Which of the following is a true statement about the angles in the
figure below?
22
21
24
43°
56
23
them is 99

First find the center, then graph all the points that are at a distance of R units from that center.

A circle of radius R is the set of all points that are at a distance R from a given point (the center of the circle).

So to graph it, we need to know these two things, radius and center.

Once we do, first we graph the center on the coordinate plane.

Once we find the center, we can find all the poiints that are at a distance of R units from our center, so we need to graph these. Once we do, we will have the graph of our circle on the coordinate plane.

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Answer:

See below for proof.

\(S_{500}=125250\)

Step-by-step explanation:

Given arithmetic series:

Therefore:

\(S_n=1+2+3+...+(n-2)+(n-1)+n\)

\(S_n=1+(1+1)+(1+2)+...+(1+n-3)+(1+n-2)+(1+n-1)\)

\(S_n=1+(1+1)+(1+2(1))+...+(1+(n-3)(1))+(1+(n-2)(1))+(1+(n-1)(1))\)

Let:

Therefore:

\(S_n=a+(a+d)+(a+2d)+...+(a+(n-3)d)+(a+(n-2)d)+(a+(n-1)d)\)

Reverse the order:

\(S_n=(a+(n-1)d)+(a+(n-2)d)+(a+(n-3)d)+...+(a+2d)+(a+d)+a\)

Add the two expressions for Sₙ:

\(2S_n=(2a+(n-1)d)+(2a+(n-1)d)+(2a+(n-1)d)+...+(2a+(n-1)d)\)

Therefore, the term (2a + (n – 1)d) has been repeated n times:

\(2S_n=n(2a+(n-1)d)\)

Divide both sides by 2:

\(S_n=\dfrac{1}{2}n(2a+(n-1)d)\)

\(S_n=\dfrac{1}{2}n(a+a+(n-1)d)\)

Replace  a with  a₁  (first term) and a + (n – 1)d  with  aₙ (last term):

\(S_n=\dfrac{1}{2}n(a_1+a_n)\)

To find the sum of the series 1 + 2 + 3 + ... + 500, substitute the following values into the formula:

Therefore:

\(\implies S_{500}=\dfrac{1}{2}(500)(1+500)\)

\(\implies S_{500}=250(501)\)

\(\implies S_{500}=125250\)

The correct population should she answered is  is A) 7th graders in the school

To find out the favorite after-school activity of 7th grade students, Ms. Smith should sample the population directly related to the question. In this case, the most appropriate population to sample would be:

A) 7th graders in the school

By sampling the 7th graders in the school, Ms. Smith can directly gather information about their favorite after-school activities. This population consists of the students themselves who engage in the activities, and they would have first-hand knowledge and experience of their preferences.

B) Parents of 7th graders in the school might provide some insights, but they may not accurately represent the activities chosen by the students themselves.

C) Other 7th-grade teachers in the school may have some observations, but it may not reflect the preferences of the entire 7th-grade student population.

D) Sampling all students in the school would be broader than necessary and may not specifically address the favorite after-school activities of 7th-grade students.

Therefore, option A) 7th graders in the school is the most suitable population for Ms. Smith to sample in order to answer her question about the favorite after-school activity of 7th-grade students.

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The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Answer:

x = -16/5  or

x = 6/5

Step-by-step explanation:

\(-\left|5+5x\right|-9=-20\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\-\left|5+5x\right|-9+9=-20+9\\\\Simplify\\-\left|5+5x\right|=-11\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\\\frac{-\left|5+5x\right|}{-1}=\frac{-11}{-1}\\\\\left|5+5x\right|=11\\\\\mathrm{Apply\:absolute\:rule}:\\\\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\5+5x=-11\quad \mathrm{or}\quad \:5+5x=11\\\\5+5x=-11\quad :\quad x=-\frac{16}{5}\\\\5+5x=11\quad :\quad x=\frac{6}{5}\\\)

\(x=-\frac{16}{5}\quad \mathrm{or}\quad \:x=\frac{6}{5}\\\)

The value of x after solving the expression -|5 + 5x| - 9 = -20 is equal to x  = -16/5 or x = 6/5.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

The algebraic expression given is -|5 + 5x| - 9 = -20

We know that a modulus sign is a representation of  ran absolute value which has two values either a positive or negative value.\

After solving the expression we get :

-|5 + 5x| - 9 = -20

So , after removing the modulus sign we will get two expressions :

-(-(5 + 5x) - 9 = -20

5 + 5x = -11

or

-(5 + 5x) - 9 = -20

-(5 + 5x) = -11

Solving the two expressions we get the value of x as :

x  = -16/5

or

x = 6/5

Therefore , the value of x after solving the expression -|5 + 5x| - 9 = -20 is equal to x  = -16/5 or x = 6/5.

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Answer:

4.

Step-by-step explanation:

Divide 30 by 12 which is close to 5 and then divide 20 by 5. This MIGHT be wrong.

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

Answer:

Step-by-step explanation:

Student G only involves in the band but Student B involves in the band and those who play piano. We can also assume that the instrument that Student B plays in the band is the piano.

The student of class B plays both pianos and they are in the band while a student of class G is in the band without knowing their role play as per the Venn diagram shown.

Given that,
The Venn diagram below provides a visual representation of the students in Mr. Griffin's class who participate in music programs after school. What does the diagram tell you about the musical involvement of Student B and Student G is to be determined

The Venn diagram is a mathematical representation of the system of scenarios.

Here,
There are 7 classes named A, B, C, D, E, F, and G in the Venn diagram
Where students of classes A and F are the proper piano players,
while, students of class B and D are both in the band and also they plays piano, and students of C, E, and G has no specified role play but they are part of the band,

Thus, the student of class B plays both pianos and they are in the band while a student of class G is in the band without knowing their role play.

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Answer:

25.1

Step-by-step explanation:

4 is the radius and the diameter is twice the radius. The circumference is pi times the diameter. 3.14x8 is 25.12. Round that to the nearest tenth to get 25.1.

The correct solution of the inequality - 12 + p > 7 will be;

⇒  p > 19

And, The graph of the inequality is shown in figure.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The expression of the inequality is,

⇒ - 12 + p > 7

Now,

Solve the expression of the inequality as;

⇒ - 12 + p > 7

Add 12 both side, we get;

⇒ - 12 + p + 12 > 7 + 12

⇒  p > 19

Therefore, The correct solution of the inequality - 12 + p > 7 will be;

⇒  p > 19

And, The graph of the solution of the inequality p > 19 is shown in figure.

Thus,

The correct solution of the inequality - 12 + p > 7 will be;

⇒  p > 19

And, The graph of the inequality is shown in figure.

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Answer:

5 cm

Step-by-step explanation:

(a) R(x) = -13.12\(x^2\) + 285.23x - 882.37

(b) $9.25: $263.29 per dollar, $11.50: $232.24 per dollar

(c) $9.25 to $10.25: $21.34, $11.50 to $12.50: $22.34

(d) Overestimate due to model assumptions. Underestimate due to nonlinear relationship limitations.

(a) The quadratic model for the average revenue in dollars is given by the function R(x) = -13.12\(x^2\) + 285.23x - 882.37.

(b) The rate of change of revenue at a price of $9.25 is approximately $263.29 per dollar, and at a price of $11.50, it is approximately $232.24 per dollar.

(c) The change in revenue if the price is increased from $9.25 to $10.25 is approximately $21.34, and from $11.50 to $12.50, it is approximately $22.34.

(d) The approximate change is an overestimate of the change in price from $9.25 to $10.25 because the quadratic model assumes a perfectly smooth and continuous relationship between price and revenue, which may not be accurate in practice. On the other hand, it is an underestimate of the change in price from $11.50 to $12.50 because the quadratic model may not capture the full complexity of the relationship between price and revenue, especially in a nonlinear fashion.

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The given statement based on t-test for dependent means representing

significant difference in the scores of a group is true.

The t-test for dependent means, also known as the paired t-test.

It is used to determine whether there is a significant difference between two sets of scores that are related in some way.

When the same group of respondents is tested at two different points in time.

It is a common statistical test used to analyze pre-test/post-test data, or data from within-subjects designs.

The test assumes that the differences between the two sets of scores are normally distributed.

Compares the mean difference between the two sets of scores to the standard error of the difference.

If the mean difference is significantly different from zero.

Then it can be concluded that there is a significant difference between the two sets of scores.

Therefore, the above statement of t-test to determine the significant difference in the score is true.

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Answer:

The answer is E

Step-by-step explanation:

if you find the common numbers you get 45

Answer:

I think it's 42.2 I searched it up

Answer:

1/b^4

Step-by-step explanation:

When you take the reciprocal of a number or variable, the sign of the exponent changes from positive to negative or negative to positive.

You currently have b^-4/1 flip it and change the sign to get 1/b^4

Answer: the answer is x=12 and x=4

Answer:

thats cool

Step-by-step explanation:

The sum of the measures of an exterior angle of a polygon is 360°.

If the given angle divides 360 evenly, then it can be a measure of an exterior angle of a polygon. If otherwise, then it cannot be.

Out of the given angles, only 50 does not divide 360 evenly. Therefore, a regular polygon cannot have an exterior angle measuring 50°. (Option B)

A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.

Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy

One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.

The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.  This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.

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Answer:

\(x^2 + 12x +36 = (x+6)^2\)

Step-by-step explanation:

\(x^{2} + 12x +36\\\\\\Step 1: Find\ factors \ of\ 36\ that \ add \ to \ +12.\\(1, 36)\ , \ ( 2, 18), \ (3, 12), \ (4, 9), \ (6, 6)\\\\Step2. \ From \ the \ pairs \ above \ (6 , 6) \ adds \ to \ +12.\\\\So \ the \ equation \ can\ be \ written \ as \\x^{2} + 6x +6x +36 = (x^{2} + 6x) + (6x + 36)\)

                          \(= x(x + 6) + 6(x+6)\\\\=(x+6)(x+6)\\\\=(x+6)^2\)

Answer:

Step-by-step explanation:

a²+ 2ab + b² = (a +b)²

x² + 12x + 36  = x² + 2 * x * 6 + 6²        {Here a = x and b = 6}

                         = (x + 6)²

Answer:

5/6 or 83.333333333333333

Step-by-step explanation:

By using the given domain and range, we will see that the false statements are:

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

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The football will take approximately 1.03125 seconds to reach its highest point, and it will reach a maximum height of 16.769 feet.

To find the time it takes for the football to reach its highest point, we can use the formula:

t = (Vf - Vi) / g

Where:
t = time
Vf = final velocity (0 m/s at the highest point)
Vi = initial velocity (33 ft/s)
g = acceleration due to gravity (32 ft/s^2)

Plugging in the values:
t = (0 - 33) / (-32) = 1.03125 seconds

Next, to find the maximum height reached by the football, we can use the formula:

h = Vi * t + (1/2) * g * t^2

Where:
h = maximum height
Vi = initial velocity (33 ft/s)
t = time (1.03125 seconds)
g = acceleration due to gravity (32 ft/s^2)

Plugging in the values:
h = 33 * 1.03125 + (1/2) * (-32) * (1.03125^2) = 16.769 ft

Therefore, the football will take approximately 1.03125 seconds to reach its highest point, and it will reach a maximum height of 16.769 feet.

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An expression for the given model can be simplified as -x - 2.

Given a model.

The model consists of 2 times x and 3 times -x.

This can be written as 2x + (3 × -x) = 2x - 3x = -x

It also consists of some 1's and '-1's.

In the first column, there are 3 1's = 3

Next, there are 2 1's and 1 '-1' = 2 + -1 = 1

Next, there are 3 '-1's = -1 + -1 + -1 = -3

Next also = -1 + -1 + -1 = -3

So summing up all these,

Expression is -x + 3 + 1 - 3 - 3 = -x - 2

Hence the required expression is -x - 2.

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Answer:

x = 80 degrees

Step-by-step explanation:

Let's say the angle ABC = 30 degrees and angle BAC = x degrees

angle ACB = 180 - 110

angle ACB = 70 degrees

angle BAC = 180 - angle ABC - angle ACB

x = 180 - 30 -70

x = 150 - 70

x = 80 degrees

Answer:

B. no solution

Step-by-step explanation:

8w + 5 = 4(2w +1)

8w + 5 = 8w + 4

-8w       - 8w

5 = 4

The car travels 660 meters after 10 seconds of deceleration.

To solve this problem, we can use the formula: distance = initial velocity * time + (1/2) * acceleration * time^2. The initial velocity is 114 m/s, the time is 10 seconds, and the acceleration is -6 m/s^2 (negative because it represents deceleration). Plugging these values into the formula, we get:

distance = 114 * 10 + (1/2) * (-6) * 10^2

distance = 1140 - 300

distance = 840 meters

Therefore, the car travels 840 meters after 10 seconds of deceleration.

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Slope intercept equation of the line parallel to \(y = -\frac{2}{3} x + 12\)  will be: \(y = -\frac{2}{3} x + 7\)

In the given question, we have a line \(y = -\frac{2}{3} x + 12\). We have to find out the equation of the line that is parallel and passes through points (6, 3). We know the standard slope-intercept form is: y = mx + b. By comparing this to the equation of line \(y = -\frac{2}{3} x + 12\) we get slope m = -2/3.

Also, we know parallel lines have the same slope m = -2/3. And the parallel line passes through (6, 3). We can find the equation of the line by using the point-slope form: y - y₁ = m(x - x₁).

Putting values of m, and (x₁,y₁), we get: \(y - 3 = -\frac{2}{3} (x - 6)\)

=> \(y - 3 = -\frac{2}{3}x + 4\)  

=> \(y = -\frac{2}{3}x + 7\)

Hence, the slope-intercept form of the line is \(y = -\frac{2}{3} x + 7\)

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Given

What number should be multiplied by 5.8 so that the answer is 47.096

Answer

Let x be multiplied to 5.8