A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?
Answer:
[tex]KE = 520 J[/tex]
Step-by-step explanation:
[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]
Solve for x - Remember to multiply both sides by the reciprocal 2/3 x = 12 *
Answer:
x=18
Step-by-step explanation:
First, multiple both sides by reciprocal 3/2.
It will look like this: x=12*3/2
Then, simplify:
x=18
Hope it helped.
If one postage stamp costs $0.85, how much does a book of 25 stamps cost?
Answer:
$21.25
Step-by-step explanation:
Multiplying 0.85 by 25 gives 21.25
b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?
Answer:
22.5
Step-by-step explanation:
30/4=7.5
7.5*3=22.5
please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)
Answer:
Thanks so much
Step-by-step explanation:
plz give me brainiest
Answer:
= 0.312
Solution:
Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
2000000 ÷ 6410251 = 0.312
and therefore:
2 ÷ 6.410251.6109 1) = 0.312
Both calculated to 3 decimal places.
0 0 0 0 0 0 0. 3 1 2
6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0
− 0
2 0
− 0
2 0 0
− 0
2 0 0 0
− 0
2 0 0 0 0
− 0
2 0 0 0 0 0
− 0
2 0 0 0 0 0 0
− 0
2 0 0 0 0 0 0 0
− 1 9 2 3 0 7 5 3
7 6 9 2 4 7 0
− 6 4 1 0 2 5 1
1 2 8 2 2 1 9 0
− 1 2 8 2 0 5 0 2
1 6 8 8
Lauren predicts she will take 129 photos during vacation. If Lauren actually takes 111 photos, what is Lauren's percent error? Round your answer to the nearest tenth.
Answer:
Lauren's percent error = 13.95% Approx
Step-by-step explanation:
Given:
Number of photos predict = 129
Number of photos actual = 111
Find:
Lauren's percent error
Computation:
Lauren's percent error = [(Number of photos predict - Number of photos actual)/(Number of photos predict)]100
Lauren's percent error = [(129 - 111)/129]100
Lauren's percent error = [(129 - 111)/129]100
Lauren's percent error = [(18)/129]100
Lauren's percent error = 13.95% Approx
Please help me figure out what the slop-intercept form is. Also, what is the solution to the system?
Answer:
p= y=6x+2
Q= y=-2x+2.5
Step-by-step explanation:
the formula is y=mx+b
M=slope
B=y-intercept
The y-intercept is the number that your line goes through
The slope is two ordered pairs where you use the formula rise over run to find your slope.
brainliest for correct answer please help
Answer:
x=10
Step-by-step explanation:
Perimiter is 2(x+y) with x and y being the two differend sides. First side is 3x and the second is 2x+4. 2(3x+2x+4)=108. 10x+8=108 10x=100 x=10.
The sides are 24 and 30
Please mark brainliest hope this helps :D
Answer:
x=10
Step-by-step explanation:
Since this is a rectangle, we know that the values of opposite sides are equal and that the perimeter is all of the sides' values combined. Therefore:
2(2x+4)+2(3x)=108
First, we need to distribute the 2s on the left side.
4x+8+6x=108
Combine like terms.
10x+8=108
Subtract the 8 from both sides.
10x=100
Divide by 10.
x=10
HTH :)
What is the equation helppp
Answer:
y=2x+4
Step-by-step explanation:
Answer:
The slope-intercept equation is y=2x+4
Step-by-step explanation:
The y-intercept is where it crosses the y-axis, so 4, and to find the slope find perfect points or pretty points and rise then run. I took the point (0,4) and found the next pretty point (1,6) and rise/run it. In order to get to the next point you have to rise 2 and run 1 or 2/1 which is 2, so the slope is 2, then you plug it into the equation y=mx+b the y=intercept is b and the slope is m.
Taryn makes $80 for eight hours of work. She is paid in direct variation to the hours that she works. Which graph models her pay?.
three hundred eighty-nine billion, nine hundred thirty-six million, two hundred six thousand, seven hundred sixty-seven in standard form
Answer:
389,936,206,767
Step-by-step explanation:
Answer:
389,936,267,767
Step-by-step explanation:
thats the one
A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807, how many rooms of each kind were rented? system of equations
Let, number of double rooms and single rooms are d and s.
d + s = 26 ....1 )
Hotel rents double rooms at $34 per day and single rooms at $27 per day.
34d + 27s = 807 ....2)
Solving equation 1 and 2, we get :
34( 26 - s ) + 27s = 807
884 - 34s + 27s = 807
7s = 77
s = 11
And d = 26 - 11 = 15
Therefore, number of double rooms and single rooms are 15 and 11.
Hence, this is the required solution.
Representing linear functions: slope-intercept form
Answer:
answer should be A
Step-by-step explanation:
Write 2x+y=17 in slope-intercept form
Answer:
Step-by-step explanation:
Let's solve for x.
2
x
+
y
=
17
Step 1: Add -y to both sides.
2
x
+
y
+
−
y
=
17
+
−
y
2
x
=
−
y
+
17
Step 2: Divide both sides by 2.
2
x
2
=
−
y
+
17
2
x
=
−
1
2
y
+
17
2
Answer:
x
=
−
1
2
y
+
17
2
This can be determined by the concept of straight line. [tex]\bold{y=-2x+17}[/tex] is the slope-intercept form of [tex]2x+y=17[/tex].
Given: 2x + y = 17
As, we know that,
Equation of line is,
[tex]\bold{y=mx+c}[/tex]
Where, 'm ' gives the slope/gradient of the line and 'c' gives y-intercept.
From the given equation,
[tex]2x+y=17[/tex]
Solve it further , we get,
[tex]\bold{y=-2x+17}[/tex]
This is the slope-intercept form of [tex]2x+y=17[/tex].
Here, comparing this with [tex]y=mx+c[/tex], we get
m= -2 ( slope/gradient) and c= 17 (y-intercept)
So, slope / gradient of line : m= -2.
For further details, please refer this link:
https://brainly.com/question/11824567
It costs $11 for $15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
pls answer i need it
Answer:
$0.73
Step-by-step explanation:
You need to divide $11 by 15 granola bars
The answer is 0.73333333333. . .
Rounded to the nearest hundredth is 0.73
So 1 granola bar costs $0.73
Hope this helped :)
Answer: It is $0.73 for each granola bar. 11/15
Step-by-step explanation:
PLEASE HELP ASAP!!!!
the graph below models an exponential relationship. drag one equation and one table to match the relationship shown.
Answer: y=-2^x is an equation.
I got the second one wrong.
The base of the exponential relationship that gives the graph that is below
the horizontal x-axis has a negative constant coefficient.
The equation that matches the given relationship is the option; y = -2ˣThe table that matches the relationship is the option;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]Reasons:
Points on the graph are; (0, -1) (1, -2), and (2, -4).
The above points can be presented in a tabular form as follows;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]
The above table which corresponds with the first table is the table that
matches the relationship of the graph.
By using the equation, y = -2ˣ, we have;
At x = 0, y = -(2⁰) = -1 which gives the point (0, -1)
At x = 1, y = -2¹ = -2, which gives (1, -2)
At x = 2, y = -2² = -4, which gives (2, -4)
The above points are the points on the graph, therefore, the equation is the option; y = -2ˣ
Learn more about exponential functions here:
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A receipe makes 3 dozen (36) muffins. You only want to make one dozen. How much of the original recipe should you make.
Answer:
a third 1/3
Step-by
you only want 1 dozen so its 1 dozen/3 dozen
I need to find the answer to B
Answer:
a) The next two terms are: 13, 16
b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Step-by-step explanation:
a) Find the next two terms of sequence: -2,1,4,7 and 10
The common difference d: a₂-a₁ = 1-(-2)= 3
a₃-a₂= 4-1 = 3
a₄-a₃=7-4=3
So, common difference is : 3
Next two terms are: 10+3 = 13
13+3= 16
The next two terms are: 13, 16
b) Find nth term of the sequence
The nth term can be found using formula:
[tex]a_n=a_1+(n-1)d[/tex]
where a₁=First term and d=Common Difference
In the sequence given we have a₁=-2 and d=3
So, the nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]
So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the neartst tenth if necessary.
Answer: 32.0%
Step-by-step explanation:
The price of car last month = $250
The price of the car this month = $330
Increase in price = $330 - $250 = $80
Percentage increase = (Increase in price/Cost price last month) × 100
= $80$250 × 100
= 0.32 × 100
= 32.0%
The percent of increase in the price of the car is 32.0%.
If the point R (x, y) is equidistant from two points P (- 3, 4) and Q (2, – 1), prove that
y = x + 2.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance between (x, y) and the 2 given points and equate them.
Using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = P(- 3, 4)
d = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]
Repeat with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = Q(2, - 1)
d = [tex]\sqrt{(2-x)^2+(- 1- y)^2}[/tex]
Equating both distances
[tex]\sqrt{(2-x)^2+(-1-y)^2}[/tex] = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]
Square both sides
(2 - x)² + (- 1- y)² = (- 3 - x)² + (4 - y)² ← expand and simplify both sides
4 - 4x + x² + 1 + 2y + y² = 9 + 6x + x² + 16 - 8y + y²
subtract x² + y² from both sides
5 - 4x + 2y = 25 + 6x - 8y ( add 8y to both sides )
5 - 4x + 10y = 25 + 6x ( subtract 5 from both sides )
- 4x + 10y = 20 + 6x ( add 4x to both sides )
10y = 10x + 20 ( divide all terms by 10 )
y = x + 2 ← as required
Write a quadratic function in the vertex form such that the graph of the function has a vertex at (6, -2) and passes through point (9, -11).
Order from greatest to least : 0.8; 8.83; 0.083; 80.83
Answer:
ok
Step-by-step explanation:
0.083,80.83,8.83,0.8
Hope that helps you.
I’ll give brainliest :)!
Answer:
-13
Step-by-step explanation:
g(1) = -5*1 = -5
f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13
Select the graph that represents the solution of the compound inequality –6 ≤ 4x + 6 < 14.
A number line from negative 5 to 5 in increments of 1. A point is at 0 and a bold line is drawn to the right stopping at the open circle at 2.
A number line from negative 5 to 5 in increments of 1. A point is at negative 5 and a bold line is drawn to the right stopping at the open circle at 3.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 5.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
Selecting the graph that represents the solution of the compound inequalityfrom the question, we have the following parameters that can be used in our computation:
–6 ≤ 4x + 6 < 14
Subtract 6 from all sides
So, we have
–12 ≤ 4x < 8
Divide through by 4
–3 ≤ x < 2
The number line that represents this is (d)
Read more about inequality at
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1) Solve by using elimination.
x-3y = 7
3x + 3y = 9
Answer:
( 3 - 3 )
Step-by-step explanation:
I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.
Please help! Pleaseeee! It’s not that hard
Answer:
B
Step-by-step explanation:
What property would you use to solve. 6x=72
Answer:
divison i believe
Answer: Multiplication Property of Equality
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $21.15.
Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of
glass?
Answer:
Your answer is going to be $4.70.
Step-by-step explanation:
21.15/9= 2.35
2.35*2=4.70
If u understand this May u please help me please
Answer:
y=-(2/3)x-3
Step-by-step explanation:
Maria and Don Papace are flying to Florida to explore the possibility of moving there. They will be traveling with their two teenage sons. The table below lists information they have researched on the round-trip airfares that are available for purchase on the dates they have chosen to travel.
Answer:
5
Step-by-step explanation: