step-by-step explanation

First I did

(3x5=15)

then I did

(15x4=60)

Then

60+15+15=90

Lastly

90+5+5=100(aka 1$)

In conclusion she can buy 14

The graph of the quadratic equation is shown in the image attached below.

In accordance with algebra fundamental theorem, we can construct a quadratic equation by knowing the locations of at least three points on Cartesian plane. Herein we find a quadratic equation in vertex form, whose formula is described below:

y - k = C · (x - h)²

Where:

By using this expression, we can find the locations of the vertex and intercepts of the parabola. Now we proceed to find all the required information:

Vertex

y = (x + 5)²

(h, k) = (- 5, 0)

x-Intercepts

(x + 5)² = 0

x = - 5

y-Intercept

y = (0 + 5)²

y = 25

Another point

x = - 1

y = (- 1 + 5)²

y = 4²

y = 16

Finally, we mark the three points on the Cartesian plane and pass a curve through them. The result is shown in the image attached below.

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Answer:

f(1/x)=5+3x/6+7x ; 9(x-2)=[tex]\sqrt{x} ^2-8x+12[/tex] the [tex]\sqrt{x}[/tex] goes over the -8x+12

7 is greater than 21 times by 147 (7x21).

Greater than denotes that a variable or number exceeds a specified upper limit. Conversely, greater than or equal to indicates that the value is greater than or equal to the specified limit. The greater-than symbol is denoted by the prefix >, while the greater-than or equal-to sign is denoted by the prefix.

The symbols greater than and less than signify a disparity between two values. ">" and "" are used to indicate greater than and less than, respectively. Find more mathematical symbols right here.

The number 2 is 5 more than the number -3. Detailed explanation: Any natural number, including zero and both positive and negative numbers, is an integer.

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Answer:51.25

Step-by-step explanation:

Answer:

85+75+160=v

Step-by-step explanation:

correct answer

The number of pounds of steak she buys is 0.82 pounds

From the question, we have the following parameters:

3.5 pounds of steak = $36.75

From the question, we understand that

Hannah spent $8.61 on steak

This means that

x pounds = $8.61

So, we have the following system of equations

3.5 pounds of steak = $36.75

x pounds = $8.61

Cross multiply in the above equation

So, we have

36.75 * x = 3.5 * 8.61

Divide both sides of the equation by 36.75

x = 3.5 * 8.61/36.75

Evaluate the quotient

x = 0.82

Hence, the number of pounds of steak she buys is 0.82 pounds

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Answer:

Step-by-step explanation:

30.8%

Explanation- Did the maths

Step-by-step explanation:

2 cups of sugar mix with 7 cups of water.

so, 2/2 = 1 cup of sugar mixes therefore with 7/2 = 3.5 cups of water.

and 5 cups of sugar (= 5×1 cups) mix with 5×3.5 = 17.5 cups of water.

not 21. not 28. it is 17.5 cups of water !

Answer:

Team A scored 12 pts

Team B scored 17 pts

Step-by-step explanation:

If n= -1

input -1 for n in the equation

e.g. 3(-1)³-4(-1)

From there solve for n and you should get -23n

Answer:

Step-by-step explanation:

The area of a triangle is equal to half the product of the base by the height drawn to that base

Hence,

1)

[tex]\displaystyle\\S_\triangle=\frac{1}{2}(4)(1.5)\\\\S_\triangle=2(1.5)\\\\S_\triangle=3 \ square\ inches[/tex]

2)

[tex]\displaystyle\\S_\triangle=\frac{1}{2}(16)(9.4)\\\\S_\triangle=8(9.4)\\\\S_\triangle=75,2 \ square\ km[/tex]

3)

The area of a trapezoid is equal to the product of the half sum of the trapezoid bases by the height

Hence,

1 ft=12 in

[tex]\displaystyle\\S_{trapezoid}=\frac{a+b}{2}h \\\\S_{trapezoid}=\frac{16.8+33.6}{2}(12)\\\\ S_{trapezoid}=\frac{50.4}{2} (12)\\\\S_{trapezoid}=25.2(12)\\\\S_{trapezoid}=302,4 \ square \ inches[/tex]

4)

[tex]\displaystyle\\S_{trapezoid}=\frac{7.9+2.3}{2}(4.6)\\\\S_{trapezoid}=\frac{10.2}{2}(4.6)\\\\ S_{trapezoid}=5.1(4.6)\\\\ S_{trapezoid}=23.46\ square\ meters[/tex]

5)

The area of a rectangle is equal to the length times the width of its sides

Hence,

[tex]S=ab\\\\S=6(5.1)\\\\S=30.6\ square\ meters[/tex]

6)

[tex]S=6(4)-2(4-3)\\\\S=24-2(1)\\\\S=24-2\\\\S=22 \ square\ cm[/tex]

Answer:

1. 7/2

Hope this helps a little. :)

Answer: (5, -6)

Step-by-step explanation:

I'm not really 100% sure if i can put in detail but this is the correct answer

The linear equation that passes through (-1, 8) and (5,-2) is:

y = (5/3)*x + 29/3

A general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If we know that this line passes trhough the points (-1, 8) and (5, -2) then we can write the slope as:

a = (-2 - 8)/(5 + 1) = -10/6 = 5/3

Then we can write:

y = (5/3)*x + b

Now to find the value of b we can replace the values of one of the points in the line, if we use (-1, 8) we will get:

8 = (5/3)*-1 + b

8 + 5/3 = b

24/3+  5/3 = b

29/3 = b

We conclude that the linear equation is:

y = (5/3)*x + 29/3

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160?

Step-by-step explanation:

Answer:

5, -35, 3.75, 4a + 4b + 5

Step-by-step explanation:

1. f(0) = 3(0)^2 - 2(0) + 5 = 5

2. f(-4) = 3(-4)^2 - 2(-4) + 5 = -35

3. f(-1/2) = 3(-1/2)^2 - 2(-1/2) + 5 = 3.75

4. f(a+b) = 3(a+b)^2 - 2(a+b) +5 = 4a + 4b + 5

3(a+b)(a+b) - 2a -2b + 5

6a + 6b -2a -2b +5

4a + 4b + 5  

I think

These are our two tables of values for the following functions using the integers from -4 to 4.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given functions using the integers from -4 to 4 are

a. F(x)=6/x-2b.

r(x)=6x+12/x²-4

According to given question we have

f(x) = 6/x - 2

Now we just need to evaluate the function in all the given points:

a) f(x) = 6/x - 2

Now we can put the value

f(-4) = 6/(-4) - 2 =  -3/2 - 4/2 = -7/2

f(-3) = 6/-3 - 2 = -4

f(-2) = 6/-2 - 2 = -5

f(-1) = 6/-1 - 2 = -8

f(0) is undefined

f(1) = 6/1 - 2 = 4

f(2) = 6/2 - 2 = 1

f(3) = 6/3 - 2 = 0

f(4) = 6/4 - 2 = -1/2

b. r(x)=6x+12/x²-4

Now we can put the value

r(-4) = 6(-4)+12/(-4)²-4=-27.25

r(-3) = 6(-3)+12/(-3)²-4=-20.66

r(-2) = 6(-2)+12/(-2)²-4=-13

r(-1) = 6(-1)+12/(-1)²-4= 2

r(0) = 6(0)+12/(0)²-4= ∞

r(1) = 6(1)+12/(1)²-4 =14

r(2) = 6(2)+12/(2)²-4=11

r(3) = 6(3)+12/(3)²-4 =15.33

r(4) = 6(4)+12/(4)²-4=20.75

Therefore, these are our two tables of values for the following functions using the integers from -4 to 4.

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The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.

What is Place value?

The value of each digit is called place value.

The given condition to find the number is;

Number that have a digit in the ones place is 1/10 of the value in the tens place.

Now, In the number 3,222;

2 is 1/10 of the 20 in the tens place.

And, In the number 1,055

5 is 1/10 of the tens value of 50.

So, The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.

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Using the calorie count C for a serving of food C =5h + 8f + 5​p, the formula for f is derived to be; f = (C - 5h  - 5​p) / 8

An equation is an expression that shows the relationship between two or more numbers and variables.

WE have been Given data that C =5h + 8f + 5​p

Where C is the calorie count, h is the number of grams of carbohydrate, f is the number of grams of fat and p is the number of grams of protein

Now solving for f in the given equation;

C = 5h + 8f + 5​p

Then f the subject of formula;

C - 5h  - 5​p = + 8f

8f = C - 5h  - 5​p

Now dividing through by 8

f = (C - 5h  - 5​p) / 8

Hence, The number of grams of fat, f, contained in a serving of food is; f = (C - 5h  - 5​p) / 8

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Answer:

to solve for X, first remember that Y=mx+b

Step-by-step explanation:

1 Add 77 to both sides.

4x=3+7

4x=3+7

2 Simplify  3+73+7  to  1010.

4x=10

4x=10

3 Divide both sides by 44.

x={10}{4} x=10/4x = 4 10

​

4 Simplify  10/4

4

10

​

  to  \5/2

2

5

​

.

x= 5/2

x=

2

5

​

Done

Decimal Form: 2.5