Answer:
[tex]\sqrt[10]{77}[/tex]
Step-by-step explanation:
[tex]77^\frac{1}{10}[/tex] is the same as [tex]\sqrt[10]{77^1} ,[/tex] or simply [tex]\sqrt[10]{77}[/tex]
77^1/10 can be written as [tex]\sqrt[10]{77}[/tex]
what is representation of root?The principal nth root of a is written as n√a , where n is a positive integer greater than or equal to 2. In the radical expression, n is called the index of the radical.
A radical symbol √ is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.
We have that [tex]77 ^ {1/10}[/tex].
Now, if we have given that √4 we can write it as [tex]\sqrt[2]{4}[/tex]
Again, if we have [tex]7^{1/3}[/tex] we can write it as [tex]\sqrt[3]{7}[/tex]
Similarly we can write 77^1/10 as [tex]\sqrt[10]{77}[/tex]
Learn more about root representation here:
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Are the points (3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3) a function?
Answer:
No, The domains of a same number are said twice.
Step-by-step explanation:
If it is the range (y) it doesn't matter twice or not.
Answer:
The given relation is not a function.
Step-by-step explanation:
Given the relation: {(3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3)}
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).
We need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)? In this case, the answer is no. The input value (x = 31) goes with two output values, 6 and 3. It only takes one input or x-value to associate with more than one output value to be invalid as a function.Another way to find out whether a relation or a set of given points represent a function through the Vertical Line Test. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
To use the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given set of points, every vertical line intersects the graph in at most one point, except for the x-value = 31, where the vertical line contains two points (in red dots) in it: (31,6) and (31,3). The given graph fails the Vertical Line Test, which means that it is not a function.
Attached is a screenshot of the graph where I performed the Vertical Line Test.
Please mark my answers as the Brainliest if you find my explanation helpful :)
Solve the following question:
Answer:
x = 2, x = 8
Step-by-step explanation:
reminder that f'(x) = [tex]m_{tangent}[/tex]
Differentiate f(x) term by term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
f(x) = [tex]\frac{1}{3}[/tex] x³ - 5x² + 2x + 10
f'(x) = x² - 10x + 2
Equating f'(x) to - 14
x² - 10x + 2 = - 14 ( add 14 to both sides )
x² - 10x + 16 = 0 ← in standard form
(x - 2)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 8 = 0 ⇒ x = 8
If a 50 kg object is at a location 25,600 km from Earth’s center, what is the gravitational force exerted by the object on Earth? In what direction does that force act?
Answer:
Approximately [tex]30\; \rm N[/tex] toward the center of the object.
Step-by-step explanation:
Look up the gravitational constant and the mass of the earth:
[tex]\begin{aligned}G &\approx 6.67 \times 10^{-11}\; \rm m^{3} \cdot kg^{-1} \cdot s^{-2} \\ &= 6.67 \times 10^{-11} \; \rm N \cdot m^{2} \cdot kg^{-2}\end{aligned}[/tex].
[tex]M \approx 5.97 \times 10^{24}\; \rm kg[/tex].
Convert the unit of distance to standard units:
[tex]\begin{aligned}r &= 25600\; \rm km \\ &= (25600 \times 10^{3})\; \rm m \\ &= 2.56 \times 10^{7}\; \rm m\end{aligned}[/tex].
Consider two spherical objects with mass [tex]m_{1}[/tex] and [tex]m_{2}[/tex]. Let [tex]r[/tex] denote the distance between the centers of the two objects. By Newton's Law of Universal Gravitation, the size of the gravitational force between these two objects would be:
[tex]\begin{aligned}F &= \frac{G \cdot m_{1} \cdot m_{2}}{r^{2}}\end{aligned}[/tex].
Thus, the size of the gravitational force between this object and the earth would be:
[tex]\begin{aligned}F &= \frac{G \cdot m \cdot M}{r^{2}} \\ &\approx \frac{1}{2.56\times 10^{7}\; \rm m} \\ &\quad \times 6.67 \times 10^{-11}\; \rm N \cdot m^{2}\cdot kg^{-2} \\ &\quad \times 50\; \rm kg \times 5.97 \times 10^{24}\; \rm kg \\ &\approx 30\; \rm N\end{aligned}[/tex].
Since gravitational force is attractive, the [tex]50\; \rm kg[/tex] object in this question would attract the earth through the gravitational force. Thus, this force would point towards the center of this [tex]50\; \rm kg\![/tex] object.
Which of the following graphs can be used to find the solution(s) to x2 - 4x + 3 = 0?
Nicole is making tuna salad for her office colleagues. It takes 2/5 of a pound of canned tuna to make 5 portions of salad. She uses 6/5 pounds of canned tuna for every 2 onions used.
If Nicole uses a total of 4 onions, then how many portions of salad does she make?
A.
30 portions
B.
25 portions
C.
35 portions
D.
15 portions
Answer:
She makes 30 portions.
Step-by-step explanation:
To find, you would multiply the amount of tuna you need by the number of onions nicole used.
6/5x2 = 12/5
12/5 ÷ 2/5 = 6
6x5 = 30
She makes 30 portions.
6 (y-8)=6
I think it’s 9 I’m not sure
Answer:
y = 9
Step-by-step explanation:
6 (y-8)=6
Divide each side by 6
6/6 (y-8)=6/6
y-8 = 1
Add 8 to each side
y-8+8 = 1+8
y = 9
Answer:
Yep
Step-by-step explanation:
undo in reverse order-
first, divide the six, then, add the eight
good luck with your math :)
Find the number described. What number is 16% of 70?
Answer:
58.8
Step-by-step explanation:
multiply 16% by 70 then substract your answer by 70
The Number from 16% of 70
Solution[tex]16\% of \:70 \\ \\ = \frac{16}{100} \times 70 \\ \\ = \frac{16}{10} \times 7 \\ \\ = \frac{112}{10} \\ \\ = 11.2[/tex]
[tex] \fbox \red{Hope This Helps}[/tex]
1/4*1/8÷1/3÷1/6-3/4+1/2
1/4*1/8÷1/3÷1/6-3/4+1/2 = 0.3125
- BRAINLIEST answerer ❤️✌
Answer:
0.3125
Step-by-step explanation:
(((((1/4*1) /8) ÷(1/3)) ÷(1/6)) -(3/4) +(1/2)
If Ann is traveling at 120 km/hr, what
distance does she travel in 10 minutes?
Answer:
20 km
Step-by-step explanation:
120 km an hour = 120 km in 60 minutes
120 = 60
x = 10
120/60 = 2
10*2 = 20
Answer:
20 km.
Step-by-step explanation:
120 km per hour.
An hour is 60 minutes.
To get from 60 to 10, divide 6.
Likewise, to find the distance travelled in 10 minutes, divide 120 by 6.
[tex]\frac{120}{6}= 20[/tex]
Therefore, Ann travels 20 km in 10 minutes.
f(x)=x+2,
g(x)=3x²-5,
find (f* g)(x)
What inequality represents each verbal expression?
a all real numbers x greater than 2
b. 6 more than a number k is less than or equal to 12
O
A a. x<2
b. k +6 <12
o
B. a.x>2
b.k+6 s 12
O Cax2 2
b.k +6 > 12
O D. a.xs2
b. k + 6 2 12
Step-by-step explanation:
a.) All real numbers x greater than 2
===> X > 2
b.) 6 more than a number k is less than or equal to 12
===> 6+k =< 12
The length of a rope (r) is less than 15 feet. Which number sentence describes the length of the rope?
Answer:
r < 15 feet
Step-by-step explanation:
It's in the answer bro.
(MARK ME BRAAINLIEST)
8^12/8^9=8^?-^?=?^? pls hurry im so puzzled my brain hurts
Answer:
[tex]\frac{8^{12} }{8^{9} }=8^{12-9}=8^{3}[/tex]
Step-by-step explanation:
Mario is looking for the dimensions of the rectangular garden that has an area of 14m²and a perimeter of 18 meters
Answer:
when x = 2, y=7
when x= 7, y= 2
x is length and y is width of rectangle
9. Rashida bought 4 tickets to a concert for $80. At this rate, how much would 5 tickets cost?
Number of Tickets
4.
5
Money Spent (5)
80
Answer:
$100
Step-by-step explanation:
4 tickets cost $80.
We divide $80 by 4 to find the cost of 1 ticket.
$80/4 = $20
1 ticket costs $20.
Now we multiply $20 by 5 to find the cost of 5 tickets.
5 * $20 = $100
Answer: $100
To get the 10% discount, a shopper must spend more than $500.
Use d to represent the spending (in dollars) of a shopper who gets the discount
Answer:
d[tex]\geq[/tex]$500
Step-by-step explanation:
To get the 10% discount, a shopper must spend at least $500
so 'd' represents the spending (in dollars) of a shopper who gets the discount
The value of d must be greater than or equal to $500
d[tex]\geq[/tex]$500
[tex]1+2x=4x+9[/tex]
Answer:
x= -4
Step-by-step explanation:
=> 1+2x= 4x+9
=> 1-9=4x-2x
=> -8 = 2x
=> x = -8/2
=> x= -4
hope it's helpful to you ☺️
Answer:
x = -4
Step-by-step explanation:
1+2x=4x+9
1-9=4x-2x
> -8 = 2x
=> -8/2 = x
=> -4 = x
Order the integers from greatest to least.
f. 4, -4, 6,-8, O
Answer:
6, 4, 0, -4, -8
Step-by-step explanation:
Plz help fast
I will mark Brainlyist
Answer:
∆ANT≅∆FLE
SSS Congruency Theorem
Answer:
∆ANT≅∆FLE
SSS Congruency Theorem
Step-by-step explanation:
To win a trivia game, Nevan must score 90 points.
Each correct answer is worth 12 points, and each incorrect answer is worth – I points.
If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answer:
yes, he gets 674 points
Step-by-step explanation:
12*58=696
22*1=22
696-22=674
Solve.
-6x = 3x^2 + 1
Answer:
Step-by-step explanation:
answer would be
x = -3 + Square root of 6 divided by 3
or
x = - (3 + square root of 6) divided by 3
Solve with the quadratic formula
10/9 x 7/4 in fraction in simplest form
Answer:
35/18
Step-by-step explanation:
15 + ______ = 7 + 15 Commutative Property of Addition *
Answer:
7
Step-by-step explanation:
Could also be 6 + 1, just whatever adds to 7
Hello There! :)
15+7=7+15
The Commutative Property states:
a+b=b+a
Hope it helps
[tex]GraceRosalia[/tex]
to grow properly, each tomato plant needs 1.5 square feet of soil and each broccoli plant needs 2.25 square feet of soil. the graph shows the different combinations of broccoli and tomato plants in an 18 square foot of soil. match each point to the statement that describes it.
The match for the graph would be
at Point A: 0 tomato and 8 broccoli planted, this is matched to 2.Point B: 3 tomato planted and 2 broccoli planted. this is matched to 3Point C: 6 tomato planted and 4 broccoli matched this is matched to 1Point d: 4 tomato and 6 broccoli matched to point 1.What is a graph?This is used to refer to the graphical or the diagrammatical representation that is used to show relationship between variables. With the vy axis and the x axis.
In this graph the two vegetables have the y and the x axis with number of broccoli in the y axis and in the x axis we have tomato.
From the graph we came up with the representation here: The match for the graph would be
at Point A: 0 tomato and 8 broccoli planted, this is matched to 2.Point B: 3 tomato planted and 2 broccoli planted. this is matched to 3Point C: 6 tomato planted and 4 broccoli matched this is matched to 1Point d: 4 tomato and 6 broccoli matched to point 1.Read more on graphs here:
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I had 400 muffins and I got left with 62 and I sold them for 0.75 hiw much money did I make
Answer:
$253 and 5¢
Step-by-step explanation:
400-62=338
sold 338
338•0.75= 253.5
so $253 and 5¢
Answer:$253.00
Step-by-step explanation:
Latasha wrapped 2 presents every 10 minutes. At that rate, how many would she wrap in 20 minutes?
Answer:
4
Step-by-step explanation:
If she wraps 2 every 10 minutes, then multiply by 2.
10*2=20 (20 minutes)
2*2=4 (4 presents)
Let f(x)=x^2+4
Write a function g whose graph is a reflection in the y-axis of the graph of f.
Answer:
[tex]g(x)=x^2+4[/tex]
Step-by-step explanation:
Hi there!
Given:
[tex]f(x)=x^2+4[/tex]
Let g be a function whose graph is a reflection in the y-axis of the graph of f.
What we need to know:
To reflect a function f in the y-axis, we would need to multiply x by -1:
[tex]g(x)=f(-x)[/tex]
Apply and solve:
[tex]g(x)=(-x)^2+4\\g(x)=x^2+4[/tex]
I hope this helps!
____% of 100 is 14 I. Writing more bc I need 20.characters
Answer:
Let the required% = x
A.T.Q.
x% of 100 = 14
x/100 × 100 = 14
x/100 = 14/100
x =14/100 × 100
x = 14%
If you like my answer than please mark me brainliest thanks
Answer:
14/100 × 100
Step-by-step explanation:
find the equation of the line parallel to y=5x+7 and passing through (3,-8)
Answer:
hope it helps you thank you
Step-by-step explanation:
mark me as brilliant
Please can someone help with this question. I don't understand
Answer:
See below,please.
Step-by-step explanation:
Volume of water = meter reading (11) - meter reading (8)
=
[tex] = 4598 - 4559 = 39 {m}^{3} [/tex]