Answer:
last option is correct: bc^5(5abc^6 + 2)
Step-by-step explanation:
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]
I need help on this. it would really help me alot
Answer:
23.31 ft
Step-by-step explanation:
Tan y= opposite÷adjacent
tan 47= 25÷ x
tan 47 • x = 25
x= 25÷ tan 47
x= 23.31 ft
HOPE THIS HELPS!
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
Ani was told to write the number four and eight hundredths. She wrote 4.8. Was Ani correct or incorrect
Harry buys a waffle maker priced at $48. If the sales tax is 9%, how much tax will Harry pay?
Answer:
2325
Step-by-step explanation:
Kkkkkkkkjajahaaj
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.
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).
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.
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
let me know if you can help
Answer:
You S,tupid
Step-by-step explanation:
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.).
Learn more about continuous compounding interest here:
https://brainly.com/question/28004698
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Please help and show the formula used, along with all substitutions and calculations needed
Answer:
The given triangle is right.
Step-by-step explanation:
The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:
[tex]a^2+b^2=c^2[/tex]
If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.
Substitute in the given values and solve to prove the triangle is right,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex](9.6)^2+(12.8)^2=(16)^2[/tex]
Simplify,
[tex]92.16+163.84=256[/tex]
[tex]256=256[/tex]
The given triangle is right since its sides follow the Pythagorean converse theorem.
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]
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
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
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
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
How long an umbrella will fit in the bottom of a suitcase 1.5 feet by 2.5 feet
Answer:
pointing towards the top
Step-by-step explanation:
1.5 feet long 2.5 feet wide the suitcase is so straight
HOPE OT HELPS
Find the distance between the points (1, 4) and (- 2, - 1).
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
In a group of 20 students there are 11 girls what is the ratio of boys to girls
Answer:
9:11
Step-by-step explanation:
subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11
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.
Learn more about slope here:
https://brainly.com/question/3605446
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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
differentiation of 1 by root x
Answer:
Here is Your answer!!!!
Helllllllloooppppppp pls . *
Answer:
It's 46
Step-by-step explanation:
Because 90-44 it's 46
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
I need please it would really help me alot !!
no link or zooms
Answer:
18.266
Step-by-step explanation:
Please help quickly !!
Since these are right triangles, we can use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
50^2 + 20^2 = c^2
2500 + 400 = c^2
2900 = c^2
c = sqrt[ 100 * 29]
c = 10 sqrt[29]
In the boxes, a = 10, b = 29.
Hope this helps!! :)
PLS HELP I NEED THIS DONE ASAP AND IT IWLL MEAN ALOT AND ILL MAKRK U AS BRAINLIST ITS 6TH GRADE GEOGRAPHY
Answer:
The area of the shaded polygon is 31 square units.
Step-by-step explanation:
The procedure to calculate the area of the shaded irregular polygon is described below:
1) Calculate the area of the initial rectangle.
2) Calculate the areas of the four triangles.
3) Subtract the areas of the four triangles from the initial triangle.
[tex]A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}[/tex]
[tex]A = 31[/tex]
The area of the shaded polygon is 31 square units.