Answer:
yes answer question?
Step-by-step explanation:
Answer:dE (105,infinity)
Step-by-step explanation:
"Find a number which, when added to 3, yields 7"
may be written as:
3 + ? = 7, 3 + n = 7, 3 + x = 1
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
EQUIVALENT EQUATIONS
Equivalent equations are equations that have identical solutions. Thus,
3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5
are equivalent equations, because 5 is the only solution of each of them. Notice in the equation 3x + 3 = x + 13, the solution 5 is not evident by inspection but in the equation x = 5, the solution 5 is evident by inspection. In solving any equation, we transform a given equation whose solution may not be obvious to an equivalent equation whose solution is easily noted.
The following property, sometimes called the addition-subtraction property, is one way that we can generate equivalent equations.
If the same quantity is added to or subtracted from both members of an equation, the resulting equation is equivalent to the original equation.
In symbols,
a - b, a + c = b + c, and a - c = b - c
are equivalent equations.
Example 1 Write an equation equivalent to
x + 3 = 7
by subtracting 3 from each member.
Solution Subtracting 3 from each member yields
x + 3 - 3 = 7 - 3
or
x = 4
Notice that x + 3 = 7 and x = 4 are equivalent equations since the solution is the same for both, namely 4. The next example shows how we can generate equivalent equations by first simplifying one or both members of an equation.
Example 2 Write an equation equivalent to
4x- 2-3x = 4 + 6
by combining like terms and then by adding 2 to each member.
Combining like terms yields
x - 2 = 10
Adding 2 to each member yields
x-2+2 =10+2
x = 12
To solve an equation, we use the addition-subtraction property to transform a given equation to an equivalent equation of the form x = a, from which we can find the solution by inspection.
Example 3 Solve 2x + 1 = x - 2.
We want to obtain an equivalent equation in which all terms containing x are in one member and all terms not containing x are in the other. If we first add -1 to (or subtract 1 from) each member, we get
2x + 1- 1 = x - 2- 1
2x = x - 3
If we now add -x to (or subtract x from) each member, we get
2x-x = x - 3 - x
x = -3
where the solution -3 is obvious.
The solution of the original equation is the number -3; however, the answer is often displayed in the form of the equation x = -3.
Since each equation obtained in the process is equivalent to the original equation, -3 is also a solution of 2x + 1 = x - 2. In the above example, we can check the solution by substituting - 3 for x in the original equation
2(-3) + 1 = (-3) - 2
-5 = -5
The symmetric property of equality is also helpful in the solution of equations. This property states
If a = b then b = a
This enables us to interchange the members of an equation whenever we please without having to be concerned with any changes of sign. Thus,
If 4 = x + 2 then x + 2 = 4
If x + 3 = 2x - 5 then 2x - 5 = x + 3
If d = rt then rt = d
There may be several different ways to apply the addition property above. Sometimes one method is better than another, and in some cases, the symmetric property of equality is also helpful.
Example 4 Solve 2x = 3x - 9. (1)
Solution If we first add -3x to each member, we get
2x - 3x = 3x - 9 - 3x
-x = -9
where the variable has a negative coefficient. Although we can see by inspection that the solution is 9, because -(9) = -9, we can avoid the negative coefficient by adding -2x and +9 to each member of Equation (1). In this case, we get
2x-2x + 9 = 3x- 9-2x+ 9
9 = x
from which the solution 9 is obvious. If we wish, we can write the last equation as x = 9 by the symmetric property of equality.
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
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]
pls explain what the answer is n how u got it pls????????????????????????????????????????????????????????????????????????????????????
Answer:
dependent
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.
Solve the system of equations.
How many solutions does the system have? y=5+6x y=6x+5
Answer:
Infinitely many solutions
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.
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 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)
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]
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:
dress for $20, coupon for 40% off. After using the coupon, what is the sale price of the dress?
Answer:
$12
Step-by-step explanation:
If the dress is $20 and you are taking off 40%, then you are only paying for 60% of the original price.
20x0.6=12
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:
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
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
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
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%
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
which of these following equations solve for x in the two pictures
Answer:
X-14 / 2 = 24
Step-by-step explanation:
X-14 / 2 = 24
X-14 / 2 = 24
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
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:
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 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
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:
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:
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:
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
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]
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!
:)
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