Answer:
the watch is Rs 175
the radio is Rs 325
Step-by-step explanation:
x = price of the watch
y = price of the radio
x+y = 500
x + 150 = y
=>
x + (x+150) = 500
2x + 150 = 500
2x = 350
x = 175
=>
y = 175 + 150 = 325
Fastest answer will be declared the brainliest
Answer:
All whole numbers are rational numbers.
False
All integers are whole numbers.
True
There are integers that are not rational numbers.
True
There are whole numbers that are not integers.
True.
Nishi invests £3500 at 4% interest per year. Work out how much she will have altogether after: 2 years
Answer:
£3780
Step-by-step explanation:
P= £3500, R=4%, t=2years
I = PRT/100
I= (3500×4×2)/100 =£280
Amount in 2years = P+I = £3500+ £280= £3780
for the function g(x)=3-8(1/4)^2-x
a) State the y-intercept
b) State the equation of the horizontal asymptote
c) State whether the function is increasing or decreasing.
d) State the domain and range
e) Sketch the graph
Could anyone help?
Using function concepts, it is found that:
a) The y-intercept is y = 2.5.b) The horizontal asymptote is x = 3.c) The function is decreasing.d) The domain is [tex](-\infty,\infty)[/tex] and the range is [tex](-\infty,3)[/tex].e) The graph is given at the end of the answer.------------------------------------
The given function is:
[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]
------------------------------------
Question a:
The y-intercept is g(0), thus:
[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]
The y-intercept is y = 2.5.
------------------------------------
Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]
--------------------------------------------------
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]
Thus, the horizontal asymptote is x = 3.
--------------------------------------------------
Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
--------------------------------------------------
Question d:
Exponential function has no restrictions in the domain, so it is all real values, that is [tex](-\infty,\infty)[/tex].From the limits in item c, the range is: [tex](-\infty,3)[/tex]--------------------------------------------------
The sketching of the graph is given appended at the end of this answer.
A similar problem is given at https://brainly.com/question/16533631
Can someone please explain how to do this?(Picture above) I'll give brainliest!
Answer:
f(1)=4
f(-3)=4
f(5)=-2
f(0)=2
f(-1)=0
f(3)=2
Step-by-step explanation:
Pose f(x) as your x value. Now apply to the graph
Factor 16p4 - 24p3. find the factor
Answer:
8p^3 ( 2p -3)
Step-by-step explanation:
16p^4 - 24p^3
8*2* p^3 *p - 3*8*p^3
Factor out the common terms
8p^3 ( 2p -3)
Find dy /dx of x² - 2x + 5 - 6x
Answer:
Step-by-step explanation:
If [tex]y=x^2-2x+5-6x[/tex] then
[tex]y=x^2-8x+5[/tex] by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).
[tex]\frac{dy}{dx}=2x-8[/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
1)
-2x - 5 = x - 17
-2x - 5 + 5 = x - 17 + 5
* cancel out 5 on each side of equal sign.
2)
-2x = x - 12
-2x - x = x - x - 12
* cancel out x on each side of equal sign.
3)
-3x = -12
-3x/ -3 = -12/-3
* cancel out -3x on each side of equal sign.
4) Simplify
x = 4
Hope this helps, good luck! :)
Have a great day!!
The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
Its correct trust me.
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
Please help out need explanation so I can know how to do it
Answer:
B = 60in^2
H = 4in
P = 34in
SA = 280
Step-by-step explanation:
Base - The base I assume would be the red rectangle, and 12x5 would be the area of that, so the answer is 60
Height - I assume that the height is 12, if the prism is vertical, if horizontal, then the height would be 4.
Perimeter - The length of the side lengths, so the base is the red sqaure 12+12+5+5=34
Surface Area - Base=60*4 (There are 4 "bases") =240, and then we have 5*4 (For the little squares, and times this by 2 becasue there are 2 of them) = 20*2=40
40+240=280
solve the quadratic equation
give your answer to 2 decimal places
: 3x^2+x-5=0
Given:
The quadratic equation is:
[tex]3x^2+x-5=0[/tex]
To find:
The solution for the given equation rounded to 2 decimal places.
Solution:
Quadratic formula: If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]3x^2+x-5=0[/tex]
Here, [tex]a=3,b=1,c=-5[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{1+60}}{6}[/tex]
[tex]x=\dfrac{-1\pm \sqrt{61}}{6}[/tex]
[tex]x=\dfrac{-1\pm 7.81025}{6}[/tex]
Now,
[tex]x=\dfrac{-1+7.81025}{6}[/tex]
[tex]x=1.13504167[/tex]
[tex]x\approx 1.14[/tex]
And
[tex]x=\dfrac{-1-7.81025}{6}[/tex]
[tex]x=-1.468375[/tex]
[tex]x\approx -1.47[/tex]
Therefore, the required solutions are 1.14 and -1.47.
Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?
The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
3x^2 – 7x + 4
a=3 b = -7 c=4
The discriminant is
b^2 -4ac
(-7)^2 - 4(3)(4)
49 - 48
1
Since the discriminant is greater than zero, there are two real solutions
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
-8z^{-2} Write the expression using only positive exponents. Assume no denominator equals zero.
Answer:
Step-by-step explanation:
-8z⁻² = -8/z²
Find the height of the room 15m long amd 10 m wide . The area of whose floor and ceiling together is equal to the area of 4 walls
Answer:
first
you
do15 multiply 10 =150 then divide by 4 walls with 150 =37.5 then mutiply with 4
How high does rent have to be to be an outlier
Answer:
congratulate you have Windows 11
please help I will mark brainlyest
Answer:
Choice D.
Step-by-step explanation:
Hello! Me again, this is my explanation to my solution,
A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.
Hope this helped! Let me know if you have further questions! :)
Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, with a surface area of 200 cm^2.
Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm
Please hurry I will mark you brainliest
Ingrid walks 1 m, and then turns 90° left. She repeats these steps three more times and returns to the exact place she started. Which of the following instructions can she repeat a number of times to arrive at the exact same starting point?
• Walk 1 m, and then turn 40° left.
• Walk 1 m, and then turn 55° left.
• Walk 1 m, and then turn 70° left.
• None of these
Answer:
• Walk 1 m, and then turn 40° left.
Step-by-step explanation:
Answer:
None of them
Step-by-step explanation:
None of the answers get her back to the same point in only four steps. she would need a different way of walking to get the same result as a square.
PLEASE Help! I need this by tomorrow!
Answer:
18m
Step-by-step explanation:
6 times 3 = 18
5. Solve each of the following quadratic equations using the Quadratic Formula (Express all roots as integers or as real numbers rounded to one decimal place)
a) 2x2 – 3x - 10 = 0
b) 3x2 - 8x + 4 = 0 (answer pls:)
please answer fast urgent
PLEASE HELP! I HAVE BEEN AT THIS FOR A LONG TIME!.
For each investement, 25 000 is deposited in an account. How much is each payment?
(a. 8% per annum, compounded annually, with annual payments starting in a year.
Answer:
Annual payment wil be 2,001 and total amount after compounded annually will be 27,001
Anyone Answer Please
Answer:
shift of 6 units left
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
f(x) = 3 | x + 6 | + 9
Represents a horizontal shift of the parent function 6 units left
Tìm m để hàm số sau là hàm số bậc nhất:
(2m-1)x+2018
Answer:
2mx-x+2018
Step-by-step explanation:
multiply each term in the parentheses by x
Find the length of BW
A.132.59
B.134.24
C.21.26
D.3.33
Answer:
BW = 132.59
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 9 = 21 / BW
BW tan 9 = 21
BW = 21/ tan 9
BW = 132.5887818
BW = 132.59
Answer:
Step-by-step explanation:
Side BW is the height, aka as the side adjacent to the reference angle of 9 degrees. We have the side opposite the reference angle (21) and we are looking for the side adjacent to the reference angle. The trig ratio that we use for this, the one that relates the sides opposite and adjacent, is the tangent ratio, namely:
[tex]tan(9)=\frac{21}{BW}[/tex] and solving for BW:
[tex]BW=\frac{21}{tan(9)}[/tex] so
BW = 132.59
evelins room has an area of 45 squar feet. the length of her room is 5. what is the perimeter of her room?
Answer:
28 feet
Step-by-step explanation:
Since the area is 45 and length is 5.In order to find the width we divide the area by the side given
45 ÷ 5 = 9 is the width
Perimeter is the sum of all the side of a figure.
9 + 9 + 5 + 5
= 28
I hope this helps :)
What kind of shape will you see if you cut a cross section parallel to the base of a cylinder
Answer:
Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base
Answer:
The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
Will Give Brainliest!
Solve for r.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
35r - 21 < -35r + 19
Answer:
r < 4/7
Step-by-step explanation:
35r - 21 < -35r + 19
35r + 35r < 19 + 21
70r < 40
r < 4/7
Answer:
r < 4/7
Step-by-step explanation:
5 + 8n = 7(-7 + 4n) -6
Answer:
n = 3
Step-by-step explanation:
Given
5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side
5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )
5 - 20n = - 55 ( subtract 5 from both sides )
- 20n = - 60 ( divide both sides by - 20 )
n = [tex]\frac{-60}{-20}[/tex] = 3
7 x ..... = 364 whats the missing number ?
To find the missing number divide 364 by 7
364 / 7 = 52
The missing number is 52
Answer:
52
Step-by-step explanation:
In this equation, you would have to use inverse operations.
Since this equation is a multiplication equation, you need to do the opposite, division. So, 364 ÷ 7 = 52
Hope this helps! :)
Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST?
Answer:
[tex]ST = 6cm[/tex]
Step-by-step explanation:
Given
[tex]RS =2x[/tex]
[tex]ST = 3x[/tex]
[tex]RT = 10[/tex]
Required
Find ST
From the question, we understand that S is between R and T.
So:
[tex]RS + ST = RT[/tex]
Substitute known values
[tex]2x + 3x = 10[/tex]
[tex]5x =10[/tex]
Divide both sides by 5
[tex]x =2[/tex]
Given that:
[tex]ST = 3x[/tex]
[tex]ST = 3 * 2[/tex]
[tex]ST = 6cm[/tex]
Answer:
C or 6 centimeters
Step-by-step explanation:
