Point D is 1n of the way from C(−2.5, 1.25) to E(5, 15). What are the coordinates of D if n = 5?

Answers

Answer 1

Answer:

Coordinates of D are (-1, 4)

Step-by-step explanation:

I have assumed that what you wrote as 1n is actually 1/n otherwise the question does not make sense

1/n with n = 5 ==> that D is 1/5th of the distance from C on the CD line segment

Point D is 1/5th of the way from C to D

I will represent the (x, y) coordinates of points C, D and E as
\((x_C, y_C), (x_D, y_D) , (x_E, y_E)\) respectively

Then the x-distance from C to E = \(x_E - x_C\) and the y-distance from C to E will be \(y_E - y_C\)

\(\text{1/5th of }\) \(x_E - x_C = \dfrac{x_E - x_C}{5}\) but this is relative to the location of \(x_C\).
So we have to add this to \(x_C\) to get the absolute x-coordinate of D

So
\(\displaystyle \large x_{D}=x_{C}+\dfrac{x_{E}-x_{C}}{5}\)

and similarly

\({\displaystyle y_{D}=y_{C}+\dfrac{y_{E}-y_{C}}{5}}\)

Putting in the values for these coordinates we get

\(x_{D}=-2.5+\dfrac{5-(-2.5)}{5} \\\\= -2.5 + \dfrac{5 + 2.5}{5}\\\\\= -2.5 + \dfrac{7.5}{5}\\\\= - 2.5 + 1.5\\\\= -1.0\)

\(y_{D}=1.25+\dfrac{15-1.25)}{5} \\\\= 1.25+ \dfrac{15 - 1.25}{5}\\\\\ = 1.25+ \dfrac{13.75}{5}\\\\= 1.25+ 2.75\\\\= 4.0\)

So the coordinates of D are:

\(\boxed{D(-1, 4)}\)

The graph shows the point D is indeed 1/5th of the distance from C to D

Point D Is 1n Of The Way From C(2.5, 1.25) To E(5, 15). What Are The Coordinates Of D If N = 5?

Related Questions

A store has 2000 grocery bags to give away as part of its grand opening. The store is handing out 150 bags per hour. In how many hours will the store have 950 bags remaining? Write an equation that represents this scenario. Then solve.

Answers

Answer:

13.3 repeated

Step-by-step explanation:

You need to take 2000 and divide it by 15. Then your answer will come.

*13.3*

Answer:

7 hrs

Step-by-step explanation:

2000 grocery bags

Let x be the number of hours

If they're handing out 150 bags per hour, then 150x would be the amount given out in x hrs.

Since we want to get 950 bags left over a certain number of hrs, make this equation and solve:

950=2000-150x

150x=1050

x=7

Polygons in the coordinate

Polygons in the coordinate

Answers

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

How to know if it's a triangle

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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isnt this suppose to be 2/5?

isnt this suppose to be 2/5?

Answers

Answer:

Yes and no. 2/5 is the simplified form of 40/100. they are the same amount, so i would choose j

Step-by-step explanation:

Q 35- The difference between two positive numbers is 20 and their ratio is 3:2. Find the product of the two numbers? A-400 B-800 C-900 D-1600 ​

Answers

Answer: The product of the two numbers is 2400.

Step-by-step explanation: You multiply the numbers on the ratio with the difference first you multiply 2 with 20 then you multiply 3 with 20.

two draws are made at random without replacement from a box containing the following five tickets: golden ticket with a one printed on it. golden ticket with a two printed on it. golden ticket with a three printed on it. golden ticket with a 4 printed on it. golden ticket with a three printed on it. what is the probability that the sum of the tickets is 5? enter you answer as a percentage. the probability is

Answers

The probability to draw tickets with a sum of 5 is 30%.

According to the question, there are 5 tickets with 1, 2, and 4 printed on one ticket each, while there are 2 tickets with the number 3 printed on them.

We need to find the probability of drawing 2 tickets with a sum of 5 out.

Probability = no of possibilities for an event/total no. of possibilities

From these 5 tickets, 2 tickets at random can be drawn in

⁵C₂ ways.

= 5 X 4

= 20 ways.

Now the possible combinations to draw a sum of 5 is

(1,4) , (2,3) , (2,3) , (3,2) , (3,2) , (4,1)

=  6 ways

Here there are 2 tickets with 3 printed on them so events concerning 3 will be repeated in the sample space.

Hence, the probability to draw 2 tickets with a sum of 5 is

6/20

= 3/10

= 30%

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Estimate the answer to:​

Estimate the answer to:

Answers

Answer:

a.  3.76b.  13,102.974

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

NEED HELP IM GIVIN BRAINLIEST AGAIN!!
Richard purchased a new cell phone that was 45% off the regular price of $70.00. If an 8% sales tax was added to the cost of the cell phone, what was the total price that Richard paid for the cell phone? (Round to the nearest cent)

Answers

Answer: 41.58$

Step-by-step explanation:

the length of a rectangle is 3 feet less than twice its width. if the perimeter is 24 feet what is the length of the rectangle?

Answers

Let us consider the breadth(B) of the rectangle to be x.

So now,

Length of Rectangle(L) = 2x-3

Perimeter of Rectangle = 2 (Length + Breadth) = 2(L+B)

So according to the question,

Perimeter = 2(L+B) = 24 feet

                     L + B   = 12 feet

                     2x - 3 + x = 12 feet

                     3x - 3 = 12 feet

                        3x = 12+3

                         x = 15/3

                          x = 5 feet = Breadth

So ,                   Length = 2x - 3 = 2x5 - 3 = 10 - 3 = 7 feet

Hence the length of the Rectangle is 7 feet.

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jane spends $5 on buying lipsticks and $7 on buying school supplies. if jane spends $56 on buying school supplies , how much will she spend on lipsticks

Answers

Answer:

$5

Step-by-step explanation:

it litterly says jane spends $5 on buying lipsticks lol

bruce, a store owner, would like to determine if a new advertising initiative has increased the proportion of sales he makes to women is more than 75%. to test this, he gathers information on 150 random sales and finds that 120 of those sales were made to women. the following is the setup for this hypothesis test: h0:p

Answers

The null hypothesis (H0) states that the proportion of sales made to women is 75% or less.

What is the null hypothesis in Bruce's advertising initiative study?

The null hypothesis (H0) states that the proportion of sales made to women is 75% or less. The alternative hypothesis (H1) suggests that the proportion is greater than 75%.

Bruce collected data on 150 random sales, and out of those, 120 were made to women. To test his hypothesis, Bruce can conduct a proportion test using statistical methods such as the z-test or chi-square test.

By analyzing the test results, he can determine if there is sufficient evidence to reject the null hypothesis and conclude that the advertising initiative has increased the proportion of sales made to women beyond 75%.

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What’s the length of x? Pls show working.

Whats the length of x? Pls show working.

Answers

Answer:

\(x = 32.637075718 cm^2\)

Step-by-step explanation:

\(cos(40\textdegree) = \frac{25}{x}\\\\x = 25/cos(40\textdegree)\\x = 32.637075718 cm^2\)

which of the following values of r represents the strongest relationship? select one: a. -1.00 b. 0 c. 0.50 and. 0.75

Answers

Among the following values of r, 0.75 represents the strongest relationship. So, the correct option is D.

The value of r represents the strength of the correlation between two variables. The value of r ranges between -1 and 1, where a value of -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.

Therefore, among the given options, the value of 0.75 represents the strongest relationship. A value of 0.75 indicates a strong positive correlation between the two variables, meaning that as one variable increases, the other variable also tends to increase.

A correlation of this strength is often considered a strong relationship in many fields, such as psychology, economics, and engineering.

In contrast, a correlation of 0.50 indicates a moderate positive correlation, while a correlation of 0 indicates no correlation between the variables. A correlation of -1 indicates a perfect negative correlation, where the variables move in opposite directions.

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Which segment is half the diameter?
A. CD
B.CB
C.CB
D.CA

Which segment is half the diameter?A. CDB.CBC.CBD.CA

Answers

Answer: D

Step-by-step explanation:

I am guessing but sorry if I am wrong

the answer is D , CA

Vertical/Adjacent/Complementary Angles (Algebraic)
Solve for the value of p.
(7-8)
(3p+8)


Aye please help

Answers

Answer:

-3 p - 8

Step-by-step explanation

-3 p - 8

Plot:

Plot

Geometric figure:

line

Root:

p = -8/3

Derivative:

d/dp((7 - 8) (3 p + 8)) = -3

Indefinite integral:

integral(-8 - 3 p) dp = -(3 p^2)/2 - 8 p + constant

4 divided by 2/9 in fraction form( whoever sees this I hope you have a wonderful day! )

Answers

36/2. Sklshsjsmsbsjsbsb

Answer:

4x9/2

4x9/2

36/2

18

UwU

18 is your answer

Which of the following is an integer?
10.5
-9
XandY
1/2

Answers

Answer:

-9

Step-by-step explanation:

an integer is a whole number!

Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement Number of Measurement Estimated Digit Significant Figures 14.8 m 3 ✓ Choo *4.8 Txa 14. $10.25 Choose... 0.05 L Choose 1.000 g/ml Choose.. 6200 cm Choose... 403 kg Choose Figures 14.8 m 3 Choose... $10.25 ✓ Choose... 10.35 10,2% 1x.25 NO.25 0.05L Choose. 1.000 g/ml Choose 6200 cm Choose. Choose.. 403 kg place of the estimated digit from the measurement. Number of Measurement Estimated Digit Significant Figures 14.8 m 3 Choose... $10.25 Choose... II 0.05 L ✓ Choose.. 0.x5 x.05 0.0x 1.000 g/mL Choose... 6200 cm Choose... 403 kg Choose... Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement. Number of Measurement Estimated Digit Significant Figures 14.8 m Choose... 3 $10.25 Choose... 0.05 L Choose... 1.000 g/mL Choose 1.00 1.0x0 X.000 1.200 Choose... 6200 cm Choose.. 403 kg Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement. Number of Measurement Estimated Digit Significant Figures 14.8 m Choose... 3 $10.25 Choose... Choose... 0.05 L Choose... 1.000 g/ml 6200 cm ✓ COD Bx00 x200 620x 6220 Choose 403 kg Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement Number of Measurement Estimated Digit Significant Figures Choose... 14.8 m 3 $10.25 Choose... Choose... 0.05 L 1.000 g/mL Choose.. Choose... 6200 cm 403 kg ✓ Choose XO3 40% 4x3

Answers

The table shows the estimated digit and significant figures of each measurement and their representation with x.

Number of Measurement Estimated Digit Significant Figures

14.8 m 3 ✓

$10.25 - ✓

0.05 L - ✓

1.000 g/mL - ✓

1.200 - ✓

6200 cm - ✓

403 kg - ✓

For each measurement, the estimated digit is replaced with an x to represent the number with the correct number of significant figures. The correct representations for each measurement are:

14.8 m: 15.0 m$10.25: $10.30.05 L: 0.050 L1.000 g/mL: 1.00 g/mL1.200: 1.206200 cm: 6200 cm403 kg: 400 kg

Note that in some cases, the representation requires adding zeros to the right of the decimal point to indicate the number of significant figures. In other cases, the representation requires rounding up or down to the correct number of significant figures.

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Simplify;
(√3 + √2) (√3 + √2)

Answers

Answer:

5 + 2√6 or 9.898979

Step-by-step explanation:

(√3 + √2) (√3 + √2)

= 5 + 2√6

decimal = 9.898979

Answer:

I’ll put a picture because I can’t like write down the answer…. So yeah.

Step-by-step explanation:

1) expand expression: (sqrt3 + sqrt2)^2

Then calculate: 3 + 2sqrt6 + 2

Andddd: 5 + 2sqrt6

* sqrt: square root

I hope this helps! Good luck :)

Simplify; (3 + 2) (3 + 2)

can someone help pls​

can someone help pls

Answers

The radius of the ball, to the nearest hundredth, is approximately 10.63 cm.

To find the radius of the spherical ball, we'll use the formula for the surface area of a sphere, which is given by:

Surface Area = 4πr²

Given that the surface area of the ball is 452 cm², we can set up the equation:

452 = 4πr²

Dividing both sides of the equation by 4π, we get:

113 = r²

Taking the square root of both sides, we find:

r ≈ √113

Evaluating √113 to the nearest hundredth, we have:

r ≈ 10.63 cm

Therefore, the radius of the ball, to the nearest hundredth, is approximately 10.63 cm.

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Anna is reading a 360 page book. She reads the first 60 pages in 5 days.

Answers

If Anna is reading a book that 360 pages and have only read 60 pages In the last 5 days then she has 300 pages left to read.

what are all the values of c that will make x^2 cx 121 a perfect square ?

Answers

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Is 268 +37 less then 346 make a conjecture. Construct an argument to prove your conjecture. ​

Answers

268 +37 less than 346 makes a conjecture.  an argument to prove your conjecture is been made below using the  phrase  f A is less than B, and B is less than C, then A is less than C

My conjecture that 268 + 37 is less than 346. To prove this conjecture, I will use the mathematical phrase "If A is less than B, and B is less than C, then A is less than C". From this statement, we can see that if A is 268 and B is 37, we can say that 268 is less than 305 (268 + 37). We can also see that 305 is less than 346, so we can conclude that 268 + 37 is less than 346. To summarize, by using the mathematical phrase "If A is less than B, and B is less than C, then A is less than C", I have proven my conjecture that 268 + 37 is less than 346.

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A function g models a relationship in which the dependent variable is multiplied by 9

for every 2 units the independent variable increases. The value of the function at 0 is 2.

Which equation represents g?

Answers

The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is \(g(x)= 2 \times3^x\),and the function has a value of 2 at 0

Let x be the independent variable, and let g(x) be the dependent variable.

According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:

 \(g(x)= a \times b^x\)

where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).

We are given that g(0) = 2, so we can plug in these values and solve for a:

 \(g(0)= a \times b^0\)

a = 2

So now we have:

\(g(x)= 2 \times b^x\)

We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:

\(g(x+2) = 9 \times g(x)\)

Using our equation for g(x), we can substitute in and simplify:

  \(2 \times b(x+2) = 9 \times 2\times b^x\)

Simplifying, we get:

\(b^2\) = 9

Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:

b = 3

So the final equation for g(x) is:

\(g(x) = 2 \times 3^x\)

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the population of a community is known to increase at a rate proportional to the number of people present at time t. if an initial population p0 has doubled in 9 years, how long will it take to triple?

Answers

Since the population increases at a rate proportional to the current number of people, the population will be three times of its initial population after 14.27 years.

The population of a community increases at a rate proportional to the number of people present at time t, means:

dP/dt = kP

where k is a constant.

Rearrange it:

(1/P) dP = k dt

Take the integral:

∫ (1/P) dP = ∫ k dt

ln P = kt + C, where C is a constant

Substitute t = 0, from the problem, it is known that P(t = 0) = P₀

Hence,

P(t) = P₀. e^(kt)

The population doubles after 9 years, means if we substitute t = 9

P(9) = P₀. e^(9k)

2P₀ = P₀. e^(9k)

2 = e^(9k)

Take the natural logarithmic:

ln 2 = 9k

k = (ln 2)/9 = 0.077

When the population grows to triple, it means P(t) = 3P₀

3P₀ = P₀. e^(kt)

ln 3 = kt

ln 3 = 0.077 t

t = (ln 3)/0.077 = 14.27 years.

Hence, the population will be three times of its initial population after 14.27 years.

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If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\angle EBFm ∠ E B F. LaTeX: m\angle EBF=m ∠ E B F = [measure]LaTeX: ^\circ

Answers

Answer:

2(3s-14)

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

Hence the measure of angle ∠EBF is 2(3s-14)

Consider a large hospital that wants to estimate the average length of stay of its patients. The hospital randomly samples n = 100 of its patients and finds that the sample mean length of stay is 4.5 days. Assume that the standard deviation of the length of stay for all hospital patients is 4 days. Find a 95% confident interval for true mean length of all hospital patients. O (3.84.5.16) O (3.72,5.28)

Answers

The 95% confident interval for the true mean length of stay of all hospital patients is (3.716, 5.284) days.

To find a 95% confident interval for the true mean length of stay of all hospital patients, we can use the formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as the product of the critical value and the standard error, where the critical value is determined based on the desired confidence level and the standard error is the standard deviation divided by the square root of the sample size.

Given:

Sample mean  = 4.5 days

Standard deviation (σ) = 4 days

Sample size (n) = 100

Confidence level = 95%

First, let's calculate the critical value. Since the sample size is large (n > 30), we can use the Z-table to find the critical value for a 95% confidence level. The critical value corresponds to a 2-tailed test, so we need to find the value that leaves 2.5% in each tail.

Looking up the Z-table, the critical value for a 95% confidence level is approximately 1.96.

Next, let's calculate the standard error:

Standard error (SE) = σ / sqrt(n)

SE = 4 / sqrt(100)

SE = 4 / 10

SE = 0.4

Now, we can calculate the margin of error:

Margin of error = critical value * standard error

Margin of error = 1.96 * 0.4

Margin of error = 0.784

Finally, we can construct the confidence interval:

Confidence interval = sample mean ± margin of error

Confidence interval = 4.5 ± 0.784

Confidence interval = (3.716, 5.284)

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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9

Answers

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Ms. Grant saved $80 per month for 2 1/2 years while working part-time at a grocery store. She donated 20% of her savings to a charity. How much of her total savings did Ms. Grant have left aftet making a donation?

A. $480

B. $1,920

C. $2,400

D. $2,880​

Answers

Answer:

B) 1920

Step-by-step explanation:

20%= in decimal form .2

2400 x .2= 480

2400-480= 1920

How are the properties of exponents used when dividing a polynomial by a monomial?

Answers

Answer:

a couple different obes

Step-by-step explanation:

there are five

look at this set of 8 numbers: 24557685 by how much would the range increase if the number 1 replaced the number 4 in the set?

Answers

To calculate the increase in range when the number 1 replaces the number 4 in the set {2, 4, 5, 5, 7, 6, 8, 5}, we need to first find the range of the original set and then find the range of the modified set.

The range of a set of numbers is the difference between the maximum and minimum values in the set.

Original set: {2, 4, 5, 5, 7, 6, 8, 5}

Maximum value: 8

Minimum value: 2

Range of the original set: 8 - 2 = 6

Modified set (with 1 replacing 4): {2, 1, 5, 5, 7, 6, 8, 5}

Maximum value: 8

Minimum value: 1

Range of the modified set: 8 - 1 = 7

Therefore, the range increases by 7 - 6 = 1 when the number 1 replaces the number 4 in the set.

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