Both clusters are relevant to her career.
Why is it referred to as a cluster?Cluster is derived from the old english word clyster, which means a group. Cluster is now used as both a noun and a verb.
The army sergeant who works as a trauma surgeon is probably in the Health Services and Government and Public Administration clusters.
Health Services occupations include diagnosing, treating, and preventing illnesses and injuries, while Government and Public Administration occupations include planning, managing, and providing government functions and services. The individual is a member of the military, which is a government organisation, and a trauma surgeon, which is a part of the healthcare industry. As a result, both clusters are pertinent to her career.
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The measure of an angle is 71.6°. What is the measure of its complementary angle
Answer:
18.4 degrees
Step-by-step explanation:
a complementary angle is 90 degrees and 90 - 71.6 is 18.4. So, the answer is 18.4 degrees.
Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.
Which statements are true of the solution? Check all that apply.
The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w
Answer:
11 feet long
Step-by-step explanation:
20+20=40
62-40=22
22÷2=11
check
11+11+20+20=62
What is the simplified value of the expression
The simplified value of the expression is,
⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ [tex]\frac{(\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{6/5} }[/tex]
Now, We can simplify by the rule of exponent as;
⇒ [tex]\frac{(\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{6/5} }[/tex]
⇒ [tex](\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{- (6/5)} }[/tex]
⇒ [tex](\sqrt[3]{3} )^{3/5 - 6/5[/tex]
⇒ [tex](\sqrt[3]{3} )^{-3/5[/tex]
⇒ [tex]\frac{1}{\sqrt[3]{3} ^{ 3/5} }[/tex]
⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]
Thus, The simplified value of the expression is,
⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]
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1001₂ = ______ (base 6)
A. 13
B. 14
C. 15
D. 21
E. 23
The binary number will be equal to 14 in base 6
1001₂ = 14 (base 6)
What is a number base?Base is defined as a set of digits used to represent numbers. There are different number systems which make use of different combinations of digits as the base.
One of the most common which is the binary number system uses only 2 digits, i.e., 0 and 1 to represent numbers, while the Octal number system uses 8 digits, i.e., 0 to 7, to represent numbers.
The most common number system that is in use is the decimal number system that uses the base 10, which includes digits from 0 to 9 for writing numbers.
1001₂ = 1 x 2^3 + 0 x 2^2 + 0 x 2^1 + 1 x 2^0
1001₂ = 1 x 8 + 1 x 1
1001₂ = 8 + 1
1001₂ = 9
Converting 9 into base 6
6 9
6 1 r 3
0 r 1
From downwards pointing up
9 = 13 (base 6)
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What is the cube root of 12 167?
From the given information provided, the cube root of 12,167 by prime factorization method is approximately 23.
You can find the cube root of 12,167 using a calculator or by using the prime factorization method.
Using the prime factorization method, we can express 12,167 as the product of its prime factors:
12,167 = 19 × 641
Since the cube root of a product is equal to the product of the cube roots of the factors, we can find the cube root of 12,167 as follows:
∛12,167 = ∛(19 × 641)
∛12,167 = ∛19 × ∛641
∛12,167 = 2.7144 × 8.0186
∛12,167 = 23.1649 (rounded to four decimal places)
Therefore, the cube root of 12,167 is approximately 23.
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Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. (a) How many sample points are possible?
(b) What is the probability of obtaining a value of 7?
(c) What is the probability of obtaining a value of 8 or greater?
a) There are 36 sample points that are possible.
b) The probability of obtaining a value of 7 is 1/12.
c) The probability of obtaining a value of 8 or greater is 1/6.
(a) When rolling a pair of dice, each die has six possible outcomes: 1, 2, 3, 4, 5, or 6. The possible outcomes for the pair of dice can be represented by the set of all ordered pairs (a, b), where a and b represent the outcomes of the first and second die, respectively.
Since each die has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes for rolling a pair of dice.
(b) To obtain a sum of 7, we must have one die showing 1 and the other die showing 6, or one die showing 2 and the other die showing 5, or one die showing 3 and the other die showing 4, for a total of three possible outcomes.
Since each die has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes. Therefore, the probability of obtaining a sum of 7 is 3/36, or 1/12.
(c) We must have one die showing 2 and the other die showing 6, or one die showing 3 and the other die showing 5, or one die showing 4 and the other die showing 4, or one die showing 4 and the other die showing 5, or one die showing 5 and the other die showing 3, or one die showing 6 and the other die showing 2, for a total of 5 + 1 = 6 possible outcomes.
Therefore, the probability of obtaining a sum of 8 or greater is 6/36, or 1/6.
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During a seven-year period, the average housing prices (in thousands of dollars) for a year in Miami $M$M and Gainesville cap g$G$G are modeled by the equations
cap m is equal to 1 point 7 t cubed minus 6 point 5 t squared plus 212$M=1.7t^3-6.5t^2+212$M=1.7t3−6.5t2+212 and
cap g is equal to 1 point 6 t squared minus 14 t plus 165$G=1.6t^2-14t+165$G=1.6t2−14t+165 ,
where t is equal to 1$t=1$t=1 represents the first year.
a. Write a polynomial that represents the difference in housing prices.
Polynomial:
Question 2
b. What is the difference in housing prices in the fifth year?
$
The difference in housing prices in the fifth year is $7,125.
What is price?Price is the amount of money one has to pay for goods or services. It is also the return on an investment or the cost of borrowing money. Price is determined by the supply and demand of a product or service. It is also influenced by market forces such as competition, production costs, and availability of resources. Price is a key factor in determining the success of a business, as it can affect consumers' buying decisions and profitability.
$M(5) - G(5) = (1.7(5)³- 6.5(5)²+ 212) - (1.6(5)²- 14(5) + 165) = $7,125
Therefore, the difference in housing prices in the fifth year is $7,125.
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What is an equivalent expression for 27+3x
The equivalent expression is 81 + 9x
What is an algebraic expression?An algebraic expression is simply defined as an expression that is composed of terms, variables, coefficients, factors and constants.
They are also made up of arithmetic operations like subtraction, division, addition, multiplication, bracket and parentheses.
Equivalent expressions are defined as expressions with the same solution but which differs in the mode of their arrangement.
From the information given, we have that;
27+3x
Multiply the values by 3 each, we get;
81 + 9x
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Name at least two independent variables that could result in a change in a monthly electric bill
The two independent variables that could result in a change in a monthly electric bill will be Product physical dimensions and Machine operators' skill level.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Independent variables are variables that do not depend on anything.
Dependent variables are variables that depend on the independent variables.
The independent variables in the electric bill are as follows:
Product physical dimensionsMachine operators' skill level.Non-production machines that use electricity, among other thingsThe two independent variables that could result in a change in a monthly electric bill will be Product physical dimensions and Machine operators' skill level.
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How many solutions does the equation have?
4x + 3 = 4x + 3
Answer:
Infinitely Many
Step-by-step explanation:
Both answer are equal to each other
Triangle ABC is similar to triangle FGH. Given the following angle measures, find the missing angle measures.
m∠A = 22 degrees
m∠B = 75 degrees
Enter your answers as numbers only.
m∠F = _____ degrees
m∠G = _____ degrees
m∠H = _____ degrees
m∠C = _____ degrees
The missing angle measures are:
m∠F = 22 degrees
m∠G = 75 degrees
m∠H = m∠C = 83 degrees
m∠C = 83 degrees
The angle measuresSince triangles ABC and FGH are similar, their corresponding angles are equal. Therefore:m∠F = m∠A = 22 degrees
m∠G = m∠B = 75 degrees
m∠H = m∠C, since they are corresponding angles, but we still need to find the measure of m∠C.
To find m∠C, we can use the fact that the sum of the angles in a triangle is always 180 degrees. So:m∠A + m∠B + m∠C = 180 degrees
Substituting the given values, we get:22 degrees + 75 degrees + m∠C = 180 degrees
Simplifying, we get:m∠C = 180 degrees - 22 degrees - 75 degrees = 83 degrees
Therefore, the missing angle measures are:
m∠F = 22 degrees
m∠G = 75 degrees
m∠H = m∠C = 83 degrees
m∠C = 83 degrees
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The rectangular floor of a classroom is 22 feet in length and 24 feet in width. A scale drawing of the floor has a length of 11 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The scale floor's perimeter is 34 inches.
What is meant by perimeter?The overall length of a form's boundary is referred to as the perimeter of that shape. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet. The perimeter is the space surrounding a shape's edge. Get the perimeter of various forms by multiplying their side lengths.The circumference of an object is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.To solve, we can set up fractions:
21/7 = 30/x
Cross multiply and you get:
21x = 210
Divide each side by 21:
x = 10
You can apply the following equation since you're attempting to determine the floor's perimeter:
2w + 2l = p
Substitute to solve:
2 ( width = 10 )
2 ( length = 7 )
2 (7) + 2 (10) = p
14 + 20 = p
34 = p
The complete question is:
The rectangular floor of a classroom is 21 feet in length and 30 feet in width. A scale drawing of the floor has a length of 7 inches. What is the perimeter, in inches, of the floor in the scale drawing?
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Please answer both questions in the photo!!! (20p)
Answer:
(2.4, 2)
(4, -3.4)
Step-by-step explanation:
Brainliest Please
-12x3^2+36 please ty
Answer:
-72
Step-by-step explanation:
Answer:
-72
Step-by-step explanation:
multiply-12 x3^2 and then add 36
2/ac + 1/ab + 3/bc = ?
Answer:
Abc
Step-by-step explanation:
2b + c + 3a = Abc
What is -8/9 divided 2/3??
Answer:
-1.33333333333
Step-by-step explanation:
Answer:
-1 1/3
Step-by-step explanation:
The population in a small town is increasing annually by 2.8%. What is the quarterly rate of population increase?
Answer:
To find the quarterly rate of population increase, we first need to find the annual rate of population increase in decimal form, which is 2.8% expressed as 0.028.
To find the quarterly rate, we need to divide the annual rate by 4, since there are 4 quarters in a year:
0.028 / 4 = 0.007
Therefore, the quarterly rate of population increase is 0.007 or 0.7%
Which function has a range limited to only negative numbers?
Answer:
F (x)=-x^2
Step-by-step explanation:
You can work at most 20 hours next week. You need to earn at least $90 to cover
you weekly expenses. Your dog-walking job pays $7.50 per hour and your job as a
car wash attendant pays $6 per hour. Write and graph a system of linear
inequalities to model the situation. Use the graph to list 3 solutions
The system of inequalities is.
x + y ≤ 20
x*7.5 + y*6 ≥ 90
And some solutions can be:
(10, 5)
(11, 5)
(12, 6)
How to write the system of inequalities?Let's define the variables we will be using:
x = number of hours dog-waling
y = number of hours at the car wash.
We know that you can work at most 20 hours, then:
x + y ≥ 20
And you need toearn at least $90, then wecan write:
x*7.5 + y*6 ≥ 90
The system of inequlities is:
x + y ≤ 20
x*7.5 + y*6 ≥ 90
And the graph is the one below. The solutions are all the points in the dark blue region, some solutions we can see there are:
(10, 5)
(11, 5)
(12, 6)
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Which shape has two pairs of parallel sides
The shape with two pairs of parallel sides is called a parallelogram.
What is a paralellogram?A parallelogram is a shape that has four sides, in which the two opposite lengths are:
Parallel to each other.Have the same measure.As there are four sides, divided two by two, the shape has two pairs of parallel sides, and is called a parallelogram.
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How many solutions does the system of liner equations represented in the graph
Answer:
Infinite solutions
Step-by-step explanation:
There are an infinite number of solutions. If you have a system of linear equations, the solution for the system is the value that makes all of the equations true. For two variables and two equations, this is the point where the two graphs intersect.
Write the number
five million four thousand three hundred
in standard form.
The required five million four thousand three hundred in standard form is 5,004,300.
What is a number system?A number system is described as a technique of composing to represent digits. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
In the question, we are asked to write the word of the number five million four thousand three hundred in standard form.
So,
five million four thousand three hundred = 5,004,300
Since
1 million = 1000, 000
1 thousand = 1000
1 hundred = 100
Thus, the required five million four thousand three hundred in standard form is 5,004,300.
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to find the value of a numerical or algebraic expression is called?
The process of finding the value of a numerical or algebraic expression is called evaluation.
Evaluation involves substituting the given values of the variables in the expression and then simplifying the expression using the order of operations (PEMDAS).
For example, if we are asked to evaluate the expression 3x + 2y when x=4 and y=5, we would substitute these values to get 3(4) + 2(5), which simplifies to 12 + 10 = 22. Therefore, the value of the expression 3x + 2y when x=4 and y=5 is 22.
In algebra, evaluation is an important process because it allows us to find the value of an expression for specific values of the variables, which can help us to solve equations or inequalities, and to simplify expressions.
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I need some help please
Answer:
32
Step-by-step explanation:
Substitute values given into the expression :
3[2(1)+(3)]-4[((1)-(3)]+(3)²
3[5]-(-8)+9
15+8+9 =
32
Hope this helped and have a good day
Solve for x
A. Solve using the change of base formula.
Logby= log y/log b
B. Solve using a different method.
C. verify your solutions by substituting your value back into the original equation.
A) By using the change of base formula, the solution of the expression is,
⇒ x = - 2/3
B) The solution of the expression is,
⇒ x = - 2/3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5³ˣ⁻² = 125²ˣ
Now, We have the change of base formula,
⇒ [tex]log_{b} y = \frac{log y}{log b}[/tex]
Here, The expression is,
⇒ 5³ˣ⁻² = 125²ˣ
⇒ 5³ˣ⁻² = 5⁶ˣ
Take log on both side,
⇒ log 5³ˣ⁻² = log 5⁶ˣ
⇒ (3x - 2) log 5 = 6x log 5
⇒ 3x - 2 = 6x
⇒ - 2 = 6x - 3x
⇒ 3x = - 2
⇒ x = - 2/3
B) By using another method as;
The expression is,
⇒ 5³ˣ⁻² = 125²ˣ
⇒ 5³ˣ⁻² = 5⁶ˣ
By comparing we get;
⇒ 3x - 2 = 6x
⇒ - 2 = 6x - 3x
⇒ 3x = - 2
⇒ x = - 2/3
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Point value: 15
Please HELP!
Answer:
There are three terms in the given expression.
Step-by-step explanation:
First, a term is a single individual value on which mathematical operations occur in an algebraic expression. Essentially, terms are every part of an expression that is separated by any mathematical operation, such as PEMDAS. In the expression [tex]\frac{v}{3} -4*2[/tex], [tex]\frac{v}{3}[/tex], -4, and 2 are all terms. Therefore, there are three terms in the given equation.
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Ann borrowed $8000 at a rate of 15%, compounded annually. Assuming she makes no payments, how much will she owe after 6 years?
Answer:
Ann will owe $15,258.23 after 6 years, assuming she makes no payments.
What is Compound Interest ?
Compound interest is a method of calculating interest on a loan or investment, where interest is earned on both the initial principal amount and on any interest that has already been earned. In other words, interest is added to the principal, and then interest is calculated on the new total amount (the principal plus the previously earned interest). This results in the interest earned growing exponentially over time.
According t o given condition :
To calculate the amount Ann will owe after 6 years, we can use the formula for compound interest:
A = P(1 + r/n)^(n*t)
where:
A = the amount Ann will owe after 6 years
P = the initial principal amount borrowed, which is $8000 in this case
r = the annual interest rate as a decimal, which is 15% or 0.15
n = the number of times interest is compounded per year, which is once annually in this case
t = the number of years, which is 6 in this case
Plugging in these values, we get:
A =
A =
A = $15,258.23
Therefore, Ann will owe $15,258.23 after 6 years, assuming she makes no payments.
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4. A line segment has two end-points M(3, 7) and N(11, -6). Find the coordinates of the point W that lies on the y-axis such that W is equidistant from M and from N.
would appreciate a step by step answer (quickly please)
The coordinates of point W which is equidistant from M and N ( 7, 1 / 2).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the points are M(3, 7) and N(11, -6). The coordinates of the midpoints are,
W = ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2
W = ( 3 + 11 ) / 2, ( 7 - 6 ) / 2
W = 14 / 2, 1 / 2
W = 7, 1 / 2
Hence, the value of the coordinate of the midpoint is ( 7, 1 / 2 ).
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find missing value
i rlly need help thanks
The missing value using concept of similar triangle ratio is; 35
How to find the length of similar triangles ?Similar triangles are defined as triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Using the concept of similar triangles on the given diagram, we have;
p/(30 + 20) = 14/20
p = (14 * 50)/20
p = 35
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WILL MARK BRAINLIEST drag and drop the discriptions into the box to correctly classify each pair of number angles each may be used more then once
Answer: 1 and 2 = vertical
3 and 4 = adjacent