Answer:
B'= ( -1, -3 ) D'= ( 3, -3 )
Step-by-step explanation:
Well we just divide the coordinates of each point by 3!
How long will it take the same crew to clear the entire plot of 2 1/2 acres?
Answer:
1. 15 days
2. 0.17 acre.
Step-by-step explanation:
1. Determination of the number of days.
From the question given above,
The crew clears ⅓ acre of land in 2 days.
Therefore, the crew will clear 2½ acres in = (2½ × 2) / ⅓
= (5/2 × 2) × 3
= 15 days
Thus, the crew will clear 2½ acres in 15 days
2. Determination of the acre of land.
From the question given above,
The crew clears ⅓ acre of land in 2 days.
Therefore, the crew will clear X acre of land in 1 day i.e
X acre of land = ⅓ ÷ 2
X acre of land = ⅓ × ½
X acre of land = 1/6
X acre of land = 0.17 acre
Thus, the crew will clear 0.17 acre of land in 1 day
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils is the store sells a total of 1950 pencils and pens and markers in a week how many of each were sold
Answer:
Pencils = 325 ; Pens = 975 ; Markers = 650
Step-by-step explanation:
Let :
Number of Pencils = x
Number of pens = y
Number of markers = z
2 times as many markers as pencils
z = 2x
3 times as many pens as pencils
y = 3x
x + y + z = 1950
Write z and y in terms of x in the equation :
x + 3x + 2x = 1950
6x = 1950
Divide both sides by 6
6x / 6 = 1950 / 6
x = 325
Number of pencils = 325
Pens = 3 * 325 = 975
Markers = 2 * 325 = 650
Pencils = 325 ; Pens = 975 ; Markers = 650
HELPASAP !!! SEE ATTACHED PHOTOS!
Answer:
See belowStep-by-step explanation:
#11/16a² - ab + 4b² = (1/4a)² - 2(1/4a*2b) + (2b)² =(1/4a - 2b)²#29y² + c²d² + 6cdy = (3y)² + 2(3y)(cd) + (cd)² = (3y + cd)²#39/25a⁶b² - a⁴b⁴ + 25/36a²b⁶ = (3/5a³b)² - 2(3/5a³b)(5/6ab³) + (5/6ab³)² = (3/5a³b - 5/6ab³)²Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=0 as your equation.
Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get
\(f'(x) = 3x^2 - 2\)
We approximate \(f(x)\) at \(x_1=2\) with the tangent line,
\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)
The \(x\)-intercept for this approximation will be our next approximation for the root,
\(10x - 18 = 0 \implies x_2 = \dfrac95\)
Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).
\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)
Then
\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)
Once more. Approximate \(f(x)\) at \(x_3\).
\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)
Then
\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)
Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.
What is the answer to log↓2(x)-3=1
Another way to say 15 minutes pass 3
Answer:
3:15 just swap the numbers around and put this sign (:)
Answer:
15 past 3
or if you're saying 30 minutes past 3 you could say half-past 3.
Order the decimal numbers from the smallest to the largest.
A) 0.1 0.4 0.2 0.3 0.8 0.6
B) 0.79 0.54 0.23 0.01 0.09 0.85
C) 1.86 1.93 2.45 1.13 5.85 3.67
A: 0.1, 0.2, 0.3, 0.4, 0.6, 0.8
B: 0.01, 0.09, 0.23, 0.54, 0.79, 0.85
C: 1.13, 1.86, 1.93, 2.45, 3.67, 5.85
4x+5(7x-3)=9(x-5)
x=???
Answer:
i think its 3 im not sure
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30/30
→ [ x = -1 ]
Hence, the value of x is -1.
Find the value of 3^-3x10^-3
Answer:
1/27000
Step-by-step explanation:
Use your calculator
Irina’s basketball team has a 1 in 6 chance of winning the first-place trophy. She rolled a six-sided number cube repeatedly, assigning her team a number from 1 to 6 to demonstrate the probability that her team would win. Which method did she use to collect her data? survey simulation experiment observational study
Answer:
b is right (simulation)
Step-by-step explanation:
edg
The method of data collection used is the simulation method
What is a number cube?A number cube (also known as a die) is a device that is used in simulating probabilities
Below is how to determine the method she used.
From the question, we have the following highlights:
Chance of winning = 1/6She rolls a number cubeThe outcome is assigned to the team that would winThe highlight 3 above implies that the method of data collection used in this question is the simulation method
This is so because the winning team is determined by rolling a number cube
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Which of the following numbers is one-fifth of a given number if one-fourth of that same number is 20? Select the single best answer: A 10 B. 15 C. 20 D. 16 E. 25 usuan West >>
16 is the number which is one-fifth of a number when one-fourth of that same number is 20.
As per the given data:
One-fourth of the number is resulted to 20.
Here we have to determine the result of one-fifth of the same number from the given options.
An expression for a portion of a whole is a fraction.
For any real numbers, the fractional component of x is defined.
Let the number be X.
One-fourth of a number is 20 which means:
Multiply the one-fourth fraction with an unknown number which results in the number 20.
\($\frac{1}{4}\) (X) = 20
X = 20 × 4
X = 80
Now we have to determine that one-fifth of the same number.
Multiply the one-fifth fraction by 80.
We get:
= \($\frac{1}{5}\) (80)
= \($\frac{1}{5}\) × 5 × 16
= 16
One-fifth of the number 80 is 16
Therefore Option (D) - 16 is the correct answer.
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+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°
A is either 45° or 135°.
To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.
Using the distance formula, we have:
AB² = x₁² + y₁²
AC² = x₂² + y₂²
According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:
(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]
Expanding and simplifying the equation, we get:
x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)
This equation can be further simplified to:
(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)
Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.
In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.
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is (85.76%) an C or B
Answer:
It is B.
Step-by-step explanation:
A C is anything between 73-76 %, while a B is anything between 83-86 %
Geometry - Triangles > Interior angles of a trlangle 20. The three angles of a triangle measure x°, yº and 17. Which of the following statements must be true? y=180- x+y=17 y+x= 180 - 17 y=x+ 17
Given:
Three angles of a triangle are x°, y° and 17°.
The objective is to select the correct statement.
By the angle sum property of triangle, the sum of all the angles of a triangle will be 180°.
Then, the sum of given three angles will be,
\(\begin{gathered} x\degree+y\degree+17\degree=180\degree \\ x\degree+y\degree=180\degree-17\degree \end{gathered}\)Hence, the correct statement is y+x=180-17.
classify each sample as random, systematic, stratified, or cluster. in a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.
The Classification of each sample ( i.e., sampling technique ) are
Cluster Systematic Random Systematic Stratified1) Cluster sampling is a type of sampling in which the whole population is divided into separate groups (clusters). After which a simple random sample is selected from these clusters to conduct the analysis. To determine whether the students have less homework to do now as compared to the previous year, all teachers of two buildings in a large school districted are interviewed. In the provided scenario, the two buildings can be considered as two cluster. Since, all the teachers of these two strata are interviewed, the sampling method can be considered as cluster sampling.Hence, the sampling method can be considered as a cluster sampling.
2)Systematic sampling is a type of sampling in which every k member is included in the sample, after the selection of the first unit. According to the question, every seventh customer is asked about his/her favorite store. Since, every seventh customer is asked about his/her favorite store, the sampling method can be considered as a systematic sampling.
3) Simple random sampling is a type of sampling in which every unit of the population has an equal chance of being included in the sample.
In the provided scenario, nursing supervisors are selected using random numbers. That is, the nursing supervisors are selected randomly from the population. Hence, the sampling method can be considered as simple random sampling.
4) According to the question, every hundredth Hamburg manufactured is checked. Since, every hundredth Hamburg manufactured is selected for checking, the sampling method can be considered as a systematic sampling.
5) Stratified random sampling is one of type of sampling techniques, which is used for a heterogeneous population. In case of stratified sampling, the heterogeneous population is divided into strata before collecting the sample . According to the question, mail carriers are divided into four groups according to gender and the route use by them. Then 10 people are selected randomly from each group for interview. Therefore, the population is divided into four groups according to two different characteristics and then 10 people are selected randomly from each group. Hence, the sampling method can be considered as stratified sampling.
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Complete question :
Classify each sample as random, systematic, stratified, or cluster
1. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.
2. Every seventh customer entering a shopping mall is asked to select his or her favorite store.
3. Nursing supervisors are selected using random numbers in order to determine annual salaries.
4. Every hundredth hamburger manufactured is checked to determine its fat content.
5. Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year.
Find the sum plz
1 3/5 + 8 1/2
Answer:
10.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 3/5 + 8 1/2= change to mixed fraction
8/5+17/2 find common denominator
16/10+85/10=
101/10 or 10 1/10 or 10.1
How many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation:
6.What is of 40%of40%? a.12. b.14 .c.15.d.16
Percentage
0.4 x 0.4 = 0.16 =16% (d)
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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Right triangles ABC and DBC
Answer:
The writing is blurry. Please snap again in closer range
A roller coaster's height is given by the equation h= -0.46t^2+ 5t +75, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.
O 122.05 seconds
O 75.00 seconds
O 54.35 seconds
O26.71 seconds
Answer:
026.71 seconds
Step-by-step explanation:
h=0.46^2
Answer:A) 122.05 seconds
Step-by-step explanation:
I know this was posted a long time ago, but i’m answering it for anyone that searches online and can’t find the answer anywhere. Anyways here is the work.
Step 1: substitute 0 for h
h= - .046t^2 + 5t + 75
-.046t^2 + 5t + 75 = 0
.046t^2 - 5t - 75 = 0
Step 2: you solve by factoring and you get t = 122.05 seconds
Therefore, the answer is A. (i took the flvs test and it was right btw)
Which point is located at 2 7/10?
Answer:
C
there are 10 spaces in between 2 and 3, so you just count up to it
a 8. The plans of a house are drawn to a scale of 1:50. (a) Find the actual length, in metres, represented by 14 cm on the plan. (b) What length, in centimetres, on the plan represents an actual length of 11 metres? [N/85/P1]
Answer:
a) 7 m
b) 22 cm
Step-by-step explanation:
Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.
ProportionThe actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.
plan : actual = 1 cm : 50 cm
= 1 cm : 0.5 m
= 2 cm : 1 m
a) 14 cmMultiplying the scale by 7, we have ...
2 cm : 1 m = 14 cm : 7 m
The actual length is 7 meters.
b) 11 mMultiplying the scale by 11, we have ...
2 cm : 1 m = 22 cm : 11 m
The plan length is 22 cm.
The total amount A in an account earning simple interest is given by the equation A = P + Prt, where P is the principal, r is the rate as a decimal, and t is time in years.
Faith deposited $1500 in an account earning 2% simple interest. Complete the equation Faith can use to find the total amount in her account after t years.
The total amount in her account after t years will be 1500 + 30t.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The total amount A in an account earning simple interest is given by the equation A = P + Prt, where P is the principal, r is the rate as a decimal, and t is time in years.
Faith deposited $1500 in an account earning 2% simple interest.
The total amount in her account after t years will be
A = 1500 + 1500 × 0.02 × t
A = 1500 + 30 × t
The total amount in her account after t years will be 1500 + 30t.
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Pls ans I will give brilliant who ever ans first!
What is the solution of the equation 2 + 3x = 7? round your answer to the nearest ten-thousandth. 0.2218 0.4522 0.6826 1.4650?
Answer:
1.4650
Step-by-step explanation
Find the solutions to the following equation by using the quadratic formula .
2x^2+14x+20=216
Answer:
x = 7 , − 14
Step-by-step explanation:
I believe this is correct.
Play ball! The dotplot shows the number of wins for each of the 30 Major
League Baseball teams in the 2014 season:
A) Find the percentile for the Boston Red Sox, who won 71 games.
B) The new York Yankees number of wins is at 60th percentile of the distribution. Interpret this value in context. how many games did New York win?
Answer: 17th percentile
Step-by-step explanation: i say this because it falls before the 50 percentile
- Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?
Answer:
Step-by-step explanation:
4.56 $
Answer:
Rachel earned about $5 more than Morgan.
$54.79 - $50.23 = $4.56
$4.56 rounds up to $5
Step-by-step explanation:
I have the same worksheet and I am relatively sure this is correct. Hope this helps someone.