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
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.
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
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 triangleFind 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.
Learn more about triangle on
https://brainly.com/question/17335144
#SPJ1
isnt this suppose to be 2/5?
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
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
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%
To learn more about probability visit
https://brainly.com/question/29251004
#SPJ4
Estimate the answer to:
Answer:
a. 3.76b. 13,102.974Step-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 $70.00. If an 8% sales tax was added to the cost of the cell phone, what was the total price that Richard paid for the cell phone? (Round to the nearest cent)
Answer: 41.58$
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?
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.
For more information on Perimeter of Rectangle refer to this:
https://brainly.com/question/24571594
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
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
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%.
Learn more about null hypothesis
brainly.com/question/30535681
#SPJ11
What’s the length of x? Pls show working.
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
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.
To learn more about relationship click on,
https://brainly.com/question/29460656
#SPJ4
Which segment is half the diameter?
A. CD
B.CB
C.CB
D.CA
Answer: D
Step-by-step explanation:
I am guessing but sorry if I am wrong
Vertical/Adjacent/Complementary Angles (Algebraic)
Solve for the value of p.
(7-8)
(3p+8)
Aye please help
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! )
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
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
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 kgNote 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.
Learn more about decimal :
https://brainly.com/question/29765582
#SPJ4
Simplify;
(√3 + √2) (√3 + √2)
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 :)
can someone help pls
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.
To learn more about the surface area of the sphere;
https://brainly.com/question/14692728
#SPJ1
Anna is reading a 360 page book. She reads the first 60 pages in 5 days.
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 ?
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.
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.
To know more about conjecture refer to the link brainly.com/question/24881803
#SPJ4
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?
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:
\(g(x) = 2 \times 3^x\)
For more such questions on variable
https://brainly.com/question/25223322
#SPJ4
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?
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.
Learn more about growth rate here:
https://brainly.com/question/26045900
#SPJ4
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
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)
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)
Know more about 95% confident interval here:
https://brainly.com/question/15683202
#SPJ11
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
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
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?
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?
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.
Learn more about set here:
https://brainly.com/question/30705181
#SPJ11