How is 10 ounces written using apothecary abbreviations?
Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:
oz x
10 ounces can be written as 10 oz in apothecary abbreviations.
Explanation:To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.
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Rolando had $120,000 in a CD at Big Bucks Bank, which just failed. If the FDIC insurance limit per depositor, per bank, is $250,000, how much will Rolando get back?
the answer will be 120,000
The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the pottery class brought in a total of $714. How many students are in the class this month?
please answerrrrrr
Answer:
[tex]17[/tex]
Step-by-step explanation:
Let the number of students in pottery class be [tex]x[/tex]
Price each student pays for the class = [tex]\$15[/tex]
Price each student pays for the material = [tex]\$27[/tex]
Total earning of pottery class = [tex]\$714[/tex]
We can write this in expression as-
[tex]15x + 27x = 714[/tex]
Solving the expression we get[tex]15x + 27x = 714\\42x = 714\\x = \frac{714}{42} \\x = 17[/tex]
There are total [tex]17[/tex] students in the class this month
What is the circumference of the circle shown below, given that the length of ED (the minor Arc) is 6?
The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygon have
The polygon would have 24 sides.
[tex]\frac{180n - 360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])
[tex]\frac{180n - 360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]
180n - 360 = 3,960
180n = 4,320
n = 24
PLEASE HELP ME ASAP !!!!!!
Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair? Jean can buy at least 4 pairs of earrings. Jean can buy more than 4 pairs of earrings. Jean can buy less than 4 pairs of earrings. Jean can buy at most 4 pairs of earrings.
10 An important aspect of ____________ is assigning people to various tasks and jobs?
Write an equivalent expression for 5x + 2y + 3x
The equivalent expression is 8x + 2y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x + 2y + 3x
Add like terms.
8x + 2y
Thus,
The final expression is 8x + 2y.
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Select the equation that most accurately depicts the word problem.
The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = 2L + 2(9)
68 = 9(L + 2)
68 = + 2(9)
68 = +
68 = 2(L - 9)
Answer:
68 = 2L + 2(9)
Step-by-step explanation:
What geometric term does the flight path of a plane on radar represent?
A line B plane C angle D point
the answer is A. Line
The Geometric Term that best approximates this reality is option A (A line).
Planes usually travel in a straight Line at constant Speed, Flight Path represents the Trajectory taken by the Plane and shown on radar, which can be either a Line or a Curve.
Hence, the Geometric Term that best approximates this reality is option A (A line).
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The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of the shortest side?
he length of the shortest side is 32
Similar triangles and scale factorsGiven the length if the sides of the triangle to be 8, 15 and 17. If the longest side of a similar triangle is 51, then the scale factor will be expressed as:
Scale factor = 51/17
Scale factor = 4
For the shortest side;
Length = 8 * scale factor
Length = 8 * 4
Length = 32
Hence the length of the shortest side is 32
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The petting zoo is not closed and the animals are not being fed by people.
write the statement that is logically equivalent to the statement
De Morgan's laws of distributing negation over disjunction and conjunction states that
Find the derivative of f(x) = 7 divided by x at x = 1.
The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the derivative of f(x) = 7 divided by x at x = 1.
so, we get,
F(x) = 7/x
Same as..
F(x) = 7x^-1
we know that,
d/dx (x^n) = n*x^n-1
so, using this, we get,
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
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Bob runs 5 miles in 38 minutes. at the same rate, how many miles would he run in 57 minutes?
Which equation exemplifies the Associative property of addition?
8+2=2+8
4+(2+1) = (4+2)+1
4+5=1+8
9(5•6)=(9•5)6
Answer:
Equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
Step-by-step explanation:
The associative property of addition says that:
if a,b and c are the three terms
Then,
a+(b+c)=(a+b)+c
which is given in the equation:
4+(2+1) = (4+2)+1
Hence, equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
3(6/8−1/2)+0.25 Please help with fractions
at a local pizza parlor, patrons have 2 choices of cheese and 14 choices of topping. in how many different ways can a patron choose 1 type of cheese and 1 type of topping?
30
28
16
2
A polygon has 10 sides. What is the measure of the interior angles of the polygon?
144 degrees is the measure of the interior angles of the polygon.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The sum of the measures of the interior angles of an n-sided polygon is given by the formula:
S = (n - 2) × 180 degrees
So, for a 10-sided polygon, we have:
S = (10 - 2) × 180 = 8 × 180 = 1440 degrees
To find the measure of each interior angle, we divide the sum by the number of angles (which is the same as the number of sides for a polygon):
m = S/n = 1440/10 = 144 degrees
Therefore, each interior angle of a 10-sided polygon has a measure of 144 degrees.
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Given the statement "If Jack’s pet is a pig, then Jack’s pet cannot fly,” which statement represents the converse?
q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly~q → ~p, where p = Jack’s pet cannot fly and q = Jack’s pet is a pig p → q, where p = Jack’s pet is a pig and q = Jack’s pet cannot flyq → p, where p = Jack’s pet is not a pig and q = Jack’s pet is a pig
the answer is A just had the practice quiz
Converse statement of "If Jack’s pet is a pig, then Jack’s pet cannot fly,” is given by " q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly."
What is converse statement?" Converse statement is defined as when the hypothesis and conclusion of a statement interchange or reversed."
According to the question,
Given,
p → q
Hypothesis of a statement 'p': If Jack’s pet is a pig
Conclusion of a statement 'q' : then Jack’s pet cannot fly
Converse of a statement is given by reversing hypothesis and conclusion we get,
q → p
Hypothesis of a statement 'q' : If Jack’s pet cannot fly
Conclusion of a statement 'p': then Jack’s pet is a pig
Hence, converse statement is given by q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly.
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Eric is hanging a rectangle mirror that has a diagonal of 47 inches with an angle of depression of 60°. How many square inches is the mirror?
Answer:
A) 956.5 in^2
Step-by-step explanation:
took the test
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1. 7, 1+i
2.
The polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros 7, 1 + i, and 1 - i is f(x) = x^3 - 9x^2 + 21x - 14.
Explanation:In mathematics, zeros are the x-values where a function touches or crosses the x-axis, or the values where f(x) = 0. When a polynomial has rational coefficients and you have a complex zero (a + bi), the conjugate of that zero (a - bi) also needs to be a zero of the polynomial. This is based on the Complex Conjugate Root Theorem. Hence, in this case, the other zero will be 1 - i.
Since you are given zeroes of 7, 1 + i, and 1 - i, the polynomial function of least degree is obtained by employing the Factor Theorem, which states that if k is a zero of a polynomial, then (x - k) is a factor of the polynomial.
Therefore, f(x) = (x - 7)(x - (1 + i))(x - (1 - i)) = (x - 7)(x^2 - 2x + 2). So, f(x) = x^3 - 9x^2 + 21x - 14 is the polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros.
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Which is a correct expansion of (2x+3)(2x^2-5)
A. 2x•2x^2+2x•(-5)+3•2x+3•(-5)
B. 2x•2x^2+2x•(-5)+3•2x^2+3•(-5)
C. 2x•2x^2+3•2x^2+2x^2•(-5)+3•(-5)
Answer: B
2X.2X^2+2X.(-5)+3.2X^2+3.(-5)
Step-by-step explanation:
(2X+3) (2X^2-5)
Cross multiply (2X+3) by (2X^2-5)
2X*2X^2+
2X*(-5)+
3*2X^2+
3*(-5)
= 2X*2X^2+2X*(-5)+3*2X^2+3*(-5)
A squirrel is traveling at a rate of 12 miles per hour. Write the rate in miles per minute.
1 hour = 60 minutes
12/60 = 0.2 miles per minute
k + k divided by 2 when k = 20
The length of a rectangle is 10 feet more than the width. if the perimeter of the rectangle is 180 feet, find the length and the width of the rectangle
fine the distance between 8 and 32
Given that 56 square equals 3,136 find the square of112
A survey at your school found that 792 in 1,220 students have a cell phone. what percent of the students in school has a cell phone? round to the nearest hundredth where necessary.
64.84% of the students in the school have a cell phone.
To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.
Find the fraction of students with cell phones: [tex]\( \frac{792}{1220} \)[/tex].
Divide to get the decimal: [tex]\( \frac{792}{1220} = 0.6484 \)[/tex].
Multiply by 100 to get the percentage: [tex]\( 0.6484 \times 100 = 64.84\% \)[/tex].
A stock market analyst observes the following for the price of two stocks that he owns, one of which is increasing at an exponential rate (geometric) and the other is increasing in a linear fashion (arithmetic).
Stock A: Equation: an = 15n + 130, where an is the value of the stock and n is the number of years.
Year Price
1 $145.00
2 $160.00
3 $175.00
4 $190.00
5 $205.00
Stock B: Equation: an = 36(1.09)n − 1, where an is the value of the stock and n is the number of years.
Year Price
1 $36.00
2 $39.24
3 $42.77
4 $46.61
5 $50.82
Assuming these stock values continue to increase in the same manner until retirement, which stock option is worth more in 50 years and how much more is this stock worth per share?
OPTIONS:
A) Stock B is worth more in 50 years, $1,575.84 more per share
B) Stock A is worth more in 50 years, $1,364.08 more per share
C) Stock B is worth more in 50 years, $1,796.87 more per share
D) Stock A is worth more in 50 years, $880.00 more per share
Stock B is worth more in 50 years, $1,575.84 more per share.
Explanation:To determine which stock option is worth more in 50 years, we need to find the value of each stock after 50 years.
For Stock A, we have the equation: an = 15n + 130. Plugging in n = 50, we get a50 = 15(50) + 130 = $880.
For Stock B, we have the equation: an = 36(1.09)n - 1, where n is the number of years. Plugging in n = 50, we get a50 = 36(1.09)^50 - 1 = $2,455.84.
Therefore, Stock B is worth more in 50 years, $1,575.84 more per share.