Answer:
a) 9^2
b) 9^(1/2)
c) 9^(3/2)
Step-by-step explanation:
It is perhaps easier to start by using 3^n.
3 = 3^1
27 = 3^3
81 = 3^4
Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).
a) 81 = (9^(1/2))^4 = 9^2
b) 3 = 9^(1/2)
c) 27 = (9^(1/2))^3 = 9^(3/2)
Answer:
(a) 9^2
(b) 9^0.5
(c) 9^1.5
Step-by-step explanation:
We need to find n such that 9^n = value indicated.
Recall that n=2 is a square, so
(a) 9^2=9*9=81
Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so
(b) 9^0.5 = 3, because 3*3 = 9
Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).
Therefore,
(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5
How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)
Answer:
With 3 dots, you can only draw 1 triangle.
Step-by-step explanation:
All Triangles must have 3 sides, and 3 angles.
Note:
Pls, brainliest.
Thank you!
Screen Shot 2021-05-25 at 9.56.13 AM
Answer:
where is the question
have a good day :)
Step-by-step explanation:
Yh Helllpppp I will give brainliest!
Step-by-step explanation:
TSA = 3543.72 hope its helpfull
please help me out with this equation!
i will mark you as brainliest
Answer: Choice B
vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry: x = 3========================================================
Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
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The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
--------
On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
--------
The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
Emily earns $15 for each car she washes. Create an equation to represent the relationship between the numbers of cars washed c, and the amount, in dollars,Emily earns,m. HELP!!
Answer:Im not sure but btw the state test just is on how your teacher teach you and the school if u do bad it affects the school but don’t purposely not try this is what i put for the answer
Step-by-step explanation:10c 15m hopw it helps!
d1=3.5in;d2=18in.
what is the area of the rhombus
Answer:
Area = 31.5 squared inches
Step-by-step explanation:
I am assuming d1 and d2 diagnol lengths, so if that's true, then answer would A=(d1*d2)/2 (3.5*18)/2 = 63/2 = 31.5 squared inches
what two numbers multiple to -48 & add to -8
Answer:
-12 and 4
Step-by-step explanation:
-12 x 4 = 48
and
-12 + 4 = -8
Answer:
-12 and +4
Step-by-step explanation:
-12 * 4 = - 48
-12 + 4 = - 8
What do cos and sin mean?
Answer and Step-by-step explanation:
These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.
They are functions revealing the shape of a right triangle.
Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.
Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.
#teamtrees #PAW (Plant And Water)
. What is the volume of a storage box that is 18 inches long, 6 inches high, and 10 inches wide? Write the formula and the correct answer. (Remember the answer will be inches)
Answer:
1080 in.³
Step-by-step explanation:
The answer is in cubic inches, not inches.
V = LWH
V = (18 in.)(10 in.)(6 in.)
V = 1080 in.³
Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
PLS HELP!!!
Using the Pythagorean theorem if necessary please round your answer to the nearest 10th
1. a=7 and b=10 find C the missing side length
2. b=12 and c=13 find A the missing side length
3. A=4 and b=10 find C the missing side length
What is the answer? {y=2x−6 y=5x−21
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
y=2x-6
y=5x-21
--------------
2x-6=5x-21
2x-5x-6=-21
-3x-6=-21
-3x=-21+6
-3x=-15
3x=15
x=15/3
x=5
y=2(5)-6
y=10-6
y=4
Find the value of each variable.
a
59
72
A. a = 59°; b = 49°; c = 72°; d = 98°
B. a = 59°; b = 52°; c = 72°; d = 96°
C. a = 118°; b = 49°; c = 144°; d = 98°
O
D. a = 118°; b = 49°; c = 72°; d = 98°
Answer:
[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]
Step-by-step explanation:
[tex]a=2(59)\\\\a=118^o[/tex]
---------------
[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]
---------------
[tex]C=2(72)\\\\C=144^o[/tex]
----------------
[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]
--------------------
hope it helps...
have a great day!!
Solve the equation d divided by 1.2 is equal to 6 PLS HELPP
Answer:
The answer is 7.2.
Step-by-step explanation:
Have a great day.
Answer:
d = 7.2
Step-by-step explanation:
all you have to do is multiply 1.2 by 6 to get your answer
[tex]1.2 \times 6 = 7.2[/tex]
Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
Answer:
4 minutes
Step-by-step explanation:
I will use ratios for this equation:
[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]
It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.
Can someone help!!!?
Answer:
f^(-1)(x) = 1/5x
Step-by-step explanation:
[tex] \large{f(x) = mx + b \longrightarrow f^{ - 1} (x) = \frac{x - b}{m} }[/tex]
Inverse Function is when we swap the x-term and y-term. Here is an explanation to the inverse of linear function above.
[tex] \large{f(x) = mx + b}[/tex]
Here we define f(x) = y. It is better to use y instead of f(x)
[tex] \large{y = mx + b}[/tex]
Swap x-term and y-term.
[tex] \large{x = my + b}[/tex]
Arrange/Simplify in the y-isolated equation.
[tex] \large{x - b = my} \\ \large {\frac{x - b}{ m} = y} \\ \large{ y = \frac{x - b}{m} }[/tex]
Since the function is in inverse form. It's recommended to use f^(-1) to point out that the function is an inverse of the original function.
[tex] \large \boxed{ {f}^{ - 1} (x) = \frac{x - b}{m} }[/tex]
Hence, y = (x-b)/m is an inverse of y = mx+b. A one-to-one function can have an inverse form. Back to the question!
We are given the linear function:
[tex] \large{f(x) = 5x}[/tex]
We will be using substitution method by substituting the original function in inverse form.
Since we know that the slope is 5 and doesn't have y-intercept which is b-value. Hence
[tex] \large{ {f}^{ - 1} (x) = \frac{x - 0}{5} } \\ \large{ {f}^{ - 1} (x) = \frac{x }{5} } \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]
Or we swap x-term and y-term.
[tex] \large{f(x) = 5x} \\ \large{y = 5x} \\ \large{x = 5y} \\ \large{ \frac{x}{5} = y} \\ \large{y = \frac{x}{5} = \frac{1}{5} x} \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]
2) Triangle ABC has three sides that all measure 7 feet. What is the measure of Angle B? 3)
Answer:
60
Step-by-step explanation:
Answer:
60°
Step-by-step explanation:
Give the trigonometric ratio as a fraction:
Tan Z
X
24
26
Y
10
z
Answer:
your answer is B
Step-by-step explanation:
Answer:
24/ 10
Step-by-step explanation:
We know,
tan θ = opposite/adjacent
∴ tan Z = 24/ 10
5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions
Answer:
answer is in the picture
Someone pls help me!!!!
Answer:
J) 2r⁴s⁴
Step-by-step explanation:
if you know the area and the base, you can divide them to find the height
16r⁸s⁶ ÷ 8r⁴s² = 2r⁴s⁴
Solve for 2. Round to the nearest tenth, if necessary.
Answer: the answer is 51.41281
Step-by-step explanation:
Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281
hey i’ll give brainliest please help
Answer:
Fossil fuel resources are plentiful in areas that had certain types of ecosystems millions of years ago.
Step-by-step explanation:
Answer Choice 1. Incorrect. Minerals can be found all over the world in the crust of the earth, but generally in such small quantities that they are not worth extracting.
Answer Choice 2. Correct. Fossil fuels can be found more in areas that had a lot of plant growth because, after a long time, the heat and pressure changed the plants into fossil fuels.
Answer Choice 3. Incorrect. Minerals, fresh water, and biosphere resources are distributed unevenly around the planet as a result of past geologic processes.
Answer Choice 4. Incorrect. It depends more on the geological processes to produce large mineral deposits compared to the location of where they are.
HELP THIS IS DUE TOMORROW!!!!
Answer:
The answer is 1,136
Answer:
20/89
Step-by-step explanation:
The question wants the student from Gryffindor. So we will take the total of the Gryffindor student only is 178
Then they want the student who has owl then is 40.
So you use 40/178
And get the simple fraction 20/89
Helpppppppppppppppppppp
Answer:
10 games for $25
Step-by-step explanation:
level up: y = 1.5x + 10
infinity arcade: y = 2x +5
x = # of games
1.5 (10) + 10 = 2 (10) + 5
15 + 10 = 20 + 5
25 = 25
Linear Equation
24 + 6a = 6 - 4a
Please help me with this ASAP
Answer:
Step-by-step explanation:
1. Combine Like Terms
24 + 6a = 6 - 4a
+4a +4a
24 + 10a = 6
-24 -24
10a = -18
___ ___
10 10
a= -1.8
Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?
Answer: 35 cupcakes!
Step-by-step explanation:
Need help on this ASAP
Answer:
its attatched
A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function
Answer:
The slope is meant to show the relationship between the x(number of days) variable and the y (total number of customers) variable.
When the number is positive, it means that both x and y move in the same direction which means that as x increases, so does y.
When this number is negative, it means that hen x increases, y decreases.
In this scenario therefore, as the number of days increases, the total number of customers decreases.
Ali bought 20 dozen oranges 10% of them were rotten. How many oranges were good ?
Answer:
Step-by-step explanation:
rotten oranges=10/100*20
200/100
2 dozen
good oranges=total dozen-rotten oranges
20-2
18 d0zen were good oranges.
Divide. Reduce your answer to lowest terms.
5 and 5/7 divided by -5
Answer:
-1 and 1/7
Step-by-step explanation:
one way
5 and 5/7 = ((5*7)+5) / 7 = 40/7
(40/7 ) / -5 = (40/7) * (-1/5) = -40/35 = -1 and 5/35 = -1 and 1/7
another way
(5 and 5/7) / -5 = 5/-5 and (5/7) * (1/5) = -1 and 1/7