Answer:
Step-by-step explanation:
a=-9
d=-4-(-9)=-4+9=5
l=66
l=a+(n-1)d
66=-9+(n-1)5
66+9=(n-1)5
n-1=75/5=15
n=15+1=16
Sn=n/2 {-18+(n-1)5}
=n/2{5n-23}
so reqd. sum is ∑[n/2{5n-23}] where n from 1→16
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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
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%.
solve z^3=27 it's a complex number
Answer:
z³=27
³√z³=³√27
z=3
Step-by-step explanation:
z³=27
³√z³=³√27
z=3
Answer:
the answer is 3
if you want the answer with complex number the Answer will be (-3i⁶)
because (-3)³ equal -27
and (i⁶)³ its i¹⁸ and the same time its i² so its -1
What is f(3) if f(x) =-4x+1
A=-44
B=-11
C=1/2
D=13
how do I do this?
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
[tex]f(x) = - 4x + 1[/tex]
Substitute the value of X in the equation.
[tex]f(3) = - 4(3) + 1 \\ f(3) = - 4 \times 3 + 1 \\ f(3) = - 12 + 1 \\ f(3) = - 11[/tex]
[tex]{\boxed{\boxed{\tt { Option \ B \ is \ the \ correct \ answer}}}} \ [/tex]
Kyler noticed that there were seven microscopic sea creatures lined up end to end. If each creature was 3.9 x 10 cm long, how long was the chain?
If the planet Neptune is 2.794 x 10 miles from the sun and the planet Earth is 9.3 x 10' miles from the sun, how many times farther away from the sun is Neptune than Earth?
Answer: 273 cm, 300
Step-by-step explanation:
Given
The length of each sea creature is [tex]3.9\times 10\ cm[/tex]
for 7 microscopic creature, it is
[tex]\Rightarrow 7\times 3.9\times 10\\\Rightarrow 273\ cm[/tex]
The distance of Neptune from the sun is [tex]2.794\times 10^9\ \text{miles}[/tex]
and the earth is [tex]9.3\times 10^7\ \text{miles}[/tex] from the sun
Comparison of neptune and earth distance
[tex]=\dfrac{2.794\times 10^9}{9.3\times 10^7}\\\\=0.300\times 10^2\\=300.4[/tex]
Neptune is 300 times farher away form the sun than earth
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.
click here to know more about the power of x.
https://brainly.com/question/7447978
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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.
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
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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]
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.
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
Appreciate any help. Thanks
find the equation of the line , use exact numbers
y=1/2x-3
typing this to take up space ignore this
using power to a power, what is (3^3)^3*
19,683
Hope this Helped!
Can someone please help?
Answer: $38,465
Step-by-step explanation: If each computer is $1,099 and there are 35 being bought then the equation is: 35 x 1,099 => 38,465
Answer:
37,365
Step-by-step explanation:
it's just simple math
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
Can someone plz plz plz help will give u brainlest
Your current job offers a pension that is calculated by multiplying the
number of years worked by the average salary of your last three years times
1.36%. If you plan on retiring after 25 years, calculate your annual pension if
your last three year salaries were $86,966, $88,666, and $90,628.
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) = -11Directions: 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
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.
Which of the following three side lengths could be joined together to make a triangle?
A. 12 cm, 12 cm, 10 cm
B. 4 cm, 2 cm, 7 cm
C. 8 cm, 10 cm, 1 cm
D. 3 cm, 3 cm, 6 cm
Answer:
Step-by-step explanation:
I think D
If you will count by cubes 3 cm+ 3 cm= 6
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]
Lisa recorded a 2-hour television show. When she watched it, she skipped the commercials. It took her
84 minutes to watch the show. How many minutes did she save by skipping the commercials?
Answer:
36 minutes
Step-by-step explanation:
2 hours in minutes is 120
120-84
36 minutes
What is the greatest common factor of 2x3x5x7 and 2x2x3x5x7?
Answer:
are these exponents or numbers?
Step-by-step explanation:
C is a circle with radius r. Which of the following is true?
Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2
Answer:
A and C and E are correct
Step-by-step explanation:
Circumference is 2 * pi* r
Help pleaseeeeeeeeeeee
Answer:
I think its 302 cubic feet
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
Simplify (4.5)(5)(-2).
45
4.5
-4.5
-45
Answer:
-45
Step-by-step explanation: