Answer:
Final potential energy = 24 Joule
The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s
Step-by-step explanation:
Given:
Mass of object, m = 0.30 Kg
Height of object, h = 8 m
Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]
a) Formula for Potential Energy:
[tex]E_p =mgh[/tex]
Where m is the mass of object
g is acceleration due to gravity and
h is the height of object
Putting the values of m, g and h
[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]
b) Formula for initial and final velocity:
[tex]v^{2} =u^{2} +2gh[/tex]
where v is the final velocity
u is the initial velocity with which the object is thrown
g is acceleration due to gravity and
h is the height obtained by object
here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.
h = 8m
g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)
Putting the values to find 'u':
[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]
What is the perimeter of the triangle?
Answer:
36 units
Step-by-step explanation:
The short leg is 9 units and the long one is 12 units.
Use pythagorean theorem to find the hypotenuse, a² + b² = c²
Plug in the numbers: 9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = c
15 = c
Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.
What is 0.25 as a percent?
Answer:
Step-by-step explanation:
25%
the numbers after the decimal formes a percent
0.x
x = x_%
Answer:
25%
Step-by-step explanation:
25 x 100 you move the decimal point two places to the right.
So you end up with 25%
I really hope this helps.
Which of the following could be used as an example of a mass of one kilogram?
A. a grocery sack of apples
B. 10 paperclips
C. a soda cup of water
D. a filled suitcase
Answer:
i would think C
Step-by-step explanation:
tell whether this has one solution, infinitely many solutions, or no solution. Explain your reasoning. y=2x+7, y=3x-1
Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
What is the base of a triangle with a height of 14 cm and an area of 42 square cm?
Answer:
[tex]6cm[/tex]
Step-by-step explanation:
[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]
hope this helps
Answer:
6
Step-by-step explanation:
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.
Which expession is equivalent to 4-(-7)
Answer:
4 + 7 = 11
Step-by-step explanation:
Subtracting a negative means adding.
To subtract a number, add its opposite. The opposite of -7 is 7, so to subtract -7, add 7.
4 - (-7) = 4 + 7 = 11
Answer:
4+7
Step-by-step explanation:
Which pair of terms are not both true for the number 3? Mark Brainliest!
A. Integer and rational number
B. whole number and integer
C. Natural number and integer
D. whole number and irrational number
Answer:
D
Step-by-step explanation:
3 is not irrational, it can be converted into a fraction (ratio) 3/1 quite easily
Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?
Answer:12-9=3
Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9
Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!
Answer:
The answer is No
Step-by-step explanation:
None of these match eachother or make any sense
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.
I hope this helps!
what is the y intercept, function, domain and range, and horizontal asymptote of y=3^x
Answer: y−intercept is =(0,−2), the horizontal asymptote is y=4, Domain is − ∞ < x < −2 and −2 < x < ∞, Range is − ∞ < y < 4 and 4 < y < ∞
Step-by-step explanation: Vertical asymptote can be found by setting the denominator equal to 0 and solving for x : , Horizontal asymptote can be found by evaluating yas x→±∞,
Need help please ???
Answer:
i believe the answer is 0.75
Step-by-step explanation:
i used siri
simplify this expression
Answer:
option 4
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
Given
(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]
How do I find the area of this figure?
Answer:
140 units^2
Step-by-step explanation:
Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.
A = bh
A=14(10)
A=140units^2
A bottle of iron supplement has 45g of iron in 330ml of solution. How many grams of iron are in
100ml of solution?
Answer:
45 * 100 / 330 = amount in 100 ml of solution
13.6363636364 grams
Step-by-step explanation:
I will give you brainliest!!!!! Which equation models the total profit y, based on the number of T-shirts sold x?
Answer:
B. y-25=5(x-20)
XYZ is a right-angled triangle. Calculate the length of XZ. Give your answer correct to 2 decimal places. PLEASE ANSWER MY QUESTION
Answer:
3.52 m
Step-by-step explanation:
The question is not complete.
Let us assume XY = 1.35 m and YZ = 3.25 m.
If XZ is the longest side of the right-angled triangle (that is the hypotenuse), we can calculate XZ using the Pythagoras theorem.
The Pythagoras theorem state that the square of the hypotenuse side is equal to the sum of the square of the other two sides of the triangle.
That is for Triangle XYZ with XZ as hypotenuse:
XZ² = XY² + YZ²
Substituting:
XZ² = 1.35² + 3.25²
XZ² = 1.8225 + 10.5625
XZ² = 12.385
XZ = √12.385 = 3.5192
XZ = 3.52 m to 2 decimal places
work out the circumference of the circle when the radius is 6mm and give the answer in terms of pie.
_______________________________
Hey!!
Solution,
Radius(r)= 6 mm
Circumference of circle=?
Now,
Circumference of circle=2 pie r
=2*pi*6
=12 pie
So the answer is 12 pie.
Hope it helps...
Good luck on your assignment
______________________________
The circumference of the circle is 12[tex]\pi[/tex] mm.
What is circumference of circle ?
The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.
What is the formula of circumference of circle ?Let, radius of the circle be r
Then, Circumference of circle = [tex]2\pi r[/tex] unit
What is the value of required circumference ?Given, The radius is 6 mm
∴ Circumference of the circle = [tex]2\pi r[/tex]
= ([tex]2\pi[/tex]× 6) mm
= 12[tex]\pi[/tex] mm
Hence, Circumference of the circle = 12[tex]\pi[/tex] mm
Learn more about circumference of circle here :
https://brainly.com/question/164719
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Two numbers add to 200. The first is 20 less than the second. What are the numbers?
Answer:
Step-by-step explanation:
Let's call the first number x.
We can write an equation representing the problem using x:
x+x+20=200 (because the second number is 20 more than the first, or x)
Combine like terms: 2x+20=200
Subtract 20 from each side of the equation: 2x=180
Divide by 2: x=90
The first number is 90, the second number is 110.
Hope this helps!
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)
Answer:
Step-by-step explanation:
6--6 = 12
4-1 = 3
12/3 = 4
y=4x
-6-4 = -10
y=4x-10
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (1, -6) and (4, 6).
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
Now,
(1, -6) = (a, b) and (4, 6) = (c, d)
Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4
m = 4
The equation of a line is given as y = mx + c.
(1, -6) = (x, y)
-6 = 4 x 1 + c
-6 = 4 + c
-6 - 4 = c
c = -10
Now,
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
Learn more about equation of a line here:
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How many zeroes are at the end of 10! = 1∙2 ∙ … ∙ 9∙10?
Answer:
2.
Step-by-step explanation:
To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.
In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.
I hope this helps!
Given f(x) = -x – 4, solve for x when f(x) = 6.
Answer:
-10
Step-by-step explanation:
6=-x-4 plug in 6 for f(x)
10=-x add 4 to both sides in order to cancel out the -4
-10=x multiple each side by -1 to make the x positive
25 Uma conta de gás, no valor de R$ 48,00, com
vencimento para 13 de abril, trazia a seguinte
informação: "Se a conta for paga após o venci-
mento, incidirão sobre o seu valor multa de 2%
e juros de 0,033% ao dia, que serão incluídos na
conta futura".
Qual será o acréscimo a ser pago sobre o valor da
próxima conta por um consumidor que quitou o
débito em 17 de abril? E se ele tivesse atrasado
o dobro do número de dias para
Answer:
R$49.02
R$49.09
Step-by-step explanation:
Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:
[tex]V = 1.02*48\\V=R\$48.96[/tex]
O valor a ser pago n dias após o dia 13 de abril é dado por:
[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]
No dia 17 de abril, n =4 e o valor a ser pago é:
[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]
Caso n =8, o valor a ser pago seria:
[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]
Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct? She is correct, because both solutions satisfy the equation. She is not correct, because she made a sign error. She is not correct, because there are no solutions. She is not correct, because there is only one solution: x = 3.5. help plz
Answer:
She is not correct, because there are no solutions
Step-by-step explanation:
–|2x – 10| – 1 = 2
Add 1 to each side
–|2x – 10| = 3
Divide by -1
|2x – 10| = -3
An absolute value is positive and it would have to equal -3
This cannot happen so there is no solution
Answer:
She is not correct, because there are no solutions
Step-by-step explanation: C
Michael is an engineer and is drawing a scale model of a centrifuge for an oil company. If the centrifuge is 24 meters tall and he's using a scale of 1 centimeter=6 meters, then how many centimeters tall should the centrifuge be in the drawing?
I need help with this, please. Any advice would be appreciated.
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
Answer:
125
Step-by-step explanation:
What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.
Answer:
33.3%
Step-by-step explanation:
Take the original price and subtract the new price
36-24=12
Divide this by the original price
12/36 = 1/3 = .33333repeating
Multiply by 100 % to get to percent form
.3333 repeating * 100%
33.3333%
Round to the nearest tenth
33.3%
Two lions, Fluffy and Fireball, met at the zoo. Fluffy's tail is 1 1/3 of a meter long. Fireball's tail is 1 1/4 of a meter long. How much longer is Fluffy's tail than Fireball's tail?
Answer:
11 / 12 m
Step-by-step explanation:
11/3 - 11/4
LCM= 4*3=12
11/3 * 4/4 = 44/12
11/4 * 3/3 = 33/12
11/3 - 11/4
44/12-33/12= 11/12
Answer:
1/12
Step-by-step explanation:
First, simply convert the fractions into an improper fraction.
1 1/3= 4/3
1 1/4= 5/4
Then make conevrt it so the denominator is the same. In this case, the denominatorwould be 12.
4/3= 16/12
5/4= 15/12
Finally subtract regularly.
16/12-15/12= 1/12
