We have been provided with this exponential equation y= 13√x + 13√[tex]x^{7}[/tex]
The product rule for solving the exponential powers is [tex]x^{n}[/tex] × [tex]x^{m}[/tex]= [tex]x^{n+m}[/tex]
, which means if the base is same and the variables are multiplied then the powers of the bases get added.
By using the product rule in the given exponential problem, it can be written as:
y = 13 √x ×√[tex]x^{7}[/tex]
y =13 √[tex]x^{1+7}[/tex]
y =13 √[tex]x^{8}[/tex]
Roots means the power of the base is half
y =13 [tex]x^{4}[/tex]
Correct question is Use the product rule to simplify the following expression
y= 13√x + 13√[tex]x^{7}[/tex]
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let c(t) be the number of customers in a restaurant t hours after 8 a.m. c(0)=0
The expression c(0) = 0 means that there was no customers in the restaurant at 8 a.m.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let c(t) represent the number of customer present at the restaurant t hours after 8 a.m.
Hence, the expression c(0) = 0 means that there was no customers in the restaurant at 8 a.m.
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Question 14 of 25
Based on the information marked in the diagram, ABC and DEF must be
congruent.
B
AQ
A. True
B. False
C
E
DO
LL
F
SUBMIT
Answer:
A. True
Step-by-step explanation:
Given two right triangles with marked side and angle, you want to know if they are congruent.
AAS congruenceThe two triangles are marked as having congruent angles and a congruent side next to the right angle. This is sufficient information to let you claim congruence by the AAS congruence postulate.
The triangles are congruent: TRUE.
What is the rectangular equivalence to the parametric equations?
x(θ)=3cosθ+2, y(θ)=2sinθ−1 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
The rectangular equivalence to the parametric equations is;
(x - 2)²/9 + (y + 1)²/4 = 1
How to Interpret Parametric Equations?
We want to find the rectangular equivalence to the parametric equations;
x(θ) = 3cosθ + 2
y(θ) = 2sinθ − 1
where 0 ≤ θ < 2π .
Making the trigonometric ratio the subject gives us;
cosθ = (x - 2)/3
sinθ = (y + 1)/2
Now, from trigonometric identities, we know that;
cos²θ + sin²θ = 1
Thus;
((x - 2)/3)² + ((y + 1)/2)² = 1²
(x - 2)²/9 + (y + 1)²/4 = 1
Thus, the rectangular equivalence to the parametric equations is;
(x - 2)²/9 + (y + 1)²/4 = 1
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PQRS is a kite. Find m∠S
*
Answer:
angle S is 82
Step-by-step explanation:
the little lines on
QP & QS means
they are equal
so you can divide
124 in half which is 62
62 + 36 = 98
180 - 98 = 82
A rectangle has a perimeter of 104 cm and it’s length is 1 cm more than twice its width.
A. Find the definition of perimeter write an equation for P in terms of L and W
B. Using the relationship given in the problem statement write an equation for L in terms of W.
C. The Width is ____ cm
D. The Length is ____ cm
The equation for L in terms of W is ( 1 + 2w) where length and width of the rectangle is 35 cm and 17 cm respectively
Perimeter of rectangleLength of the rectangle, l = 1 + 2wWidth of the rectangle = wPerimeter = 104 cmPerimeter of rectangle = 2(L + W)
104 = 2{(1 + 2w) + w}
104 = 2(1 + 2w + w)
104 = 2(1 + 3w)
104 = 2 + 6w
104 - 2 = 6w
102 = 6w
w = 102 / 6
w = 17 cm
Recall,
Length of the rectangle, l = 1 + 2w
= 1 + 2(17)
= 1 + 34
= 35 cm
Therefore, the equation for L in terms of W is ( 1 + 2w) where length and width of the rectangle is 35 cm and 17 cm respectively
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The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?
Answer: B Correct answer Promise me
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Answer:
The mapping diagram above does NOT represent a function since for each number in Set A (the input) there are multiple mappings to Set B (the output).
NB. The relation is a function IF AND ONLY IF each input value has only 1 output value.
The graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = |6x|
B. g(x) = |x + 6|
C. g(x) = |⅙x|
D. g(x) = 6|x|
Answer:
C
Step-by-step explanation:
To stretched f(x) = |x| horizontally by a factor of 6, and create the graph of g(x) we have to divide the value of x by 6 so the y values for g(x) will be lower then the y values for f(x).
Answer:
C
Step-by-step explanation:
I know you got the correct answer already but yeah its C :)
If the relationship is proportional, how many students would there be in a school with 32 teachers? Show your dimensional analysis
The number of students would there be in a school with 32 teachers is 32k.
What is meant by proportionality?In general, proportion refers to a part, share, or amount considered in comparison to a whole. According to the definition of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios as well as fractions are equal.A proportion formula is just an equation that may be solved to determine the values to compare. We use the concept of proportion to solve proportion problems, which is two ratios that really are equal to each other.As the number of students are proportional to number of teachers.
Thus,
students ∝ teachers
student ∝ 32
students = 32k
where, k is the constant of proportionality.
Thus, the total number of students will be 32 k.
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50 POINTS FOR WHOEVER ANSWERS
The equation has one solution.
A value of x that makes the equation true is -3, which when substituted into the equation will turn the equation into: 18 = 18.
A value of x that makes the equation false can be 4, which when substituted into the equation will turn the equation into: -24 = 18.
How to Find the Solution to an Equation?Given the equation, -6x = 18, the value of x that makes the solution true would be determined as shown below:
-6x/-6 = 18/-6
x = -3
Therefore, we can conclude the following:
A value of x that makes the equation true is -3, which when substituted into the equation will turn the equation into:
-6(-3) = 18
18 = 18.
A value of x that makes the equation false can be 4, which when substituted into the equation will turn the equation into:
-6(4) = 18
-24 = 18.
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Answer:
The equation has one solution.
A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18=18.
A value of x that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into 0=18.
Step-by-step explanation:
Hope this helped! :)
Hello. Please check and help if possible :) I am struggling
Answer: :)
Step-by-step explanation:
Answer:
Deleted = error
12345653q2111234567876543212345
Answer:
12345653q21112345678
Below are graphs of functions over the interval [−4, 4]. Find the following for each function: The domain Zeros of the function (the values of x where the value of the function is zero) Intervals where the function is positive and intervals where it is negative
From the graph of a function over the interval [-4,4]. the following are found for each function
The domain is x ≥ -4, -4 ≤ x ≤ 4, x ≤4the zeros of the function is ( 0, 0 ), ( 0, 0 )The function is positive at 0 ≤ x ≤ 4, x ≥ 4. The function is negative at x ≥ -4, -4 ≤ x ≤ 0What is domain of a function?The domain of a function refers to the input variables, often times the domain comprises of the x axis. for the given graph the domain is -4 ≤ x ≤ 4.
How to get the domain of a function.This would be through the points in the function. We are given [-4,4]
-4 is the negative side while 4 is the positive. We have to write this out as
-4 ≤ x ≤ 4.
The positive part part of the function is at 4. This is because we can assume a +4 sign.
The negative part is the point -4.
Hence we can say that the domain is -4 ≤ x ≤ 4 with the positive and negative at 4 and -4 respectively
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five less than six times a number
Answer: 6x-5
5 less is just subtract 5 from whatever follows
I NEED HELPPP KNOW PLEZZZ !! A scientist conducted research and plotted his results in the histogram shown below. Which of the following is the best measure of the center of the data?
Answer:
Uh, I'm not sure but i think its Mean
What is true about the angles in the diagram shown below? A D E (31) The value of x is B C Enter the correct answers in the boxes.
Answer:
x = 22.5
∠ADE = 67.5
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° and the given is a right triangle so we can find the value of x easily:
90 + x + 3x = 180 add like terms
90 + 4x = 180 subtract 90 from both sides
4x = 90 divide both sides by 4
x = 22.5
To find the measure of angle ADE we use the same equation:
90 + 22.5 + ∠ADE = 180 add like terms
112.5 + ∠ADE = 180 subtract 112.5 from both sides
∠ADE = 67.5
Y’all should Frl help me
Answer:
Step-by-step explanation:
Plug in 6 for x for g(x) and f(x)
f(6) = 2(6)⁵ = 15,552
g(6) = 10 x 4⁶ = 40,960
15,552 < 40,960
f(6) < g(6)
I need help with this, someone please help!!
The arrows shows the function is a one-to-one function. Each range value has only one domain value it is paired to.
What is One-to-one Mapping Function?If each range value (output value) is paired exactly with a domain value (input value), the mapping that is said to represent a one-to-one function. It is a one-to-one mapping.
In the mapping diagram given, the arrows tells us that the function is one-to-one mapping/function. This means that exactly one element of the output (range value) is paired with one input (domain value).
Thus, we can conclude that the arrows shows the function is a one-to-one function. Each range value has only one domain value it is paired to.
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For my part, I travel not to go anywhere, but to go. I travel for travel's sake. The great affair is to move.
—Robert Louis Stevenson
Interpret the quote in terms of what you have learned about essential and discretionary vacation expenses.
The interpretation of the above quotation in terms of what is essential and discretionary vacation expenses implies that there are some unnecessary vacation expenses while others are compulsory vacation expenses.
What are discretionary and nondiscretionary expenses?
Discretionary expenses refer to outflows that a person can avoid if they choose.
On the other hand, one cannot avoid nondiscretionary expenses after choosing a spending activity because they are necessary and compulsory.
An example of nondiscretionary expenses are taxes, the cost of meals, and utility expenses. An example of a discretionary outflow is charitable donations.
Thus, when Robert Louis Stevenson claims that he travels for travel's sake, not to achieve any purpose, the expenses he incurs on such a trip are discretionary. He can avoid them by choosing not to embark on vacations.
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ch
e
7. The start-up cost to print t-shirts is $2,000. It will
cost an additional $3.50 to produce each t-shirt. The
t-shirts will be sold for $6.00 each. Write a model for
cost C(x) and revenue R(x). How many t-shirts
must be sold to break even? (3 pts)
The function of cost is C(x) = 3.50x + 2000 and revenue is R(x) = 6x and 800 t-shirts must be sold to break even.
To find the linear value perform, begin from the slope-intercept kind C(x) = mx + b wherever x is the number of T-shirts and C(x) is that the value to supply those T-shirts. we'd like to search out the slope"m" and also the intercept "b".The cost is differently of touching on the slope of the value perform. this suggests that
m = 3.50 and b = 2000 swing this into the value perform, we have
C(x) = 3.50x + 2000
Revenue function = selling price × number of shirt
R(x) = 6x
The break-even purpose is found by setting the value perform C(x) adequate to the revenue perform R(x) .
C(x) = R(x)
3.50x + 2000 = 6x
2000 = 2.5x
800 = x
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If kenny’s bus ride is 6 miles long, how much will it cost
Answer:
The cost of the bus ride for 6 miles is 50 dollars
Step-by-step explanation:
We want to read the graph. The x value is 6
Go up from x = 6 until you reach the line
Then go to the left until you can read the y value
50
The cost of the bus ride for 6 miles is 50 dollars
Lin is selling boxes of popcorn. Each box costs $4.00. Lin’s goal is to earn more than $32 selling popcorn.
How many boxes of popcorn does Lin need to sell in order to earn exactly $32?
Answer:4 X 8 =32
Step-by-step explanation:4 groups of 4 is 32
32 divied by 4 is 8 so 8 boxes
write answer from top to bottom
Answer:
give some reasons for your choice
Step-by-step explanation:
30 hrs / WK =$
A real estate agent works on 11% commission. What is her commission on house that she sold $346,000?
A real estate agent commission on the house that she sold $346,000 is $38,060.
Given that, a real estate agent works on 11% commission.
We need to find out what is her commission on the house that she sold $346,000.
What is the commission?The commission is a percentage of total sales as determined by the rate of commission. Commission=Rate of commission⋅Total sales. To find the commission on a sale, multiply the rate of commission by the total sales.
Now, the commission on the house=11% of 346,000
=11/100 × 346,000
=0.11 × 346,000
=$38,060
Therefore, a real estate agent commission on the house that she sold $346,000 is $38,060.
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solve for x
y = 5x -4x
Answer:
y = 5x -4x
y = x
1. Yale economist Robert J. Shiller and Wellesley economist Karl Case created the Case-Shiller
index of American housing prices that tracks the value of housing back to 1890 in consistent
terms, factoring out the effects of inflation. The 1890 benchmark is 100 on the chart. If a
standard house sold in 1890 for $100,000 (inflation-adjusted to today's dollars), an equivalent
house would have sold for $66,000 in 1920 (66 on the index scale) and $220,000 in 2006 (220 on
the index scale).
Use the following graph, based on the Case-Shiller index, to write a 60-second summary about
home values in the United States since 1890. You can use the Internet to find the current value
of homes and see if these projections are accurate.
A History of Home Values
130
120
110
100
90
80
70
60
PROJECTION
WORLD
GREAT WORLD
WARI DEPRESSION WAR II
for
1890
1900
1910
1920
1930
1940
1950
CURRENT JULY 2006
BOOM
1970'S 1980'S
BOOM BOOM
M
200
190
180
170
160
150
140
130
120
110
100
According to the chart, homes in the United States have fluctuated between $90,000 and $130,000 most of the time between 1890 and 2010 and then rise to more than $200,000.
What does the graph show?The graph shows the changes in the value of homes in the United States from the year 1890 to the year 2010. An important aspect of this graph is the influence that international events such as the world wars, the great depression, the boom of the 70s and 80s and the great boom.
How do home prices change?According to the graph, the price of houses varies as follows:
In 1890 it starts with a standard value of $100,000.Between 1890 and 1900 it has had two moments of increase in which it reached prices of 125,000 and 110,000. On the other hand, in 1900 it reaches the lowest point of this period with 90,000.Between 1900 and 1910 it peaks at 110,000, but closes the decade with a price of 95,000.Between 1910 and 1920, the effects of the First World War caused its value to fall to 65,000.Between 1920 and 1930 the Great Depression causes prices to not exceed 80,000 and closes the decade with a value of 75,000.Between 1930 and 1940 prices increase until reaching 80,000 at the end of the decade.Between 1940 and 1950 the effects of World War II cause prices to fall again to 70,000. However, the second half of the decade marks a recovery that reaches 110,000.Between 1950 and 1960 prices increase in the middle of the decade but close the period at 110,000.Between 1960 and 1970 prices remain stable. However, they close the decade with a minimal decrease.Between 1970 and 1980 there is a significant increase that raises prices to 120,000 at the end of the decade.Between 1980 and 1990 prices fall again in the middle of the decade to 105,000 but at the end of the period they exceed 120,000.Between 1990 and 2000 prices fall below 110,000.Between 2000 and 2010 prices increase exorbitantly and reaches more than 200,000.Learn more about house prices in: https://brainly.com/question/17021793
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Laura, Aldo, and Juan served a total of 95 orders Monday at the school cafeteria. Juan served 2 times as many orders as Laura. Aldo served 7 more orders than Laura. How many orders did they each serve?
the orders served by Laura are 22, the orders served by Aldo are 29 and the orders served by Juan are 44.
Total number of orders served on Monday at the school cafeteria = 95
Juan served 2 times as many orders as Laura and Aldo served 7 more orders than Laura.
Let the orders served by Laura be x
Orders served by Juan = 2 x
Orders served by Aldo = x + 7
So, we get the equation as:
x + 2 x + x + 7 = 95
4 x + 7 = 95
4 x = 95 - 7
4 x = 88
x = 88 / 4
x = 22
x + 7 = 22 + 7 = 29
2 x = 2 (22) = 44
Therefore, we get that, the orders served by Laura are 22, the orders served by Aldo are 29 and the orders served by Juan are 44.
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Evaluate the expression when c=5 and d=42 d-6c
The value of the expression when c = 5 and d = 42 is 12
How to evaluate the expression?The given parameters are:
c = 5 and d = 42
The expression is given as:
d - 6c
To evaluate the expression when c = 5 and d = 42, we substitute c = 5 and d = 42 in expression d - 6c
This is represented as
d - 6c = 42 - 6 * 5
Evaluate the product in the above expression
So, we have
d - 6c = 42 - 30
Evaluate the difference in the above expression
So, we have
d - 6c = 12
Hence, the value of the expression when c = 5 and d = 42 is 12
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the cost of one scoop sundae is 2.75 and a cost of a two scoop sundae is 4.25 write and evaluate an expression to fine the total cost of 3 one scoop sundaes and 2 two scoop sundaes
The total cost of 3 one scoop sundaes and 2 two scoop sundaes by evaluating an expression 2.75(3)+ 4.25(2) is 16.75.
What is an expression in two variable?An expression in two variables is a combination of numbers and two variables using mathematical operation +,-,/,*. It will a linear expression when the maximum power of variables is only one in the expression.
Let x and y are two variables and a, b, c are some numbers. Then a linear two expression can be given by ax+ by+ c
Given the cost of one scoop sundae is 2.75 and a cost of a two scoop sundae is 4.25
Let the number of sundaes of one scoop sundae be x and the numbers of sundaes be y
Then the total cost of these sundaes is given as by expression 2.75x + 4.25y
Given that there are 3 one scoop sundaes and 2 two scoop sundaes
Thus, x= 3 and y = 2
Total cost is given by expression= 2.75(3)+ 4.25(2)= 16.75
Therefore, he total cost of 3 one scoop sundaes and 2 two scoop sundaes is 16.75
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I NEED THE ANSWERS TO 3, 4 and 5 PLEASEEE:))
Answer:
3. (d) y = 2x + 2
4. (c) 10
5. See attachment.
Step-by-step explanation:
Slope formula
[tex]\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Slope-intercept form of a linear equation
[tex]\boxed{y=mx+b}[/tex]
where m is the slope and b is the y-intercept.
Question 3Given points on the line:
(x₁, y₁) = (1, 4)(x₂, y₂) = (-2, -2)Substitute the given points into the slope formula to find the slope, m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{-2-4}{-2-1}=\dfrac{-6}{-3}=2[/tex]
Substitute the found slope and one of the points into the slope-intercept equation and solve for b:
[tex]\implies 4=2(1)+b[/tex]
[tex]\implies b=2[/tex]
Therefore, the equation of the line is:
[tex]\boxed{y=2x+2}[/tex]
Question 4Given equation:
[tex]y=10x-6[/tex]
Upon comparing the given equation with the slope-intercept formula, the slope of the given line is: [tex]\boxed{10}[/tex]
Question 5The equation y = 2 means that y is 2 for all values of x.
Therefore, to graph y = 2, draw a straight, horizontal line at y = 2.
(See attached graph).
