Answer:
Step-by-step explanation:
Amanda will record 32 names for the five previous generations.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.
We can write the series as -
Amanda
{M} {F}
{M} {F} {M} {F}
.
.
so on
We can write the sequence as -
2, 4, 8, ....
It is a geometric sequence. For n = 5, we can write -
a(5) = arⁿ⁻¹
a(5) = 2 x (2)⁴
a(5) = 2⁵
a(5) = 2 x 2 x 2 x 2 x 2
a(5) = 32
Therefore, she will record 32 names for the five previous generations.
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PLEASE HELP TIMED
Do you want to install the updates
Understanding Expressions
Assignment
Active
Explaining Algebraic Expressions
o
Describe the parts of this algebraic expression using the
lesson's vocabulary.
-x+102-3x+y
Done
· 00000000
9 of 10
4. Find the value of 8 + 12 + 4 + 6 x 1 + 2. Guys I am doing a test and I need help!!
Chester has a coupon for 1/10 off the price of a shirt. If a shirt originally costs $29.30, what discount would Chester receive from using his coupon?
A. $5.86
B. $0.34
C. $26.37
D. $2.93
Answer:
26.37
Step-by-step explanation:
you change 1/10 too 10 percent then you multiply that too 29.30 and you get 2.93 then you subtract 2.93 from 29.30 and you get 26.37 :)
Which of the following is not true about the inverse of f (x) = = 3x+5
2
Answer Before defining the inverse of a function we need to have the right mental image of function.
Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.
Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.
Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.
g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.
This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.
f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.
Letting f-1 denote the inverse of f, we have just shown that g = f-1.
Definition:
Let f and g be two functions. If
f(g(x)) = x and g(f(x)) = x,
then g is the inverse of f and f is the inverse of g.
Exercise 1:
Return to Contents
Finding Inverses
Example 1. First consider a simple example f(x) = 3x + 2.
The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.
There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.
Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.
The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.
Therefore, f-1(x) = (x - 2)/3.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f-1(x).
Example 2. f(x) = 6 - x/2
Step 1 y = 6 - x/2.
Step 2 x = 6 - y/2.
Step 3 x = 6 - y/2.
y/2 = 6 - x.
y = 12 - 2x.
Step 4 f-1(x) = 12 - 2x.
Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.
Example 3. f(x) = x3 + 2
This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)
Step 1 y = x3 + 2.
Step 2 x = y3 + 2.
Step 3 x - 2 = y3.
(x - 2)^(1/3) = y.
Step 4 f-1(x) = (x - 2)^(1/3).
Exercise 3:
Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer
Step-by-step explanation:
pls brain list
Help pls !!! Answer u don’t have to explain
Answer:
B
Step-by-step explanation:
6 miles............
Which statement best describes the electric field around a positive charge?
A. Pairs of parallel lines with arrows that point inward extend from
the charge
B. Pairs of perpendicular lines with arrows that point outward extend
from the charge
C. Lines with arrows that point outward radiate from the charge in all
directions.
D. Lines with arrows that point inward radiate from the charge in all
directions
Answer:
C. Lines with arrows that point outward radiate from the charge in all
directions.
The statement which best describes the electric field around a positive charge is Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
The four options
Now,
This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.
Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.
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In the diagram, triangle MNO maps to triangle M'N'O'.
Identify the corresponding angles.
Answer:
B and A
.......................
Answer:
M' and N'O'
Step-by-step explanation:
Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well as
one twelfth of the annual property taxes of $3,478.50 and one twelfth of the annual
insurance premium on the property of $1,186. What will the total monthly payment be?
Answer:
its 1,645.32
Step-by-step explanation:
search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32
a dog walks 696 steps in 12 minutes. how many steps in 12 minutes
Answer:
696 steps
Step-by-step explanation:
367589+667556755788654578645
Answer: 667556755788655000000
Step-by-step explanation: braniliest pls
Lacy is given a kite with one diagonal....please click photo to see the question
Answer:
the choice shown is correct. A reflection across diagonal BD.
Step-by-step explanation:
Answer:
your right, its A.
Step-by-step explanation:
An 180 rotation would result it with point C being below point A, not making it congruent. A translation is also not possible. A dilation would do nothing. A relfection on the other hand, would make both sides congruent.
2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+
Answer:
b(2,-2)
Step-by-step explanation:
x= 2 and y=-2
let me know if you want further eplanation
what is a scale? in math
the range for a list of numbers is 7. the smallest value is 4. what is the largest value in the list
Answer:
7
Step-by-step explanation:
The largest value in the list is 11.
What is list?A list is a structure consisting of an ordered set of numbers.
What is the range?"The range is the difference between the smallest and highest numbers in a list."
For given example,
The range for the given list is 7 and the smallest value is 4.
Let R be the range of the list.
⇒ R = 7
Let S be the smallest value in the list.
⇒ S = 4
Let the largest value in the list be L.
⇒ R = L - S
⇒ 7 = L - 4
⇒ L = 7 + 4
⇒ L = 11
Therefore, the largest value in the list is 11.
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A recipe for sparkling apple juice calls for 3 quarts of sparkling water and 2 quarts of apple juice. How much sparkling water would you need to mix with 8 quarts of apple juice? (NC.7.RP.1) *
Answer:
Step-by-step explanation:
12
Investment: Suppose that you and 3 friends bought equal shares of an investment for a total of $20,000 and then sold it later for only $19,600. How much did each person lose?
Please help me
Answer:
$29.4294294294
Step-by-step explanation:
Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)
Answer:
0.71 = 71% probability that she or he used the lab on a regular basis.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Student got an A
Event B: Used the lab on a regular basis.
Probability of an student getting an A:
55% of 40%(go to the lab on a regular basis).
15% of 100 - 40 = 60%(do not go to the lab on a regular basis).
So
[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]
Probability of getting an A and using the lab on a regular basis:
55% of 40%, so:
[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]
Probability that she or he used the lab on a regular basis.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]
0.71 = 71% probability that she or he used the lab on a regular basis.
6(840.25)+15(1,374.05)+9(1.222.43)/30
Answer:
26018.979
yea...
Solve for x. 6/x+ 2/5 = 8
Answer:
15/19
Step-by-step explanation:
6/x +2/5 = 8
(multiply through by x)
6 + 2x/5 = 8x
(minus 8x from both sides)
-38x/5 + 6 = 0
(subtract 6 from both sides)
-38x/5 = -6
(times by -1)
38x/5 = 6
Times 6 by 5 and then divide by 38.
=15/19
[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]
• Given:-[tex]\sf \dfrac{6}{x} + \dfrac{2}{5} = 8[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Value of x.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking L.C.M:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Cross multiplying:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 30 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking x term one side:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{30}{38}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Simplifying the fraction:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, value of x is 15/19.
Use the formula to determine the slope of the line containing the two points (-6,6) and (-3,4)
A. -2/3
B. 7/12
C. -3/2
D. -2/9
the scale on a map is 1:25000. how many km on the ground is represented by 6cm on the map?
Given:
The scale on a map is 1:25000.
To find:
How many km on the ground is represented by 6cm on the map?
Solution:
Let x be the km on the ground.
We know that,
1 km = 1000 m
1 m = 100 cm
So,
1 km = 100,000 cm
x km = 100,000x cm
The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.
[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]
[tex]\dfrac{100,000x}{25000}=6[/tex]
[tex]4x=6[/tex]
[tex]x=\dfrac{6}{4}[/tex]
[tex]x=1.5[/tex]
Therefore, 1.5 km on the ground is represented by 6cm on the map.
PLS HELP !!! I need this question done quick
Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
Answer:
(a. 7) (b. 51)
Step-by-step explanation:
A.
[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]
B.
[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]
(I don't know the numerical values)
Diane has 7 meters of fabric to make a dress. One meter is approximately 1.1 yards. How many yards of fabric does Diane have?
Answer:
7.7 yards & 14.04 gallons
Step-by-step explanation:
so theres 1.1 yards per meter which can be written out as
1.1 yds/1 meter
multiply that by 7 meters would get you 7.7 yards
same with the punch:
0.26 gallons/ 1 liter times 54 liters = 14.04 gallons
Lucy has a homework assignment and she must solve the equation
-7x + 2 = 51.
Answer:
x = -7
Step-by-step explanation:
-7x + 2 = 51
-7x = 51 - 2
-7x = 49
x = -7
Insta: 25k_kem. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
Find 9079 + 1232 + 9786.
What percent is 45 out of 70
I’m so sorry to bother you guys I have been stuck on this problem
Please someone help me ASAP
Answer:
A
Step-by-step explanation:
FV=PV(1+i)^t
2500(1+.03)^4
A
Answer:
A
Step-by-step explanation:
It is the only one that shows 3% = 0.03 which is correct.
Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm
Answer:
The enlarged picture will have a width of 35.8 cm
Step-by-step explanation:
We can solve this question by proportions, using rule of three.
When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?
15 cm - 14.5 cm
37 cm - x
Applying cross multiplication
[tex]15x = 14.5*37[/tex]
[tex]x = \frac{14.5*37}{15}[/tex]
[tex]x = 35.8[/tex]
The enlarged picture will have a width of 35.8 cm
Answer:
36.25 cm
Step-by-step explanation:
37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.
I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)
