Considering the dimensions of each figure, it is found that Shape D is an enlargement, by a scale factor of 2, of shape A.
What are the dimensions of each figure?The dimension of figure A is of 3 x 1.The dimension of figure D is 2 x 6.6/3 = 2 = 2/1.
Hence, Shape D is an enlargement, by a scale factor of 2, of shape A.
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PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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Identify each number between 2.6×10^-1 and 29.5%. Select all that apply. Responses 2.7×10^1
0.2875
2/7
2.8%
Numbers between 2.6×10^-1 and 29.5% are
0.28752/7How to write the numbers to decimal2.6 × 10^-1 in exponential form written in decimal as 0.26
29.5% in percentage written in decimal as 0.295
2/7 in fraction written in decimal as 0.2857
2.8% in percentage written in decimal as 0.028
0.2875 already in decimal form
the problem asks of numbers from 0.26 to 0.295
comparing the numbers shows that the numbers in this range are
0.2875 and 2/7
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find f(g(1)) if f(x)=4x and g(x)=2x+5
Evaluating the composition of functions in x = 1 gives:
f(g(1)) = 28
How to find the composition of functions?Here we have the two functions:
f(x) = 4x
g(x) = 2x + 5
And we want to find to find the composition f(g(x)), we will get:
f(g(x)) = 4*g(x)
Replacing g(x) there we will get:
f(g(x)) = 4*(2x + 5)
= 8x + 20
Now we can evaluate that in x = 1, then we will get:
f(g(1)) = 8*1 + 20 = 28
That is what we wanted to find.
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what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
given f(x) = 3x^3+kx+9, and the remainder when f(x) is divided by x+2 is -17, then what is the value of k?
Answer:
1
Step-by-step explanation:
f(x) = 3x^3+kx+9, and the remainder when f(x) is divided by x+2 is -17, then what is the value of k=1
purpose of bar graphs and data example
To compare the different variables and to know which variable has more percent compare to the others.
In this bar graph, we compare different frutis and which fruit prefer the people
is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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Need help! the question is on the png
Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
Find the solutions of the given system of equations: x2 + y2 = 5 and y = 3x + 1.
Substituting the second equation in the first one we get:
\(x^2+(3x+1)^2=5.\)Simplifying the above equation we get:
\(\begin{gathered} x^2+(3x)^2+2*(3x)(1)+1^2=5, \\ x^2+9x^2+6x+1=5, \\ 10x^2+6x+1=5. \end{gathered}\)Subtracting 5 from the above equation we get:
\(\begin{gathered} 10x^2+6x+1-5=5-5, \\ 10x^2+6x-4=0. \end{gathered}\)Now, notice that:
\(10x^2+6x-4=2(5x^2+3x-2)=2(5x-2)(x+1).\)Therefore:
\(10x^2+6x-4=0\text{ if and only if }x=\frac{2}{5}\text{ or }x=-1.\)If x=2/5:
\(y=3*\frac{2}{5}+1=\frac{6}{5}+1=\frac{11}{5}.\)Therefore
\((\frac{2}{5},\frac{11}{5})\)is a solution to the given system of equations.
If x=-1:
\(y=3*(-1)+1=-3+1=-2.\)Therefore (-1,-2) is a solution to the given system of equations.
Answer: Third option.
Please help me I beg you
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On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.
3.
What was the value of the S&P
500 before the open on June
22nd, 2010?
4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?
The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.
The percent change points is -1.61%/
What is the percent change?The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.
Value before the open of June 22nd, 2010 = value at the close + change
17.89 + 1095.31 = 1,113.20 points
Percentage change = (change in points / points before open) x 100
(-17.89 /1,113.20) x 100 = -1.61%
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which expression is equivalent to 25s^3+12s/5s
Answer:
A
Step-by-step explanation:
1 Factor out the common term ss.
\frac{s(25{s}^{2}+12)}{5s}
5s
s(25s
2
+12)
2 Cancel s.
\frac{25{s}^{2}+12}{5}
5
25s
2
+12
(4x^2- 10x+9)+(6x-2)-
Answer:
-2^5
Step-by-step explanation:
Answer:
24^3-52x^2+34x+18
What is the solution to the system ?
Answer:
(-3, 2)
Step-by-step explanation:
The coordinate pair of the point where both lines intercept is the solution of the system.
From the graph given, both lines intercept at the point where x = -3 and y = 2.
Therefore, the solution to the system = (-3, 2)
Solve the inequality for w.
8 <12+w
Answer:
W > -4
Step-by-step explanation:
8-12 < w
-4 < w
W > -4
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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ASAPP PLEAASSEE!!!
Nathan deposits $940 every 2 months into his daughter's RESP. If the account earns 3.99% / annual, compound quarterly, how much will be in the account after 25 years?
There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (amount in the account after 25 years)
P = Principal amount (amount deposited every 2 months)
r = Annual interest rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.
Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.
Now, we can substitute these values into the formula:
A = 940(1 + 0.0399/4)^(4*25)
Calculating the exponent first:
(1 + 0.0399/4)^(4*25) ≈ 2.703236
Now, substituting the calculated exponent and the number of deposits into the formula:
A = 940 * 2.703236 * 150 ≈ $594,311.34
Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.
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find the area of parallelogram .
I need to know how to solve this. can someone please explain it I'm trying to help my son out. this one is tricky it has a fraction.
Answer:
894
Step-by-step explanation:
You'll just multiply 37 1/4 x 24... remember that the 32 mi doesn't count because it is not perpendicular to the base, if it's not perpendicular to the base than you will not multiply with it.
I learned this and also got this question!
Good Luck with the test!
Answer:
cvfbb
Step-by-step explanation:
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
c and d for 20 pts
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Answer:
C. a = 7
D. c = -3
Step-by-step explanation:
C. 7(2a + 3) + 21 = 100+ 40
14a + 21 + 21 = 140
14a = 140 - 21 - 21
14a = 98
a = 7
D. 6+ 14 - 12c = 56
20 - 12c = 56
-12c = 56 - 20
-12c = 36
c = - 3
Answer:
Step-by-step explanation:
c.7(2a+3)+21=100+40
14a+21+21=140
14a+42=140
14a=140-42
a=98/14
a=7
d.6+14-12c=56
20-12c=56
-12c=56-20
c=36/-12
c=-3
2
3
P() = 0
O x + 1 is a factor of P(x)
O x + 1 is not a factor of P(x)
X
4
$
5
6
7
3
Use the Factor Theorem to determine whether x + 1 is a factor of P (x) = − xª¹ − x³ + 2x + 4.
Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.
8
00
To use the Factor Theorem to determine whether x + 1 is a factor of P(x) = -x^4 - x^3 + 2x + 4, we need to evaluate P at x = -1. If the result is 0, then x + 1 is a factor of P(x). If the result is non-zero, then x + 1 is not a factor of P(x).
Substituting x = -1 into the function P(x) gives us:
P(-1) = (-1)^4 + (-1)^3 + 2(-1) + 4
= 1 + -1 + -2 + 4
= 2
Since P(-1) is non-zero, x + 1 is not a factor of P(x).
8. A tap was turned on to fill a container with water. The graph below shows the amount of water in the container over 30 minutes. (a) 6000 (b) 5000 Amount of Water 3000 (cm³) 4000 2000 1000 0 0 5 10 15 20 25 30 Duration (mins) How much water did the tap fill the container with in one minute? 3 - filled with water. What 4 At the end of 30 minutes, the container was percentage of the container was filled with water before the tap was turned on? Round your answer to 2 decimal places.
If the container has a capacity of 6000 cm³, then it was completely filled with water at the end of 30 minutes.
What is total capacity?Total capacity refers to the maximum amount or volume that a given system, machine, container, or facility can hold or accommodate. It is the total amount that can be held or processed under ideal or maximum conditions, without overloading or damaging the system.
According to question:(a) To find the amount of water filled by the tap in one minute, we can calculate the change in the amount of water over one minute, which is the slope of the line. Looking at the graph, the amount of water increases by 1000 cm³ over 5 minutes, so the amount of water filled in one minute is:
1000 cm³ / 5 minutes = 200 cm³/minute
Therefore, the tap filled the container with 200 cm³ of water every minute.
(b) At the beginning of the 30 minutes, the container was empty, so 0% of the container was filled with water. At the end of the 30 minutes, the container was filled with 6000 cm³ of water. The total capacity of the container is not given in the question, so we cannot determine the percentage of the container that was filled with water.
However, if we assume that the container has a capacity of 6000 cm³, then the percentage of the container that was filled with water at the end of 30 minutes is:
(6000 cm³ / 6000 cm³) x 100% = 100%
So if the container has a capacity of 6000 cm³, then it was completely filled with water at the end of 30 minutes.
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HELP NEED ASAP!!! PLEASE HELP ME OUT
The value of x that will make both lines A and B to be parallel is: 20
How to solve Line transversal theorem?The line transversal theorem states that:
If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.
Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:
3x + 20 = 80
3x = 80 - 20
3x = 60
x = 60/3
x = 20
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Joy has 60 basketball cards she has six times as many basketball cards as Laura how many basketball cards does Laura have
Answer:
probably 10 since you devide 60 by 6 and you get 10
Step-by-step explanation:
What is 0.2 , ( - 1.78)?
Answer:
-1.48
Step-by-step explanation:
I do 0.20+0.40=70+8+0.78+1=1.78
PLEASE HELP I DON'T UNDERSTAND THE QUESTION. THANK YOU :)
ABC and DEC are similar, since the line segments AB and DE are parallel.
This means corresponding sides of these triangles occur in a fixed ratio with one another.
In particular, this tells us
DE/AB = DC/AC
or
7/11 = 15/(15 + x)
Solve for x:
11/7 = (15 + x)/15
11/7 = 1 + x/15
4/7 = x/15
x = 60/7
he button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled.
Arrows pointing from the selected cell to cells that depend on the selected cell are generated by using the Trace dependents button of the Formula Auditing group.
nodes in an influence diagram represent part of the model
The Trace Precedents button, located in the Formula Auditing group, creates arrows pointing to the selected cell from cells that are part of the formula in that cell
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
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please help with this practice question ASAP