The number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.
What is debt?
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We have:
Each ticket costs 32 dollars, so the debt for one ticket is -$32. The tour company adds a 15-dollar fee for the entire order.
A group of 9 pre-orders 9 tickets for a sightseeing tour.
Total cost of 9 tickets = 9×32 = $288
As this group doesn't have money
The debt for the tickets will be = $288
The tour company adds a $15 fee for the entire order.
The total debt for this tour = $15 + $288 = $303
Thus, the number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.
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Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.
Preimage: (first photo)
The parallelogram will translate along the arrow and reach the head of the arrow.
The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.
In the given figure, the parallelogram is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.
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What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show all necessary steps.
The remainder of the polynomial equation is -49
What is a remainder of a polynomial equation?The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.
From the given information, we are to find the remainder of the given algebraic equation:
[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} }[/tex]
Using the long division method, we have:
[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}[/tex]
Divide by [tex]\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}[/tex], we have:
[tex]\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}[/tex]
Divide by [tex]\mathbf{\dfrac{27x+5}{x+2}}[/tex], we have:
[tex]\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}[/tex]
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How much of a radioactive kind of francium will be left after 44 minutes if you start with 2,616 grams and the half-life is 22 minutes?
Step-by-step explanation:
sorry but I dont know
Answer: 654 grams
Step-by-step explanation:
that's the answer it gave it when I got it wrong.
there are 3 3/4 cookies. if there is 1/4 of a cookie in each bag, how many bags are there?
Answer:
15 bags
Step-by-step explanation:
3 = 12/4
3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4
(15/4) ÷ (1/4) = 15
5. Which of the following linear equations is expressed in slope-intercept form.
2y = 8x - 1
x = 2y + 3
y = 4x - 2
2x + 3y = 6
Answer:
The third option: y=4x-2
Step-by-step explanation:
Slope-intercept form formula is: y=mx+b
First option is not correct because it has a number before the y value.
Second option is not correct because x is on the left of the equal side instead of the right.
Third option is correct.
Fourth option is not correct because it is written in standard form.
Hope this helps!
If not, I am sorry.
Please someone do this for me
Answer:
A = -12
Step-by-step explanation:
A put in -2 for 'x' in the equation to find value
2(-2) - y = 8 add 4 to both sides
-y = 12
y = -12
I think YOU can now find B and C with this method !
6. Solve for x: please explain
Answer:
5
Step-by-step explanation:
the angles need to add up to 180
60 + 40 =100
180 - 100 =80
80 - 5 =75
75/15 =5
evaluate this equation
The correct answer is option B which is Sn = -111974.
What is geometric expansion?When there is a constant between the two successive numbers in the series then it is called a geometric series.
Here we have the following data:-
[tex]\sum_{n=1}^7-2.6^{n-1}[/tex]
[tex]a_n = a_1r^{n-1}\ \ \ \ \ S_n = a_1(\dfrac{1-r^n}{1-r})[/tex]
Here we need to calculate the first term second term and common ratio to calculate the sum of the series.
a₁ = -2.(6¹⁻¹) = -2
a₂ = -2.( 6²⁻¹) = -2 (6) =-12
Common ratio:-
[tex]a_n = a_1r^{n-1}[/tex]
[tex]-12 = -2r^{2-1}[/tex]
r = 6
Put all the values in the sum formula:-
[tex]S_n = -2(\dfrac{1-6^7}{1-6})[/tex]
[tex]S_n = -2(\dfrac{279935}{5})=-2\times 55987[/tex]
[tex]S_n[/tex] = -111974
Therefore the correct answer is option B which is Sn = -111974.
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The expression for the nth term of a sequence is 4n+6
What are the first three terms in the sequence? Give your answers in
order.
Answer:
10, 14, 18
Step-by-step explanation:
We know that the nth term is '4n+6', so we just have to plug in whichever number we want for n, where n is the nth term in the sequence. The first term would be 4 * 1 + 6 = 10, the second term would be 4 * 2 + 6 = 14, and finally the third term would be 4 * 3 + 6 = 18. Therefore, your answer should be 10, 14, 18.
Convert scientific notation to decimal format.
9.8*10^-9
Answer:
- 9,800,000,000
Step-by-step explanation:
9.8 * [tex]10^{-9}[/tex]
Simplify 10 with exponent
[tex]{10}^{-9}[/tex] = -10 with 9 zeroes
Rewrite
[tex]{10}^{-9}[/tex] = -1,000,000,000
Place back into expression
9.8 * -1,000,000,000
Simplify by multiplying
- 9,800,000,000
Let me know if you have any questions!
Which of the following sets of ordered pairs represents a function?
{(-6,-1), (13,8), (1,6), (1,-10)}
{(10,5), (10,-5), (5,10), (5,-10)}
{(3,5), (-17,-5), (3,-5), (-17,5)}
{(10,5), (-10,-5), (5,10), (-5,-10)}
The set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function , Option D is the correct answer.
The correct option 4 is
{(10,5), (-10,-5), (5,10), (-5,-10)}
What is a Function ?A function is a law that states relation between a dependent variable and an independent variable .
For a data to satisfy being a function ,
For every individual value of x , there should be one value of y
If there are two values for a single x then the data set doesn't represent a function but it shows a relation.
For Option 1,2 and 3 , for the same value of x there are two values of y and in only the last set the value is different.
Therefore the set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function
Option D is the correct answer.
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What is the equation of a sine function with an amplitude of 2 and a period of 4π?
y = one-half sine (2 x)
y = one-half sine (4 pi x)
y = 2 sine (one-half x)
y = 2 sine (4 pi x)
The general equation
y=Asin(Bx)B is period and A is amplitude
A=2RearrAnge
y=2sinBxPeriod:-
2π/4π2/41/2So final equation
y=2sin(1/2x)Option C
Gcf of 24x^5 - 56x^3 + 16x
Answer:
8x
Step-by-step explanation:
Greatest common factor is the factor of 24, 56 and 16. Since 16x only has the power of 1, then then the answer should be on power of 1.
Answer:
Given the 24x⁵ - 56x³ + 16x contains numbers and variables, there are two steps to finding the GCF. Find the GCF for the numeric part, then find the GCF for the variable part.
Steps to find the LCD of 24x⁵ - 56x³ + 16x
Find the LCD for the numerical part 24, - 56, 16x Find the LCD of the variable part x⁵, x³, x¹.Multiply the values with each otherFind the common factors of the numerical part: 24, −56, 16
The factors for 24 are −24,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,24.
The factors for −56 are−56,−28,−14,−8,−7,−4,−2,−1,1,1,2,2,4,4,7,7,8,8,14,14,28,28,56,56.
The factors for 16 are −16,−8,−4,−2,−1,1,2,4,8,16.
List all the factors 24,−56,16 to find the common factors.
24:−24,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,24−56:−56,−28,−14,−8,-7,−4,−2,−1,1,1,2,2,4,4,7,7,8,8,14,14,28,28,56,5616:−16,−8,−4,−2,−1,1,1,4,8,16The common factors for 24,−56,16 are −8,−4,−2,−1.−8,−4,−2,−1
The GCF of the numerical part is 8.
[tex]\bf{GCF_{Numerical}=8 }[/tex]
Then find the common factors for the variable part:
x⁵, x³, x
The factors for x⁵ are:
x · x · x · x · x
The factors for x³ are:
x · x · x
The factors for x¹ are:
x
List all the factors x⁵, x³, x¹ to find the common factors.
x⁵ = x · x · x · x · x
x³ = x · x · x
x¹ = x
The common factor of the variables x⁵, x³, x¹ is x.
The LCD of the variable part is x.
[tex]\bf{GCF_{Numerical}=x }[/tex]
Multiply the LCD of the numerical part 8 and the GCF of the variable part x.
8x
2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶
value of n?
Answer:
[tex]n = 14[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14[/tex]
4
Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used.
Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.
250
111%
89%
Growth 11% 8.9%
40
Decay
250 (0.89)*
250 = 40(1.11)
40 =
Initial Value::
Growth or Decay::
Growth/Decay Rate::
Reset
Initial Value::
Growth or Decay:
Growth/Decay Rate::
Next
First function; Initial value = 250; Decay; Decay rate = 11%
Second function; Initial value = 40; Growth; Decay rate = 11%
How to solve exponential decay functions?
1) The first function is;
40 = 250(0.89)^(x)
y = 250 (initial value)
Decay because 0.89 < 1
Thus;
Decay rate: (1 - 0.89) * 100 = 11%
2) The second function is;
250 = 40(1.11)^(x)
y = 40 (initial value)
Growth because 1.11 > 1 so growth
Growth rate: (1.11 - 1) * 100 = 11%
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Please help me with my math
2(x-4) + 3x-x² for x = 3.
Answer:
-2
Step-by-step explanation:
[tex]2(3-4) +3(3)-3^2\\= 2(-1) + 3(3) -3^2\\= -2 + 9 - 9\\= -2[/tex]
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
Answer:
There are no "following values" in the problem.
Step-by-step explanation:
ƒ(x) = -2x + 3
For any value of X, enter that number in the equation and calculate f(x) [y].
For example, if x is 2:
ƒ(x) = -2x + 3
ƒ(2) = -2(2) + 3
y = -2(2) + 3
y = -4+3
y = -1
The ordered pair for when x=2 would be (2,-1)
Find the rate of change of the linear function shown in the graph. Then find the initial value.
rate of change is change in y / change in x
(-1 - -3)/ (0 - -6) = 2/6 = 1/3
initial value is the y value when x is 0 , which is -1
Please Someone help with this !!!
Answer:
[tex]45[/tex]
Step-by-step explanation:
[tex]\tan 45^{\circ} = \dfrac{\sin 45^{\circ}}{ \cos 45^{\circ} }\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin\left(90^{\circ} - 45^{\circ} \right)}\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin 45^{\circ}}\\\\\\~~~~~~~~~~=1[/tex]
The question is the image below.
Answer:
Hence - 7 is the answer
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If g(x)=4x^(2)-16 were shifted 7 units to the right and 3 down, what would the new equation be?
The equation of the transformed function is h(x) = 4(x - 7)² - 19 option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
g(x) = 4x² - 16
The above function shifted 7 units to the right and 3 down.
Applying transformation:
x → (x - 7)
G(x) = 4(x - 7)² - 16
G(x) → G(x) - 3
h(x) = 4(x - 7)² - 16 - 3
h(x) = 4(x - 7)² - 19
Thus, the equation of the transformed function is h(x) = 4(x - 7)² - 19 option (C) is correct.
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Use the Pythagorean theorem to find the distance on the coordinate plane.
$80 gift marked up 60%
give me the answer after the markup
Answer:
128
Step-by-step explanation:
0.6 (the percentage) x 80.00= 48.00
48.00 + 80.00 = 128.00
Answer:
128
Step-by-step explanation:
60% + 100% (new price) = 160% = 1.6
80 x 1.6 = 128
solve on the interval please help!
Answer:
Ф = 2pi/3 , 4pi/3
Step-by-step explanation:
1 + cos Ф = 1/2
Subtract 1 from each side
1 + cos Ф -1 = 1/2-1
cos Ф = -1/2
Take the inverse cos of each side
cos^-1 ( cos Ф )= cos^-1(-1/2)
There are two solutions for the inverse cos of (-1/2), 2pi/3 and 4pi/3
Ф = 2pi/3 +2 npi
Ф = 4pi/3 + 2n pi where n is an integer
We are limited to the interval between 0 and 2pi
Ф = 2pi/3 , 4pi/3
Rafael purchased a video game for 35.60.if he gave the cashier 40 how much change will he get
Answer:
4.4
Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40
What value is missing from the table?
A. 4.5
B. 5.5
C. 5
D. 4
Answer:
D. 4
Step-by-step explanation:
The faster you go, the faster you get home (theoretically anyway) and vice versa. So if your speed is doubled, it'll take half the time to get home. But if your speed gets halved, it'll also take double the time to get home.
So, if at 60 mph it takes 1 hour to get home, then if your speed is divided by four to 15 mph, you need to multiply the time by the same number and thus the answer is 4.
factorise the expression as fully as possible 10xsquared -5x
Answer:
5x(2x - 1)
Step-by-step explanation:
Factor 10x^2 - 5x:
Then: 10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms
Answer:
[tex]10x^{2} -5x[/tex] in factored form would be [tex]5x(2x-1)[/tex]
Step-by-step explanation:
If we look at all of the terms in this binomial, we can see that they both have 5x in common. We can now factor 5x out of the equation to get our answer.
To do this, we must divide both terms by 5x.
[tex]10x^2[/tex] divided by [tex]5x[/tex] is [tex]2x[/tex], and [tex]-5x[/tex] divided by [tex]5x[/tex] is [tex]-1[/tex].
So, our final answer is [tex]5x(2x-1)[/tex].
Question 10 of 13
by visual inspection, determine the best-fitting regression model for the
scatterplot.
o a. no pattern
o b. quadratic
o c. exponential
o d. linear
please help!
The best-fitting regression model for the scatter plot is exponential curve , Option C is the right answer.
The missing graph is attached with the answer.
What is an exponential graph ?An exponential graph is given by y = aˣ , the graph for an exponential growth is also attached with the answer,
From the graph given in the question it can be concluded that it is not linear , not quadratic and it is not true that it doesn't have a pattern , It is an exponential growth graph, Therefore Option C is the right answer.
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It takes two points to define a plane.
Answer:
In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.
Step-by-step explanation:
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