Original: y = 3^x
---To find the inverse, switch the x and y, then solve for y.
Inverse: x = 3^y
---Take the log base 3 of both sides to get y by itself
Answer: [tex]log_{3}(x) = y[/tex]
[tex]y = log_{3}(x)[/tex]
Hope this helps!
3x+4=25 what does x stand for
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
3x-10=16+10
Solve.
This is easy.
Answer: X = 12
Step-by-step explanation:
Which figures demonstrate a single translation?
Select each correct answer.
Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation. As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
Given-Given option shows the different translation and rotation of the original figure. It has to be known about the translation before checking the correct option.
What is translation?Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation.
In option 1 the object flips to the opposite side of the figure figure. Thus the option 1 does not demonstrate the single translation.In option 2 (right to the first option) the figure flips to the opposite side of the original figure and then translate to other location. Thus the option 2 does not demonstrate the single translation.In option 3 (below the first option) the figure moves to southeast direction to its position. Thus the option 4 demonstrate the single translation. Therefore option 4 is the correct option.In option 4 the figure moves to right from its location. Thus the option 3 demonstrate the single translation. Therefore option 3 is the correct option.As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
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Anthony painted 2 triangles of the same size on the top corners of his house
for Sports Day. What is the total area of both triangles?
16 cm
16 cm
24 cm
Answer:
256cm
Step-by-step explanation:
I'm assuming 16 and 16 are the 2 legs of the triangle.
The equation to get the area of a triangle is b x h /2
16cm x 16cm / 2 = 128cm
128cm x 2 triangles = 256cm
A triangle has sides with lengths of 5 kilometers, 12 kilometers, and 13 kilometers. Is it a
right triangle?
Answer:
Yes
Step-by-step explanation:
Because when you draw it u get a right angle
find the difference between 0.1kg and 75kg
Answer:
25 gm
Step-by-step explanation:convert kg in gr
therefore
0.1 * 1000 = 100 gm
now take difference :-
100 - 75 = 25 gm
Yesterday the price of a can beans at five supermarkets was $2.02, $2.11, $1.99,$2.32, and $2.26, respectively but today each supermarket raised it's price by $0.10. what today's mean price of a can of beans at five supermarkets?
a.2.14
b.2.34
c. 2.24
d.2.04
Answer:
the answer is C
Step-by-step explanation:
add them all together with the 0.10C increase which gives you 11.2 then divide by the number of different beans which is 5 and it gives you 2.24
22 out of the 55 teachers in a
school staff meeting were first-year
teachers. What percentage of the
teachers in the meeting were first-
year teachers?
Answer:
40%
Step-by-step explanation:
Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.
Math
please help? ;c
Answer:
Answer below :)
Step-by-step explanation:
128 = $76.20132= $77.80134= $78.60144= $82.60
Answer: 128 = $76.20132= $77.80134= $78.60144= $82.60
7th grade math probability
Super easy
(Look at picture)
Answer:
2/6 chance of landing on 2 or 3
Step-by-step explanation:
Which of the following equations defines a line that passes through the points begin ordered pair negative 2 comma 7 end ordered pair and begin ordered pair 6 comma negative 9 end ordered pair?
The linear equation that passes through points (-2,7) and (6,-9) is given by:
y = -2x + 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through points (-2,7) and (6,-9), hence the slope is given by:
m = (-9 - 7)/(6 - (-2)) = -2.
Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:
y = -2x + 3.
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All of the following equations are true except?
1
Select the correct answer.
If function g has the factors (x-7) and (x + 6), what are the zeros of function g?
OA.
-7 and 6
OB. -6 and 7
OC. 6 and 7
OD. -7 and-6
Reset
xt
The zeroes of the function g will be 7 and negative 6. Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
If function g has the factors (x-7) and (x + 6).
Then the zeros of function g will be
For the zeroes of the function, then put the factors equal to zero. Then we have
x - 7 = 0 and x + 6 = 0
x = 7 and x = -6
Then the zeroes of the function g will be 7 and negative 6. Then the correct option is B.
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34. What are the signs and symptoms of MERS?
Answer:
People with MERS may experience a fever, cough, or shortness of breath. They may also experience chess pain, fatigue, chills, loss of appetite, body aches, diarrhea, nausea, vomiting, congestion, sneezing, headaches, or a sore throat.
Step-by-step explanation:
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
Nina used 2 litres of paint to paint a wall.
The wall was a rectangle 2 metres high and 4 metres wide.
How many litres of paint would she need to paint a rectangular wall which is
2.5 metres high and 8 metres wide?
Veronica is running in a charity run. She raised d dollars for the charity
by asking people to sponsor her. On average, each person gave $28.
If Veronica had 12 people sponsor her, what was the total amount she
raised?
Answer:
$336
Step-by-step explanation:
On average each person gave $28 dollars, if 12 people sponsored her, what did she raise?how to find this is very simple, she raised d =(total amount of money raised) in dollars, average means we assume that with any amount of people one person gave 28 dollars each.
Our problem would read out to be d(total amount she raised) is equal to $28 times x(amount of people who sponsored her) or d = 28 * x
If 12 people sponsored her
original equation:
d = 28 * x
equation with x known(12 people)
d = 28 * 12
to solve all we do is multiply 28 times the amount of people who sponsored her, in this case, its 12.
d = 336
we know that if 12 people sponsor her d, or the total amount she raised, is equal to $336
HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or Cheops, a king of ancient Egypt. The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.
Answer:
138, 460 m²
Step-by-step explanation:
How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
w = 70
Step-by-step explanation:
I use the angle ABC method:
angle ABC + angle ACB + angle BAC = 180°
(w - 1)° + 73° + (w - 32)° = 180°
w = 70
HOPE THIS HELPS AND HAVE A NICE DAY <3
Please help me with this thing please
Samuel is trying to construct the inscribed circle of a triangle.
However, all he can remember is the first step: Use angle bisectors
to find the incenter. What is the next step he needs to do to
complete the construction?
The next step to complete the construction will connect the in-center to one of the sides of the triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
Samuel is trying to construct the inscribed circle of a triangle.
Using the angle bisectors to find the in-center.
Where two angles bisector meets, the point called in-center.
Next step will be: connect the in-center to one of the sides of the triangle.
Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.
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A pair of shoes cost $92. What would be the total cost with 7% sales tax
Answer:
$98.44
Step-by-step explanation:
take $92 x .07 = $6.44 (tax amount)
$92+$6.44=$98.44
given h(x) = 7x^2 -45x + 12, find h(x) = 18. help!! please explain and show work.
The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.
What is quadratic formula?Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,
ax²+bx+c=0
For the above equation, the quadratic formula can be given as,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The equation of variable x is given as,
h(x) = 7x²-45x + 12,
The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.
18 = 7x²-45x + 12
0= 7x²-45x + 12-18
0=7x²-45x -6
Find the roots of the equation using the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]
Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.
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x+y=1
3y=-3x+3
I don't know how to do this, I have tried everything, please help.
[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
Select the correct answer.
What is the range of this function?
у
5
4
3
2-
2
1
5
-4
-
-3
-2.
1
Х
1
2
-1
-1
3
ܕܬ
4
5
-2
-3
-4
5
.
O A.
-
B. -00
C. -1 < y < oo
D. 4 Sy < 0
Answer:
good luck passing
Step-by-step explanation: -3 -2 1 x 1 2
2xy - 3x2y2 + 2xy +5x2y2
In the data set below, what is the interquartile range?
18 20 27 35 36 39 67 72 74 81 87
SOMEONE PLEASE ANSWER THIS ASAP PLEASE
Step-by-step explanation:
69 bc it is the difference between the largest number and the smallest number
Gina pays $0.50 ecah time she plays a carnival game. The game is on a spinner with 12 equal sized sections labled 1 through 12. she wins a prize if the pointer lands 3,5 or 7. If gina spends $4 playing the game, predict the number of prizes she can expect to win
Answer:
Two
Step-by-step explanation:
3,5 or 7 out of possible 12 spins
3 / 12 of the time she will win
$ 4 is 8 spins
8 spins * 3/12 = 2 wins
ANSWER
2 prizes
Step-by-step explanation:
$4 ÷ $0.5 = 8
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
5+7 = 12
3/12
P(win) = 3/12 simplified is 1/4
(1/4) × (8) = 2
Therefore, the answer is two prizes
The Math Campers are grouped into groups with 9 members each. Each group is asked to form a circle and they will be sitting on the ground. If the seating arrangement is circular, in how many possible ways can the 9 members be seated?
A. 40320
B. 362880
C. 5040
D. 720
Answer:
B. 362880
Step-by-step explanation:
! means permutation which means
arrangement of people or things in
sequence or
linear order
9! = 362880
9! = 9*8*7*6*5*4*3*2*1 = 362880
Surface area of chili deer
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]