Step-by-step explanation:
5k×8×20
_______ =800
100
Answer:
≈ 23305
Step-by-step explanation:
The amount A is calculated as
A = P [tex](1+r)^{t}[/tex]
P is the principal
r is the interest rate
t is the time in years
A = 5000 [tex](1+0.08)^{20}[/tex]
= 5000 [tex](1.08)^{20}[/tex]
≈ 23305 ( to the nearest whole number )
LCM of (2^3×3×5) and (3×5) is
Answer:
120
Step-by-step explanation:
LCM of (2^3×3×5) and (3×5) is
The LCM of the expression will be the product of all the factors that are in both expressions
(2^3×3×5) = 2 * 2 * 2 * 3 * 5
(3 * 5) = 3 * 5
since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;
LCM = 2 * 2 * 2 * 3 * 5
LCM = 8 * 3 *5
LCM = 24 * 5
LCM = 120
Hence the required LCM is 120
Which expression is equivalent to this: "3 multiplied by z"?
Answer:
3z
Step-by-step explanation:
When you write a number followed by a variable with no operation in between them, it means multiplication.
3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.
Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250
Can someone please help me?
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
The formula A = 23.1 e 0.01521 models the population of a US state, A, in millions, t years after 2000.
a. What was the population of the state in 2000?
b. When will the population of the state reach 28.3 million?
a. In 2000, the population of the state was__million.
b. The population of the state will reach 28.3 million in ___.
Answer:
- The population in 2001 is 23.1 million
- It will reach 28.3 million in 2013
Step-by-step explanation:
Given
[tex]A =23.1e^{0.0152t}[/tex]
Solving (a): Population in 2000.
This implies that
[tex]t = 2000 - 2000[/tex]
[tex]t = 0[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]A =23.1e^{0.0152*0}[/tex]
[tex]A =23.1e^{0}[/tex]
Solve the exponent
[tex]A =23.1*1[/tex]
[tex]A =23.1[/tex]
The population in 2001 is 23.1 million
Solving (b): When will it reach 28.3 million
This implies that:
[tex]A =28.3[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]28.3 = 23.1e^{0.0152t}[/tex]
Divide both sides by 23.1
[tex]1.225 = e^{0.0152t}[/tex]
Take natural logarithm of both sides
[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]
Rewrite as:
[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]
[tex]ln(e) = 1[/tex]
So:
[tex]ln\ 1.225 = 0.0152t*1[/tex]
[tex]ln\ 1.225 = 0.0152t[/tex]
Make t the subject
[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]
[tex]t = \frac{0.2029}{0.0152}[/tex]
[tex]t \approx 13[/tex]
Add the value of t to 2013 to get the actual year
[tex]Year = 2000 +13[/tex]
[tex]Year = 2013[/tex]
It will reach 28.3 million in 2013
Step by step please
Please
Answer:
137/1000
Step-by-step explanation:
Because we have 3 numbers after 0....
hope it helps
Adams watches a movie that is 2 hours 15 minutes long how many minutes is the time
Answer:
135 minutes
Step-by-step explanation:
Answer:
135 minutes
Step-by-step explanation:
1 hour= 60 minutes
2hours=60x2=120 minutes
120+15=135 minutes
plz mark me as brainliest.
three times one number minus a second is 8 and the sum of the number is 12
Answer:
one number is 2
second number if 3 1/3
Step-by-step explanation:
a = one number
b = second number
3a - b = 8
3a + b = 12
add together:
6a = 20
a = 20/6 or 10/3
find 'b':
3(10/3) - b = 8
10 - b = 8
-b = -2
b = 2
A single 6-sided die is rolled. Which BEST describes the probability of rolling a number 4 or less? 1) A ) impossible B) unlikely likely certains
Answer:
it is likely because the majority of the outcomes are in your favor
Answer:
A
Step-by-step explanation:
Impossible, did it on usatestprep
Consider harmonic oscillators with mass m, spring constant k, and damping coefficient b. For the values specified,
a. write the second-order differential equation and the corresponding first-order system.
b. find the eigenvalues and eigenvectors of the linear system.
c. classify the oscillator (as underdamped, overdamped, critically damped, or undamped) and, when appropriate, give the natural period.
d. sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition.
Answer:
a) attached below
b) Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
c) since the Oscillator is > 0 hence it is Overdamped
Step-by-step explanation:
Lets take : m = 2 , k = 1 and b = 3
a) Second -order differential equation and the first order system
attached below
b) determine the eigenvalues and eigenvectors of the Linear system
Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
attached below is the detailed solution
c) The oscillator is classified as OVERDAMPED
To determine if the oscillator is damped, underdamped, or overdamped we will apply the relation below
b^2 - 4km
( 3 )^2 - 4(1)(2) = 1
since the Oscillator is > 0 hence it is Overdamped
d) Attached below is the phase portrait of the associated linear system
y(0) = 0
v(0) = 0
Then k =
Answer and I will give you brainiliest
Which line has a slope of 0?
Answer:
y =-10
Step-by-step explanation:
because there is no value of x so the slope of y is-10
HELP MEEEE !!!
Plsssss
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠RQO and ∠STV
∠PQO and ∠UTV
Step-by-step explanation:
PLEASE HELP ASAP
Find the greatest common factor of these two expressions:
30x^8 w^4 v^3 and 12w^7 v^5
Answer:
[tex]Factor = 6w^4 v^3[/tex]
Step-by-step explanation:
Given
[tex]30x^8 w^4 v^3[/tex] and [tex]12w^7 v^5[/tex]
Required
Determine the common factor.
To do this, we simply factorize each. SO, we have:
[tex](1)\ 30x^8 w^4 v^3=: 2 * 3 * 5 * x^8 * w^4 * v^3[/tex]
[tex](2)\ 12w^7 v^5:=\ 2 * 2 * 3 * w^4*w^3 * v^3 * v^2[/tex]
Check for similar factors.
[tex]Factor = 2 *3 * w^4 * v^3[/tex]
[tex]Factor = 6w^4 v^3[/tex]
The above represents the similar factor
Use the distributive property to remove the parentheses (-4+3x+3v)(-2)
Answer:
your final answer would be −6v−6x+8
Step-by-step explanation:
(−4+3x+3v)(−2)
=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together
=8−6x−6v combine like terms
= -6v-6x+8 put in standerd form
Answer:
-(-4+3x+3v)2
Step-by-step explanation:
1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)
2.) (-4+3x+3v)
Remove parentheses: (-a) = -a
Answer: -(-4+3x+3v)2
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling: Pine Trees Spruce Trees Sample Size 40 80 Mean trunk diameter (cm) 35 30 Population variance 160 160 Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
Answer:
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Step-by-step explanation:
Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
[tex]H_a: \mu_1 - \mu_2 > 0[/tex]
In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Mean trunk diameter (cm) 35 30:
Pine trees - 35
Spruce trees - 30
The sample mean is given by the subtraction of the means. So
[tex]X = 35 - 30 = 5[/tex]
Sample Size 40 80
Population variance 160 160
This means that the standard error for each sample is given by:
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]
The standard error of the difference is the square root of the sum squared of the standard error of each sample.
[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{5 - 0}{2.4495}[/tex]
[tex]z = 2.04[/tex]
Pvalue of the test:
Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.
Looking at the z-table, z = 2.04 has a pvalue of 0.9793.
1 - 0.9793 = 0.0207
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Can someone help me? I am stuck on this question! and tysm for the people who helped me!! <3 have a nice day!
Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.
Answer:
24
Step-by-step explanation:
Sara = x age
Amy = x+2 when Sara x = 22 Amy is x + 2 = 24
Product of ages = 528 so............
x(x+2) = 528
x² + 2x - 528 = 0 solve for x I did it graphically first to get x = -24, 22
(x+24) (x-22) = 0
(x+24) = 0 (x-22) = 0
x = -24 x = 22 since you really can't have a negative age
the y coordinate is 7 more than the x coordinate
Answer:
if you have the value of x then y =x +7
Question 17
17. Find the scale factor that was used in the dilation shown.
Answer:
We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.
Step-by-step explanation:
after a car traveled 70 miles from its starting point the was still at least 500 miles from the end of the trip which inequality represents the total distance t of the trip from the starting point to the end
Answer:
The answer to this inequality is 70<x<500
Answer:
t ≥ 570
Step-by-step explanation:
Need help don’t understand thank you
Answer:
1: mean equals 17.417, median is 12.75, mode is 8.2, range is 33, the minimum is 8.2 the maximum is 41.2. The IQR is 16.55, the quartiles is q1: 8.95, q2: 12.75, q3 is 25.5, there are no outliers.
2: the best middle is 12.75 because the median is usually the middle number but if you orgainze the numbers there will be two but you will end up getting 12.75 as your median. take the two middle number add together then divide by 2 then that is your answer.
Step-by-step explanation:
GOOD LUCK
pls help find area and perimeter
Answer:
A is 14 and P is 17
Step-by-step explanation:
working is above mentioned
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3:00 p.m. in Houston.
Step-by-step explanation:
14. Which of the following is not a true statement about the scatter plot above?
A. The association of the scatter plot is positive.
B. The association of the scatter plot is linear.
C. For every additional day of a trip, the weight of a suitcase increases 5 pounds.
D. For every 5 additional days of a trip, the weight of a suitcase increases one pound.
Answer:
Step-by-step explanation:
Find the sum of the following arithmetic series:
(a) 6-5-16 - .... -115 (b) 21
(c) 13 + 6 -1 - .... -106
Find the sum of the first 500 odd numbers.
Answer:
12345678910
Step-by-step explanation:
CHARRRRRRRRR joke lang bestie
what si the answer to this??
Answer:
One solution
Step-by-step explanation:
The slopes are different which means, the systems has one solution.
hope this helps and is right p.s. i really need brainliest :)
Solve the system of equations by graphing
Answer:
Here's a graph to help you solve this answer:
help plz plz plz ill give brain