Answer:
Step-by-step explanation:
The GCF if 24s^3, 12s^4 and 18s is
24s^3: 2^3 * 3 s s s
12s^4: 2^2 * 3 s *s* s* s
18s: 3^2 * 2 s
3s is the GCF
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
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]
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
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:
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.
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 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]
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°
I don’t know I need help
Answer:
x=34
Step-by-step explanation:
x+(x+12)+100=180
2x+12=80
2x=68
x=34
USE SUPPLEMENTARY!! STRAIGHT LINE= 180 degrees! :))
Answer:
[tex] \boxed{x \degree = 34\degree} [/tex]
Step-by-step explanation:
[tex] = > (x + 12) \degree + 100 \degree + x \degree = 180 \\ \\ = > x \degree + 12 \degree + 100 \degree + x \degree = 180 \degree \\ \\ = > 2x \degree + 112 \degree = 180 \degree \\ \\ = > 2x \degree = 180 \degree - 112 \degree \\ \\ = > 2x \degree = 68 \degree \\ \\ = > x \degree = \frac{68}{2} \degree \\ \\ = > x \degree = 34\degree[/tex]
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
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
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%
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!
:)
pls explain what the answer is n how u got it pls????????????????????????????????????????????????????????????????????????????????????
Answer:
dependent
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:
Solve the system of equations.
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:
How many solutions does the system have? y=5+6x y=6x+5
Answer:
Infinitely many solutions
Step-by-step explanation:
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
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
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
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
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:
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:
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)
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
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.
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
section of his field. This situation is shown in the model. What fraction of the
whole field is planted with white corn?
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Fraction of the total that is for corn (TC - Total corn):
[tex]TC=\frac{1}{4}[/tex]
fraction of the corn section that is for white corn (WC - white corn in the corn seccion):
[tex]WC=\frac{3}{5}[/tex]
we need to find the fraction of the whole field that is for the white corn.
For this we need to find how much is [tex]\frac{3}{5}[/tex] out of the [tex]\frac{1}{4}[/tex] destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn ([tex]\frac{1}{4}[/tex]) by the fraction of white corn in the corn section ([tex]\frac{3}{5}[/tex]).
I will call the total fraction of white corn TWC, thus:
[tex]TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}[/tex]
the answer is: [tex]\frac{3}{20}[/tex] of the whole field is planted with white corn