Answer: Draw a dot, then draw a line from that dot, then at the end of the line draw a arrow. Label the dot L, and put another dot in the center of the line and label it M.
What is the area of the polygon?
Answer:
[tex]154m^{2}[/tex]
Step-by-step explanation:
8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).
5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.
6 · 8 = 48m (square shape to the left of the polygon)
2 · 5 = 10m (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5
56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]
Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer to three decimal places.
Answer:
0.9769
Step-by-step explanation:
Given the data :
X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1
Y : 35, 6, 45, 18, 20, 89, 84
The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.
Which inequality is represented by the graph below? Check all that apply. Ox>9 Ox
Answer:
The correct answers are [tex]x < 9[/tex] and any rational number less than 9.
Step-by-step explanation:
Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.
A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
A. 9 square centimeters
B. 25 square centimeters
C. 17 square centimeters
D. 13 square centimeters
E. 15 square centimeters
Answer:
Option B is correct one
B. 25 square centimeters
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The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L × W square units
A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,
W = 5 - 2
W = 3 cm
Then the area of the rectangle will be given as,
A = 5 x 3
A = 15 square centimeters
The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.
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suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?
A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits
Answer:
C. The number of hours she babysits
Step-by-step explanation:
In this situation, the number of hours she babysits is the independent variable.
This is because it will directly influence the amount of money that she earns, which is the dependent variable.
For example, working for 1 hour will earn her $15.
So, the correct answer is C. The number of hours she babysits
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Directions: Encircle the letter of the correct answer.
1. What do you call the distance around a cirde?
A. area
B. perimeter
C. circumference
volume
2. Jenny made a circular veil has a radius of 4 decimeters. How many decimeters of lace
trimmings were needed to put around the veil?
A. 8 decimeters
B. 16 decimeters
C. 12 decimeters
D. 25.12 decimeters
3. The circular based statue in the middle of a fountain City Hall Park has a diameter of 9
meters. If the City Mayor would like to put decorative ribbon around it, how much ribbon is
needed?
A. 18 meters
B. 28.26 meters
C. 27 meters
D. 81 meters
4. Mr. Cruz planted santan in his circular garden with a diameter of 8 meter. What is the
circumference of his garden?
A. 16 meters
B. 25.12 meters
C. 24 meters
D. 64 meters
5. Robert's mother is making a pot holder with a diameter of 7 meters. How many meters of
lace she needs to decorate around the pot holder?
A. 14 meters
B. 21.98 meters
C. 21 meters
D. 49 meters
Answer:
Step-by-step explanation:
1.C. circumference
2.D. 25.12 decimeters
Solution
C=2πr=2·π·4≈25.13274
3.B. 28.26 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·9≈28.27433m
4.B. 25.12 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274m
5.B. 21.98 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·7≈21.99115m
Estimate the line of best fit using two points on the line. (8, 80) 100 90 80 70 60 50 40 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x + 10 O c. y= 10x+ 2 OD. y= 10x
Answer:
[tex]y = 10x[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]
We have:
[tex](x_1,y_1) = (8,80)[/tex]
[tex](x_2,y_2) = (2,20)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20 - 80}{2- 8}[/tex]
[tex]m = \frac{-60}{-6}[/tex]
[tex]m = 10[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 10(x - 8) + 80[/tex]
Expand
[tex]y = 10x - 80 + 80[/tex]
[tex]y = 10x[/tex]
What is 12% of 125? Round each answer to the nearest WHOLE number.
Answer:
10
Step-by-step explanation:
Answer: 15
you do the whole number (125) times the percentage in decimal for (.12)
so its 125 x 0.12 = 15
-61=-3(1-5p)+4(-8-7p)
Answer: hello! have a good day! :)))
P = 2
Give the trigonometric form of each vector (leave the magnitude as a square root) p=
(<2V6, -2V2)
Answer:
[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]
Step-by-step explanation:
Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:
[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]
[tex]||v||=\sqrt{24+8}[/tex]
[tex]||v||=\sqrt{32}[/tex]
Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:
[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]
[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]
[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]
[tex]\alpha=40.89^{\circ}[/tex]
Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]
To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].
In conclusion, the trigonometric form of the vector is:
[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or
[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]
A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this problem should be
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\[/tex]
The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.
The percentage of aces is expected to be around 16.67% , or 1.2%.
Two angles are complementary. mZT is (3x + 17)° and mZW is 19°
Solve for x and for mZT.
Answer:
x = 18
mZT = 71º
Step-by-step explanation:
Complementary angles total 90º
(3x + 17) + 19 = 90
Subtract 19 from both sides
3x + 17 = 71
mZT = 71º
Subtract 17 from both sides
3x = 54
Divide both sides by 3
x = 18
A man just bought 2 suits, 9 shirts, and 11 ties. All of these suits, shirts, and ties coordinate with each other. If he is to randomly select one suit, one shirt, and one tie to wear on a certain day, how many different outcomes (selections) are possible
Answer: 198 ways
Step-by-step explanation:
Given
A man has 2 suit, 9 shirts, and 11 ties available to select one suit, one shirt, and one tie.
No of ways of selecting 1 suit out of 2 is [tex]^2C_1[/tex]
No of ways of selecting 1 shirt out of 9 are [tex]^9C_1[/tex]
No of ways of selecting 1 tie out of 11 are [tex]^{11}C_1[/tex]
total no of ways of required ways are
[tex]\Rightarrow ^2C_1\times 9C_1\times ^{11}C_1=2\times 9\times 11\\\Rightarrow 198[/tex]
which of the following represents the equality for the sum of 11 and Y is greater than -33
Answer:
11+y > -33
Step-by-step explanation:
Answer:
You wrote
"Which of the following" Meaning there's should be options present.
But Going with the statement...
The sum of 11 and y is greater than -33
I'd say
11 + y > -33.
Simplify this expression by distributing: (p - 3)6.
Answer:
6p-18
Step-by-step explanation:
Answer:
6p -18
Step-by-step explanation:
(p - 3)6
Distribute
6*p - 6*3
6p -18
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An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?
Answer:
7 socks were sold
Step-by-step explanation:
7*8=56
11-7=4
4×11=44
56+44=100
This proves the answer of 7 to be correct
If x= -3, which of the following values is positive? x3, x2, 2x or 1/x
Plssss answer
If c is a positive real number, then the graph of
f(x – c) is the graph of y = f(x) shifted to the right
c units.
Horizontal Shifts
If c is a positive real
number, then the
graph of f(x + c) is
the graph of y = f(x)
shifted to the left
Given:
If a graph is shifted a units to the left then it becomes
Here, the graph is shifted 1 unit to the left . On taking a=1, we get graph
Using formula , we get
Using formula , we get
Using distributive property over multiplication i.e , we get
Therefore,
Answer:
If x= -3 then x^2 will be positive.
Step-by-step explanation:
we can choose the option by putting x= -3 on each option to see which of them will get us positive value..
x^3 = (-3)×(-3)×(-3) = -27
x^2= (-3)×(-3) = 9
2x = 2 × (-3) = -6
1/x = -1/3
Thus from the values above we can see that the If x= -3 then x^2 will be positive.
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Which expression is NOT equal to 28?
A (9 + 25 = 5) x 2
B. [(13 – 4x2) – 1] x 7
C. 42 = 6 + 28 = 4
D. 7 [8 - (12 - 4x 2)]

Answer:
aaaaa
Step-by-step explanation:
Answer:
I think it’s A
Step-by-step explanation:
PLEASE HELP ME IT'S MY LAST GRADE
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
x>-2
Wyatt wants to spend no more than $25 at the grocery store. He bought a
pizza for $7.55 and a cake for $11.02 (including tax). Choose the inequality
that he can use to find how much money he can still spend.
Answer:
he spent $18.57 and he can spend $7.43 more
The solution is, he can still spend no more than $6.43.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
Wyatt wants to spend no more than $25 at the grocery store.
He bought a pizza for $7.55 and a cake for $11.02 (including tax).
now, we have to find the inequality that he can use to find how much money he can still spend.
let, we would spend = x
now, we have,
He bought a pizza for $7.55 and a cake for $11.02
so, he had = $ x - ( 7.55 + 11.02)
we have,
x ≥ 25
so, he can still spend ≥ 25 - ( 7.55 + 11.02)
or, he can still spend ≥ 6.43
i.e. he can still spend no more than $6.43
Hence, The solution is, he can still spend no more than $6.43.
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Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?
Ops: A.
w
O 51
B.
O 68
C.
0 42
5723
D.
O 34
Answer:
D 34
Step-by-step explanation:
i hope you understand
Suppose George walks I mile every 20 minutes. How many
feet further can he walk in 1 hour at this new rate?
Answer:
forgot so I have been eating much of my friends are for sure what pic and send you a few weeks I have been a bit but we are not what pic my wife is to inform that
using power to a power, what is (3^3)^3*
19,683
Hope this Helped!
If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3
Answer:
f(g(-3)) = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 1
g(x) = 2x + 1
x = -3
Step 2: Evaluate
Substitute in x: f(g(-3))Substitute in x [Function g(x)]: g(-3) = 2(-3) + 1Multiply: g(-3) = -6 + 1Add: g(-3) = -5Rewrite: f(-5)Substitute in x [Function f(x)]: f(-5) = 2(-5) - 1Multiply: f(-5) = -10 - 1Subtract: f(-5) = -11How much does $3,000 earn in six months at an interest rate of 4 compounded quarterly?
Answer:
The final balance is ₹4,926.8.
The total compound interest is ₹3,926.8.
The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
The principal amount of $3,000 was earned in six months at an interest rate of 4 compounded quarterly. Then the value of n will be 4. Then we have
[tex]A = 3000 \left (1 + \dfrac{0.04}{4} \right )^6[/tex]
Simplify the equation, then we have
A = 3000 (1.01)⁶
A = 3000 x 1.062
A = $3184.6
The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.
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If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.
the answer is on the picture
Compute the cost of driving for two different job options.4 $Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.50 $ Ex: 600
Answer:
Compute the cost of driving for two different job options.
Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.
Job 1
Miles each way 5
What is the cost of driving?
Job 2
Miles each way 50
What is the cost of driving?
The Total cost of driving for both the job 1 and job 2 is $1250 and $1250.
$Driving costs 0.50 dollars per mile.
Driving occurs 250 days per year.50
What is Statistic?
The statistic is the study of mathematics which deal with relations between comprehensive data.
1) job 1
ways = 5 x 2 miles
Total cost of driving = total miles x total days x driving cost per miles
= 10 x 250 x0.50
2) job 2
total cost of driving = 2 x 50 250 x0.5
Thus, The required Total cost of both the job 1 and job 2 is $1250 and $1250
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