Answer:
14*6=18 or add them
Step-by-step explanation:
its either multiply or add them together
Select all expressions that are equivalent to 5% of 200.
А 1/20 X 200
B 1/5 x 200
С 1/2 • 200
D 10
E 5
Write 1/b9 in standard exponential form
Answer:
Step-by-step explanation:
exponent on 1 is 9
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation. 0
Answer:
Start with equation,
y''(x) = f(x) = 6y/(10x-x²) about point x₀ = 5
Then,
y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….
by inspection,
y(5) = a₀ and y'(5) = a₁
then,
y''(5) = 6a₀/(50-25) = 6a₀/25
y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2
then,
y'''(5) = 6a₁/25 - 0 = 6a₁/25
y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³
then,
y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0
= 48a₀/625
So,
y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …
or
y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...
or
y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....
Learn more about equation here-
https://brainly.com/question/3391581
#SPJ4
5a) Determine the measure of each unknown angle
Answer:
Step-by-step explanation:
25, i think
The manager of a store wants to know more about the proportion of customers who are visiting the store for the first time. She collects a random sample and builds this 99% confidence interval for the proportion of customers who are visiting the store for the first time: [0.23, 0.29). The regional manager asks what the probability is that the true proportion of new customers is higher than 30%. Please choose the most accurate answer to the regional manager's question. The probability is less than 0.5% The probability is exactly 1% The probability is less than 1% The probabilty is greater than 1% The probability is greater than 0.5%
The most accurate answer to the regional manager's question is: The probability is less than 1%.
The 99% confidence interval provided for the proportion of customers visiting the store for the first time is [0.23, 0.29). This interval suggests that we can be 99% confident that the true proportion of new customers falls within this range. Since the confidence interval does not include 30%, it indicates that the probability of the true proportion being higher than 30% is less than the specified confidence level of 99%. Therefore, the probability is less than 1%.
Know more about probability here:
https://brainly.com/question/31828911
#SPJ11
Owen invested $310 in an account paying an interest rate of 7 7/8% compounded continuously. Dylan invested $310 in an account paying an interest rate of 7 1/4% compounded monthly. To the nearest hundredth of a year, how much longer would it take for Dylan's money to triple than for Owen's money to triple?
It would take approximately 1.34 years longer for Dylan's money to triple compared to Owen's money.
To find out how much longer it would take for Dylan's money to triple compared to Owen's money, we need to determine the time it takes for each investment to triple.
For Owen's investment, the continuous compound interest formula can be used:
A = P * e^(rt)
Where:
A = Final amount (triple the initial amount, so 3 * $310 = $930)
P = Principal amount ($310)
e = Euler's number (approximately 2.71828)
r = Interest rate (7 7/8% = 7.875% = 0.07875 as a decimal)
t = Time (in years)
Plugging in the values, we have:
930 = 310 * e^(0.07875t)
Now, let's solve for t:
e^(0.07875t) = 930 / 310
e^(0.07875t) = 3
Take the natural logarithm of both sides:
0.07875t = ln(3)
Solving for t:
t = ln(3) / 0.07875 ≈ 11.15 years
For Dylan's investment, the compound interest formula with monthly compounding can be used:
A = P * (1 + r/n)^(nt)
Where:
A = Final amount (triple the initial amount, so 3 * $310 = $930)
P = Principal amount ($310)
r = Interest rate per period (7 1/4% = 7.25% = 0.0725 as a decimal)
n = Number of compounding periods per year (12, since it compounds monthly)
t = Time (in years)
Plugging in the values, we have:
930 = 310 * (1 + 0.0725/12)^(12t)
Now, let's solve for t:
(1 + 0.0725/12)^(12t) = 930 / 310
(1 + 0.0060417)^(12t) = 3
Taking the natural logarithm of both sides:
12t * ln(1.0060417) = ln(3)
Solving for t:
t = ln(3) / (12 * ln(1.0060417)) ≈ 9.81 years
The difference in time it takes for Dylan's money to triple compared to Owen's money is:
11.15 - 9.81 ≈ 1.34 years
Therefore, it would take approximately 1.34 years longer for Dylan's money to triple compared to Owen's money.
For more questions on money
https://brainly.com/question/29498634
#SPJ8
Fiona needs $3676 each month for bills and rent, and
$166 each week for weekly expenses. How much does
Fiona need to net yearly?
A. $56,586
B. $45,890
C. $59.764
D. $52.744
Identify the correct term. When two numbers are not equal, an is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.
The expressions that shows relationship that are not equal.
What are inequalities?Inequality are expression that are separated by an equal sign. The inequality signs are >, <, ≥, ≤, or ≠
If a two numbers are not equal, then one is either greater or less than the other. The relationship between values that are not equal is as shown;
6 < 7
23 > 15
This are expressions that shows relationship that are not equal.
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ1
Answer: inequality
Step-by-step explanation:
Factor
16x^3 + 8x^2 + x
13. The following frequency table contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.YearDeaths2000231200121,357200211,685200333,8192004228,802200588,00320066,6052007712200888,01120091,7902010320,120201121,8532012768Total823,346What is the percentage of deaths that occurred in 2004? Round your answer to the nearest tenth of a percent. %
You need to determine the percentage of deaths that occurred in 2004. To do so, you have to calculate the relative frequency for the fifth category and multiply the result by 100 to express it as a percentage.
To calculate the relative frequency you have to divide the absolute frequency by the sample size:
\(h_i=\frac{f_i}{n}\)\(\begin{gathered} h_5=\frac{f_5}{n} \\ h_5=\frac{228802}{823346} \\ h_5=0.27789 \end{gathered}\)Multiply the result by 100 to express it as a percentage and round it to the nearest tenth of a percent:
\(0.27789\cdot100=27.789\approx27.8\%\)The percentage of deaths that occurred in 2004 is 27.8%
Can
you make a square out of 56 blocks?
Answer:
No
7x7=49 and 8x8=64, 56 does not have an exact square root
Need some advice Please help me!!! also enjoy these points
Answer:
what type of help......
Is the following statement true or false?
The intersection of three planes can be a ray.
The statement which says "The intersection of three planes can be a ray." is; True
How to define planes in math's?In terms of line segments, the intersection of a plane and a ray can be a line segment.
Now, for the given question which states that the intersection of three planes can be a ray. This statement is true because it meets the definition of plane intersection.
Read more about Line Planes at; https://brainly.com/question/1655368
#SPJ1
Answer:
False
Step-by-step explanation:
Saw a one star rating on the other answer, so I put false as my answer and got it correct.
Peter stands at the vertex A of a square ABCD. He can make one step at a time either clockwise or counter-clockwise (the length of the step equals the side-length of the square). In how many ways he can make 8 steps and land at the same vertex A?
Therefore 128 ways that Peter can make 8 steps and land back at vertex A.
How many ways can Peter make 8 steps to Vertex A?There are two possible directions for each step that Peter can take, either clockwise or counter-clockwise.
Therefore, for 8 steps, there are 2^8 = 256 possible ways that Peter can make the steps. However, only half of these ways will end with Peter back at vertex A, since the other half will have him end at the opposite vertex.
Therefore, there are 256/2 = 128 ways that Peter can make 8 steps and land back at vertex A.
Learn more about vertex here: https://brainly.com/question/17987697
#SPJ1
PLS HELPP 20 POINTS
A box contains hair clips of 3 diff sizes. -15 small hair clips -12 medium hair clips -6 large hair clips
If one hair clip is randomly selected from the box,what is the probability that the hair clip will be either small or medium?
A)9/11
B)3/7
C)2/9
D)1/6
Answer: 17/33
Step-by-step explanation:
Or means add the 2 probabilities
There are a total of 33 outcomes.
getting a small clip is 15/33
getting a medium clip is 12/33
add the two probabilities 15/33 +12/33 = 17/33
I'm sure of my numbers. I think the question is off or answers
John took a 5 1/2 mile walk to his friend's house. He left at 11 a.M. And arrived at his friend's house at 12:45 p.M. Therefore it took him 1 3/4 hours to get to his friends house. If the return trip took 2 1/4 hours, what is the average speed on the return trip?
Answer:
The average speed on the return trip is 2.44 miles/h.
Step-by-step explanation:
To find the average speed we need to use the following equation:
\( \overline{v} = \frac{d}{t} \)
Where:
d: is the distance
t: is the time
Since the question is to find the average speed on the return trip, we will take the data of the time and speed of only the return trip.
\(\overline{v} = \frac{d}{t} = \frac{5 + 1/2}{2 + 1/4} = 2.44 miles/h\)
Therefore, the average speed on the return trip is 2.44 miles/h.
I hope it helps you!
How could you write the numerical expression “4x + 1.25” in words?
The sum of three consecutive integers is 78. What are the three integers?
Lil for each of 5 days. He pays
Answer:
25, 26, 27
Step-by-step explanation:
By adding these three consecutive integers together, you get 78. Test it on a calculator if you'd like to.
If a firm uses x units of input in process A, it produces 32x3/2 units of output. In the alternative process B, the same input produces 4x3 units of output. For what levels of input does process A produce more than process B?
Answer:
The outcomes produced by A would be greater than B. A further explanation is provided below.
Step-by-step explanation:
Given:
In process A,
Produced units = \(32x^{1.5}\)
In process B,
Produced units = \(4x^3\)
If the outcomes are equivalent then,
⇒ \(32x^{1.5}=4x^3\)
⇒ \(x^{1.5} = 8\)
By taking log both sides, we get
⇒ \(log \ 8= 1.5 \ log \ x\)
⇒ \(x=3.99\)
Which of the following numbers is a factor of 63
The number that is a factor is 63 is C. 7.
What exactly is a factor?In mathematics, a factor of a number is a divisor of the given number that divides it completely without leaving any remainder.
A factor is a number that divides another number by itself and leaves no remainder. In other words, if multiplying two whole numbers yields a product, then the numbers being multiplied are factors of the product because the product is divisible by them.
A divisor of an integer n, also known as a factor of n, is an integer m that can be multiplied by another integer to produce n. In this case, n is also said to be a multiple of m.
In this case, the factors of 63 are 1, 3, 7, 9, 21 and 63.
The factor is 7.
Learn more about factor on:
https://brainly.com/question/24734894
#SPJ1
Complete question
Which of the following numbers is a factor of 63
2
5
7
11
Based on the data given in the picture, calculate the area of the car track...
Please, I need help, i will mark the answer with a brainliest mark...
Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.
The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.
The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.
The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.
After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.
orange area = (green) - (blue)
track area = (10000+625pi) - (8400+441pi)
track area = 10000+625pi - 8400-441pi
track area = (10000-8400) + (625pi - 441pi)
track area = 184pi + 1600 is the exact area in terms of pi
track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.
In the one-way ANOVA, the within-groups variance estimate is like _________ in two-way ANOVA. A. the row variance estimate B. the within-cells variance estimate C. the column variance estimate D. the interaction variance estimate
In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.
Option B is right choice.
In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.
This is because both types of variance estimates measure the variation within groups or cells of the independent variable(s).
In a one-way ANOVA, the independent variable has only one factor or level, and the within-groups variance estimate measures the variation within each group or level of the factor.
This estimate reflects the extent to which the data points within each group deviate from the group mean.
In a two-way ANOVA, there are two independent variables or factors, and the within-cells variance estimate measures the variation within each combination of levels of the two factors.
This estimate reflects the extent to which the data points within each cell (or combination of factor levels) deviate from the mean of that cell.
Therefore, the within-cells variance estimate in the two-way ANOVA plays a similar role as the within-groups variance estimate in the one-way ANOVA.
Both estimates reflect the degree of variability within the groups or cells of the independent variable(s) and both are used to calculate the F-statistic and determine the statistical significance of the effects of the independent variable(s) on the dependent variable.
Option B is right choice.
For similar question on variance
https://brainly.com/question/13491340
#SPJ11
expand and simplify (2x-3)(3x
+1)
Answer:
6x^2+2x-9x-3
=6x^2-7x-3
Help PLEASE!
Thank you!
Answer:
6x-3+7=-446x-3=-516x=-48x=-8Answer:
x=-8
Step-by-step explanation:
3(2x-1)+7=-44
3(2x)+3(-1)+7
6x-3+7=-44
6x-3+3+7
6x+7=-41
6x+7-7
6x=-48
6x/6=48/6
x=-8
Hope it helped!
Ellie has a collection of robots. For every 7 robots she made herself she bought 5 at the store. If Ellie made 35 robots, how many robots did she buy?
Answer: Ellie bought 25 robots.
Step-by-step explanation:
7=5
14=10
21=15
28=20
35=25
Help please :( !
Example :Martin mixes a cleaning spray that is 1 part vinegar to 5 parts water .
Answer:
1:5
5
125
2
Step-by-step explanation:
I'm not too sure how to explain this, if you have a question just ask
Choose the number of solutions for the equation.
9m – 3 – 5m = 3 + 4m – 6
A. Infinitely many solutions
B. Two solutions
C.Only one solution
D. No solutions
Answer:
A) Infinitely many solutionsStep-by-step explanation:
solved in the attachment!! HOPE IT HELPS YOU!!A relationship might exist in a sample even though it does not exist in the population, because of: a incorrect inference b.sampling error c. confounding variables d. idiosyncratic variance
A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error
In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.
Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.
For more questions like Sampling click the link below:
https://brainly.com/question/29974523
#SPJ11
determine the number of five-digit integers $(37abc)$ in base 10 such that each of the numbers $(37abc), (37bca)$ and $(37cab)$ is divisible by 37.
There is only one five-digit integer, 37000, that satisfies these conditions.
To determine the number of five-digit integers of the form 37abc that are divisible by 37, we need to consider the divisibility rule for 37. A number is divisible by 37 if and only if the difference between twice the units digit and the remaining part of the number is divisible by 37. In this case, since we have a five-digit integer of the form 37abc, we can write it as:
37abc = 37000 + 100a + 10b + c
Now, let's consider the three given numbers and analyze their divisibility by 37:
37abc:
For 37abc to be divisible by 37, we need the difference between twice the units digit (2c) and the remaining part (37ab) to be divisible by 37. Therefore, we have the congruence:
2c ≡ 37ab (mod 37)
Since 37 ≡ 0 (mod 37), we can simplify the congruence to:
2c ≡ 0 (mod 37)
This implies that c must be divisible by 37. Since c can take values from 0 to 9 (since it is a digit), we have only one possibility: c = 0.
37bca:
Similarly, for 37bca to be divisible by 37, we have the congruence:
2a ≡ 37bc (mod 37)
Again, simplifying the congruence using 37 ≡ 0 (mod 37), we get:
2a ≡ 0 (mod 37)
This implies that a must be divisible by 37. Since a can take values from 0 to 9, we have only one possibility: a = 0.
37cab:
For 37cab to be divisible by 37, we have the congruence:
2b ≡ 37ca (mod 37)
By using 37 ≡ 0 (mod 37), we can simplify the congruence to:
2b ≡ 0 (mod 37)
This implies that b must be divisible by 37. Again, b can take values from 0 to 9, giving us only one possibility: b = 0.
From the above analysis, we can conclude that the only five-digit integer of the form 37abc satisfying the given conditions is 37000. Therefore, there is only one such integer.
To know more about integer here
https://brainly.com/question/490943
#SPJ4
Complete Question:
Determine the number of five-digit integer 37abc in base 10 such that each of the numbers 37abc,37bca,37cab Is divisible by 37
PLEASE HELP ME!!! ASAP
(02.07)
A student writes an incorrect step while checking if the sum of the measures of the two remote interior
angles of triangle ABC below is equal to the measure of the exterior angle.