Answer:
(1,3)
Step-by-step explanation:
Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.
Answer:
(1,3)
Step-by-step explanation:
e d g e n u i t y :))
Estimate the magnitude of the error involved in using the sum of the first two terms to approximate the sum of the entire series summation from n equals 1 to infinity left parenthesis negative 1 right parenthesis superscript n plus 1 baseline startfraction left parenthesis 0.08 right parenthesis superscript n over n endfraction
Answer:
the magnitude of the error is 2.9959 × 10⁻⁹
Step-by-step explanation:
By Alternating series estimation theorem
[tex]\sum ^{\infty}_{n=1}(-1)^{n+1}a_n=a_1-a_2+a_3-a_4...+a_n[/tex] is satisfies
(i) [tex]a_n +1\leq a_n[/tex] for all n
(ii) [tex]\lim_{\rightarrow \infty}a_n=0[/tex]
The formula for magnitude of error is
[tex]|R_n|=|s-s_n|\leq a_n+1[/tex]
Let [tex]a_n = \frac{(0.08)^n}{n}[/tex]
We can see [tex]\frac{(0.08)^n^+^1}{n} \leq \frac{(0,08)^n}{n}[/tex]
For all n ∈ N
That means [tex]b_{n+1}\leq b_n[/tex] for all n ∈ N
[tex]\lim_{n \rightarrow \infty}a_n=\lim(\frac{(0.08)^n}{n} )\\\\=\frac{(0.08)^{\infty}}{\infty}[/tex]
[tex]\lim_{n\rightarrow \infty}a_n =0[/tex]
The alternating series estimation theorem is [tex]|R_s| = |s-s_n|\leq a_{n+1}[/tex]
After stop adding the term with n = 6
the series tells that the error is smaller than the term with a
Therefore
[tex]a_7 = \frac{(0.08)^7}{7} \\\\= \frac{20.97152}{7} \times 10^-^9\\\\=2.9959\times10^-^9[/tex]
the magnitude of the error is 2.9959 × 10⁻⁹
Fiona needs $60 per week for necessities. Her dad gives her $30 for weekly allowance. She has to earn the rest of the money. A friend recommends her for a housekeeping job where she will be paid $9.50 an hour for organizing the pantry. How many hours does Fiona need to work in order for the total weekly income to exceed $60?
Answer:
4 hours
Plz mark me brainliest
Step-by-step explanation:
1) Determine the period of the function in exact terms of pi: y = 6 sin (10x)
2) Determine the period of the function in exact terms of pi: y = 7 sin (x/3)
3) If the period of a sinusoidal function is equal to 18, which of the following gives its frequency?
a) π/9
b) 18π
c) π/18
d) 6π
4) When the period of a sine function doubles, the frequency
a) doubles
b) increases by 2
c) is halved
d) decreases by 2
Problem #3: How many 3/4 pound packages of sugar can be mode from 17_1/4 pounds of sugar? *
Answer:
23 packages
Step-by-step explanation:
To find the number of [tex]\frac{3}{4}[/tex] pound packages that can be made from [tex]17\frac{1}{4}[/tex] pounds, we simply divide [tex]17\frac{1}{4}[/tex] by [tex]\frac{3}{4}[/tex].
[tex]\frac{17\frac{1}{4} }{\frac{3}{4} }[/tex]
=> [tex]\frac{\frac{69}{4} }{\frac{3}{4} }[/tex] = [tex]\frac{69}{4} * \frac{4}{3}[/tex] = 23
23 packages of sugar can be made.
please help it's about math
Answer:
Step-by-step explanation:
surface area=area of four sides+area of top
=2(24+13)×8+24×13
=2×37×8+24×13
=592+312
=904 cm²
area of one tile=1×1=1 cm²
number of tiles=904/1=904
In class of 24 students, 1/3 of the class has brown eyes. How many students have brown eyes?Immersive Reader
Answer:
8 have brown eyes
Step-by-step explanation:
you do the total number of student over the faction
24/3=8
Answer:
8 students in the class have brown eyes
Step-by-step explanation:
to find how many students in the class has brown eyes multiply 3/4 with total number of students in the class.
1/3 ×24=8
Ayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply. (negative 9) cube 9 Superscript negative 3 3 Superscript negative 6 (StartFraction 1 Over 9 EndFraction) Superscript negative 6 (one-third) Superscript negative 6 (Negative 3) Superscript negative 6
Answer:
9 Superscript negative 3
Step-by-step explanation:
[tex]{9^{-3} = \frac{1}{9^{3}} =\frac{1}{729}}\\[/tex]
Answer:
b & c
Step-by-step explanation:
Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?
A triangle has side lengths 2, 3, and hypotenuse d.
2 squared + 3 squared = d squared
3 squared minus 2 squared = d squared
d squared + 2 squared = 3 squared
d squared + 3 squared = 2 squared
Answer:
The first one, 2 square+ 3 squared= d squared
Step-by-step explanation:
The theory for finding the hypotenuse of a triangle is:
[tex]a^{2} + b^{2} = c^{2}\\or\\(2)^{2}+(3)^{2}=d^{2}[/tex]
Answer: Option A
(A) 2 squared + 3 squared = d squared
2^2+3^2=d^2
Step-by-step explanation:
A bag of animal crackers contains 5 monkeys, 4 giraffes, 6 elephants, and 3 tigers. Suppose you draw a cracker at random. Find the probability of pulling a monkey cracker as a fraction.
Answer:
5/18
Step-by-step explanation:
Step one
Given data
5 monkeys,
4 giraffes,
6 elephants, and
3 tigers.
Step two
Given the sample space
S =(5, 4,6,3) = 5+4+6+3=18
Step three
the probability of pulling a card at random when picking up a card is
Pr(monkey) = 5/18
Which polynomial is equivalent to the expression
Answer:
The correct answer is B
the answer is attached to the picture
Answer:
[tex]4 {y}^{2} -12y + 9[/tex]
Answer C is correctStep-by-step explanation:
[tex](2y - 3)(2y - 3) \\ 2y(2y - 3) - 3(2y - 3) \\ 4 {y}^{2} - 6y - 6y + 9 \\ = 4 {y}^{2} - 12y + 9[/tex]
What is the length of leg s of the triangle below?
245
909
A. 2.2
B. 16
C. 4
D. 1.5
E. 1.5
F. ^32
Answer:creo que es la E
Step-by-step explanation:
What number is greater than -8.67
Answer:
Any number over then 1 is greater than -8.67 and any number less than -8.67is greater as well.
Step-by-step explanation:
Please find the question
Answer:
By distance formula ,
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB = 6.71 units
2(t+1) = 102(t+1)=10 t=?
Answer:
t = 9/10. Try to substitute the t value into all the t's to see if the answer is correct. Ex: 2t+2, 2(9/10) + 2
Step-by-step explanation:
First you are going to multiply the 2 with the t+1, which is 2t+2. Then you are going to do the same with the other side of the equation. 102 times t+1 is 102t+102.
Now the equation is 2t+2 = 102t+102 = 10
You are now going to combine like terms, 2t - 102t = 102 - 2 = 10
-100t = 100 = 10.
Now subtract 100 from 100 and 10, which makes it: -100t = -90
Then you are going to make the -100t = -90 to -10t = -9, finally it is t = 9/10
Answer:
t = 4
Step-by-step explanation:
Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the rod, and g is the acceleration due to gravity. He also knows that the frequency (f) of the pendulum is the reciprocal of its period. How can he express L in terms of g and f?
Answer:
[tex]L=\dfrac{g}{4\pi^2 f^2}[/tex]
Step-by-step explanation:
The equation to calculate the period of a simple pendulum is: [tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
Where:
T is the periodL is the length of the rod; and g is the acceleration due to gravity.Likewise, Frequency (f) of the pendulum [tex]f=\frac{1}{T}[/tex] therefore [tex]T=\frac{1}{f}[/tex]
We want to express L in terms of g and f.
From
[tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
[tex]T=\frac{1}{f}[/tex]
[tex]\frac{1}{f}=2\pi \sqrt{\frac{L}{g} }\\$Divide both sides by 2\pi\\\dfrac{1}{2\pi f}=\sqrt{\dfrac{L}{g} }\\$Square both sides\\\left(\dfrac{1}{2\pi f}\right)^2=\dfrac{L}{g}[/tex]
[tex]\dfrac{1}{4\pi^2 f^2}=\dfrac{L}{g} \\$Multiply both sides by g\\Therefore: L=\dfrac{g}{4\pi^2 f^2}[/tex]
How many solutions does the system have? y=5+6x y=6x+5
Answer:
Infinitely many solutions
Step-by-step explanation:
All prisms are Platonic solids.
A. True
B. False
Answer: False.
Step-by-step explanation: A Platonic solid is a convex polyhedron that is a regular polygon.
Answer:false
Step-by-step explanation: this is false because all prisms don’t Have to be platonic in order to be a prism
How would I solve this?
Answer:
3(6)-1
----------------
2(6)+1
Step-by-step explanation:
r(x) = 3x-1
s(x) = 2x+1
r(6) / s(6)
r(6) = 3(6)-1
s(6) = 2(6)+1
Putting r(6)/ s(6)
3(6)-1
----------------
2(6)+1
What is the sum of 2.5 × 104 and 3.4 × 104? (1 point)
Answer:
5.9× 10^4
Step-by-step explanation:
I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10." Please be sure to use the symbol " ^ " to express exponentiation.
The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4
or
5.9× 10^4
Please,someone can help me this question!!!
Answer:
x=126°, y=234°
Step-by-step explanation:
B altrenates A
180-54=126, x=126°
D is 180°, 54+180=234°
Solve the system of equations.
box plot true and false questions
Answer:
a= false
b=66% so you choose
Step-by-step explanation:
Answer:
a) true
b) false it's 25%
Step-by-step explanation:
there are 4 parts in the diagram: left whisker q1-madian,median-q2,right whisker each part is 25%
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, "Do you prefer pizza or a veggie burger for lunch?" and 67, percent answered "pizza."
Answer: 67 percent of all students at Ridgemont High prefer pizza for lunch.
Step-by-step explanation:
Here is the complete question:
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, “Do you prefer pizza or a veggie burger for lunch?” and 67%, percent answered “pizza.”
Based on this data, which of the following conclusions are valid?
a. 67, percent of all students at Ridgemont High prefer pizza for lunch.
b. 67, percent of the students in the sample prefer pizza for lunch, but we cannot conclude anything about the population.
c. About 67, percent of all teenagers prefer pizza for lunch.
From the question, we are informed that Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, which is "Do you prefer pizza or a veggie burger for lunch?" and then 67, percent answered "pizza.
Based on the scenario, this shows that 67% of the students at Ridgemont High School prefers pizza whenever they want to have lunch.
Answer:
A
Step-by-step explanation:
it was recently estimated that females outnumber males by seven to three. if there are 3450 people in a country, how many are females.
There are 2415 females in the country.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
There are 3450 people in a country.
It was recently estimated that females outnumber males by seven to three.
That means,
70% are the females.
So, the number of females,
= 70% of, 3450
= 70 x 3450 / 100
= 2415.
Therefore, 2415 females are in the country.
To learn more about the percentage;
https://brainly.com/question/24159063
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Please help!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Find the area of the regular pentagon. WILL GIVE BRAINLIEST!
Answer: 61.5
Step-by-step explanation:
Area of a regular pentagon= pa/2
Perimeter: 30
Apothem is shown as 4.1
30*4.1= 123
123/2
61.5
pls mark me brainliest if im right
Randy is using a map scale of 1 inch is 24 miles find the length of the map from east to west and the link from north to sell the distance across the state is 430 miles an from north to south the greatest distance about 200 miles
Answer:
theez nutz
Step-by-step explanation:
Please answer correctly !!! Will mark brainliest !!!!!
Answer:
13
Step-by-step explanation:
g(4) will be found by putting 4 in for r.
g(4) = 25 - 3(4)
g(4)= 25 - 12
g(4) = 13
What is the volume (in cubic units) of a sphere with a radius of 21 units? Assume that =3.14 and round your answer to the nearest hundredth when necessary.
Answer: [tex]V=38772.72\ units^3[/tex]
Step-by-step explanation:
Given
radius of sphere [tex]r=21\ units[/tex]
Volume of sphere can be calculated by this formula
[tex]V=\frac{4\pi }{3}r^2[/tex]
[tex]V=\frac{4\pi }{3}\times (21)^3[/tex]
[tex]V=\frac{4\pi }{3}\times 9261[/tex]
[tex]V=38772.72\ units^3[/tex]
The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5 feet.
The side of a ramp is to be painted. The ramp has a length of 11.1 feet, reaches a height of 1.5 feet, and runs 11 feet on the ground. What is the area of the space that will be painted? If necessary, round to the nearest tenth.
The area of the painted space is
square feet.
Answer:
Step-by-step explanation:
area of two sides of ramp=2*1/2*11*1.5=16.5 ft²
Answer:
8.3 ft
Step-by-step explanation:
area of two sides of ramp=2*1/2*11.1*1.5= 8.3 ft