Mathematics College

What’s the correct answer for this?

Answers

Answer 1

Answer:

x = 12

Step-by-step explanation:

Since they are equidistant from the centre, they are equal in length i.e.

JK = LM

4x+37 = 5(x+5)

4x+37 = 5x+25

37-25 = 5x-4x

12 = x

x = 12

Answer 2

12=x because it shows how to write it

Related Questions

Sam and Joe are painters. Sam makes $2 an hour less than Joe. On a job that took them both 40 hours to complete they made $440. How much does Sam make an hour?

Answers

Answer:

$4.50

Step-by-step explanation:

If they earned $440 in 40 hours

This means they earned 440÷40=11 in one hour

Sam makes x-2 amount of money per hour so the difference between Sam's and Joe's salary is $2

Find two numbers that add up to Ten and can subtract to make a difference of 2 (I am starting with ten as it is easier) 6+4=10 6-4=2

So to make 6 and. 4 add to make a 11 we need to add a 0.5 to each of them so 6.5+4.5=11 and 6.5-4.5= $2.

Therefore Joe makes $6.50 an hour and Sam makes £4.50

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

1. Reason = Angles forming a linear pair sum to 180

2. Step = m<QTR+ m<RTS = 180

3. reason = transitive property of equality

4. step = m<PTQ = m<RTS. reason = subtraction property of equality

Consider the differential equation y '' − 2y ' + 5y = 0; ex cos(2x), ex sin(2x), (−[infinity], [infinity]). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(ex cos(2x), ex sin(2x)

Answers

Answer:

Step-by-step explanation:

Characteristic equation:

[tex]\lambda^2-2\lambda + 5 =0[/tex]

[tex]\lambda = 1\pm2i[/tex]

The solution of the ODE is

[tex]y = e^x(C_1 cos(2x) + C_2 sin(2x) )[/tex]

Now, very find by taking the first and the second derivative of y.

[tex]y' = e^x(-2 C_1 sin (2x) +2C_2 cos (2x)) +e^x (C_1 cos (2x) + C_2sin(2x))[/tex]

[tex]=-2e^xC_1 sin(2x) +2e^xC_2 cos (2x)+C_1e^xcos(2x) + C_2e^x sin(2x)[/tex]

[tex]y" = -2e^x C_1 sin(2x) -4e^x C_1cos(2x)+2e^xC_2cos(2x)-4e^xC_2sin(2x) +C_1e^x cos(2x) -2C_1e^xsin(2x)+C_2e^x sin(2x) +2C_2e^x cos(2x)[/tex]

[tex]=-4C_1e^xsin(2x) -3C_1e^x cos(2x) +4C_2e^xcos(2x) -3C_2e^xsin(2x)[/tex]

Now, put all in y" -2y'+5y and consider if it = 0 or not.

Mr. Corbin measures the lengths of three branches. The first branch
is 2/3 foot long. The second branch is 2/2 foot long. The third branch is 2/8
foot long. Which list orders the fractions from greatest to least? *

Answers

Answer:

2nd branch > 1st branch > 3rd branch

[tex]\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}[/tex]

Step-by-step explanation:

Length of First branch = [tex]\frac{2}{3}[/tex] foot

Length of second branch = [tex]\frac{2}{2}[/tex] foot

Length of third branch = [tex]\frac{2}{8}[/tex] foot

Let us convert the fractions in decimal forms:

[tex]1.\ \dfrac{2}{3} = 0.67[/tex]

[tex]2. \dfrac{2}{2} = 1[/tex]

[tex]3.\ \dfrac{2}{8} = \dfrac{1}{4}=0.25[/tex]

It can be clearly seen that 1 is the largest value among the three values.

So, 2nd branch is the largest.

Now, let us have a look at the values of first and third branches:

0.67 and 0.25.

Clearly, 0.67 is greater than 0.25.

So, the correct order is:

2nd branch > 1st branch > 3rd branch

We can use other method to see it.

Here, all the 3 fractions have same numerator.

So, denominator can help us decide the which fraction has a large value.

If numerator is same, the larger denominator will have smaller fractions.

The denominators are 2, 3 and 8.

8 > 3 > 2

So, the answer is

2nd branch > 1st branch > 3rd branch

[tex]\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}[/tex]

can someone please help me!

Answers

Answer:

Step-by-step explanation:

Let's derive the equations for the two graphs;

For the graph towards the right,

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(-7,0) and (-4,-3)

Slope = -3-0/ -4-(-7) = -3/ 3 = -1

From the general equation of a line

y = mx + c = -1× x + c = -x + c

Since c is not obvious we can find the equation by picking just a point along the graph along side an arbitrary (x,y) point hence we have for slope;

If we pick (-7,0)

y-0 / x-(-7) = -1

y / x+7 = -1

y = -x -7

The equations of the graphed lines are;

y=x-1

y=-x-7

Look at option D you we see it's the same as the equation of the graph towards the right y=x-1

For the records

y=[x+3]-4 = x+3-4 = x-1

what is the measure of p?
A.39
B.56
c.

C.29
D.97

Answers

Answer:

The correct answer is c. 29

Step-by-step explanation:

Hope it works out , brainliest appreciated !!

lee and maya are collecting leaves for an art project. lee collects 24-100 of the total leaves needed. maya collects 4-10 of the total leaves needed. What fraction of the total number leaves did they collect altogether

Answers

Answer:

1/8 but idk im not good with math

Step-by-step explanation:

Answer:

16-25

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

24 2

——— + —

100 5

Step 2 :

Simplify ——

Equation at the end of step 2 :

6 2

—— + —

25 5

una persona cobra 7/4 de una cantidad, gasta 1/4 y presta 1/8 ¿Que fraccion de la cantidad cobrada le quedo?

Answers

Answer: (11/8)

Step-by-step explanation:

I will answer this in English.

a person collects 7/4 of an amount, spends 1/4 and lends 1/8. What fraction of the amount collected is left?

If the amount is A, then he collects:

C = (7/4)*A

Now, he spends 1/4 and lends 1/8 of the amount A, so the fraction left is:

Left = (7/4)*A - (1/4)*A - (1/8)*A

now i will write 7/4 as 14/8 and 1/4 as 2/8.

left = (14/8)*A - (2/8)*A - (1/8)*A = ((14 - 2 - 1)/8)*A = (11/8)*A

The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours before or after noon. For example, -1 would represent 11 a.m. The y-axis represents the temperature in degrees Celsius. At 5 p.m.5, start text, space, p, point, m, point, end text, the temperature is halfway between the temperature at 2 \text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text and the temperature at 8 \text{ p.m.}8 p.m.8, start text, space, p, point, m, point, end text What coordinates represent the temperature at 5pm?

Answers

Question:

What coordinates represent the temperature at 5 p.m.?

Answer:

(5, 2)

=> At 5pm, the temperature is at 2⁰C

Step-by-step Explanation:

Coordinates of any point on a cartesian/coordinate plane is represented by (x, y). Where x is the number at the point on z-axis, while y is the number at the same point on the y-axis.

From the diagram of the coordinate plane attached below, we can simply find out what coordinates represent the temperature at 5pm.

==> Given that the temperature at 5pm is half way between the temperature at 2pm (y=7) and temperature at 8pm (y=-3), the point that is being referred to = [7+(-3)] ÷ 2 = ⁴/2 = 2 (i.e. 2 on the y axis representing temperature)

*The position of the point is indicated in the second picture that is attached below.

At that position of the point, we have 2 as the coordinate for the y axis representing temperature, and at that same position, we have 5 on the x-axis representing the number of hours.

Therefore, coordinates of the point (x, y) representing 5p.m = (5, 2)

==> At 5pm, the temperature is at 2⁰C

Answer:

Look above for a good answer!

Step-by-step explanation:

The coordinates are 5,2

An urn contains 5 are red balls and 6 blue balls. Suppose 5 are randomly selected without replacement. What is the probability that exactly 3 are red? Answer correct to four decimal places.

Answers

Answer:

27.94%

Step-by-step explanation:

The statement tells us that we have 5 red balls and 6 blue balls, that is, there are 11 in total (5 + 6)

So the probability of red balls = 5/11 and blue balls probability = 6/11

Let X be the number of red balls of those 5 selected balls.

Then X follows a binomial distribution with the following parameters:

n = 5

p = 5/11

q = 6/11

P (X) = nCx * p ^ (x) * q ^ (n -x)

required probability is P (X = 3), replacing:

P (X = 3) = 5C3 * (5/11) ^ (3) * (6/11) ^ (5 -3)

P (X = 3) = 5! / (3! (5-3)!) * 0.02794

P (X = 3) = 10 * 0.02794

P (X = 3) = 0.2794

Which means that the probability is 27.94%

An item is regularly priced at $80. Chau bought it on sale for 15% off the regular price. How much did Chau pay?

Answers

15% of $80 = 15*80/100 = $12
$80 - $12 = $68
Chau pay $68

only $68...steps.... (80*15% =12 /80-12=68

Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 370 minutes and the cost was $133.00. In July she used 530 minutes and the cost was $181.00.

A) Express the monthly cost C
C
in terms of x
x
, the number of minutes of calling time she used.
Answer: c

B) If Jane used 477 minutes of calling time in August, how much was her bill?
Answer: $

Answers

Answer:

C = 0.30x +22$165.10

Step-by-step explanation:

A) Let x represent minutes used, and C represent monthly charge. We are given two (x, C) pairs: (370, 133.00) and (530, 181.00)

We can use these in the 2-point form of the equation for a line.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

C = (181 -133)/(530 -370)(x -370) +133

C = 48/160(x -370) +133

C = 0.30x -111 +133

C = 0.30x +22

B) For x = 477 minutes, the charge will be ...

C = 0.30(477) +22 = $165.10 . . . . for 477 minutes

The monthly cost C = $22 + $0.30x

Jane's bill for August is $165.10

The total amount Jane pays is the sum of the monthly fee and the charge per minute.

Total amount = monthly fee + charge per minute

Two equations can be derived from the question

a + 370b = 133 equation 1

a + 530b = 181 equation 2

Where:

a = monthly fee

b = charge per minute

This equation would be solved using simultaneous equation

Subtract equation 1 from equation 2

160b = 48

Divide both sides of the equation by 160

b = 48 / 160

b = 0.30

Substitute for b in equation 1

a + 370(0.30) = 133

a + 111 = 133

a = 133 - 111

a = 22

Based on the above calculations, the monthly fee is $22 and the charge per minute is $0.30

Equation for monthly cost = $22 + $0.30x

If Jane used 477 minutes, total charge :

$22 + $0.30(477) =

22 + 143.10

= $165.10

A similar question was solved here: https://brainly.com/question/17911105?referrer=searchResults

Dr. Dormeur studies sleep and sleep disorders. She is curious as to whether technology exposure before bedtime causes people to fall asleep more slowly. She recruits a sample of 60 middle-aged women from a local church who reported no history of sleep problems. She creates three conditions, and randomly assigns participants to one condition. All participants come to the sleep lab for two nights in a row, the first night with no treatment, the second night with treatment. In the first condition (A), participants were asked to play an online game (Candy Crush) on an iPad for 10 minutes prior to going to bed. In the second condition (B), participants were asked to read an article using an iPad that discussed tricks and tips for improving oneâ€™s score on Candy Crush (which took about 10 minutes). In the third condition (C), participants were asked to read a newspaper article about the inventor of Candy Crush (which took about 10 minutes). With the use of an electroencephalograph (EEG), the researcher measures how long it takes participants to fall asleep. Which of the following designs is Dr. Dormeur using?

a. one-way between-subjects ANOVA.b. chi-square test.c. simple linear regression.d. repeated-measures t-test.

Answers

Answer:

Dr Domeur is using repeated measures t-test

Step-by-step explanation:

Dr Dormeur is using the repeated measures t test also known as within-subjects design because the design is between participants. Repeated Measures assesses the change in a continuous outcome across time or within-subject.

Dr Domeur makes measurements using only one group of subjects, and the tests on each subject can be repeated more than once after different treatments. From the question, the researcher Dr Domeur uses the same subjects with every condition of the research and the control. Repeated measures are collected in a longitudinal study that assesses change over time.

A juggler perform in a telant contest. He is given 10 marks by each of the 4 judges. What’s his total score?

Answers

Answer:

Step-by-step explanation:

The answer is 40. There are 4 judges, and each gave him a 10. This can be shown by an equation.

1. 4 * 10 = total score

2. 40 = total score.

Hope this helps! (Please consider giving brainliest)

Answer:

40 marks

Step-by-step explanation:

Since each judge gives him 10 marks each, then we get:

10 marks × 4 judges = 40 marks

His total score is 40 marks.

The degree of the polynomial f (x) is 3, and the degree of the polynomial g(x) is 4. Find the degree of the polynomial f (x) + g(x).

Answers

Answer:

The degree would be 4

Step-by-step explanation:

When you add polynomials without multiplying bases, you cannot add or subtract the degree. So the highest degree would be 4 in this case.

A car is traveling 80 KM in an hour how many minutes will it take to go from Miami to key largo

Answers

84.5 minutes reeeeeee

The car will take 84 minutes to go from Miami to Key Largo.

Given that, speed=80 km/hour and distance = 70 miles.

What is the speed of a object?

Speed is the rate at which an object's position changes, measured in meters per second. The equation for speed is simple: distance divided by time.

Now, convert miles to kilometres. We know that 1 mile=1.6 kilometre.

That is 70 miles =70×1.6 =112 km

Then, Time=Distance/Speed

⇒Time =112/80=1.4 hours

So, 1.4 hours=60×1.4=84 minutes

Therefore, the car will take 84 minutes to go from Miami to Key Largo.

To learn more about the speed visit:

https://brainly.com/question/7359669.

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Your question is incomplete, probably the complete question/missing part is:

A car is travelling 80 KM in an hour how many minutes will it take to go from Miami to key largo? (70 miles)

A cup of coffee is cooling down such that its temperature is decreasing at a constant rate of 8% per minute. Let’s say the coffee starts at a temperature of 200 degrees Fahrenheit.

What’s its temperature after one minute by finding 8% of 200 and then subtracting?

Answers

Answer:

Temperature after 1 minute = 184 ° F

Step-by-step explanation:

starting temperature = 200 °F

rate of decrease = 8% per minute

Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F

It therefore means that after 1 minute, the cup of coffee loses 16 °F,

∴ Temperature after 1 minute = (starting temperature) - (lost temperature)

= 200 - 16 = 184 °F

Can you divide 81 into 4 parts so that if you add 2 to the 1st part, subtract 2 from the 2nd part, multiply the 3rd part by 2, and divide the 4th part by 2, the answer in each case will be the same

Answers

Answer:

Yes I believe the answer will be the same.

Step-by-step explanation:

Several employees have submitted different methods of assembling a subassembly. Sample data for each method are: Minutes Required for Assembly Sample Number Lind's Method Szabo's Method Carl's Method Manley's Method 1 16.6 22.4 31.4 18.4 2 17.0 21.5 33.4 19.6 3 16.9 22.6 30.1 17.6 How many treatments are there?

Answers

Answer:

There are 4 treatments

Step-by-step explanation:

In this study, there are four treatments. Each sample from 1 to 3 was subjected to each treatments which in this case are the methods; Lind's Method, Szabo's Method, Carl's Method and Manley's Method.

Thus, the methods in this study are the treatments the samples are subjected to.

g(x) = x-6
Domain of g:

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain is just what values of x you can plug in as an input. In this case, you can plug in any number, as the graph is just a line that has no restrictions. An example of a case where the domain isnt just any number would be g(x) = 5/x, because in that case, x couldn't be 0 because you cant divide by zero.

Answer: all real numbers

Step-by-step explanation:

n a survey of 331 customers, 66 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

Answers

Answer:

3.93% probability that both say service is poor

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The customers are chosen without replacement, and the order in which they are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability that both say service is poor?

Desired outcomes:

Two saying it is poor, from a set of 66. So

[tex]D = C_{66,2} = \frac{66!}{2!(66-2)!} = 2145[/tex]

Total outcomes:

Two customers from a set of 331. So

[tex]T = C_{331,2} = \frac{331!}{2!(331-2)!} = 54615[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{2145}{54615} = 0.0393[/tex]

3.93% probability that both say service is poor

There are 13 comma 17913,179 eligible voters in one town. In a poll of 834834 eligible voters from this town, the proportion who say that they plan to vote in the next mayoral election is 0.470.47. Based on that sample statistic, what is the best estimate of the proportion for all eligible voters in the town? Round to two decimal places as needed.

Answers

Answer:

The best estimate of the proportion for all eligible voters in the town, that is, the best estimate for the population, is 0.47.

Step-by-step explanation:

Since the sample is large enough, the proportion from the sample is the best estimate for the proportion of the population.

In this question, we have that:

For the sample, the proportion who say that they plan to vote in the next mayoral election is 0.47

So the best estimate of the proportion for all eligible voters in the town, that is, the best estimate for the population, is 0.47.

A loan company charges $30 interest
for a one month loan of $500. Find the annual interest they are charging

Answers

Answer:

0.72%

Step-by-step explanation:

Finding what percentage is $30 of $500:

30/500 x 100 = 6

So, it is 5% per month.

Converting it to annual:

6% x 12 = 0.72%

The annual interest they are charging is $360.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money.

Now it is given that,

Amount of interest charged = $30

Amount of loan = $500

Duration = 1 month

Now since 1 year = 12 month

Thus, Amount of interest charged in 1 year = 12 * $30

⇒ Amount of interest charged in 1 year = $360

this is the amount they are charging annually.

Thus, the annual interest they are charging is $360.

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A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 55% C: Scores below the top 45% and above the bottom 23% D: Scores below the top 77% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 76 and a standard deviation of 7.9. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

The minimum score required for an A grade is 85.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 76, \sigma = 7.9[/tex]

Find the minimum score required for an A grade.

The top 13% of the scores are A, so the minimum is the 100-13 = 87th percentile, which is X when Z has a pvalue of 0.87. So X when Z = 1.127.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.127 = \frac{X - 76}{7.9}[/tex]

[tex]X - 76 = 7.9*1.127[/tex]

[tex]X = 84.9[/tex]

Rounding to the nearest whole number:

The minimum score required for an A grade is 85.

What is a plane in mathematical terms

Answers

Answer:

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely far.

2 Points

Suppose you buy 6 buckets of apples and 4 buckets of peaches for $42. If

you bought 8 buckets of apples and 2 buckets of peaches, you would have

spent $36. How much is one bucket of apples (a), and one bucket of peaches

(p)?

A. a = $3, p = $6

B. a = $8, p = $2

C. a = $6, p = $4

D. a = $6, p = $3

SUBMIT

Answers

Answer:

A. a = $3, p = $6

Step-by-step explanation:

Let the cost of a bucket of apple=a

Let the cost of a bucket of peaches=p

6 buckets of apples and 4 buckets of peaches costs $42.

6a+4p=42

8 buckets of apples and 2 buckets of peaches costs $36.

8a+2p=36 (Multiply by 2 to make the coefficient of p 4)16a+4p=72

We solve the two resulting equations simultaneously

6a+4p=42

16a+4p=72

Subtract

-10a=-30

Divide both sides by -10

a=$3

Next, we substitute a=$3 in any of the equation to solve for p

6a+4p=42

6(3)+4p=42

4p=42-6(3)

4p=42-18

4p=24

Divide both sides by 4

p=$6

Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.

can some work out 1/(2x10^5)+(5x10^4)

Answers

Answer;
50000.000005

Explanation;
1
————- + (5 x 10^4) =
2 x 10^5.

10000000001
————————
200000

Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
a. Researchers want to test if more than a quarter of all North American adults have hypertension (that is to say more than 25% proportion of North American adults). State the null and alternative hypothesis in proper notation.
b. Create a 95% confidence interval for the true proportion of adult North Americans that have hypertension. Interpret this interval in context of the study.c. Say your 95% confidence interval is (0.329 , 0.361). Can you say with a high degree of confidence that more than a quarter of all North Americans have hypertension. Explain in a sentence or two.
d. If we were to decrease our level of confidence, what would we expect to happen to the confidence interval? Get wider/ get narrower/ stay the same ?

Answers

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

H0 : p ≥ 0.25

For the alternative hypothesis,

H1 : p < 0.25

b) from the given information,the sample proportion or point estimate for the population proportion is

1219/3532 = 0.35

Confidence interval = sample proportion ± margin of error

Margin of error = z × √pq/n

p = 0.35

q = 1 - 0.35 = 0.65

z score for 95% confidence level is 1.96

Margin of error = 1.96 × √(0.35 × 0.65)/3532 = 0.016

Confidence interval = 0.35 ± 0.016

c) Given that the 95% confidence interval is (0.329 , 0.361), it means that the lower limit of the confidence interval is 0.329 and the upper limit is 0.361

If more than a quarter of all North Americans have hypertension. It means that the true proportion can be within this interval. 95% confidence interval is a high degree of confidence. Therefore, we can say that with a high degree of confidence that more than a quarter of all North Americans have hypertension.