Answer:
A
Step-by-step explanation:
Well automatically we can eliminate B and D because they make no sense whatsoever. So that leaves us with A and C. A is telling us to find the mean so it has to be that one. So, with procces of elimination the answer has to be A. I know this because the owner needs to find an average to see how many bottles he will have sold daily. ;) Your very much welcome
Factor out 1/6 out of 1/6x -7/6
Answer:
(x-7)
Step-by-step explanation:
(1/6)*(x-7)= (1/6)x-(7/6)
28 Jess bought a new car for £12 000.
In the first year the value of the car depreciates by 20%.
In the second year and the third year the car depreciates by 15%
Work out the value of the car after three years.
The value of the car after three years is £6936
How to determine the value of the car?The initial value of the car is given as:
Value = £12000
When the value depreciates by 20% after the first year, the new value of the car is:
New = £12000 * (1 - 20%)
Evaluate
New = £9600
When the value depreciates by 15% after the second year, the new value of the car is:
New = £9600* (1 - 15%)
Evaluate
New = £8160
When the value depreciates by 15% after the third year, the new value of the car is:
New = £8160 * (1 - 15%)
Evaluate
New = £6936
Hence, the value of the car after three years is £6936
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Evaluate function at the given value using the remainder theorem.
f(a)=a^4-2a^3-10a^2-7a at a=-2
Answer:
6
Step-by-step explanation:
[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]
2
3
4
5 6
미
8 9 10
What is the value of x in the equation 8x - 2y = 48, when y = 4
6
7
14
48
Answer:
x=7 ................................
A circle is centered at $O$ and has an area of $48 \pi.$ Let $Q$ and $R$ be points on the circle, and let $P$ be the circumcenter of triangle $QRO.$ If $P$ is contained in triangle $QRO,$ and triangle $PQR$ is equilateral, then find the area of triangle $PQR.$ Will give brainlyist!
The area of the Triangle PQR which is in the circle, is given as 784.25. See the computation below.
What is a circle?Mathematically speaking, a circle is a 2-dimensional shape whose boundaries are round and are equidistant from a fixed center.
What is calculation of the answer given above?The area of ΔPQR is given as ((√3)/4) x QR²
= (√3)/4) x (6√2 - 2√6)²
= 0.43301270189 x (8.48528137424 x 4.89897948557)²
= 0.43301270189 x 1728
Area of ΔPQR = 784.25
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The function D(t) defines a traveler's distance from
home, in miles, as a function of time, in hours.
D(t) =
300t + 125,
875,
75t + 612.5,
0 ≤t <2.5
2.5 ≤t≤ 3.5
3.5
Mark this and return
Which times and distances are represented by the
function? Select three options. 4
The starting distance, at 0 hours, is 300 miles.
At 2 hours, the traveler is 725 miles from home.
At 2.5 hours, the traveler is still moving farther from
home.
At 3 hours, the distance is constant, at 875 miles.
The total distance from home after 6 hours is 1,062.5
miles.
Three selected options are as follows:
At 2 hours, the traveler is 725 miles from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.What is Distance ?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, put the values in option substitute in given equation D(t)
Option 1: At t = 0 hour,
D (0) = 300 X 0 + 125 = 125 ≠ 300 Option Incorrect
Option 2 : At t = 2 hours,
D(2) = 300 X 2 + 125 = 725 Option Correct.
Option 3: At t = 2.5 hours,
D(2.5) = 875 Option Incorrect
Option 4: At t = 3 hours,
D(3) = 875 Option Correct
Option 5: At t = 6 hours,
D(6) = 75 X 6 + 612.5 = 450 + 612.5
= 1062.5 miles Option Correct
Thus, Option two, four and five are correct.
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A school is constructing a rectangular play
area against an exterior wall of the school
building. It uses 120 feet of fencing material to
enclose three sides of the play area.
Write an equation to represent &, the length of
the play area in feet, as
function of w. the width in teet.
Write an equation to represent A, the area in
square feet, as a function of w.
the width in feet.
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS
Answer:
120 = L+2W
LW =area.
to maximize area with given fencing that would make Width = 30 feet and length = 60
A= LW = (120-2W)W = 120W -2W^2
A' = 120-4W =0
W = 30
L=120-2(30) = 60 feet
W by L is 30 by 60 feet for max area
Part B
Now that you know the missing side length, is triangle BCD a right triangle? Give you
reason.
The length of the other leg of the right triangle will be 13.86 cm.
The complete question is given below.
The triangle BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
What is the length of the other leg?
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Let the unknown sides be x. Then we have,
19² = 13² + x²
361 = 169 + x²
x² = 361 – 169
x² = 192
x = 13.856 ≈ 13.86 cm
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Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
The sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
How to express as partial fractions?The expression is given as:
[tex]\frac{2x + 4}{x(x + 2)(x -4)}[/tex]
As a partial fraction, we have:
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex]
Take the LCM
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac {A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)}{x(x + 2)(x -4)}[/tex]
This gives
2x + 4 = A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)
Expand
[tex]2x + 4 = A(x^2 - 2x - 8) + B(x^2 - 4x) + C(x^2 + 2x)[/tex]
Further expand
[tex]2x + 4 = Ax^2 - 2Ax - 8A + Bx^2 - 4Bx + Cx^2 + 2Cx[/tex]
Collect like terms
[tex]2x + 4 = Ax^2 + Bx^2 + Cx^2 - 2Ax - 4Bx + 2Cx - 8A[/tex]
By comparing the coefficients, we have:
A + B + C = 0
-2A - 4B + 2C = 2
-8A = 4
Divide both sides of -8A = 4 by -8
[tex]A = -\frac 12[/tex]
Substitute [tex]A = -\frac 12[/tex] in the other equations
[tex]-\frac 12 + B + C = 0[/tex]
[tex]B + C = \frac 12[/tex]
[tex]C = \frac 12 - B[/tex]
[tex]-2*- \frac 12 - 4B + 2C = 2[/tex]
1 - 4B + 2C = 2
- 4B + 2C = 1
Substitute [tex]C = \frac 12 - B[/tex] in - 4B + 2C = 1
[tex]- 4B + 2*\frac12 = 1[/tex]
- 4B + 1 = 1
Subtract 1 from both sides
-4B = 0
This gives
B = 0
Substitute B = 0 in [tex]C = \frac 12 - B[/tex]
[tex]C = \frac 12 - 0[/tex]
[tex]C = \frac 12[/tex]
So, we have:
[tex]A = -\frac 12[/tex], B = 0 and [tex]C = \frac 12[/tex]
The equation [tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex] becomes
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{0}{x + 2} + \frac{1}{2(x -4)}[/tex]
Evaluate
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
Hence, the sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
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Hello! :D can someone help me solve this system of equations in the picture
By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).
How to solve the system of equations?To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.
Here we already have the equations graphed, so we only should find the points of intersection.
We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).
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if x=0 and y<0, where is the plot (x,y) located
Mark me the Brainliest!
Answer:
The point will be plotted on Y axis
What is the probability of the spinner stopping on an even number?
Given that
a:c=1:6
b:c= 2:5
Find the ratio a:b:c
Give your answer in its simplest form
and
The ratio of a : b : c in its simplest form is 5 : 12 : 30 respectively
How to solve ratio?a : c = 1 : 6b : c = 2 : 5So,
a / b = 1/6
b/c = 2/5
lowest common multiple of c in both ratio1/6 + 2/5
=(5 + 12) /30
a : b and b : c
= 5/30 and 12/30
Therefore,
a : b : c = 5 : 12 : 30
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Your bathroom floor is a square with side lengths of 9 feet. (Area = s^2)
A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job?
Answer: 81.
Step-by-step explanation: It is given that the side lengths are all 9 feet. Since the bathroom is a square, all the sides of the bathroom are 9 feet. You can use the formula (area = s^2). 9 x 9 is 81.
In a window display flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, emily has 6 plants to select from, each of a different type. selecting from the 6 plants, emily can make how many possible display arrangements with 1 plant in each spot?
Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.
We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
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Dale has $1,000 to invest. He has a goal to have $2,600 in this investment in 8 years. At what annual rate compounded continuously will Dale reach his goal?
Answer:
11.94 %
Step-by-step explanation:
Compound interest formula FV = PV e^(it) i = decimal interest per year
t = time FV = future value
2600 = 1000e^(i * 8)
solve for i = 11.94 %
Write seventy-eight and nine hundredths as a decimal number.
Submit
Answer: 78.09
Step-by-step explanation:
Seventy-eight is the whole number, so it goes to the left of the decimal point 78.09
Nine-hundredths is decimal, it goes two places to the right of the decimal point because it's hundredths 78.09
A paper is 0.55 mm thick. How high pile of 274 sheets? The paper is 24.5 long and 18.5 cm wide. Calculate volume of the pile of paper.
The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.
How high will be the pile of papers?We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:
H = 0.55mm*274 = 150.7mm
Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:
V = H*W*L
In this case, we have:
H = 150.7mmW = 18.5 cm = 185 mmL = 24.5 cm = 245 mmThen the volume is:
V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³
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HELP ASAP....NO LINKS AND NO JOKES PLEASE
Which point represents one solution of the system of inequalities below
3x+8y<=480
y-x<=20
A. (50,50)
B. (40,40)
C. (20,60)
D. (10,40)
Explanation:
Given Inequalities:
(i) 3x + 8y ≤ 480
(ii) y - x ≤ 20
For first inequality:
(a) y intercept: (0, 60)
(b) x intercept: (160, 0)
Plot this line with a solid line and shade below.For second inequality:
(a) y intercept: (0, 20)
(b) x intercept: (-20, 0)
Plot this line with a solid line and shade below.The point (40, 40) falls between these two inequalities.
What is the image of (12, -9) after a dilation by a scale factor of 1/3 centered at the origin
Answer:
(4,-3)
Step-by-step explanation:
The scale factor is 1/3. So, multiply the numbers by 1/3.
12*1/3 is 4.
-9*1/3 is -3.
The new coordinates are (4,-3).
Two functions are given below. Make sure to explain!
Answer:
B. The graph of p is less steep than the graph of q.
Step-by-step explanation:
We can start by looking at each equation's y-intercepts, which are both -3/11, eliminating option A.
Next, we take a look at each equation's slope to see which is larger.
5/8 is 0.625 in decimal form. 8/5 is 1.6 in decimal form.
Therefore, q(x) has the larger slope, meaning the graph of p is less steep than the graph of q. (B.)
function or not a function?
Answer:
function
Step-by-step explanation:
no repeated domain means its a function
solve the inequality h/3 >8
which means h divided by 3 less than 8
PLS HELP
THANKS
Answer:
h>24
Step-by-step explanation:
multiply both sides by 3 to get ride of the denominator:
h>24
I need help finding the length of the apothem! We have to round one decimal place.
Answer: 5.2
The apothem angle is 360/10, which is 36.
Therefore, we have tangent 36 = 3.8/a
And solving for a, we find that it is 5.2
The demand function for a christmas music cd is given by q=0. 6(3800-p^2)
The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
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 demand function:
q=0. 6(3800-p²)
Differentiate with respect to p:
[tex]\rm \dfrac{dq}{dp} = -1.2p[/tex]
We know the elasticity:
[tex]\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}[/tex]
[tex]\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}[/tex]
[tex]\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}[/tex]
Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.
Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
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I'm to lazy to do this-
(image below)
plx do this correctly for brainly :D
also 20 points
:)
The probability that the lunch combo will have an ham sandwich is 3 / 7.
How to find the probability of Ham sandwich?Probability simply means possibility. It describes how likely an event will occur or happen.
Mathematically,
probability = number of favourable outcome to A / total number of possible outcome
Therefore,
probability that a lunch combo will include a ham sandwich = 6 / 14 = 3 / 7
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how do you stop a skunk from smelling?
Answer:
Hold its nose
Step-by-step explanation:
You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.
Let u = {5,-12} and let c = -3. What is ll cu ll
Answer:
D) 39
Step-by-step explanation:
[tex]||\text{c}\bold{u}||=||3\langle5,12\rangle||=||\langle3*5,3*12\rangle||=||\langle15,36\rangle||=\sqrt{15^2+36^2}=\sqrt{225+1296}=\sqrt{1521}=39[/tex]
a.) Find h(g(x)) if
h(x)= 2x+9
and
g(x) = 4*
Answer:
h(4)=17
Step-by-step explanation:
h(g(x)), h(x)= 2x+9; g(x)=4
2(4)+9= 8+9=17
A scale model of a rectangular plot of land is 13 inches long by 12 inches wide. If the actual length of this plot is 780 feet, what is its actual area, in square feet?
A) 9360
B) 121,680
C) 406,080
D) 561,600
Please explain step-by-step
By finding the scale factor of the model, we will see that the area is 561,600 square feet.
How to find the area of the plot of land?
On the model, the length is 13 inches, and the actual length is 780 ft, then the scale factor is:
k = (780ft)/(13 in) = 60 ft/in
This means that each inch in the model is equal to 60ft in the actual plot of land.
Then the width is:
W = (12in)*( 60 ft/in) = 720 ft
And the area is the product between length and width, so we have:
A = (780ft)*(720ft) = 561,600 ft²
Then the correct option is D.
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