Answer:
-x
Step-by-step explanation:
Note that when there is a standalone variable (such as the x in this example), it typically actually means 1x. (If it is -x, it will be -1x.) However, you do not write 1 in front, as it is presumed.
Subtract the coefficient of each terms:
1x - 2x = -1x
-x is your simplified form.
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.
[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
The volleyball team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 18 eagles for $51.84. Company B sells 12 eagles for $34.32. Company C charges $45.60 for 16 eagles. Which company has the best buy?
Answer:
I think C has the best buy
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 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)
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.
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:
how many hours and minutes are between 8:00 am and 11:45 am?
Answer:
3 hours and 45 minutes i hope i helped you :)))
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:
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
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)
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
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:
-7+ 3x-2(3x+4)= 5(2x-3) + 4 (3x - 1) - 4.
Answer:
[tex] - 7 + 3x - 2(3x + 4) = 5(2x - 3) + 4(3x - 1) - 4 \\ - 7 + 3x - 6x - 8 = 10x - 15 + 12x - 4 - 4 \\ - 3x - 15 = 22x - 15 - 8 \\ 25x = 8 \\ x = \frac{8}{25} [/tex]
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
Please help me with this problem I will give you the brain thing and extra points
Which equation in standard form has a graph that passes through the point (5, -4) and has a slope of -6/5?
A)6x + 5y = 10
B)6x - 5y = 10
C)5x + 6y = 10
D)5x - 6y = 10
Answer:
b
Step-by-step explanation:
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
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
10/9 x 7/4 in fraction in simplest form
Answer:
35/18
Step-by-step explanation:
____% 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:
How do you evaluate this expression
Answer:
= 3
Step-by-step explanation:
What is the value of x?
Answer:
D. 16
Step-by-step explanation:
1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).
2. (Solving)
Step 1: Subtract 7x from both sides.
[tex]8x-8-7x=7x+8-7x[/tex] [tex]x-8=8[/tex]Step 2: Add 8 to both sides.
[tex]x - 8 + 8 = 8 + 8[/tex] [tex]x = 16[/tex]Step 3: Check if solution is correct.
[tex]8(16)-8=7(16)+8[/tex] [tex]128-8 = 112+8[/tex] [tex]120 = 120[/tex]Therefore, the answer is D. 16.
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:
https://brainly.com/question/25184007
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How do you solve question 6? (attachment included)
Answer:
9 i think
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)
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)
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 :)
A local mechanic charges customers a flat fee of $60 before any work is done and a rate of $85 per hour for labor. Which
equation represents the relationship between the total charge for labor, L, in dollars and the number of hours worked, H?
Answer: The equation would be L = 85H + 60
Step-by-step explanation: