Answer:
48
Step-by-step explanation:
Given data
Ratio= 9:8
Combined ratio= 9+8= 17
Upvotes= 54
Let us apply the part to all approach to find the total votes
let the total votes be x
9/17= 54/x
cross multiply
9x= 54*17
9x= 918
divide both sides by 9
x= 918/9
x=102
Hence the number of downvotes is
=102-54
=48
Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
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solve the equation for
x 3/4(x+21) = 10.5
x =
✽✽✽✽
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]
[tex]3x=42\left(x+21\right)[/tex]
[tex]3x=42x+882[/tex]
[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]
[tex]3x-42x=42x+882-42x[/tex]
[tex]-39x=882[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]
[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]
[tex]x=-\frac{294}{13}[/tex]
❅❅❅❅❅❅❅❅❅❅
hope it helps...have a great day!!Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515 inches, find the length of chord \displaystyle \overline{AB} AB .
Answer:
18 inches
Step-by-step explanation:
Given
[tex]r = 15in[/tex] --- radius
[tex]h = 12in[/tex] --- distance between chord and the center of the circle
Required
The chord length
See attachment for illustration
First, calculate distance AX using Pythagoras theorem.
[tex]AO^2 = AX^2 + OX^2[/tex]
This gives:
[tex]15^2 = AX^2 + 12^2[/tex]
[tex]225 = AX^2 + 144[/tex]
Collect like terms
[tex]AX^2 = 225 - 144[/tex]
[tex]AX^2 = 81[/tex]
Take square roots of both sides
[tex]AX = 9[/tex]
AB is then calculated as:
[tex]AB= AX + XB[/tex]
Where:
[tex]AX=XB =9[/tex]
So:
[tex]AB = 9 + 9[/tex]
[tex]AB = 18[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
720
Step-by-step explanation:
This is a permutation of 10 choose 3
10 ! 10!
----- = ------------ = 10*9*8 = 720
(10-3)! 7!
let me know if you can help
Answer:
You S,tupid
Step-by-step explanation:
what is the answer to −5/12−3/10
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
differentiation of 1 by root x
Answer:
Here is Your answer!!!!
PLEASEEE HELP I WILL MARK BRAINLIESTTTT!!! (NO LINKS)
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Given:
The data set is:
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
To find:
The box plot for the given data set.
Solution:
We have,
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
Arrange the data in ascending order.
18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38
Divide the data in two equal parts.
(18, 19, 20, 21, 24, 25, 26), 27, (30, 31, 32, 33, 36, 36, 38)
Divide each parenthesis in two equal parts.
(18, 19, 20), 21, (24, 25, 26), 27, (30, 31, 32), 33, (36, 36, 38)
Now, the five number summary of the given data set is:
Minimum value = 18
First quartile = 21
Median = 27
Third quartile = 33
Maximum value = 38
Therefore, the required box plot for the given data set is shown below.
Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)
Answer:
[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]
[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]
In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *
A. 16
B. 32
C. 48
D. 66
Answer:
A) 16
Step-by-step explanation:
∠PQR and ∠TQS are vertical, meaning they equal each other
set up your formula as
3x+18=66
3x=66-18
3x=48
x=48/3
x=16
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?
Answer:
Option B is correct
Step-by-step explanation:
The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.
Hence, option B is correct
find the value of (256)-3/4
help with steps pls
Answer:
Step-by-step explanation:
(256)-3/4
=256*-3/4
=-768/4
=-192
The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?
Answer:
2,000 cubic centimeters
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
[tex]v = \frac{b}{p}[/tex]
where b = constant of proportionality
5000 = b / 200
b = 5000 x 200 = 1,000,000
v = 1,000,000 / 500
v = 2000
If AB is parallel to CD and the slope of CD is-5, what is the slope of AB?
O A.
01
B.
1
C. -5
D. 5
Answer:
C. -5
Step-by-step explanation:
If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.
Slope of line AB parallel to CD is -5
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
Given,
AB is parallel to CD
Slope of CD m = -5
When two lines are parallel
their slopes are same
m' is slope of AB
then
m' = m
m' = -5
Slope of AB is -5.
Hence, -5 is slope of line AB.
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-5+9j=67
Please help me with math!
Answer: j=8
Step-by-step explanation: first, add 5 to both sides. You now have 9j = 72. Then divide each side by 9. You now have j=8
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
A =?
P= 9456
r = 6% = 0.06
t = 5 yrs
Formula
A= P(1+r)^t
A= 9456×1.06⁵
A = 12646.23
the total amount that he had to pay was 12646 rs
What's the solution to 3x – 6 < 3x + 13? A) x > 5 B) All real numbers C) There are no solutions. D) x < –5
Answer:
C) there are no solutions
Step-by-step explanation:
3x-6<3x+13
3x<3x+19
0<19
Dominic says the approximate volume
of the sphere below is 85.33 cm3.
Find the correct approximate volume,
using 3.14 for p. Round to the nearest
hundredth. What was Dominic’s
likely error? (The radius is 4.)
Answer:
V = 267.95 cm^3
Dominic forgot to multiply by the approximation for pi
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 ( 3.14) (4)^3
V = 267.946666666
Rounding to the nearest hundredth
V = 267.95 cm^3
If you do not multiply by the approximation for pi
V = 85.3333333pi cm^3
Dominic forgot to multiply by the approximation for pi
Lilly went shopping with her mother. She took $48.95 with her to spend. She spent $23.57 at one store. How much money did she have left?
Answer:
Difference= $25.28
Step-by-step explanation:
Giving the following information:
She took $48.95 with her to spend. She spent $23.57 at one store.
To calculate the money she has left, we need to use the following formula:
Difference= total amount of money - money spent
Difference= 48.95 - 23.57
Difference= $25.28
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
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someone PLEASE HELP!!!
answer explanation = brainliest, 5 star rating
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is ___ times the volume of the original cube.
Answer:
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.
Answer:
the volume of cube diladet
9375_______
Annora bought a box of cookies that matches the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number, round to the nearest tenth. Help pls
How long is a pencil the nearest inch and to the nearest centimeters?
Answer:
A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.
The question says to the nearest inch. Therefore we have to approximate to to a whole number.
7.5, when rounded up to the nearest number, is 8 inches.
Hence, the answer is 8 inches or 19 centinmeters.
Cheers
Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
l WILL GIVE BRAINLIEST......
find the range of X
Answer:
Step-by-step explanation:
Numbers that is less than 5 like 4,3,2,1,0
Answer:
1>x>-2 or -2<x<1
Step-by-step explanation:
2<3-x<5 (minus 3)
-1<-x<2 (devide by -1)
1>x>-2
Find the distance between the points (1, 4) and (- 2, - 1).
Helllllllloooppppppp pls . *
Answer:
It's 46
Step-by-step explanation:
Because 90-44 it's 46
I need please it would really help me alot !!
no link or zooms
Answer:
18.266
Step-by-step explanation:
Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.
Answer:
The responses to the given can be defined as follows:
Step-by-step explanation:
For point a:
fixing probability vector that is [tex]W = [a b c][/tex]
[tex]\therefore[/tex]
relation: [tex]WT =W[/tex]
[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]
solving the value:
[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]
Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]
For point b:
[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]
[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.