What is the range of f(x) = |x| − 5?
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞

Answers

Answer 1

Answer:

-5 ≤ y < ∞.

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = |x| − 5, we can first consider what happens when x is positive. In this case, the absolute value of x is just x, so the function becomes f(x) = x − 5. For example, if x = 6, then f(x) = 6 - 5 = 1. We can do this for any positive value of x to find the y-values that the function produces when x is positive.

Next, we can consider what happens when x is negative. In this case, the absolute value of x is -x, so the function becomes f(x) = -x - 5. For example, if x = -6, then f(x) = -6 - 5 = -11. We can do this for any negative value of x to find the y-values that the function produces when x is negative.

We can then combine the y-values that the function produces when x is positive and negative to find the range of the function. Since the function produces all y-values greater than or equal to -5 when x is positive and all y-values less than or equal to -5 when x is negative, the range of the function is -5 ≤ y ≤ ∞.

Therefore, the correct answer is -5 ≤ y < ∞.


Related Questions

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!

Answers

Answer:

We believe that everyone deserves access to clear, factual information that helps them educate themselves on the issues of the day and the things that pique their curiosity. This month we’re aiming to raise 3,000 new gifts in order to keep our 2023 coverage, including everything on Vox.com, free — because we believe everyone deserves the chance to access information that helps them learn about the world. This year, alone, our generous supporters helped keep over 2,500 articles, 100 videos, and 650 Vox podcasts that have informed and educated millions of people around the world free. We’re so close to our goal of raising 3,000 new gifts by December 31. If you value our work, please help us close the gap by making a one-time gift to Vox today.

First, let’s list the task:

• Calculate the volume of 3 different spheres and cylinders; choose different radii for each sphere and cylinder.

• The height of the cylinders is equal to the diameter of the corresponding sphere.

Here’s the sheet:

Please help me with this question

Answers

To derive the formula that goes through these two points, we use the general equation for an exponential equation.

Y = a(b)^x

There we will substitute the two points into this equation to get two equations

45 = a(b)^2

5/9= a(b)^-1

By dividing the first equation by the second, we obtain:

27 = b^3

Therefore b= 3

We plug b=3 into the first equation using the second point:

45 = a(3)^2

We get a = 5

Therefore the equation is y = 5(9)^x

We can verify this equation by plugging in the two points given to see if it works.

5/9 = 5(9)^-1

5/9 = 5/9

And:

45 =5(9)^2

45 = 45

It does, so the equation is correct.

The answer is y =5(9)^x

What is exponential equation?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.Exponential equations are equations in which variables occur as exponents.For example, exponential equations are in the form a x = b y .To solve exponential equations with same base, use the property of equality of exponential functions .

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what number is 16 2/3% more than 240

Answers

280 is the number which is 16 2/3% more than 240

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We would receive 16 times 3 plus 2 if we converted 16 2/3 to an improper fraction. Then, we would divide this number by 3, getting 50/3, which is equal to 50/3 divided by 100, or 1/6.

(1/6) th of 240 = 240/6 = 40

40 more than 240 = 280

So, 280 is the number which is 16 2/3% more than 240

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what is the circumference

Answers

The circumference is 12.56

Becca's dog-walking business started with 1 dog. By the end of the first month , she was walking 2 additional dogs per month . The graph represents the situation . How many dogs was Becca walking by the end of the third month?

Answers

The graph shows that Becca walks five dogs at the end of the third month.

How many dogs are there in the third month?

We know that we can be able to read off the graph of an function that has been shown such as the one that we have in the image that has been attached to this answer.

We can see that the graph of the function agrees that Becca's dog-walking business started with 1 dog. By the end of the first month , she was walking 2 additional dogs per month .  We would now read off the graph to know the number of dogs that he walks after three months.

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Nadine's Nursery sells St. Augustine grass seeds for $10 per lbs. and Zoysia grass seeds for $15 per lbs. Nancy wants to buy 20 ;bs. of grass seeds and wants to pay an average of $12 per lbs. How much of each type should she get?

Answers

The quantity of each type that Nadine should get would be= 96 of St. Augustine grass seeds and 144 of Zoysia grass seeds.

What is an average cost ?

An average cost is defined as the total cost of production divided by the total number of units produced.

The cost of St. Augustine grass seeds per lbs = $10

The cost of Zoysia grass seeds per Ibs = $15

The quantity of seed Nadine wants to buy = 20

The average amount the Nadine want to pay per Ibs = $12

That is the total money available for the grass seeds = 20 × 12 = 240

To find the number of each grass seed she can buy the following is carried out;

10 + 15 = 25 ( Total cost for both grass seed)

The number of St. Augustine grass seeds she can buy ;

= 10/25 × 240

= 2400/25

= 96

The number of Zoysia grass seeds she can buy;

= 15/25 × 240

= 3600/25

= 144.

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according to wine-searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. random ratings of a pinot noir recently produced by a newly established vineyard in follow: excel file: data07-11.xlsx 87 91 86 82 72 91 60 77 80 79 83 96 a. develop a point estimate of mean wine score for this pinot noir (to decimals). 82.00 b. develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals). 9.6389

Answers

(a) The point estimate of mean wine score for this pinot noir is 82.

(b) The point estimate of standard deviation wine score for this pinot noir is 9.6389.

Below table showing calculation of Point Estimate of Mean and Standard Deviation:

Score                                  X-X’                                  (X-X’)^2

87                                         5                                         25

91                                         9                                         81

86                                         4                                         16

82                                         0                                         0

72                                        -10                                       100

91                                         9                                         81

60                                        -22                                       484

77                                        -5                                         25

80                                        -2                                         4

79                                        -3                                         9

83                                         1                                         1

96                                         14                                       196

984                                                                                   1022

Mean(X’) = Total Score/n

n = Total number = 12

X’ = 984/12 = 82

Standard Deviation (σ) = √∑(X-X’)^2/(n-1)

σ = √1022/(12-1)

σ = √1022/ 11

σ = 9.6389

(a) The point estimate of mean wine score for this pinot noir is 82.

(b) The point estimate of standard deviation wine score for this pinot noir is 9.6389

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Question 3
Evaluate g(x)=-3x+1, when x=10
Give a numerical answer.

Answers

Insert 10 for x

Multiply

-30+1

Calculate

Solution

-29

ecall that one of the ten parts of the definition of a vector space says that if is a vector space, then there exists a vector in such that for all in hceggg

Answers

This means that for any vector v in the vector space V, there is a vector 0 in V such that v + 0 = v.

This is known as the identity property, and it states that adding 0 to any vector in V does not change the original vector. The identity property is an essential part of the definition of a vector space.

In general, a vector space is a set of objects called vectors that can be added together and multiplied ("scaled") by numbers, called scalars. Scalars are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field.

A vector space is a set V together with two operations that satisfy the eight axioms listed below.

Closure under addition. For all vectors u and v in V, the vector u + v is also in V.Closure under scalar multiplication. For all vectors u in V and all scalars c, the vector cu is also in V.Associativity of addition. For all vectors u, v, and w in V, (u + v) + w = u + (v + w).Commutativity of addition. For all vectors u and v in V, u + v = v + u.Existence of an additive identity. There exists a vector 0 in V such that for all vectors u in V, 0 + u = u + 0 = u.Existence of additive inverses. For every vector u in V, there exists a vector -u in V such that u + (-u) = (-u) + u = 0.Compatibility of scalar multiplication with field multiplication. For all vectors u and v in V and all scalars c and d, (c + d)u = cu + du and c(dv) = (cd)v.Compatibility of scalar multiplication with field addition. For all vectors u and v in V and all scalars c and d, c(u + v) = cu + cv.

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15. Suppose an economy's marginal propensity to consume (MPC) is 0.6. Then, the multiplier must be

a. 1.96.

b. 3.

c. 1.67.

d. 2.5.

Answers

The investment multiplier must be 2.5 i.e.Option (d).

What is an Investment multiplier?

The amount by which the growth in output or income exceeds the increase in investment is referred to as the investment multiplier. It is represented by the letter "k" and is calculated as the ratio of changes in investment and income.

Multiplier(k) = Change in income / change in investment = 1/ {1-MPC}

where MPC is the marginal propensity to consume

Given, MPC = 0.6

Then, the multiplier(k) = 1/( 1 - 0.6) = 1/ 0.4 = 10/4 = 2.5 times

Hence, the investment multiplier is 2.5 i.e.Option (d).

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Use a proof by contraposition to prove that if m and n are integers and mn is even, then m is even or n is even.

Answers

In order for mn to be even, m must be even or n must be an even number.

What is Contraposition ?

The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.

Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:

Let n and m be equal to 2a +1  and 2b + 1 respectively, then their product is:

                 (2a +1) (2b + 1) = 4ab + 2a + 2b + 1

                                       = 2(2ab +a + b) + 1

This shows that the expression 2(2ab +a + b) + 1  is of the form 2n +1,  thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.

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The angle formed between one side and another, always less than 180 degrees.

Answers

Answer:obtuse angle

Step-by-step explanation:

An obtuse angle is an angle of greater than 90° and less than 180°. It is bigger than an acute angle. It is smaller than a straight angle, which measures 180°. Angles are measured with a protractor obtuse angle is specifically present in hexagon and pentagon and others.

One way to measure the amount of energy that a moving object (such as a car) possesses is by finding its Kinetic Energy. The Kinetic Energy (Ex, measured in Joules) of an object depends on the object's mass (m, 2Ek measured in kg) and velocity (v, measured in meters per second), and can be written as v = . m What is the kinetic Energy of an object with a mass of 1,700 kilograms that is traveling at 50 meters per second? Ek Joules The volume of a cone of sand moved by harvester ants given it's radius can be found with the following 3V formular = A mound of gravel is in the shape of a cone with the height equal to twice the radius. 2л Calculate the volume of such a mound of gravel whose radius is 4.92 ft. Use = 3.14. V = (round to the nearest whole number)

Answers

The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.

Given that,

The Kinetic Energy of an object depends on the object's and velocity , and can be written as v = m

Kinetic Energy of an object with a mass = 1,700 kilograms

Traveling = 50 meters per second

Radius = 4.92 ft

Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.

Kinetic Energy of a body is given by ,

1/2 mv²

Where m = mass = 1700 kg

v = velocity = 50m/s

Therefore ,

KE = 1/2 * 1700kg * 50m/s

KE = 2125000 J.

Now to calculate the volume

Let's assume that the solution to the problem will be found using your formula. If so, let's carry out the following operations when solving for v in the equation:

On multiplying the equation by 2, the outcome is

2[tex]r^{2}[/tex]

=3[tex]\sqrt{3V}[/tex]

To find volume

enter (v=(2[tex]r^{2}[/tex])/33)

rationalize the right side of the equation's numerator.

v=(2π[tex]r^{2}[/tex] )

A simplified version of 3/333 is

v=(2[tex]r^{2}[/tex])3/9.

Substitute

v=(23.143.1523)/9

v=11.9.

Therefore,

The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.

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Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 9200(1.018)²

Answers

Answer:

growth

1.8%

Step-by-step explanation:

If the number raised to the power x is between 0 and 1, it is decay since as the exponent increases, the value of the power expression decreases.

For example, think of 0.1, a number between 0 and 1.

0.1^x

x = 1, 0.1^1 = 0.1

x = 2, 0.1^2 = 0.01

x = 3, 0.1^3 = 0.001

As you see, as x increases, the value of the expression decreases from 0.1 to 0.01 to 0.001

Now look at a power in which the base is greater than 1.

If the number raised to the power x is greater than 1, it is growth since as the exponent increases, the value of the power expression increases.

For example, look at 1.5^x

1.5^x

x = 1, 1.5^1 = 1.5

x = 2, 1.5^2 = 2.25

x = 3, 1.5^3 = 3.375

As you see, as x increases, the value of the expression increases from 1.5 to 2.25 to 3.375.

Now our problem:

y = 9200(1.018)^x

What base is raised to x?

Answer: 1.018

Since 1.018 is greater than 1, as the exponent, x, increases, the value of 1.018^x increases. Therefore, this is exponential growth.

1.018 = 1 + 0.018 = 1 + 1.8%

The percentage is 1.8%

Type your answers into the boxes.
What are the next two numbers in this sequence?
45.7
46.2
46.7
47.2

Answers

Answer:

Step-by-step explanation:

Well, it seems like you're adding 5 each time so
45.7
46.2
46.7
47.7
48.2
48.7

           

Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4 inches. Women have
a mean of 63.8 inches and standard deviation 2.6 inches. The US Air Force has a height requirement for their pilots to be
between 64 inches and 77 inches.
Make sure you are rounding z-scores properly to two places.
Part A: Find the two z-scores for women who meet this height requirement z =
and z=
I
(larger value)
For Blank 1
Part B: Using the z-scores from part A, find the proportion of women who meet the height requirement. Give this answer as a
decimal.
Z=
(smaller value)
Part C: Find the two z-scores for men who meet this height requirement z =
(larger value)
Part D: Using the z-scores from part C, find the proportion of men who meet the height requirement. Give this answer as a
decimal.
QUESTION 2
(smaller value) and
Part E: If the height requirement were changed to exclude only the shortest 1% of women and tallest 1% of men, what are the
new heights? The short value would be
in inches and the tall value would be
in inches. Please give these two values rounded properly to one decimal place.

Answers

Normal distribution curve is symmetric around the mean, it shows that values close to the mean happen more frequently than those distant from the mean.

What is meant by normal distribution curve?

A bell-shaped (symmetric) curve, the normal probability distribution or the normal curve. The mean of it is represented by and the standard deviation by σ.

In this example, the mean and median are both equal and lie in the center of the distribution; they are 64, and the standard deviation is 7, with 68% of the values falling within the first standard deviation, 95% within the second standard deviation, and 99.7% within the third. Once more, variance is equal to the standard deviation squared.

According to the normal distribution curve:

"the percent of women whose heights are between 64 and 69.5 inches" represents the values within 2 standard deviation.

Area from a value (Use to compute p from Z)

Value from an area (Use to compute Z for confidence intervals)

Let the parameters be

Mean 64

Standard deviation 2.75

Above 1.96

Below 1.96

Between 64 and 69.5

Outside -1.96 and 1.96

Area (probability) 0.4772

And that value is 95 % of the whole data

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(2-2i)(3+3i)

56 points ]

Answers

Answer:

12

Step-by-step explanation:

Answer : 12

Step-by-step explanation:

The method that i used here was FOIL

(2 - 2i)(3 + 3i)

2x3=6

2x3i=6i

-2ix3=-6i

-2ix3i=-6i^2

6 + 6i - 6i - 6i^2

6-6i^2

i^2 is also known as (-1)

6 - 6(-1)

6 + 6

= 12

Ms. Brooks has 2 pieces of ribbon to make wreaths. One piece is 18 yards long and the other is 17 yards long. Each wreath requires 5 yards of uncut ribbon. How many wreaths can Ms. Brooks make?

Answers

The number wreaths that Ms. Brooks make will be 7 wreaths.

How to illustrate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

It should be noted that an expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features. People make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects

Here, Ms. Brooks has 2 pieces of ribbon to make wreaths. One piece is 18 yards long and the other is 17 yards long.

Since each wreath requires 5 yards of uncut ribbon, the number of wreaths that Ms. Brooks make will be:

= (18 + 17) / 5

= 35 / 5

= 7 wreaths.

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Brian sped up from 68 mph to 80 mph. What was his percent change?

Answers

The percent change in the speed of Brian is found as 15%.

Describe the term percent change?The percentage difference between such a final and starting value is known as percent change. Divide the value differences by the starting value to calculate the percent change.The outcome is known as the rate of change, sometimes known as the percentage change, and is expressed in percent (with absolute numbers, it's merely a difference).

For the stated question-

Initial speed = 68 mph

Final speed =  80 mph.

Difference = Final speed - Initial speed

Difference = 80 - 68

Difference = 12 mph

Percent change = Difference/Initial speed x 100

Percent change =  12/80 x 100

Percent change = 15%

Thus, the percent change in the speed of Brian is found as 15%.

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What is the quotient of
102 and 5?

Answers

The leftover after dividing 102 by 5 is the quotient, which is:

Quotient 20

Remainder 2

102 5: Quotient and Remainder

The quotient and remainder method is one way to determine the quotient and remainder of a division. The dividend (102) and the divisor are already known to us (5). Now, we need to determine the residual and the quotient:

The Quotient and Remainder procedure is as follows:

20 quotient, 5 | 102 dividend, -10 2, and a reminder

As can be seen:

The remainder is 2, while the quotient is 20.

Sometimes, the remaining part is referred to as the "modulo," or simply "mod." This notation is used to say that:

102 mod 5 = 2

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Haylee selects 10 small businesses at random from her state's directory. Let BBBB be the number of businesses she selects that have websites What type of variable is B? Binomial Geometric Neither

Answers

From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.

What is binomial variable ?

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probabilitq=1-pq=1-p).

This distribution is used in probability theory and statistics.

A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution.

The popular binomial test of statistical significance is based on the binomial distribution.

A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.

Hence, From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.

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|x+9|=|-x-9|

How do I solve this equation and graph it?

Answers

The value of x is :

x≤ -9 or x > -9

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

|x+9|=|-x-9|

Both the sides have absolute symbols, consider as below:

x+9 =  -x-9

=> 2x = -9 - 9 = -18

=> 2x = -18

=> x= -9

This means,  x≤ -9 or x > -9

For graph:

consider as below:

y =  |x+9|

y = |-x-9|

graph them without absolute symbols

consider upper v shaped graph. ignore downward v shaped graph

By taking some random values for x and finding the corresponding y values, we get the ordered pairs in the form of (x,y).

By plotting and joining those points, we get the graph as shown in the attachment.

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Lines DE and AB intersect at point C.


What is the value of x?
A.12
B.25
C.38
D.05

Answers

Answer:

B

Step-by-step explanation:

2x + 2 + 5x + 3 = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25°

LMNO is a parallelogram. If NM\ =\ x+32\ and\ OL=2x+22,\NM = x+32 and OL=2x+22, find the value of x and then find NM and OL

Answers

Answer:

the value of x is 10

Step-by-step explanation:

Since LMNO is a parallelogram, the opposite sides are parallel and have the same length. This means that NO and LM have the same length, which we can call y. We can write the following equations to represent the given information:

NM = x + 32

OL = 2x + 22

NO = y

LM = y

Since NO and LM have the same length, we can set their lengths equal to each other to find the value of y:

x + 32 = y

2x + 22 = y

We can solve this system of equations by setting the two equations equal to each other and solving for x:

x + 32 = 2x + 22

-x = -10

x = 10

Substituting the value of x back into the equations for NM and OL, we find that:

NM = 10 + 32 = 42

OL = 2(10) + 22 = 32

Therefore, the value of x is 10, and the lengths of NM and OL are 42 and 32.

1. A tire has the specification 225/60R14. What is the sidewall of the tire in inches (1 inch = 25.4 mm)?
a. 9.3in b. 60in
c. 8.9 in
d. 5.3in

2. If the diameter of a tire is 25 inches, approximate what distance does the tire cover in 8 rotations?
a. 628in
b. 392in
c. 60 in
d. 225in

Answers

The distance that tire covered in 8 rotations with diameter 25 inches is 628in using circle circumference's formula .

What is circumference of circle ?

The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle's circumference.

The formula is :

2πr where r is the radius of the circle.

We know that diameter = 2*radius.

Given diameter = 25 inches

So, the radius = 25/2 inches.

So, the circumference = 2*(22/7)*(25/2)

Circumference of circle = distance covered by tire in one rotation.

So, the distance covered in 8 rotations = 8 * circumference

                                                                  = 8* 2*(22/7)*(25/2)

                                                                  = 628.5 inches

                                                                  ≈ 628 in

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In triangle ABC, m∠B = (14x − 22)° and the measure of the exterior angle to ∠B is (6x − 18)°. Find m∠B.

Answers

After solving the equation, the value obtained for m ∠B will be equal to 132°.

What is an angle?

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the given information in the question,

The inside angle plus the external angle add up to 180°.

So,

m ∠B = (14x − 22)°

14x - 22° + 6x - 18° = 180°

14x + 6x - 22° - 18° = 180°

20x - 40° = 180°

20x = 180° + 40°

20x = 220°

x  = 220° / 20

x = 11°

Now, let's find m∠B.

m ∠B = (14x − 22)°

Put x = 11° in above equation,

m ∠B = (14(11) − 22)°

m ∠B = 154° - 22°

m ∠B = 132°.

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PLEASE ANSWE NOW
In △XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

AC = 7, AB = 5, and XY = 24. What is the perimeter of △XYZ?

Enter your answer in the box.

Answers

The perimeter of triangle XYZ is calculated as: 48 units.

What is the Perimeter of a Triangle?

The perimeter of a triangle is found by summing all the lengths of the three sides of the triangle.

Given the following measures as shown in the image below as:

AC = 7

AB = 5

XY = 24

The perimeter of triangle XYZ = XY + YZ + XZ

Based on the triangle midsegment theorem, we have:

YZ = 2(AC) = 2(7)

YZ = 14

XZ = 2(AB) = 2(5)

XZ = 10

Therefore:

The perimeter of triangle XYZ = 24 + 14 + 10

The perimeter of triangle XYZ = 48 units.

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Select all the points that are on the graph of the line Y=2x+5

Answers

Answer:

Some points that are on this line are:

(-7,-9) (-6,-7) (-5,-5) (-4,-3) (-3,-1) (-2,1) (-1,3) (0,5) (1,7) (2,9)

The sum of three numbers is 96. The first number is 6 less than the second. The third number is 4 times the second. What are the numbers?

Answers

Step-by-step explanation:

x = second number

first number = x - 6

third number = 4x

x - 6 + x + 4x = 96

6x - 6 = 96

6x = 102

x = 102/6 = 17

first number = x - 6 = 17 - 6 = 11

second number = x = 17

third number = 4x = 4×17 = 68

explain the difference between arithmetic growth and exponential (geometric growth). would you recognize them if they were described in writing and/or by picture?

Answers

When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.

When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. An illustration of arithmetic growth is the ongoing elongation of roots. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.

The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.

Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.

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