Answer:
amplitude = 6
midline = -4.5
Period =5
Step-by-step explanation:
17p5
Exponent:
Variable:
tify the term, coefficient, and the variable.
Term:
Coefficient:
For the given expression, the variable is p, coefficient is 17 and the exponent is 5.
Expression:
Expression refer the algebraic expression that consists of variables, numbers and math operators.
Given,
Here we have the expression 17p⁵
Now, we have to find the exponent, coefficient and variable.
As per the definition of exponent, the term exponent refers the power value of the expression.
So, the exponent is 5.
And the definition of coefficient is an integer that is written along with a variable or it is multiplied by the variable.
So, the coefficient is 17.
And the variable of this expression is p.
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Which graph represents the function f(x) = |x − 1| − 3 ?
Answer:
See picture below.
Step-by-step explanation:
f(x) = |x|
This absolute value will have a v shape, the "v" point at (0,0)
Next,
f(x) = |x-1|
This (-1) moves the v shape one unit to the right, "a translation to the right by 1."
Finally,
f(x) = |x-1| - 3
This (-3) moves the v shape down 3 units. This is why the answer is the original
f(x) = |x|
except it's moved right by 1, and down by 3.
Step-by-step explanation:
The graph that represents is translated right by 1 units and 3 unit up to form. Hence, graph (a) is correct.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The parent function of an absolute function is;
y = |x|
When a function is translated right by h units, the transformation rule by;
y = |x-h|
So:
|x-1|-3 means that it is translated right by 1 units
When a function is translated up k units, then the transformation rule is:
y = |x| + k
y = |x-1|-3
This means that it is translated right by 1 units and 3 unit up to form
Hence, graph (a) is correct
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Bilquis and her children went into a movie theater and she bought $60 worth of bags
of popcorn and pretzels. Each bag of popcorn costs $7.50 and each pretzel costs
$3.75. She bought 2 more bags of popcorn than pretzels. Graphically solve a system
of equations in order to determine the number of bags of popcorn, x, and the number
of pretzels, y, that Bilquis bought.
The number of bags of popcorn = 6
The number of pretzels = 4
Let the number of bags of popcorn = x
the number of pretzels = y
From the question, we have
she bought $60 worth of bags of popcorn and pretzels.
Each bag of popcorn costs $7.50 and each pretzel costs $3.75.
7.50x+3.75y = 60................(i)
She bought 2 more bags of popcorn than pretzels.
x-y = 2................(ii)
Solving equation (i) and (ii), we get
x = 6
y = 4
The number of bags of popcorn = 6
The the number of pretzels = 4
Addition:
The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.
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Juice A cost 0.10 more then per ounce than juice B. Ifa 12 ounce of juice A costs $564 what is the cost per ounce of juice B
bro I don’t know
1 ask your teacher
2 get sturdy
3
Three artists Richard, Allan and Shelby are painting the rooms of a building which
are numbered from 10 – 150. Richard has to work in all the rooms. Allan has to work in rooms
where the room number is a multiple of 3. Shelby has to work in rooms where the room number
is a multiple of 5. In which rooms will they all work together?
The rooms which the three artists Richard, Allan and Shelby will work together are room 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 making a total of 10 rooms.
Which rooms will the three artist work together?Richard works in all the roomsAllan works in rooms multiple of 3Shelby works in rooms multiple of 5Find the multiples of 3 and 5
Multiples of 3 = 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150The common multiples of 3 and 5 are; 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
Each common multiple represent a room
= 10 rooms
Therefore, the rooms which the three artist will work together is 10 rooms
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Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
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A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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I NEED HELP ASAP WITH THIS
Answer: Jorge would have to run 3 [tex]\frac{3}{8}[/tex] miles to reach his 23 mile goal.
Step-by-step explanation:
When you add 5 [tex]\frac{3}{4}+ 7 \frac{3}{8}[/tex]=[tex]13\frac{1}{8}[/tex]
[tex]13\frac{1}{8}+6 \frac{1}{2}=19\frac{5}{8}[/tex]
Now you can subtract [tex]19 \frac{5}{8}[/tex] from 23, which would give you [tex]3\frac{3}{8}[/tex], being the total amount of miles left to run. You can add the terms without a calculator as well, by making the fractions have a common denominator.
Hope this helps!
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
q^2+5/6q
The perfect square trinomial and binomial of the expression [tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] are [tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] + [tex]\frac{25}{144}[/tex] and [tex](q + \frac{5}{12}) ^{2}[/tex]
What is a perfect square expression?Perfect squares are numbers or expressions that are the product of a number or expression multiplied to itself. 7 times 7 is 49, so 49 is a perfect square. x squared times x squared equals x to the fourth, so x to the fourth is a perfect square.
[tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] expression can be made into a perfect square by adding the square of half the coefficient of q
coefficient of q = [tex]\frac{5}{6}[/tex]
Half of [tex]\frac{5}{6}[/tex] = [tex]\frac{5}{12}[/tex]
square [tex]\frac{5}{12}[/tex] we have [tex](\frac{5}{12}) ^{2}[/tex] which becomes [tex]\frac{25}{144}[/tex]
so the perfect square trinomial = [tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] + [tex]\frac{25}{144}[/tex]
the binomial is [tex](q + \frac{5}{12}) ^{2}[/tex]
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Answer the questions ⬇️
Answer:
page 1=45 points
page 2
1=30
2=10
3=56
page 3
$1000
Step-by-step explanation:
PLS QUICK How did the mountainous geography of Athens influence the economy?
The people of Athens mined gold for trade.
The people of Athens were unable to raise any crops.
The people of Athens focused on the military to protect their region.
The people of Athens relied on sea trade.
Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.
How did the terrain of Athens influence the economy ?Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.
The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.
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Help asap, please and thank you
To describe the temperatures for the week, we can apply the following statistical tools:
a) Find the mean, median, mode, and range.
c) Construct a line graph.
d) Construct a stem and leaf plot.
What are the statistical tools for describing temperatures?We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).
The mean temperature is the average, which shows the overall trend in temperature changes. It is computed by adding up the temperatures for the period and diving by the number of data values.
In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.
We can estimate the difference between the highest and lowest temperature for the week with the range.
A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.
Thus, we can use Options A, C, and D to describe the temperature.
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Question Completion:What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
a) Find the mean, median, mode, and range.
b) Survey people about the weather.
c) Construct a line graph.
d) Construct a stem-and-leaf plot.
The selling price of an item is a
function of the cost of
making the item. is it a function or not?
Yes, the selling price of an item is a function of the cost of making the item.
A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input.
Cost is often the expenditure incurred for producing a product or service that a firm sells. The selling price is the amount paid by the buyer to purchase a product or products.
The selling price of an item is a function of the cost of creating the item since the manufacturer must sell at a price higher than the cost of making the item in order to recoup his investment and make a profit.
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what’s the solution for 7x - 10x + 2x = -5
Answer:
x = 5
Step-by-step explanation:
Finding the solution is getting the value for x that makes the math sentence true.
7x -10x +2x = -5
Combine like terms (all the x terms can add together)
-x = -5
Multiply (or divide) both sides by -1
x = 5
36/(x-3)=4 thank uu :>
Answer:
12
Step-by-step explanation:
36 / (x - 3) = 4
multiply both sides by (x - 3):
(x - 3)(36 / (x - 3)) = 4(x - 3)
36 = 4(x - 3)
expand right side:
36 = 4x - 12
add 12 to both sides:
36 + 12 = 4x - 12 + 12
48 = 4x
divide both sides by 4:
48/4 = 4x/4
x = 12
Determine the distance between the points (−1, −4) and (−9, −8).
Answer:
The distance between these two points with coordinates (-1, -4) and (-9, -8) is 8.94 unites
Differentiate the function with respect to x. Shot steps
[tex]f'(x)=\frac{1}{\sqrt{1-(-4x^{2} + 3)^{4})^2} } 4.(-4x^2+3)^{3}[/tex] is differentiation of [tex]f(x)=sin^{-1}(-4x^{2} + 3)^{4}[/tex]
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The given function is [tex]f(x)=sin^{-1}(-4x^{2} + 3)^{4}[/tex]
By using chain rule we differentiated the function.
d/dx sin⁻¹x=1/√1-x²
[tex]f'(x)=\frac{1}{\sqrt{1-(-4x^{2} + 3)^{4})^2} } 4.(-4x^2+3)^{3}[/tex]
Hence,[tex]f'(x)=\frac{1}{\sqrt{1-(-4x^{2} + 3)^{4})^2} } 4.(-4x^2+3)^{3}[/tex] is differentiation of [tex]f(x)=sin^{-1}(-4x^{2} + 3)^{4}[/tex]
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Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Enter your answer as percentage, expressed to the nearest tenth of a percent, like this: 42.2%
Answer:
Step-by-step explanation:
1 white 1 green 1 blue + 2 reds = 5 balls
5 seen as a percentage
5%
Can someone help me how to get to this answer. What do you do to get to this answer
Answer:
Step-by-step explanation:
1 gallon = $29.95
Nikki needs 12.25 gallons, so,
12.25 gallons= 12.25 × 29.95 = $ 366.8875 = $ 366.89
For each problem, use implicit differentiation to find
dy at the given point.
Using implicit differentiation at the given point gives;
a) dy/dx = 4
b) dy/dx = -³/₈
How to carry out implicit differentiation?In implicit differentiation, what we are doing is that we are differentiating each side of an equation with two variables (usually x and y) by treating one of the variables to act as a function of the other. This implies the use of chain rule
13) x² + y³ = 5
Using implicit differentiation gives;
2x + y²(dy/dx) = 0
dy/dx = -2x/(y²)
At (-2, 1), we have;
dy/dx = -2(-2)/(1²)
dy/dx = 4
14) x³ = -4y² + 3
Using implicit differentiation gives;
3x² = -8y(dy/dx) + 0
dy/dx = -³/₈x²/y
At (-1, 1), we have;
dy/dx = -³/₈(-1)²/1
dy/dx = -³/₈
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What is this question √5 + √5
The simplification form of the expression √5 + √5 is 2√5 after adding like terms.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
√5 + √5
After adding like terms:
2√5
The question is:
Solve the expression:
√5 + √5
Thus, the simplification form of the expression √5 + √5 is 2√5 after adding like terms.
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2x + 3y = 13
4x - y =-2
Answer:
x = 1/2
y = 4
Step-by-step explanation:
Given equations:2x + 3y = 13 ----------------------(1)
4x - y = -2 ------------------------(2)
Multiply Eq. (1) by 2
2(2x + 3y) = 13 × 2
4x + 6y = 26 -------------------(3)
Subtract Eq. (3) from Eq. (2)
4x - y - 4x - 6y = -2 - 26
-y - 6y = -28
-7y = -28
7y = 28
Divide 7 to both sides
y = 4Put y = 4 in Eq. (2)
4x - 4 = -2
Add 4 to both sides
4x = -2 + 4
4x = 2
Divide 4 to both sides
x = 2/4
x = 1/2[tex]\rule[225]{225}{2}[/tex]
a) find x and y.
b) find x and y
c) find x and y
Using the proportionality theorem, to find the values of x and y, we have:
a. x = 1.25; y = 1.75
b. x = 15; y = 4
c. x = 3; y = 2
What is the Proportionality Theorem?According to the proportionality theorem, the side lengths of similar triangles have the same ratio, or are proportional to each other.
Using the proportionality theorem, we can find the following missing values of x and y.
a. (5 + x)/5 = 10/8 [proportionality theorem]
Cross multiply
8(5 + x) = (5)(10)
40 + 8x = 50
8x = 50 - 40
8x = 10
x = 10/8
x = 1.25
5/x = 7/y
Plug in the value of x
5/1.25 = 7/y
5y = 8.75
y = 1.75
b. x/5 = 18/6 [proportionality theorem]
6x = 90
x = 90/6
x = 15
12/y = 18/6
Cross multiply
18y = 72
y = 72/18
y = 4
c. x/6 = 1.5/3 [proportionality theorem]
3x = 9
x = 9/3
x = 3
y/4 = 1.5/3
Cross multiply
3y = 6
y = 6/3
y = 2
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Answer:
a. x = 1.25; y = 1.75
b. x = 15; y = 4
c. x = 3; y = 2
Step-by-step explanation:
Help pls and thx 20 points
a) 7y and (2y²-9) are the length and width expressions where one dimension is the GCF.
b) When y= 2, the area of the rectangle is -14
What is meant by area?The area amount expresses the size of a region on a planar or curved surface.
A two-dimensional figure's area is the amount of space it occupies. It is the number of unit squares that cover the surface of a closed figure in other words. Square units, which are frequently expressed as square inches, square feet, and so on, are the standard unit of area.
A rectangle is a two-dimensional figure, and if one of the dimensions is the GCF, as indicated in the job, then:
7y and (2y²-9) are the length and width expressions where one dimension is the GCF.
Furthermore, when y= 2, the area of the rectangle is;
14(2³) - 63(2) = 112-126
= -14
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what is 490 * 5 .
A. 98
B.
485
C.
5,560
D.
6,860
Answer:
None of the answers are right based on given context.
The product is 2,450.
Step-by-step explanation:
1) use the partial product method.
4 9 0
× 5
-------------------------------------
4 5 0 (5×90)
2 0 0 0 (5×400)
-----------------------------------------
2 4 5 0
2) Therefore 490 x 5 = 2,450.
2,450
Please try to prove that the slope of the normal line of y=mx+bis -1/m
The slope of the normal line is proved to be -1/m using tangent
How to show that the slope of normal line is -1/m
Slope is similar to tangent and sometimes used interchangeably
assuming two lines of slope m and m', the angle between the two lines is x
tan x = (m - m') / (1 + mm')
for a normal line x = 90
tan 90 = (m - m') / (1 + mm')
tan 90 is ∞ = 1 / 0
1 / 0 = (m - m') / (1 + mm')
cross multiplying
1 * (1 + mm') = 0 * (m - m')
1 + mm' = 0
mm' = -1
m = -1/m'
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The McDonald family drove from Halifax to Montreal on a summer vacation. On the way there, they traveled approximately 240 km each day, stopping overnight in many different resorts. They stayed in Montreal for 6 days. On the way back, they drove about twice as far each day before stopping. The total trip was about 2880 km. How many days did the vacation last?
Answer:
18 days
Step-by-step explanation:
this question is actually pretty simple, so all you have to do is take the total km which is 2880 divide it by 240 which is 12 then add 6 to it which makes 18 days
how can I change eight days into hours
Answer:
8 days = 192 hours
Step-by-step explanation:
Formula we use,
→ 1 day = 24 hours
Conversion of 8 days into hours,
→ n days × 24 hours
→ 8 × 24
→ 192 hours
Hence, there are 192 hours.
I will give brainliest!
Answer:
1/2
Answer choice 3.
Step-by-step explanation:
Hello again.
We can write all the numbers out.
13,14,15,16,17,18,19,20,21,22,23,24
There are 12 values.
Half of the values are even, so the probability of an even number is 1/2.
PLEASE GIVE BRAINLIESTAnswer:
1/2
Step-by-step explanation:
Numbers between 13 and 24:
13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Even numbers
13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
number of Even numbers/total number of numbers = probability of even number
= 6/12
= 1/2
1. Find extrema and intervals of increasing and decreasing the function
[tex]y = \frac{ {e }^ { - (x + 2)} }{x + 2} [/tex]
2. Find inflection points and intervals of concavity and convexity of the function:
[tex]y = \frac{2x - 1}{(x - 1) ^{2} } [/tex]
The function y = (e⁻⁽ˣ⁺²⁾) / x + 2 increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but concave downwards along (-∞, 1) ∪ (1 ,∞)
Extrema and Intervals of a FunctionAn extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.
The function given;
y = (e⁻⁽ˣ⁺²⁾) / x + 2
The extrema and intervals of increase or decrease of this function are
(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)
2. The inflection points and intervals of concavity and convexity of the function
y = 2x - 1 / (x - 1)² are
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