Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{4}) ^{2}[/tex] can also be written as [tex](\frac{1}{4} )(\frac{1}{4} )[/tex]
So the answer is just [tex]\frac{1}{16}[/tex]
PLS HELP QUICKLY
Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³
Answer: B
[tex]f(x) = 7x-2[/tex] and [tex]g(x) = \frac{x+2}{7}[/tex]
How to solve:
check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)
f[g(x)] = x
g[f(x)] = x
Step-by-step explanation:
Checking A.
[tex]f(x) = \frac{5}{x} -2[/tex]
[tex]g(x) = \frac{x+2}{5}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2[/tex]
This does not equal x, so we know these are not inverses
Checking B.
[tex]f(x) = 7x-2[/tex]
[tex]g(x) = \frac{x+2}{7}[/tex]
[tex]f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x[/tex]
[tex]g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x[/tex]
since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.
Which inequality has a solid boundary line when graphed?
Y<-x-9
y<1/9x+9
y>-1/9x
y >9x+9
Inequalities are expression not separated by an equal sign. None of the inequality is correct since there is absence of equal sign.
Graph of inequalitiesInequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.
An inequality that will have solid boundary line must include only the less than or equal to sign < or greater than or equal to > sign.
From the option given, none of the inequality is correct since there is absence of equal sign.
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Find the volume of cone pictured below. Use 3.14
for T. Round your answer to the nearest
hundredth.
8 yd
8 yd
In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)
[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]
i need the answer asap
Answer:
It b(4) because if you time 3 times 4 it equals 15.
Step-by-step explanation:
Can someone give me the steps to solving this?
Answer:
[tex]\tan \theta = \dfrac{8}{15}[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}[/tex]
[tex]\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}[/tex]
A jewelry store has 88 rings to display they arrange the rings in a even rose how many rings are in each row
Answer:
2,4,8,11,22, or 44
Step-by-step explanation:
To figure out how many rings would be in each full row with no leftovers, we need to find all the factors of 88 (outside of 1 and 8) which are 2,4,8,11,22, and 44. Since the question does not give any more information on how big the rows need to be, I can't narrow this down any further, however if I had to choose I would say rows of 8 by 11 would be the best.
Hope this helps! :)
AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96
Answer:
BStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseWhich set of ordered pairs represents a function
Answer:
C: is a function because each input (x) has exactly one output( y).
Step-by-step explanation:
A function is when one input (x) has exactly one output (y).
A: is not a function because -4 is paired with two different y values.
B: is not a function because -4 is paired with two different y values.
C: is a function because each input (x) has exactly one output( y).
D: is not a function because -1 is paired with two different y values.
Is cos²α the same thing as cosα²?
Answer:
No, it is not the same thing.
Step-by-step explanation:
Hope this helps!
Why is y=-2x considered a function?
because there are values of y that correspond to more than one value of x.
because x is bigger than y.
because the value of y corresponds only to one value of x.
because y is bigger than x.
Yes
Step-by-step explanation:
its a direct-variation function
A bag contains 42 red, 45 green, 20 yellow, and 32 pirple candies. You pick one camdy at random. Find the probability that it is green.
Answer:
[tex]\text{P(green)} =\frac{45}{139}[/tex]
Step-by-step explanation:
The total number of candies is :
= 42+45+20+32
= 139
Then
we have 45 green out of 139 candies.
Then
[tex]\text{P(green)} =\frac{45}{139}[/tex]
Note : 45/139 is already simplified.
The nearest hundred to 83,752,245 is?
Answer:
83,752,000
Very positive with this answer
Answer:
83,752,200
Step-by-step explanation:
please give me brainlist
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving.
part A:Find D(12) and interpret the meaning in the context of the problem.
part B: If D(t)=2490, find the value of t and interpret its meaning in the context of the problem.
Considering the given function, we have that:
a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.
b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.
What is the function in this problem?The distance that the family is from home, after t hours of driving, is given by:
D(t) = 3260 - 55t.
Then, after 12 hours, the distance is given by D(12), that is:
D(12) = 3260 - 55 x 12 = 2600.
D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.
D(t)=2490, hence:
3260 - 55t = 2490
55t = 770
t = 770/55
t = 14
D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.
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The compound interest formula can be rewritten as
P = A/(1 + r/n)nt.
Find the principal P that you need to invest on the day your child is born at 4.2% annual interest compounded quarterly to make your child a millionaire on his or her 21st birthday. (Round your answer to the nearest cent.)
Answer:
Compound interest, or 'interest on interest', is calculated using the compound interest formula.
The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.
Step-by-step explanation:
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
Answer:
125.6 in²
Step-by-step explanation:
Area shaded :
2 × Sector (72°)2 x πr² x θ/3602 x 3.14 x 100 x 72/3606.28 x 100 x 1/520 x 6.28125.6 in²Help please i need this
Answer:
i can't see the question i would love to help though
Step-by-step explanation:
Choose the best definition for the following phrase: combining like terms (1 point)
Group of answer choices
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
A process where you must look for terms that have identical variable parts and then combine their coefficients
Step-by-step explanation:
Combining like terms is adding or subtracting terms that have the same variable parts.
Answer: A process where you must look for terms that have identical variable parts and then combine their coefficients
x⁶y⁴/xy²
how would I simplify?
Answer choices:
A: x⁵y²
B:x⁶y²
C:x²y⁵
D:(xy)⁷
Step-by-step explanation:
please mark me as brainlest
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer: 6.64
Step-by-step explanation:
[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]
Perform the indicated operation
Answer:
Step-by-step explanation:
Please help it’s easy, State the property that is used. 10=10•1
The property identity of multiplication is applied in the given statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFrom the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.
The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.
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What are the x-intercepts of the following graph?
1
2 3 4
+
3
G
3
&
a. (0, 2) and (0, -2)
b. (0,4)
c. (2,0) and (-2, 0)
d. (1, 0) and (3, 0)
Answer:
c (2,0) and (-2,0) I hope ot helps
that’s the question
Answer:
all real numbers
ez clappp
A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per pound, and the cost of the nuts is $2.00 per pound. The total cost to make the trail mix is $225. If the total cost can be represented by the equation 2.5x+2y=225, what does the term 2.5x represent?
evaluate f(x) = 3/6x+6 when x = -1
a) undefined
b) 0
c) 3
d) 3/36
Answer:
a) Undefined.
Step-by-step explanation:
[tex]f(x) = \dfrac 3{6x+6} = \dfrac{3}{6(x+1)} = \dfrac{1}{2(x+1)}\\\\\\f(-1) =\dfrac{1}{2(-1+1)}= \dfrac{1}{0}[/tex]
please explain how to do this
Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 25 customers.
Write a system of equations
The system of equations that models the given situation is given as follows:
x + y = 25.15x + 25y = 475.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of single lawns cut.Variable y: Number of front and back lawns cut.He had 25 customers, hence:
x + y = 25.
He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:
15x + 25y = 475
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Please help me with this
Answer:
65.9 ft
Step-by-step explanation:
The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.
__
third angleThe sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...
angle C = 180° -75° -60° = 45°
ground distanceThen the distance between Amaya and Rochelle (c) is ...
c/sin(C) = r/sin(R)
c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)
c ≈ 65.8846
Amaya and Rochelle are about 65.9 feet apart.
If Q, DE=FG. Which must be true? Select all that apply.
Answer:
A and E
Step-by-step explanation:
A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.
but this does not tell us anything about EF.
E and F could be very close together or far apart, and still DE = FG can be true in either case.
and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.