Hey there! :)
Answer:
[tex]g^{-1} (g(10))=10[/tex]
Step-by-step explanation:
Begin by calculating g(10):
g(x) = 3x - 6
Substitute in 10 for x:
g(10) = 3(10) - 6
g(10) = 30-6
g(10) = 24.
Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]
[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]
Simplify:
[tex]g^{-1} (24)=\frac{30}{3}[/tex]
[tex]g^{-1} (24)=10[/tex]
Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?
Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.
Step-by-step explanation:
Here you must remember the relation:
Speed = distance/time.
So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.
We know that:
Sa = Sb + 12mph.
and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:
Sa*T = 141mi
Sb*t = 105mi
we can take the quotient of those two and get:
(Sa/Sb) = 141/105.
now we can replace Sa by Sa = Sb + 12mph.
(Sb + 12mph)/(Sb) = 141/105.
Sb + 12mph = (141/105)*Sb
Sb*(141/105 - 1) = 12mph
Sb = 12mph/(141/105 - 1) = 35mph.
and we know that:
Sa = Sb + 12mph = 35mph + 12mph = 47mph.
How many 4-digit numbers can be formed using only the digits 9, 8 and 7?
Answer:
There are 81 numbers
Step-by-step explanation:
Imagine that you have 4 boxes (one for each digit). In each box, you only have 3 choices for what digit you will do. You have to multiply all of the options (3*3*3*3) and you get 81.
Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info
Answer:
yes, sas
Step-by-step explanation:
12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.
WILL MARK THE BRAINLIEST need answered asapThere are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property? StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction StartFraction 100 times 5 Over 20 times 5 EndFraction = StartFraction 500 Over 100 EndFraction StartFraction 20 times 4 Over 25 times 4 EndFraction = StartFraction 80 Over 100 EndFraction StartFraction 20 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 5 Over 25 EndFraction
Answer:
20% of 25 trees=25*20/100=5 trees.
Step-by-step explanation: i hope this helps
C
:)hope this helps :)
I tried to do this but it makes it wrong :,(
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation:
Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
For more references on the Recursive Formula, click;
https://brainly.com/question/8972906
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Hey guys please help find the area
Answer: 120 inches
Step-by-step explanation: because 12 times 10 is 120
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
Jade and Fred sit on opposite ends of a 16-foot seesaw. Jade weighs 45 pounds
and Fred weighs 50 pounds. Where would Cynthia have to sit to balance the
seesaw if she weighs 30 pounds? (The fulcrum is at the center.)
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.
Answer:
Step-by-step explanation:
You can ask me ıf you don't understand :)
Help me please I need help
Answer:
4 to the power of 8
Step-by-step explanation:
if they have the same base number with a exponent u can add the exponenets together to simplify it but if they dont have the same base number you can not add the exponents together
Answer:
b.
[tex] {4}^{8} [/tex]
Step-by-step explanation:
With the same base you just add the exponents.
Which graph represents the solution to this system of inequalities? y 2x – 4 A. B. C. D.
Answer:
I mean you dont got no graph
Step-by-step explanation:
butttttt.....
The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.
Answer:
Theres no graph
Step-by-step explanation:
How many different 2-digit numbers are there with the following property: each of them has at least one digit 7?
Answer:
18 numbers
Step-by-step explanation:
These are all the two digit numbers with at least one 7.
17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97
Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex]
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it [tex]x\in {R-3}[/tex]
Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]
[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.
Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]
Hence, Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex] is for option D.
Answer:
OPTION D IS NOT CORRECT.
i took the test & selected D and it was wrong.
THE CORRECT ANSWER IS C.
Step-by-step explanation:
What is an equation of the line that passes through the points (-7, -6) and
(-1,0)?
Answer:
equation of line:
y = mx+c
1) find the gradient, m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]
[tex]m = 1[/tex]
2) find y-intercept, c using coordinate (-1,0)
y = mx + c
0 = 1(-1)+ c
-1 + c = 0
c = 1
the equation of line: y = x + 1
For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?
Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of the original investment by 8% each year. In 15 years, Penny hopes to have $40,000 available to make a down payment on a house. How much would she need to invest right now in order to have enough for her down payment in 15 years?
Answer:
Penny would need to put in ~ $18,181.82
Step-by-step explanation:
Using the equation [tex]A = P(1+rt)[/tex]
Where A = the total
P is equal to the starting amount
r is equal to the rate (percent)
and t is equal to the total time.
We can put in:
A = $40,000
r = 0.08 (8%)
t = 15
[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]
Round to the nearest whole cent
P = $18,181.82
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
Answer:
The correct option is D
D) the height of the rock 3.2 seconds after it is propelled
Question:
The question is incomplete as it doesn't say what to find. I know that whole question which is given below
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?
A) the height of the rock 3.2 seconds before it reaches the ground
B) the time it takes the rock to reach the ground, or 3.2 seconds
C) the time it takes the rock to reach a height of 3.2 meters
D) the height of the rock 3.2 seconds after it is propelled
Solution:
h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.
Help, I don't understand
Answer:
5 hours 24 minutes
Step-by-step explanation:
the speed is :279/4.5 = 62 miles per hour (mph)
if he continues on the same speed : 325/62=5 16/62 or 5 hours 24 minutes
hope it works
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.
Answer:
The measure of the angle will be 25°
Step-by-step explanation:
when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.
Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).
The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°. we will get 310. The angles will be 310/2 = 155°. Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.
Answer:
25 degrees
Step-by-step explanation:
justt trust me
Vhen 2.0 moles of magnesium reacts, how many liters of oxygen gas, O2, are needed at STP conditions?
- Mg (3) + O2(g) → 2 Mgo (3)
Answer:
22.4 litres
Step-by-step explanation:
Reaction:
2Mg (s) + O2 (g) → 2 MgO (s)
From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2
STP conditions mean:
absolute temperature of 273.15 K absolute pressure of 1 atmUsing the equation of state for ideal gases:
PV = nRT
where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:
V = nRT/P
V = 1*0.082*273.15/1
V = 22.4 litres
Help please and explain it
i posted this one before but it got deleted somehow
Answer:
2) [tex]\frac{1}{4} c[/tex]
3/4 of the cyclists did not finish, thus 1/4 did.
3) [tex]59-t[/tex]
56 people were on the bus. 3 people got on(56+3=59). Then t people got off(-t)
4) [tex]\frac{G}{30}[/tex]
Out of 30 people, g of the are girls
5) [tex]\frac{16}{c}[/tex]
Out of c people, 16 are boys
Hope it helps <3
Plz help me. Geometry
Answer:
B
Step-by-step explanation:
Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:
5y + 31 = 96
5y = 65
y = 13°
Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:
x² - 18 = 7x
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
x = 9° or -2°
Answer:
Step-by-step explanation:
SINCE IT IS A PARALLELOGRAM,
AB=CD
and B = D
therefore x= 9, y=13
hope it helps
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
4a-5=3 simplify this pleaseeee
Answer:
Hey there!
Given Equation
4a-5=3
Add 5 on both sides
4a=8
Divide by 4 on both sides
a=2
Hope this helps :)
Answer:
a= 2Step by step explanation
4a - 5 = 3
Add 5 on both sides:
4a - 5 +5 = 3 + 5
Simplify
4a = 8
divide both sides by 4
4a/4 = 8/4
Simplify
a = 2
Hope this helps...
Good luck on your assignment..
Which lines have a slope of 1/2?
Answer:
c and d
Step-by-step explanation:
rise/run
for every 2 that c and d progress positive on the x-axis, it only rises 1 on the y-axis
suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 28 when y = 2 A. k=56, y 56/2 B. k = 14 y = x/14 C. k = 56, y = 56x D. k = 14. y = 14/x
Answer: A
Step-by-step explanation:
Given that y varies inversely with x, that is,
y ∝ 1/xyou will introduce constant k when the proportionality constant sign is changed to equality sign.y = k(1/x)when x = 28, y = 2substitute x and y into the formula to get k2 = k(1/28)open the bracket and cross multiplyk = 56substituting k back into equation givesy = 56/xoption A should be the answer. but it wasn't written clearlyIn your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.