Answer:
(8.5, - 2 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 43 → (1)
2x - 3y = 23 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the term in x
- 6x + 9y = - 69 → (3)
Add (1) and (3) term by term to eliminate x, that is
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in either of the 2 equations and solve for x
Substituting into (1)
6x + 4(- 2) = 43
6x - 8 = 43 ( add 8 to both sides )
6x = 51 ( divide both sides by 6 )
x = 8.5
Solution is (8.5, - 2 )
WILL GIVE BRAINLIEST The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.9%. What is the approximate pressure at an altitude of 2000 m?
Answer:
The formula to calculate pressure at an altitude in this case is:
P = original pressure x (1 + rate of change)^(number of changing)
in which,
original pressure = 101 kilopascals
rate of change = -11.9% = - 0.119
number of changing = 2000/1000 = 2
=> P = 101 x (1 - 0.119)^2 = 78.39 kilopascals
Hope this helps!
:)
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]
Bob works at a construction company. He has an equally likely chance to be assigned to work different crews every day. he can be a sign to work on cruise building apartments condominiums or houses. if he works 21 days a month about how many times should he except to be assigned to the apartment crew?
Bob can except to be assigned to the new house crew about _____ times out of 21 days
Answer:
i think it is 4? correct me if im wrong :(
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
Solve the system of equations.
Find the midpoint of the line segment with end coordinates of:(−2,−4) and (2,−10)
Answer:
Step-by-step explanation:
By using mid point formula ,
(X,Y) =( X1+X2/2) , Y1 +Y2/2
(-2+2/2) , (-4-10/2)
or, (0/2), (-7)
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.
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:
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:
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:
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°
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
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
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
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
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]
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:
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
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
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:
For Halloween, Gina received candies from her neighbor, aunt, and uncle. Her aunt gave four times as many candies as her uncle. Her uncle gave 10 less candies than her neighbor. Gina's aunt gave her 44 candies. How many candies did Gina's neighbor give her?
Answer:
21 candies.
Step-by-step explanation:
44÷4=Uncle
Uncle+10=Neighbor
Aunt: 44 candies
Uncle: 11 candies
Neighbor: 21 candies
Her neighbor gave here 21 candies.
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]
How many solutions does the system have? y=5+6x y=6x+5
Answer:
Infinitely many solutions
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 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
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%
pls explain what the answer is n how u got it pls????????????????????????????????????????????????????????????????????????????????????
Answer:
dependent
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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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: