Answer:
2pi/5
Step-by-step explanation:
The only thing in this equation that affect the period is the '5' in front of the 'x'
cos period is usually 2pi
this is compressed by 5
period = 2pi/ 5
General equation
y=Acos(Bx+C)+DOur Equation
y=-4cos(5x-9)-7On comparing
A=-4B=5C=-9D=-7Now
Period
2π/B2π/5Two elves can make 5 toys in 10 minutes
How many toys can four elves make in 30 minutes?
Answer:
Step-by-step explanation:
two elves 5 toys 10 minutes
four elves 10 toys 10 minutes
four elves 30 toys 30 minutes
Fluency in the conversion of the metric system to the Imperial System is an essential skill in the nursing profession. Think of a situation in which negative effects have occurred due to incorrect dosage calculations? This situation could be a personal experience, the experience of someone you know, or a hypothetical. Explain how this error could have been avoided. How will you ensure that you avoid dosage errors due to metric conversions in your future career as a nurse?
In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.
~~~Harsha~~~
Choose the expressions that will help find the total cost of an item that costs $a if the sales tax is 6%. Select all that apply. Multiple select question. cross out A) 1.06 · a, because this multiplies the cost by 100% and by the sales tax to give the total cost. cross out B) a − 6a, because this shows the price of the item without the sales tax. cross out C) 1.6a, because this gives the cost of the item including the 6% sales tax. cross out D) 0.06a + 1a, because this shows the cost of the sales tax and the cost of the item. cross out E) a + 0.06a, because this multiplies the cost by 100%, and adds 6% of the cost of the item.
Answer:
A,D,E
Step-by-step explanation:
those are the correct answers
The correct expressions are A) 1.06 · a, which represents the total cost after adding the 6% sales tax, and possibly B) a - 6a, if we interpret it as the cost before the sales tax is applied (though this expression is not stated very clearly).
Let's analyze the given expressions to determine which ones are correct for finding the total cost of an item that costs $a with a 6% sales tax:
Cross out A) 1.06 · a: This expression is correct. It multiplies the cost by 100% and then adds 6% of the cost (which is the sales tax) to find the total cost.
Keep B) a - 6a: This expression is incorrect. It subtracts 6 times the cost from the cost itself, which doesn't make sense in the context of finding the total cost with sales tax.
Cross out C) 1.6a: This expression is incorrect. It gives the cost of the item including a 60% sales tax, not a 6% sales tax.
Cross out D) 0.06a + 1a: This expression is incorrect. It adds the cost of the sales tax (6% of the cost) to the cost of the item itself, but it doesn't accurately represent the total cost.
Cross out E) a + 0.06a: This expression is incorrect. It adds 6% of the cost to the cost itself, but it doesn't take into account multiplying by 100% to get the total cost.
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Two numbers are in the ratio 7:5. The smaller number is 16 less than the bigger number. What is the bigger number ?
Answer:
The bigger number is 56
Step-by-step explanation:
\(\frac{x}{y}\) = \(\frac{7}{5}\) cross multiply
5x = 7y
y = x -16 substage x-16 in the equation above for y
5x = 7( x - 16)
5x = 7x - 112 Subtract 7x from both sides
-2x = -112 Divide both sides by -2
x = 56
Check:
y = x - 16
y = 56 - 16
y = 40
5x = 7y
5(56) = 7(40)
280 = 28
y = x - 16
40 = 45-16
40 = 40
which equation is point slope form represents a line with m equals -1/2 that goes through the origin
Answer:
see below
Step-by-step explanation:
The origin is (0,0) m = -1/2
Point slope form is
y-y1 = m(x-x1) where m is the slope
y -0 = -1/2 ( x -0)
y = -1/2x
f(x) = 4x^2 + 2x + 6
What is the value of the discriminant of f?
How many distinct real number zeros does f have?
Answer:
The Discriminant of the function is -92
It has ZERO distinct real number zeros.
Step-by-step explanation:
The sum of a rational number and an irrational
number is _______
rational .
A . sometime
B. never
Answer:
NEVER------------------Step-by-step explanation:
The sum of a rational number and an irrationalnumber is Neverrational .F(x) = 3x + 2
What is f(5)
Step-by-step explanation:
to find f(5) in f(x) , just put in '5' where 'x' is in the equation
f(5) = 3 (5) + 2 = 17
Answer:
f(5) = 17
Step-by-step explanation:
Let's evaluate the function for f(5)
\(\rm{f(x)=3x+2}\)Insert 5 everywhere x appears:
\(\rm{f(5)=3(5)+2}\)\(\rm{f(5)=15+2}\)\(\rm{f(5)=17}\)Therefore f(5) = 17
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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Find the area of an equilateral triangle with side 12.
The area of an equilateral triangle is given by
\(A=\frac{\sqrt[]{3}}{4}a^2\)where a is the side length of the triangle.
Now, for our case a = 12; therefore, the above formula gives
\(A=\frac{\sqrt[]{3}}{4}(12)^2\)\(A=36\sqrt[]{3}\)In decimal form this is
\(A=62.3538\text{ square units.}\)What is the measure of m?
n
28
m
7
V[?]
m =
Answer:
y geometric mean property,n² = 28 × 7 = 196n = 14.By pythagorean
Step-by-step explanation:
Find the population (P) of a town growing at 15% each year after (n) years
Use formula P=6,000 x 1.5 to the power of (n)
Based on an exponential growth function, P = 6,000 (1.15)ⁿ, the population of the town with an initial population of 6,000 growing at 15% annually after n years is 15,960.
What is an exponential growth function?An exponential growth function is one of the two exponential functions, including an exponential decay function.
An exponential growth function is written in the form of y = abˣ, where y is the ending value after time x (the exponent), a is the initial value, and b is the growth factor based on a constant rate of growth.
The current population of the town = 6,000
The growth rate per year = 15% = 0.15
Growth factor = 1.15 (1 +1.15)
The number of years of growth, n = 7 years
Exponential Growth Function:P = 6,000(1.15)ⁿ
P = 6,000(1.15)⁷
P = 15,960
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Classify each triangle by its angles and sides. 30 points
The triangles are represented as isosceles , scalene , right and equilateral triangles
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
a)
The triangle have two equal angles
It is a scalene triangle
b)
The triangle is a right angle at ∠ABC = 90°
It is a right triangle
c)
The triangle has different lengths
It is a scalene triangle
d)
All the sides and angles are equal
It is an equilateral triangle
e)
The triangle is a right angle at ∠BAC = 90°
It is a right triangle
f)
The triangle has different lengths and different angles
It is a scalene triangle
g)
All the sides and angles are equal
It is an equilateral triangle
h)
The triangle have two equal sides
It is a scalene triangle
Hence , the triangles are solved
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Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answer:
x^2+2x-8
Step-by-step explanation:
x^2+2x-8 = (x+4)(x-2)
Answer: A. x^2 -2x -8
Step-by-step explanation:
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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using the following table, what is the percent of the relative frequency of a blue car being observed?
An observation of a blue automobile occurs at 20.8% of the relative frequency.
What is Relative frequency?The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
Divide each frequency by the overall sample size, in this example 20 students, to determine the relative frequencies.
Example: Out of a total of 12 games played, your team has won 9 of them, making its winning percentage 9 percent. 9/12, or 75%, is the relative frequency of winning.
So, we have:
RF(A) = f(A) / ∑f
Where f(A) is the frequency of event A and ∑f is the total frequency.
(Refer to the table attached below)
Total car = 251 + 198 + 195 + 293 = 937
The relative frequency of blue cars is as follows:
RF(blue) = 195 / 937 = 0.208 = 20.8%
Therefore, an observation of a blue automobile occurs at 20.8% of the relative frequency.
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Complete question:
Using the following table, what is the percent of the relative frequency of a Blue car being observed? Car Color Frequency Relative FrequencyBlack 251 0.251Red 198 0.198Blue 203 0.203Silver 293 0.293A. 20.3%B. 0.002%C. 23.625%D. 2.03%
Campsite A and campsite B are located directly opposite each other on the shores of Lake Omega, as
shown in the diagram below. The two campsites form a right triangle with Sam's position, S. The distance
from campsite 8 to Sam's position is 1,300 yards, and campsite A is 1,700 yards from his position.
A
1,700 yards
Lake Omega
B
1,300 yards
S
What is the distance from campsite A to campsite B, to the nearest yard?
Answer:
c
Step-by-step explanation:
Find the equation of the quadratic function whose graph is a parabola containing the points (0,2), (3,26), and (-1,6).
The equation of the quadratic function whose graph is a parabola containing the given points is y=
Answer: y = 3x^2 -x + 2
Step-by-step explanation:
4x <64 what is the answer
Answer:
x < 16
Step-by-step explanation:
4x < 64
To solve for x, we simply divide by 4 on both sides. This results us with:
x < 16
#teamtrees #WAP (Water And Plant)
4x <64
Divide both sides by 4:
x < 16
A river flows at the rate of 3 miles per hour. What is the rate in seconds per mile ?
Answer:
SOLUTION: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water
Algebra -> Human-and-algebraic-language -> SOLUTION: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water
Step-by-step explanation:
PLS BRAINLIESTE
As c decreases,does the value of x increase,decrease,or stay the same for each equation? Assume c is positive.
Answer:
look below
Step-by-step explanation:
rearrane the first equation by subtracting c you get
x=-c
if C decreases
x=-16
×=-15
therefore x increases
2) I dont know what that equation is
3)times both sides ny c
x=c
c deacreases x decreases
What is 10x100000
Someone Please help me
I'm a Crazy Kid
Answer: 1000000
Step-by-step explanation:
Answer:
answer 1000000
have a nice day
Which steps are needed to solve this equation? . b + 6 = 21 Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b. Subtract 6 from the left side and add 6 to the right side of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to both sides of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to the left side and subtract 6 from the right side of the equation. The answer is b = 15. Check the solution by substituting 15 for b. edge
The solution by substituting 15 for b in the Original equation. The answer is true.
The steps needed to solve the equation b + 6 = 21 are:
Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.
Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.
Therefore, the correct steps to solve the equation are:
Subtract 6 from both sides of the equation. The answer is b = 15
the solution by substituting 15 for b in the original equation. The answer is true.
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Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
Here's a graph that shows a system of equations for this scenario where is the number of books Aaden borrows and y is the total cost of the subscription. What does point r represent in this context
The point R in the context refers to the break even point where the cost for aaden is same when either he take the annual fee or borrow
What is referred to as break even point?The break-even point is a term commonly used in business and finance to refer to the point at which total revenue equals total costs, resulting in neither profit nor loss. In other words, it is the level of sales or production volume at which a company or project covers all its expenses and generates zero net income.
At the break-even point, the revenue generated from selling a product or service covers both the variable costs (costs that vary with the level of production, such as raw materials or direct labor)
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what is the factor form of x^12^18+1
Answer:
2
6
6
2
3
3
3
3
2
8
0
8
8
5
2
4
3
9
0
4
+
1
Step-by-step explanation:
Answer:
2 6 6 2 3 3 3 3 2 8 0 8 8 5 2 4 3 9 0 4 + 1
Step-by-step explanation:
2x-9= -11please explain how you would solve the problem
solve for x
\(\begin{gathered} 2x-9=-11 \\ 2x-9+9=-11+9 \\ 2x=-2 \\ \frac{2x}{2}=-\frac{2}{2} \\ x=-1 \end{gathered}\)Answer the questions below. I need answer for letter (c)
Answer:
C is the answer, please choose the letter C that's the answer
Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5
Answer:
LR = 13
Step-by-step explanation:
LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side
LA = 5
AR = 12
5² + 12² = LR²
LR² = 25 + 144
LR² = 169
LR = √169 = 13
why is ÷ by five a step, there did this 5 come from if its not in the inequality?
Answer:
You divide by five because it's the common factor of 5 and 15 in the 4th line of work and the goal is to solve for x. The only way to get x alone in the inequality 5x>15 is to divide each side by 5. This would give you x and 3, hence the answer: x > 3
\(\frac{5x}{5} =x\\\\\frac{15}{5} =3\)
Which of the equations are true identities?
A. (a+b)(2a+1)=a(2a+2b+1)
B. (n+2) 2 −n 2 =4(n+1)