The number of books Alisha did not sell after making a profit of £490 is 45 books
How to find how many book she sell base on the profit?
She buys 200 books costing £3 each.
Therefore,
cost = 3 × 200 = £600
Hence,
She sells 2/5 of the books at £8 each.
total amount = 2 / 5 of 200 × 8
total amount = 80 × 8
total amount = £640
Alisha then reduces the price of the remaining books by a quarter.
She then sells some of the remaining books.
Therefore,
the remaining book = 120
She sold some of the remaining books.
profit = selling price - cost price
490 = selling price - 600
selling price = 490 + 600
selling price = £1090
Therefore,
the cost of the remaining book she sold = 1090 - 640 = £450
Hence,
let
x = number of book sold
6(x) = 450
x = 450 / 6
x = 75
The number book she did not sell = 120 - 75 = 45
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Find the value of k (k,3) and (2,3) is 5
A: 5
B: 6
C: 7
D: 8
Answer:
its option c (7)
Step-by-step explanation:
trust your bro
Answer:
[tex]C)~ 7[/tex]
Step-by-step explanation:
[tex]\text{Given that,}~~ (x_1,y_1) = (k,3)~ \text{and}~ (x_2 ,y_2) = (2,3)\\\\\text{Distance,}~ \\\\~~~~~~~~d= \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\\\\\implies 5=\sqrt{(2-k)^2 + (3-3)^2}\\\\\implies 5=\sqrt{(2-k)^2 +0}\\\\\implies 5 = \sqrt{(2-k)^2}\\\\\implies 5=|2-k|\\\\\implies \pm 5=2-k \\\\\implies 2-k =5~~~~~~\text{or}~~~~~~~~2-k = -5\\\\\implies k = 2-5~~~~~~\text{or}~~~~~~~~k = 2+5\\\\\implies k = -3~~~~~~~~~\text{or}~~~~~~~~k = 7[/tex]
For what power of q is its value 1?
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
__
x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to any power.
_____
Additional comment
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
Which is a coefficient in the expression below?
(r – 2) + s(10 – t)
Answer:
-2
Step-by-step explanation:
coefficient is the number without a letter next to it
Find all the missing side lengths for the following ITS WORTH 20 points plsss help and ill like !!
please hurry it’s timed
Which of the following is an asymptote of y=csc(x)?
x= -pi
x= -pi/3
x= pi/4
x= pi/2
Answer:
x = -π
Step-by-step explanation:
An asymptote line is a line that the graph does not intercept or pass through but rather approaches it. An asymptote line also is considered to be a line of undefined value of function because if an asymptote is x = a then f(a) is undefined.
The question gives a function y = csc(x) which is in another form, y = 1/sin(x).
We have to find the value of x that turns the function in undefined and that x-value will be your asymptote.
From a unit circle, we know that sin(-π) = -sin(π) = 0. Since sin(-π) = 0 —> y = csc(-π) = 1/sin(-π) = 1/0
Now we find out that at x = -π, csc(x) is not defined and hence, an asymptote is x = -π
BRAINLIEST!!!!
Use triangle XYZ to answer the questions
Use special right triangles to help find the length of segment XY. What is the exact base of triangle XYZ?
What is the exact area of triangle XYZ? Leave your answer in RADICAL terms
What is the area of triangle XYZ to the nearest tenth of a Square feet
The trigonometric function gives the ratio of different sides of a right-angle triangle. The area of the triangle is 55.4256 ft².
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
For the given triangle the length of AB and BC can be written as,
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin(30^o) = \dfrac{AB}{AC}\\\\\\AB = Sin(30^o) \times 16 \\\\\\AB=8\rm\ ft[/tex]
[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos(30^o) = \dfrac{BC}{AC}\\\\\\BC = Cos(30^o) \times AC\\\\\\BC = 13.8564\rm\ ft[/tex]
Now, the area of the triangle is,
Area of triangle = 0.5× 8 × 13.8564 = 55.4256 ft²
Hence, the area of the triangle is 55.4256 ft².
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A stock is changing value by -$0.12 each minute. The stock’s value will have changed by -$1.68 after
minutes.
Answer:
14 Minutes
Step-by-step explanation:
1.68 divided by 0.12 is 14 or Multiply 0.12 by 14 and you get 1.68.
Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
What are quotients?Quotients are result derived from the ratio of two rational or integers. Given the expression
21.49 ÷ 3.76
Convert to fraction
21.49 ÷ 3.76 = 2140/100 ÷ 376/100
21.49 ÷ 3.76 = 2140/376
21.49 ÷ 3.76 = 5.69
Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
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Danielle Cecil's driver-rating factor is 1.60 and her car is in age group D and insurance-rating group is 12.
She wants 100/300 bodily injury and $50,000 property damage coverage.
102377
The value of the annual premium will be $1134.40
How to calculate the premium?From the information given, the annual base premium will be:
= Liability premium + Collision premium + Comprehensive premium
= $383 + $240 + $86
= $709
The annual premium will be:
= Annual base premium × Driver eating factors
= $709 × 1.60
= $1134.40
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Jennifer starts a new investment account that grows exponentially. Her financial advisor tells her
the initial investment of $50,000 grows at a rate of about 15% annually.
1. Determine a function, I(t), that determines Jennifer’s investment account balance after t years. For the exponential growth function, what are the “a” and “b” values? What do those values represent? (5 points for the explanation of “a” and “b” and 5 points for the function)
The exponential function is given by [tex]I(t) = 50000(1.15)^t[/tex]. The initial investment of $50,000 grows at a rate of about 15% annually.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the rate of increase per period.
Let I(t) represent Jennifer’s investment account balance after t years, hence:
a = 50000, b = 100% + 15% = 115% = 1.15
[tex]I(t) = 50000(1.15)^t[/tex]
The exponential function is given by [tex]I(t) = 50000(1.15)^t[/tex]. The initial investment of $50,000 grows at a rate of about 15% annually.
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Necesito las respuestas
Answer:
I need it in English please so I can helps
four subtracted from twice a number is two. what is the number
Answer: 3
Step-by-step explanation:
First, we will write a mathematical equation for the phrase given.
-> Let n be "a number"
four subtracted from twice a number is two
four subtracted from twice a number = 2
(twice a number) - 4 = 2
2n - 4 = 2
Now, we will solve this equation by isolating the variable.
2n - 4 = 2
2n = 6
n = 3
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Identify the expressions for which limits exist.
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
Solve for y 4/7t+2:7=6
Answer:
1/7
Step-by-step explanation:
Parallel to y=12x−4, through (4, 5)
Write the slope intercept form of each equation of the line. Use a fraction for slope
Answer: y = 12x - 43
Step-by-step explanation: i hope that helps
Combine the radicals [tex]9\sqrt{x} -3\sqrt{x} \\[/tex]
The combination of the radicals 9√x - 3√x will be equal to 6√x.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
The given radicals can be combined as shown below,
9√x - 3√x
Taking √x as the common term,
= √x(9-3)
= 6√x
Hence, the combination of the radicals 9√x - 3√x will be equal to 6√x.
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What is the product of (2x – 6)(2x + 6)
[tex]~~~(2x-6)(2x+6)\\\\=(2x)^2 -6^2~~~~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=4x^2 -36[/tex]
Which of the following best describes the slope of the line below?
Answer:
Zero
Step-by-step explanation:
the line is not going up or down therefore there is no slope
If f(x) = (1/9)(9*), what is f(3)? A. 729 B. 81 C.1/729 D.1/81
Answer:
B. 81Step-by-step explanation:
Note. It is assumed * is x in the function notation.
GivenFunction f(x) = (1/9)(9ˣ)Rewrite it as:f(x) = 9⁻¹ 9ˣ = 9⁻¹⁺ˣ = 9ˣ⁻¹Find f(3)Substitute the value of x into equation:
f(3) = 9³⁻¹ = 9² = 81Correct answer choice is B
Find the value of x in the triangle shown below.
x=
58°
6
6
20%
5.8
Answer:
x = 61°
Step-by-step explanation:
since the triangle has 2 congruent sides then it is isosceles with the 2 base angle being congruent, both x°
the sum of the 3 angles in the triangle = 180° , then
x + x + 58° = 180°
2x + 58° = 180° ( subtract 58° from both sides )
2x = 122° ( divide both sides by 2 )
x = 61°
The statistical technique used to make predictions of future outcomes based on present data is ______ Group of answer choices correlational analysis repeated measures linear regression analysis of variance
The type of statistical technique that is employed in future predictions of outcomes based on presented data is: C. linear regression.
What is a Linear Regression?Linear regression can be described as a statistical technique that is used to make future predictions using the regression equation of a line of best fit that models the relationship between variables Y and X.
Through the regression equation, outcomes of the future can be predicted. This statistical technique is known as: C. linear regression
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Choose the correct option that explains what steps were followed to obtain the system of equations below.
System B
A.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will be the same as the solution to system A.
B.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -6. The solution to system B will not be the same as the solution to system A.
C.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will not be the same as the solution to system A.
D.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
How to find the relationship between two equations?
System A equations:
-x - 2y = 7 ------ (1)
5x - 6y = -3 ------(2)
We multiply the first equation by 5, to get :
-5x - 10y = 35 -----(3)
The sum of equation (2) and equation (3) gives:
-16y = 32
y = 32/-16
y = -2
Thus, solution of system B is;
-x - 2(-2) = 7
-x + 4 = 7
x = -3
So, the solution of system B is (-3, -2), that means the solution of both systems are same.
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4. What is the measurement of 2 and 11?
Answer:
look at the photo
...................................
Any Help Will Be Appreciated!
Answer:
-148
Step-by-step explanation:
Hello!
We can evaluate by plugging in -3 for x, and -7 for y in the expression [tex]3x^3 - 2x^2 + 7y[/tex]
Evaluate[tex]3x^3 - 2x^2 + 7y \text{ for x=-3, and y=-7}[/tex][tex]3(-3)^3 - 2(-3)^2 + 7(-7)[/tex][tex]3(-27) - 2(9) - 49[/tex][tex]-81 - 18 - 49[/tex][tex]-148[/tex]The evaluated value is -148.
Answer:
-148
Step-by-step explanation:
complete the equation of the line.
Answer:
see the attachment photo!
to get the equation of any straight line, we simply need two points off of it, let's use the provided points in the picture above.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{1 +3}{1 +0}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+3=4x\implies y=4x-3[/tex]
Please please please help meeeeeeeee and I WILL mark you brainliest
A population of paramecia, P, can be modeled using the exponential
function P(t) 3(2), where t is the number of days since the
population was first observed. Which domain is most appropriate
=
to use to determine the population over the course of the first two
weeks?
The appropriate domain of the population function is 0 ≤ t ≤ 14
How to determine the domain?The function is given as:
P(t) = 3(2)^t
From the question, we understand that the maximum time is 2 weeks.
2 weeks in days is 14 days
This means that the function is valid for 14 days i.e. t = 0 to 14
Hence, the appropriate domain of the population function is 0 ≤ t ≤ 14
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can you help me please
there you go hope it helps :)
A cylindrical water tank is 12 feet high and 10 feet in diameter. the entire tank, inside and out, is to be painted. if a gallon of paint covers 200 sq ft, how many gallons will be needed?
if we paint the tank on the outside, we'll be covering SA of surface area, however we're also painting it on the inside, so the area inside assuming the material thickness is negligible, we'll be covering SA as well, so we'll be needing SA + SA = 2SA ft² of paint to do the whole thing.
so, its diameter is 10, that means its radius is 5.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=12\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(12+5)\implies SA=170\pi \\\\\\ \stackrel{\textit{twice as much}}{2SA=340\pi } \end{array}[/tex]
now, hmmm we know that 1 gallon can do 200 ft², how many gallons are there in 340π ft²?
[tex]\begin{array}{ccll} gallons&ft^2\\ \cline{1-2} 1 & 200\\ x& 340\pi \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{200}{340\pi } \\\\\\ 340\pi =200x\implies \cfrac{340\pi }{200}=x\implies \stackrel{gallons}{5.34}\approx x[/tex]
What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
252 in. 3
568 in. 3
1,272 in. 3
3,024 in. 3
Answer:
252 in^3
Step-by-step explanation:
give brainliest, please!
hope this helps :)
to figure out the volume we have to multiply the base, and height together.
the base is 18 and the height is 14.
18 times 14 = 252
252 in^3
Answer:
3,024 in. 3
Step-by-step explanation:
1 foot = 12 inches
18x12x14= 3024
I just did this assignment