2n + 3 = -3n + 5n
= 2n + 3 = 2n
= 3 = 0
= ø
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ACDE=AOPQ?
Check all that apply.
A. SAS
B. AAS
C. HA
D. ASA
E. LL
F. HL
On solving the provided question, we can say that by AAS property both triangles are congruent.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in this triangle
one sides are equal
and two angles are equal.
so by AAS property they are congruent/
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Using the Law of Sines to find a triangle with one obtuse angle if
After using law of sine the measure of triangle ∠B=50° , ∠C= 85° and
c= 36.4.
What is sine law?
According to the law of sine, or sine law, the ratio of a triangle's side length to the sine of the opposing angle remains constant for all three sides. The sine rule is another name for it.
Here the given triangle measures are , ∠A = 45° , a = 26 and b=28.
Now using sine law then
=> [tex]\frac{a}{sin A} = \frac{b}{sin B}[/tex]
=> [tex]\frac{26}{sin 45} = \frac{28}{sin B}[/tex]
=> sin B = [tex]\frac{28\times sin 45}{26}[/tex]
=> sin B =0.7615
=> ∠B= 49.60° ≅ 50°
Now we know that sum of all angles in triangle is add upto 180°.
=> ∠A+∠B+∠C = 180°
=> 45°+50°+∠C = 180°
=> ∠C = 180°-95° = 85°
Now again using sine law then
=> [tex]\frac{b}{sin B} = \frac{c}{sin C}[/tex]
=> [tex]\frac{28}{sin 50}=\frac{c}{ sin85}[/tex]
=> c = [tex]\frac{28\times sin 85}{sin 50}[/tex]
=> c = 36.4
Hence the answers are ∠B=50° , ∠C= 85° and c= 36.4
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12. Joel was given instructions to observe, measure and grade this sprinkler (see Figure 1). Holes need
to be spaced 15mm apart, but the company can accept a 1mm allowance either way. Joel left his notes
highlighting sections A and B. Examine Figure 1 and tell what you think your measurements of sections
A and B would be (don't use a ruler). Explain why you gave the answers you did. (3 points)
Length of A:
Explanation:
I
mm
+2
B
Length of B:
mm
Figure 1
The sprinkler's holes have to be 15mm apart and can have a 1mm allowance that space B is bigger than space A, and the notes in space B say "+2" while space A says "-3".
How to calculate length?If you have the area A and width w , its length w is determined as h = A/w . If you have the perimeter P and width w , its length can be found with h = P/2−w . If you have the diagonal d and width w , it's length is h = √(d²−w²)Each rectangular shape is characterized by two dimensions, its length, and width. The longer side of the rectangle is known as the length and the shorter side is known as the width.To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'. Then substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is, P = 2 (l + A/I)To learn more about length refers to:
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During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = –16t2 + 65t and the height of a bird over time is modeled by the equation h = 8t + 20. What do the intersection points of the equations represent?
If during a baseball game, a player hits a ball while a bird is flying across the field. The intersection points of the equations represent: C the time when the height of the ball and the bird are the same.
What is intersection points?Intersection points can be defined as the points in which two lines meet or equate.
Height of the baseball over time = h = –16t2 + 65t
Height of a bird over time = h = 8t + 20
Where:
t represent the time in seconds
h represent the height in feet
–16t² + 65t = 8t + 20
-16t² +57t -20 =0
So,
t = -57 ±√57² -4×(-16) × (-20) / 2× (-16)
t = -57±√3249 -1280/ -32
t = -57 ±√1969 /-32
t = -57 + 44.373 / -32
t = -12.627 /-32
t =.395
t = -57 - 44.373 / -32
t = -101.373 /-32
t =3.168
Based on the above the time when the height of the ball and the bird are the same are the intersection points.
Therefore the correct option is C.
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The complete question is:
During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = –16t2 + 65t and the height of a bird over time is modeled by the equation h = 8t + 20. What do the intersection points of the equations represent?
the height of the bird and the ball when the ball and the bird are the same distance from the player
the height of the bird and the ball when the player hits the ball
the time when the height of the ball and the bird are the same
the time when the ball and the bird hit the ground
Which best describes the sequence of transformations that maps JKLM to PORS?
The translation left 2 and down 5 units, then dilation centered at the origin with scale factor 1/3 best describes the sequence of transformations that maps JKLM to PQRS. The solution has been obtained using the concept of transformations.
What is transformation?
An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation.
The shape in two dimensions before any alteration is known as a pre-image or inverse image. The shape after transformation is the image.
In order to find that which option best describes the transformation, we need to evaluate all the options.
A. reflection over line n, then dilation centered at the origin with scale factor 3
This is not the correct description of the transformation because PQRS is 1/3 of JKLM and 2 units left and 5 units down to the original which is not described in the statement.
B. reflection over line n, then dilation centered at the origin with scale factor 1/3
This is not the correct description of the transformation because PQRS is 1/3 of JKLM which is correct but it is also 2 units left and 5 units down to the original which is not described in the statement.
C. translation left 2 and down 5 units, then dilation centered at the origin with scale factor 3
This is not the correct description of the transformation because PQRS is 1/3 of JKLM which is not described in the statement.
D. translation left 2 and down 5 units, then dilation centered at the origin with scale factor 1/3
This is the correct description of the transformation because PQRS is 1/3 of JKLM which is correct ,it is also 2 units left and 5 units down to the original which is described in the statement.
Hence, the translation left 2 and down 5 units, then dilation centered at the origin with scale factor 1/3 best describes the sequence of transformations that maps JKLM to PQRS.
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Problem #3
Ngozi earns $24,000 in salary in the first year she works as an interpreter. Each year, she earns a
3.5% raise.
Write a function that gives Ngozi's salary S(t), in dollars, t years after she starts to work as an
interpreter.
Do not enter commas in your answer.
S(t)
=
oblem #4
The exponential function f. whose graph is given below, can be written as f(a)=a-b.
The function that gives Ngozi's salary is S(t) = 24,000(1.035)^t. Where t is the number of years after she starts to work.
What is an exponential function?
A mathematical function of form f (x) = a^x is an exponential function. where x is a variable and an is a constant known as the function's base. The transcendental number e, which is approximately 2.71828, is the most commonly encountered exponential-function base.
Given that the starting salary is $24,000.
Each year, she earns a 3.5% raise.
The increase of salary follows a compound.
The formula of compound is
A =P(1+r)^t.
Here P= 24,000, r = 3.5% = 0.035.
After t year, the salary will be:
S(t) = 24,000(1+0.035)^t
S(t) = 24,000(1.035)^t.
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Maddox has 123 black-and-white photos and 174 color photos. He wants to place them on photo pages that have 9 photo holders per page. Can he fill the pages without any photos left over? Explain.
The pages of the photo holder, given the number of pictures that Maddox has, can be filled without any photos left over.
How to find the number of pages ?To find out if Maddox will be able to fill up the pages of the photo holders without there being any leftovers, you need to first find the total number of photos that Maddox has.
The total is:
= 123 black-and-white photos + 174 color photos
= 297 photos
Each photo holder holds 9 pictures so the number of pages needed is:
= 297 / 9
= 33 pages
This shows that no photo will be left over.
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What are the first five terms in the recursive sequence defined by the following?
a_1= 150
a_n= 0.85a_n-1
The first five terms in the recursive sequence defined by a_1 = 150 and a_n = 0.85a_n-1 are:
a_1 = 150
a_2 = 0.85150 = 127.5
a_3 = 0.85127.5 = 108.375
a_4 = 0.85108.375 = 91.8125
a_5 = 0.8591.8125 = 77.853125
What is a recursive sequence?A recursive sequence is a sequence of numbers where each successive term is determined by the value of previous terms, typically by applying a mathematical operation to those terms.
Therefore, the first five terms in the recursive sequence are 150, 127.5, 108.375, 91.8125, and 77.853125.
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Solve for y: y + 17 = 35 -52 52 -18 18
Answer:
18
Step-by-step explanation:
y+17=35
y=18
Question 2
For the equation, x² - 16x + 4 = 0 answer the following questions:
5 pts
On solving the provided question, we can say that the equation, x² - 16x + 4 = 0 => ( x - 12)(x + 2) = 0 => x = 12, -2
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation,
x² - 16x + 4 = 0
( x - 12)(x + 2) = 0
x = 12, -2
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6. In the expression –¼x + 3,
Gianna factored the expression and wrote: –(¼x – 3)
Hannah factored the expression and wrote: –1(¼x – 3)
Both Gianna and Hannah claim to be correct. Do you agree? Why or why not?
Both Gianna and Hannah are correct, as the lone difference is that Gianna kept the one hidden while Hannah did not.
How to factor the expression?The expression for this problem is given as follows:
y = -x/4 + 3.
Gianna's factoring is given as follows:
-(x/4 - 3).
The negative represents the distributive property, meaning that it changes the signal of each term inside the expression, hence:
-(x/4 - 3) = -x/4 + 3.
Which is correct.
Hanna's factoring is given as follows:
–1(¼x – 3)
Which is the same as Gianna's, as -(x/4 - 3) and -1(x/4 - 3) is the same expression, just for the first the one is hidden.
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Find the quotient. If possible, rename the quotient as a mixed number. Select the answer that is in simplest form. 2/5 ÷ 2/8
A. 1 2/5
B. 2 1/5
C. 1 3/5
option c. 1 3/5
2/5 ÷ 2/8
= 2/5 × 8/2
= 8/5
= 1 3/5
Hence, option c. 1 3/5
which relationship would most likey have no correlation?
A the number of pizzas ordered, and the the total price of the bill
B The number of miles driven, and the number of gallons of gas in the car
C a person’s height and the person’s shoe size
D a person’s age, and the adress aof the person
Answer:
D
Step-by-step explanation:
Age and adress have quite less. In common
Answer:
A
Step-by-step explanation:
the number of pizzaordered
Sara is considering ordering a large pizza from two different shops. Pizza
4 U charges $14 plus $1.25 per topping. John's Pizza charges $10 plus
$1.50 per topping. Which inequality could be solved to find the number of
toppings that makes Pizza 4 U less expensive than John's Pizza?
Answer:
C
Step-by-step explanation:
Let x = number of toppings.
Pizza 4 U price:
14 + 1.25x
John's Pizza price:
10 + 1.5x
We want Pizza 4 U to be less expensive.
Pizza 4 U price < John's Pizza price
14 + 1.25x < 10 + 1.5x
-0.25x < -4
0.25x > 4
Answer: C
Answer:
C) 0.25x > 4
Step-by-step explanation:
Define the variable:
Let x be the number of pizza toppings.If Pizza 4 U charges $14 plus $1.25 per topping:
14 + 1.25xIf John's Pizza charges $10 plus $1.50 per topping:
10 + 1.5xIf Pizza 4 U is less than John's Pizza:
⇒ 14 + 1.25x < 10 + 1.5x
⇒ 4 + 1.25x < 1.5x
⇒ 4 < 0.25x
⇒ 0.25x > 4
Therefore, the inequality that could be solved to find the number of
toppings that makes Pizza 4 U less expensive than John's Pizza is:
C) 0.25x > 4Pedro wanted to know the height of the school gym. He measured the shadow from the gym on the
ground to be 40 feet and measured his own shadow to be 10 feet. Pedro is 5.5 feet tall. Find the height
of the gym. Show all work necessary to justify your answer.
Answer: We can use the relationship between the height of an object, the length of its shadow, and the length of the shadow of a person known to be a certain height, to find the height of the gym.
The relationship can be represented using the following proportion:
gym height / shadow of gym = Pedro's height / shadow of Pedro
We can set up the proportion and cross-multiply to get:
gym height * shadow of Pedro = Pedro's height * shadow of gym
We know that Pedro's height is 5.5 feet and his shadow is 10 feet, and the shadow of the gym is 40 feet, so we can substitute these values into the proportion and solve for the gym height:
gym height * 10 = 5.5 * 40
gym height = (5.5 * 40) / 10
gym height = 22 feet
So, the height of the school gym is 22 feet.
Step-by-step explanation:
Que es *Clasificación de polígonos por el numero de sus lados
Triángulo: 3 lados. Cuadrilátero: 4 lados. Pentágono: 5 lados. Hexágono: 6 lados.
Help on this calculus question please!
The given piecewise function value of k is [tex]\frac{1}{6}[/tex].
What is function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). The definition of a function is a relationship between a set of inputs and each output. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Here the given function is h(x)=[tex]\left \{ {{\frac{x-3}{x^2-9} for -3,3} \atop {k} for x=3 } \right.[/tex]
Here h(x) = [tex]\frac{x-3}{(x-3)(x+3)}[/tex] = [tex]\frac{1}{x+3}[/tex] for x≠3,-3
The given function h is continuous at x=3 then
[tex]\lim_{x \to \3} h(x)= \lim_{n \to \3} h(x) = h(3)[/tex]
=> [tex]\lim_{x \to \3} \frac{1}{x+3} = \lim_{x \to \2} k = k\\[/tex]
=> k = [tex]\frac{1}{3+3} = \frac{1}{6}[/tex]
Hence the value of k is [tex]\frac{1}{6}[/tex].
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i don’t not know how to solve. i need the complete answer please
Part (a)
[tex]D(1)=\frac{1000}{\sqrt{1}}-1=999 \\ \\ D(4)=\frac{1000}{\sqrt{4}}-1=499 \\ \\ \frac{D(4)-D(1)}{4-1}=\frac{499-999}{4-1}=\boxed{-\frac{500}{3}}[/tex]
Part (b)
[tex]D(100)=\frac{1000}{\sqrt{100}}-1=99 \\ \\ \frac{D(100)-D(4)}{100-4}=\frac{99-499}{100-4}=\boxed{-\frac{25}{6}}[/tex]
Kadeem has $50,000 in an account that compounds interest sem-annually at a rate of 1.8%. He withdraws $5,000 semiannually from the account
Will his money last:
4.5 years (yes or no), 5 years (yes or no), 5.5 years (yes or no), 6 years (yes or no)
The time taken will be; 5.3 years.
What is Compound Interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
Compound interest is when you receive interest on both your interest income and your savings.
Given that P = 50, 000
W= 5000
r= 1.8%= 0.018
n= 2
Now we know that , P = W (1- (1+ r/n)^{-nt}) / (r/n)
Putting all the values we get;
P = W (1- (1+ r/n)^{-nt}) / (r/n)
50000 = 5000 (1- (1+0.018/2)^{-2t}) / (0.018/2)
10 = (1- (1+0.009)^{-2t}) / (0.009)
0.09 = 1 - (1.009)^{-2t
(1.009)^{-2t = 0.91
Taking log on both side;
-2t log 1.009 = log 0.91
t= log 0.91/ (log 0.091) / (-20
t= 5.3
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Please help and show work, I've tried but can't figure it out.
(PICTURE INCLUDED)
Tim and Jan started at the same spot. Tim went 8 miles east and 15 miles north. Jan went 5 miles west and 12 miles north. How far apart are they? Round your answer to the nearest tenth.
Answer:
21.4 miles apart
Step-by-step explanation:
David calculations were wrong since the distance he measure were how far apart they both were together from the home and not from eachother.
simply just draw a line from the End point Jan is from Tim, you can see that it forms a third triangle to which you can use Pythagoras to figure the distance apart.
David already calculated the length of the two other sides being 13 and 17 so:
13^2 + 17^2 = c^2
458 = c^2
c = squareroot of 458
c = 21.4
therefore the distance between Jan and Tim was actually 21.4 miles
A. Explain the different strategies that Nicky and
Tavon used, and the advantages or **
disadvantages of each.
The different strategies are: Nicky collected the similar terms together, took the LCM and then solved for x. Tavon multiplied both sides of the equation by the lowest common denominator and then solved for x.
What is LCM?Finding the smallest common multiple between any two or more numbers is done using the least common multiple (LCM) approach. A number that is a multiple of two or more other numbers is said to be a common multiple.
Nicky collected the similar terms together, took the LCM and then solved for x. This method is quick but can result in wrong answer if the fractions are solved incorrectly.
Tavon on the other hand multiplied both sides of the equation by the lowest common denominator and then solved for x. The method is time consuming, yet it simplifies the equation significantly.
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how do i do this help please
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As we know, exterior angle of a triangle is equal to sum of the two internal angles that are not in linear pair with it (or opposite to that angle)
So, by using this property :
[tex]\qquad \sf \dashrightarrow \: 4x + 80 \degree = 2x\degree + 108\degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 4x - 2x \degree = 108\degree - 80\degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x \degree = 28\degree [/tex]
[tex]\qquad \sf \dashrightarrow \: x = (28 \div 2)\degree [/tex]
[tex]\qquad \sf \dashrightarrow \: x = 14\degree [/tex]
Angle Q is equal to :
[tex]\qquad \sf \dashrightarrow \: 2x [/tex]
[tex]\qquad \sf \dashrightarrow \: 2 \times 14 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 28 \degree[/tex]
pls help look on the images
You graph >7 with an open dot to the right.
The inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
What are inequality signsInequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:
Less than: <Greater than: >Less than or equal to: ≤Greater than or equal to: ≥These symbols are used in mathematical expressions and equations to compare values and express relationships between them.
Therefore, with a good understanding of inequality signs we conclude that:
On a graph, > 7 is with an open dot to the right.
Only the inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
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find the value of c round to the nearest tenth 150 12 C= [?]
The value of side c round to the nearest tenth is equal to 15.5 cm.
What is the law of sines?In Trigonometry, the law of sines is sometimes referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
Mathematically, the law of sines is modeled or represented by this mathematical expression:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
First of all, we would determine the angle subtended by side c;
Note: The sum of all the interior angles of a triangle is equal to 180.
a + b + c = 180
150° + 12° + c = 180°
c = 180° - 162°
c = 18°
By applying the law of sines, the side length of c is given by;
sin12/10 = sin18/c
c = 10sin18/sin12
c = 3.1/0.2
c = 15.5 cm.
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A waitress received a $2.25 tip for serving a dinner that cost $15.
What percent of the cost of the dinner was the tip?
O 20%
O 15%
O 18%
O 12%
On a dinner of cost $2.25, you want to add 15% to the bill. As a result, your lunch will cost more money overall $2.59.
How to find the calculation?In order to perform a computation, first change the 15% to an actual value. To do this with percentages, just divide the percentage (in this case, 15%) by 100. In terms of a precise mathematical value, the colloquial word "15%" thus becomes 15% / 100% = 0.15.You should next calculate the 15% portion of your $2.25 meal's cost.Always multiply 0.15 by $2.25 to arrive at this figure.
0.15 x $2.25=$0.34.
Your planned tip is $0.34, so that is how much you will give.As a result, your lunch will cost more money overall (to write on your charge slip or other payment)$2.25 + $0.34 = $2.59.
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A cup of coffee has temperature 98°C and takes 45 minutes to cool to 60°C in a room with temperature 19°C. Use Newton's law of cooling to find what the temperature of the coffee will be after t minutes. (Round your value for k to three decimal places.)
(b)
What is the average temperature of the coffee during the first forty-five minutes? (Round your answer to one decimal place.)
Answer:
Part A: [tex]T(t)=79e^{-0.015t}+19[/tex]
Part B: [tex]76.4^\circ \text{C}[/tex]
Step-by-step explanation:
Newton's law of cooling can be modeled with the general equation [tex]\displaystyle \frac{dT}{dt}=-k(T-T_a)[/tex] with solution [tex]\displaystyle T(t)=(T_o-T_a)e^{-kt}+T_a[/tex] for cooling. [tex]T(t)[/tex] represents the temperature of the coffee after [tex]t=45[/tex] minutes given the initial temperature [tex]T_o=98^\circ \text{C}[/tex] and room/air temperature of [tex]T_a=19^\circ \text{C}[/tex] with constant [tex]k[/tex].
Part A: Temperature of coffee after "t" minutes
[tex]T(t)=(T_o-T_a)e^{-kt}+T_a\\T(45)=(98-19)e^{-45k}+19\\60=79e^{-45k}+19\\41=79e^{-45k}\\\frac{41}{79}=e^{-45k}\\\ln(\frac{41}{79}) =-45k\\k\approx0.015\\T(t)=79e^{-0.015t}+19[/tex]
Part B: Average temperature of coffee after 45 minutes
[tex]\displaystyle T_{avg}=\frac{1}{b-a} \int\limits^b_a {T(t)} \, dt\\\\=\frac{1}{45-0}\int\limits^{45}_0 {(79e^{-0.015t}+19)} \, dt\\\\=\frac{1}{45}\biggr(\frac{79}{-0.015}e^{-0.015t}+19t\biggr)\biggr|_0^{45}\\ \\=\frac{1}{45}\biggr(\biggr(\frac{79}{-0.015}e^{-0.015(45)}+19(45)\biggr)+\frac{79}{0.015}\biggr)\\ \\\approx 76.4^\circ \text{C}[/tex]
A small business produces oak chairs and walnut chairs. The business can make at most 40 chairs per week. Materials cost $100 per oak chair and $150 per walnut chair. The business has a budget of $4500 per week for materials. Each oak chair sells for $400 and each walnut chair for $500. How many of each type of
chair should the business make each week to maximize income?
The most money an individual is allowed to earn in accordance with the law is known as their maximum wage, also referred to as their wage ceiling.
The inequality be [tex]I=400 x+500y[/tex].
What is meant by maximize income?A maximum wage, often known as a wage ceiling, is the maximum amount of money an individual is permitted to make under the law.
The amount of money, property, and other transfers of value obtained over a predetermined period of time in return for services or goods are often referred to as "income." Income is defined in accordance with the context in which the word is employed; there is no single, universal definition.
Let x be the oak chairs produced
y be the walnut chairs produced
[tex]$$x+y \leq 20 \\ \\100 x+150 y \leq 2400 \\ \\x \geq 0 \\ \\y \geq 0 \\ \\ I=400 x+500 y\end{array}\right.$$[/tex]
The inequality be [tex]I=400 x+500y[/tex].
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report (3,000 words), and begs Monica to type it for her. If Monica agrees, how long will it
take her?
If Monica agrees to type the report for her manager, she will take 40 minutes, based on the unit rate.
What is the unit rate coefficient?The unit rate refers to the coefficient of proportionality between two proportional quantities.
The unit rate is computed as the quotient of the total number and the typing speed or rate per minute.
In this situation, we are given the total words of the report and Monica's typing speed. Based on this, we can compute the time for her to complete the typing by dividing the total words by the typing speed.
The total number of words in the report = 3,000 words
Monica's typing rate per minute = 75 words per minute
The time for Monica to complete typing the 3,000-word report = 40 minutes (3,000/75).
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Question Completion:A report contains 3,000 words and the manager begs Monica to type it for her. If Monica agrees, how long will it take her, assuming Monica's typing speed per minute is 75 wpm?
Solve for x.
I NEED HELP IN THIS ONE PLEASE
Step-by-step explanation:
the case of 2 secants starting at the same point (L).
the product of the circle outer part with its total length (to the far circle arc) is constant for all secants from the same point.
so,
10(10 + 42) = 13(13 + x)
520 = 169 + 13x
351 = 13x
x = 351/13 = 27
The expression below was simplified using two properties of operations. 3(10n +2+14n)
Answer:
Associative property, then distributive property
Step-by-step explanation: